Using differentiation, 36 feet is the maximum height, in feet, that the object will reach.
In the given question,
An object is launched directly in the air at a speed of 32 feet per second from a platform located 20 feet above the ground.
The position of the object can be modeled using the function [tex]f(t)=-16t^2+32t+20[/tex], where t is the time in seconds and f(t) is the height, in feet, of the object.
We have to find the maximum height, in feet, that the object will reach.
The given function is [tex]f(t)=-16t^2+32t+20[/tex].
To find the maximum height we differentiate the function with respect to t
[tex]\frac{df}{dt}=-32t+32[/tex]
As we know that at the maximum point the slope of the tangent is zero.
So df/dt = 0
So -32t+32=0
Subtract 32 on both side
-32t+32-32=0-32
-32t=-32
Divide by -32 on both side
-32/-32 t = -32/-32
t=1
Therefore at t=1 the function have maximum value. So we put t=1 in the given equation.
[tex]f(1)=-16(1)^2+32\times1+20[/tex]
f(1)=(-16)×1+32×1+20
Simplifying
f(1)=-16+32+20
f(1)=36 feet.
Hence, 36 feet is the maximum height, in feet, that the object will reach.
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The graph of the absolute value parent function, f(x) = |x), is stretched
horizontally by a factor of 3 to create the graph of g(x). What function is g(x)?
OA. g(x)= x+3|
OB. g(x) = 31x1
C. g(x) = 13x1
OD. g(x)= |||
Option A is the correct answer g(x) = |x+3| by using the relation with the parent function.
Explain absolute value function.
A function that wraps an algebraic expression in absolute value symbols is known as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value.
The definition of the absolute value parent function, f(x)=| x |, is as follows:
f(x) = [tex]\left \{ {{x ~, ~ x > 0} \atop {0 ~ , ~x = 0}} \atop {-x ~, ~x < 0} \right.[/tex]
Given parent function is f(x) = |x|
g(x) is obtained by stretching the graph of f(x) by a factor of 3.
Use the function g(x)=f(x−h) to translate the absolute value function f(x)=| x | horizontally.
The graph of f(x) is moved h units to the right to obtain g(x) for h>0
The graph of f(x) is translated h units to the left to obtain g(x) when h>0
Therefore, g(x) = |x+3|
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WHat is 5/1 x 4/5 This is a hard one
4
Step-by-step explanation:
[tex]{ \tt{ \frac{5}{1} \times \frac{4}{5}}} [/tex]
[tex]{ \tt{ \frac{5 \times 4}{5}}} [/tex]
[tex]{ \tt{ = \frac{20}{5}}} [/tex]
[tex] = { \green{ \boxed{ \pink{ \sf{4}}}}}[/tex]
Notebook paper is about 0.003 in. thick. If you cut a sheet of paper in half, stack one piece on top of the other, cut those in half, stack all the pieces together, repeating this process 20 times, how high will the stack of paper be?
Answer:
765
Step-by-step explanation:
We want 3 pizzas, each topped with 0, 1, 2, 3, 4, 5, or 6 of 6 available whole-pie toppings. How many different combinations of 3 such pizzas are possible if different pizzas need not have different toppings?
Select all true statements (pick 3)
A. ∠3 ≅ ∠2 because they are alternate interior angles.
B. m∠1 + m∠3 = 180 because they form a straight angle.
C. ∠3 ≅ ∠6 because they are alternate interior angles.
D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180.
E. ∠1 ≅ ∠3 because they are vertical angles.
Examining the figure, the correct options are
B. m∠1 + m∠3 = 180 because they form a straight angle.C. ∠3 ≅ ∠6 because they are alternate interior angles.D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180.What are congruent angles?Two angles are said to be congruent when they are equal to each. The symbol to represent congruency is ≅
The following angles are congruent in the figure
∠3 ≅ ∠6 alternate interior angles.∠2 ≅ ∠6 corresponding anglesWhen are corresponding angles said to be equal ?Corresponding angles refers to angles that are in a position that are in matching position to another angle.
Corresponding angles are said to be equal when there are parallel lines intersected across by a line called transversal line.
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The numbers 1000, 1001, 1002, 2000 are all in base 10. Rewrite all of the
numbers in base 5 and find the base 5 number whose digits have the least sum. What
is this number written in decimal notation?
Rewriting all numbers in base 5
1000 = 13000
1001 = 13001
1002 = 13002
2000 = 31000
The base 5 number whose digits have least sum are 13000 and 31000
The decimal notation of the numbers are 1000 and 2000
Define unit number.
The rightmost point in a number or the number one are both acceptable definitions of the word "unit" in mathematics. A unit can also be an item or a person that is seen as distinct and whole but is actually a component of a whole or group. An identification number for a unit in a declaration is referred to as a unit number.
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If I earn $11 /hr. I worked for 6 and a half hrs yesterday, How much did I earn?
He earned $71.5 if he earn $11 /hr. I worked for 6 and a half hrs yesterday.
Define hours.An hour (symbol: h; also abbreviated as hr) is a measure of time that is traditionally thought of as one-fourth of a day and that, according to science, lasts between 3,599 and 3,601 seconds, depending on how quickly the Earth rotates. There are 24 hours in a day and 60 minutes in an hour. 60 minutes is one of the 24 equally spaced out segments of a day.
Given,
Earns $11/hr
Worked for 6 hours and 30 minutes
Multiplying:
$11 × 6.5 hours
$ 71.5
He earned $71.5 if he earn $11 /hr. I worked for 6 and a half hrs yesterday.
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Simplify these expressions
a) ххххххуху
b) 2 xx x x x 3 xyxyxy
What must the value of x be in order to prove that
AEFG a AEHG by SSS?
The value of x will be= 90 degress.
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to our question-
triangle 1= traingle290=90. perpendicularwith the help of sas propertyboth angles are equal.hence,The value of x will be= 90 degress.
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Represent the following expressions as a power of the number a where a ≠ 0.: (a^3)^-2
1/[tex]a^{6}[/tex] is the required number.
What is an expression?Numbers, symbols and operators (such as and times) grouped together that show the value of something.
Given an expression (a³)^-2
(a³)^-2 = [tex]a^{-6}[/tex] = 1/[tex]a^{6}[/tex]
Hence, 1/[tex]a^{6}[/tex] is the value of the expression (a³)^-2
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At a carnival game, it cost Noah $12 to toss 30 rings. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
The table of the equivalent ratios is:
Toss Dollars
5 2
30 12
45 18
The points are plotted in the diagram below.
How to Create a Table of Equivalent Ratios?Applying the knowledge of ratios we can create a table of equivalent ratios, given that it cost $12 to toss 30 rings.
Therefore, the ratio of dollars to toss is: 12:30 = 2:5.
Number of toss = x
Amount in dollars = y
Substitute k = 2/5 into y = kx to derive an equation to use to create a table of equivalent ratios:
y = 2/5x.
Therefore, wheny = 2:
2 = 2/5(x)
10 = 2x
x = 5 toss
When x = 45:
y = 2/5(45)
y = 18 dollars
The table of equivalent ratios is completed as:
Toss Dollars
5 2
30 12
45 18
(5, 2), (30, 12), and (45, 18), which are the points of the equivalent ratio table are plotted as shown in the diagram below.
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In triangle GHJ, K(8,6) is the midpoint of GH, L(2,2) is the midpoint of HJ, and
M(10,4) is the midpoint of GJ. Find the coordinates of G, H, and J.
The coordinates of G(4, 4) , H (0, 2), J(8, 0)
In order to construct the three sets of relationships between the coordinates of each triangle's three sides' ends and the shared midpoint, we must first set up the three sets of relationships.
G(x(G), y(G))
K(2, 3) (2, 3)
M(6, 2) (6, 2)
H(x(H) and y(H))L (4, 1)
J(x(J), y(J))
K(2, 3) at the midway of side GH
According to the x-component:
x(H) = x(G - x(H))/2
x(G)-[x(H)-x(G)] = 2*x(H)
x(H) + x(G) = 4
x(H) = 4 - x(G) (G)
According to the y-component:
y(H) plus [y(G) - y(H)]/2 = 3.
2*y(H) plus [y(G-y(H)] = 6
y(H) + y(G) = 6
y(H) = 6 - y(G) (G)
Midpoint L(4) and side JH(1):
According to the x-component:
(x(H) + [x(J) - x(H)]/2) equals four.
2*x(H) plus [x(J)-x(H)] = 8
x(H) + x(J) = 8
x(H) = 8 - x(J) (J)
According to the y-component:
y(H) = y(J - y(H)]/2 + y(J) = 1
y(J) - y(H) = 2*y(H)
y(H) + y(J) = 2
y(H) = 2
Side GJ with M(6, 2) as the midpoint:
For the x - component, the formula is: x(J) = [x(G) - x(J)]/2 = 6 2*x(J) = [x(G)- x(J)] = 12 x(J) = 12 - x (G)
y(J) + [y(G) - y(J)]/2 = 2 2*y(J) + [y(G)- y(J)] for the y-component. = 4 y(J) = 4 - y + y(G) = 4 y(J) (G)
The x and y coordinates may now be easily separated, and we can use algebra to isolate each one and determine its location.
x(H) = 4 - x(G), 8 - x(J), and 12 - x(J) (G)
Because x(H) = x (H)
4 - x(G) = 8 - x(J) (J)
8 - x(J) - 8 - x(G) - 4 = -x(J) x(J) x(J) = 4 + x (G)
Using 1.c above and this relationship now x(J) = x(J), so:
-2 * x(G) = -8 x(G) =, 4 12 - x(G) = 4 + x(G) 12 - x(G) - x(G) - 12 = 4 + x(G) - x(G) - 12
Given that x(J) = 4 + x(G) above, x(J) = 4 + 4 = 8 and x(H) = 4 - x(G) = 4 - 4 = 0 respectively.
Let's now perform the identical procedure using the y-coordinates.
y(H) = 6 - y(G), y(H) = 2 - y(J), y(J) = 4 - y(G),
and since y(H) = y(H), 6 - y(G) = 2 - y(J), -y(G) = 2 - y(J) - 6 = -y(J) - 4 y(G) = y(J) + 4 Now that y(J) = 4 - y,
we may substitute (G).
y(H) = y(G) - 2 and y(H) + 4 - y(G) = 2
and y(H) + 4 - y(G) = 2 - 4 and y(G)
Since y(H) = 6 - y(G)
according to 1. above, y(H) = y(G) - 2 + 6 - y(G) 2 * y(H) = 4 y(H) = 2 y(H) = 2 - y(J) 2 = 2 - y(J) y(J) = 4 - y(G) 0 = 4 - y(G) y(G)
H(x(H), y(H)), G(x(G), y(G)), and J(x(J), y(J)) are the results.
To determine the coordinates of the angles or triangle's tips, we used the midpoints of each side.
The coordinates are: H (0, 2) G(4, 4) J(8, 0)
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A fisherman catchs 12 fish in 5 days. How many fish does he get in
5 + x days?
( 60+12x )/5 fish fisherman will catch in 5+x days .
What is unitary method ?The unit method is a method of solving a problem by first obtaining the value of a single unit, then multiplying the value of the single unit to obtain the necessary value.
Assume you go to the market to buy six apples. The shopkeeper told you that he sells 10 apples for 100 rupees. In this case, the apple is the unit and the apple price is the value. Knowing the units and values is important when solving problems using unitary methods.
For simplicity, always write what you calculate on the right and what you know on the left. In the problem above, we know the amount of apples, but we don`t know the value of the apples. Note that the concept of ratio and ratio is used for problems related to this method.
Calculation5 days ------------> 12 fish
1 day --------------> 12/5 fish
5 + x days --------------> 12/5 x (5+x)
= ( 60+12x )/5 fish
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Two sides are labeled 5,244 feet. The other two sides are labeled 1,495 feet. What is the perimeter to the nearest hundred?
Answer:
Step-by-step explanation:
42feet
Write the slope-intercept form for the equation of a line with slope m = -9 and y-intercept (0, 5).
The equation of this line is
The equation of the line is ,y= -9x+5.
What is an equation?A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality. A well-formed formula consisting of two expressions linked by an equals sign is considered to be an equation in English, but the word's cognates in other languages may have slightly different definitions. For instance, an équation is defined as having one or more variables in French.Finding the variables' values that cause the equality to be true is the first step in solving an equation with variables. The variables for which the equation must be solved are also known as the unknowns, and the unknowns' values that fulfill the equality are known as the equation's solutions. Equations can be categorized as either identities or conditional equations.Acc to our question-,
We should use the slope-intercept formula to solve this problem.
The point-slope formula states:= [ y = mx + c]
Where m is the slope and c is the y-intercept for the point (0,y1)
Substituting the information provided we get the equation: y= -9x+5.
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A rectangular tank with a square base, an open top, and a volume of 37044 ft^3 is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area.
The dimensions of this rectangular tank that has the minimum surface area are 42 feet and 21 feet.
How to calculate the dimensions of the tank that has the minimum surface area?First of all, we would determine the surface area of this rectangular tank with a square base by using this formula:
h = V/s²
Where:
h represents the height of a rectangular tank.s represents the side of the square base.V represents the volume of a rectangular tank.For the surface area of this rectangular tank with a square base, we have:
Surface area, A = base area + 4(lateral area)
Surface area, A = s² + 4(s × h)
Surface area, A = s² + 4(s × V/s²)
Surface area, A = s² + 4V/s
Next, we would take the first derivative of the surface area as follows:
A' = 2s - 4V/s²
Substituting the given parameters into the formula, we have;
A' = 2s - 4(37044)/s²
For the minimum surface area dimension, the first derivative of the surface area would be equated to zero:
2s - 148,176/s² = 0
148,176/s² = 2s
148,176 = 2s³
s³ = 74,088
s = ∛74,088
s = 42 feet.
For the height, we have:
Height, h = V/s²
Height, h = 37044/42²
Height, h = 37044/1764
Height, h = 21 feet.
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You pick a card at random.
5678
What is P(not divisor of 45)?
Write your answer as a percentage.
%
The percentage of card which is not divisor of 45 is 23.077%
Always write the things that need to be estimated on the right side and the variables that are known on the left side to simplify the task. In the important in the current, the number of apples is known, but it is unclear what they are worth. It should be highlighted that issues with this method are addressed using the concepts of ratio and proportion.
What does the term "percent" mean?
A fraction of one hundred is used to express a quantity or ratio as a percentage. The acronyms "pct," "pct," and occasionally "pc," as well as the percent symbol, "%," are also frequently used.
A % is a numeric expression that lacks both dimensions and a measurement system. The formula to determine the proportion of one number to another is percentage = (Original number/Another number) x 100.
In mathematics, a percentage is a number or ratio that represents a portion of 100. In percentages, 100% is meant. It contains no units.
A %, also known as a decimal or a fraction, is a figure that indicates how many out of 100 we are discussing. For example, "three for the price of one" is a percentage.
Given That:
In the deck of 52 cards You pick randomly 5 , 6 , 7 , 8
so each card has 4 variant
now for getting probability of not getting a divisor of 45 is
total outcomes = 52
observable outcomes = 4+4+4 = 12
its because 5 is a divisor so we didn't include it
hence the probability is 12/52
Percentage of this probability is 0.23077 x 100 = 23.077%
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In a set of eight consecutive integers, the smallest integer is more than $\frac35$ of the largest integer. What is the smallest possible value of the sum of the eight integers?
Answer:
116.
Step-by-step explanation:
Your welcome <3.
Answer:
116
Step-by-step explanation:
Completely factor the expression -4/5yn6 - 5/6y4n8
Answer:
See below
Step-by-step explanation:
You can pull one y and 6 n's out to start
then 4/5 = 24/30 and 5 / 6 = 25/30
and you can factor out a -1
- y n^6 /30 ( 24 + 25 y^3n^2 )
Please help me thank you :))))
Answer: y= (2/3)x - 2
Step-by-step explanation:
The biggest way to remember equations like these is to know rise over run which means however many times it goes up until it intersects with both x and Y will be on the top of the fraction and however many times it goes to the right until it intersects with both x and y will be on the bottom of the fraction. So since it hits (0, -2) then intersects at (3,0) it will be 2/3x and the Y is where X equals zero so it would be -2. Hope that helps!
Answer:
y = [tex]\frac{2}{3}x - 2[/tex]
Step-by-step explanation:
Step 1:
Choose two points on the graph, (x1, y1) and (x2, y2), to find the slope.
Find the ratio between change in y-values and change in x-values.
m = (y2 - y1) / (x2 - x1)
Points I picked:
(x1, y1) = (0, -2)
(x2, y2) = (3, 0)
Then,
m = (0 - (-2)) / (3 - 0)
m = 2/3
Step 2 :
Find the y-intercept from the graph. That is the point at which the line intersects the y-axis.
The y-intercept is -2.
b = -2
Step 3 :
Use the slope (m) and y-intercept (b) to write the equation in slope-intercept form:
y = mx + b
Substitute m = 2/3 and b = -2
y = 2/3 x - 2
Graph the given equation by evaluating integer values of x from −2 to 2 and plotting the resulting points
y= _2x_1
The graph of the linear equation can be seen in the image at the end.
How to graph the equation?Here we have the linear equation:
y = -2x - 1
To graph this, we need to evaluate from x = -2 to x = 2, this means replacing the value of x by the correspondent number.
if x = -2, then:
y = -2*(-2) - 1 = 4 - 1 = 3
So we have the point (-2, 3)
if x = -1
y = -2*-1 - 1 = 2 - 1 = 1
We have the point (-1, 1)
If x = 0
y = -2*0 - 1 = -1
We have the point (0, -1)
If x = 1
y = -2*1 - 1 = -3
We have the point (1, -3)
If x = 2
y = -2*2 - 1 = -5
We have the point (2, -5)
Now we just need to graph these 5 points on a coordinate axis and then connect them with a line, the graph of the linear equation can be seen below.
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five friends shared 8 1/3 pounds of apples equally. How many pund of apples do each of them get
Answer:
A fruit seller buys 712 fruits of which 3/4 are apples. The apples that he bought 1/3 were found to be rotten if he sold all the good apples at Rs.5 1/4 each.
Step-by-step explanation:
-8 What is 9.15 x 10°° written in standard form?
The value of the number 9.15 x 10° written in standard form is equal to 9.15.
As given in the question,
Given number is equal to :
9.15 x 10°
Given number 9.15 x 10° is written in standard form.
The value of the given number 9.15 x 10° written in standard form is given by:
9.15 x 10°
Here 10° = 1
Using property of number: Any number raise to zero is always equal to 1.
9.15 x 1
Using Multiplicative identity , number multiply to 1 remain number itself.
= 9.15
Therefore, the value of the number 9.15 x 10° written in standard form is equal to 9.15.
The complete question is:
What is the value of 9.15 x 10° written in standard form?
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Franks’s annual salary is $80000. About 25% of her salary is deducted for taxes.
How much tax is deducted?
Explain.
PLEASE HELP ASAP!! Represent the following expressions as a power of the number a where a≠0.
(a^3)^-2
(a^-1 • a^-2)^-3
((a^2)^-2)^2
After using the property of power, the expressions as a power of the number a is [tex](a^3)^{-2} = a^{-6}[/tex] , [tex](a^{-1}\cdot a^{-2})^{-3} = a^{9}[/tex] and [tex]((a^2)^{-2})^2=a^{-8}[/tex] .
In the given question we have to solve the given expressions as a power of the number a where a≠0.
The first given expression is [tex](a^3)^{-2}[/tex].
Using the property of multiplication of power; [tex](a^m)^n=a^{mn}[/tex].
Simplifying the expression.
[tex](a^3)^{-2} = a^{3*(-2)}[/tex]
[tex](a^3)^{-2} = a^{-6}[/tex]
The second expression is [tex](a^{-1}\cdot a^{-2})^{-3}[/tex]
Using the property of multiplication of power; [tex](a^m)^n=a^{mn}[/tex].
[tex](a^{-1}\cdot a^{-2})^{-3} = a^{(-1)\times(-3)}\cdot a^{(-2)\times(-3)}[/tex]
[tex](a^{-1}\cdot a^{-2})^{-3} = a^{3}\cdot a^{6}[/tex]
Using the property of sum of power [tex]a^m\cdot a^n=a^{m+n}[/tex]
[tex](a^{-1}\cdot a^{-2})^{-3} = a^{(3+6)}[/tex]
[tex](a^{-1}\cdot a^{-2})^{-3} = a^{9}[/tex]
The third expression is [tex]((a^2)^{-2})^2[/tex].
Using the property of multiplication of power; [tex](a^m)^n=a^{mn}[/tex].
[tex]((a^2)^{-2})^2=((a^2)^{(-2)\times2})[/tex]
[tex]((a^2)^{-2})^2=(a^2)^{-4}[/tex]
Again using the property of multiplication of power; [tex](a^m)^n=a^{mn}[/tex].
[tex]((a^2)^{-2})^2=a^{2\times(-4)}[/tex]
[tex]((a^2)^{-2})^2=a^{-8}[/tex]
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HELP! Recursive and explicit growth problem
The populations, considering an exponential function, are given as follows:
P(1) = 19.2.P(2) = 23.04.P(12) = 142.66.What is an exponential function?An increasing exponential function is modeled according to the rule presented as follows:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which the variables of the function are:
A(0) is the initial amount of the function.r is the growth rate of the function, as a decimal.In this problem, the parameters are given as follows:
A(0) = 16, r = 0.2.
Hence the function, written as P(t), is:
[tex]P(t) = 16(1.2)^t[/tex]
The numeric values are found replacing the lone instance of t by the value at which we want to find the numeric value, hence:
P(1) = 16 x (1.2)¹ = 19.2.P(2) = 16 x (1.2)² = 23.04.P(12) = 16 x (1.2)¹² = 142.66.More can be learned about exponential functions at https://brainly.com/question/25537936
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A new gaming chair costs $309.99. You have already saved $131.49 and earn $25.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.
25.5w − 131.49 = 309.99; w = 17
25.5 + 131.49w = 309.99; w = 7
25.5w − 309.99 = 131.49; w = 17
25.5w + 131.49 = 309.99; w = 7
The linear equation we need to solve is:
$25.50*w = $309.99 - $131.49
And the solution is w = 7.
How to write and solve the equation?We know that the cost of the gaming chair is $309.99.
To buy this, you already have saved $131.49, and save another $25.50 per week, then the amount you have after w weeks is:
f(w) = $131.49 + $25.50*w
So the linear equation we need to solve is:
$131.49 + $25.50*w = $309.99
To solve this we need to isolate w.
$131.49 + $25.50*w = $309.99
$25.50*w = $309.99 - $131.49
w = ($309.99 - $131.49)/$25.50 = 7
So they can buy the chair after 7 weeks.
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Great by is reducing by 250% the regular price of a tally set selling it for $225 the regular price of the tally set is
The regular price of the tally set is $300.
How to calculate the price?From the information Illustrated, Great by is reducing by 250% the regular price of a tally set selling it for $225.
Let the regular price be represented by x.
Therefore, x - (25% × x) = 225
x - 0.25x = 225
0.75x = 225
Divide
x = 225 / 0.75
x = 300
The price is $300.
Note that the above percentage in the question is 25% and not 250%.
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PLEASE answer ill give BRAINLIEST
1.What is the measure of CBA?
2.What is the measure of CAB?
3.When these 3 interior angles of a triangle are added together, what does it equal.
The measure of CBA is 44° , the measure of CAB is 46° and the sum of the three interior angles of the triangle is 180°.
According to the question,
We have the following information:
Angle CAB = 2x
Angle CBA = 3x-20
And the given triangle is a right-angled triangle which means that one of its angle is 90°.
Now, we know that the sum of three angles of a triangle is 180°.
So, we have the following expression:
2x+3x-20+90 = 180°
5x+70 = 180
5x = 180-70
5x = 110
x = 110/5
x = 22°
Now, putting the value of x in given angles:
Angle CAB = 2x
Angle CAB = 2*22
Angle CAB = 44°
Angle CBA = 3x-20
Angle CBA = 3*22-20
Angle CBA = 66-20
Angle CBA = 46°
Hence, the measure of CBA is 44° , the measure of CAB is 46° and the sum of the three interior angles of the triangle is 180°.
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Find the distance from the point (1,2) to the line-y= 1/2x-3. Round your answer to the nearest tenth.
Answer:
the graphical explanation please