Identify the values of the variables. Give your answers in simplest radical form. Help!
Answers
Considering the triangle given the variables are calculated to be
x = (5√6)/3
y = (10√6) / 3
How to calculate the unknown variablesInformation given in the question
right angle triangle
The unknown variables is calculated using SOH CAH TOA
Definition of variables for the right angle triangle
hypotenuse = y
opposite = 5√2
adjacent = x
The variable x is solved using tan, TOA, the angle is 60
tan 60 = Opposite / Adjacent
tan 60 = (5√2) / x
x = (5√2) / tan 60
x = (5√6)/3
The variable y is solved using sin, SOH, the angle is 60
sin 60 = Opposite / Hypotenuse
sin 60 = (5√2) / y
y = (5√2) / sin 60
y = (10√6) / 3
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Related Questions
Find the value of .x.
(5r-24)
(8x + 9)-
Answers
Answer:
x = 15
Step-by-step explanation:
since the sides are bisected, the inner line is parallel to the largest side.
8x+9 + 5x-24 = 180
92≤x≤9? I need help with this fast thankyou
Answers
Answer:
yes
Step-by-step explanation:
because 4
Answer:
Step-by-step explanation:
average rate of change
[tex]=\frac{25-(-10)}{9-2} \\=\frac{35}{7}\\=5[/tex]
differentiate y=in(3-4cosx)
Answers
For given equation y = ln(3 - 4 cos(x)),
dy/dx = 4sin(x) / (3 - 4 cos(x))
In this question, we have been given an equation y = ln(3 - 4 cos(x))
We need to differentiate y = ln(3-4cosx)
dy/dx
= d/dx(ln(3 - 4 cos(x)))
= 1/(3 - 4 cos(x)) * d/dx(3 - 4cos(x)) .......(by Chain rule)
= 1/(3 - 4 cos(x)) * [4 sin(x)]
= 4sin(x) / (3 - 4cos(x))
Therefore, for given equation y = ln(3 - 4 cos(x)),
dy/dx = 4sin(x) / (3 - 4 cos(x))
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(b) Kala runs 6 miles in 44 minutes.
How many miles does she run per minute?
miles per minute
Answers
Answer:
0.1364 miles per minute
Step-by-step explanation:
time = pace × distance
time = pace time per unit distance × distance
distance = time / pace
distance = time / pace time per unit distance
pace = time / distance
pace time per unit distance = time / distance
speed = distance / time
speed distance per unit time = distance / time
The Roxbury CC Tigers basketball team scored 12 points in the first 6 minutes of a game. If they continue at the same pace, how much will they score during the entire 40 minute game?
Answers
84 i think?
im not sure if i did my math properly
Answer:
80
Step-by-step explanation:
40 ÷ 6 = 6.66666667 x 12 = 80
5. Solve the inequality. Graph the solution.
T-9 <-6
Answers
Answer:
b
Step-by-step explanation:
because you solve it and you get B
At the beginning of a journey, the fuel tank of a car was 34 full. When the car reached its destination, it had consumed 60% of the gasoline in the tank. The full capacity of the fuel tank was w gallons.
a Enter an algebraic expression for the amount of gasoline left in the fuel tank.
gal
b If w = 15.5, how much gasoline was left in the tank at the end of the journey?
gal
Answers
a) An algebraic expression for the gasoline left in the fuel tank is L = 0.4w.
b) If w = 15.5, the amount of gasoline left in the tank at the end of the journey was 6.2 gallons.
What is an algebraic expression?An algebraic expression is a mathematical statement that combines constants and variables together with mathematical operands.
The mathematical operands include addition, subtraction, division, multiplication, etc.
Let L = the amount of gasoline left
Let the full capacity of the fuel tank = w gallons
Gasoline consumed on the journey = 60% = 0.6
Equation:L = w - 0.6w
L = 0.4w
Solution:If w = 15.5
L = 0.4(15.5)
= 6.2 gallons
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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 f(t)=−16t2+32t+20, where t is the time in seconds and f(t) is the height, in feet, of the object. What is the maximum height, in feet, that the object will reach?
Answers
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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Using the same pictorial sequence from Growing Dots 1 and Growing Dots 2, but a different beginning point, describe the pattern you see. Assuming the sequence continues in the same way, how many dots are there at 100minutes? Create a table and graph. Write an equation for the number of
dots at tminutes.
Answers
In total there will be 397 dots after 100 minutes.
What do you mean by airthmetic sequences?
Arithmetic sequences are sequences of the form:
a, a+d, a+2d, a+3d, a+4d, …
a is the first term and d is the common difference
series. The n terms of the arithmetic progression are given by
[tex]a_{n}[/tex] = a + (n - 1)d
The number d is called the common difference
Arithmetic progressions differ by d and any terms [tex]a_{n}[/tex] and [tex]a_{n-1}[/tex]
d = [tex]a_{n}-a_{n-1}[/tex] -
According to the given pattern, in the first figure, number of dots is 1 , in the second figure, number of dots become 5 , similarly in the next the count is 9 and 14
So, the sequence become
1,5,9,14......
here first term , a = 1
common difference , d = 5-1 = 4
We need to find the number of dots after 100 minutes
So, here n = 100
We need to find [tex]a_{100}[/tex]
[tex]a_{100}[/tex] = a + (100 - 1) d = 1 + 99(4) = 1 + 396 = 397
Therefore, in total there will be 397 dots after 100 minutes.
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8 (x + 2 ) when x = 6
Answers
Answer:
64
Step-by-step explanation:
8(x+2) when x=6
replace x with 6
8(6+2)
distribute 8
48+16= 64
Consider the equation and the following ordered pairs: (4,y) and (x,2).
y=−2x+4
Step 1 of 2 : Compute the missing x and y values so that each ordered pair will satisfy the given equation.
Answer
Keyboard Shortcuts
Complete the table below.
x y
row 14 Answer
row 2 Answer
2
Answers
The missing x and y values in the ordered pair of the equation are:
x = 1
y = -4
How to Find the Ordered Pairs of an Equation?Given the ordered pair (x, y) of an equation, y = mx + b, we can find their values by plugging in the given value of either of the x or y coordinates to find the other coordinate value.
The ordered pairs of y = -2x + 4 are given as:
(4, y) and (x, 2)
To find the value of y, substitute x = 4 into the equation y = -2x + 4:
y = -2(4) + 4
y = -8 + 4
y = -4
The value of y is -4.
To find the value of x, substitute y = 2 into the equation y = -2x + 4:
2 = -2x + 4
2 - 4 = -2x
-2 = -2x
-2/-2 = x
1 = x
x = 1
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Which inequality is represented by the graph?
5 - 3 -2 -1 0 1 2 3
-3
(1) x>-1
(3) *<-1
(2) x≤-1
D
(4) x ≥-1
4
gering
5
Answers
Answer:
answer,(2)x≥-1
Step-by-step explanation:
it was right
use the given information about the polynomial graph to write the equation
Degree 5. Roots of multiplicity 2 at x = −3 and x = 2 and a root of multiplicity 1 at x = −2. y-intercept at (x, y) = (0,62).
Answers
For the given roots and point, the polynomial is:
p(x) = (62/72)*(x + 3)²*(x - 2)²*(x + 2)
How to write the polynomial?We know that a polynomial with leading coefficient a and the roots:
x₁, x₂, ..., xₙ
Can be written as:
p(x) = a*(x - x₁)*...*(x - xₙ)
Here we have the roots:
-3, -3, 2, 2, -2
Then we can write:
p(x) = a*(x + 3)*(x + 3)*(x - 2)*(x - 2)*(x + 2)
p(x) = a*(x + 3)²*(x - 2)²*(x + 2)
Now we also know that our polynomial passes through (0, 62), then:
p(0) = 62 = a*(0 + 3)²*( 0 -2)²*(0 + 2)
62 = a*9*4*2
62/(9*4*2) = a
62/72
then the polynomial is:
p(x) = (62/72)*(x + 3)²*(x - 2)²*(x + 2)
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In which of these cases should the mean be used
Answers
Use a table of areas to obtain the shaded area under the standard normal curve.
Answers
The shaded area under the standard normal curve is 2.58%.
According to z-score table,
Area for < 2.23 = 0.9871
Area for >2.23 = 1 - 0.9871
= 0.0129
Area for < 2.23 = 0.0129
Total area = 0.0129 + 0.0129
= 0.0258
Area percent = 0.0258*100
= 2.58%
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Alan has 229 songs on a playlist. He's categorized them in the following manner: 11 rock, 21 Latin American, 46 gospel, 30 country, 39 rap, 25 classical, and 57 pop. If Alan begins listening to his playlist on shuffle, what is the probability that the first song played is a rock song?
Answers
The probability of the event that the first song played by Alan is a rock song is 0.01.
What is probabilityThe probability of an event occurring is the ratio of the number of required outcome divided by the total number of possible outcomes. But the probability of an event say event "a" not occurring is 1 - a.
We shall calculate for the probability of the event that Alan's first song to be played is a rock song as follows:
probability of playing a rock song = 11/229
probability of not playing a Latin American song = 208/229
probability of not playing a gospel song = 183/229
probability of not playing a country song = 199/229
probability of not playing a rap song = 190/229
probability of not playing a classical song = 204/229
probability of not playing a pop song = 172/229
So,
The probability that the first song played is a rock song = (11/229) × (208/229) × (183/229) × (199/229) × (190/229) × (204/229) × (172/229)
The probability that the first song played is a rock song = 0.05 × 0.91 × 0.80 × 0.67 × 0.83 × 0.89 × 0.75
The probability that the first song played is a rock song = 0.01
Therefore the probability of the event that Alan's first song played is calculated to be 0.01 approximated to 2 decimal places.
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On what intervals is the function increasing?
Indicate intervals on the x-axis using the Ray tool for intervals that extend to infinity and the Segment tool for bounded intervals.
Graph a ray by selecting the endpoint followed by a point on the ray. Graph a segment by selecting an endpoint followed by the other endpoint.
Answers
Answer:
[-7, - 2] and [3, 7]--------------------------------------
The graph has two local maximums and two local minimums.
The intervals between those points are the increasing intervals.
Refer to the attached, where the intervals are marked.
The intervals are
x = [-7, - 2] and [3, 7]help with this pls! Lol
Answers
Answer:
3y+3y-12
Step-by-step explanation:
we can add the coefficients of y to make 6y-12
And that is equivalent
Hopes this helps please mark brainliest
a bakery worker uses 175 cups of sugar to make 100 cinnamon rolls. at this rate, how many cups of sugar would be needed to make 1 cinnamon roll?
Answers
175/100=1.75 1.75 cups make one cinnamon roll
The mean systolic blood pressure of people in the U.S. is
124
124 with a standard deviation of
18
18. Assume that systolic blood pressure follows a normal distribution. Round your answers to one decimal. Use the 68-95-99.7 Rule to answer the following questions.
a) What percentage of the people in the U.S. have systolic blood pressure between
106
106 and
124
124?
%
%
Preview
b) What percentage of the people in the U.S. have systolic blood pressure between
88
88 and
160
160?
%
%
Preview
c) What percentage of the people in the U.S. have systolic blood pressure between
70
70 and
124
124?
%
%
Preview
d) What percentage of the people in the U.S. have systolic blood pressure above
160
160?
%
%
Answers
The percentages, using the Empirical Rule, are given as follows:
a) Between 106 and 124: 32%.
b) Between 88 and 160: 95%.
c) Between 70 and 124: 49.85%.
d) Above 160: 2.5%.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.The mean and the standard deviation in this problem are given as follows:
Mean of 124.Standard deviation of 18.Considering the symmetry of the normal distribution, to facilitate the calculations, we have that:
49.85% of the measures are between 70 and 124.47.5% of the measures are between 88 and 124.32% of the measures are between 106 and 124.32% of the measures are between 106 and 142.47.5% of the measures are between 124 and 160.49.85% of the measures are between 124 and 178.160 is two standard deviations above the mean, hence the percentage above it is of:
2.5%.
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brainliest points whatever you want please
Answers
Annual rate of return earned when the share was sold at $50 per share is 20%
Annual rate of return earned when the share was sold at $60 per share is 40%
How to calculate annual rate of returnAnnual rate of return is given by the formula
let end of the year price = eyp
let beginning of the year price = byp
= {(eyp - byp) / byp} * 100
Annual rate of return at share price of $50 per share
when there is paying of dividends the value is added to the the eyp
eyp = 50 * 100 + 2 * 100 * 5 = 6000
byp = 50 * 100 = 5000
= {(6000 - 5000) / 5000} * 100
= 20%
Annual rate of return at share price of $60 per share
eyp = 60 * 100 + 2 * 100 * 5 = 7000
byp = 50 * 100 = 5000
= {(7000 - 5000) / 5000} * 100
= 40%
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Select the equation of the graph line above. (A) y = x + 5 (B) y = 3x + 5 (C) y = x - 5 (D) y = 3x - 5
Answers
Answer: (D) [tex]y=3x-5[/tex]
Step-by-step explanation:
Using the points (0, -5) and (2, 1), the slope of the line is [tex]\frac{-5-1}{0-2}=3[/tex].
Since the y-intercept is -5, the equation is [tex]y=3x-5[/tex].
y varies inversely with the square x. If y =
-4 when x =
-2, find y when x= 7.
Answers
The value of y is - 0.326 when x = 7.
What are ratio and proportion?A ratio is a divisional comparison of two quantities, and a proportion is the equality of two ratios. A ratio is typically expressed as x: y or x/y, although it may alternatively be read as x is to y.
Comparatively speaking, a proportional equation states that two ratios are comparable. A ratio is expressed as x: y: : z: w and is understood to mean that x is to y as z is to w. Here, w and y are not equal to 0, therefore x/y Equals z/w.
A connection between two quantities is said to be in inverse proportion if one quantity rises while the other falls, and vice versa. As a result, an inverse ratio is expressed as y ∝ 1/x.
The general equation of proportion is given by
y = k/x²
-4 = k/(-2)²
k = -4(4)=-16
y = -16/x²
When x=7, then
y= -16/49
y= - 0.326
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BD = 5, CX = 3, CD = 5
what is BC
Answers
Answer:
need more information to answer
If Tomas divides his stack of programs between himself and his 3 friends, what fraction of the original stack will each of his friends have? can someone help me.
Answers
As per the given information, Tomas divides one program among four people then each person will get fraction of ( 1/ 4) of the original stack if divided equally .
As given in the question,
Number of stacks of program to be divided = 1
Number of friends = 3
Number of people among whom stack of program is to be divided = 4
Let us consider stack of program divided equally
Fraction of stack of program each friend will get = 1 /4
As
( 1 / 4 ) + ( 1 / 4 ) + ( 1 / 4 ) + ( 1 / 4 )
= ( 1+ 1+ 1+ 1) / 4
= 4/4
= 1
Therefore, for the given information, Tomas divides one program among four people then each person will get fraction of ( 1/ 4) of the original stack if divided equally .
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Solve for x.
Please !!!
Answers
Step-by-step explanation:
6x-4+60=14x-8
6x+56=14x-8
8x=64
x=8
A+(-7)=-17 I don’t know
Answers
Answer:
a = -10
So your answer is a = -10, I hope this helps!
Step-by-step explanation:
a + (-7) is the same as a - 7, so you could rewrite it as
a - 7 = -17
+ 7
If angle 1 is 7 degrees in the parallelogram pictured above, what is angle 2
Answers
Answer:
m∠2 = 173°Step-by-step explanation:
1 and 2 are supplementary angles and hence sum to 180°.
m∠1 + m∠2 = 180°7° + m∠2 = 180° m∠2 = 180° - 7° m∠2 = 173°The regression equation for 2 variables is y = -2.6 x + 10 If the value of R2 is 0.810, what is the value of R?
Answers
If the value of R² in the regression equation is 0.810, the value of R is 0.9
How to determine the value of r?From the question, we have the following parameters that can be used in our computation:
Regression equation: y = -2.6x + 10
Value of R2 = 0.810
Rewrite the above parameters properly
So, we have the following representation
y = -2.6x + 10
R² = 0.810
The variable r² represents the coefficient of determination
Recall that
R² = 0.810
This gives
r² = 0.810
Take the square roots of both sides
r = 0.9
Hence, the value of r is 0.9
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Which graph could be used to find the distance between the points (-3,-13) and (11, 9)?
Answers
The distance between the two point of the line segment is 26.07
Distance Between Two PointsDistance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
Distance between two points is the length of the line segment that connects the two given points. Distance between two points in coordinate geometry can be calculated by finding the length of the line segment joining the given coordinates
d = √((x₂ – x₁)² + (y₂ – y₁)²
Substituting the values into the equation;
d = 2√170 = 26.07.
Kindly find the attached graph of the two points.
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