If BD= 14 and CD= 4, then BC= ?
Remember that a segment that connects two points A and B is written as:
AB
Now, assuming that in this case the points B, D, and C are collinear, we can see that C is between B and D.
With this, we can find that BC = 10
Then we can write:
BD = BC + CD
And we know that:
BD = 14
CD = 4
we can replace thest two in the above equation to get:
14 = BC + 4
14 - 4 = BC
10 = BC
We just found that the value of the segment BC is 10.
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What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)? O y-4=3(x-1) 0 1-y=3(x-4) O Y,- 4= 3(1-x) o 1-y=3(4-X)
Answer:
y - 4 = 3(x-1)
Step-by-step explanation:
The point slope form of a line is
y-y1 = m(x-x1)
where (x1,y1) is a point on the line and m is the slope
y - 4 = 3(x-1)
37 square = 136? What is the missing digit and explain how you got it.
Answer:
The missing digit is 9 and goes on the end of 136.
Step-by-step explanation:
3^2
= 37 * 37
= 1369.
FA is a line, line segment, and a ray. tru or false
Answer:
The answer is "false".
Step-by-step explanation:
The following are the description of the line, line segment, and ray.
Line: The line is a single-dimensional figure, which has a length but no width. It has the direct path of points, which runs to the next without stopping in both directions. Line Segment: It is the portion of a line is called a segment. It has two end-points, which includes the endpoints for all the positions between these. The length of this section, can't be determined. Ray: The ray would be a straight path for one destination and moves one way........................
Answer:
1) when tomato patch is 6.5 feet the area is 191.75 sq.ft
2) when tomato patch is 7 feet the area is 217 sq.ft
3) when area is 338 sq.ft the tomato patch is 9.0778 feet
4) when area is 147.25 sq.ft the tomato patch is 5.543799 feet
Step-by-step explanation:
The given equation is :
3x^2 + 10x
Length of Tomato (in feet) x, 6.5 , x , 7
Patch Area of Vegetable Garden (in square feet) 338, x , 147.25, x
So we can find the missing terms with the help of the equation 3x^2 + 10x
Putting the values of x from the length of the tomato patch
1) 3x^2 + 10x= 3(6.5)²+ 10 (6.5)=126.75+ 65= 191.75 square feet
2) 3x^2 + 10x= 3(7)² +10 (7)= 147+70= 217 square feet
So the area of her vegetable garden for a variety of lengths of the tomato patch= 6.5 feet is 191.75 square feet
and for 7 feet is 217 square feet
Similarly we can find the length of the tomato patch from the area by again using the given equation 3x^2 + 10x
So when area = 338 square feet
The equation becomes
3x^2 + 10x= 338
Rearranging it : 3x^2 + 10x-338 =0
This is a quadratic equation and can be solved with the help of the formula.
Here a= 3, b= 10 and c= -338
x = -b±√b²- 4ac/2a
Putting the values of a,b,c we get
x= -10±√100+ 4056/6
x= -10± 64.467/6
x= 54.467/6 or -74.467/6 we ignore the negative value because the garden cannot have the negative area.
x= 9.0778 feet
Similarly repeating the same process would give
So when area = 147.25 square feet
The equation becomes
3x^2 + 10x= 147.25
Rearranging it : 3x^2 + 10x-147.25 =0
This is a quadratic equation and can be solved with the help of the formula.
Here a= 3, b= 10 and c= - 147.25
x = -b±√b²- 4ac/2a
Putting the values of a,b,c we get
x= -10±√100+ 1767/6
x= -10± 43.208/6
x= 33.208/6 or -53.208/6 we ignore the negative value because the garden cannot have the negative area.
x= 5.543799 feet
For the function f(x) = – 3x + 8, determine f(-5)
Answer:
23
Step-by-step explanation:
f(x) = – 3x + 8
Let x = -5
f(-5) = – 3*-5 + 8,
= 15 +8
= 23
Answer:
f(-5) = 23
Step-by-step explanation:
plug in -5 for x
f(-5) = -3(-5) + 8
-3 x -5 = 15.
15 + 8 = 23
f(-5) = 23
Hurry please help
The permitter of a rectangle pool is 160 m the land of the pool is 20 m more than it’s with what is the length
Answer:
60m
Step-by-step explanation:
If the measure of an angle is 13º, find the measure of its supplement.
Answer:
167°
Step-by-step explanation:
The supplement of an angle will always be the measure of an angle, when added to the original, will equal 180°.
If we know the measure of 1 of these angles, we can easily find the measure of the other, assuming x is the missing angle measure.
[tex]13+x=180[/tex]
We can subtract 13 from both sides to get the value of x.
[tex]13+x-13=180-13\\\\x=167[/tex]
Hope this helped!
Answer:
167
Step-by-step explanation:
Supplementary angles add to 180
x+13 = 180
Subtract 13 from each side
x = 180-13
x =167
The supplement to 13 is 167
(3X^2y^2)^3
What is the answer
Answer:
Step-by-step explanation:
3^3 * (x^2)^3 * (y^2)^3
27x^6y^6
is 8+(64+92) a commutative property
Answer:
Yes it can be
Step-by-step explanation:
You can switch the orders in addition and still get the same answer.
Name a point that is not collinear with points B and I.
B
1
C С
A
D
G
E
H
One such point is
All points except C are noncolinear with points B and I so one such point will be H.
What is a cube?A three-dimensional object with six equal square faces is called a cube. The cube's six square faces all have the same dimensions.
A cube is become by joining six squares such that the angle between any two adjacent lines should be 90 degrees.
The surface area of the cube = 6 side².
The volume of the cube = side³.
If two or more points are lies on a single straight line then that points will be co-linear.
In a given cube,
Point B, I, and C are making a straight line(side of the cube)
So all three points will be colinear for that line.
Now point C will be colinear with point B and I but all remaining point is not passing through line BI so all point except C will not be co-linear with point B and I.
Hence, All points except C are noncolinear with points B and I so one such point will be H.
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The required point that is noncollinear with points B and I is point H.
Given that,
To determine the point that is noncollinear with points B and I.
Collinear is defined as number of points that lie on the same line are collinear points.
A cube is a 3-dimensional figure with an equal length of sides and the angle between sides are 90.
Here,
In a cube,
Line AB, BF, BC contain B, and Line BC contains I and every point other than A, B C, I , and F are noncollinear to B and I,
Thus, the required point that is noncollinear with points B and I is point H.
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The scale for a map to actual distance is 2 cm to 100 mi. The driving distance on the map between Los Angeles and Las Vegas is 5.4 cm. What is the actual distance, in miles, between Los Angeles and Las Vegas?
Answer: 270 miles
Step-by-step explanation:
From the question, we are informed that the scale for a map to actual distance is 2 cm to 100 mi and that the driving distance on the map between Los Angeles and Las Vegas is 5.4 cm.
The actual distance, in miles, between Los Angeles and Las Vegas will go thus:
= 5.4cm/2cm × 100mi
= 2.7cm × 100miles
= 270 miles
What is the area of the rhombus
Answer:
[tex]Area \: of \: rhombus = \frac{pq}{2} [/tex]
Where p is diagonal 1 and q is diagonal 2
Step-by-step explanation:
Different formulas to find the area of a rhombus are:
Formulas to Calculate Area of RhombusUsing DiagonalsA = ½ × d1 × d2
Using Base and HeightA = b × h
Using TrigonometryA = b2 × Sin(a)
Area = d1×d2÷2
Brad gets an allowance of $16 each week, and his younger sister Samantha gets an allowance of $9 each week. Brad saves one-half of his allowance, and Samantha saves two-thirds of her allowance. Suppose Brad started with $0 savings, and Samantha started with $40. How many weeks will it take until they have the same amount in savings?
Answer:
20 weeks
Step-by-step explanation:
To be able to find the amount of weeks that it will take them to have the same amount, you can say that the amount that Brad saves each week for the number of weeks is equal to the amount that Samantha saves each week for the number of weeks plus the initial amount she has:
(16*1/2)*x=((9*2/3)*x)+40, where
x is the number of weeks
Now, you have to solve for x:
8x=6x+40
8x-6x=40
2x=40
x=40/2
x=20
According to this, the answer is that it will take them 20 weeks to have the same amount in savings.
Andre cycled a distance 25km in 150 minutes. What was his average speed (km/h)?
Answer:
10 km/h
Step-by-step explanation:
First, convert 150 minutes to hours:
150/60
= 2.5 hours
Then, to find his speed, divide the km by the number of hours:
25/2.5
= 10 km/h
Answer:
10 km / hr
Step-by-step explanation:
We want to find the average speed in kilometers per hour.
We know that Andre cycled 25 kilometers in 150 minutes.
First, we have the convert 150 minutes to hours.
There are 60 minutes in 1 hour, so we can divide 150 by 60.
150/60= 2.5
Next, find the average speed in kilometers per hour.
Divide the kilometers traveled by the hours.
speed = kilometers / hours
Andre cycled 25 kilometers in 2.5 hours.
speed= 25 km /2.5 hrs
speed = 10 km/hr
Andre’s average speed was 10 kilometers per hour.
what is 10 +10×2÷8+5
Answer:
just use a calculator next time 17.5
Step-by-step explanation:
its 17.5 my dude
Answer:
17.5
Step-by-step explanation:
PEMDAS
10 + 20 / 8 + 5
10 + 2.5 + 5
17.5
The smith want to fence their square garden which has an area of 289 square feet what would be the minimum amount of fencing needed to complete the project
Answer:
The minimum amount of fencing needed to complete the project = 68 feet
Step-by-step explanation:
The garden is a square
Let the sides of the square be L
area of square = L × L = L² = 289 square feet
L² = 289 sq ft
L = √(289
L = 17 feet
This means that each side of the garden has a dimension of 17 ft.
Ince a square has 4 equal sides, to calculate the minimum amount of fencing needed, we will find the total length of the 4 sides of the garden, which is the perimeter of the garden:
Perimeter of a square = 4 × L
= 4 × 17
= 68 feet
Therefore, minimum amount of fencing needed = 68 feet
Please help me i need help on this
A rectangle has a length of 14 meters and a width of 200 centimeters what is the area of the rectangle in meters?
Answer:
28
Step-by-step explanation:
200 cm = 2m
Area = length × Width
So..
Area = 14×2
= 28
Answer:
28 m
Step-by-step explanation:
1 m=100 cm
?=200 cm ...
200 cm=2m
area=lw
A=14 m*2 m
A=28 m
At work, you are calculating the cost of insulation for a customer. The customer would like to install his own insulation in an attic that is 12 yards by 18 yards. The insulation will cost $0.89 per square foot. To the nearest dollar, how much will it cost the customer to install the insulation
Answer:
insulation cost: $1730
Step-by-step explanation:
The area to be covered is 36 ft by 54 ft, so is ...
(36 ft)(54 ft) = 1944 ft^2
At a cost of $0.89 per square foot, the cost of the insulation is ...
(1944 ft^2)($0.89/ft^2) = $1730.16
To the nearest dollar the cost of the insulation will be $1730.
__
The cost of insulation is given. The question asks for the cost of installation. Not enough information is provided to answer that question.
The perimeter of a parallelogram is 56 meters. The width of the parallelogram is 8 meters less than its length. The length of the parallelogram is . The width of the parallelogram is . Find the length and the width of the parallelogram.
Answer: 8 Because i do math and got 8
Hurry please ???????????????????????????????????????? Algebra 2 for cr sem 1
Answer:
have you heard of mathpapa, i think you should try that, its gotten me through algebra. i wish i could help, good luck!!
Step-by-step explanation:
Find the value of x if C is the midpoint of AB and AC = 5x and BC = 10
Answer:
x = 2
Step-by-step explanation:
AC = BC
5x = 10
x = 2
A circle has a circumference of 100 yd. Find its area.
Answer:
Area = 794.23 yd²Step-by-step explanation:
In order to find the area of the circle we must first find it's radius using the circumference
Circumference of a circle = 2πr
where
r is the radius
From the question
Circumference = 100 yd
So we have
100 = 2πr
Divide both sides by 2π
We have
[tex]r = \frac{100}{2\pi} \\ = \frac{50}{\pi} \\ = 15.91549[/tex]
We have
radius = 15.9 yd
Since we've found the radius we can use it to find the area
Area of circle = πr²
Area = (15.9)²π
Area = 252.81
= 794.226
We have the final answer as
Area = 794.23 yd² to 2 decimal places
Hope this helps you
ABCD is a trapezium.
10 cm
A
B
7 cm
9 cm
D
С
15 cm
Calculate the area of ABCD.
Answer:
87.5
Step-by-step explanation:
J is between H and K. If HJ = 4t - 15, JK = 5t - 6, and KH = 15, find JK
Answer:
JK = 14
Step-by-step explanation:
Since, J is between H and K.
Therefore,
HJ + JK = KH
4t - 15 + 5t - 6 = 15
4t + 5t - 15 - 6 = 15
9t - 21 = 15
9t = 15 + 21
9t = 36
t = 36/9
t = 4
JK = 5t - 6 = 5*4 - 6 = 20 - 6 = 14
Which equation represents exponential decay?
A. y = 160 (31)1
B. y= (3.1)
C. y = 10(0.13)
D. y = 100(1.03)*
Answer:
the answer is C
Step-by-step explanation:
because of you multiply by the decimals that less than 1, the number will decrease.
If a and b are real numbers, then (a + b)2 = a2 + b2 Provide a counterexample for the statement.
a = 0 and b = 1
a = 1 and b = 0
a = 1 and b = 2
a = 0 and b = 0
Answer:
a = 1 and b = 2
Step-by-step explanation:
Input the counterexample into the formula.
(a + b)² = a² + b²
(1 + 2)² = 1² + 2²
(3)² = 1 + 4
9 ≠ 5
This proves that the statement is false.
Slope m = -5 y= intercept -4 What is the equation?
Answer:
[tex]\huge\boxed{y = -5x - 4}[/tex]
Write an equation in the format y = mx + b, or the slope-intercept formula, where:
m = slope
b = y-intercept
Plug in the values given:
y = (-5)x + (-4)
Simplify:
y = -5x - 4. This is the equation in slope-intercept form.
Answer: y=-5x-4
Step-by-step explanation:
Slope intercept form is y=mx+b
Since m represents slope you will plug in -5 because that is your slope.
Since b represents the y-intercept, you will plug in -4 after y=-5x
so therefore your equation is y=-5x-4
Tried my best to explain...
A sprinter runs 400 meters in 54 seconds. What is the runner’s average running rate in meters per second? (Round to the nearest tenth.)
Answer:
Step-by-step explanation:
400 meters/54 seconds = 7.407 meters per second. when rounded to the nearest 10th you would get 7.4
Answer - 7.4