8. You throw a ball downward 40 feet per second from a building
that is 256 feet above the ground. How long will it take
the ball to hit the ground?

Given:

In triangle DEF, HG is parallel to DF.

To find:

The value of x.

Solution:

In triangles DEF and GEH,

[tex]\angle DE F\cong \angle GEH[/tex]          (Common angle)

[tex]\angle EDF\cong \angle EGH[/tex]          (Corresponding angle)

[tex]\Delta DE F\sim \Delta GEH[/tex]             (By AA property of similarity)

We know that corresponding sides of similar triangle are proportional.

[tex]\dfrac{DE}{GE}=\dfrac{DF}{GH}[/tex]

[tex]\dfrac{9+(x+5)}{x+5}=\dfrac{12}{6}[/tex]

[tex]\dfrac{x+14}{x+5}=2[/tex]

[tex]x+14=2(x+5)[/tex]

[tex]x+14=2x+10[/tex]

Isolating variable terms, we get

[tex]x-2x=-14+10[/tex]

[tex]-x=-4[/tex]

[tex]x=4[/tex]

Therefore, the value of x is equal to 4.

Answer:

64 π ( c m ) ^2

Step-by-step explanation:

Answer:

B. (–1, –1)

C. (0, 2)

E. (1, –2)

Step-by-step explanation:

plugged in the answers into (x) and (y)

The points (0, 0), (-1, -1), and (1,-2) inside the conic inequality option (B), (C), and (E) are correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Conic inequality:

8x² – 12x + 4y² + 4y – 20 ≤ 0

After plotting the above inequality on a coordinate plane we will get an ellipse:

From the graph:

The points:

(0, 0), (-1, -1), and (1,-2) inside the conic inequality.

Thus, the points (0, 0), (-1, -1), and (1,-2) inside the conic inequality option (B), (C), and (E) are correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ5

Answer:

It's either 3 Triangles

, 4 Triangles

, 5 Triangles

, or 6 Triangles

Step-by-step explanation:

Considering how many answers there are, there's a 1/4 chance for it to be any. Concluding by that it's either 3 Triangles

, 4 Triangles

, 5 Triangles

, or 6 Triangles

Answer:

The correct amount of force i believe is

f= 40 newton

i got the answer by using the formula below

force = mass x acceleration

f=5kg *8.0 m/s^2

Step-by-step explanation:

Answer:

hello your question is not well written hence i will give you a more general answer assuming a  region that is enclosed by curves y = x and y = x^3

answer : 8/21

Step-by-step explanation:

y =x , y = x^3

next determine the intersection point which is

x = x^3

x( x^2 - 1 ) = 0

therefore ; x = 0 , 1 , -1

attached below is a detailed solution

Answer:

0.5

Step-by-step explanation:

11 / 21 = 0.5238

0.5238

* If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Therefore it's 0.5238 = 0.5

0.5 is the decimal number nearest to tenth of 11/21.

A number system is defined as a system of writing to express numbers.

Given,

11/21

Eleven divided by twenty one.

0.5238

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

0.5 is the decimal number nearest to tenth.

Hence, 0.5 is the decimal number nearest to tenth of 11/21.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ5

Answer:

linear monomial

Step-by-step explanation:

Step-by-step explanation:

Given

Slope (m1) = 4

As it is said that the lines are perpendicular so we have

m1 * m2 = - 1

4 * m2 = - 1

m2 = - 1/4

The slope of the line perpendicular to line m is

- 1/4

Hope it will help :)❤

Answer:

The slope of the perpendicular line is -1/4

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

Let the slope of the perpendicular line have sloe p

m*p = -1

4 * p = -1

Divide each side by 4

p = -1/4

The slope of the perpendicular line is -1/4

Answer:

D

Step-by-step explanation

I think its D

B - Colored in, arrow to the left

Answer:

-2,-3

Step-by-step explanation:

multiply the x coordinate and the y coordinate by -1 and interchange the x and y-coordinates

Answer:

Barb evaluated correctly

Answer:

Barb is the correct expression

Answer:

x>-9F

Step-by-step explanation:

x is all possible temperatures greater than -9F

Answer:

Answer is 239,800.

Answer:

tenths place

Step-by-step explanation:

The 6 is in the tenths place, according to this chart.

Answer:

12 large books

Step-by-step explanation:

Answer:

I think its D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Hello There!

So the sum of the cakes (y) and cookies (x) is 64

so x + y = 64

It says that the amount of cookies he sold was 4 less then 3 times the number of cakes he sold

x = cookies

y = cakes

he sold 3 times the amount of cakes (y) - 4

so x=3y-4

So we can conclude that the answer would be D

~TheMathWiz

Answer:

4 eggs per cup

Step-by-step explanation:

Answer:

Its the third option

Answer:

a. 38.5

Step-by-step explanation:

The triangles are similar. That means that the ratios are the same.

x/14 = 11/4

x/31.5 = 11/9

Let's use the top one

x/14 = 11/4

4x/14 = 11

4x = 154

x = 38.5

Answer:

Step-by-step explanation:

f(x) = -x² - 14

f(9) = -9² -14 = -81-14 = -95

Answer:

slope intercept form is the form of y=mx+b, where the slope is m and the y intercept is b.

what you have to do is to solve the equations for y.

1) 2x+2y = 10

  2y = 10 -2x

    y = -x +5

2) 12+4y = -4x

    4y = -4x-12

       y = -x -3

lines are parallel when they have same slope and different y-intercepts. m1=m2 and b1 ≠ b2

lines are perpendicular when the multiplication of their slope gives -1

m1 x m2 = -1

here the slopes are same and y-intercepts are different so lines are parallel.

Step-by-step explanation:

a = 180-117 = 63

180- (81+63) = 36

Answer:

x≥ -5

Step-by-step explanation:

Answer:

A. The height of the water increases 2 inches per minute.

Answer:

50.24

Step-by-step explanation:

A= pi r^2

A= 3.14 * 4^2

A= 3.14 * 16

A= 50.24