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2 years ago

The two triangles are similar. Find the values of the unknown variables.

Mathematics

1 answer:

cluponka [151]2 years ago

8 0

Answer:

x=84

y=59

Step-by-step explanation:

if the triangles are similar than the angles don't change so and y is equal to 59.

to find the missing side we do 40/30 x 63 and we get that x=84

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Solve the system by graphing. {-2x=2y-4, 2x-y=-5

Phantasy [73]

x=(2y-4)/-2

x=-y+2

2(-y+2)-y=-5

-2y+4-y=-5

-3y+4=-5

-3y=-9

y=3

x=-y+2

x=-3+2

x=-1

5 0

3 years ago

Mr. Chen writes the expression 4 ×

telo118 [61]

Answer:

4*(7-2)2÷10

=4*5*1/5

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Step-by-step explanation:

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3 years ago

In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equati

Novay_Z [31]

Answer:

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

Step-by-step explanation:

we have

$h=-16t^2+55t+4$

This is a vertical parabola open downward

The vertex represent a maximum

where

h is the height of the bird

t is the amount of time, in seconds, the bird had been in the air

For h=40 ft

substitute in the quadratic equation

$40=-16t^2+55t+4$

$-16t^2+55t+4-40=0$

$-16t^2+55t-36=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+55t-36=0$

$a=-16\\b=55\\c=-36$

substitute in the formula

$x=\frac{-55\pm\sqrt{55^{2}-4(-16)(-36)}} {2(-16)}$

$x=\frac{-55\pm\sqrt{721}} {-32}$

$x=\frac{-55+\sqrt{721}} {-32}=0.88\ sec$

$x=\frac{-55-\sqrt{721}} {-32}=2.56\ sec$

therefore

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

3 0

3 years ago

A little girl kicks a soccer ball. It goes 10 feet and comes back to her. How is this possible?

Elanso [62]

She is standing in front of a wall which is 10 feet away when she kicks the ball and it hits the wall and comes back to her by the virtue of Newton's third Law of motion! She kicks the ball into the air vertically above her and the ball rises to 10 feet and then comes back to her by the virtue of gravity!

8 0

2 years ago

20 ptsss what is 35 to the 10th power

marysya [2.9K]

Answer:

35^10 = 2,758,547,353,515,625

Step-by-step explanation:

35^10 = 2,758,547,353,515,625

It takes a calculator that will display 16 digits in order to see the value of this number exactly. Some spreadsheet programs my compute this for you.

6 0

3 years ago

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