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3 years ago

Urgent please help no trolls!!!

Mathematics

1 answer:

Natasha2012 [34]3 years ago

8 0

Answer:

meow im a dog

Step-by-step explanation:

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lighting if a 25-foot-tall house cast a 75-foot shadow at the same time that a streetlight casts a 60-foot shadow how tall is th

jolli1 [7]

Answer:

The street light is 20 feet tall.

Step-by-step explanation:

This question depends on a proportion. Keep your height of the object in one ratio and the length of the shadow in the other.

25/x = 75/60 Notice the height of the structure is on the left. The length of the shadow is on the right. Cross multiply

75x = 60 * 25 Combine the right

75x = 1500 Divide by 75

x = 1500/75

x = 20

The street light is 20 feet tall.

3 0

2 years ago

If a/b < c/d with b > 0, d > 0, prove that a+c / b+d lies between the two fractions a/b and c/d .

Tems11 [23]

Divide through everything by b :

$\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}$

Since a/b < c/d, it follows that

$\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}$

Multiply through everything on the right side by b/d to get

$\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd$

and so (a + c)/(b + d) < c/d.

For the other side, you can do something similar and divide through everything by d :

$\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}$

and a/b < c/d tells us that

$\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}$

Then

$\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab$

and so (a + c)/(b + d) > a/b.

Then together we get the desired inequality.

5 0

3 years ago

Line $\ell_1$ is horizontal and passes through $(1,1)$. Line $\ell_2$ is vertical and passes through $(2,2)$. Find the point of

borishaifa [10]

Answer:

(2,1)

Step by step explanation:

Please find the attachment.

We have been given that line $l_1$ is horizontal and passes through point (1,1). Line $l_2$ is vertical and passes through point (2,2). We are asked to find point of intersection of line $l_1$ and line $l_2$ .

Line $l_1$ is a horizontal line so y-coordinate will be 1 for any value of x. Line $l_2$ is a vertical line, so x-coordinate will be 2 for any value of y.

Therefore, intersection point of both lines will include x-coordinate of line $l_2$ and y-coordinate of line $l_1$ that is (2,1).

5 0

3 years ago

Please help out explanation need it

prisoha [69]

Answer:

A=2(wl+hl+hw)

A=2(6ft×7ft+6ft×7ft+6ft×6ft)

A=2(42ft²+42ft²+36ft²)

A=2(120ft²)

A=240ft²

Step-by-step explanation:

8 0

3 years ago

60 points Need help Asap

Anna [14]

Answer:

45 units ^2

Step-by-step explanation:

make sure to divide the triangle and sqaure up when finding the area of this polygon..

hope this helps!!

8 0

3 years ago