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3 years ago

A right triangle has a hypotenuse of 25 feet and a leg of 7 feet. Which of these is the length of the other leg?

Mathematics

2 answers:

kondor19780726 [428]3 years ago

7 0

25^2=7^2 + x^2

x^2= 576
square both sides
x=24

neonofarm [45]3 years ago

5 0

25^2=7^2 + x^2
49 + x^2 = 625
x^2= 576
square both sides
x=24

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Which of the following expressions is equivalent to 14xy – 28x – 36y + 48? 2(7x – 6)(y – 2)(3y + 4) 2(7x – 6)(y – 2)(3y – 4) 2[7

Zolol [24]

The expression that is equivalent to 14xy – 28x – 36y + 48 is 2[7x(y-2)-6(3y-4)]

<h3>Factorizing expressions</h3>

Factorization is a way of separating the equations into two separate factors.

Given the expression below;

14xy – 28x – 36y + 48

Group

(14xy – 28x) – (36y + 48)

14x(y - 2) - 12(3y-4)

Factor out the value of 2 from both terms

2[7x(y-2)-6(3y-4)]

Hence the expression that is equivalent to 14xy – 28x – 36y + 48 is 2[7x(y-2)-6(3y-4)]

Learn more on factorization here: brainly.com/question/25829061

#SPJ1

7 0

2 years ago

Find the next three terms in the sequence 625, 250, 100, 40...

pentagon [3]

Hi!

To solve this, let's divide

625/250 = 2.5

So is the pattern.. x/2.5 = x2/2.5 = x3/2.5...

We can test this theory by multiplying

100 x 2.5 = 250

Since 250 comes before 100 in the sequence then our theory is correct!

So to find the next numbers, divide:

40/2.5 = 16
16/2.5 = 6.4
6.4 = 2.56

The answer is C.

Hope this helps! :)

6 0

3 years ago

Which table has a constant of proportionality between y and x of 12?

Nikolay [14]

Answer & Step-by-step explanation:

To find if they have a constant of proportionality of 12, use the following:

$\frac{y}{x}=12$

Divide y by the x value (x,y), and if the remaining equation is true, then that table has a constant of proportionality of 12.*

:Done

*Make sure you check all the values in a table. Sometimes only the first values will have k=12, while the others don't.

**The constant of proportionality is represented by <em>k</em>.

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3 years ago

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butalik [34]

Answer: $\mathrm{Slope\:of\:}y+3=x:\quad m=1$

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3 years ago

Find the volumes of the solids generated by revolving the triangle with vertices (2, 2), (2, 6), and (5, 6) about a) the x-a

Vesna [10]

About the $x$ -axis (washer method):

$\displaystyle\pi\int_2^5\left(6^2-\left(\frac43x-\frac23\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(20+x-x^2)\,\mathrm dx=\boxed{56\pi}$

About the $y$ -axis (shell method):

$\displaystyle2\pi\int_2^5x\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5x(5-x)\,\mathrm dx=\boxed{36\pi}$

About $x=7$ (shell method):

$\displaystyle2\pi\int_2^5(7-x)\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5(35-12x+x^2)\,\mathrm dx=\boxed{48\pi}$

About $y=2$ (washer method):

$\displaystyle\pi\int_2^5\left((6-2)^2-\left(\frac43x-\frac23-2\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(5+4x-x^2)\,\mathrm dx=\boxed{32\pi}$

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4 years ago