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3 years ago

If the hypotenuse of a right triangle is 20 cm and one of the legs is 16 cm, how long is the other leg?

1 answer:

6 0

Because this is a triangle and we know that we can use the Pythagorean Theorem to find the hypotenuse we just plug in the numbers. But because you have the hypotenuse already you will subtract the leg from the hypotenuse.

A^2+B^2=C^
16^2+B^2=20^2
256+B^2=400 subtract 256 from both sides
B^2=144 now take the square root of both sides
B=12

The second leg is 12 cm long. Your answer is B, the second answer.

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Water is steadily dripping from a faucet into a bowl. You want to write an equation that represents the number of milliliters y

pav-90 [236]

9514 1404 393

Answer:

k = 16
y = 16x

Step-by-step explanation:

y is proportional to x when it satisfies the equation ...

y = kx

where k is the constant of proportionality. The equation can be solved for k by dividing by x:

k = y/x

The value of k for the given relation is ...

k = (320 mL)/(20 s)

k = 16 mL/s . . . the constant of proportionality

Then the equation is ...

y = 16x

7 0

4 years ago

1/5 (4-3x) = 1/7 (3x - 4) pls solve

natulia [17]

$\huge \boxed{\mathfrak{Question} \downarrow}$

$\large\sf\frac{1}{5} (4 - 3x) = \frac{1}{7} (3x - 4) \\$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\frac{1}{5} (4 - 3x) = \frac{1}{7} (3x - 4) \\$

Use the distributive property to multiply 1/5 by 4-3x.

$\frac{1}{5}\times 4+\frac{1}{5}\left(-3\right)x=\frac{1}{7}\left(3x-4\right) \\$

Multiply 1/5 and 4 to get 4/5.

$\frac{4}{5}+\frac{1}{5}\left(-3\right)x=\frac{1}{7}\left(3x-4\right) \\$

Multiply 1/5 and -3 to get -3/5.

$\frac{4}{5}+\frac{-3}{5}x=\frac{1}{7}\left(3x-4\right) \\$

Use the distributive property to multiply 1/7 by 3x-4.

$\frac{4}{5}-\frac{3}{5}x=\frac{1}{7}\times 3x+\frac{1}{7}\left(-4\right) \\$

Multiply 1/7 and 3 to get 3/7 & 1/7 × -4 to get -4/7.

$\frac{4}{5}-\frac{3}{5}x=\frac{3}{7}x-\frac{4}{7} \\$

Subtract $\frac{3}{7}x\\$ from both sides.

$\frac{4}{5}-\frac{3}{5}x-\frac{3}{7}x=-\frac{4}{7} \\$

Combine $-\frac{3}{5}x\\$ and $-\frac{3}{7}x\\$ to get $-\frac{36}{35}x\\$ .

$\frac{4}{5}-\frac{36}{35}x=-\frac{4}{7} \\$

Subtract 4/5 from both sides.

$-\frac{36}{35}x=-\frac{4}{7}-\frac{4}{5} \\$

The least common multiple of 7 and 5 is 35. Convert -4/7 and 4/5 to fractions with denominator 35.

$-\frac{36}{35}x=-\frac{20}{35}-\frac{28}{35} \\$

Because $-\frac{20}{35} \\$ and $\frac{28}{35}\\$ have the same denominator, subtract them by subtracting their numerators.

$-\frac{36}{35}x=\frac{-20-28}{35} \\$

Subtract 28 from -20 to get -48.

$-\frac{36}{35}x=-\frac{48}{35} \\$

Multiply both sides by $-\frac{35}{36}\\$ , the reciprocal of $-\frac{36}{35}\\$ .

$x=-\frac{48}{35}\left(-\frac{35}{36}\right) \\$

Multiply $-\frac{48}{35}\\$ by $-\frac{35}{36}\\$ by multiplying the numerator by the numerator and the denominator by the denominator.

$x=\frac{-48\left(-35\right)}{35\times 36} \\$

Carry out the multiplications in the fraction $\frac{-48\left(-35\right)}{35\times 36}\\$ .

$x=\frac{1680}{1260} \\$

Reduce the fraction 1680/1260 to its lowest terms by extracting and cancelling out 420.

$\huge \boxed{ \boxed{ \bf \: x=\frac{4}{3} \approx \: 1.33}}$

3 0

3 years ago

Read 2 more answers

What is the x intercept of the graph shown below

tamaranim1 [39]

Answer:

( 3,0) .

Step-by-step explanation:

Given : Graph .

To find : What is the x intercept of the graph shown below.

Solution : We have given Graph .

X - intercept : is that point on x axis at which y = 0.

We can see from the given graph on x axis where y = 0 .

At x = 3 , y= 0

So , x - intercept is 3

Therefore, ( 3,0) .

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3 years ago

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Simplify<br> (5ab^2-4ab 7a^2b) (ab )^-1

algol13

$(5ab^2-4ab+7a^2b) (ab )^{-1 }=(5ab^2-4ab+7a^2b) a^{-1}b^{-1}\\\\=\boxed{5b-4+7a}$

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4 years ago

Mackenzie's company reimburses her $0.75 per mile that she drives for business. If she goes on a business trip and drives a tota

lesantik [10]

Answer:90

Step-by-step explanation:

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3 years ago