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3 years ago

Can I get an answer and a how to solve this??

Mathematics

1 answer:

devlian [24]3 years ago

7 0

Answer:

Step-by-step explanation:

The ratios of corresponding sides are equal, that is

$\frac{BD}{CD}$ = $\frac{AD}{BD}$

Substitute values

$\frac{h}{16}$ = $\frac{9}{h}$ ( cross- multiply )

h² = 16 × 9 = 144 ( take the square root of both sides )

h = $\sqrt{144}$ = 12 → D

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Please help does anyone know this

Mumz [18]

You Can Make A Foto In The App And Then the app Solve the problem Then you got your answer

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3 years ago

What's -4/9 x 5/8 <br> Has to be in fraction and simplified

MissTica

-4/9 x 5/8 = -20/72 or -5/18

3 0

4 years ago

Read 2 more answers

A car used 15 gallons of gasoline when driven 315 miles. Based on this information, which expression should be used to determine

JulijaS [17]

Given trhat a car used 15 gallons of gasoline to cover 315 miles.

The expression that will be used to determine the unit rate of miles per gallon of gasoline is:

$\frac{315\text{ miles}}{15\text{ gallons}}$

ANSWER:

$\frac{315\text{ miles}}{15\text{ gallons}}$

8 0

2 years ago

Lorena is investing a $5000 inheritance from her aunt in a certificate of deposit that matures in 4 years. The interest rate is

Elina [12.6K]

Answer:

$6407.73

Step-by-step explanation:

Use the compound amount formula: A = P(1 + r/n)^(n*t), where

P is the original amount (the principal), r is the interest rate as a decimal fraction, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, P = $5000, r = 0.0625, n = 4 and t = 4. Thus,

A = $5000(1 + 0.0625/4)^(4*4), or

A = $5000(1.015625)^16 = $5000(1.2815) = $6407.73 (to the nearest cent)

6 0

4 years ago

1.) The trig ratio needed to solve the problem and how that it is the correct trig function.

Ipatiy [6.2K]

In every right triangle, you have the following identites:

$o = h\sin(\alpha),\quad a = h\cos(\alpha)$

Where $\alpha$ is one of the acute angles, $o$ is the leg opposite to the angle, $a$ is the leg adjacent to the angle and $a$ is the hypothenuse.

In this case, we know that the adjacent leg is 100ft long, so we can use the second formula to compute the hypothenuse:

$100 = h\cos(37) \implies h = \dfrac{100}{\cos(37)}$

Now let's use the first equation to compute the length of the opposite leg, i.e. the one you're interested in:

$o = h\sin(\alpha) = \dfrac{100}{\cos(37)}\sin(37)$

Note that the ratio between the sine and the cosine is the tangent:

$o = 100\tan(37)$

If you ask for the tangent of 37 to a calculator, you get

$\tan(37) \approx 0.753554050\ldots$

So, you have

$100\tan(37) \approx 75.3554050\ldots$

Which rounded to the nearest tenth is 75.36

4 0

3 years ago