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1 year ago

Question 14 of 25

Mathematics

1 answer:

Vlad1618 [11]1 year ago

8 0

The answer is B, Hope this helps ! :)

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In ΔFGH, the measure of ∠H=90°, the measure of ∠G=75°, and FG = 24 feet. Find the length of HF to the nearest tenth of a foot.

chubhunter [2.5K]

Answer:

HF ≈ 23.2 ft

Step-by-step explanation:

Using the sine ratio in the right triangle.

sin75° = $\frac{opposite}{hypotenuse}$ = $\frac{HF}{FG}$ = $\frac{HF}{24}$

Multiply both sides by 24

24 × sin75° = HF , thus

HF ≈ 23.2 ft ( to the nearest tenth )

4 0

3 years ago

The table shows the value of an account x years after the account was opened. Based on the exponential regression model, which i

lana66690 [7]

Answer:

Correct choice is B

Step-by-step explanation:

The exponential regression model can be written as exponential function

$y=a\cdot b^x.$

Then

$5,000=a\cdot b^0=a,\\ \\5,510=a\cdot b^2\Rightarrow 5,510=5,000\cdot b^2,\\ \\b^2=\dfrac{5,510}{5,000}=\dfrac{551}{500}\Rightarrow b\approx 1.05.$

Thus,

$y=5,000\cdot (1.05)^x.$

When $x=12,$ you get

$y(12)=5,000\cdot (1.05)^{12}\approx \$8,980.$

6 0

4 years ago

Read 2 more answers

Plss help, i’ll mark brain! it’s due soon

zzz [600]

Answer:

B hope it helps

6 0

3 years ago

Find the exact value of the expression. Do not use a calculator. If tan θ = 9, find the exact value of cot θ

adelina 88 [10]

$\bf tan(\theta )=9\implies tan(\theta )=\cfrac{\stackrel{opposite}{9}}{\stackrel{adjacent}{1}}\impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}$

$\bf c=\sqrt{1^2+9^2}\implies c=\sqrt{82} \\\\[-0.35em] ~\dotfill\\\\ cos(\theta )=\cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{\sqrt{82}}}\implies \stackrel{\textit{rationalizing the denominator}}{cos(\theta )=\cfrac{1}{\sqrt{82}}\cdot \cfrac{\sqrt{82}}{\sqrt{82}}}\implies cos(\theta )=\cfrac{\sqrt{82}}{82}$

3 0

3 years ago

The City Sights tour company had the same ratio of tourists to guide on both days this weekend.On Saturday,there were 120 touris

vivado [14]

Answer: There were 6 guides on Sunday.

Step-by-step explanation:

I suppose that this is a question about equivalent ratios:

It is said that the company had the same ratio of tourists to guides on Saturday and Sunday.

RATIO OF TOURISTS TO GUIDES:

SATURDAY: 120 : 18

SUNDAY: 40 : ?

Divide 120 by 40:

120/40 = 3

Divide 18 by 3:

18/3 = 6

Therefore:

SAT: 120 : 18

SUN: 40 : 6

Check it by multiplying both numbers in the ratio 40 : 6 by 3:

40 • 3 : 6 • 3

= 120 : 18

(You get the ratio from Saturday)

Hope this helps!

8 0

3 years ago