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2 years ago

Topic 3 Assessment (Percent)

Mathematics

1 answer:

yuradex [85]2 years ago

5 0

Answer:

44%

Step-by-step explanation:

60%-16% the answer is up ahead.

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John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21 About how far does

Agata [3.3K]

Answer:

John ski down the mountain is 1285.37 feet.

Step-by-step explanation:

Given : John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21.

To find : About how far does John ski down the mountain ?

Solution :

We draw a rough image of the question for easier understanding.

Refer the attached figure below.

According to question,

Let AB be the height of mountain i.e. AB=1200 feet

The angle of depression is 21 i.e. $\theta=21^\circ$

We have to find how far does John ski down the mountain i.e. AC = ?

Using trigonometric,

$\cos\theta = \frac{AB}{AC}$

$\cos(21)= \frac{1200}{AC}$

$AC=\frac{1200}{\cos(21)}$

$AC=1285.37$

Therefore, John ski down the mountain is 1285.37 feet.

7 0

2 years ago

2. Mr. Abdulla has 160 cows, goats, horses, and chickens on his farm. 19% of the animals are cows, 28% are goats, 13% are horses

siniylev [52]

Step-by-step explanation:

28 + 19 + 13 equal 60%

therefore 40% divided by 60% multiply by 160 gives number of chicks

6 0

2 years ago

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

7 0

3 years ago

Rick bought 3 shirts for $18 each, 2 pairs of socks for $3.99 a pair, and a pair of pants for $45.00. The sales tax

Andrews [41]

Answer:

Step-by-step explanation:

(3(18)+2(3.99)+45)(1.08)=(106.98)(1.08)=$115.54 (rounded to nearest cent)

7 0

2 years ago

Dot patterns can illustrate the Distributive Property. Write a number sentence suggested by the dot patterns below.

kramer

Answer:

what are the answers or is it a paragrah you have to write

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers