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lubasha [3.4K]
2 years ago
10

Convert the following fraction to a decimal.

Mathematics
1 answer:
Nookie1986 [14]2 years ago
6 0
I think it’s C but I could be wrong but I don’t think I am
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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
3 years ago
Which triangle would be most helpful in finding the distance between the points (-4, 3) and (1,-2) on the coordinate
earnstyle [38]

Answer:

On a coordinate plane, a triangle has points (negative 4, 3), (negative 4, negative 2), (1, negative 2).

Step-by-step explanation:

The points (-4,3), (1,2) and (-4, -2) would form a right triangle when graphed and connected by lines.

(-4,3), (1,2) and (1,3) would also work as well

5 0
1 year ago
NEED HELP ASAP!!! ALGEBRA 1 STUFF (20pts.)
3241004551 [841]
It's not actually 20 pts it's 10 pts if you send a question and you want 20 pts off it would be 10 for other ppl. like 

10pts off = 5
20pts off = 10
30pts off = 15

and so on so it's like counting by 5's each time you lose points

4 0
3 years ago
If DEF measures 32 inches, EF = 2x - 10 and DE= 4x find x and the measure of each segment.
azamat

Add EF and DE together to equal 32

2x-10 + 4x = 32

Combine like terms;

6x-10 = 32

Add 10 to each side:

6x = 42

Divide both sides by 6:

x = 42/6

X = 7

EF = 2x-10 = 2(7)-10 = 14-10 = 4

DE = 4x = 4(7) = 28

5 0
3 years ago
Identify the "inside function" u = f(x) and the "outside function" y = g(u). Then find dy/dx using the Chain Rule.
skad [1K]
DfLet f(x)=\sec x and g(x)=\sqrt x. Then

y=\sec\sqrt x=\sec(g(x))=f(g(x))=f\circ g(x)

By the chain rule,

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}

where u=g(x)=\sqrt x, so that y=f(g(x))=f(u)=\sec u. We have

\dfrac{\mathrm du}{\mathrm dx}=\dfrac1{2\sqrt x}
\dfrac{\mathrm d\sec u}{\mathrm du}=\sec u\tan u

and so

\dfrac{\mathrm dy}{\mathrm dx}=\sec u\tan u\dfrac{\mathrm dy}{\mathrm du}=\dfrac{\sec\sqrt x\,\tan\sqrt x}{2\sqrt x}
5 0
3 years ago
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