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Fofino [41]
4 years ago
8

What is the area of the triangle?

Mathematics
1 answer:
Strike441 [17]4 years ago
3 0

Answer:

24

Step-by-step explanation:

base (b) = 8

height (h) = 6

A = bh/2

= 8x6/2

= 48/2

= 24

Therefore the area is 24 square units

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A car is approaching a building. When it is 300 ft away, the angle of depression from the top of the building to the car is 42°.
labwork [276]

Answer: 333.2ft

Step-by-step explanation:

We can draw a triangle rectangle, where the distance between the base of the building and the car is one cathetus (300ft)

The height of the building is the other cathetus.

Now, we know that the angle of depression from the top of the building to the car is 42°

This angle is measured from a perpendicular line in from the building, so the "top angle" of the triangle rectangle will be:

90° - 42° = 48°

if we steep on this angle, the 300ft cathetus is the opposite cathetus and the height of the building is the adjacent cathetus.

Here we can use the relation:

Tan(A) = Opposite cathetus/adjacent cathetus:

Then:

Tan(48°) = H/300ft

Tan(48°)*300ft = H = 333.2ft

7 0
3 years ago
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Kelly wants to buy a dress that costs $40.00. She has a coupon for 25% off, and
Sophie [7]

A percentage is a way to describe a part of a whole. The amount that Kelly will pay for the dress is $33.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given Kelly wants to buy a dress that costs $40.00. She has a coupon for 25% off, and there is a 10% sales tax. Therefore, the amount she will pay is,

25% of $40.00 is,

0.25 × $40 = $10

After using the coupon, the sale price is,

$40 - $10 = $30

The 10% tax on the sale price is,

0.10 × $30 = $3

The final price is $

$30 + $3 = $33

Hence, the amount that Kelly will pay for the dress is $33.

Learn more about Percentages:

brainly.com/question/6972121

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3 0
2 years ago
I need this as soon as possible
GaryK [48]

Answer:

123.94

Step-by-step explanation:

8 0
3 years ago
Factorise this equation -5ab+10b​
Effectus [21]

Answer:

5b(-a+2)

Step-by-step explanation:

4 0
3 years ago
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What is the inverse of y=pi/2+sin x​
Alekssandra [29.7K]

Answer:

f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})

Step-by-step explanation:

The given function is

y=\frac{\pi}{2}+\sin x

To find the inverse of this function, we interchange x and y.

x=\frac{\pi}{2}+\sin y

we now solve for y.

x-\frac{\pi}{2}=\sin y

Take the sine inverse of both sides to obtain;

\sin ^{-1}(x-\frac{\pi}{2})=y

Hence the inverse of the given function is;

f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})

where \frac{\pi}{2}-1\le x\le \frac{\pi}{2}+1

6 0
3 years ago
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