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nydimaria [60]
3 years ago
7

In the figure below, what is the area of triangle ABC?

Mathematics
1 answer:
Serhud [2]3 years ago
5 0
The area of a triangle is base * height / 2

The length of the base is 16 - 12 = 4

The height is 31 - 0 =0

Then the area is 4*31/2 = 62
You might be interested in
given sin theta = -3/5 and csc theta -5/3 in quadrant 3, find the value of other trigonometric functions using a Pythagorean Ide
tiny-mole [99]

Answer:

cos theta = -4/5.

sec theta = -5/4.

tan theta = 3/4.

cot theta = 4/3.

Step-by-step explanation:

sin^2 theta + cos^2 theta = 1

(-3/5)^2 + cos^2 theta = 1

cos^2 theta = 1 - 9/25

cos^2 theta = 16/25

cos theta = -4/5 (negative because  it is in Quadrant 3).

sec theta = 1 / cos theta = -5/4.

tan theta = sin theta / cos theta = -3/5 / - 4/5

= -3/5 * -5/4

=  3/4.

cot theta  =  1 / tan theta = 4/3.

5 0
4 years ago
Find the length of the altitude to the hypotenuse. round the answer to the nearest tenth, if needed.
Amiraneli [1.4K]

Answer : The correct option is, (B) 56.8

Step-by-step explanation :

Right Triangle Altitude Theorem:

The measure of altitude drawn from the vertex of the right angle of a right angled triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.

We are drawing a line from vertex to hypotenuse side.

As per theorem:

\frac{BD}{AB}=\frac{CB}{AC}

\frac{BD}{60}=\frac{175}{185}

BD=\frac{175\times 60}{185}

BD=56.8

Therefore, the length of the altitude to the hypotenuse is 56.8

8 0
3 years ago
Which of these statements is true for f(x) = 5.6)^x?
ollegr [7]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
A factory produces candles at a rate of 1500 per hour. They know that 1.5% of the candles must be rejected for damage.
katen-ka-za [31]

Answer:

225

Step-by-step explanation:

1.5% of 1500 is 225

8 0
4 years ago
The height of a painting is √30 ft. Between which two consecutive whole numbers is √30? 7 and 8 6 and 7 4 and 5 5 and 6
sergij07 [2.7K]

Answer

5 and 6

Step-by-step explanation:

First | Find the square root of √30 (Put it in the calculator)

Answer | 5.47722557505...

Second | Round the number to the tenths

Anwer | 5.5 (ect the number in the hundreths place is greater than 5 so you bump up the 4 by 1 so 5.4 to 5.5)

Third | Get a line and see where 5.5 belongs it cant be 4 and 5 since the answer will need to be 4 or 5.0

Concusion | Here are the steps to find the answer hope this helped!

8 0
3 years ago
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