All categories

3 years ago

A plane intersects the triangular prism below through points A, B, and C.

Mathematics

1 answer:

uranmaximum [27]3 years ago

8 0

Answer:

triangle

Step-by-step explanation:

You might be interested in

Solve the right triangle

defon

I recommend learning the mnemonic SOHCAHTOA (it's very fun to say!)
Here is what SOHCAHTOA represents.

Sin - Opposite / Hypotenuse (SOH)
Cos - Adjacent / Hypotenuse (CAH)
Tan - Opposite / Adjacent (TOA)

The sine of an angle is the length of the side opposite of the angle divided by the length of the hypotenuse.

Thus, the length of the side opposite of the angle divided by the sine will give us the length of the hypotenuse.

The angle is 46 degrees. The length of the side opposite of the angle is 14. The hypotenuse is c.

$c= \dfrac{14}{\sin{46^o}}$

$\approx 19.46$

The tangent of an angle is the length of the side opposite of the angle divided by the length of the side adjacent to the angle.

Thus, the length of the side opposite to the angle divided by the tangent of the angle will give us the length of the other leg.

The length of the side opposite to the angle is 14. The angle is 46. The unknown length of the side adjacent to the angle is b.

$b=\dfrac{14}{\tan{46^o}}$

$\approx 13.52$

This should be what you are looking for. Enjoy!

6 0

3 years ago

Solve the triangle.

saw5 [17]

Answer:

Step-by-step explanation:

because <u>c</u> is shorter than<u> a</u> we know C is a smaller angle than A

so the first choice is out.

use the law of cosines to find b

$b^{2}$ = $a^{2} +c^{2} -2*a*c*cos(B)$

$b^{2}$ =1681+400-1326.787871

$b^{2}$ = 754.21219

b= $\sqrt{754.21219}$

b= 27.46292

so the last choice looks good

5 0

3 years ago

A barrel filled with oil is a cylinder with a diameter of 22 inches and a height of 33.5 inches. There are 231 cubic inches in a

ss7ja [257]

C. 55 gallons because the formula for cylinder volume is V=pi•radius^2•height. So plug in the given values like in the pic below and then divide that by 231 to find the gallons

3 0

3 years ago

Describe a real world situauationthat could be modled by dividing two rational numbers

Dima020 [189]

You have 10 slices of cake, you and your friends Jerry, George, Martha, and Jenny ( just an example ) eat 2 slices of cake.
A more real life one would be:
You have 6 bills to pay off, then two more come in, you only pay off 4,
( I hope this helped, I'm sorry if any of this is wrong:) )

7 0

3 years ago

The length of a light wave is approximately 0.0000037. Write in scientific notation.

tankabanditka [31]

The length of a light wave is 3.7 x 10^-6 in scientific notation

7 0

3 years ago

Read 2 more answers