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3 years ago

The length of the hypotenuse of a 30 -60 -90 triangle is 16. What is the perimeter?

1 answer:

3 0

For a Right triangle with 30-60-90 degrees, the sides have specific ratios. If we assign a length of 1 to the short side (opposite 30), the hypotenuse will be 2, and the other leg will be square root 3.

Given that the hypotenuse is 16 in this triangle, we will need to multiply each of our ratios given above by 8 (16/2)

So, the short side is 8, the hypotenuse is 16 and the last leg is 8(square root 3). Adding these three sides we get

8 + 16 + 8 sqrt(3)
24 + 8 sqrt(3)

The answer is B

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(5y - 1) + (-2y + 4)

Rashid [163]

(5y - 1) + (-2y + 4)

5y -5 -2y +4 =

3y -1

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3 years ago

Read 2 more answers

A group of 10 students participate in chess club, karate club, or neither.

Ira Lisetskai [31]

Answer: Option B

$P(A|B)=0.50$

Step-by-step explanation:

We look for the conditional probability of A given B.

This is written as:

$P(A|B) = \frac{P(A\ and\ B)}{P(B)}$

First we must find the probability of A and B

There are 10 students in total. Note that of those 10 students only 2 of them are at the same time in the karate club and in the chess club

Therefore:

$P(A\ and\ B)=\frac{2}{10}$

There are 10 students in total. Note that of those 10 students only 4 of them are in the chess club

Then:

$P(B)=\frac{4}{10}$

Finally:

$P(A|B) = \frac{P(0.2)}{0.4}=0.50$

5 0

4 years ago

A shopkeeper marks the price of an calculator at 25% above cost price. He then allows a discount of 15% of the marked price and

Amanda [17]

Answer:

Rs. 18000

Step-by-step explanation:

$x(1 + 25\%) \: (1 - 15\%) - x = 900$

$1.0625x - x = 900$

$0.0625x = 900$

$x = 14400$

•••••

$14400 \times (1 + 25\%)$

$\: \: \: \: \: \: \: \: = 14400 \times 1.25$

$\: \: \: \: \: \: \: \: =Rs. 18000$

The marked price of a calculator is $\boxed{\green{Rs. 18000}}$

6 0

3 years ago

4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received.

ruslelena [56]

It’s c i just took that

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2 years ago

Krispy kritters cereal used to come in a box with a volume of 2,850 cm3. However, the krispy kritters co. Designed a new larger

Stolb23 [73]

Answer:

1335cm³

Step-by-step explanation:

According to the question above,Krispy kritters cereal used to come in a box with a volume of 2,850 cm3. However, the krispy kritters co. Designed a new larger box 22.5 cm wide, 6.2 cm deep, and 30 cm high and we are now asked to find "How many more cubic centimeters will the new box hold than the old box?

Now we are all aware that the volume of a cube or cuboid(since its a box ) is length multipled by width multiplied by the height.

And we were given the new dimensions which are;

12.5cm wide

6.2cm deep and

30cm high

Apply this given figures in the formula above and we have:

V = 12.5 × 6.2 × 30

= 4185cm³( this is the volume of the new box designed by krispy kritters co for their cereal)

Therefore,the difference in volume between the new box and the old box is

4185 - 2850 = 1335cm³

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4 years ago