All categories

3 years ago

Find X A. 11√3 B. 33 C. 44√2 D. 33√2

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

5 0

Answer:

B. 33

Step-by-step explanation:

The side opposite the 45° angle has measure 11√6×sin(45°). The side opposite the 60° angle has measure tan(60°) times that, so we have ...

x = 11√6×sin(45°)×tan(60°) = 11√6×(√2/2)×√3 = 11×(√6)²/2

x = 33

_____

The mnemonic SOH CAH TOA can be a useful reminder of the definitions of the trig functions. It tells you ...

Sin = Opposite/Hypotenuse

Tan = Opposite/Adjacent

Using these relations, we can find the sides of interest:

Opposite = Hypotenuse × Sin . . . . for the 45° triangle

Opposite = Adjacent × Tan . . . . . . for the 60° triangle

where the side opposite the 45° angle is the side adjacent to the 60° angle.

You might be interested in

Geri jogs every fourth day. Sarah jogs along the same path every fifth day. Both girls jog on the path on July 7. What is the ne

irga5000 [103]

Answer:

July 27

Explanation:

7 x 4 = 27

6 0

3 years ago

Read 2 more answers

An analyst has a limit order outstanding on a stock. He argues that the probability that the order will execute before the close

dalvyx [7]

Answer:

b. One in Five

Step-by-step explanation:

To calculate probability, we need to know the formula: $\frac{Number of Expected outcomes}{Total Number of possible outcomes}$

in this case the probability is given in its decimal form, which is = 0.20

∴ to be able to use our formula easily, we will need to convert the probability to its fraction form.

which is 0.20 = $\frac{20}{100}$ (<em> to do this, just simply put a 1 under the decimal point and replace the remaining values of 20 with zeroes)</em>

reducing $\frac{20}{100}$ to its simplest form gives $\frac{1}{5}$ .

Hence, relating it to our formula, we can see that the number of possible out comes is = 1

and the total number of outcomes = 5.

This means that the probability that the order will execute before the same of closing is the same as 1 in 5

5 0

3 years ago

What is the volume of a sphere with a radius of 21 units?

BlackZzzverrR [31]

Answer: D

Step-by-step explanation:

8 0

3 years ago

Paul is making banana bread. The number of cups of bananas he uses is proportional to the number of loaves of bread. Paul uses 1

drek231 [11]

The equation that best represents the relationship between the number of loaves of bread which is denoted by b and the number of cups of bananas which is denoted by c is c = 2 1/4b.

We know that we need 11 ¼ cups of bananas is needed to make 5 loaves of bread.

We need to divide 11 ¼ to 5 which the answer is 2 ¼. The 2 ¼ represents how many cups is needed to make 1 loaf of bread.

7 0

3 years ago

What fraction is equivalent to -5/9

katrin2010 [14]

Answer:

anything thats within the same ratio such as -10/18 or -2.5/4.5 if that works

4 0

3 years ago