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77julia77 [94]
3 years ago
5

How to calculate a missing side in a right triangle with a angle and a side length?

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
8 0
Use the Trigonometric ratios. In the picture below, there are three different equations to help solve it.

1. sinθ = y/r (opposite/hypotenuse) = 1/cscθ
2. cosθ = x/r (adjacent/hypotenuse) = 1/secant θ
3. tanθ = y/x (opposite/adjacent) = 1/cotθ

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Which is larger 4 yards or 13 feet?
Dmitrij [34]
13feet is larger as 4 yard is equivalent to 12 feet
8 0
3 years ago
Read 2 more answers
Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes (m) it would take her to eat
kipiarov [429]

Answer:

The answer is 10 minutes.

Step-by-step explanation:

First, convert the known amount of time to a fraction.

6/21 (min over hot dogs).

Set up a proportion.

6/21 = m/35 (m being the number of minutes)

Cross multiply.

210 = 21m

Solve for m. (divide each side by 21)

m = 10

I hope this helps! :)

4 0
4 years ago
Consider these numbers, ordered from least to greatest. Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half,
Norma-Jean [14]

Answer:

10%

-0.1

1/4

Step-by-step explanation:

Complete question

Consider these numbers, ordered from least to greatest. Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half, 90 percent A number line going from negative 2 to positive 1. Which values could correctly fill in the blank? Select all that apply. 10% 1 -0.1 -1 One-fourth

step-by-step explanation

On the number line, numbers increase from left to right.

The blank is between -0.2 and 1/2.

Only numbers greater than -0.2 and less than 1/2 can fill the blank.

Range = -0.2<x<1/2

From the values given,

1) 10% = 10/100 = 1/10 = 0.1

-0.2<0.1<1/2

2) -0.2<1

But, 1>1/2

3) -0.2<-0.1<1/2

4) -0.2>-1

5) -0.2<1/4<1/2

Therefore, only 10%, -0.1, and 1/4 can fill in the blank correctly because they satisfy the range -0.2<x<1/2

5 0
3 years ago
Read 2 more answers
A piece of duct measures 48 inches. When pieces are fitted together, 1 72 inches is lost connecting each successive length of du
statuscvo [17]

Answer:

A piece of duct measures 48 inches.

In each connection, we lost 1.72 inches (it also could be 1/2 inches, but i will go with the other option)

Then:

If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them)

So here we have 7 times 48 inches for the pieces, minus 5 times 1.72 inches for the connections, the length is:

L = 7*48in - 5*1.72in = 327.4 inches.

for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:

L = 12*48in - 10*1.72in = 558.8 in

Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.72in of the new connection:

L =  558.8 in +  327.4 in - 1.72in = 884.48 in

3 0
4 years ago
The volumes of soda in quart soda bottles are normally distributed with a mean of 32 ounces and a standard deviation of 1.2 ounc
ale4655 [162]
The answer for this question is 70%
8 0
3 years ago
Read 2 more answers
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