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Oksi-84 [34.3K]
3 years ago
11

In the pictured triangle, 2A is 98 degrees and 2B is 12 degrees. If side a is 84

Mathematics
1 answer:
Rainbow [258]3 years ago
7 0

The length of the side b is 17.82 units

Explanation:

Given that the triangle has ∠A = 98° and ∠B = 12°

Also, given that the side a has length a = 84 units

We need to determine the length of the side b

To determine the length of the side b, we shall use the law of sine formula.

The law of sine formula is given by

\frac{sin \ A}{a} = \frac{sin \ B}{b}

Substituting the values in the above formula,we have,

\frac{sin \ 98^{\circ}}{84} = \frac{sin \ 12^{\circ}}{b}

Simplifying, we get,

\frac{0.99}{84} = \frac{0.21}{b}

Cross multiplying, we get,

0.99\times b=0.21\times 84

Multiplying, we get,

0.99b=17.64

Dividing both sides by 0.99, we get,

b=17.82

Thus, the length of the side b is approximately 17.82 units.

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I am thinking of six different odd numbers, the mean of the numbers is 16, the median is 15, the range is 26, the greatest numbe
Sedaia [141]

Answer:

Step-by-step explanation:

information from the range

If the range is 26 and the largest number is 31 then the smallest number is 31 - 26  = 5

Information from the median

The median must consist of 2 numbers because we have 6 integers for the data and median must consist of the middle 2. Since we are told that the median is 15 and we need 2 integers the other integer must  be 15 as well..

So what do we know so far.

5      15 15         31

Information from the mean

There are six integers making up the series of numbers. The mean is 16. Therefore all 6 integers added together must be 6 * 16 = 96

What do we have so for?

5 + 15 + 15 + 31 = 66

What do the other two numbers sum to?

96 -66 = 30

Getting the answer.

The first number to try must be 13. It has to be below 15 (the median and odd. That's 13).

So now we have

5 13 15 15 ___ 31

But from the mean we need 30

30 - 13 = 17

And we have a winner because 17 is above 15.

Answer

5 13 15 15 17 31

4 0
2 years ago
What is the average of 11, 13, 18 and 22?
kirill [66]

Answer:

16

Step-by-step explanation:

To find the average, add up all the number and divide by the number of terms

(11+ 13+ 18 + 22)/4

64/4

16

5 0
3 years ago
Read 2 more answers
Instructions: Find the volume of each figure. Round your answers to the nearest tenth, if necessary.
Ilia_Sergeevich [38]

The volume of the cone is  84.9 km³

<h3>How to find the volume of a cone?</h3>

Volume of a cone = 1 / 3 πr²h

where

  • h = height
  • r = radius

Therefore,

radius = 3 km

height = √9.5² - 3²

height = √81.25

height = 9.01387818866

height = 9.014 km

Volume of a cone = 1 / 3 × 3.14 × 3² × 9.014

volume of the cone = 254.732197612 / 3

volume of the cone = 84.9107325372

volume of the cone = 84.9 km³

learn more on volume here: brainly.com/question/17075150

#SPJ1

7 0
2 years ago
Jay spent ten more than three times the number of hours on his science fair project than jamie spent on her project jay spent 43
Aliun [14]
Why did both of their names have to start with the same letter

x=jay hours
y=jamie huours

x=10+3y
x=43


so
43=10+3y
minus 10
33=3y
divide 3
11=y

jamies spent 11 hours
8 0
3 years ago
A construction worker is sent to the store to buy more than 30 lb of roofing nails. The nails are sold in 5 lb boxes and 10 lb b
trapecia [35]

Answer:

The answer is A: 5x + 10y > 30. That is, the combination of boxes must be greater than 30 since the requirement is to have more than 30 lb of nails.

Step-by-step explanation:

The worker can buy a combination of boxes, as long as the total is greater than 30 lb. Multiply 5 lb by x and add that to 10 lb times y to get the total, which must exceed 30 lb.

8 0
3 years ago
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