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ivanzaharov [21]
2 years ago
6

The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radius of t

he circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104
Mathematics
1 answer:
vagabundo [1.1K]2 years ago
4 0

Answer: b : 8

Step-by-step explanation:

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Find x please help thank you
Angelina_Jolie [31]

Answer: x=(7√6)/2

Step-by-step explanation:

To find x, we would have to find the hypotenuse of the 45-45-90 triangle. First, we would have to find the hypotenuse by using the 30-60-90 triangle on top to find it.

For a 30-60-90 triangle, the hypotenuse is 2x in length. the x is the same in all sides. All you would have to do is to plug it in. The leg opposite of 60° is x√3 in length. the leg opposite of 30° is x in length.

Since we know that 7 is opposite of the 30° angle, we know that x is 7. Across fron 60° is the hypotenuse of the 45-45-90 triangle. That leg is x√3. We plug in x=7 and get 7√3.

The hypotenuse of the 45-45-90 triangle is x√2 and the legs are both x. We can set 7√3 equal to x√2 to find x of the missing side.

7√3=x√2           [divide both sides by √2]

x=(7√6)/2

Now, we know x=(7√6)/2.

8 0
3 years ago
There are 16 girls and 20 boys in the school band. Express an equivalent ratio of boys to total number of students in the school
Alex17521 [72]

Answer:

4:5

Step-by-step explanation:

half of 16 is 8, and half of 8 is 4

and half of 20 is 10, and half of 10 is 5

hope i helped man

8 0
3 years ago
Solve for x what is x+5=14
ki77a [65]

Answer:

x=9

Reverse. 14-5=9, so x must be 9.

5 0
3 years ago
Read 2 more answers
Jackson estimated 637 ÷ 78 as 640 ÷ 80. He reasoned that 64 tens divided by 8 tens should be 8 tens. Is Jackson’s reasoning corr
Sholpan [36]

Answer:

the correct solution has been explained

Step-by-step explanation:

Jackson,s reasoning is incorrect  because it should be 8 ones and not 8 tens that would give 64

\frac{640}{80} = \frac{64}{8} = 8

Moreover, \frac{637}{78}  is\ not\ equal\ to \frac{640}{8}

as \frac{637}{78}= 8.16

whereas \frac{640}{80} = 8

clearly, both quantities are different

7 0
3 years ago
6 1/4 as a decimal number
Musya8 [376]
Answer- 6.25 Your welcome.
4 0
3 years ago
Read 2 more answers
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