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mr_godi [17]
3 years ago
13

Find the missing side lengths.

Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0

Answer:

A

Step-by-step explanation:

we can find using the trigonometric formulas

we can find y by using cosine.

cos = adj / hyp

cos 60 = y / 10

y = 10 cos 60

y = 5

now we can use the Pythagorean theorem since we have the base and hyp

a² + b² = c²

5² + b² = 10²

25 + b² = 100

b² = 75

b = 5√3

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4 years ago
Two identical regular hexagons are joined together as shown in a diagram.
Gelneren [198K]

Answer:

x=120^o

Step-by-step explanation:

step 1

Find the measure of the interior angle in a regular hexagon

we know that

The formula to calculate the measure of the interior angle in a regular polygon is equal to

\frac{(n-2)180^o}{n}

where

n is the number of sides of polygon

In this problem

n=6

so

\frac{(6-2)180^o}{6}=120^o

step 2

Find the measure of angle x

we know that

x+120^o+120^o=360^o ----> by complete circle

solve for x

x=360^o-240^o=120^o

7 0
4 years ago
7x/5+5/2=x/10+1/5<br> SHOW WORK!!! <br> PLEASE HELP!!!!<br> WILL MARK BRAINLIEST
Anettt [7]

Answer:

- 23/13

Step-by-step explanation:

1. Subtract 5/2 from both sides of the equation.

2. Simplify

7/5 = /10 − 23/10

3. Multiply all terms by the same value to eliminate fraction denominators.

7/5 = /10 − 23/10          2 ⋅ 5 ⋅ 7/5 = 2 ⋅ 5( /10 − 23/10)

4. Simplify

14 = − 23

5. Subtract from both sides of the equation.

14 = − 23                              14 − = − 23 −

6. Simplify

13 = − 23

7. Divide both sides of the equation by the same term.

13<em>x </em>= −23                          13x/13 = -23/13

8. Simplify

= −23/13

3 0
3 years ago
What is the greatest common factor of 16 and 96
aleksley [76]
THE FACTORS OF 16 ARE 1,2,4,8,16
THE FACTORS OF 96 ARE 1,2,3,4,6,8,12,16,24,32,48,96
THE GREATEST COMMON FACTOR IS 16
THE GREATEST COMMON FACTOR OF 2 OR MORE NUMBERS IS THE LARGEST WHOLE NUMBER THAT DIVIDES EVENLY INTO EACH OF THE NUMBERS
3 0
3 years ago
Read 2 more answers
What is the area to this figure ?
PolarNik [594]

Answer:

Paralleogram Area = 98 cm²

Rectangle Area = 147 cm²

Total Area of Composite Figure = 245 cm²

Step-by-step explanation:

To find the area of paralleogram you have to take the odd part out and put it on the other side to make a rectangle. Then find the area of that rectangle. 7 * 14 = 98²

After that, Find the area of The regular rectangle. 7 * 21 = 147²

Then, do 98² + 147² = 245²

Thats how you get the answer of 245 cm²

:) hope it helped!

6 0
3 years ago
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