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Lyrx [107]
2 years ago
5

The angle measurements in the diagram are represented by the following expressions.

Mathematics
2 answers:
marishachu [46]2 years ago
8 0

Answer:23

Step-by-step explanation:

jaja

nikitadnepr [17]2 years ago
3 0

Answer:

Angle A= 30

Step-by-step explanation:

Angle A and B are same side interior

So A + B = 180

x = 8

6(8)-18=30

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agasfer [191]

Answer:

102

Step-by-step explanation:

8 0
3 years ago
Find the area of the region which is inside the polar curve r=5sin(θ) but outside r=4. Round your answer to four decimal places
natka813 [3]

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be 3.75 square units.

<h3>What is an area bounded by the curve?</h3>

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be

Then the intersection point will be given as

\rm 5 \sin \theta  = 4\\\\\theta = 0.927 , 2.214

Then by the integration, we have

\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214}[ (5 \sin \theta)^2 - 4^2] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [25\sin ^2 \theta - 16] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [ \dfrac{25}{2}(1 - \cos 2\theta ) - 16] d\theta \\

\rightarrow \dfrac{1}{2} [\dfrac{25 \theta }{5} - \dfrac{25 \cos 2\theta }{2} - 16\theta]_{0.927}^{2.214} \\\\\\\rightarrow \dfrac{1}{2} [\dfrac{25(2.214 - 0.927) }{5} - \dfrac{25 (\cos 2\times 2.214 - \cos 2\times 0.927) }{2} - 16(2.214 - 0.927]\\

On solving, we have

\rightarrow \dfrac{1}{2} \times 7.499\\\\\rightarrow 3.75

Thus, the area of the region is 3.75 square units.

More about the area bounded by the curve link is given below.

brainly.com/question/24563834

#SPJ4

5 0
2 years ago
Nine times a number decreased by 16
Setler79 [48]

Answer:

9 · x - 16

Explanation:

Nine times a number: 9 · x

Decreased by 16: - 16

Put them together: 9 · x - 16

7 0
3 years ago
Mrs. Metheney had some donuts. She bought 8 more, and now has 18 in total. Write the equation using d as your variable
Tpy6a [65]

Answer:

y=10d+8

Step-by-step explanation:

3 0
3 years ago
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PLEASE HELP ASAP!!!! 2 MATH QUESTIONS!!
Sergeu [11.5K]
Your right on both of your answers to number 1 and 2
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3 years ago
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