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2 years ago

Please answer the question below

Mathematics

1 answer:

alexandr402 [8]2 years ago

4 0

The value of x in the given sector is determined as 7.1.

<h3>Area of the sector</h3>

Total area of the sector = area of the shaded + area of the unshaded

Since shaded and unshaded areas are equal, the value of x is calculated as follows;

πr²θ/360 = πx²60/360 + πx²60/360

πr²θ/360 = 2(πx²θ/360)

πr² = 2(πx²)

r² = 2x²

x² = r²/2

x² = (10²)/2

x² = 50

x = √50

x = 7.1

Thus, the value of x in the given sector is determined as 7.1.

Learn more about area of sector here: brainly.com/question/22972014

#SPJ1

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5 0

3 years ago

The number of crayons in a box is forty

zzz [600]

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+40 +40
2x=180
————
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The correct answer would be 90 crayons

4 0

3 years ago

What is the scale factor? Multiple choice

kap26 [50]

Answer:

0.75
3/4
post/pre

Step-by-step explanation:

In general, a scale factor is applied to an original (pre) to obtain an image (post). It is the ratio post/pre that expresses the relationship between image dimensions and original dimensions.

Here, that post/pre ratio is 3/4 = 0.75.

7 0

2 years ago

The 7th term of an A.p is -4. If the common difference is-5, find the 6th term

Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

a₆ = a₇+(6-7)d = -4 -(-5) =1

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3 years ago

What is a1 of the arithmetic sequence for which a3=10 and a51=−182?

Furkat [3]

Answer:

a₁ = 18

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 10 and a₅₁ = - 182, then

a₁ + 2d = 10 → (1)

a₁ + 50d = - 182 → (2)

Subtract (1) from (2) term by term to eliminate a₁

48d = - 192 ( divide both sides by 48 )

d = - 4

Substitute d = - 4 into (1) and evaluate for a₁

a₁ + 2(- 4) = 10

a₁ - 8 = 10 ( add 8 to both sides )

a₁ = 18

6 0

4 years ago