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1 year ago

Please solve this question step by step explanation

Mathematics

1 answer:

Leno4ka [110]1 year ago

7 0

The value of ∠B is 60 degrees

<h3>How to solve for B?</h3>

The given parameters are

2∠A = 3∠B = 6∠C

Let the angles in a triangle ABC be ∠A, ∠B and ∠C.

The sum of these angles in the triangle ABC is

∠A + ∠B + ∠C = 180

Multiply the above equation by 2

2 * (∠A + ∠B + ∠C) = 2 * 180

Evaluate the product

2∠A + 2∠B + 2∠C = 360

Recall that 2∠A = 3∠B.

Substitute the above in the equation 2∠A + 2∠B + 2∠C = 360

3∠B + 2∠B + 2∠C = 360

This gives

5∠B + 2∠C = 360

Multiply the above equation by 3

3 * (5∠B + 2∠C) = 3 * 360

Evaluate the product

15∠B + 6∠C = 1080

Recall that 3∠B = 6∠C.

Substitute the above in the equation

So, we have:

15∠B + 3∠B = 1080

Evaluate the like terms

18∠B = 1080

Divide both sides by 18

∠B = 60

Hence, the value of ∠B is 60 degrees

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Answer:

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Step-by-step explanation:

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Answer:

x-intercept: $\bigg(\frac{5}{2}, \:0\bigg)$

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Step-by-step explanation:

To find the x-intercept, substitute in $0$ for $y$ and solve for $x$ .

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$-4x+7=2\left(\bold{0}\right)-3$

Simplify 2(0): $-4x+7=2\cdot \:0-3$

Subtract 0 - 3 = -3: $-4x+7=-3$

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Simplify: $-4x=-10$

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To find the y-intercept, substitute in $0$ for $x$ and solve for $y$ .

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$-4(\bold{0})+7=2y-3$

Switch sides: $y-3=-4\left(0\right)+7$

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Murljashka [212]

Answer:

1) Bigger sector = 168.8pi

1) Smaller sector = 56.3pi

2) Bigger sector = 529.9

3) Smaller sector = 176.6

Step-by-step explanation:

1) Bigger sector = $\frac{270}{360}$ ×pi×15×15

= 168.75pi

1) Smaller sector = $\frac{360-270}{360}$ ×pi×15×15

= $\frac{90}{360}$ ×pi×15×15

= 56.25pi

2) Bigger sector = $\frac{270}{360}$ ×3.14×15×15

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2) Smaller sector = $\frac{360-270}{360}$ ×3.14×15×15

= $\frac{90}{360}$ ×3.14×15×15

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