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3 years ago

What is the area of a shaded segment with an area of 12 and an arch angle of 60

1 answer:

3 0

Let A = the area of the whole circle
Let S = the area of the shaded portion
The shaded area is a portion of the circle that is determined by the ratio of the shaded sector to the whole circle of 360 degrees, or
S = (60/360) × A = ( 1 / 6 ) × 12 = 2 ;

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The vertices of a triangle are A(4, 1), B(9, 1), C(2, 5). What is the area of this triangle.

kiruha [24]

Hey there!

$\large\boxed{10u^2}$

Formula for the area of a triangle is (1/2)bh.

Base of this triangle is 5, height is 4.

Image attached.

Plug values into the formula:

A = (1/2)(5)(4)

Simplify.

A = (1/2)(20)

A = 10

Area of the triangle is 10 units².

Hope this helps!

6 0

3 years ago

Read 2 more answers

Use the graph to find the following.

poizon [28]

The values of x at wich F(x) has local minimums are x = -2 and x = 4, and the local minimums are:

F(-2) = -3
F(4) = -5

<h3>What is a local maximum/minimum?</h3>

A local maximum is a point on the graph of the function, such that in a close vicinity it is the maximum value there. So, on an interval (a, b) a local maximum would be F(c) such that:

c ∈ (a, b)

F(c) ≥ F(x) for ∀ x ∈ [a, b]

A local minimum is kinda the same, but it must meet the condition:

c ∈ (a, b)

F(c) ≤ F(x) for ∀ x ∈ [a, b]

A) We can see two local minimums, we need to identify at which values of x do they happen.

The first local minimum happens at x = -2

The second local minimum happens at x = 4.

B) The local minimums are given by F(-2) and F(4), in this case, the local minimums are:

F(-2) = -3
F(4) = -5

If you want to learn more about minimums/maximums, you can read:

brainly.com/question/2118500

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2 years ago

Y=2(x+4)+5 I need help with this question

34kurt

When simplified, y=2(x+4)+5 equals y=2x+13

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4 years ago

Read 2 more answers

Can someone PLEASE help? i need this done!

iren [92.7K]

It would be .43, rounded. You get this answer by taking all of the 10th graders (14) and looking at how many prefer sporting events (6). Then, you simply form a decimal from 6/14, and that comes out to .428, and .43 rounded up. I hope this helps! :)

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3 years ago

the midpoint is AB is M(3,-2). One endpoint is A(7,-9). Find the coordinates of the other endpoint B.

cestrela7 [59]

Answer:

The required points of the given line segment are ( - 1, - 5 ).

Step-by-step explanation:

Given that the line segment AB whose midpoint M is ( 3, -2 ) and point A is ( 7, - 9), then we have to find point B of the line segment AB -

As we know that-

If a line segment AB is with endpoints ( $x_{1}, y_{1}$ ) and ( $x_{2}, y_{2}$ )then the mid points M are-