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just olya [345]
2 years ago
9

The covered part of this figure is a semicircle. What is the best approximation for the area of this figure?

Mathematics
1 answer:
zalisa [80]2 years ago
6 0

Answer:

 94.18                            

Step-by-step explanation:

Given in the question a semi circle and a right angle triangle

Step 1

Find the diameter of the semi circle

To find the diameter we will use pythagorus theorem

<h3>hypotenuse² = height² + base²</h3>

here,

hypotenuse will be diameter of semicircle

height = 9

base = 4

Plug values in the formula above

diameter = √(9²+4²)

diameter = √97

Step 2

Find radius

<h3>radius = diameter / 2</h3>

Step 3

Area

<h3>π(r)²</h3>

π(√97/2)²

= 76.18

Step 4

Total surface area = area of circle + area of right angle triangle

                               = 76.18 + 1/2(9)(4)

                               = 94.18

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State if the triangles in each pair are similar. If so, state how you know they are similar.
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Answer:

<em>A) similar; SAS similarity.</em>

Step-by-step explanation:

<u>SAS Triangle Similarity</u>

The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.

We are given two triangles BCD and JKL. Sides DB and JL have a ratio of 90/20 = 4.5

Sides JK and BC have a ratio of 81/18 = 4.5

Since both sides are proportional and their included angle of 43° are congruent, then both triangles are similar, SAS similarity.

A) similar; SAS similarity.

6 0
2 years ago
HELP PLEASE : For numbers 3 &amp; 4, draw a triangle for each to find the missing side.
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Answer: 1) b = 2

2) c = 20

Explanation:

I hope this helped!

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7 0
2 years ago
Read 2 more answers
The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?
s344n2d4d5 [400]
{k^2 + 2k + 1 = 25, k^2 + 2k + 1 = 64}
{k^2 + 2k - 24 = 0, k^2 + 2k - 63 = 0}
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3 years ago
What is the slope of this line?<br><br> A. 3<br> B. -1/3<br> C. -3<br> D. -2<br> E. 4
Bingel [31]

Answer:

-3

Step-by-step explanation:

Pick two points on the graph, lets go with (0, 4) and (1, 1)

y = mx + b

m is the slope and to figure it out use below formula

m = (y₂ - y₁) / (x₂ - x₁)

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2 years ago
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I need this answered in ONE minute
Helen [10]

Answer:

x^4 + 4x^3 + 6x^2 + 7x + 2

Step-by-step explanation:

We are asked to multiply the given polynomials.

(x^ 2 + 3x + 1) \times (x^2 + x + 2)

Multiply each term of the first polynomial to each term of the second polynomial.

x^ 2  \times (x^2 + x + 2) = x^4 + x^3 + 2x^2

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Add the results

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Combine the like terms

x^4 + 4x^3 + 6x^2 + 7x + 2

The answer is written in descending powers of x.

7 0
2 years ago
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