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3 years ago

A rectangle is placed around a semicircle as shown below. The width of the rectangle is 5yd. Find the area of the shaded region.

Mathematics

1 answer:

Lena [83]3 years ago

4 0

Answer:

10.75 square yards

Step-by-step explanation:

area of a circle is pi x radius squared

radius here is 5

there is only half a circle so divide this answer in 1/2.

area of the rectangle is base x height

10 x 5 = 50 square yards

subtract the are of the circle from the area of the rectangle.

50 - 1/2(25*3.14) = 50 - 39.25 = 10.75

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A team played 38 matched in a football league. They won 22 matches and Lost nine matches. The rest of the matches were draws. Th

pychu [463]

Answer:

The answer is 73.

Step-by-step explanation:

To find the total number of points for a win, you would do 3*22 which equals 66.

Then the number of draws, which is 7 draws, has one point per draw, so it would be 7.

Add 66 by 7=73

Hope this helps!

4 0

3 years ago

3²+3[2³(√49 - 2²)(3² - 2³)-2²}

lukranit [14]

$3^2+3[2^3( \sqrt{49}-2^2)(3^2-2^3)-2^2]$

Right off the bat, this may look crazy, but if we take it step by step, it will be much easier. So, let's take it step by step. If any step doesn't make sense to you, you can always hmu.

$9+3[8( 7-4)(9-8)-4]$
$9+3[8( 3)(1)-4] = 9+3[24-4] = 9+3[20]$
$9+60 = 69$

Your answer is 69.

6 0

4 years ago

Please help ill give brainliest and explain the answer too please

Lubov Fominskaja [6]

Answer:

x2+8x+16

Step-by-step explanation:

Multiply (x+4)(x+4) to create the polynomial

5 0

4 years ago

Read 2 more answers

Find the altitude of triangle whose vertex is a(1,-2) and the equation of the base is X+y=3.

Sophie [7]

Answer:

$2\sqrt {2}$

Step-by-step explanation:

<u>Distance From a Point to a Line</u>

Given a line with an equation :

ax + by + c = 0

And the point $(x_0,y_0)$

The distance from the line to the point is given by

$\displaystyle d=\frac {|ax_{0}+by_{0}+c|}{\sqrt {a^{2}+b^{2}}}$

The triangle has a vertex at (1,-2) and the base lies on the equation

x + y = 3

Rearranging:

x + y - 3 = 0

The altitude of the triangle is the distance from the point to the line.

The values to use in the formula of the distance are: a=1, b=1, c=-3, xo=1, yo=-2:

$\displaystyle d=\frac {|1*1+1*(-2)-3|}{\sqrt {1^{2}+1^{2}}}$

$\displaystyle d=\frac {|1-2-3|}{\sqrt {2}}$

$\displaystyle d=\frac {4}{\sqrt {2}}$

Rationalizing:

$\displaystyle d=\frac {4}{\sqrt {2}}\cdot\frac{\sqrt {2}}{\sqrt {2}}$

$\displaystyle d=2\sqrt {2}$

The altitude of the triangle is $\mathbf{4\sqrt {2}}$

6 0

3 years ago

What is the length of the side of a right triangle that has a hypotenuse that is 15 mm and a side that is 9 mm?

ycow [4]

A. 12 mm

The Pythagorean Theorem states that a^2 + b^2 = c^2 with a and b being lengths of legs and c being the length of a hypotenuse. So we can use our givens to solve for the remaining leg.

9^2 + b^2 = 15^2
81 + b^2 = 225
b^2 = 144
b = 12

7 0

3 years ago