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2 years ago

What is the area of the following shape? Do not put units.

Mathematics

1 answer:

____ [38]2 years ago

4 0

Answer:

Area = 30

Step-by-step explanation:

Add the two sides

8 + 4 = 12

Multiply that number by the height

12 × 5 = 60

Divide that number by 2

60 ÷ 2 = 30

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Find the length of a picture frame whose width is 3 inches and whose proportions are the same as a 9-inch wide by 12-inch long p

barxatty [35]

Answer:

4 inches

Step-by-step explanation:

We can set up a proportion to find out the length value (assuming x is the length of the frame)

$\frac{3}{x} = \frac{9}{12}$

We multiply 12 and 3...

$12\cdot3=36$

And divide by 9...

$36\div9=4$

So, the length of the frame is 4 inches.

Hope this helped!

7 0

3 years ago

What equation matches the table of values

Ostrovityanka [42]

The answer is y =3x
Explaining
y= 3*-3
y=-9

6 0

3 years ago

a norman window has the shape of a rectangle surmounted by a semicircle. if the perimeter of the window is 25 feet, express the

sp2606 [1]

The area of the window is $\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}$

The shape of the Norman window is described as a rectangle surmounted by a semicircle.

Let 'x' be the width of the window.

Then this width corresponds to the diameter of the semicircle.

That is, radius of the semicircle = x/2

Now given the perimeter of the whole window = 25 ft

This perimeter is equal to the sum of 3 sides of the rectangle and the perimeter of the semicircle.

Perimeter of the semicircle = $\frac{2\pi r}{2} = \frac{\pi x}{2}$ , where r is the radius of the semicircle.

Now let 'y' be the length of the window.

Then sum of three sides of the window = 2y + x

So 2y + x + $\frac{\pi x}{2}$ = 25

Therefore, $y =( 25 - x - \frac{\pi x}{2} ) / 2$

Area of the window = Area of the semicircle + Area of the rectangle =

$\frac{\pi x^2}{8} +xy = \frac{\pi x^2}{8} + x( 25 - x - \frac{\pi x}{2} ) / 2\\ = \frac{\pi x^2}{8} + (25x - x^2 - \frac{\pi x^2}{2} ) / 2$

So Area of the window = $\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}$

Learn more about area of circle and rectangle at brainly.com/question/4694841

#SPJ4

7 0

1 year ago

Match the solution set given in inequality with the best solution set given in interval notation

zimovet [89]

There you go

I hope this help you

7 0

2 years ago

Help plz my teacher won't help

lesantik [10]

Answer:

y = -3x + 9

Step-by-step explanation:

y = mx + b where m is the slope and b is the y intercept

The hypotenuse is on the same line as BC but twice as long. So extend that line up and it will cross the y axis at (0,9). 9 will be your y intercept.

To find the slope start at C and count up 9 and to the left 3 to get to B.

So the slope is rise/run or 9/(-3) = -3.

Final equation would be y = -3x + 9

6 0

3 years ago