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3 years ago

What is the area of the figure?

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

6 0

48.
For the rectangle, 4x6 =24
For the triangle, area of the triangle is 1/2 x base x height. So, 24.
Add together is 48

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The Surface Area of a square pyramid is 3600 ft. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cu

amm1812

Answer:

10,583 flexible cubes

9915 rigid cubes

Step-by-step explanation:

The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height

Surface area = A + 1/2·p·s

The volume of the pyramid = 1/3×A×h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30·√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, approximately 10,583 cubes

For rigid cubes we have

Given that the height of the pyramid = 30·√7

The slope of the pyramid = 30·√7/10 = 3·√7

So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)

The bottom can hold 400 cubes

The next layer can hold 19×19 = 361

3rd 361

4th 361

5th 324

6th 324

7th 324

8th 324

9th

Continuing, we get a total of about 9915 rigid cubes in the pyramid.

3 0

3 years ago

NEED HELP ASAP!!!!!!! WILL MARK CORRECT ANSWER BRAINLIEST!!!!

Ganezh [65]

Answer:

(x + 1)² + (y - 1)² = 1.5625

Step-by-step explanation:

From the picture we see:

The radius is 5 units. Each unit is .25 so the radius is 1.25.

The centre or middle M= ( -1, 1 )

Circle with centre M and radius r :

(x - xM)² + (y - yM)² = r²

xM = -1

yM = 1

r = 1.25

(x - (-1))² + (y - 1)² = (1.25)²

(x + 1)² + (y - 1)² = 1.5625

6 0

3 years ago

Evaluate this exponential expression 7 • (6+2)^2 - 3^2=

Lelu [443]

Answer: 441

Step-by-step explanation:

$7*(6+2)^2-3^2$

$7*8^2-3^2$

$7*64-9$

$448-9$

441

3 0

2 years ago

Mum bought a litre of orange juice. She filled 5 glasses and had 1/5 of a litre left. How much was in each glass?

avanturin [10]

1/5 of a litre is 0.2 litres
1 litre minus 0.2 litres is 0.8 litres so
0.8 divided by 5 (glasses) is 0.16 litres in each glass

7 0

3 years ago

Three sevenths of a children's choir are boys. If there are 12 boys in the choir, how many children, c, total are in the choir?

ruslelena [56]

Answer:

Here c represents the total number of children in choir.

As per the statement:

Total number of boys in choir = 12

It is also given that: Three sevenths of a children's choir are boys.

⇒ Total number of boys = $\frac{3}{7} c$

$12 = \frac{3}{7}c$

By cross multiply we have;

84 = 3c

Divide both sides by 3 we have;

c = 28

Therefore, the total number of children in choir is 28 children

6 0

3 years ago

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