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oksano4ka [1.4K]
3 years ago
10

A courtyard in the shape of a right triangle is set in the middle of three square office buildings, with one office building alo

ng each side. Which statement is true about the three office buildings?
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
3 0

Answer:

The area of Building C minus the area of Building B equals the area of Building A.

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See the picture below
mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

a)

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}

radius is given as 4, so,

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04

Now, Volume of Cone = \frac{1}{3}\pi r^2 h

Where radius is 4 and height is 10, so,

Volume of Cone = \frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

b)

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = 2\pi r^2\\=2\pi (4)^2\\=100.53

Surface Area of Cone = \pi r^2+\pi rl

We dont need to use the first part, \pi r^2  since it is "inside". We  need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = \pi rl\\=\pi (4)(10.77)\\=135.34

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

5 0
3 years ago
A cone has a slant height of 26 inches and a radius of 24 inches. What is the volume of the cone?
zepelin [54]

Answer:

V≈6031.86in³

Step-by-step explanation:

lmn if you need a explanation

8 0
3 years ago
Read 2 more answers
Are the answers correct or am I missing some?
AlekseyPX
Well,

Emily received $40.00 and then withdrew $40.00.  The final amount would be zero.

Jacoby climbed 782 feet to get to his campsite, and then descended 782 feet to get back to his car.  His final change is zero.

The Eagles mad two points, but then the Bulldogs evened it out with another two points.  The difference between the two scores would be the same.

Marcus ends up going down more than he goes up, so this is not a correct option.

The Ravens scored two points, but at the end the Raiders scored an additional 5 points, which set both teams to the same score.

Since there are an equal number of protons and electrons, and the protons have the same (but opposite) amount of charge as the electrons, the charges cancel each other out, leaving the atom with a neutral overall charge (0).
8 0
3 years ago
How many 4 digit codes are possible if the first digit cannot be 0 and digits can be repeated?
bezimeni [28]

Answer: 9,000

Step-by-step explanation: there are 9 number options for the first digit and 10 for the other 3, so 9x10x10x10=9000

4 0
3 years ago
Two expressions that are equivalent to 5.75 ÷ 1.15.
bulgar [2K]

Answer:

i think the answe is A and B hope this helps

Step-by-step explanation:

Have a nice day!

5 0
2 years ago
Read 2 more answers
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