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Rudik [331]
3 years ago
12

Line "AB" and line "CD" are perpendicular and intersect at point P. What is the measure of angle APC?​ ​

Mathematics
1 answer:
mojhsa [17]3 years ago
6 0

Answer:

APC is 90 degrees

Step-by-step explanation:

When lines intersect and are perpendicular. that means the angle of intersection is 90 degrees.

APC is 90 degrees

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B) The number of volume of a cylinder is half of its number of the total surface area.
faust18 [17]

Answer:

V=179.6cm^3

Step-by-step explanation:

the volume of a cylinder is given by:

V=\pi r^2h

where r is the radius and h is the height.

and the surface area:

SA=2\pi r^2+2\pi rh

the first term is the area of the circles and the second term is the area of the body.

since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:

V=\frac{1}{2}SA

substitutig the equivalent expressions on each side:

\pi r^2 h = \frac{1}{2} (2\pi r^2+2\pi r h)

and we simplify and solve for the height (since is the value we don't know of the cylinder):

\pi r^2 h = \pi r^2+\pi r h\\\pi r^2h-\pi rh=\pi r^2\\h(\pi r^2-\pi r)=\pi r^2\\h=\pi r^2/(\pi r^2-\pi r)

we substitute the value of the radius r=7cm, and we get:

h=\pi (7cm)^2/(\pi (7cm)^2-\pi (7cm))\\h=153.938/(153.938-21.991)\\h=153.938/131.947\\h=1.1666cm

thus the volume is:

V=\pi r^2h

V=\pi (7cm)^2(1.1666cm)\\V=179.6cm^3

3 0
3 years ago
Read 2 more answers
6 2/3 divided by 2 thank you please help me answer this
AURORKA [14]

Answer:

should be 3, or try 3.3 OR 3.33333

6 0
3 years ago
Read 2 more answers
20 points! Identify the solids that form the compos
Troyanec [42]

The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The composite solid's surface area is 225.4 square inches.

Step-by-step explanation:

Step 1:

The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The surface area of the composite shape is given by summing the individual surface areas.

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

Step 2:

Any cube's surface area is calculated by multiplying 6 with the square of the side length (a^2).

The cube's surface area = 6a^2 = 6(5^{2} ) = 150 square inches.

Step 3:

Any cylinder's surface area is calculated with the following formula;

The cylinder's surface area = 2 \pi r h+2 \pi r^{2} = 2 \pi (2) (4)+2 \pi (2)^{2} = 75.398 square inches

Step 4:

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.

3 0
3 years ago
Jonah read a total of 24 books over 3 months. If Jonah has read 32 books so far, how many months has he been with his book club?
lilavasa [31]

O think the solution is 33 because if u add u get 33

6 0
3 years ago
Susan needs to simplify the expression shown below.
mash [69]

Answer:

The answer to 75 - ( 8 + 45 ÷ 3 ) × 2= 29

3 0
3 years ago
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