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Greeley [361]
3 years ago
5

Only brilliant can solve

Mathematics
1 answer:
yawa3891 [41]3 years ago
5 0
Volume of the cone = 1/3 pi * 3^2 * 4 =  12pi
Volume of the hemisphere = 4/3 pi 3^3 * 1/2 =  18pi
So the volume of the toy =  12pi + 18pi = 30pi = 94.25 cm^3 to nearest hundredth Answer

Surface area of hemisphere = 1/2 * 4 pi 3^2 =  18pi
Lateral Surface area of the cone =  pi r l where l = slant height of the cone
Now l=  sqrt ( 4^2 + 3^2)  = sqrt25 = 5
So lateral S A = 3 * 5 * pi = 15pi

Surface area of the toy = 18pi + 15pi = 33pi = 103.67 cm^2 ( nearest hundredth)   Answer
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Find the radius of a circle in which a central angle of StartFraction pi Over 7 EndFraction radian determines a sector of area 7
QveST [7]

Answer:

Step-by-step explanation:

The formula for determining the the area of a sector is expressed as

Area of Sector = θ/360 × πr²

Where

θ represents the central angle.

π is a constant whose value is 3.14

r represents the radius of the circle.

From the information given,

The central angle is π/7 radian. Converting to degrees, it becomes

π/7 × 180/π = 180/7 = 25.714 degrees.

Area of sector = 77 square meters

Therefore

77 = 25.714/360 × 3.14 × r²

77 = 0.2243r²

r² = 77/0.2243 = 343.29

r = √343.29 = 18.53 meters

5 0
3 years ago
Find the measure of each interior angle of a regular octagon. (A regular polygon is one that has all the same sides and angles).
NemiM [27]

The interior angle of a regular octagon is 135 degrees.

<h3>What is an octagon?</h3>

An octagon is a polygon that has 8 sides. Therefore, a regular octagon is a octagon with all it sides and angles equal to each other.

Therefore, the sum of angles in an octagon is each interior angle multiply by the number of sides.

Therefore,

n = number of sides = 8

Hence,

interior angle = (n - 2)180 / n

interior angle = (8 - 2)180 / 8

interior angle = 6 × 180 / 8

interior angle = 1080 / 8 = 135°

learn more on octagons here: brainly.com/question/3828395

#SPJ1

5 0
2 years ago
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KIM [24]

Answer:

Kenny traveled 19.5 miles

Step-by-step explanation:

8 0
3 years ago
I have no congruent sides. One of my angles has a measure of 100 degrees.
aliina [53]
The answer is a scalene triangle
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What is the exterior angle of a 20-gon
sertanlavr [38]
I believe it is 18 degrees ^-^
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3 years ago
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