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Karo-lina-s [1.5K]
3 years ago
11

Pls help!! due in 20 min. if u respond just to earn points im reporting <3.

Mathematics
1 answer:
Yuliya22 [10]3 years ago
3 0

Answer:

182 miles

driving distance is 196

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3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall
Katen [24]

Answer:

The volume of the toy is V=5.23\ ft^3

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

V=\frac{2}{3}\pi r^{3}

In this problem, the wide of the toy is equal to the diameter of the hemisphere

so

D=2\ ft

r=2/2=1\ ft ----> the radius is half the diameter

substitute

V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3

step 2

Find the volume of the cone

The volume of the cone is given by

V=\frac{1}{3}\pi r^{2}h

we know that

The radius of the cone is the same that the radius of the hemisphere

so

r=1\ ft

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

h=4-1=3\ ft

substitute the given values

V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

so

V=(\frac{2}{3} \pi+\pi)\ ft^3

V=(\frac{5}{3}\pi)\ ft^3

assume

\pi=3.14

V=\frac{5}{3}(3.14)=5.23\ ft^3

5 0
4 years ago
Please help ASAP don’t mind the scribbles
hjlf

U = 1

L = 0

R = -2

I = 24

M = 17

H = -3

E = 100

S = -439

O = 11

B = -6

T = -41

D = 19

C = 206

<em>Hope this helped ! :)</em>

8 0
3 years ago
PLEASE HURRY! i’ll give brainliest
butalik [34]

Answer:

Step-by-step explanation:

The answer would be a dot plot hope this helps

7 0
3 years ago
Ms. Sculley needs to arrange 28 chairs into equal rows. She needs more than 2 chairs in each row and more than 2 rows. How many
Ilia_Sergeevich [38]

Answer: 7 rows

Step-by-step explanation:

she will have 7 rows with 4 seats in each row or 4 rows with 7 seats in each row

8 0
4 years ago
Please help asap!!!!!
nika2105 [10]

Answer:

The volume of the prism is 27√3/2

Step-by-step explanation:

* Lets revise the triangular prism properties

- The triangular prism has five faces

- Two bases and three side faces

- The two bases are triangles

- The three side faces are rectangles

- The rule of its volume is Area of its base × its height

* Lets solve the problem

- The triangular prism has two bases which are equilateral triangles

- The length of each side of the triangular base is 3"

- The height of the prism is 6"

∵ The volume of the prism = area of the base × its height

∵ The base is equilateral triangle of side length 3"

- The area of any equilateral triangle is √3/4 s²

∴ The area of the base of the prism = √3/4 × (3)² = 9√3/4

∵ The length of the height of the prism is 6"

∴ The volume of the prism = 9√3/4 × 6 = 27√3/2

* The volume of the prism is 27√3/2

6 0
4 years ago
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