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Gre4nikov [31]
2 years ago
14

3

Mathematics
1 answer:
Neko [114]2 years ago
4 0

Answer:

A Mile in a flat road race takes about 3 to 4 minutes. On a flat surface, the ride is relatively smooth with no significant hurdles, hills or tricky manoeuvers.

Step-by-step explanation:

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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
3 years ago
What is 21/25 in a fraction
Vlad [161]

21/25 is already a fraction and if you wanted it to be simplified, its already simplified to be 21/25.

5 0
3 years ago
Read 2 more answers
Select the conic section that represents the equation. y2 = 10x circle ellipse parabola hyperbola
Makovka662 [10]

The conic that represents the equation y² = 10x is a parabola

Step-by-step explanation:

The general equation for any conic section is

Ax² + Bxy + Cy² + Dx + Ey + F = 0, where A, B, C, D, E and F are

constants

1. If B² - 4AC < 0, if a conic exists, it will be either a circle or an ellipse,

   if A and C are equal then it is a circle, if not then it is an ellipse

2. If B² - 4AC = 0, if a conic exists, it will be a parabola

3. If B² - 4AC > 0, if a conic exists, it will be a hyperbola

∵ The equation is y² = 10x

- Subtract 10x from both sides

∴ y² - 10x = 0

∴ A = 0 , B = 0 , C = 1 , D = -10 , E = 0 and F = 0

∵ B² - 4AC = (0)² - 4(0)(1) = 0

∴ B² - 4AC = 0

∴ The conic is parabola

The conic that represents the equation y² = 10x is a parabola

Learn more:

You can learn more about discriminant in brainly.com/question/8196933

#LearnwithBrainly

6 0
3 years ago
40.8-10 to the power of 2
EleoNora [17]

Answer:

-4  

Step-by-step explanation:

8-10 = -2

-2^2 = -4

5 0
3 years ago
Read 2 more answers
Evaluate M^2 /p^2 for M = 10, N =-5p and P = -2
kondaur [170]

<u>Answer: </u>

The solution of \bold{\frac{M^{2}}{P^{2}}} for M = 10, N = -5P and P = -2  is 25

<u>Solution: </u>

From question, given that the value of M is 10 and N is -5p and P is -2

We have to evaluate the value of \frac{M^{2}}{P^{2}},  

By substituting the values of M and N, we get

\frac{M^{2}}{P^{2}} = \frac{10^{2}}{(-2)^{2}}

Expanding \bold{10^{2}}:

Here 10 is the base value and 2 is the exponent value. So the base term 10 is multiplied by itself two times.

10^{2} = 10 \times 10 = 100

Similarly expanding \bold{(-2)^{2}}:

Here -2 is the base term and 2 is the exponent value. So the base term -2 is multiplied by itself two times.  

(-2)^{2} = -2 \times -2 = 4

So the equation \frac{M^{2}}{P^{2}} = \frac{10^{2}}{(-2)^{2}} becomes,

\frac{M^{2}}{P^{2}} = \frac{100}{4}

By dividing 100 by 4 , we get the result as 25

Hence the solution of \bold{\frac{M^{2}}{P^{2}}} when M = 10 and P = -2 is 25

6 0
3 years ago
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