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3 years ago

What is the answer to these two

Mathematics

1 answer:

Serggg [28]3 years ago

8 0

Answer:

1.) m<6 and m<8=142, m<9=38

2.) m<7 and m<9=66, m<8=114

note: brainliest would be appreciated.

Step-by-step explanation:

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Please help me on #18, don't know how to do the question.

svetlana [45]

Option B) Determine the volume of the cake V= πr²h and divide that amount by 18

<u>Step-by-step explanation:</u>

It is given that, the birthday cake is in the shape of the cylinder.
Therefore, to find the entire volume of the cake, the volume of the cylinder formula is used.

<u>The volume of the cylinder is given by,</u>

Volume of the birthday cake = πr²h

After that, it was asked to find the volume of each piece of the cake.

In this case, the birthday cake is cut into 18 pieces.

We already know the total volume of the birthday cake which is πr²h.

In order to find the volume of each piece of cut cake, the total volume must be divided by the number of parts it has been cut into pieces.

Here, the whole part of the cake is 1.

The number of parts it has been divided after it is made into pieces = 18 parts.

Therefore, the volume of the birthday cake must be divided by 18 to get the volume of each piece of cake.

Option B) Determine the volume of the cake V= πr²h and divide that amount by 18 is correct.

8 0

3 years ago

The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equatio

bixtya [17]

The correct option is (b) h=0.5cos( $\pi$ /6t)+9.5.

The equations can be used to model the height as a function of time, t, in hours is h=0.5cos( $\pi$ /6t)+9.5.

<h3>Equation of cosine function:</h3>

The following is a presentation of the cosine function's generic form;

y = a + cos(bx - c) + d

amplitude = a

b = cycle speed

Calculation for the model height;

The height, h (feet) of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet.

Obtain amplitude 'a' as

$\begin{aligned}a &=\frac{\text { Maximum value }-\text { Minimum value }}{2} \\a &=\frac{10-9}{2} \\a &=\frac{1}{2} \\a &=0.5\end{aligned}$

The time 'T' is calculated as-

$\begin{aligned}&\mathrm{T}=\frac{2 \pi}{\mathrm{b}} \\&12=\frac{2 \pi}{\mathrm{b}} \\&\mathrm{b}=\frac{2 \pi}{12} \\&\mathrm{~b}=\frac{\pi}{6}\end{aligned}$

Now, calculate 'd'

$\begin{aligned}&\mathrm{d}=\frac{\text { Maximum value }+\text { Minimum value }}{2} \\&\mathrm{~d}=\frac{10+9}{2} \\&\mathrm{~d}=\frac{19}{2} \\&\mathrm{~d}=9.5\end{aligned}$

Therefore, with the height as a function of time, t, expressed in hours, can be modeled by the following equations:

h=0.5cos( $\pi$ /6t)+9.5

To know more about the general equation of a cosine function, here

brainly.com/question/27587720

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The complete question is-

The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t, in hours? Assume that the time at t = 0 is 12:00 a.m.

A. h=0.5cos( $\pi$ /12t)+9.5

B. h=0.5cos( $\pi$ /6t)+9.5

C. h=cos( $\pi$ /12t)+9

D. h=cos( $\pi$ /6t)+9

7 0

2 years ago

If A pizza shop sells pizzas that are 10 inches (in diameter) or larger. A 10-inch cheese pizza costs $8. Each additional inch c

nydimaria [60]

8 + 1.5(10-d) + .75t = Total

6 0

3 years ago

What term best represents <3 and <6?

joja [24]

Answer:

what are the choices for this qestion?

Step-by-step explanation:

8 0

3 years ago

Select the correct answer.

Lelechka [254]

Answer:

the answer is B.

Step-by-step explanation:

W= median is 58

R= median is 81

81-58=23

7 0

3 years ago