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3 years ago

PLEASE HELP ME/

Mathematics

1 answer:

astraxan [27]3 years ago

4 0

Option C:

Length of BC = 27

Solution:

Given lengths of the sides are:

AB = 2x, DC = x + 17, AD = x + 10, BC = ?

Quadrilateral ABCD is a parallelogram.

In parallelogram, opposite sides are congruent.

AB = DC and BC = AD

Let us first find x:

AB = DC

⇒ 2x = x + 17

⇒ 2x – x = 17

⇒ x = 17

Let us find AD:

⇒ AD = x + 10

⇒ = 17 + 10

⇒ AD = 27

We know that, opposite sides are congruent.

BC = AD

BC = 27

Option C is the correct answer.

Hence length of BC = 27.

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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

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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

#SPJ4

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

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2 years ago

URGENT!! Please answer this! (In your own words) The best answer gets BRAINLIEST!

Fantom [35]

Answer:

The area is 97.5.

Step-by-step explanation:

The formula for finding the area of a rectangle is Length x Width.

At the bottom it says 5 ft and 10 ft. 10 + 5 = 15, therefore the length is 15.

On the right it says 12 ft, therefore the width is 12 ft.

Since the formula is Length x Width, I did 15 x 12, I attached a file below showing the multiplication process.

15 x 12 = 180.

Therefore, the area of the rectangle is 180.

But, from what it appears from the picture, it's only the shaded area needed.

So, the unshaded areas needed to be subtracted from the rectangle.

Starting with the triangle on the right, the area for a triangle is the base times the height divided by 2, 10 is the base and 12 is the height. 10 x 12 / 2 = 60, multiplication shown below.

The two sides are the same length, making the height for the other side 12 as well.

According to the rectangle, 3 feet does not belong there.

12 - 3 = 9 ft.

Now, the base is 5 ft and the height is 9 ft.

The formula is base x height divided by 2.

5 x 9 / 2 = 22.5, multiplication shown below.

Now, I had known that the 2 shaded areas were 22.5 and 60.

So, I did 180 - 60 - 22.5 = 97.5

Therefore, the area for the shaded part of the rectangle is 97.5.

I sincerely hope this helped! Have a great day, and good luck! :) :)

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3 years ago