Mr.Mckay bought b boxes of crackers for $3 each and p pounds of cheese for $4 per pound.How much did he spend in all.

What is the area of a sector with a central angle of 108 degrees and a diameter of 21.2 cm?

Rasek [7]

Answer:

$105.84\ cm^2$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is

$A=\pi r^{2}$

we have

$r=21.2/2=10.6\ cm$ ----> the radius is half the diameter

substitute

$A=\pi (10.6)^{2}$

$A=112.36\pi\ cm^2$

step 2

Find the area of a sector

Remember that

The area of the circle subtends a central angle of 360 degrees

so

using proportion

Find out the area of a sector with a central angle of 108 degrees

$\frac{112.36\pi}{360^o}=\frac{x}{108^o}\\\\x=112.36\pi(108)/360\\\\x=33.708\pi\ cm^2$

assume

$\pi=3.14$

substitute

$33.708(3.14)=105.84\ cm^2$

7 0

3 years ago

Sin(3pi over 4) = _____

OlgaM077 [116]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2790456

______________

$\mathsf{sin\!\left(\dfrac{3\pi}{4}\right)}\\\\\\ =\mathsf{sin\!\left(\dfrac{3\cdot 180^\circ}{4}\right)}\\\\\\ =\mathsf{sin(135^\circ)}\\\\ =\mathsf{sin(180^\circ-135^\circ)}$

$=\mathsf{sin(45^\circ)}\\\\ =\mathsf{\dfrac{\sqrt{2}}{2}}\quad\longleftarrow\quad\textsf{this is the answer.}$

I hope this helps.=)

Tags: <em>sine sin common angles trig trigonometry </em>

8 0

2 years ago

Sonya put $400 in a savings account for 3 years which pays 5% annual simple interest. The formula to determine the amount of int

Aleks04 [339]

Answer:

I snsmxxabrsgfbsseg

Step-by-step explanation:

zcnsd csndmfbva,ejfn vegbrb

8 0

2 years ago

Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the

Komok [63]

Answer:

D) q + d = 330

0.25q + 0.1d = 6

Step-by-step explanation:

Let q= numbers of quarters

d = number of dimes

q + d = 33 ...........(1)

q = 33 - d

xq + yd = 6 ..........(2)

We will consider the options to know the correct answer

From option A

q +d = 6

25q + 10d = 33

This is wrong

Option B

q + d = 60

0.25q + 0.1d = 33

This is also wrong

Option C

q+d = 33

25q + 10d = 6

Put q = 33 -d in equation 2

25(33 - d) + 10q = 6

825 - 25d + 10d = 6

825 - 15d = 6

-15d = 6-825

-15d = -819

d = -819/-15

d= 54.6

This is also wrong because d exceeds the combination.

Option D

q+d = 33

0.25q + 0.1d = 6

Put q = 33 -d in equation 2

0.25(33 - d) + 0.1d = 6

8.25 - 0.25d + 0.1d = 6

8.25 - 0.15d = 6

-0.15d = 6 - 8.25

-0.15d = -2.25

d = -2.25/ -0.15

d = 15

q = 33 - 15

q = 18

This is correct

5 0

2 years ago

Read 2 more answers

Find a recurrence relation for the number of sequences of 1s, 3s, and 5s whose terms sum to n. (b) Repeat part (a) with the adde

Vladimir [108]

Answer:

The solution has been given in the following attachment .

Step-by-step explanation:

3 0

2 years ago