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Juli2301 [7.4K]
3 years ago
11

Calculate the area of a sector of a circle that subtends an angle of 45° at the center of the circle, radius 14cm

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

Calculate the area of the full circle:

Area = PI x r^2

Area = 3.14 x 14^2  = 615.44 sq. cm

45 degrees is 1/8 of a circle, multiple the area of the circle by 1/8

615.44 x 1/8 = 76.93, round to 77 cm^2

The answer is B. 77 cm^2

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Simplify the expression below
aleksandrvk [35]
3*2 = 6 ;
4^2 = 16;
/-2/ = +2;
16*2 = 32 ;
5 + 6 - 32 = 11 - 32 = -21;
The right answer is D) -21 ;
6 0
3 years ago
I had a summer job cooking two items at a bbq place. I sell burgers for $9.00 and sell chicken sandwiches for $11.25. Because I
pishuonlain [190]

Answer:

He sold 180 chicken sandwiches and 150 burguers.

Step-by-step explanation:

Since 330 items were sold, then the amount of burguers and chicken sandwiches sold must be equal to this value. From this information we have:

burguers + sandwiches = 330

We know that each burguer cost $9 and each chicken sandwich cost $11.25 and that we made a total of $3,375. So we have:

9*burguers + 11.25*sandwiches = 3,375

From the first equation we have:

burguers = 330 - sandwiches

Applying it on the second equation:

9*(330 - sandwiches) + 11.25*sandwiches = 3,375

2,970 - 9*sandwiches + 11.25*sandwiches = 3,375

2.25*sandwiches = 3,375 - 2,970

2.25*sandwiches = 405

sandwiches = 405/2.25 = 180

So,

burguers = 330 - 180  = 150

He sold 180 chicken sandwiches and 150 burguers.

8 0
3 years ago
Question Progress<br>Homework Progress<br>5/18 Marks<br>The ratio 15:3 in its simplest form is<br>I​
AURORKA [14]

1. 15/3:3/3

2. 5:1

1. find the same denominator

2. divide by denominator

5 0
3 years ago
List 3 values that would make this inequality true 48 &lt; 6n​
icang [17]

Answer:

Step-by-step explanation:

Turn the question around so it is easier to see.The open end is closest to n.

6n>48          Divide by 6

6n/6>48/6

n > 8

So all you have to do is choose 3 values greater than 8

How about 9,10,11

4 0
3 years ago
Make t the subject of the formula <br> P= 3-2t<br> —————<br> 4+t
Rufina [12.5K]

Answer:

t = \frac{3 - 4p}{p + 2}

Step-by-step explanation:

Given

P = \frac{3 - 2t}{4 + t}

Required

Make t the subject

P = \frac{3 - 2t}{4 + t}

Cross Multiply

P * (4 + t) = 3 - 2t

4p + tp = 3 - 2t

Collect Like Terms

tp + 2t = 3 - 4p

Factorize:

t(p+2) = 3 - 4p

Make t the subject

t = \frac{3 - 4p}{p + 2}

5 0
3 years ago
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