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WINSTONCH [101]
2 years ago
13

A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 16 cm long and 4 cm wide. The di

ameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
Mathematics
1 answer:
Sedaia [141]2 years ago
3 0

Answer: 76.56sqcm

Step-by-step explanation:

Area of rectangle= length * width

= 16 * 4 = 64sqcm

Area of semicircle= (1/2)(r^2)π

r= d/2= 4/2= 2

Area of semicircle= (1/2)(2^2)(3.14)

= 6.28sqcm

Area of bookmark= Area of rectangle + 2*Area of semicircle

Area of bookmark= 64 + 2(6.28)

=64 + 12.56 = 76.56sqcm

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Lines l and m are parallel
soldi70 [24.7K]

Answer:

  • m∠ABC = 15°

Step-by-step explanation:

<u>Given</u>

  • m∠ABC = x°
  • m∠BCD = 25°
  • m∠CDE = 55°
  • m∠DEF = 3x°

Add two more parallel lines passing through points C and D.

Consider alternate interior angles formed by the four parallel lines.

<u>The angles between the two middle lines are equal to:</u>

  • m∠BCD - m∠ABC  = m∠CDE - m∠DEF

<u>Substitute values and solve for x:</u>

  • 25 - x = 55 - 3x
  • 3x - x = 55 - 25
  • 2x = 30
  • x = 15

m∠ABC = 15°

4 0
3 years ago
In 2020, there were about 260 million gas powered cars on the road. This number isexpected to decrease at a rate of 1.1% per yea
Amanda [17]

This is an equation of exponential decay

y(t) = a b^ t where a is the initial amount

b is the decay factor

t is the time in years

b is found by taking 1 and subtracting the percent it decreases in decimal form

Letting t =4

y(t) = 260 million * ( 1- .011) ^ 4

=248.7473796 million

=24874737.96

Rounding to a whole number

= 24874738

6 0
1 year ago
What is 1928912 times 192 divided by 182 times 9 plus 4 - 12378923789 times -52?
qaws [65]
(1928912×192) ÷ (182×9) + 4- (12378923789×-52)

= 6.437042e11
3 0
3 years ago
Please help me with this math!
STALIN [3.7K]
1. Alternate exterior angles

So, C

2.
180 = 76 + 2x
104 = 2x
52 = x

So, B

4.

4a. No
4b. Yes
4c. No
4d. Yes

5.
180 = 35 + 35 + 2x
180 = 70 + 2x
110 = 2x
55 = x

So, C.

7.

12/8 = 30/y

Cross multiply

12y = 240
y = 20

So, C

8. Alternate interior angles

So, A

9.

A C and D
6 0
3 years ago
Read 2 more answers
If you invested $500 at 5% simple interest for 2 years, how much interest do you earn? Show work and answer in
givi [52]

Answer:

$50

$30.88

I will invest in simple interest as the interest there is more.

Step-by-step explanation:

If I invested $500 at 5% simple interest for 2 years, then the interest that I will get will be given by the formula

I = P \times \frac{rt}{100}, where P is the invested principal, r is the APR and t is the time in years.

So, in our case, I = 500 \times \frac{5 \times 2}{100} = 50 dollars. (Answer)

Now, if I invest $500 at 3% compound interest compounded monthly for 2 years.

Now, using the formula of compound interest we have

I = P(1 + \frac{r}{n \times 100} )^{tn} - P, where r is the APR and n is the number of times in a year the principal is compounded.

In our case, I = 500(1 + \frac{3}{12 \times 100} )^{2 \times 12} - 500 = 30.88 dollars. (Answer)

Therefore, I will invest in simple interest as the interest there is more. (Answer)

3 0
3 years ago
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