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WINSTONCH [101]
3 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]3 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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In 2005, the Summerville Journal had 110,000 subscriptions. The number of subscriptions subsequently decreased by 8% each year.
barxatty [35]

Answer:

The number of subscription will be 26,655 in 2022.

Step-by-step explanation:

In 2005, the number subscription is 110,000 and it is decreased at a rate 8% per year.

After 1 year number of subscription is 110,000- 8% of 110,00

                                                              =110,000(1-8%)

After 2 years  number of subscription is 110,000(1-8%) -8% of 110,000(1-8%)

                                                               =110,000(1-8%)(1-8%)

                                                               =110,000(1-8%)²

After 2 years  number of subscription is 110,000(1-8%)² -8% of 110,000(1-8%)²

                                                               =110,000(1-8%)²(1-8%)

                                                               =110,000(1-8%)³

....

and so on.

After t year the number of subscription is

S(t)=110,000(1-8\%)^t

t= 2022-2005=17 years

\therefore S(t)=110,000(1+0.08)^{17}

          ≈26,655

The number of subscription will be 26,655 in 2022.

6 0
4 years ago
Two tokens are such that one is colored
denpristay [2]

Answer:

The probablitiy that the other side is also red is 0.67 (2/3)

Step-by-step explanation:

The conditional probability of A given B is denoted as P(A|B) and has the equation:

P(A|B)= (P(A) × P(B|A)) / P(B)

the probability that getting red after picking one token and flipping, P(R),

=probability of picking two side red token and getting red +

the probability of picking one side red one side blue token and getting red

=0.5 × 1 + 0.5 × 0.5 = 0.75

P(TR|R) means the probability of picking two side red token given that token landed red and equals to:

P(TR|R) = P(TR) × P(R|TR) / P(R) = 0.5 × 1 / 0.75 =2/3 ≈ 0.67

4 0
4 years ago
Write an equation of the line passing through point (7,3) that is parallel to line 4x-7y=9
Genrish500 [490]

Answer:

y= 4/7x -1  

Step-by-step explanation:

solve for y first in 4x-7y=9, which becomes y = 4/7x - 9/7, then since its a parallel line the slope stays the same which is 4/7. Then plug into this equation: y =mx+b, in which you plug in the point for the x and y values and you plug in the slope for m, so the equation becomes, 3 = (7)(4/7) + b and now solve for b in which b = -1 and now write the equation using all the corresponding things so the equation becomes: y= 4/7x -1  

3 0
3 years ago
Elisa withdrew $26 at a time from her bank account and withdrew a total of $208. Frances
SVETLANKA909090 [29]

Answer:Elisa made the greater number of withdrawals

Step-by-step explanation:

208 divided by 26 is 8

245 divided by 49 is 5

8 0
3 years ago
Read 2 more answers
The slope and y intercept
Fudgin [204]

Answer:

the y intercept is 5 because the line passes through 5 on the y axis. Now to find the slope, pick two points where the line hits directly on the corner of the grid squares. pIck 2 of those and count the squares up till you are lined up with your other point then count over and get another number. Put the number going up over the number going down like x/y and you'll have your answer. ( simplify it if you can.(-2,3) and (0,5) are a good place to start. The answer should be 2/3. Hope this helped and God bless!

5 0
3 years ago
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