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anyanavicka [17]
3 years ago
9

Find the area of the polygon. All angles in the figure are right triangles.

Mathematics
1 answer:
svet-max [94.6K]3 years ago
7 0

Answer:

The area is 207 square feet

Step-by-step explanation:

*The area of the rectangle whose dimensions are 21 and 15 is 315 square feet

*The area of the rectangle whose dimensions are 12 and 9 is 108 square feet

*By subtracting the small area from the big area you will get the area of the polygon

*The area of the polygon = 315 - 108 = 207 square feet

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Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into the account
telo118 [61]

Answer:

A(t) = 200+15t(1+0.02)^{t}

Step-by-step explanation:

Since the interest is calculated on the new balance every year.

Hence the formula used for compound interest is:

A = P(1+\frac{r}{n}^{nt}

where, A =Amount after t years

P =Principal amount

200 is the initial balance and Since, here the $15 is added to the balance each year. Therefore, P = 200+15t

r = rate each year (0.02)

t = time (in years) (t)

n = no. of times the interest is compounded in a year (n=1)

Therefore, the recursive formula is:

A(t) = 200+15t(1+0.02)^{t}

6 0
3 years ago
Read 2 more answers
Write a paragraph comparing the two classes' semester grades. Be sure to compare the extremes, the quartiles, the medians, and t
Gnom [1K]

Answer:

Second class have higher marks and greater spread.

Step-by-step explanation:

First box plot  represents class first. From the first box plot, we get

\text{Minimum value }= 53,Q_1=62,Median=80,Q_3=86,\text{Maximum value }= 89

Range=Maximum-Minimum=89-53=36

IQR=Q_3-Q-1=86-62=24

Second box plot  represents class second. From the second box plot, we get

\text{Minimum value }= 56,Q_1=62,Median=74,Q_3=89,\text{Maximum value }= 96

Range=Maximum-Minimum=96-56=40

IQR=Q_3-Q-1=89-62=27

First class has greater minimum value, first quartile of both classes are same, second class has greater median, first class has greater third quartile and first class has greater maximum value. It means second class have higher marks but class first have less variation.

Second class has greater range and greater inter quartile range. It means data of second class has greater spread.

Therefore, second class have higher marks and greater spread.

3 0
3 years ago
Which expression is equivalent to -9x-1y-9/-15x5y-3?
FrozenT [24]

Answer: -9x-1y-9/

Step-by-step explanation:

8 0
2 years ago
If a football field is 100 yards long and 54 yard wide and what is the area in perimeter of that football filed
OlgaM077 [116]

Answer:

5400

Step-by-step explanation:

you would measure the length and width. Multiply the length by the width to get the area, and add twice the length to twice the width to get the perimeter

7 0
3 years ago
In converting 750 ounces to pounds, what unit (omit the number) would you
Masja [62]

16 ounces is 1 pound.

So 1 ounce will be 1/16 pound.

750 × 1/16

\displaystyle \frac{750}{16}

6 0
3 years ago
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