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Marizza181 [45]
2 years ago
9

This star is made up of 4 equilateral triangles of equal area and a square.

Mathematics
1 answer:
pentagon [3]2 years ago
4 0

Answer:

24 cm

Step-by-step explanation:

Given: Picture of the star is made up of 4 unshaded equilateral triangles of equal area and a shaded square.

Area of the shaded region (square) = 9\,\, cm^2

To find: the perimeter of the star

Solution:

Area of the shaded region (square) = 9\,\, cm^2

Area of square = (side)^2

(side)^2=9\\side=3\,\,cm

As each equilateral triangle has side lengths that are the same as the side length of the square,

length of side of the star = 3 cm

Perimeter is the sum of lengths of the sides.

Perimeter of star = sum of 8 sides of the star

= 8 × 3 = 24 cm

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Asher pays 156 every 6 weeks for piano lessons. What is the price per year for piano lessons?
Marta_Voda [28]
About 1352
There r about 52 weeks in a year
Divide 52 by 6 = 8.66666667
Multiply 8.6666667 by 156 you will get 1352 per year
6 0
2 years ago
Read 2 more answers
Find all points of intersection of the given curves. (Assume 0 ≤ θ ≤ 2π and r ≥ 0. Order your answers from smallest to largest θ
DerKrebs [107]

Answer:

∅1=15°,∅2=75°,∅3=105°,∅4=165°,∅5=195°,∅6=255°,∅7=285°,

∅8=345°

Step-by-step explanation:

Data

r = 8 sin(2θ), r = 4 and r=4

iqualiting; 8.sin(2∅)=4; sin(2∅)=1/2, 2∅=asin(1/2), 2∅=30°, ∅=15°

according the graph 2, the cut points are:

I quadrant:

0+15° = 15°

90°-15°=75°

II quadrant:

90°+15°=105°

180°-15°=165°

III quadrant:

180°+15°=195°

270°-15°=255°

IV quadrant:

270°+15°=285°

360°-15°=345°

No intersection whit the pole (0)

7 0
2 years ago
Three boards are placed end to end to make a walkway. The first board is 4 feet 5 inches long, the second board is 6 feet 9 inch
Kazeer [188]

Answer:

15 feet and 1 inch long

Step-by-step explanation:

add up the feet: 4+6+3= 13 feet

add up the inches: 5+9+11 = 25 inches

25/12= 2 feet 1 inch

13 feet + 2 feet + 1 inch= 15 feet 1 inch

7 0
2 years ago
Expressed as a percentage, how many more avocados does the city of
mash [69]

Answer:

In Phoenix they consume 60% more avocados than in Denver.

Step-by-step explanation:

Given that in Denver they consume 75 units of avocados, while in Phoenix they consume 120 units of said fruit, to determine the percentage difference between the consumption of both cities it is necessary to perform the following calculation:

75 = 100

120 = X

((120 x 100) / 75) = X

(12,000 / 75) = X

160 = X

160 - 100 = 60

Therefore, in Phoenix they consume 60% more avocados than in Denver.

8 0
2 years ago
suppose you could make a single "lump sum" deposit of $3679, in an investment that provides an annual percentage rate(apr) of 4%
yaroslaw [1]

Answer:

\$5,698.30  

Step-by-step explanation:

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  (future value)

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=11\ years\\ P=\$3,679\\ r=4\%=4/100=0.04\\n=365  

substitute in the formula above

A=3,670(1+\frac{0.04}{365})^{365*11}  

A=\$5,698.30  

3 0
2 years ago
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