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agasfer [191]
3 years ago
6

The area of section 1 is _____ square feet, the area of section 2 is _____ square feet, and the area of section 3 is _____ squar

e feet.The area of the basketball court that needs to be repaved is ______ square feet.

Mathematics
2 answers:
nignag [31]3 years ago
7 0

Answer:32 ft

Step-by-step explanation:

lorasvet [3.4K]3 years ago
3 0

Answer:

The total area is 58 feet²; Area 1=12 feet²; Area 2=40 feet²; Area 3= 6 feet²

Step-by-step explanation:

<em>Area 1:</em>

We know one side of the rectangle is 4 feet. The top side of Area 2 is 10 feet. In between Area 1 and Area 3 there is a line labeled 4 feet. 10-4=6. Area 3 has a side labeled 3 feet, and since the line continues to be straight, the opposite side is also 3 feet. 6-3=3; The other side of Area 1 is 3 feet. 3×4=12, so the area is 12 feet².

<em>Area 2: </em>

One of the sides is labeled 10 feet, so we already have part of the equation. On the left side of the basketball court is 8 feet. One of the sides of Area 1 is four feet and a part of the 8 feet, so there are 4 feet left over for Area 2; 4×10=40, so the area of Area 2 is 40 feet².

<em>Area 3:</em>

We already know one side is 3 feet. We just need to find the other. The right side of the basketball court is labeled 6 feet. We know one of the sides of Area 2 is 4 feet, which is a part of the 6 feet; 6-4=2 and 2×3=6 so Area 3's area is 6 feet².

<em>Total Area:</em>

12+40+6=58; the total area is 58 feet².

Hope this helped.

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The sum of two numbers is 200 and the two numbers are in a ratio of 4:6. Fill in the given boxes with the numbers.
sineoko [7]

Answer:

They are

4+6=10

200/10=20

ratio4= 20x4 = 80

ratio6= 20x6= 120

to prove it do 120+80= 200

8 0
2 years ago
The population P = P(t) of Helm, can be modeled by
MariettaO [177]

Answer:

A.) 0.0129 = k

B.) 2024

Step-by-step explanation:

A.)

267,000 = 250,300e^k5

267,000/250,300 = e^k5

1.0667 = e^k5

ln(1.0667) = lne^k5

ln(1.0667) = 5k

ln(1.0667)/5 = k

0.0129 = k

B.)

300,000 = 250,300^0.0129t

300,000/250,300 = e^0.0129t

1.1986 = e^0.0129t

ln(1.1986) = lne^0.0129t

ln(1.1986) = 0.0129t

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14.03 = t

so the year would be: 2024

7 0
3 years ago
Mary mixes white paint and blue paint in the ratio 2:5.
sukhopar [10]

Answer:Add 44 liters blue

Step-by-step explanation:Mary has 20 liters of paint mixed white:blue in the ratio 2:3.  So two fifths of that paint is white and three fifths is blue.  So that's 8 liters white, 12 liters blue.

We want to add paint to get white:blue = 1:7.  Clearly we need to add blue.  We have our 8 liters of white, so we need a total of 7(8)=56 liters of blue.  We already have 12, so we have to add 56-12=44 liters of blue paint:

6 0
3 years ago
7. A machine produces 900 light bulbs in 1 hour.<br> The rate is ___________ light bulbs per minute.
Ilia_Sergeevich [38]

Answer:

15

Step-by-step explanation:

900 light bulbs per hour

60 minutes per hour

X lightbulbs per minute

Divide 900 lightbulbs by 60 minutes

15

The rate is 15 light bulbs per minute

8 0
1 year ago
The area of the following equilateral triangle is 62.4 square feet that is he height
Vikentia [17]

The height of this triangle would be 10.4

In order to find this, you first must find the length of the sides. Using a manipulated formula for area of an equilateral triangle, we can determine the lengths of the side. Below if the formula.

S = \frac{2}{3}3^{\frac{3}{4}} \sqrt{A}

In this, S is the length of the side and A is the area. So we plug in and get:

S = \frac{2}{3}3^{\frac{3}{4}} \sqrt{62.4}

S = \frac{2}{3}3^{\frac{3}{4}} 7.89

S = 12

Now that we have the side as 12, we can use the Pythagorean Theorem to find the height. If you split a equilateral triangle down the middle, you are left with two right triangles. Using this right triangle, the hypotenuse would be 12, the first leg would be 6 (half of the base) and the height would be the other leg. So we plug in and solve.

a^{2} + b^{2} = c^{2}

6^{2} + h^{2} = 12^{2}

36 + h^{2} = 144

h^{2} = 108

h = 10.4

5 0
2 years ago
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