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Sergeu [11.5K]
2 years ago
8

Henry's patio is in the shape of a rectangle. He said the perimeter of the patio is 48 feet . He knows that one side is 9 feet w

ide . How many feet long are all the sides of his patio ?
Mathematics
1 answer:
ss7ja [257]2 years ago
8 0

Answer:

2 sides of the patio are 9ft and another 2 sides are 15ft

Step-by-step explanation:

To solve this problem we have to know thata rectangle has 4 sides and 2 of them are equal to each other

This is the formula to calculate perimeter

p = perimeter 48 ft

a = side a = 9 ft

b = side b

p = 2a + 2b

we replace the known values

48ft = 2*9ft + 2b

48ft = 18ft + 2b

48ft - 18ft = 2b

30 / 2 = b

15 = b

2 sides of the patio are 9ft and another 2 sides are 15ft

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What is 9x^7/27^3 simplified
sweet-ann [11.9K]

Answer:

x^7/2187.

Step-by-step explanation:

9x^7/27^=

9x^7/19683 =

x^7/2187 =

x^7/2187.

6 0
2 years ago
Please help!
mariarad [96]

Answer: 1,045 passengers

Step-by-step explanation:

This question involves multiple steps. Let's first try to figure the number of children on the cruise.

The ratio of girls to the total number of children was 2:5. There are 198 boys.

This information tells me that for every 5 children, there's 2 girls and 3 boys.

Based off of this information, we can divide the total number of boys by 3 in order to find the number of children.

198÷3=66

Let's multiply 66 by 5 since that's the number of groupings based off the ratio.

66×5=330

Let's check the number of children. Since the ratio of girls to total children is 2:5 and we already confirmed there's 198 boys, there should be 132 girls. We can turn this ratio into a fraction where 2/5 of the children are girls. we can confirm this by multiply 330 by 2/5 (0.4) and getting 132.

There are 330 children on the cruise.

The ratio of the number of adults to the number of children was 13:6.

For every 6 children, there were 13 adults. Let's divide the number of children by 6 in order to find the number of groupings.

330÷6=55

Let's now multiply the groupings by 13 to find the number of adults.

55×13=715

So there should be 715 adults and 330 children on the cruise.

715+330=1,045

5 0
3 years ago
HELP!! 30 POINTS AND WILL MARK BRAINLIEST One month, Henry's grandfather gives him a box of 523 baseball cards. Each month, star
Bezzdna [24]

Answer:

nth term =  523 + 24(n - 1

Step-by-step explanation:

This is modelled by an arithmetic series where first term a1 = 523 and common difference d = 24.

nth term = a1 + d(n - 1).

Here it is  523 + 24(n - 1)   (answer)

4 0
2 years ago
Read 2 more answers
Suppose you are climbing a hill whose shape is given by the equation z = 1300 − 0.005x2 − 0.01y2, where x, y, and z are measured
Lisa [10]

Answer:

a) "ascend"

Step-by-step explanation:

a)

The equation is  z = 1300-0.005x^2-0.01y^2

This question is asking for the value of the directional derivative in the direction of -j [since south that's y negative]

So, this is the negative of partial derivative of y. Thus we have:

z = 1300-0.005x^2-0.01y^2\\z_y=-0.02y

Now we are at (100,120,1106), we take y value of 120 and put it in the partial:

z_y=-0.02y\\z_y=-0.02(120)\\z_y=-2.4

We take the negative, that is -(-2.4) = 2.4

Since this is positive, we can say the hill is sloping upward at this point, so you will start to ascend.

4 0
3 years ago
When v=5 and m=-4, evaluate: 4v2-m2
lions [1.4K]

Answer:

84

Step-by-step explanation:

4v^2 - m^2

let v=5 and m=-4

4 * (5)^2 - (-4)^2

4* (25) - (16)

100 - 16

84

8 0
3 years ago
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