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garri49 [273]
3 years ago
10

A square has a side length of 9 feet. What is the area of the square

Mathematics
1 answer:
oee [108]3 years ago
4 0

Answer:

81

Step-by-step explanation:

The area of a square is its side length squared so 9^2 is 81

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The sum of two numbers is 125. Five times one number minus three times the other is 41. Determine these numbers
vivado [14]
(x + y = 125)3
5x - 3y = 41
3x - 3y = 375
8x = 416, x = 52
52 + y = 125, y = 73

Solution: the numbers are 52 and 73
4 0
3 years ago
Simplify the radical completely.
Sonja [21]

Answer:

D

Step-by-step explanation:

But basically, one by one you try moving the terms out of the radical.

75 is also 25 * 3 and since 25 has a perfect square root of 5 that goes out and 3 stays inside the radical.

x^3 is also x^2 * x and since x^2 has a perfect square root which is just x that goes outside while the remaining x stays inside.

y^9 is also y^8 * y and since we move variables out the radical in twos y^ goes outside the radical and y stays inside alone.

Finally, z is just z it can't be taken out so it stays inside the radical.

Hope that helps!

8 0
3 years ago
What is the 79th term of this arithmetic sequence? 3, 9, 15, 21,
hodyreva [135]
6 times 79 = 474 so the 79th term is 474
5 0
3 years ago
A rectangular lawn is 2 m longer than it is wide.
PtichkaEL [24]

Let's breadth be x

  • Length be x+2

ATQ

\\ \sf\longmapsto x(x+2)=21

\\ \sf\longmapsto x^2+2x=21

  • Use completing the square method

\\ \sf\longmapsto 4(x^2+2x)=4(21)

\\ \sf\longmapsto 4x^2+8x=84

\\ \sf\longmapsto (2x)^2+2(2x)(2)=84

\\ \sf\longmapsto (2x)^2+2(2x)(2)+2^2=2^2+84

\\ \sf\longmapsto (2x+2)^2=88

\\ \sf\longmapsto 2x+2=\pm\sqrt{88}

  • As it's dimensions we will take positive

\\ \sf\longmapsto 2x+2\approx 9.7

\\ \sf\longmapsto 2x=9.7-2=7.7

\\ \sf\longmapsto x=3.8

  • x+2=3.8+2=5.8

Now

\\ \sf\longmapsto Perimeter=2(L+B)

\\ \sf\longmapsto perimeter=2(3.8+5.8)

\\ \sf\longmapsto perimeter=2(9.6)

\\ \sf\longmapsto Perimeter=19.2m

  • Length of 1 strip=13m

Total strips

\\ \sf\longmapsto \dfrac{19.2}{13}

\\ \sf\longmapsto 1.47strips

  • She needs 2 strips
3 0
3 years ago
Read 2 more answers
Three students are from a plate of cookies.Daniel ate 1/12 of the cookies, Mariel ate 4/12 of the cookies, and Tamika ate 2/12 o
Mrac [35]

Answer:

5/12  of cookies left on the plate

Step-by-step explanation:

we have to add to know what part of the dish ate and then subtract it from the total

1/12 + 4/12 + 2/12 =

when we are adding fractions with the same denominator we simply add the above

1 + 4 + 2 = 7

1/12 + 4/12 + 2/12 = 7/12

now to the total of the plate that would be 1 we subtract what they ate

1 - 7/12 =

the whole 1 can be expressed as 12/12 since if we do the 12/12 = 1 account

12/12 - 7/12

for the subtraction with the same denominator the same thing happens as for the sum, we only do it with the top

12 - 7 = 5

12/12 - 7/12 = 5/12

8 0
3 years ago
Read 2 more answers
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