What is square root of 81

Answers

Answer 1

Answer: The square root of 81 is 9, this can be proven by squaring 9, which's result is 81.

Answer 2

Answer: The answer is 9 because 9 times 9 it equal 81 so that the answer

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Laurie is trying to stay within 10 feet of her current diving depth of –30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?A. x + 30 = 10 and x + 30 = –10
B. x – 30 = 10 and x – 30 = –10
C. x + 10 = 30 and x + 10 = –30
D. x – 10 = 30 and x – 10 = –30

Answers

ANSWER
A. x + 30 = 10 and x + 30 = –10

EXPLANATION
If x represents the depth of Laurie at a given moment, then the distance between his current depth and -30 feet is given by

| x - (-30) |

which can be simplifed into

| x + 30 |

We use absolute value because distance cannot be negative.

Laurie must stay within 10 feet. Therefore, the distance x is from -30 feet has to be equal to 10 to find the maximum and minimum depths that Laurie can stay between:

| x + 30 | = 10

When we solve this absolute value equation, we work with two cases.

Case 1: When x + 30 is positive, then |x+30| = x+30 (no change) and we have the equation
x + 30 = 10

Case 2: When x + 30 is negative, then |x+30| = -(x+30) so as to force the distance into a positive number. Then this gives us the equation
-(x+30) = 10
which we can multiply both sides by -1 to get
x + 30 = -10

What is the value of x, when -25(x - 4) = -55(x - 10)?A) x = 5
B) x = -5
C) x = 8 1/8
D) x = 15

Answers

-25(x-4)=-55(x-10)
-25x+100 = 55x-550 |+25x
100 = 80x-550 |+550
650 = 80x | /80
65/8 = x
x = 8 1/8
C

Answer:

Step-by-step explanation:

The answer is d i took the test

The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 42 inches, how long is each spoke? Round your answer to the nearest hundredth. A. 6.69 inches
B. 6.25 inches
C. 7 inches
D. 13.38 inches

Answers

The circumference of the wheel can be expressed by:

$circumference = 2 \pi r$
Where r = the radius of the wheel.

Since the spoke reaches from the center of the wheel to its rim then r = length of the spoke

By rearranging the circumference equation we get:

$r = (circumference)/(2 \pi )$

If circumference = 42 inches then:

$r = (42)/(2 \pi )$

r = 6.68
Which is closest to B

Your book may have a typo in it as the answer to 4 decimal places is 6.6845 which rounds down to 6.68, not up to 6.69.

Estimate sixty-two percent of one hundred twenty-four.

Answers

approximately 77

reasoning — 62% of 100 = 62
and ————— 10% of 24 = 2.4 * 6 = 14.4
———————— 62 + 14.4 = 76.4 ,
and i rounded up since i didn’t do the full 62% of 24 .
giving the estimated answer of about 77

Solve x2 − 3x = −8.x equals quantity of 3 plus or minus I square root of 29 all over 2

x equals quantity of 3 plus or minus I square root of 23 all over 2

x equals quantity of negative 3 plus or minus I square root of 29 all over 2

x equals quantity of negative 3 plus or minus I square root of 23 all over 2

Answers

we have

$x^(2) -3x=-8$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^(2) -3x+1.5^(2)=-8+1.5^(2)$

$x^(2) -3x+1.5^(2)=-5.75$

Rewrite as perfect squares

$(x-1.5)^(2)=-5.75$

Square Root both sides

$x-1.5=(+/-)√(-5.75)$

Remember that

$√(-1)=i$

$√(5.75)= \sqrt{(23)/(4)}=(√(23))/(2)$

Substitute

$x-1.5=(+/-)i(√(23))/(2)$

$x=1.5(+/-)i(√(23))/(2)$

$x=(3/2)(+/-)i(√(23))/(2)$

$x=(3/2)+i(√(23))/(2)=(3+i√(23))/(2)$

$x=(3/2)-i(√(23))/(2)=(3-i√(23))/(2)$

therefore

the answer is

x equals quantity of 3 plus or minus I square root of 23 all over 2

Answer:

x equals 3 plus or minus i square root of 23 all over 2

Step-by-step explanation:

I got it right on the test.

A 3 1/2(mixed number 3 and 1/2) pound container of tomatoes is used tomake salsa. How many containers of salsa can be made if one
container uses 2/3 a pound of tomatoes?
(The picture has the answers)