Which answer is equal to ( sqrt 7)^3?
A.7 3/2
B.7 2/3
C.7 1/6
D.7 1/3

Answers

Answer 1
Answer: (√(7))^(3)
√(7)√(7)√(7)
√(7 * 7 * 7)
√(49 * 7)
√(343)
√(49 * 7)
√(49)√(7)
7√(7)
(7)^{(3)/(2)}

The answer is A.
Answer 2
Answer: Try D As your Answer.

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If the perimeter of a right triangle is 42 units and the length of the hypotenuse is 20 units, find the length of the other two sides of the triangle.Can you please show work

Answers

so
a^2+b^2=c^2
c=hypotenuse
a^2+b^2=20^2=400

if the permiter is 42 then
p=hypotonuse+side+side
42=20+side+side
subtract 20 from both sides
22=side+side

a+b=22
subtract b from both sides
a=22-b
subsitute for a in equation below
a+2+b^2=c^2
(22-b)^2+b^2=400
b^2-44x+484+b^2=400
2b^2-44x+484=400
divide both sides by 2
b^2-22x+242=200
subtract 200 from both sides
b^2-22x+42=0
factor
(b+/-number)(b+/-number)
to find the numbers, find which 2 number multiply to 42 and add to get -22
the numbers must be neative since same signs multiplied=positive and negative+negative=negative
(b-number)(b-number)
facrors of 42=2,3,6,7,14,21
2,21
3,14
6,7
it's hard to find the number, but the numbers are -19.8882 and -2.11181
(b-19.8882)(b-2.11181)=0
if xy=0 then assume that x and y=0

b-19.8882=0
add 19.8882 to both sides
b=19.8882

b-2.11181=0
add 2.11181 to both sides
b=2.11181



the side legnths are 19.8882 units and 2.11181 units

The perimeter of a picture frame is 24 inches. If the width of the picture frame is 5 inches, what is the length of the picture frame?

Answers

l=7
2l+2w=24
2l+2x5=24
2l+10=24
2l=14
l=7

The answer is (8x+36) inches

The sales tax is 6% and the item is $110.00. How much do I add for sales tax?

Answers

$6.60

6% of $110 is 33/5
Which when divided is 6.6
And in dollars it is $6.60

-4x <8 solve the inequality

Answers

Answer:

x>−2

Step-by-step explanation:

−4x<8

Step 1: Divide both sides by -4.

−4x

−4

<

8

−4

x>−2

Trent told his friends it would take him 90 minutes to mow the lawn. It only took him75 minutes. What is his percent error?

Answers

Answer:

The answer is 16%

Step-by-step explanation:

use the percent error formula.

(|E-T|)/(|T|) *100

in this problem,

e= 75

t=90

substitute and solve.

(|75-90|)/(|90|) *100\n(|-15|)/(|90|)*100\n\n .16667*100\n

16%

we are dealing with percents so rounding to nearest whole number will suffice.

hope this helps!

Due to fire laws no more than 720 people may attend a performance at metro auditorium. the balcony holds 120 people. there are 32 rows on the ground floor, each with the same number of seats. write an inequality to find the numbers of people that can sit in a ground floor row if the balcony is full. indentify what your variable represents WRITE ME A INEQUALITY AND WHAT THE VARIABLE REPRESENTS

Answers

Answer: x\leq 18.75 is the inequality and x is the number of seats in each row in the ground floor.

Step-by-step explanation:

Since, The total number of people may attend = People in the balcony + People in the ground floor.

And, According to the question, Number of the people in the balcony = 120

Now, Let x represents the number of the seats in the ground floor,

While y represents total number of people.

And, again according to the question,

There are 32 rows on the ground floor,

Therefore, the number of the people in the ground floor = 32 x

y = 120 + 32 x

But, the total number of the people must be not more than 720.

Therefore, y \leq 720

120 + 32 x\leq 720

⇒  32 x\leq 720-120

x\leq 18.75

Where x is the number of seats in the ground floor.

32*x < 720-120 
32*x < 600
x < 18.75

because of x represents the number of seats in each row, it has to be a natural number -- whole. so x=18 is the max number of seats in each row and x < 18.75 is the desired inequality.