A metal rod is placed in a rectangular box as shown in the figure. How long is the rod? Round your answer to the nearest tenth of an inch, if necessary. A. 5.0 in. B. 12.1 in. C. 13.4 in. D. 14.2 in.

Answers

Answer 1

Answer: fist we find the legnth of the diagonal
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
c=5

now the other diagonal
11^2+5^2=c^2
121+25=c^2
146=c^2
sqrt both sides12.083
closest is B

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In ΔNOP, the measure of ∠P=90°, the measure of ∠N=83°, and NO = 83 feet. Find the length of OP
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5 times a number increasedby 18 is the same as 36 more
than times 4 times the
number. Find the number.

Answers

Answer:

Step-by-step explanation:

Let's make this information into an equation.

We'll use 'x' whenever the problem says "a number".

Equation:

5x + 18 = 36 + 4x

How did I get to this equation?

5 times a number means 5 multiplied by x
increased by 18 means to add 18
is the same as means equals
36 more than means to add 36
4 times the number means 4 multiplied by x

Now, let's solve.

Solve:

5x + 18 = 36 + 4x

Subtract 18 on both sides:

5x + 18 = 36 + 4x

-18 -18

5x = 18 + 4x

Subtract 4x on both sides:

5x = 18 + 4x

-4x -4x

x = 18

Therefore, "the number" is 18.

George wants to put carpeting in a rectangular living room and a square bedroom. The length and width of the living room is 12 feet by 18 feet one side of the square bedroom is 13 feet it will cost 3.50$ per foot to carpet the rooms A write an expression that can be used to find the total amount george will pay for carpeting
B evaluate the expression how much will George pay for carpeting

Answers

Answer:

The expression of the total amount George pay for carpeting is x = 385 × 3.50 .

$ 1347.5 will George will pay for carpeting .

Step-by-step explanation:

Formula

Area of the rectangle = Length × Breadth

Area of a square = a²

Where a is the side of the square .

As given

George wants to put carpeting in a rectangular living room and a square bedroom.

The length and width of the living room is 12 feet by 18 feet one side of the square bedroom is 13 feet .

Area of the living room = 12 × 18

= 216 ft ²

Area of the bedroom = 13²

= 169 ft ²

Total area = Area of the living room + Area of the bedroom

= 216 + 169

= 385 ft ²

As given

it will cost 3.50$ per foot to carpet the rooms .

First part

Let us assume that the total amount george will pay for carpeting be x .

Than

x = Total are of the living room and bedroom × cost of per foot carpeting .

x = 385 × 3.50

Second part

x = Total are of the living room and bedroom × cost of per foot carpeting .

x = 385 × 3.50

x = $ 1347.5

Therefore the $ 1347.5 will George will pay for carpeting .

(A) L=12ft*18ft($3.50)
      B=13ft*4($3.50)
(B) n=360ft+52ft($3.50)
      n=412ft($3.50)
      n= $14.42

Ms. Hartland bought x number of shirts for the new members of her chorus. The cost for x number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25. There was no sales tax on this purchase. Which equation could be used to find x? A. 3.99(x+12.25) =77.49
B. 3.99x + 12.25 =77.49
C. 12.25(x+3.99) = 77.49
D. 12.25x+3.99= 77.49

Answers

Answer:

D. 12.25x +3.99 = 77.49

Step-by-step explanation:

25% of what number is 125?

Answers

25:100= 0,25
0,25.x= 125
x=125:0,25
X=500

let x be the number,
25 percent =25/100, so

(25/100)(x)=125
0.25x=125,

x=500

Sarah is twice as old as John. Six years ago, Sarah was 4 times as old as John was then. How old is John now?

Answers

$J- John's\ age\ now\nS-Sarah's\ age\ now\n\nS=2J\ \ \ and\ \ \ S-6=4(J-6)\ \ \ \Rightarrow\ \ \ 2J-6=4J-24\n\n2J-4J=-24+6\n\n-2J=-18\ /:(-2)\n\nJ=9\n\nAns.\ Now\ John\ is\ 9.$

S = 2J
S - 6 = 4(J - 6)
S - 6 = 4J - 24
2J - 6 = 4J - 24
-2J = -18
-J = -9
J = 9

18 = 2(9)
12 = 4(9 - 6)
12 = 12!

PLEASE HURRY WILL MARK AS BRAINLIESTV- A committee at the neighborhood recreation center is planning their annual spring social. They have a budget of $295 to plan the event. They have already spent $225 on
various supplies. They still plan to purchase balloons to decorate the room at a cost of $0.65 per balloon. Which of the following inequalities represents the total number of
balloons, b, they can purchase and not spend over their budgeted amount?

Answers

Answer:

There are two inequalities that represent the total number of

balloons, b, they can purchase and not spend over their budgeted amount:

0.65b ≤ 70

0.65b + 225 ≤ 295

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Budget to plan the event = $ 295

Expenses on supplies so far = $ 225

Cost of each balloon = $ 0.65

2. Which of the following inequalities represents the total number of

balloons, b, they can purchase and not spend over their budgeted amount?

1. Let's find how much of the budget is still available:

Budget available = Budget to plan the event - Expenses on supplies so far

Budget available = 295 - 225

Budget available = $ 70

2. Let's find the inequality that represents the total number of

balloons, b, they can purchase and not spend over their budgeted amount.

Number of balloons ≤ Budget available/Cost of each balloon

Replacing with the values we know, we have:

b ≤ 70/0.65

0.65b ≤ 70

or we can write it also including the total budget this way:

Number of balloons ≤ Budget to plan the event - Expenses on supplies so far /Cost of each balloon

Replacing with the values we know, we have:

b ≤ (295 - 225)/0.65

0.65b ≤ 295 - 225

0.65b + 225 ≤ 295

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