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OLEGan [10]
2 years ago
10

Find the Value of x. Please help. I will give you 69 points

Mathematics
2 answers:
natali 33 [55]2 years ago
8 0
30°, 120°, 55°, 36°,65°
klio [65]2 years ago
8 0

Answer:

  • 65°, 120°, 55°, 30°, 36°

Step-by-step explanation:

Q1

  • 2x + 50° = 180°
  • 2x = 130°
  • x = 65°

Q2

x is the sum of supplementary angles of 125° and 115°

  • x = 180° - 125° + 180° - 115° = 55° + 65° = 120°

Q3

  • x = 25° + (45° - 15°) = 25° + 30° = 55°

Q4

  • (180° - 60°) - 3x = 90° - 2x
  • 120° - 90° = 3x - 2x
  • x = 30°

Q5

  • 2x + 3x = 180°
  • 5x = 180°
  • x = 36°
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small cubes with edge lengths of 1/4 inch will be packed into the right rectangular prism shown.( the base is 4 1/2, the width i
ss7ja [257]

General Idea:

We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.

Also we need to find the volume of the right rectangular prism with the given dimension (the height is 4 1/2, the width is 5, and the length is 3 3/4).

To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.

Formula Used:

Volume \; of \; Cube = a^3 \; \\\{where \; a \; is \; side \; length \; of \; cube\}\\\\Volume \; of  \; Right \; Rectangular  \; Prism=L \times W \times H\\\{Where  \; L \; is \; Length, \; W \; is \; Width, \;and  \; H \; is \; Height\}

Applying the concept:

Volume of Small Cube:

V_{cube}= (\frac{1}{4}  )^3= \frac{1}{64} \; in^3\\\\V_{Prism}=  3 \frac{3}{4}  \times 5 \times  4 \frac{1}{2}  = \frac{15}{4}  \times \frac{5}{1}  \times \frac{9}{2}  = \frac{675}{8}  \\\\Number \; of \; small \; cubes= \frac{V_{Prism}}{V_{Cube}}   = \frac{675}{8}  \div \frac{1}{64}  \\\\Flip \; the \; second \; fraction\; and \; multiply \; with \; the \; first \; fraction\\\\Number \; of \; small \; cubes \;= \frac{675}{8} \times \frac{64}{1}   = 5400

Conclusion:

The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is <em><u>5400 </u></em>

4 0
3 years ago
Read 2 more answers
Which shows a correct order to solve this story problem?
torisob [31]

you will have to do letter c witch was:

Step 1: Add the price of the tickets and the amount spent on food.
Step 2: Add the amount of the tax.
Step 3: Divide that total by 2.

3 0
3 years ago
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The ratio of buckets of yellow paint to buckets of red paint in the store is 3 to 4. There are 60 buckets of yellow paint. How m
morpeh [17]

Answer:

80 buckets of red paint

Step-by-step explanation:

Given

The ratio of buckets of yellow paint to buckets of red paint in the store to be 3:4

Total ratio = 3 + 4 = 7

Amount of yellow paint = 60

Required

Amount of red paint.

First get the total amount of paint used.

3/7 * x = 60

x is the total paint used

3x/7 = 60

3x = 7*60

x = 420/3

x = 140 buckets of paint

Amount of red paint = Total - Amount of yellow paint

Amount of red paint = 140 - 60

Amount of red paint = 80

Hence there are 80 buckets of red paint in the store

4 0
2 years ago
If the point A is located at ( –5, – 3) and A’ is the image of A after being rotated about the origin by 270° (counter clockwise
Ede4ka [16]

Answer:

A'(- 3, 5 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (y, - x ), hence

A(- 5, - 3 ) → A'(- 3, 5 )

5 0
2 years ago
Cassie wants to buy carpet to cover her whole living room, except for the tiled floor. The tiled floor is 4
SIZIF [17.4K]

Answer:

1456

Step-by-step explanation:

56x2x13

56x26

1456

5 0
2 years ago
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