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AVprozaik [17]
3 years ago
10

Pythagorean Theorem??

Mathematics
2 answers:
IgorC [24]3 years ago
5 0

Answer:

26

Step-by-step explanation:

Alex777 [14]3 years ago
4 0

Answer:

26

Step-by-step explanation:

a^2 + b^2 = c^2

10^2+24^2=x

100+576=676

√676

x=26

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A cereal company is exploring new cylinder-shaped containers. Two possible containers are shown in the diagram.x is 6 and r=4.5
KatRina [158]

Answer:

Container \rm X will have less label area than container \rm Y by about 9\; \rm in.

Step-by-step explanation:

A rectangular sheet of paper can be rolled into a cylinder. Conversely, the lateral surface of a cylinder can be unrolled into a rectangle- without changing the area of that surface.

Indeed, the width of that rectangle will be the same as the height of the cylinder. On the other hand, the length of that rectangle should be exactly equal to the circumference of the circles on the top and the bottom of the cylinder. In other words, if a cylinder has a height of h and a radius of r at the top and the bottom, then its lateral surface can be unrolled into a rectangle of width h and length 2\,\pi\, r.

Apply this reasoning to both cylinder \mathrm{X} and \rm Y:

For cylinder \mathrm{X}, h = 6\; \rm in while r = 4.5\; \rm in. Therefore, when the lateral side of this cylinder is unrolled:

  • The width of the rectangle will be 6\; \rm in, while
  • The length of the rectangle will be 2 \, \pi \times 4.5\; \rm in = 9\, \pi\; \rm in.

That corresponds to a lateral surface area of 54\, \pi\; \rm in^2.

For cylinder \rm Y, h = 10.5\; \rm in while r = 3\; \rm in. Similarly, when the lateral side of this cylinder is unrolled:

  • The width of the rectangle will be 10.5\; \rm in, while
  • The length of the rectangle will be 2\pi\times 3\; \rm in = 6\,\pi \; \rm in.

That corresponds to a lateral surface area of 63\,\pi \; \rm in^2.

Therefore, the lateral surface area of cylinder \rm X is smaller than that of cylinder \rm Y by 9\,\pi\; \rm in^2.

5 0
3 years ago
If the two triangles shown below are congruent, select the corresponding 1 point
nadya68 [22]

Answer:

SSS

Step-by-step explanation:

The two triangles both share a side (the middle line), and it is shown that the other lines are congruent to each other. So all 3 sides are congruent, meaning SSS is the postulate that proves this.

4 0
2 years ago
John needs to hire a painter. Painter A is offering his services for an initial fee of $150 in addition to $12 per hour. Painter
mel-nik [20]

Answer:

Step-by-step explanation:

5 0
3 years ago
Jaxson is throwing a pizza party. He has 1\tfrac{1}{4}1 4 1 ​ pounds of cheese available and he needs \tfrac{1}{8} 8 1 ​ pound o
yKpoI14uk [10]

Answer:

10 pizzas

Step-by-step explanation:

Jaxson is throwing a pizza party. He has 1\tfrac{1}{4}1 4 1 ​ pounds of cheese available and he needs \tfrac{1}{8} 8 1 ​ pound of cheese to make each pizza. How many pizzas can he make?

We can interprete the above question as:

1/8 pounds of cheese = 1 pizza

1 1/4 pounds of cheese = x pizzas

Cross Multiply

1/8 × x = 1 1/4 × 1

x = 1 1/4 ÷ 1/8

x = 5/4 ÷ 1/8

x = 5/4 × 8/1

x = 10 pizzas

x = 10 pizzas

3 0
3 years ago
Which of these is not a method used to calculate finance charges?
Nikolay [14]

Answer:

previous balance

Step-by-step explanation:

7 0
3 years ago
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