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Karo-lina-s [1.5K]
2 years ago
13

Evaluate each expression please help guys

Mathematics
1 answer:
erastova [34]2 years ago
7 0

Answer:

1.)-392

2.)72

3.)-8.25

Step-by-step explanation:

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Each pair of figures is similar. Find the missing side.
Kaylis [27]

Step-by-step explanation:

Similar figures have same ratio of corresponding sides.

Set up ratios and solve for x.

#1

  • x / 54 = 6 / 36
  • x / 54 = 1/6
  • x = 54/6
  • x = 9

#2

  • x / 4 = 99 / 11
  • x / 4 = 9
  • x = 4*9
  • x = 36

#3

  • x / 10 = 6 / 60
  • x / 10 = 1/6
  • x = 10/6
  • x = 5/3

#4

  • x / 4 = 28 / 7
  • x / 4 = 4
  • x = 4*4
  • x = 16
3 0
2 years ago
Write the quadratic equation in standard form. (x - 3) 2 = 0
lidiya [134]
(x - 3)^2 = 0
(x - 3)(x - 3) = 0
x^2 - 3x - 3x + 9 = 0
x^2 - 6x + 9 = 0 <===
5 0
3 years ago
Read 2 more answers
A set of kitchen containers can be stacked to save space. The height of the stack is given by the expression LaTeX: 1.5c+7.61.5
Nuetrik [128]

Answer:

Part A

The height of the stack made of 8 containers is 19.6 cm

Part B

When the tower is 40.6 cm tall, the number of containers in the set are 22 containers

Part C

(Disagree) The height of a single container is 9.1

Step-by-step explanation:

The question relates to containers, stacked one inside the other such that the height increases by only the wider top edge of the containers

The given expression that gives the height of the stack is presented as follows;

1.5·c + 7.6

Where;

c = The number of containers in the stack

Part A

When there are 8 containers, we have;

h(8) = 1.5 × 8 + 7.6 = 19.6

The height of the stack made of 8 containers, h(8) = 19.6 cm

Part B

When the tower (height of the stack set) is 40.6 cm tall, we have;

h(c) = 1.5·c + 7.6 = 40.6

∴ The number of containers, c = (40.6 - 7.6)/1.5 = 22

When the tower is 40.6 cm tall, the number of containers in the set, c = 22 containers

Part C

Given that the height stack increases only by the thickness of the wider rim of each added container, we have;

The expression for the height of the stack , 1.5·c + 7.6, is the expression for a straight line equation, m·x + c

The thickness of each rim = The slope, of the line, m = The increase in height with number of containers = 1.5

The number of containers (The independent variable, x) = The number of stacked rims = c

The minimum height = The height of a single container = 1.5 × 1 + 7.6 = 9.1

Therefore, the height of a single container = 9.1 not 7.6

4 0
2 years ago
Find the value of x to the nearest tenth. (The last answer is 13.3)
Julli [10]
Your answer is the first option, 8.0. You can find this by using the sine rules for sides, so:
10/sin(90) = x/sin(53)
× sin(53)
7.98 = x
And 7.98 rounded to the nearest tenth is 8.0.
I hope this helps!
8 0
3 years ago
Read 2 more answers
10. Use the formula for the
dimulka [17.4K]

9514 1404 393

Answer:

  48 m³

Step-by-step explanation:

The correct formula for the volume of a pyramid is ...

  V = 1/3Bh

For the given values, the volume is ...

  V = 1/3(36 m²)(4 m) = 48 m³

3 0
3 years ago
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