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Novosadov [1.4K]
2 years ago
15

The surface area of a solid is 10 square feet. The dimensions of a similar solid are

Mathematics
1 answer:
maxonik [38]2 years ago
6 0

Answer:

90 ft²

Step-by-step explanation:

Given the sides of similar figures in the ratio a : b, then

ratio of areas = a² : b²

Here ratio of sides = 1 : 3 , thus

ratio of areas = 1² : 3² = 1 : 9

That is the surface area of the new solid is 9 times the first

SA = 9 × 10 = 90 ft²

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Solve using square roots 3x^2+25=73
seropon [69]
Heya !

Given expression -

3 {x}^{2} + 25 = 73

Subtracting 25 both sides ,

3 {x}^{2} + 25 - 25 = 73 - 25 \\ \\ 3 {x}^{2} = 48

Dividing by 3 on both sides ,

\frac{3 {x}^{2} }{3} = \frac{48}{3} \\ \\ {x}^{2} = 16

Therefore ,
x = + \: 4 \: \: \: \: or \: \: - 4 \: \: \: \: \: \: \: Ans.
4 0
3 years ago
Help
aniked [119]

Answer:

39.3%

Step-by-step explanation:

5 0
3 years ago
The American Management Association is studying the income of store managers in the retail industry. A random sample of 49 manag
VashaNatasha [74]

Answer:

a) The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

b) The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

Step-by-step explanation:

Question a:

We have to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a p-value of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{2050}{\sqrt{49}} = 574

The lower end of the interval is the sample mean subtracted by M. So it is 45420 - 574 = $44,846.

The upper end of the interval is the sample mean added to M. So it is 45420 + 574 = $45,994.

The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

Question b:

The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

5 0
2 years ago
What is the value of X ?
umka21 [38]

Answer:

15 because its 15j hvyb

7 0
3 years ago
If < A and < B are vertical angles, and < A = 2x - 11 degrees, and < B = x + 7 degrees, find x.
Tema [17]

Answer:

x=18

Step-by-step explanation:

Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.

1) 2x-11=x+7

2) x-11=7

3)x=18

7 0
3 years ago
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