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3 years ago

What is 0.92 is 10 times as much as................

Mathematics

1 answer:

lina2011 [118]3 years ago

8 0

0.092. Just divide it by 10

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The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e

Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0

2 years ago

Suppose the population of a certain city is 5831 thousand. It is expected to decrease to 5204 thousand in 50 years. Find the per

SVEN [57.7K]

Answer:

The percent decrease is approximately $10.75\%$

(Don't know what you are expected to round to.)

Step-by-step explanation:

Percent change can be calculated by doing:

$\frac{\text{original}-\text{new}}{\text{original}}$

Then you multiply the result to covert it to a percentage.

Let's use this formula:

$\frac{5831 \text{thousand}-5204 \text{ thousand }}{5831 \text{thousand}}$

$\frac{\text{thousand}}{\text{thousand}} \cdot \frac{5831-5204}{5831}$

$\frac{5831-5204}{5831}$

$\frac{627}{5831}$

$0.1075$ approximately

Now the answer as a percent is $10.75\%$ approximately.

The percent decrease is approximately $10.75\%$

3 0

3 years ago

Christine basked a pie.she ate one sixth of the pie. Her brother ate one third of the pie and gave the leftovers to his friends

Sergeeva-Olga [200]

Answer:

Her brother gave his friends one half the pie.

Step-by-step explanation:

The whole pie is equal to 6/6, because that's equal to one. 1/3 = 1/6. 6/6 - 2/6 = 5/6. 5/6 - 2/6 = 3/6. 3/6 = 1/2.

8 0

3 years ago

I need a little help :)

Naily [24]

So firstly, square root 9a^2 and 49: $3a+7\sqrt{b}-a+\sqrt{b}$

Next, combine like terms, and your answer will be $2a+8\sqrt{b}$ , or the third option.

3 0

3 years ago

Order the equations from least to greatest based on the number of solutions to each equation.

aleksandrvk [35]

In order it goes like this

- 4^ x - 1 = 3^ (-x) - 2

- 3 x + 6 = 2^ x + 1

3^ x - 3 = 2 x - 2

so the question is the answer

3 0

3 years ago