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2 years ago

50 points (25 each)

Mathematics

1 answer:

tatyana61 [14]2 years ago

5 0

Step-by-step explanation:

Exterior angle given:

45°

Number of sides:

360°/45° = 8

Interior angle is supplementary with exterior angle:

180° - 45° = 135°

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Evaluate the expression for the given value of the variable.

Stels [109]

Answer:

4 * (3 + 5)

4 * 8

32

Step-by-step explanation:

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For nitrogen to be a liquid, its temperature must be within 12.78 °F of –333.22 °F. Which equation can be used to find the maxim

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To determine the maximum and minimum temperatures at which nitrogen remains a liquid, use the equation |x - (-333.32)| = 12.78, where x is equal to the maximum and minimum temperatures. Using this equation, the maximum temperature is -320.54 degrees Fahrenheit while the minimum is -346.10 degrees Fahrenheit.

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3 years ago

Read 2 more answers

Please help quickly !

GalinKa [24]

Answer:

1. multiplication property of equality

2. division property of equality

Step-by-step explanation:

1. multplied by -3/2

2. divided by -2/3

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4 years ago

I need help with these three problems.... please help me????

viva [34]

12. Answer: 2130

Step-by-step explanation:

T = -0.01y + 10.6

9.2 = -0.01y + 10.6

-10.6 -10.6

-1.4 = -0.01y

÷-0.01 ÷-0.01

140 = y

"y" represents the number of years after 1990

1990 + 140

= 2130

**************************************************************

13. Answer: -0.0036° per foot

Step-by-step explanation:

Since the relationship is linear, then we can set up the values as x, y coordinates and use the slope formula to find the rate of degrees over feet.

(6562, 63) and (16405, 28)

rate = $\frac{28 - 63}{16405-6562}$

= $\frac{-35}{9843}$

= $\frac{-0.0036}{1}$

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14. Answer: $0.28 per kWh

Step-by-step explanation:

Same reason as #13

(200, 55) and (500, 140)

rate = $\frac{140-55}{500-200}$

= $\frac{85}{300}$

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5 0

4 years ago

10. Two lighthouses are located on a north-south line.

Kamila [148]

The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)

The distance between both lighthouses is 5783.96 m

I've added an attachment that represents the scenario.

From the attachment, we have:

$\mathbf{\angle A = 180^o - 120^o\ 43'}$

Convert to degrees

$\mathbf{\angle A = 180^o - (120^o +\frac{43}{60}^o)}$

$\mathbf{\angle A = 180^o - (120^o +0.717^o)}$

$\mathbf{\angle A = 180^o - (120.717^o)}$

$\mathbf{\angle A = 59.283^o}$

$\mathbf{\angle B = 39^o43'}$

Convert to degrees

$\mathbf{\angle B = 39^o + \frac{43}{60}^o}$

$\mathbf{\angle B = 39^o + 0.717^o}$

$\mathbf{\angle B = 39.717^o}$

So, the measure of angle S is:

$\mathbf{\angle S = 180 - \angle A - \angle B}$ ---- Sum of angles in a triangle

$\mathbf{\angle S = 180 - 59.283 - 39.717}$

$\mathbf{\angle S = 81}$

The required distance is distance AB

This is calculated using the following sine formula:

$\mathbf{\frac{AB}{\sin(S)} = \frac{AS}{\sin(B)} }$

Where:

$\mathbf{AS = 3742}$

So, we have:

$\mathbf{\frac{AB}{\sin(81)} = \frac{3742}{\sin(39.717)}}$

Make AB the subject

$\mathbf{AB= \frac{3742}{\sin(39.717)} \times \sin(81)}$

$\mathbf{AB= 5783.96}$

Hence, the distance between both lighthouses is 5783.96 m

Read more about bearing and distance at:

brainly.com/question/19017345

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2 years ago