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3 years ago

Simplify the expression: 5a - b + 1/2c where a = 2, b = 3, and c = 12

Mathematics

1 answer:

MArishka [77]3 years ago

8 0

Answer:

10a - 3b +6c

Step-by-step explanation:

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Use the diagram of the right triangle above and round your answer to the nearest hundredth.

Svetlanka [38]

Option a: $17.32 \ {m}$ is the length of b

Explanation:

The angle of B is $\angle B=60^{\circ}$ and $a=10 \ m$

We need to determine the length of b.

First, let us determine the angle of A.

Since, ABC is a triangle, then all the angles add up to 180°

Thus, we have,

$\angle A+\angle B+\angle C=180^{\circ}$

$\angle A+60^{\circ}+90^{\circ}=180^{\circ}$

$\angle A+150^{\circ}=180^{\circ}$

$\angle A=30^{\circ}$

Thus, the angle of A is $\angle A=30^{\circ}$

Now, we shall determine the length of b using the sine law formula.

The formula for sine law is given by,

$\frac{a}{\sin A}=\frac{b}{\sin B}$

where $a=10 \ m$ , $\angle A=30^{\circ}$ , $\angle B=60^{\circ}$

Thus, we have,

$\frac{10}{\sin 30}=\frac{b}{\sin 60}$

Simplifying, we get,

$\frac{10}{0.5}=\frac{b}{0.866}$

Multiplying both sides by 0.866, we get,

$\frac{10\times0.866}{0.5}=b$

Multiplying the numerator, we have,

$\frac{8.66}{0.5}=b$

Dividing, we get,

$17.32=b$

Thus, the length of b is $b=17.32 \ m$

Hence, Option a is the correct answer.

7 0

3 years ago

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 mi

rewona [7]

Answer:

a. 8.66 minutes

Step-by-step explanation:

Since the flight times are uniformly distributed, the standard deviation can be calculated as follows:

$\sigma = \frac{b-a}{\sqrt{12}}$

Where 'b' is the maximum flight time (150 minutes) and 'a' is the minimum flight time (120 minutes):

$\sigma = \frac{150-120}{\sqrt{12}}\\\sigma = 8.66\ minutes$

The distribution's standard deviation is 8.66 minutes.

4 0

4 years ago

The graph shows the career interests of the students at Linda's college. Suppose there are 900 students at the school. How many

nevsk [136]

Answer:

117 students

Step-by-step explanation:

13/100 = X/900

(13 * 900)/100 = 117

5 0

3 years ago

WHAT ARE THE THREE DIFFERENT TYPES OF ANGLES!!!!!!??

Vikentia [17]

Hello there, and thank you for asking your question here on brainly.

Answer: The three different types of angles are an acute angle, which is an angle that is an angle that measures from 1° to 89°. A right angle, that specifically measures to 90°. Finally, an obtuse angle that measures from 91° to 179°. An angle that also measures 180° is a straight line, and is called a straight angle.

Hope this helped you! ♥

6 0

3 years ago

Solve for x: (X+1)(x-3) = 0

Anton [14]

Answer:

Step-by-step explanation:

x= -1 or x=3

8 0

3 years ago