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3 years ago

Law of sines and the law of cosines

Mathematics

1 answer:

Artyom0805 [142]3 years ago

8 0

You would need to use the law of cosines, which is c^2=a^2+b^2-2ab(CosC) , if you are looking for the angles.

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3(3p +5) -6p + 3p(5-1)

lesya692 [45]

Answer:

15p+15

Step-by-step explanation:

3(3p+5)-6p+3p(5-1)

9p+15-6p+3p(4)

9p-6p+15+12p

3p+12p+15

15p+15

8 0

3 years ago

You can know that 236 is a composite number because it is divisible by _____. A. 2 B. 3 C. 7 D. 6

kaheart [24]

A. 2

<h2>Explanation:</h2>

A composite number can be formed if you multiply two smaller positive integers. So the result is also a positive integer. Let's test each option:

Option A.

$\frac{236}{2}=118 \\ \\ \\ So: \\ \\ 236=2\times 118$

236 can be formed by multiplying two smaller positive integers that are 2 and 118.

Option B.

$\frac{236}{3}=78.67 \ It's \ not \ an \ integer$

Option c.

$\frac{236}{7}=33.71 \ It's \ not \ an \ integer$

Option d.

$\frac{236}{7}=39.33 \ It's \ not \ an \ integer$

<em>Only Option A meets the requirements.</em>

<h2>Learn more:</h2>

Inequalities: brainly.com/question/4600160

#LearnWithBrainly

3 0

3 years ago

Read 2 more answers

What does it mean to multiply fractions?

Anastasy [175]

to put them together and add them.

7 0

4 years ago

Read 2 more answers

A company wants to decrease their energy use by 10%. If their electric bill is currently $1,900 a month, what will their bill be

NemiM [27]

Answer:

A. $1,710

B. Yes, probably.

Step-by-step explanation:

Assuming that a 10% decrease in energy use leads to a 10% decrease in the electric bill:

We'll want to find the value which is 10% less than the original value, i.e., the bill cost which is 90% of the original bill.

90% = 0.9

Since the original bill was $1900, we can just multiply 1900 by 0.9:

$1900*0.9=1710$

Answer: A bill of $1,710 would equal a 10% decrease.

Since $1,672 is less than that, then they have decreased their energy use by more than 10% which is likely a success.

Answer: Yes, probably.

5 0

3 years ago

On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove

gogolik [260]

Velocity, distance and time:

This question is solved using the following formula:

$v = \frac{d}{t}$

In which v is the velocity, d is the distance, and t is the time.

On the first day of travel, a driver was going at a speed of 40 mph.

Time $t_1$ , distance of $d_1$ , v = 40. So

$v = \frac{d}{t}$

$40 = \frac{d_1}{t_1}$

The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles

On the second day, the velocity is $v = 60$ .

On the first day, he drove 2 more hours, which means that for the second day, the time is: $t_1 - 2$

On the first day, he traveled 20 more miles, which means that for the second day, the distance is: $d_1 - 20$

Thus

$v = \frac{d}{t}$

$60 = \frac{d_1 - 20}{t_1 - 2}$

System of equations:

Now, from the two equations, a system of equations can be built. So

$40 = \frac{d_1}{t_1}$

$60 = \frac{d_1 - 20}{t_1 - 2}$

Find the total distance traveled in the two days:

We solve the system of equation for $d_1$ , which gets the distance on the first day. The distance on the second day is $d_2 = d_1 - 20$ , and the total distance is:

$T = d_1 + d_2 = d_1 + d_1 - 20 = 2d_1 - 20$

From the first equation:

$d_1 = 40t_1$

$t_1 = \frac{d_1}{40}$

Replacing in the second equation:

$60 = \frac{d_1 - 20}{t_1 - 2}$

$d_1 - 20 = 60t_1 - 120$

$d_1 - 20 = 60\frac{d_1}{40} - 120$

$d_1 = \frac{3d_1}{2} - 100$

$d_1 - \frac{3d_1}{2} = -100$

$-\frac{d_1}{2} = -100$

$\frac{d_1}{2} = 100$

$d_1 = 200$

Thus, the total distance is:

$T = 2d_1 - 20 = 2(200) - 20 = 400 - 20 = 380$

The total distance traveled in two days was of 380 miles.

For the relation between velocity, distance and time, you can take a look here: brainly.com/question/14307500

3 0

3 years ago