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2 years ago

What are the measures of ∠a, ∠b, and ∠c?

Mathematics

1 answer:

Fudgin [204]2 years ago

4 0

Answer:

a should be 45

b should be 90

c should also be 45

Step-by-step explanation:

I know this because 180-135=45 for a

since c is also 45, beside c should be 135.

which means those angles are congruent.

since a triangle equals 180 degrees all together 180-45-45=90

so b is 90

correct me if im wrong

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The school hiking club has completed 4 out of 5 hikes so far this year. They have hiked 4.6 miles, 3.7 miles, 5.1 miles, and 2.9

dezoksy [38]

Answer:

3.7 Miles

Step-by-step explanation:

Add all of the miles, then subtract it by 20.

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3 years ago

If the pressure is 6 pounds per inch when the temperature is 440 F, find the pressure exerted when the temperature of the gas is

SVEN [57.7K]

4.18

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3 years ago

I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on

lisov135 [29]

Hi there!

What we need to know:

The three main trigonometric ratios are sine, cosine and tangent:

$\displaystyle sin\theta=\frac{opposite}{hypotenuse}$ $\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$ $\displaystyle tan\theta=\frac{opposite}{adjacent}$

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

First question

For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

$\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$

Plug in the given information:

$\displaystyle cos56=\frac{a}{13}$

Isolate a by multiplying both sides by 13:

$13\displaystyle cos56=a$

Solve using a calculator:

$a=7.3$

Therefore, a is equal to 7.3 when rounded to 1 decimal place.

Other information you will need to know:

In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:

$\displaystyle sin\theta=\frac{5}{8}$

In this case, we will use the inverse sine ratio:

$\displaystyle \theta=sin^-^1(\frac{5}{8})$

Solve using a calculator:

$\displaystyle \theta=39$

Therefore, the angle would equal approximately 39 degrees.

I hope this helps!

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2 years ago

How many solutions does this linear system have? y =2/3 x+ 2 6x – 4y = –10

ZanzabumX [31]

2. They are both straight lines. The solution of a linear system is where the two lines intersect, and if they're both straight lines, then they can only cross once.

See the picture attached.

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3 years ago

Simplify. 4−8÷2+3 help lol

Musya8 [376]

Answer:

we start with -8 divided by 2 because of PEMDAS

we now have -4

then we do 4-4+3=3

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers