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3 years ago

Is c the correct answer or?

Mathematics

2 answers:

vodka [1.7K]3 years ago

7 0

I think yes it's correct but I'm not sure.

kolezko [41]3 years ago

5 0

Answer:

C=20 units (They didn't give the unit in the problem so if you want just write 20.)

Step-by-step explanation:

You need to solve for c. So first you have to use the equation.

We already know a and b so no we plug them in.

16^2 + 12^2 = c^2

When a number is squared or written as to the power of two you simply have to multiply that number by itself. So 16^2=256 and 12*12=144

256+144=c^2

c^2=400

Now we have to do another step because we don't want to know c^2 but want to know c. Now we have to find the square root of 400. The answer is 20 because 20*20=400.

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Prove the following identity : Sin α . Cos α . Tan α = (1 – Cos α) (1 + Cos α)

Umnica [9.8K]

Let's work on the left side first. And remember that
the tangent is the same as sin/cos.

sin(a) cos(a) tan(a)

Substitute for the tangent:

[ sin(a) cos(a) ] [ sin(a)/cos(a) ]

Cancel the cos(a) from the top and bottom, and you're left with

[ sin(a) ] . . . . . [ sin(a) ] which is [ sin²(a) ] That's the left side.

Now, work on the right side:

[ 1 - cos(a) ] [ 1 + cos(a) ]

Multiply that all out, using FOIL:

[ 1 + cos(a) - cos(a) - cos²(a) ]

= [ 1 - cos²(a) ] That's the right side.

Do you remember that for any angle, sin²(b) + cos²(b) = 1 ?
Subtract cos²(b) from each side, and you have sin²(b) = 1 - cos²(b) for any angle.

So, on the right side, you could write [ sin²(a) ] .

Now look back about 9 lines, and compare that to the result we got for the left side .

They look quite similar. In fact, they're identical. And so the identity is proven.

Whew !

4 0

3 years ago

Read 2 more answers

6m+7n+5m−3n simpified

diamong [38]

Answer:

11m + 4n

Step-by-step explanation:

when two numbers with the same variable are added together or subtracted the result is just the numbers added or subtracted. So you can add 6m and 5m to get 11m. and you can subtract 3n from 7n to get 4n

11m + 4n

6 0

2 years ago

The results of a car race are shown. How much faster did Evans drive per lap than loza?

Lelechka [254]

Evans finishes 42 laps in 96,6 mins and Loza finished 38 laps in 102,6 mins

Evans. 96,6÷42= 2,30 mins
Loza . 102,6÷38= 2,70 mins

2,70 mins - 2,30 mins
= 40 secs and Evan is faster with 40secs in each lap.

8 0

3 years ago

Given two angles that measure 50 degrees and 80 degrees and side that measures 4 feet, how many triangles, if any, can be constr

kirza4 [7]

The angles are the only constraint here that counts. If one of the three interior angles of a supposed triangle is 50 degrees and another is 80 degrees, then the third angle must be 50 degrees. Thus, we have a 50-50-80 triangle, which is isosceles though not a right triangle. If 4 feet is a measure of one of the equal sides of a supposed triangle, then obviously the adjacent side also has measure 4 ft.

The set of angles remains the same (50-50-80), but subject to the constraint mentioned above, the measure of any one of the sides has infinitely many possible values, so long as those values are positive.

3 0

2 years ago

What does 7^x=21 in a logarithmic equation

Leviafan [203]

Loga x=n ⇔ a^n=x
log₇ 21=x

x=log ₇ 21
x=ln 21 / ln7=1.564575034...

Answer: x=log₇ 21

8 0

3 years ago