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sweet-ann [11.9K]
3 years ago
6

Please help me with this!!!

Mathematics
1 answer:
RSB [31]3 years ago
4 0
The answer that you have is most likely right, since the grouping did not change.
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Geometry Proof - please help ASAP
DanielleElmas [232]

Answer:

  • If angle C is 90 degrees (def. of right angle) then the sum of angle A and B has to 90 degrees since angle A + B + C (90°) = 180°

Statements and Reasons:

3. Angle C is 90 degrees because of the definition of right angle.

4. Angle A + angle B + angle C is 180 degrees because of triangle sum.

5. Angle A + angle B + 90 = 180 because of substitution postulate.

6. Angle A + angle B is 90 degrees because of subtraction postulate. (subtract 90 from both sides from the equation above this step).

7. Angle A and angle B are complementary.

4 0
2 years ago
Write the polar equation in rectangular form.
zhuklara [117]

Answer:

Step-by-step explanation:

The identities you need here are:

r=\sqrt{x^2+y^2}  and   r^2=x^2+y^2

You also need to know that

x = rcosθ  and

y = rsinθ

to get this done.

We have

r = 6 sin θ

Let's first multiply both sides by r (you'll always begin these this way; you'll see why in a second):

r² = 6r sin θ

Now let's replace r² with what it's equal to:

x² + y² = 6r sin θ

Now let's replace r sin θ with what it's equal to:

x² + y² = 6y

That looks like the beginnings of a circle.  Let's get everything on one side because I have a feeling we will be completing the square on this:

x^2+y^2-6y=0

Complete the square on the y-terms by taking half its linear term, squaring it and adding it to both sides.

The y linear term is 6.  Half of 6 is 3, and 3 squared is 9, so we add 9 in on both sides:

x^2+(y^2-6y+9)=9

In the process of completing the square, we created within that set of parenthesis a perfect square binomial:

x^2+(y-3)^2=9

And there's your circle!  Third choice down is the one you want.

Fun, huh?

5 0
2 years ago
The label on the cars antifreeze container claims to protect the car between -30C and 130C. To convert Celsius temperature to Fa
RideAnS [48]
C = 5/9(F - 32)

C = -30
-30 = 5/9(F - 32)
-30 = 5/9F - 160/9
-30 + 160/9 = 5/9F
-270/9 + 160/9 = 5/9F
-110/9 = 5/9F
-110/9 * 9/5 = F
- 990/45 = F
- 22 = F

C = 5/9(F - 32)
C = 130

130 = 5/9F  - 160/9
130 + 160/9 = 5/9F
1170/9 + 160/9 = 5/9F
1330/9 = 5/9F
1330/9 * 9/5 = F
11970/45 = F
266 = F

So in Fahrenheit temp, the the car is protected between -22 F and 266 F

4 0
3 years ago
Read 2 more answers
MIKE IS CHOOSING A 3 LETTER PASSWORD FROM THE LETTERS A, B, C, AND D. THE PASSWORD CANNOT HAVE THE SAME LETTER REPEATED IN IT. H
e-lub [12.9K]

There are 4 possible letters to start with.

The pass word is 3 letters long.

The first letter can be A, B, C, D = 4 different letters.

The 2nd letter can be 4 - 1 = 3 letters ( Can't have repeats)

The 3rd letter can be 3-1 = 2 letters ( no repeats)

Number of possible passwords = 4 x 3 x 2 = 24




4 0
2 years ago
Help also please explain thank you
Ne4ueva [31]
10 yards. The amount of yards is 1 third the amount of feet so you just divide 30 by 3 to get the amount of yards
5 0
2 years ago
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