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Alexus [3.1K]
2 years ago
14

This problem has two answer to it, Help!

Mathematics
1 answer:
OverLord2011 [107]2 years ago
6 0

as you should already know, an absolute value expression, is in effect a piece-wise expression, since it has a ± versions.


\bf \cfrac{|-2-2r|}{3}=4\implies  \begin{cases} \cfrac{+(-2-2r)}{3}=4\\\\ \cfrac{-(-2-2r)}{3}=4 \end{cases}\\\\[-0.35em] ~\dotfill\\\\ \cfrac{-2-2r}{3}=4\implies -2-2r=12\implies -2-12=2r\implies -14=2r \\\\\\ \cfrac{-14}{2}=r\implies \boxed{-7=r}\\\\[-0.35em] ~\dotfill\\\\ \cfrac{-(-2-2r)}{3}=4\implies \cfrac{-2-2r}{3}=-4\implies -2-2r=-12 \\\\\\ -2+12=2r\implies 10=2r\implies \cfrac{10}{2}=r\implies \boxed{5=r}

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Look ate the picture down below, and please help me i would really appreciate it
zavuch27 [327]

Answer:

  46°

Step-by-step explanation:

When secants intersect each other and a circle, the external angle (A) is half the difference of the intercepted arcs:

  ∠A = (arcDC -arcBC)/2

  12° = (arcDC -22°)/2 . . . . . . . fill in the given numbers

  24° = arcDC -22° . . . . . . . . . multiply by 2

  46° = arcDC . . . . . . . . . . . . . add 22°

5 0
3 years ago
28 is what percent of 50?
nikdorinn [45]

Answer:

go to 100

56 is 56 percent of 100

28 is 56 percent of 50

Step-by-step explanation:

6 0
2 years ago
An office needs to order carpet for a waiting room measuring 30 ft. by 24ft. The carpet is sold in square yards. How many square
Dahasolnce [82]
First thing first is to know that there are 3 feel in one yard
To find the perimeter of the room do 30 times 24 which is 720 divided by 9 ( because 3 feet times 3 feet is nine which represents the square yard) to get to square yards is 80
The answer is 80 square yards
4 0
2 years ago
The table shows Linda's monthly expenses . Which list shows the expenses in order from greatest to least amount of the monthly b
rosijanka [135]
ANWSER
food, other, utilities, car, rent

EXPLANATION
u=13%
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6 0
3 years ago
Read 2 more answers
So I'm currently doing online school due to external circumstances and haven't done this type of problem before. I need help fin
Ann [662]

Answer:

  DE ≈ 14.91

Step-by-step explanation:

Make use of the relationships between sides and angles in a right triangle. These are summarized by the mnemonic SOH CAH TOA:

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

__

The side DE is opposite the angle 19°, so the sine or tangent relation will be involved. The sine relation requires you know hypotenuse EF. The tangent relation requires you know adjacent side DF.

The only common side between triangles CDF and DEF is side DF. That side is opposite the given 61° angle. The given side length (CF = 24) is adjacent to the 61° angle.

This means you have enough information to use these relations:

  tan(61°) = DF/CF = DF/24

  DF = 24·tan(61°)

and

  tan(19°) = DE/DF

  DE = DF·tan(19°) = (24·tan(61°))·tan(19°) . . . . . use DF from above

  DE ≈ 24(1.804048)(0.344328) ≈ 14.908

The length of DE is about 14.91.

8 0
2 years ago
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