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zhuklara [117]
3 years ago
12

Solve the inequality |r+3|> 7

Mathematics
2 answers:
Dmitry [639]3 years ago
6 0
For
|a|>b, solve for the value that make a true for
a>b and a<-b


|r+3|>7
solve
r+3>7 and r+3<-7
minus 3 both sides in both equations
r>4 and r<-10


the solution is r>4 or r<-10, basically r can be any real number except for from -10 to 4


r>4 or r<-10
Vinil7 [7]3 years ago
4 0
Absolute value so the answer can be positive or negative
R+3>7
-3>-3
R>4
Or
R-3>7
+3>+3
R>10

Answer
410
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3 years ago
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Find the cosine of angle B.
Alexandra [31]

\boxed { \text {Cosine Rule : } a^2 = b^2 + c^2 - 2bc \cos(A) }

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9² = 12² + 15² - 2 (12) (15) cos (B)

81 = 144 + 225 - 360 cos(B)

81 = 369 - 360 cos (B)

360 cos (B) = 369 - 81

360 cos (B) = 288

cos (B) = 0.8

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Answer: Cosine B = 0.8

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\boxed { \text {Cosine Rule : } a^2 = b^2 + c^2 - 2bc \cos(A) }

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12² = 15² + 9² - 2 (15)(9) cos (A)

144 = 225 + 81 - 270 Cos A

144 = 306 - 270 Cos A

270 Cos A = 162

Cos A = 3/5 or 0.6

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Answer: Cosine Angle A = 3/5

4 0
3 years ago
the lengths of two sides of a triangle are 10 and 24. the third side is x how many whole number possible for x
Aleonysh [2.5K]

Answer:

  19

Step-by-step explanation:

The triangle inequality tells you the possible values of x are ...

  24 -10 < x < 24 +10

  14 < x < 34

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6 0
2 years ago
The temperature went from -12°F to 18°F. Which of the following expressions could be used to find how much the temperature chang
jeyben [28]

Answer:

4. 18-(-12)

Step-by-step explanation:

so i basically took 12 and added that to 18 [and got 30] to find out how many degrees it went up and then i  solved each equation till i got 30. I hope this helped and that you could understand the way i did it.

3 0
2 years ago
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musickatia [10]

d

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3 years ago
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