There's a 5/9 chance that you spin an odd and a 1/2 chance you get heads and a 1/9 chance you get a 3 on the spinner multiply the fractions together and get 5/162.

8 0

3 years ago

The optimal operating temperature of a given car engine is within 10°F of 190°F. Write an absolute value

KiRa [710]

|x - 190|≤10

Solved: 180≤x≤200

5 0

3 years ago

Both circle Q and circle R have a central angle measuring 140°. The area of circle Q's sector is 25π m2, and the area of circle

taurus [48]

Solution:

we are given that

Both circle Q and circle R have a central angle measuring 140°. The area of circle Q's sector is 25π m^2, and the area of circle R's sector is 49π m^2.

we have been asked to find the ratio of the radius of circle Q to the radius of circle R?

As we know that

Area of the sector is directly proportional to square of radius. So we can write

$Area \ \ \alpha \ \ r^2\\ \\ \Rightarrow A=kr^2\\ \\ \text{where k is some proportionality constant }\\ \\ \Rightarrow \frac{A_1}{A_2}=\frac{r_1^2}{r_2^2}\\ \\ \Rightarrow \frac{r_1^2}{r_2^2}=\frac{A_1}{A_2}\\ \\ \Rightarrow \frac{r_1^2}{r_2^2}=\frac{25 \pi}{49 \pi}\\ \\ \Rightarrow \frac{r_1}{r_2}=\sqrt{\frac{25 \pi}{49 \pi}} \\ \\ \Rightarrow \frac{r_1}{r_2}=\frac{5}{7} \\$

7 0

3 years ago

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Please help quickly! no bots!

Sliva [168]

Answer:

Question 2: 4th answer, Question 3: 3rd answer

Step-by-step explanation:

I think that is correct hope it helps!

3 0

3 years ago

Read 2 more answers