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Elena L [17]
2 years ago
15

Find the measure of Arc AC in the figure below. Explain your answer by showing your

Mathematics
1 answer:
Gekata [30.6K]2 years ago
4 0

Answer: 21

Step-by-step explanation:

arc AC = 2b

3x + 9 = 2(3x - 1.5)

3x + 9 = 6x - 3

solve for x

6x - 3x = 9 + 3

3x = 12

x = 4

substitute in the 2 equations

3 (4) - 1.5 = 10.5

which means that if we substitute in the second equation we should get 21

3(4) + 9 = 21

so arc AC= 21 degrees

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Need to know soon! please help​
Inga [223]

Answer:

59

Step-by-step explanation:

62+59= 121

180-121= 59

3 0
3 years ago
Read 2 more answers
Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probabili
3241004551 [841]

Answer:

P(p>0.43) = 0.0436

Step-by-step explanation:

Given

p = 40\% -- proportion of baseball players

n = 781 --- selected sample

Required

Determine P(p>43%)

First, calculate the z score using:

Z = \frac{\^{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

This gives:

Z = \frac{48\%-40\%}{\sqrt{\frac{40\% *(1 - 40\%)}{781}}}

Convert % to decimal

Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *(1 - 0.40)}{781}}}

Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *0.60}{781}}}

Z = \frac{0.43-0.40}{\sqrt{\frac{0.24}{781}}}

Z = \frac{0.03}{\sqrt{0.00030729833}}

Z = \frac{0.03}{0.01752992669}

Z = 1.71

So:

P(p>0.43) = P(Z>1.71)

P(p>0.43) = 1 - P(Z

P(p>0.43) = 1 - 0.9564

P(p>0.43) = 0.0436

5 0
3 years ago
Twelve is no less than the sum of a number n and 3
lawyer [7]
Well n could equal 9 and they would both be the same thing but if n equaled 6 then it would be less but if it equaled 11 then it would be over 12
6 0
4 years ago
Read 2 more answers
Only 7 and 8 I’m so confused
PSYCHO15rus [73]

Answer:

7) 178,978- 70,000

7) 827,717- 700

7) 257,708- 7,000

7) 426,672- 70

8) B- 121,211

Step-by-step explanation:

7) 178,978- the underlined number is 7 which the ten-thousand place. The underlined 7 is 70,000.

7) 827,717- The underlined 7 is is in the hundreds place which is 700.

7) 426,672- The underlined 7 is in the thousand place which is 7,000.

7) 426,672- The underlined 7 is in tens place which is 70.

8) The answer is B because when you correctly put the numbers in order it equals 121,211. For example, "One hundred twenty-one thousand" is 121,000. The next part says "two hundred eleven" which is 211. When you combine both parts together it equals 121,211.

8 0
3 years ago
An object is launched upward at 64 ft/sec from a platform that is 80 feet high. What is the object's maximum height if the equat
daser333 [38]
The object's maximum height is the same as the y-coordinate of the vertex.To find that, first, finds the x- coordinate(t).You can find it by:
first identifying a,b and c.Multiply the b by negative 1 or simply change its sign and divide it by 2a.Afterward, plug the answer in the equation to find y, your answer.
(ax+bx²+c=-16t²+64t+80). Therefore, a=-6, b= 64 and c=80
-64/2(-16)=-64/-32=2
-16(2)²+64(2)+80=144 ft
So the maximum height of the object, when launched 64ft/sec from a platform that is 80 ft high, is 144 ft
Hope this helps(there are other methods)
4 0
3 years ago
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