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Kay [80]
3 years ago
11

Please help.

Mathematics
1 answer:
S_A_V [24]3 years ago
6 0
3. tan(α) = height/distance
distance = height/tan(α)
distance = (648 m)/tan(13°) ≈ 1399.5 m

6. when y = |x| is translated 6 units down, 6 is subtracted from the y-value:
.. y = |x| -6

10. In point-slope form, the line through point (h, k) with slope m is
.. y -k = m(x -h)
For (h, k) = (10, -9) and m = -2, you have
.. y +9 = -2(x -10)
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What is the product (-6a^3b+2ab^2
Irina-Kira [14]

you have to apply this formula (a+b)(c-d)=ac-ad+bc-bd

-6a^3*b*5a^2+6a^3b*2ab+6a^3b*b+2ab^2*5a^2-2ab^2*2ab-2ab^2*b=

-30a^5*b+12a^4b^2+6a^3b^2+10a^3b^2-4a^2b^3-2ab^3

4 0
3 years ago
A study of consumer smoking habits includes A people in the 18-22 age bracket (B of whom smoke), C people in the 23-30 age brack
madreJ [45]

The correct question is:

A study of consumer smoking habits includes 167 people in the 18-22 age bracket (59 of whom smoke), 148 people in the 23-30 age bracket (31 of whom smoke), and 85 people in the 31-40 age bracket (23 of whom smoke). If one person is randomly selected from this sample, find the probability of getting someone who is age 23-30 or smokes

Answer:

The probability of getting someone who is age 23-30 or smokes = 0.575

Step-by-step explanation:

We are given;

Number consumers of age 18 - 22 = 167

Number of consumers of ages 22 - 30 = 148

Number of consumers of ages 31 - 40 = 85

Thus,total number of consumers in the survey = 167 + 148 + 85 = 400

We are also given;

Number consumers of age 18 - 22 who smoke = 59

Number of consumers of ages 22 - 30 who smoke = 31

Number of consumers of ages 31 - 40 who smoke = 23

Total number of people who smoke = 59 + 31 + 23 = 113

Let event A = someone of age 23-30 and event B = someone who smokes. Thus;

P(A) = 148/400

P(B) = 113/400

P(A & B) = 31/400

Now, from addition rule in sets which is given by;

P(A or B) = P (A) + P (B) – P (A and B)

We can now solve the question.

Thus;

P(A or B) = (148/400) + (113/400) - (31/400)

P(A or B) = 230/400 = 0.575

4 0
3 years ago
How to calculate intrest
Goryan [66]

Answer:

You can calculate Interest on your loans and investments by using the following formula for calculating simple interest: Simple Interest= P x R x T ÷ 100, where P = Principal, R = Rate of Interest and T = Time Period of the Loan/Deposit in years.

Formula: Simple Interest=P×r×t where: P=Principal amount; r=Annual interest rate; t=...

Principal Amount: Principal Amount remains constant on Simple Interest

Meaning: Simple Interest is calculated on the Principal Amount for the entire tenure

Calculation: It is easy to calculate Simple Interest

8 0
2 years ago
Read 2 more answers
Find the volume of the cylinder. Round your answer to the nearest tenth.
PilotLPTM [1.2K]
15184.6

V = pi x r^ 2
H = pi x 13^2 x 28.6
8 0
2 years ago
Read 2 more answers
00:00
Irina-Kira [14]

Answer:

Joseph is correct

Step-by-step explanation:

I cannot see the options in the drop-down menus. Even though, Joseph is correct because the difference between the longest length (which is 12 ft) and shortest length (which is 9 1/2 ft) is 12 - 9 1/2 = 2 1/2 ft. It doesn't matter how many ropes measure those lengths.

8 0
3 years ago
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