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VLD [36.1K]
3 years ago
15

FOR 10 POINTS Which of the following arithmetic sequences have a common difference of 2 1/2

Mathematics
1 answer:
posledela3 years ago
8 0

Answer: -4,-1.5,1,3.5,6,8.5

Step-by-step explanation: You can check that the difference of any of its consecutive terms is always equal to 2.5.

8.5 - 6 = 2.5

-1.5 - (- 4) = 2.5

3.5 - 1 = 2.5

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A boat is heading towards a lighthouse, whose beacon-light is 136 feet above the
alexandr1967 [171]

The distance between the points A to B is 899.9 feet. After rounding off the  nearest integer we get 900 feet as the final answer.

Given we know that CD is perpendicular to AD.

The distance between CD is 139 feet.

As from points A the boat's crew measure the angle of elevation to the beacon as 6°

therefore, m∠A = 6°

Another time the angle of elevation is measured from point B which is 19°.

therefore, m∠DBC = 19°

tan 19° = CD/BD

BD = CD/tan19°

BD = 136/tan 19°

now for tan 6° = CD/AD (tangent is opposite over adjacent)

AD = CD/tan 6°

AD = 136/tan 6°

AB = AD ₋ BD

AB = 136/tan 6° ₋ 136/tan 19°

AB = 1295.2 ₋ 395.3

AB = 900 feet

hence the distance from point A to B is 900 feet.

Learn more about Heights and distances here:

brainly.com/question/2004882

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5 0
2 years ago
Describe how to find the sums -4+2 and -4+(-2) on a number line.
kifflom [539]

For -4+2, plot -4, then move to the right 2 spaces. You should land on -2.

For -4+(-2), plot -4 then move the left 2 spaces. You should land on -6.

3 0
3 years ago
Read 2 more answers
Given g(x) = -x + 5, solve for a when g(x) = -2.
IceJOKER [234]

Answer:

x=7

Step-by-step explanation:

-2 = -x+5

x=7

7 0
3 years ago
Read 2 more answers
A box is 12 inches long, 5 inches wide, and 4 inches wide high. What is the surface area, in square inches (sq. in.) of the clos
Llana [10]
The area of the box is 240 sq inches

8 0
3 years ago
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Which of the following are ordered pairs for the equation y = 1/8x + 11
Anna11 [10]

Answer:

(0, 11) is a solution.

(8, 12)  is a solution.

(16, 13) is a solution

(1, 89/8)  

(2,  45/4)

Step-by-step explanation:

y = 1/8x + 11

for this equation....

y = (1/8) x + 11

let x = 0  get

y = 0 + 11 = 11

(0, 11) is a solution.

(8, 12)  is a solution.

(16, 13) is a solution

(1, 89/8)   because    y = 1/8 + 11 = 1/8 + 88/8 = 89/8

(2,  45/4)

3 0
3 years ago
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