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3 years ago

Find the thirteenth term of an arithmetic sequence if the first term is 3 and the common difference is 3

Mathematics

1 answer:

lesya692 [45]3 years ago

8 0

Answer:

Step-by-step explanation:

Formula for the nth term (an) = a1 + d(n - 1) where a1 = the first term and d = common difference.

So here the 13th term = 3 + 3(13 - 1)

= 3 + 3*12

= 39 (answer).

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What is the measure of angle B in the figure below?

Sveta_85 [38]

The answer is 45 degrees because we know it is less than 90 degrees but more than 30 degrees so there is your answer

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2 years ago

From a point on the ground 47ft from the base of a tree, the angle

Orlov [11]

Answer:

33 ft

Step-by-step explanation:

In a diagram of the geometry, you see that the angle of elevation is opposite the triangle leg representing the tree height, and is adjacent to the triangle leg representing distance from the tree.

The tangent ratio relates these lengths to the angle:

Tan = Opposite/Adjacent

Opposite = Adjacent×Tan

tree height = (47 ft)tan(35°) ≈ 33 ft

The height of the tree is about 33 feet.

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4 years ago

On the blueprint of a house and 35 mm represents 10 m an actual length of a living room is 9 m what is the length on the bluepri

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Step-by-step explanation:I hope this helps

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3 years ago

1.) Shapera is dividing 6,324 by 12. The first step in her calculation is shown here. What is the best explanation of what the n

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Answer 2 is 12

Step-by-step explanation:

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7 0

2 years ago

James has a bag 77 of nickels and dimes. The total value of coins is $6.60. How many dimes does James have?

tatuchka [14]

James has 55 dimes in the bag

Step-by-step explanation:

The given is:

James has in a bag 77 of nickels and dimes
The total value of coins is $6.60

We need to find how many dimes James has

Assume that the number of nickels is x and the number of

dimes is y in the bag

∵ There are x nickels in the bag

∵ There are y dimes in the bag

∵ There are 77 coins in the bag

∴ x + y = 77 ⇒ (1)

∵ 1 nickel = 5 cents

∴ The value of nickles in the bag = 5x cents

∵ 1 dime = 10 cents

∴ The value of dimes in the bag = 10y cents

∵ The total value of coins is $6.60

∵ 1 dollar = 100 cents

∴ $6.60 = 6.60 × 100 = 660 cents

∴ 5x + 10y = 660 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -770 ⇒ (3)

- Add equations (2) and (3)

∴ -5x = -110

- Divide both sides by -5

∴ x = 22

Substitute the value of x in equation (2) to find y

∵ 22 + y = 77

- Subtract 22 from both sides

∴ y = 55

∴ The number of dimes is 55

James has 55 dimes in the bag

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

6 0

4 years ago