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kari74 [83]
3 years ago
13

(13.) What is the first term if

Mathematics
1 answer:
Softa [21]3 years ago
5 0

Answer:the first term is 6

Step-by-step explanation:

We would apply the formula for determining the sum of n terms of an arithmetic sequence. It is expressed as

Sn = n/2(a + l)

Where

n represents the number of terms in the arithmetic sequence.

l represents the last term in the arithmetic sequence.

a represents the first term in the arithmetic sequence.

From the information given,

l = 204

n = 12

Sn = 1260

We want to determine a. Therefore,

1260 = 12/2(a + 204)

1260 = 6(a + 204)

a + 204 = 1260/6 = 210

a = 210 - 204 = 6

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Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Debnil have?
forsale [732]

Debnil have 2 tablespoons to salt.

Step-by-step explanation:

Given,

Number of teaspoons of salt = 6

Ratio of teaspoons to tablespoons = 3:1

Let,

x be the number of tablespoon of salt for 6 teaspoons.

Ratio of teaspoons to tablespoons = 6:x

Using proportion

Ratio of teaspoons to tablespoons :: Ratio of teaspoons to tablespoons

3:1::6:x

Product of mean = Product of extreme

6*1=3*x\\6=3x\\3x=6

Dividing both sides by 3

\frac{3x}{3}=\frac{6}{3}\\x=2

Debnil have 2 tablespoons to salt.

Keywords: ratio, proportion

Learn more about proportion at:

  • brainly.com/question/11018983
  • brainly.com/question/11145277

#LearnwithBrainly

5 0
3 years ago
What is the area of the trapezoid to the nearest tenth? <br> PICTURE BELOW ⬇⬇⬇⬇
Nastasia [14]

Answer:

  62.4 ft²

Step-by-step explanation:

The unmarked horizontal dimension at the bottom of the triangle is ...

  (8 ft)sin(30°) = 4 ft

The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...

  (8 ft)cos(30°) ≈ 6.93 ft

Then the area of the trapezoid is given by the formula ...

  A = (1/2)(b1 +b2)h

  A = (1/2)((4 ft+7 ft) +(7 ft))(6.93 ft) ≈ 62.4 ft²

_____

The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.

  Sin = Opposite/Hypotenuse   ⇒   Hypotenuse×Sin = Opposite

  Cos = Adjacent/Hypotenuse   ⇒   Hypotenuse×Cos = Adjacent

6 0
3 years ago
According to the most recent census, the average total yearly expenses of households in Wake County is $45,900. It is also known
Anni [7]

Answer:

a. The sampling distribution of the sample mean will have a smaller standard deviation than the population.

b. The sampling distribution of the sample mean will have a different standard deviation than the population.

c. The shape of the sampling distribution of the sample mean will be skewed right.

Step-by-step explanation:

4 0
3 years ago
A circular cookie cutter has a 2.5 inch radius what is the area of a cookie cut from this cutter
scZoUnD [109]
We know that

[area of circular cookie]=pi*r²
r=2.5 in
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the answer is
the area of circular cookie is 19.63 in²
5 0
4 years ago
5 times a number increased by 2 is the same as 8 more than 3 times the number. Find the number
wariber [46]

Answer:

5 times a number increased by 2 is the same as 8 more than 3 times the number.

Step-by-step explanation:

8 0
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