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nignag [31]
2 years ago
14

Use an equation and combining like terms to find the value of x in the figure below:

Mathematics
1 answer:
AlladinOne [14]2 years ago
5 0

Answer:

x = 50°

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Geometry</u>

  • All angles in a triangle add up to 180°

Step-by-step explanation:

<u>Step 1: Set up equation</u>

x° + 2(65°) = 180°

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Multiply:                    x + 130 = 180
  2. Isolate <em>x</em>:                   x = 50°
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A merchant has 120 litres and 180 litres of two kinds of oil. He wants to sell the oil by filing the two kinds of equal volumes.
ANEK [815]

Answer:

HCF of 120 and 180 is 60 and hence a measuring tin of 60 litre volume should be bought.

3 0
3 years ago
"is it appropriate to use the normal approximation for the sampling distribution of"
Katyanochek1 [597]

Answer: Normal approximation can be used for discrete sampling distributions, such as Binomial distribution and Poisson distribution if certain conditions are met.

Step-by-step explanation: We will give conditions under which the Binomial and Poisson distribitions, which are discrete, can be approximated by the Normal distribution. This procedure is called normal approximation.

1. Binomial distribution: Let the sampling distribution be the binomial distribution B(n,p), where n is the number of trials and p is the probability of success. It can be approximated by the Normal distribution with the mean of np and the variance of np(1-p), denoted by N(np,np(1-p)) if the following condition is met:

n>9\left(\frac{1-p}{p}\right)\text{ and } n>9\left(\frac{p}{1-p}\right)

2. Poisson distribution: Let the sampling distribution be the Poisson distribution P(\lambda) where \lambda is its mean. It can be approximated by the Normal distribution with the mean \lambda and the variance \lambda, denoted by N(\lambda,\lambda) when \lambda is large enough, say \lambda>1000 (however, different sources may give different lower value for \lambda but the greater it is, the better the approximation).

5 0
3 years ago
a leaky faucet is losing water and it is filling a 5 gallon bucket every 12 hours. At the rate, how many gallons of water will t
Alina [70]

Answer:

20 gallons

Step-by-step explanation:

First start off by dividing 48 by 12 to see how many times 12 goes into 48.

48 / 12 = 4

now that you know that 12 goes into 48 4 times, multiply 4 by 5 to see how many gallons the leaky faucet will fill in 48 hours.

4 x 5 = 20

therefore the answer is 20 gallons

I hope this helps ^^

3 0
2 years ago
In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is
aalyn [17]

Answer:

Correct option: 2 -> sqrt(37)

Step-by-step explanation:

To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.

The equation of the law of cosines is:

c^2 = a^2 + b^2 - 2 * a * b * cos(C)

So, we have that:

c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)

c^2 = 49 + 9 - 21

c^2 = 37

c = sqrt(37)

Correct option: 2

8 0
3 years ago
HELP NEED ANSWER FOR HOMEWORK
Aleks04 [339]

Answer:

596.032

Step-by-step explanation:

The answer is typed wrong.

Using a calculator: 6.4 x 6.7 x 13.9 = 596.032

Tell your teacher that answer is not there. It's typed wrong.

Hoped this helped! :)

5 0
3 years ago
Read 2 more answers
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