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Cloud [144]
3 years ago
11

If 12 gallon of paint covers 18 of a wall, then how many quarts of paint are needed for the entire wall?

Mathematics
1 answer:
marusya05 [52]3 years ago
4 0

Answer: 16 quarts

Step-by-step explanation:

There are 4 quarts per 1 gallon.

You need 4 gallons total to cover the wall.

4 x 4=16

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What is the volume of 5cm 2cm 8cm.
Soloha48 [4]

Answer:

80 cm

Step-by-step explanation:

(5 x 8) x 2

40 x 2

80 cm

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Six friends are going to sit together in a roller coaster car that has six seats in how many different arrangements can they sit
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They can sit in 6 different arrangements
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In a school survey, three homerooms are chosen and 10 students from each homeroom are randomly chosen to complete the survey. Id
lesya [120]

Answer:

This sampling method used in this question is the stratified sampling method.

Step-by-step explanation:

There are about 5 known sampling methods.

- Random Sampling

In random sampling, each member of the population has an equal chance of being surveyed. All the students are given a number and random numbers are generated to pick the students to be surveyed.

- Systematic sampling

This is easier than random sampling. In systematic sampling, a particular number, n, is counted repeatedly and each of the nth student is picked to be sampled.

- Convenience Sampling

This is the worst sampling technique. It is also the easiest. In Convenience sampling, the surveyor just surveys the first set of students that they find.

- Cluster sampling

Cluster Sampling divides the population into groups which are called clusters or blocks. The clusters are selected randomly, and every element in the selected clusters is surveyed.

- Stratified Sampling

Stratified sampling divides the population into groups called strata. A sample is taken from all or some of these strata using either random, systematic, or convenience sampling. This is evidently the answer to the question as the students are divided into homerooms (strata) and samples are now randomly taken from 3 randomly selected strata.

Hope this Helps!!!

6 0
3 years ago
If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle?
Leni [432]

Answer:

1.6 units

Step-by-step explanation:

Coordinates of A : (-1,1)

Coordinates of B : (3,2)

Coordinates of C :( -1,-1)

Now to find the length of the sides of the triangle we will use distance formula :

d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

To find length of AB

A = (x_1,y_1)=(-1,1)

B= (x_2,y_2)=(3,2)

Now substitute the values in the formula:

d =\sqrt{(3-(-1))^2+(2-1)^2}

d =\sqrt{(4)^2+(1)^2}

d =\sqrt{16+1}

d =\sqrt{17}

d =4.12

Now to find length of BC

B= (x_1,y_1)=(3,2)

C = (x_2,y_2)=(-1,-1)

Now substitute the values in the formula:

d =\sqrt{(-1-3)^2+(-1-2)^2}

d =\sqrt{(-4)^2+(-3)^2}

d =\sqrt{16+9}

d =\sqrt{25}

d =5

Now to find length of AC

A = (x_1,y_1)=(-1,1)

C = (x_2,y_2)=(-1,-1)

Now substitute the values in the formula:

d =\sqrt{(-1-(-1))^2+(-1-1)^2}

d =\sqrt{(0)^2+(-2)^2}

d =\sqrt{4}

d =2

Thus the sides of triangle are of length 4.12, 5 and 2

Now to find area of triangle we will use heron's formula :

To calculate the area of given triangle we will use the heron's formula :

Area = \sqrt{s(s-a)(s-b)(s-c)}

Where s = \frac{a+b+c}{2}

a,b,c are the side lengths of triangle  

a = 4.12

b=5

c=2

Substitute the values

Now substitute the values :

s = \frac{4.12+5+2}{2}

s =5.56

Area = \sqrt{5.56(5.56-4.12)(5.56-5)(5.56-2)}

Area = 3.99

Now to find the height of altitude corresponding to side BC

So, formula of area of triangle =\frac{1}{2} \times Base \times Height

Since Area = 3.99 square units

So,3.99 =\frac{1}{2} \times BC \times Height

So,3.99 =\frac{1}{2} \times 5\times Height

3.99 =2.5 \times Height

\frac{3.99}{2.5}=Height

1.596=Height

Thus the altitude corresponding to the BC is of length 1.596 unit  ≈ 1.6 units

Thus Option D is correct.

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