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Yuki888 [10]
2 years ago
12

Find the distance between the points 10,2 and 5,-10

Mathematics
1 answer:
melomori [17]2 years ago
3 0
The distance between the points is 13
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Which of the following fractions can be represented by a terminating decimal?
Karo-lina-s [1.5K]

Answer:

B) 13/8

Step-by-step explanation:

First we need to understand what a terminating decimal is: It is a decimal that has a finite number of decimal values that are not zero, meaning that its decimal values end at some point

Let's go through our possible answers with trial and error:

A) 8/9

8/9 = 0.888888888888...9 (Incorrect)

B) 13/8

13/8 = 1.625 (Correct)

C) 4/3

4/3 = 1.3333333333...4 (Incorrect)

D) 6/11

6/11 = 0.545454545454...54 (Incorrect

13/8 is our answer because in decimal form it is a terminating decimal.

8 0
2 years ago
Ratio of 15 days over 3 jobs
Ann [662]
You need to divide the two numbers. 15/3 = 5

For every 5 days you do 1 job

5:1
7 0
3 years ago
Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.
KiRa [710]

Answer:

The sum is 493.4

Step-by-step explanation:

In order to find the value of the sum, you have to apply the geometric series formula, which is:

\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.

The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.

In this case:

a=40

b= 1.005

n=12 (because the first term is 40 and the last term is 40(1.005)^11 )

Replacing in the formula:

\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}

Solving it:

The sum is 493.4

4 0
3 years ago
Bennett and Jarrett are both saving money to buy a new dirtbike’s
lions [1.4K]
THERES NO MATH SO I CANT ANSWER YOUR QUESTION
8 0
3 years ago
Lou has a solid clay brick in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of
Rzqust [24]

The weight of solid clay brick is 66.465 ounces, if solid brick with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches and the clay weighs 1.055 ounces per cubic inch.

Step-by-step explanation:

The given is,

               A solid clay brick in the shape of a rectangular prism.

               A length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches.

               The clay weighs 1.055 ounces per cubic

Step:1

              Formula for volume of rectangular prism,

                                  Volume, V= whl...................(1)

            Where, w - Width of the rectangular prism

                          h - Height of rectangular prism

                           l - Length of rectangular prism

            From the given,

                         w = 3.5 inches

                          h = 2.25 inches

                           l =  8 inches

           Equation (1) becomes,

                                              = (3.5)(2.25)(8)

                                              = (7.875)(8)

                                              = 63

                            Volume, V = 63 cubic inches

Step:2

          Weight of brick = Volume of brick × Weight per cubic inch

                                     = (63) (1.055)

                                     = 66.465 ounces

          Weight of brick = 66.465 ounces

Result:

            The weight of solid clay brick is 66.465 ounces, if solid brick with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches and the clay weighs 1.055 ounces per cubic inch.

7 0
2 years ago
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