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3 years ago

NEED HELP ASAP!!!!!!!

Mathematics

1 answer:

sertanlavr [38]3 years ago

8 0

ANSWER: x > -6
1. subtract 12 from each side
2. divide by -3 which will make the sign flip

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Help please im marking brainliest

Strike441 [17]

The surface area of the triangular prism is of 140 cm².

<h3>What is the surface area of a prism?</h3>

It is the sum of the areas of all faces of a prism. In this problem, the prism has these following faces:

One rectangle of dimensions 8 cm and 6 + 4 + 5 = 15 cm.

Two right triangles with sides 4 cm and 5 cm.

For a rectangle, the area is given by the multiplication of the dimensions, hence:

Ar = 8 x 15 = 120 cm²

For each right triangle, the area is given by half the multiplication of the sides, hence:

At = 2 x 0.5 x 4 x 5 = 20 cm².

Then the surface area of the prism is:

S = 120 cm² + 20 cm² = 140 cm².

More can be learned about surface area at brainly.com/question/28123954

#SPJ1

3 0

2 years ago

the length of rectangle exceeds its breadth by 4 cm if the length and breadth is increased by 3 cm the area of the new rectangle

gizmo_the_mogwai [7]

Answer:

The length and breadth are 14 cm and 10 cm

3 0

3 years ago

Divide 2 by 7 and turn into a fraction

Marizza181 [45]

3/5 i believe. if you take 7 and divide it by 2 its 3.5.

8 0

3 years ago

Consider a data set containing the following values: 70 65 71 78 89 68 50 75 The mean of the preceding values is 70.75. The devi

Leokris [45]

Answer:

If this is the sample data, the sample variance is 125.07 and the sample standard deviation is 11.18

If this is a population data, the population variance is 109.44 and the population standard deviation is 10.46

Step-by-step explanation:

We are given the following data-set:

70, 65, 71, 78, 89, 68, 50, 75

Deviations from the mean

–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2

Sample size, n = 8

Sample:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

$s = \sqrt{\dfrac{875.5}{7}} = 11.18$

$\text{ Sample variance} = s^2 = 125.07$

Population:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

$\sigma = \sqrt{\dfrac{875.5}{8}} = 10.46$

$\text{ Population variance} = \sigma^2 = 109.44$

7 0

3 years ago

Which is a simplified form of the following expression? 6c^2+2.5d - d + 2c^2-3d

melisa1 [442]

By collecting like terms we have:

$6 {c}^{2} + 2 {c}^{2} + 2.5d - d - 3d \\ \\ 8 {c}^{2} - 1.5d$

3 0

2 years ago