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3 years ago

Solve for q. –10 + 10q = 9q

Mathematics

2 answers:

Kitty [74]3 years ago

6 0

Answer:

q= 10

Step-by-step explanation:

9q - 10q = -10

-q = -10

q= -10/-1 = 10

ASHA 777 [7]3 years ago

3 0

Answer:

q=10

Step-by-step explanation:

subtract 10q from both sides than divide-10 by -1

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Six pyramids are shown inside of a cube. The height of the cube is h units. Six identical square pyramids can fill the same volu

Amiraneli [1.4K]

The height of squared pyramid is $\frac{1}{3}h$ unit.

<h3>What is the volume of a cube?</h3>

A cube is a solid three-dimensional object with six square faces or sides, three of which meet at each vertex. One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges.

Volume of cube $= (side)^3 \ unit^3$

Given the height of cube is $h$ unit.

Volume of cube is $h^3 \ unit^3$

Let the height of squared pyramid is $x$ unit

Volume of squared pyramid is $\frac{1}{3} h^{2} \times x \ unit^3$

According to the question, we have

Volume of cube = $6 \times$ volume of squared pyramid

$\Rightarrow h^3=6 \times \frac{1}{3}h^2 \times x\\\Rightarrow h^3=2 \ h^2 \times x\\\Rightarrow h=2x\\\Rightarrow x= \frac{1}{2}h$

Therefore, the height of squared pyramid is $\frac{1}{3}h$ unit.

To learn more about squared pyramid from the given link

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8 0

2 years ago

Hey can you please help me posted picture of question :)

lyudmila [28]

Answer:
The roots are: √11 + 2 and -√11 + 2

Explanation:
First, we would put the equation in the standard form which is as follows:
ax² + bx + c = 0

This can be done as follows:
x² - 4x + 4 - 11 = 0
x² - 4x - 7 = 0

By comparison:
a = 1
b = -4
c = -7

Now, to get the roots, we would use the quadratic equation shown in the attached image.

By substitution, we would find that:
either x = √11 + 2
or x = -√11 + 2

Hope this helps :)

6 0

3 years ago

Read 2 more answers

A restaurant wanted to track how much of a quart of soda customers drank at a meal. The line plot displays the data collected by

Contact [7]

Answer:

d.) 3 Quart's

Step-by-step explanation:

6 0

3 years ago

The standard deviation of a probability distribution table is 26.6 and the mean is 674.0. During an event, you receive the resul

elixir [45]

Answer:

Usual, because the result is within the range of the minimum and maximum usual values.

Step-by-step explanation:

When the z-scores is lower than -1.96 or higher than 1.96, they are considered as unusual and interesting and they are statistically significant outliers.

The Z score can be calculated by,

where,

X = raw score = 622.3

μ = mean = 674

σ = standard deviation = 26.6

Putting tall the values,

As , so the result is usual, because it lies within the range of the minimum and maximum usual values.

Read more on Brainly.com - brainly.com/question/3087033#readmore

6 0

4 years ago

For the arithmetic sequence beginning with the terms {-2, 0, 2, 4, 6, 8...}, what is the sum of the first 18 terms?

Delicious77 [7]

Answer:

The sum of the first 18 terms is 270.

Step-by-step explanation:

First the 18th term is calculated which is gotten using the following steps below:

an = a1 + d ( n - 1 )

Where, an =18th term

a1= first term (-2)

d = difference

n = 18

Therefore, 18th term

an= -2 + 2 (18 - 1)

= -2 + 2 (17)

= -2 + 34

18th term = 32

To calculate the sum of the first 18th terms the following steps are used,

Sn = n(a1 + an)/2

Where,

Sn = sum of 18th term

n = 18

a1 = -2

an = 18 term

Therefore,

Sn = 18 (- 2+ 32)/2

= 18 (30)/2

= 18 ×30 /2

= 540/2

= 270

6 0

3 years ago