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Marianna [84]
3 years ago
10

Can someone please answer this quickly and correctly? 20 points!

Mathematics
1 answer:
Marysya12 [62]3 years ago
5 0
The missing side is 7 in

Explanation:
The information we have to know in order to solve this is that the formula of area of trapezoid is
a = 1/2h (b1 + b2)

We can fill in the information we know from the picture into the equation
15 = 1/2(3.4) (1.8 + b2)

The dimension we are solving for is b2, or base 2. To make it easier, let's replace b2 with n. Now we can solve this equation

1) Multiply 1/2 by 3.4, which is 1.7
15 = 1.7 (1.8 + n)

2) Distribute by doing 1.7 x 1.8 + 1.7 x n
15 = 17n + 3.06

3) Subtract 3.06 from both sides of the equation
15 - 3.06 = 17n + 3.06 - 3.06
11.94 = 17n

4) To isolate n, since we want one n instead of 17, we divide both sides by 17
11.94/17 = 17n/17
7 = n
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Name the property shown in the equation: 4 x (5 + 6) = (4 x 5) + (4 x 6)
Novosadov [1.4K]

The property used in the equation is called Distributive property.

<h3>What is Distributive property?</h3>

The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation.

Given an equation, 4 x (5 + 6) = (4 x 5) + (4 x 6)

The property used in this equation is distributive property.

a(b+c) = (a*b)+(a*c)

Hence, The property used in the equation is called Distributive property.

For more references on Distributive property, click;

brainly.com/question/5637942

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8 0
1 year ago
Which expression correctly represents "twice the sum of four and a number"?
Lesechka [4]

Answer:

2(4+x)

Step-by-step explanation:

"Twice the sum of" tells us it will be the equation times two

"the sum of four and a number" is easy, thats 4 + x

The second number is x because the number is not specified so we need a place holder, x in this case, to tell us that the number is not given.

All this put together = twice the sum of four and a number, or <u>2(4+x)</u>

7 0
3 years ago
Find the larger of the two roots of the equation y = -2.2x2 + 63.5x - 17
Luden [163]

The larger of the two roots of the equation y = -2.2x^2 + 63.5x - 17would be 28.59.

<h3>How to find the roots of a quadratic equation?</h3>

Suppose that the given quadratic equation is

ax^2 + bx + c = 0

Then its roots are given as:

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}

The given quadratic equation is

y = -2.2x^2 + 63.5x - 17

now, the roots of the equation are

x = \dfrac{-63.5 \pm \sqrt{63.5^2 - 4(-2.2)(-17)}}{2(-2.2)}\\\\\\x = \dfrac{-63.5 \pm \sqrt{4032.25 - 149.6}}{(-4.4)}\\\\\\x = \dfrac{-63.5 \pm \sqrt{3882.65}}{(-4.4)}\\\\\\x = \dfrac{-63.5 \pm 62.31}{(-4.4)}

The two roots are 0.27 and 28.59.

Thus, the larger of the two roots of the equation y = -2.2x^2 + 63.5x - 17would be 28.59.

Learn more about finding the solutions of a quadratic equation here:

brainly.com/question/3358603

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7 0
1 year ago
A rectangle is plotted on the coordinate grid. It has vertices at (-3, 5), (4, 5), (4, -1), and (-3, -1). Which choices below ar
zhannawk [14.2K]

A rectangle is plotted on the coordinate grid. It has vertices at (-3, 5), (4, 5), (4, -1), and (-3, -1). Which choices below are the dimensions of the rectangle?

Answer

(-3,5)

3 0
2 years ago
The population of a rabbit colony triples each month.
djverab [1.8K]

Answer:

3645 rabbits after 6 months.

Step-by-step explanation:

The population of a rabbit colony triples each month.

This means that the population of the colony after t months is given by:

P(t) = P(0)(3)^t

In which P(0) is the initial population.

The population started with 5 rabbits.

This means that P(0) = 5

So

P(t) = 5(3)^t

How many rabbits are there after 6 months?

This is P(6). So

P(6) = 5(3)^6 = 3645

3645 rabbits after 6 months.

3 0
2 years ago
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