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3 years ago

The bases of the trapezoid are 6 and 10. The height is 4. Find the area.

Mathematics

1 answer:

ollegr [7]3 years ago

6 0

Answer

b. 32 sq. unit

Step-by-step Explanation

The area of the trapezoid is given by

$A = \frac{1}{2} (b_{1} + b_{2}) \times h$

We substitute the given values into the formula to obtain;

$A = \frac{1}{2}(10 + 6) \times 4$

Simplify

$A = \frac{1}{2} (16) \times 4$

$A = 16 \times 2$
Hence the area is

$A = 36 \: sq \: units$

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What is the range of the function f(x) = -|X - 4| + 5?

Law Incorporation [45]

Answer:

Range = (-<em>∞, 5</em>)

Step-by-step explanation:

This is the absolute value function with transformation.

The parent function is f(x) = |x|

This function has a "negative" in front, so it makes it reflect about x axis

The -4 after x makes horizontal translation of 4 units right

the +5 at the end makes the function translate 5 units UP

<em>The graph is shown in the attached picture.</em>

<em>Looking at the graph, we can clearly see the range. The range is the allowed y-values. Hence, we can see that the </em><em>range is -infinity to 5</em>

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<em>answer is not properly given, so i can't choose from the options, but the answer is -∞, 5 to 5</em>

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3 years ago

For the following integral, give a power or simple exponential function that if integrated on a similar infinite domain will hav

zhannawk [14.2K]

Answer:

hello your question is incomplete attached below is the complete question

answer :

for I1 = $\frac{1}{x^2} + \frac{4}{x^3}$ The integral converges

for I2 = $\frac{2x + 6}{2(x^2 + 6x + 4 )}$ The integral diverges

for I3 = $\frac{1}{x^2}$ The integral converges

for I4 = 1 The integral diverges

Step-by-step explanation:

The similar integrands and the prediction ( conclusion )

for I1 = $\frac{1}{x^2} + \frac{4}{x^3}$ The integral converges

for I2 = $\frac{2x + 6}{2(x^2 + 6x + 4 )}$ The integral diverges

for I3 = $\frac{1}{x^2}$ The integral converges

for I4 = 1 The integral diverges

attached below is a detailed solution

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3 years ago

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100 is 1/10 of what?

lawyer [7]

$\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }$

<h3>Further explanation </h3>

The question can be rewritten to $\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ M \ }$

This case about equations with one variable. We have to solve this calculation to obtain the value of M. Our task is to isolate the variable M alone at the end of the process on one side of the equation until the variable will be equal to a value on the opposing side.

Let's arrange it into an equation, i.e., $\boxed{ \ 100 \ = \ \frac{1}{10} \times \ M \ }$

Turn this equation over so that the position of variable M is on the left side.

$\boxed{ \ M \times \frac{1}{10} = 100 \ }$

Both sides are multiplied by 10 to isolate M on the left side. The fraction are eliminated.

$\boxed{ \ M \times \frac{1}{10} \times 10 = 100 \times 10 \ }$

M = 1,000

Therefore, we have calculated the number that was asked.

Hence $\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }$

The significant thing to carry out is how to manipulate both sides of the equation with the algebraic properties of equality such as:

Adding
Subtracting
Multiplying, and/or
Dividing both sides of the equation with a similar number

And the commutative property of multiplication, i.e., $\boxed{ \ a \times b = b \times a \ }$

<h3>Learn more </h3>

The similar case brainly.com/question/106300
The similar case brainly.com/question/96882
Calculating mass based on density and volume brainly.com/question/4053884

Keywords: 100 is 1/10 of, solve, 1,000, variable, 2/7m - 1/7 = 3/14, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, subtract, multiply, divide, fraction, equate, denominator, numerator, both sides, equal, the opposite, both sides are multiplied by, turn, calculation

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