All categories

3 years ago

What is the area of the trapezoid?

Mathematics

1 answer:

liberstina [14]3 years ago

7 0

Answer:

Second option.

Step-by-step explanation:

You can use the formula for calculate the area of a trapezoid. This is:

$A_{(trapezoid)}=\frac{h}{2}(B+b)$

Where "B" is the larger base, "b" is the minor base and "h" is the height.

You can identify in the figure that:

$B=8units\\b=4units\\h=4units$

Then you can substitute values into the formula, getting that the area of the trapezoid is:

$A_{(trapezoid)}=\frac{4units}{2}(8units+4units)$

$A_{(trapezoid)}=24units^2$

You might be interested in

Data set is normally distributed with a mean of 27 and a standard deviation of 3.5. Find the Z-score for a value of 25, to the n

Svetradugi [14.3K]

What is the standard deviation of the data set?

6, 4, 9, 5, 5, 4, 5

Round the answer to the tenths place.What is the standard deviation of the data set?

6, 4, 9, 5, 5, 4, 5

Round the answer to the tenths place.

Step-by-step explanation:

ERFSDFNJKOODSJNFIODSJIFJDSIOFDSF

3 0

2 years ago

Read 2 more answers

What's 6x to the tenth power divided by12x to the second power

ehidna [41]

Answer:

$\frac{1}{2}$ $x$ ⁸

Step-by-step explanation:

Given expression:

$\frac{6x^{10} }{12x^{2} }$

= $\frac{6}{12}$ x $\frac{x^{10} }{x^{2} }$

As a rule of exponents;

$\frac{a^{n} }{a^{m} }$ = $a^{n-m}$

So;

= $\frac{1}{2}$ x $x^{10-2}$

= $\frac{1}{2}$ $x$ ⁸

4 0

2 years ago

Which of the following expressions is equal to 2x2 + 18 ?

ehidna [41]

<h3>Answer: Choice C. (2x - 6i)(x + 3i)</h3>

Work Shown:

2x^2 + 18

2(x^2 + 9)

2(x - 3i)(x + 3i) .... see note below

(2x - 6i)(x + 3i)

Note: I used the rule that a^2 + b^2 = (a - bi)(a + bi). I recommend FOILing out the right hand side to confirm the equation is true. You'll use the idea that i^2 = -1.

4 0

3 years ago

A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: ŷ = 13

Lunna [17]

Answer:

$y=6x +135$

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

Step-by-step explanation:

We assume that they use least squares in order to create the regression equation

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

And the slope would be:

$m=6$

The means for x and y are given by:

$\bar x= \frac{\sum x_i}{n}$

$\bar y= \frac{\sum y_i}{n}$

And we can find the intercept using this:

$b=\bar y -m \bar x$

For this case we know that the line adjusted is:

$y=6x +135$

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

3 0

3 years ago

How many ounces are in 41 pounds please help

musickatia [10]

There is 656 ounces in 41 pounds

6 0

3 years ago