Mathematics College

Find the area of the parallelogram in the figure below round your answer to the nearest 10th

Answers

Answer 1

ANSWER

Area of the parallelogram to the nearest 10th = 76.4 square units

STEP-BY-STEP EXPLANATION:

The figure given is a parallelogram has provided by the question

Given data

The base of the parallelogram = 9

The area of the parallelogram is given below as

$\text{Area of parallelogram = base x height}$

The next thing is to find the height of the parallelogram from the given below

From the above diagram, the height can be calculated using Pythagora's theorem

$\begin{gathered} \text{Pythagora's theorem is give below as} \\ (hypotenuse)^2=(opposite)^2+(adjacent)^2 \\ \text{Hypotenuse = 9} \\ \text{opposite = h} \\ \text{adjacent = 3} \\ \text{Substitute the data into the above formula} \\ 9^2=h^2+3^2 \\ 81=h^2\text{ + 9} \\ \text{Subtract 9 from both sides} \\ 81-9=h^2\text{ + 9 - 9} \\ 72=h^2 \\ \text{Take the square roots of both sides} \\ \sqrt[]{72}\text{ = }\sqrt[]{h^2} \\ h\text{ = }\sqrt[]{72} \\ h\text{ = 8.4852813742 units} \end{gathered}$

The next step after finding the height is to find the area of the parallelogram

Recall that, the area of the parallelogram = base x height

Area of the parallelogram = 9 x 8.4852813742

Area of the parallelogram = 76.3675

Area of the parallelogram to the nearest 10th = 76.4 square units

Related Questions

You rented a sedan for 37.45 per day and unlimited miles. she paid a CDW fee of 19.40 per day. Her total rental cost was 646.50. She spend 78 for gasoline and her final cost per mile was 0.77. How many days did You rented the car?

Answers

You rented the car for 10 days.

Mathematical word problem

Let's begin by setting up the equation to solve for the number of days:

Total rental cost = (daily rental cost + CDW fee) x number of days + gasoline cost

We know that the daily rental cost is 37.45, and the CDW fee is 19.40, so we can substitute those values into the equation:

646.50 = (37.45 + 19.40) x number of days + 78

Simplifying the equation:

646.50 = 56.85 x number of days + 78

Subtracting 78 from both sides:

568.50 = 56.85 x number of days

Dividing both sides by 56.85:

number of days = 10

Therefore, You rented the car for 10 days.

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10.) 1 and 2 in this diagram are___
a. Complementary
b. Supplementary
c. Congruent
d. Vertical angle

Answers

Answer:

Step-by-step explanation:

they are complementary, they add to 90

Q6 A man is going to New York for work. He wants
to book a hotel online.
A friend says
"Remember the booking website will show the price in dollars. It will actually cost more
pounds than the price shown, because of the exchange rate.'
The man checks the exchange rate because he thinks his friend is wrong. He thinks that
the number of pounds will be less than the number of dollars shown.
Exchange rate
£1 = $1.24
Who is right,
the man or his friend?
Explain your answer.

Answers

Answer:

The man

Step-by-step explanation:

Let's say the hotel cost $12400(just an example...)

So the website will show $12400. And the man needs to pay $12400.

Since one pound is 1.24 dollars, 12400 dollars will be 12400/1.24=10000 pounds.

12400>10000, so the man is right, the number of pounds will be less than the number of dollars shown.

The man is right about the Exchange rate.

what is Exchange Rate?

The rate at which one currency will be exchanged for another is known as the exchange rate. The most frequent types of currencies are national currencies,

A currency's relative value expressed in terms of another currency is called an exchange rate (or group of currencies). The exchange rate is a significant economic variable for nations with active international trade, like Australia.

Given:

The Situation is The man's friend told him that " It will actually cost more

pounds than the price shown, because of the exchange rate."

This means the price in pounds is more than dollar.

But the exchange rate is found to be

£1 = $1.24

So, the price in dollar is more than in pounds.

Hence, the Men is correct.

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Can I please get some help I’ve been stuck on this question for a while!

Answers

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

How many minutes of the ride are spent higher than 28 meters above the ground?

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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I'm on my last question on a graded practice and I don't want to get a wrong. I have already graphed it.

Answers

c)rhombus

Explanation

the slope of a line or segment is given by:

$\begin{gathered} slope=\frac{y_2-y_1}{x_2-x_1} \\ where \\ P1(x_1,y_1) \\ and \\ P2(x_2,y_2) \\ are\text{ the initial and end points} \end{gathered}$

Step 1

find the slope of the given segments

a)slope of TU

let

$\begin{gathered} P1=T=(-2,7) \\ P2=U=(0,-2) \end{gathered}$

now, replace in the expression

$\begin{gathered} slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ slope=\frac{-2-7}{0+(-2)}=-\frac{9}{2} \\ slope_{TU}=-\frac{9}{2} \end{gathered}$

b) Slope of UV

Let

$\begin{gathered} P1=U=(0,-2) \\ P2=V=(7,-8) \end{gathered}$

now, replace in the expression

$\begin{gathered} slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ slope=\frac{-8-(-2)}{7-0}=\frac{-6}{7} \\ slope_{UV}=-\frac{6}{7} \end{gathered}$

c)slope of VW

Let

$\begin{gathered} P1=V=(7,-8) \\ P2=W=(5,1) \end{gathered}$

now, replace in the expression

$\begin{gathered} slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ slope=\frac{1-(-8)}{5-7}=\frac{9}{-2} \\ slope_{VW}=-\frac{9}{2} \end{gathered}$

d) slope of WT

let

$\begin{gathered} P1=W=(5,1) \\ P2=T=(-2,7) \end{gathered}$

now, replace in the expression

$\begin{gathered} slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ slope=\frac{7-1}{-2-5}=\frac{6}{-7} \\ slope_{VW}=-\frac{6}{7} \end{gathered}$

therefore, for the slopes the answer is

Step 2

lengths

the distance(d) between 2 points(P1 and P2) is given by:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2^}$

a) length of TU

let

$\begin{gathered} P1=T=(-2,7) \\ P2=U=(0,-2) \end{gathered}$

replace:

$\begin{gathered} d=\sqrt{\left(0-(-2\right))^2+(-2-7)^2} \\ d=\sqrt{4+81} \\ d_{TU}=\sqrt{85} \end{gathered}$

b) length UV

$\begin{gathered} d=\sqrt{(7-0)^2+(-8-(-2))^2} \\ d=\sqrt{49+36} \\ d_{TU}=\sqrt{85} \end{gathered}$

c)Length VW

$\begin{gathered} d=\sqrt{(5-7)^2+(1-(-8))^2} \\ d=\sqrt{4+81} \\ d_{VW}=\sqrt{85} \end{gathered}$

d)length WT

$\begin{gathered} d=\sqrt{(5-(-2))^2+(1-7)^2} \\ d=\sqrt{49+36} \\ d_{WT}=\sqrt{85} \end{gathered}$

Step 3

finally, we have a parallelogram where all sides are equal, this is called

rhombus

I hope this helps you

I am trying to perform an A/B test to see if two samples come from the same underlying distribution. My alternative hypothesis is that the samples do not come from the same underlying distribution. The _________ should be chosen as the test statistic. _________ _________ values of this statistic provide evidence in favor of the alternative hypothesis.
a. difference between the groups' averages, large absolute
b. total variation distance, large
c. difference between the groups' averages, large

Answers

the correct option is a. difference between the groups' averages, large absolute

I am trying to perform an A/B test to see if two samples come from the same underlying distribution. My alternative hypothesis is that the samples do not come from the same underlying distribution. The difference between the groups should be chosen as the test statistic averages large absolute values of this statistic provide evidence in favor of the alternative hypothesis.

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c) Evaluate: 3√11x√2

Answers

Answer:

$3\sqrt{22}$

Step-by-step explanation:

The product of roots with the same index is equal to the root of the product $3\sqrt{11*2}$

Multiply

it’s 3√22x
if the x is inside the square root

The midpoint of AB is M(1,4). If the coordinates of A are (8,7), what are
the coordinates of B?

Answers

Answer:

(-6,1)

Step-by-step explanation:

Please answer
I will mark as the brainliest the one whose going to answer right

Answers

A. Right triangles.

B. Height of 16cm with bases 20cm

C. 320

D.?

Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.

Answers

The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;

Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

What is an estimate of an amount?

An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.

Please find attached a diagram of the possible figure created with MS Word

The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;

Base length = 5 units

Height = 4 units

The figure has a diagonal side which is 4 units wide and 2 units tall.

The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5

The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

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Which statement best describes a strategy for estimating the perimeter of the figure below if the grid

A person’s blood pressure, p, in millimeters of mercury (mm Hg) is given, for t in seconds, by p = 100 + 20 sin(2.5πt). (a) What are the maximum and minimum values of blood pressure? (b) What is the interval between successive maxima? (c) Show your answers on a graph of blood pressure against time.

Answers

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

find the value of x. SIMPLEST RADICAL FORM

Answers

For given triangle, x is 4√5 using Pythagorean theorem.

What is Pythagorean Theorem?

Pythagoras Theorem (also known as Pythagorean Theorem) is a mathematical concept that explains the relationship between the sides of a right-angled triangle. The sides of a right triangle are also referred to as Pythagorean triples. This theorem's formula and proof are discussed with examples here.

The Pythagorean theorem is used to calculate the length of an unknown side and the angle of a triangle. We can deduce the base, perpendicular, and hypotenuse formulae from this theorem.

The Pythagoras Theorem formula is presented in the definition as:

Perpendicular² + Base² = Hypotenuse²

c² = a² + b²

Now,

Given that perpendicular =19

Hypotenuse=21

then Base²=21²-19² using Pythagoras theorem

Base=√441-361

=√80

=4√5

Hence,

x is 4√5

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Lydia and her children went into a grocery store where they sell apples for $2.25 each and peaches for $1.75 each. Lydia has $25 to spend and must buy at least 10 apples and peaches altogether. If Lydia decided to buy 8 apples, determine all possible values for the number of peaches that she could buy. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answers

The possible values for the number of peaches Lydia could buy are:

2, 3, 4.

We have,

Lydia wants to buy 8 apples, which cost $2.25 each.

Therefore, the total cost of the apples is 8 * $2.25 = $18.

She has $25 to spend, so after buying the apples, she has:

$25 - $18 = $7 remaining.

Now,

Lydia must buy at least 10 apples and peaches altogether.

Since she has already bought 8 apples, she needs to buy at least 2 more fruits.

Let's consider the peaches.

Each peach costs $1.75. To find the possible values for the number of peaches, we can divide the remaining amount ($7) by the cost of a peach ($1.75) and check which whole numbers satisfy the condition.

$7 / $1.75 = 4

Since we need to buy at least 2 more fruits, the possible values for the number of peaches that Lydia could buy are 2, 3, or 4.

Therefore,

The possible values for the number of peaches Lydia could buy are:

2, 3, 4.

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PLEASE ANSWER QUICK
The slopes of a quadrilateral are 2/5, 5/4, 5/4, and 2/5. What conclusion about this shape can be made?

A. The quadrilateral is a trapezoid, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

B. The quadrilateral is a parallelogram, because there is one pair of equal slopes, and thus one pair of parallel opposite sides.

C. The quadrilateral is a trapezoid, because there is one pair of equal slopes, and thus one pair of parallel opposite sides.

D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

Answers

Based on the definition of parallelogram, the conclusion about the quadrilateral is that: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

What are the Properties of a Parallelogram?

If a quadrilateral is a parallelogram, the two pairs of opposite sides will be parallel to each other.

If two sides of a shape have the same slopes, it then means the shape is a parallelogram.

The quadrilateral that is given is said to have the following:

Two equal slopes of 5/4 and 5/4; and 2/5 and 2/5, this means the sides that have the same slope values are opposite to each other.

Since they are opposite to each other and they have the same slope, therefore, the conclusion about the described shape is: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

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HELP PLEASE!!! (FOR 10 POINTS)

The sales tax in town is 8 %. So, the total cost of an item can be written as c+0.008c. What is the total cost of an item that sells for $12?

Answers

The total cost of an item that sells for $12 is $1500.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here the sales tax = 8%.

Total cost of an item = $12.

The equation for the total cost of an item = c+0.008c.

Now , 12 = c+0.008c

=> 12=1.008c

=> c = 12/1.008

=> c= $1500.

Hence the total cost of an item that sells for $12 is $1500.

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Find the distance between the two points and the midpoint of the line segment joining them.
(-8,9) and (52,34)

Answers

The distance of the segment is: d = 65 units.

Midpoint is: M(22, 21.5)

How to Find the Distance and the Midpoint between two Points?

Given the following endpoints:

(-8, 9) = (x1, y1)

(52, 34) = (x2, y2)

Find the distance using the distance formula, d = $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$:

d = √[(52−(−8))² + (34−9)²]

d = √[(60)² + (25)²]

d = 65 units.

Use the midpoint formula, M[(x2 + x1)/2, (y2 + y1)/2] to find the midpoint of the line

M[(52 + (-8))/2, (34 + 9)/2]

M(22, 21.5)

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What is the image of (-3,-7) under a rotation of 90 degrees

Answers

The new coordinate (- 7, 3 ) of the image of (-3,-7) under a rotation of 90 degrees.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Let the coordinate Z is (-3, -7)

Under a clockwise rotation about the origin of 90 degrees

A coordinate ( x, y ) → ( y, - x ),

The coordinate Z is (-3, -7) and is translated using the rule

Then simply plug in the values of x and y which are x = -3 and y = -7

Thus ( -3, - 7 ) → (- 7, 3 )

This is the new coordinate for Z (- 7, 3 )

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Part D
Now use GeoGebra to measure the lengths of segments AB and BC and calculate the area of rectangle ABCD. Do you get the same result that you obtained in part C? Take a screenshot with the lengths of the sides labeled and the area displayed, and paste it below.

Answers

Answer:

id ont givea

efijhaoieuvbhzoiubhoewivbawzoufhbealivjhbr

Step-by-step explanation:

idsifui piuh vSeth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity: