What is the total area, in square inches, of the shaded sections of the trapezoid below?

What Is The Total Area, In Square Inches, Of The Shaded Sections Of The Trapezoid Below?

Answers

Answer 1

Answer:

64.5 in²

Explanation:

[tex]\sf area \ of \ trapezoid = \dfrac{1}{2} * ( a + b) *h[/tex]

Solve for the entire trapezoid:

[tex]\hookrightarrow \sf \dfrac{1}{2} * ( 6.5 +(9.8+5.2+6.5) ) *8.6[/tex]

[tex]\hookrightarrow \sf 120.4 \ in^2[/tex]

Solve for the unshaded rectangle:

Length * Width6.5 * 8.655.9 in²

Area of the shaded region:

120.4 in² - 55.9 in²64.5 in²

Related Questions

Help! Please!
Melanie bought a trampoline for her son. The price of the trampoline was $498.00 in a city where the sales tax is 6.7%. Find the sales tax and the total cost of the trampoline.

Sales tax: $_____

Answers

Answer:

$22.11. $23.41. $23.79.

Step-by-step explanation:

2.36 ÷ $32.00 = 0.0735. Sales tax was charged by the department store at a rate of 7.375%.

Answer: Mr. Smith should pay the department store $32.00 plus $2.36 in sales tax for a total bill of $34.36.

Sales tax rates vary from state to state. Retail sales tax rates are set by the individual states in the United States and vary from 0 to 9% of the sales price. Sales tax is usually the responsibility of the merchant to collect and submit to the state, and stated separately (or implicitly added at the time of the sale) to consumers. Let's look at some

A bag of flour weighs 2.5 kilograms.
About how much does the bag weigh in pounds ?
Round to the nearest tenth
I'll give you 55 points

Answers

Answer:

5.5 pounds

Explanation:

weight in kg = 2.5 kilograms

conversion:

1 kg ↔ 2.205 pounds

solve:

2.5 kilograms = (2.5 * 2.205)2.5 kilograms = 5.511557 pounds2.5 kilograms = 5.5 pounds ( rounded to nearest tenth )

Answer:

5.5 pounds (nearest tenth)

Step-by-step explanation:

1 kilogram = 2.20462262 pounds

To determine how many pounds are in 2.5 kg, multiply by 2.5:

⇒ 2.5 kilograms = 2.20462262 × 2.5

                           = 5.5 pounds (nearest tenth)

Use the number line below to determine which of the following answer choices has statements that are all true.

Answers

Answer:

I agree with D

Step-by-step explanation:

just because

Lisa brought $5.60 to the bakery. She spent $2.95 on cupcakes. How much money does Lisa have left?

Answers

Answer:

2.65

Step-by-step explanation:

5.60-2.95 = the sum of the money left.

Hi. What's 8.563 + 4.8292?

Answers

Answer:

 8.563 + 4.8292 = 13.3922

Step-by-step explanation:

Remember to line up the decimal points and put zeros in any right-hand columns that don't have numbers if necessary (ex: 8.5630 + 4.8292).

Hope this helps!!

If f(x) = 10x^3-37x^2+15x+18 and x-3 is a factor of f(x), then find all of the zeros of f(x) algebraiclly.

Answers

Answer:

x=6/5 and x=-(1/2)

Step-by-step explanation:

[tex]f(x) = 10x^3-37x^2+15x+18\\f(x) = \frac{(5x-6)(2x+1)(x-3)}{(x-3)}\\ f(x) = (5x-6)(2x+1)[/tex]

To find the zeros, we set f(x) = 0 for both factors

[tex]5x-6=0\\5x=6\\x=6/5[/tex]

[tex]2x+1=0\\2x=-1\\x=-1/2[/tex]

Therefore the zero's of f(x) are x = 6/5 and x= -(1/2)

what is the slope of line QX? X(5,5) and Q(4,1) ​

Answers

Answer:

4

Step-by-step explanation:

[tex]slope = \frac{5 - 1}{5 - 4} \\ = \frac{4}{1} \\ = 4[/tex]

Answer: 4

Step-by-step explanation:

Slope is rise over run, which is the change in the y-values divided by the change in the x-values. Each point is given as a coordinate pair: (x,y).

For point Q (4,1) the y-value is 1 and the x-value is 4.

For point X (5,5), the y-value is 5 and the x-value is 5.

To find the slope, take the y-value for point X minus the y-value for point Q. That is the numerator of your slope. Then take the x-value for point X minus the x-value for point Q. That is the denominator of your slope.

The numerator divided by the denominator equals the slope.

(5-1)/(5-4) = (4)/(1) = 4

Please help for mooolah :(((

Answers

Answer: 61 in^2

Step-by-step explanation

triangle length = half of left side + 1.5

triangle length = 2 + 1.5 = 3.5

triangle area = (.5)(base)(length)

triangle area = (.5)(6)(3.5) = 10.5

you have 2 triangles

10.5 + 10.5 = 21

area of rectangle = left side width x length

area of rectangle = 4 x 10 = 40

add areas

21 + 40 = 61

Answer:

61 in^2

Step-by-step explanation:

The arrow is made of a rectangle and a triangle.

The rectangle's lengths is 10 in by 4 in. So, its area is 10 in * 4 in = 40 in^2

The triangle's lengths are 7 in by 6 in. So, its area is (7 in * 6 in)/2 = 21 in^2

add everything together.

See the figure below. Which graph is the most appropriate to describe the height over time of a helium ballon that was accidentally let go and later burst?

Answers

Answer:

  D

Step-by-step explanation:

We expect the height of a helium balloon to be increasing, up to the point where it bursts.

The only graph that shows consistently increasing altitude with a final drop is graph D.

_____

Additional comment

The graph of D shows the altitude increases at an increasing rate. The buoyancy force decreases with altitude, so we expect the balloon would actually have a decreasing rate of altitude increase. The actual curve would likely be concave downward.

Answer:

Okay...................

Why 00,13,589 is not the smallest possible 7-digit number?

Answers

Answer:

1000000 is the smallest 7-digit number

Two lines that are ____________ have one solution.

Answers

Answer:

Not parallel  

Step-by-step explanation:

Could be   perpindicular    or   not parallel

Please help me I really need it

Answers

Answer: 170

Step-by-step explanation: Like I answered before: Angle G and Angle H are consecutive angles, meaning they both add up to 180 degrees. Thus, if 10 is the value of Angle G, Angle H must be 170.

Answer:

<CDA = 170⁰

Step-by-step explanation:

<A + <D = 180⁰ { Adjacent Angles of an parallelogram are supplementary}

10⁰ + <D = 180⁰

<D = 180⁰ - 10⁰ = 170⁰

<D = x⁰ = 170⁰ = <CDA

Number Sense George is thinking of a number less than 10 that has an odd product when multiplied by 5. What could George's number be?​

Answers

Answer: 3
Explanation: 3x5=15 and 3 is less than 10

If you can help me with this please and thank you

Answers

Answer:

1) im not sure

2) im not sure

3) 72 degrees

Step-by-step explanation:

Consider the graph given below. Determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above. Shift right 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2 Shift left 2 units, reflect over the y-axis, and then vertically stretch by a factor of 6 Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2 Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift left 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2

Answers

The sequences of transformations that could be applied to the parent function are (e) Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units

How to determine the sequence of transformation?

The graph that completes the question is added as an attachment

From the attached graph, we have the following points

(3, 0) and (0, 6)

Calculate the equation of the line using

[tex]g(x) = \frac{y_2 - y_1}{x_2 -x_1} * (x - x_2) + y_2[/tex]

This gives

[tex]g(x) = \frac{6 - 0}{0 -3} * (x - 0) + 6[/tex]

Evaluate the quotient

g(x) = -2 * (x) + 6

Expand

g(x) = -2x + 6

This means that the equation of the line is:

g(x) = -2x + 6

So, we have:

f(x) = x as the parent function and g(x) = -2x + 6 as the transformed function.

The transformations from f(x) to g(x) are as follows:

Reflect over the y-axis i.e. f'(x) = -f(x) = -xStretch vertically by a factor of 2 i.e. f"(x) = 2f'(x) = -2xShift up by 6 units i.e. g(x) = f"(x) + 6 = -2x + 6

Hence, the sequences of transformations that could be applied to the parent function are (e) Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units

Read more about transformation at:

https://brainly.com/question/13810353

#SPJ1

I don’t understand this at all

Answers

keeping in mind that Mt Everest is 8000 meters, or namely 8 Kilometers, Check the picture below.

round 7.430499778 to the nearest millionth

Answers

It goes tenth, hundredth, thousandth, ten thousandth, hundred thousandth, then millionth. So 7.430499

Quickly before the timer runs out

Answers

Answer:

47°

Step-by-step explanation:

sum of angles in triangle=180

x + 90 + 43 = 180

x = 180 - 90 - 43

  = 47

Hope it helps:)

There is a pair of parallel sides in the following shape. 4 4 6 ​

Answers

Answer:

20 units²

Step-by-step explanation:

[tex]Becanse\ simple\ form:[/tex]

[tex]S=(4+6)\times4\times\frac{1}{2}[/tex]

  [tex]=10\times 2\\ =20\ units\ ^2[/tex]

[tex]algorithm\ rule)[/tex]

I hope this helps you

:)

The area of the shape is 20 square units.

What is a trapezoid?

An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.

Given that a shape is in trapezoid form.

The dimensions of the parallel sides are 4 and 6 units.

And a perpendicular side is 4 units.

The formula for the area of a trapezoid is:

Area = (1/2) × (sum of parallel sides) × (perpendicular distance between them)

In this case, the parallel sides have lengths 4 and 6 units, and the perpendicular distance between them is 4 units.

Substituting these values into the formula, we get:

Area = (1/2) × (4 + 6) × 4

Area = (1/2) × 10 × 4

Area = 20 square units

Therefore, the area of the trapezoid is 20 square units.

To learn more about the trapezoid;

https://brainly.com/question/8643562

#SPJ7

Can someone please tell me the rest of the answers?

Answers

Answer:

35 miles per hour.

223 minutes to reach destination.

Step-by-step explanation:

It's counting down by 35

35 miles per hour.

260/35=7.42857142857

7.42857142857*30=222.857142857

Rounding to nearest whole number

223

SonicIsCoool

On Scratch you tube, Inst and much more here to help :)

Janyah is expected to receive a 4% raise after her yearly evaluation? Her current pay is $14.25 per hour. Calculate her new annual pay?

Answers

Answer:

$14.82

Step-by-step explanation:

14.25 + (4% × 14.25) =

14.25 + 4% × 14.25 =

(1 + 4%) × 14.25 =

(100% + 4%) × 14.25 =

104% × 14.25 =

104 ÷ 100 × 14.25 =

104 × 14.25 ÷ 100 =

1,482 ÷ 100 =

14.82

Write the equation of the given line in slope-intercept form:

Answers

Answer:

Step-by-step explanation:

so u add it like its a shape and put a x and there :)

(Please someone help me!) (No links!)
What do I put??

Answers

Answer:

X=16

Missing angle = 48

Step-by-step explanation:

The value of x is 16
The measure of the missing angle is 48

This is because it’s a right angle meaning the two angles HAVE to equal 90.
You can set the equation as
42 + 3x=90
3x= 48 (subtract 48 by 90)
X=16 (divide both sides by 3)
And then you can plug 16 back into the 3x which would be 3(16) which equals 48
Or
You can set the equation as
90-42= 48
And divide by 3 to get x=16

The table shows the possible outcomes of spinning the given spinner and tossing a fair coin. find the probability of spinning a 1 and tossing a head. ​

Answers

Considering a six-sided spinner, it is found that the probability of spinning a 1 and tossing a head is of [tex]\frac{1}{12}[/tex].

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

For the spinner, one is one out of six possible outcomes.For the coin, a head is one out of two possible outcomes.

Since the events are independent, the probability of spinning a 1 and tossing a head is given by:

[tex]p = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12}[/tex].

More can be learned about probabilities at https://brainly.com/question/14398287

What are souloutions to (x+9)^2=49

Answers

(x+9)=49:2
x+9=24.5
x=24.5-9
x=15.5
I think it right

please help fast it is due​

Answers

A right triangle with a 45 degree angle means the two short sides are the same, so y = 30


the hypotenuse is the length of the side x sqrt (2), so x =30sqrt(2)


answer: x = 30sqrt(2) and y = 30


Find the volume of the cone below.

Answers

Answer:

C. 2027.4 m^3

Step-by-step explanation:

volume = (1/3) · π · r^2 · h

volume = (1/3) · π · 8.8^2 * 25

volume = (1/3) · π · 1936

volume = (1/3) · 1936π

volume = 2027.4 m^3

When given the set of variables, solve for X

Answers

Answer:  B

Step-by-step explanation:

can a parking lot be built at angle K. why or why not

Answers

Yea I can!! Yes it can !!!!!!

Select all numbers that are solutions to the inequality w < 3.

A. -7

B. -1.5

C. 1

D. 5

E. 0​

Answers

Answer:-7,0,1.5

Step-by-step explanation: they are lower then number three

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