The figure shown has a parallelogram on top and a rectangle below it: What is the total area of the figure? (A)351.86 square inches, (B)645.88 square inches, (C)997.74 square inches, (D)1,291.76 square inches

QUESTION POSTED AT 10/10/2019 - 07:34 PM

Answered by answersmine AT 10/10/2019 - 07:34 PM

The answer is b it is 645.88 square inches
Post your answer

Related questions

A 20-foot ladder is leaning against a tree. The bottom of the ladder is 12 feet away from the bottom of the tree. Approximately how high up the tree does the top of the ladder reach?

We want to use the Pythagorean theorem to find the missing length of the right triangle described in the word problem.

The Pythagorean Theorem is a^2 + b^2 = c^2, where a and b are the side lengths of the right triangle, and c is the hypotenuse.
If we know the lengths of two sides of a triangle, we can always find the length of the third side using this formula.

We're given the lengths of one of the sides (12) and the hypotenuse (20). We plug these numbers into our equation and then solve for x.
(x represents the how high the ladder reaches)

x^2 + 12^2 = 20^2
x^2 + 144 = 400
x^2 + 144 - 144 + 400 - 144
x^2 = 256

Now, find the square root of each side of the parenthesis.

√x^2 = √256
x = 16.

The answer is 16.

If there's anything you don't understand, I would highly recommend going to the website Khan Academy and watch his videos regarding it, he explains things much better than I ever could.

Hope this helps!!

ANSWERED AT 17/10/2019 - 09:20 AM


QUESTION POSTED AT 17/10/2019 - 09:20 AM

Explain why a square can never be a trapezoid

A square can never be a trapezoid because a trapezoid doesn't have all equal sides and vertices while a square has 4 sides of the same length and four angles of the same length. Also, a trapezoid has no set of parallel lines while a square has two sets of parallel lines.

ANSWERED AT 17/10/2019 - 09:17 AM


QUESTION POSTED AT 17/10/2019 - 09:17 AM

What is the simplified form of the cube root of x squared times the third root of x squared

Answer:

x\sqrt[3]{x}

Step-by-step explanation:

\sqrt[3]{x^2} *\sqrt[3]{x^2}

Both terms have same cube root so we multiply the terms and put it inside the cube root

Apply exponential property

a^m * a^n = a^{m+n}

x^2* x^2 = x^4

\sqrt[3]{x^2} *\sqrt[3]{x^2}=\sqrt[3]{x^4}

\sqrt[3]{x^4}=\sqrt[3]{x^3*x^1}=x\sqrt[3]{x}

ANSWERED AT 17/10/2019 - 09:15 AM


QUESTION POSTED AT 17/10/2019 - 09:15 AM

Select the measures that are equal. Mark all that apply. A. 4 Feet. B. 12 Yards. C. 36 Feet. D. 480 Inches. E. 15 feet. F. 432 inches.

12 yards, 432 inches and 36 feet are all equal
12 yards = 36 feet
36 feet = 432 inches

ANSWERED AT 17/10/2019 - 09:15 AM


QUESTION POSTED AT 17/10/2019 - 09:15 AM

What are other names for a parallelogram

Another word for a parallelogram is a quadrilateral

ANSWERED AT 17/10/2019 - 09:14 AM


QUESTION POSTED AT 17/10/2019 - 09:14 AM

What is the simplified form of the cube root of x squared times the third root of x squared

The cubic root of x, by itself, would simply be 1/3 x. but, when you have an exponent in the radicand as an unknown, it gets more complicated. first, you have to solve what is inside the radicand first, following order of operations. so, first you solve x squared. x is your unknown, so you would need to determine the value of x and then square it. after that, you cube your answer. if we place 2 as x, for an example, you would find 2 squared to be 4, then cube that for your answer.

ANSWERED AT 17/10/2019 - 09:13 AM


QUESTION POSTED AT 17/10/2019 - 09:13 AM

Draw a quadrilateral that belong to any of these groups parrallelogram rectangle, square. explain why your shape does not belong to any of these groups

A trapezoid. It only has one pair of parallel sides, doesn't have four right angles and all sides are not the same length.

ANSWERED AT 17/10/2019 - 09:13 AM


QUESTION POSTED AT 17/10/2019 - 09:13 AM

Which calculation should be completed first to solve this story problem? Allister bought some sheet music. He bought 6 songs for $0.99 each and 1 book for $16.99. He paid $1.38 in sales tax. He gave the cashier $50. How much change should Allister get? A. total cost of all the purchases B. total cost of 6 songs C. sum of the cost of 1 song, the book, and the tax D. the change

A. total cost of all the purchases

You can't calculate the sales tax on the sheet music or the change for $50 he would have received (which requires subtracting the total cost from $50) until you know how much the sheet music cost total.

 The B) and C) options aren't  relevant to the problem. You're trying to find the amount of change he gets after paying the total cost for all the sheet music + the tax on that.

ANSWERED AT 17/10/2019 - 09:13 AM


QUESTION POSTED AT 17/10/2019 - 09:13 AM

What is the surface area of 120 x 110 x 4

The surface area of a rectangular prism is:

A=2(xy+xz+yz), where x,y, and z are its dimensions...in this case:

A=2(120*110+120*4+110*4)

A=2(13200+480+440)

A=2(14120)

A=28240 mm^2

ANSWERED AT 17/10/2019 - 09:11 AM


QUESTION POSTED AT 17/10/2019 - 09:11 AM

What is the surface area of 120 x 110 x 4

surface area is the area of all the faces on a shape so to speak.

2(120 x 110)=26,400

2(120 x 4)=960

2(110 x 4)=880

880+960+26,400=28,240

Surface area = 28,240

ANSWERED AT 17/10/2019 - 09:11 AM


QUESTION POSTED AT 17/10/2019 - 09:11 AM

For two weeks, Mark recorded the color of the traffic light at the intersection of Acorn Street and Fifth Avenue as his bus approached the intersection. He created this frequency table. How many times was the traffic light red? Red: ? Green: 6 Yellow: 2 Total: 15

Hey there!

If the total amount of times Mark recorded the color of the traffic light is 15, then the number of red lights he recorded would be 15 minus the amount of green and yellow lights. 

15 – 6 – 2 = 7

There was a total of 7 red lights recorded by Mark. 

Hope this helped you out! :-)

ANSWERED AT 17/10/2019 - 09:09 AM


QUESTION POSTED AT 17/10/2019 - 09:09 AM

Identify as a direct variation, inverse variation or neither. Is the total cost to fill a car gas tank a direct or inverse variation with respect to the number of gallons used?

Answer:

It  is a case of a direct variation.

Step-by-step explanation:

Direct variation--

Two variables x and y are said to be in direct variation if there exist a constant k such that:

y=kx

i.e. with the increase/decrease in one variable the other variable also increases/decreases.

Inverse variation--

Two variables x and y are said to be in inverse variation if there exist a constant k such that:

xy=k

i.e. with the increase in one variable the other decreases and vice-versa.

Here the independent variable is: Number of gallons used.

and the dependent variable is: Total cost to fill a car gas tank.

As we know that as the number of gallons used increases the total cost also increases and it increases by some constant k.

Since, the cost of per gallons is some fixed.

ANSWERED AT 17/10/2019 - 09:09 AM


QUESTION POSTED AT 17/10/2019 - 09:09 AM

Line segment WX is the radius of circle X, and line segment ZY is the radius of circle Y. Points W, X, C, Y, and Z are all on line segment WZ. What is the area of circle C, which passes though points W and Z? 81 164 324 1296

Point D is the midpoint of the outer circle that we aim to find the area of

The circle has a diameter of WZ and radii of WC and CZ

We know that YZ=YD=10 cm

Let DC be x and CY be 10-x

The radius of the outer circle can be written as 8+8+x or 10+10-x which we can equate to find the value of x

8+8+x=10+10-x
16+x=20-x
2x=4
x=2

Therefore, the radius of the circle is 8+8+2=18

And hence the area of the circle is   \pi (18^{2})=324 \pi

ANSWERED AT 17/10/2019 - 09:07 AM


QUESTION POSTED AT 17/10/2019 - 09:07 AM

Please find the volume of each figure . Please show and explain all work or you will be reported do all and not some . 40) A 5m×3m×4m rectangular prism 41) A cube with edge of 6 ft 42) A cylinder with a height of 14 cm and base Diameter of 10 cm 43) A triangular prism with a base area of 15 square inches and height of 12 inches . 44) A cylinder with a base circumference of 8pi and height 7 45) A box has a volume of 24 ft^3 and base of 2 ft by 3 ft, what is the height ?

Volume formulas:
rectangle prism: l×w×h
cube: s^3
cylinder:(pi)r^2×h
triangle prism: (a×b/2)×h
cylinder:(pi)r^2×h
box:l×w×h

40) 5m×3m×4m =15m×4m= 60m^3

41) 6 ft × 6 ft ×6 ft = 36 ft × 6 ft = 216 ft^3

42) d=2r 10/2=5 r=5
3.14×5^2×14=78.5×14= 1099cm^3


43) 15=a×b/2 (area of trianlge)
15×12= 180in^3

44) c=2 (pi)r 8pi=2r (pi)
r=4
3.14×4^2×7=50.24×7=351.68

45) 24 ft^3 =2 ft × 3 ft × height
24=6×h
÷6 both sides
h=4ft

ANSWERED AT 17/10/2019 - 09:06 AM


QUESTION POSTED AT 17/10/2019 - 09:06 AM

Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle. Part 1: How many radians does the minute hand move from 3:35 to 3:55? (Hint: Find the number of degrees per minute first.) Part 2: How far does the tip of the minute hand travel during that time?

Part1

there are 360° in a circle (clock), and thus if we check how many degrees in a clock with 60minutes, then it'd be 360/60, or 6° per minute

now, the clock went from 3:35 to 3:55, 20 minutes, how many degree is that? 6*20

part2

\bf \textit{length of an arc}\\\\
s=\cfrac{r\theta\pi }{180}\qquad 
\begin{cases}
r=radius\\
\theta=\textit{angle in degrees}\\
----------\\
r=4\\
\theta=6\cdot 20
\end{cases}\implies s=\cfrac{4\cdot 6\cdot 20\cdot \pi }{180}

ANSWERED AT 17/10/2019 - 09:06 AM


QUESTION POSTED AT 17/10/2019 - 09:06 AM

Can someone help me find the area of the shaded region? is it just the area of the circle?

The shaded region is the area of the circle minus the area
of the pentagon.
A circle = pi * r^2
A circle = pi * 15^2
A circle = 706.5 cm^2

A regular pentagon = (a * p)/2 where a is the apothem, p is the perimeter.
The apothem id the perpendicular height from the midpoint of a side to the center of the pentagon.
To find the apothem you have to use a trig ratio.
A pent = (8.3 * 12*5)/2
A pent = 249 cm^2

Shaded region: circle - pentagon 706.5 - 249 = 457.5

ANSWERED AT 17/10/2019 - 09:04 AM


QUESTION POSTED AT 17/10/2019 - 09:04 AM

A quadratic equation is shown below: 3x2 − 16x + 2 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. Part B: Solve 9x2 + 3x − 2 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

NightowlPart A)The discriminant of 3x2 − 16x + 2 is 232. That tells us there are 2 real solutionsPart B) solve by factoring9x2 + 3x − 2 = 0(3x+2)(3x-1)=03x+2 = 0    or   3x-1 = 0
x = -2/3   ,  1/3

ANSWERED AT 17/10/2019 - 09:03 AM


QUESTION POSTED AT 17/10/2019 - 09:03 AM

A parallelogram with sides of 6 and 10 has an area of 30. Find the measure of the small angle of the parallelogram.

Answer:

45

Step-by-step explanation:


ANSWERED AT 17/10/2019 - 09:02 AM


QUESTION POSTED AT 17/10/2019 - 09:02 AM

The angle measures of quadrilateral RSTU are shown. m∠R = (2x)° m∠S = (3x – 35)° m∠T = (x + 35)° The measure of angle U is unknown. Can quadrilateral RSTU be a parallelogram?

Answer:

No, RSTU can not be a parallelogram.

Step-by-step explanation:

Given,

The angles measures of quadrilateral RSTU are,

m∠R = (2x)°

m∠S = (3x – 35)°

m∠T = (x + 35)°

Since, the sum of all interior angles of a quadrilateral is 360°.

m∠R +  m∠S +  m∠T +  m∠U = 360°

⇒ (2x)°  + (3x – 35)°  + (x + 35)° + m∠U = 360°

⇒ 6x + m∠U = 360°     ( By operating like terms )

m∠U = 360° - 6x      ( Subtracting 6x on both sides )

Now, we know that, the opposite angles of parallelogram are congruent or equal,

If RSTU is a parallelogram,

Then, m∠R =  m∠T and  m∠T = m∠U,

When, m∠R =  m∠T ⇒ (2x)° = (x + 35)° ⇒ x = 35°,

But, for x = 35°, 35+ 35 ≠ 360° - 6 × 35

m∠T ≠ m∠U

Hence, RSTU can not be a parallelogram.

ANSWERED AT 17/10/2019 - 09:01 AM


QUESTION POSTED AT 17/10/2019 - 09:01 AM

. Find the volume of the composite space figure to the nearest whole number. 210cm^3 180cm^3 120cm^3 60cm^3

 n           i              g             g                   a   :)

Hope this helps you

ANSWERED AT 17/10/2019 - 09:01 AM


QUESTION POSTED AT 17/10/2019 - 09:01 AM

The area of a square game board is 144 sq.in.whats the lenght of the sides of the board

Bear in mind that, a square is just a rectangle with all equal sides, thus, if say one side is length "x", all sides are "x" long then

check the picture below

ANSWERED AT 17/10/2019 - 09:01 AM


QUESTION POSTED AT 17/10/2019 - 09:01 AM

The graph of the function B is shown below. Find B(1)

Can you take a picture of the graph to answer your question

ANSWERED AT 17/10/2019 - 09:00 AM


QUESTION POSTED AT 17/10/2019 - 09:00 AM

The cost of renting a canoe is $8 for the first hour plus another $3 for each additional hour. Which of the following represents this situation, where C is the total cost of renting a canoe for h hours?

Answer:

C(h)=3h+5

Step-by-step explanation:

Let

h-----> the number of hours

C-----> the cost of renting a canoe

we know that

C(h)=8+3(h-1)

C(h)=8+3h-3

C(h)=3h+5 ------> equation that represent the situation

ANSWERED AT 17/10/2019 - 08:56 AM


QUESTION POSTED AT 17/10/2019 - 08:55 AM