PLEASE help!!!
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.

PLEASE Help!!! Find The Area And The Perimeter Of The Shaded Regions Below. Give Your Answer As A Completely

Answers

Answer 1

Answer:

 

Step-by-step explanation:

The shaded regions consist of a triangle and a semicircle

Area of shaded regions = Area of Triangle + Area of semicircle

Area of Triangle = (h x b) ÷ 2

Height, h = 10 cm

Base, b = 8 cm

Are of the triangle component = (10 x 8) ÷ 2

= 80 ÷ 2

= 40 cm^2

 Area of semicircle = πr^2 ÷ 2

Diameter, D = 8 cm

Radius, r = 8 cm ÷ 2 = 4 cm

Are of the semicircle component = [π(4^2) ÷ 2)

= 16π ÷ 2

= 16π cm^2

 Total area of shaded regions

= (40+16π) cm^2

= 8 (5 +2π) cm^2

Answer 2

Answer:

[tex]\boxed{\sf Area = 8\pi + 40\ cm^2}[/tex]

[tex]\boxed{\sf Perimeter = 4\pi + 22\ cm}[/tex]

Step-by-step explanation:

Area of the figure:

Firstly: Area of semicircle:

[tex]\sf \frac{\pi r^2}{2} \\Where\ r = 4 \ cm\\\frac{\pi (4)^2}{2} \\\frac{16 \pi}{2}\\8 \pi \ cm^2[/tex]

Then Area of Triangle

[tex]\sf 1/2 (Base)(Height)\\1/2(10)(4)\\10*2\\20\ cm^2[/tex]

Area of Figure = Area of Semicircle + 2(Area of triangle)

=> 8π + 2(20)

=> 8π + 40 cm²

Perimeter of Semicircle:

Firstly, we'll have to find the hypotenuse

[tex]\sf c^2 = a^2+b^2\\c^2 = 4^2+10^2\\c^2 = 16+100\\c^2 = 116\\c = 11\ cm[/tex]

Then, Perimeter of the semi-circle:

=> πr

Where r = 4 cm

=> 4π

Now, the perimeter of the whole figure:

=> 4π + 2(11)

=> 4π + 22 cm


Related Questions

Which is the simplified form of r to the negative 7th power plus s to the negative twelve

Answers

Answer:

1/r^7 + 1/s^12

Step-by-step explanation:

Since there is a negative exponent, the term becomes a fraction. As we do not know the value of the term, it remains in its variable form with a positive exponent

Anyone who can help me with this?

Answers

Answer:

C

Step-by-step explanation:

We know that the first integer will be "l" so the second will be l + 1, third will be l + 2, fourth will be l + 3, and the fifth will be l + 4. The question says "the greatest is g" so that means that the fifth integer is the greatest meaning that is the value of g. Now that we know the value of g, we can substitute it into the equation they gave us and simplify.

l+(l+4)/2

2l+4/2

l + 2

Best of Luck!

Answer:

C

Step-by-step explanation:

say your 5 consecutive numbers are 6-10

if 6 is l and 10 is g then

6+10 over 2 equals 8

this proves that l+2 is correct since 6+2=8

Combine like terms in the given polynomial. Then, evaluate for x = 4, y = – 2.
xy – 2xy + 3x2 y — 4x y2 + 2xy2
3x2 y + 2xy2 – xy; – 56
C - xy – 2xy2 + 3x2y; – 56
Cx? y2 – 2; 62
C
– 2x y2 + 3x2y – xy; – 120

Need explanation please

Answers

Answer:

- 2 x y^2+3 x^2 y -xy

-120

Step-by-step explanation:

xy – 2xy + 3x^2 y — 4x y^2 + 2xy^2

Combine like terms

xy – 2xy + 3x^2 y — 4x y^2 + 2xy^2

- x y+3 x^2 y - 2 x y^2

Let x = 4 y = -2

-(4)(-2) +3(4)^2 (-2) -2(4)(-2)^2

Exponents first

-(4)(-2) +3(16) (-2) -2(4)(4)

Multiply

+8 -96-32

Add and subtract

-120

29. SCUBA DIVING The sign shows the equipment rented or sold by a scuba
diving store.
a. Write two expressions to represent the total sales to rent 2 wet suits,
3 air tanks, 2 dive flags, and selling 5 underwater cameras.
b. What are the total sales?

Answers

The total sales to rent the diving items are :

2(17.25) + 3(15.50) + 2(5.00) + 5(18.99)

2(17.25 + 5.00) + 3(15.50) + 5(18.99)

The total sales to rent the diving items is : $185.95

Given the following rental cost:

Underwater Camera = $18.99

Air tank = $15.50

Wet Suit = $17.25

Dive Flag = $5.00

Expressions to represent the cost of :

2 wet suits, 3 air tanks, 2 dive flags and 5 underwater cameras

Price = price per item × quantity purchased

Expression 1 :

2(17.25) + 3(15.50) + 2(5.00) + 5(18.99)

Similarly, we could group items with the same quantity together :

2(17.25 + 5.00) + 3(15.50) + 5(18.99)

Using either of the two expressions above, the total sales can be calculated thus :

2(17.25 + 5.00) + 3(15.50) + 5(18.99)

2(22.25) + 3(15.50) + 5(18.99)

44.50 + 46.50 + 94.95

= $185.95

The expressions for the total sales to rent the diving items are given above with a total sales value of $185.95

Learn more : https://brainly.com/question/24395568

Will Give Brainliest, Answer ASAP m∠O =
m∠N =

Answers

Answer:

∠ O = 61°, ∠ N = 119°

Step-by-step explanation:

In a parallelogram

Consecutive angles are supplementary

Opposite angles are congruent, thus

x + 2x - 3 = 180

3x - 3 = 180 ( add 3 to both sides )

3x = 183 ( divide both sides by 3 )

x = 61°

Thus

∠ O = ∠ M = x = 61°

∠ N = ∠ P = 2x - 3 = 2(61) - 3 = 122 - 3 = 119°

Is this right answer??????………

Answers

Yes ?!???!?!?!?!?!??!?

Answer:

6 is correct....

actually this problem is quite si,p;e to see that it is correct

notice that the length of the triangle is 4 and the height is 3

thus a rectangle 4*3 area is twelve ...

if you make a copy of the triangle and flip it you will see it makes

a 4x3 rectangle ... the original and copy = 12 thus 1/2 of the 12 is the area of the original triangle

Step-by-step explanation:

I'LL GIVE BRAINLIEST !!! FASTERR !

Answers

Answer:

opt. B

Step-by-step explanation:

g=60 because equilateral triangle ang=60

<KMN=120 because of linear pair

<h= 180-(120+29)= 31

g+h= 60+31= 91

Find the equation of the line that
is parallel to y = 4x + 1 and
contains the point (1, 1).
y = [? ]X + [ ]

Answers

Answer:

y = 4x - 3

Step-by-step explanation:

A parallel line will have the same slope so the slope will remain 4. To fine the new y-intercept, we can substitite the point we are given.

1 = 4(1) + b

1 = 4 + b

-3 = b

Now, we can create the new equation with the information we found.

y = 4x - 3

Best of Luck!

Answer: y = 4x - 3

Step-by-step explanation:

y-y=m(x-x)

y-1=4(x-1)

y-1=4x-4

y=4x-3

ASAP PLZ ANSWER 50 POINTS How do I determine if -3x+y =8 is a function?

Answers

Answer:

To determine if Y=-8 is a function, you must do the vertical line test. If you were to plot Y=-8 on a coordinate plane, you would see that at the point of (0,-8)[which is what Y=-8 is also] is on the Y axis and makes a horizontal linet hat passes through (o,-8).

Step-by-step explanation:

Answer:

graph

Step-by-step explanation:

did you mean in graph

asap!!
~~~~~~
A line passes through point (–6, –1) and is parallel to the equation y = –2x – 5. What's the equation of the line?

Question 25 options:

y = –2x – 13

y = 12{"version":"1.1","math":"\(\frac{1}{2}\)"}x + 3

y = –12{"version":"1.1","math":"\(\frac{1}{2}\)"}x – 1

y = 2x + 5

click on picture for a, b, c ,or d

Answers

Answer:

y=−2x−13.

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=−2x−5.

The slope of the parallel line is the same: m=−2.

So, the equation of the parallel line is y=−2x+a.

To find a, we use the fact that the line should pass through the given point: −1=(−2)⋅(−6)+a.

Thus, a=−13.

Therefore, the equation of the line is y=−2x−13.

A trader bought a bag for 125gh cedis. he later sold it at a profit of 30%. What is his selling price

Answers

Answer:

162.5 Cedis

Step-by-step explanation:

Cost Price= 125

Profit % = 30%

Selling price=?

Selling price= Cost price+ profit

Profit = ?

[tex]profit \% = \frac{profit}{cost \: price} \times 100[/tex]

[tex]30 \% = \frac{x}{125} \times 100[/tex]

[tex]30 \% = \frac{100x}{125} \\ 30 \times 125 = 100x[/tex]

[tex]3750 = 100x \\ \frac{3750}{100} = \frac{100x}{100} \\ x = 37.5[/tex]

Profit = 37.5 gh Cedis

Selling price= 125+37.5

Selling price= 162.5 gh Cedis

The selling price of a bag is 162.5Cedis.

It is required to find the selling price.

What is profit?

The profit is defined as the amount gained by selling a product, and it should be more than the cost price of the product.

Given that :

Let the profit be x.

Cost Price= 125

Profit % = 30%

profit%=profit/cp*100

30=profit/125*100

3750=100x

x=37.5

profit=37.5

Selling price= Cost price+ profit

Selling price=125+37.5

Selling price=162.5ghcedis

So, the selling price of a bag is 162.5Cedis.

Learn more about profit here:

https://brainly.com/question/17189085

#SPJ2

Write the Roman numeral CLXXIX in standard form.​

Answers

179 is the answer

hope it helps

Answer:

179 = CLXXIX = 100 + 50 + 10 + 10 + 10 − 1

Step-by-step explanation:

Numbers close to CLXXIX

Below are the numbers CLXXVI through CLXXXII, which are close to CLXXIX. The right column shows how each roman numeral adds up to the total.

176 = CLXXVI = 100 + 50 + 10 + 10 + 5 + 1

177 = CLXXVII = 100 + 50 + 10 + 10 + 5 + 1 + 1

178 = CLXXVIII = 100 + 50 + 10 + 10 + 5 + 1 + 1 + 1

179 = CLXXIX = 100 + 50 + 10 + 10 + 10 − 1

180 = CLXXX = 100 + 50 + 10 + 10 + 10

181 = CLXXXI = 100 + 50 + 10 + 10 + 10 + 1

182 = CLXXXII = 100 + 50 + 10 + 10 + 10 + 1 + 1

Symbol Value

I 1

V 5

X 10

L 50

C 100

D 500

M 1000

I hope this helps.

WILL GIVE BRAINLIEST:
Elanor wants to estimate the number of frogs in a reservoir.
She catches 90 frogs from the reservoir and marks them with a non-harmful dye.
Elanor then returns the frogs to the reservoir.
The next day she catches another 70 frogs and 10 of these are marked with the dye.
Work out an estimate for the total number of frogs in the reservoir.

Answers

Answer:

approximately 150 frogs

Step-by-step explanation:

To find your estimate, you have to add 90 + 60 because from the 70 that Elanor caught the second day, 10 of them were the ones that she had caught the day before so you have to do 70 - 10 = 60. Therefore, 90 + 60 = 150 estimated frogs.

What are the coordinates of the point on the directed line segment from (−5,−9) to (-1, 7) that partitions the segment into a ratio of 5 to 3?

Answers

Answer:

(-2.5,1)

Step-by-step explanation:

Let the point be (m, n). Using section formula we have

m=(5*(-1)+3*(-5))/(5+3)=-20/8=-2.5

n=(5*(7)+3*(-9))/(5+3)=1

Om had a balance of 546 in his checking account. He made a deposit of $56, and wrote checks for $17 and $30. His bank charged him a $3 service fee. How much
honey does Om have in the account?

Answers

Answer:

540

Step-by-step explanation:

546-56=490

490+17+30=537

537+3=540

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
A ___________________ summarizes all values in a data set and lists how many times they occur.
A. tally chart
B. data value
C. data summary
D. frequency table

Answers

Answer:

Step-by-step explanation:

B) data summary its in the words it sums up the answers to all the data you've collected over timew

whats the answer to this problem/how to figure it out?!

Answers

6x^2+4x+8

6x7^2+4x+8

blah  blah blah

ANSWER

330

pls say if im right

Answer:

330

Step-by-step explanation:

[tex]6x^2 +4x +8\\x =7\\\\6(7)^2 +4(7) +8\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:\left(7\right)^2\::\quad 49\\\\=6\cdot \:49+4\left(7\right)+8\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:6\cdot \:49\::\quad 294\\\\=294+4\left(7\right)+8\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\left(7\right)\::\quad 28\\\\=294+28+8\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:294+28+8\:\\:\quad 330[/tex]

Simplify each of the following, giving your answers with positive indices. f⁴÷f³×f​

Answers

Answer:

The answer

f^2

Step-by-step explanation:

So first we write down the expression

f^4/f^3 x f

now we follow the BODMAS

B - Brackets

O - Power

D - Division

M - Multiplication

A - Addition

S - Subraction

________________________________________

So this in equation (f^4/f^3 x f) we have to first divide. So in algebra when dividing, we have subtract the number.

Here

f^4-3 = f

so now we are left

f x f

when you times sometimes by itself we call it squared so you write it as

= f^2

The slope of a line parallel to y=-1/2x+1 is:

A. 2.
B. -1/2.
C. 1.

Answers

Answer:

-1/2. The slope of a line parallel to another line will be the same. Using the slope-intercept form formula, y=mx + b where m is the slope, we know that the slope is -1/2.

0.21212121 as a fraction

Answers

Answer:

21212121/100000000

Step-by-step explanation:

21212121/100000000 cannot be simplified

Hope this helps!

Answer:

0.21212121 Cannot be converted into a fraction

In 2002, the population of a district was 22,800. With a continuous annual growth rate of approximately 5% what will the population be in 2012 according to the exponential growth function?

Answers

Answer:

37,139

Step-by-step explanation:

Given the following :

Population in 2002 = Initial population (P0) = 22,800

Growth rate (r) = 5% = 0.05

Growth in 2012 using the exponential growth function?

Time or period (t) = 2012 - 2002 = 10years

Exponential growth function:

P(t) = P0 * (1 + r) ^t

Where P(t) = population in t years

P(10) = 22800 * (1 + 0.05)^10

P(10) = 22800 * (1.05)^10

P(10) = 22800 * 1.62889

P(10) = 37138.797

P(10) = 37,139 ( to the nearest whole number)

Which of the following is true about these similar triangles?
A. AB/BC = DE/DF
B. AB/BC = DE/EF
C. AB/BC = BC/DF
D/ AB/BC = BC/AB

Answers

Answer:

B

Step-by-step explanation:

You have to match up the corresponding sides in the 2 triangles

The sides you have to find are AB/BC

The side that corresponds to AB in triangle DEF is DE

The side that corresponds to BC is EF

cho tam giác ABC cân tại A trung tuyến AM.Biết BC=6cm,AM=4cm .Tính độ dài các cạnh AB và AC

Answers

Vì tam giác ABC cân tại A (gt) mà AM là đg trung tuyến nên AM đồng thời là đg cao của t/giác đó:

AM là trung tuyến của t/giác ABC nên M là trung điểm BC:

=> BM =BC/2 =6:2=3(cm)

Xét tam giác AMB vuông tại M

AB^2 =AM^2+BM^2 ( theo định lý Py-ta -go)

On a horizontal number line, numbers to the...... are less than numbers to the..... Numbers to the right are........ numbers to the left.

Answers

on a horizontal number line . numbers to the left are less than numbers to the right .. numbers to the right are less than numbers to the left

PLEASE help me solve this question! No nonsense answers please!

Answers

Answer:

[tex]\boxed{\sf Option \ 1}[/tex]

Step-by-step explanation:

The profit is revenue (R ) - costs (C ).

Subtract the expression of costs (C ) from revenue (R ).

[tex]10x-0.01x^2-(2x+100)[/tex]

Distribute negative sign.

[tex]10x-0.01x^2-2x-100[/tex]

Combine like terms.

[tex]8x-0.01x^2-100[/tex]

The first option has a positive 100, which is wrong.

The rest options are right, when we expand brackets the result is same.

A tent is in the form of a right circular cylinder and cone. The radius of the cone and cylinder is 4 meters. The height of the cylinder and cone are 4.5 meters and 3 meters respectively. Find the outer surface area of the tent. (Assume π = 22 /7)

Answers

Answer:

176m²

Step-by-step explanation:

When we are asked to find the outer surface area of a geometric shape, it means to find the Lateral or Curved Surface Area of the shape. We are given two shapes above.

Step 1

Find the Outer surface area of the cone

Outer / Lateral surface area of a cone =

πrl

Where l = √r² + h²

r = 4 m

h = 3m

Outer surface area = 22/7 ×√4² + 3²

= 22/7 × √16 + 9

= 22/7 × √25

= 22/7 × 5

= 62.83185m²

Step 2

Find the outer surface area of a cylinder

= 2πrh

π = 22/7

r = 4m

h = 4.5

π = 22/7

Outer surface area of a cylinder = 2 × 22/7 × 4 × 4.5

= 113.09734m²

Step 3

The Outer Surface Area of the Tent = Outer Surface Area of the cone + Outer Surface Area of the cylinder

= 62.83185m² + 113.09734m²

= 175.92919m²

Approximately ≈ 176m²

Therefore, the outer surface area of the tent = 176m²

Clifton drove for 3 hours at 52 mph. How fast must he drive during the next hour in order to have an average speed of 55 mph?

Answers

Answer:

64 mph

Step-by-step explanation:

Given that:

Speed for the first 3 hours = 52 mph

Average speed for 4 hours = 55 mph

To find:

Speed for the next hour = ?

Solution:

Formula for average speed is given as:

[tex]Average\ Speed = \dfrac{Total\ Distance}{Total \ Time \ Taken}[/tex]

Formula for Distance:

[tex]Distance =Speed \times Time[/tex]

Distance traveled in first 3 hours:

[tex]Distance =52\times 3 = 156\ miles[/tex]

Let the speed for the next hour = u mph

Distance traveled in 1 hour = [tex]u \times 1 = u\ miles[/tex]

Total distance traveled = (156 + u) miles

Total time = 4 hours

Average Speed = 55 mph

Putting the values in formula:

[tex]55 = \dfrac{156+u}{4}\\\Rightarrow 220 = 156+u\\\Rightarrow \bold{u = 64\ mph }[/tex]

So, the answer is: 64 mph

Two trains station at the same time one travels east at 8 miles per hour .The other train traveles east at 8 millas per hour the other train travels west at 11 miles per hour in how many hours will the two trains apart

Answers

What is your question ? This isn’t clear

let the cp be rs x. if a man gains 20% profit by selling an article for rs 816. find cp​

Answers

Answer:

Let, the c.p be x.

Given,

profit % = 20%

S.P = rs 816

c.p = x

We know,

profit = p% of c.p

         = [tex]\frac{20}{100}[/tex] * x

         = [tex]\frac{x}{5}[/tex]

now,

   C.p = profit + s.p.

        x = [tex]\frac{x}{5}[/tex] + 816

        x = [tex]\frac{x+ 4080}{5}[/tex]

       5x = x + 4080

       5x-x = 4080

       4x = 4080

         x = [tex]\frac{4080}{4}[/tex]

         x = Rs 1080

Hence, the c.p is Rs. 1080

Evaluate the expression

Answers

Answer:

3

Step-by-step explanation:

(5x -2y) / y

Let x = -4 and y = -4

(5*-4  - 2*-4) / -4

(-20 +8) / -4

-12/ -4

3

Hey there!

5x - 2y / y

= 5(-4) - 2(-4) / -4

5(-4)

= -20

(2)(-4)

= -8

= -20 - (-8) / -4

= -20 + 8 / -4

-20 + 8

= -12

= -12 / -4

= 3

Therefore, your answer is: 3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Other Questions
Two cyclists, 63 miles apart, start riding toward each other at the same time. One cycles 2 times as fast asthe other. If they meet 3 hours later, what is the speed (in mi/h) of the faster cyclist?a. Write an equation using the information as it is given above that can be solved to answer this problem.Use the variable r to represent the speed of the slowercyclist.b. What is the speed of the faster cyclist?mi/hr Point R is on line segment QS. Given RS=11 and QS=19, determine the length QR. A dance studio charges $12 per dance class. The studio is offering a 15% discount if you pay a set of 5 classes now. How much does it cost to buy 5 classes with this offer? HELP PLSSSSSSS ASAP FIRST CORRECT ANSWER WILL GET BRANLIST. A bunny accidentally knocks a basket of eggs off of a table. Luckily the basket lands safely on the floor with all the eggs unbroken. Air resistance is negligible. What is the acceleration of the egg-basket system in midair? A)The acceleration cannot be determined without knowing how hard the basket was pushed. B) Acceleration is downward and less than g because the eggs are light. C) The acceleration fluctuates because of the rolling of the eggs. D) Acceleration is downward with a magnitude of g because the system is a projectile. An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 3.6 mm, how many of these components should she consider to be 90% sure of knowing the mean will be within 0.1 0.1 mm? NEDD HELP ASAP DRIVERS EDUCATION give at least three precautions the driver should take when driving in fog and the reasons for taking these precautions 9x square divided by 3x 20 POINTS!! What is the greatest common factor (GCF) of 100^2 - 250xy + 75x?A. XB. 25x^2C. 25xD. 5x answer answer answer answer Brenda has an associates degree earning the median salary. She wants to quit working and go to college to get just a basic bachelors degree. If she completes her degree in 2 years and it costs $15,000, how long will it take her to recover her investment assuming that she earns the median salary? A graph titled Median Annual Household Income by Educational Attainment of Householder, 1997. Professional degree, 92,228 dollars; doctorate degree, 87,232 dollars; master's degree, 68,115 dollars; Bachelor's degree or more, 63,292 dollars; Bachelor's degree, 59,048 dollars; associate degree, 45,258 dollars; some college, no degree, 40,015 dollars; high school graduate, 33,779 dollars; ninth to twelfth grade, 19,851 dollars; than twelfth grade, 15,541 dollars. a. almost 6 years b. almost 7 years c. almost 8 years d. almost 9 years If a= -5 and b= -2,then what is the value of [a-b]2 According to information found on the production analysis page of the Inquirer, Chester sold 1127 units of Cute in the current year. Assuming that Cute maintains a constant market share, all the units of Cute are sold in the Nano market segment and the growth rate remains constant, how many years will it be before Cute will not be able to meet future demand unless the company adds production capacity Milner Developers proposed an offer to Henry Wright,an independent contractor,offering to hire him for their next project.They offered him a certain rate and specified the contract details along with describing the stipulated mode of acceptance but received no response.Wright responded to the offer after a delay of two months with a quote for a higher amount than that mentioned by Milner Developers.Do the two parties have a binding contract?A) No,because the offer made by Milner Developers was ambiguous.B) No,because Wright's letter was a counteroffer to the original offer.C) Yes,because Milner Developers did receive a response from Wright.D) Yes,because Wright's silent signaled his acceptance of the offer. 3. Find x.Please help me Describe the similarities between H3O and NH3. Compare/contrast their shapes and polarities within the context of your answer. These molecules are called isoelectronic. Why Which quotation from Paragraph 4 helps shape the central idea of the passage?Well, considering that they have the article itself in such an attractive aspect, they ought to manage to get along without the word.They say there is no word for home in the French language.No word describes it so felicitously as that one.I have observed that Frenchmen abroad seldom wholly give up the idea of going back to France some time or other. how can new stuff be made from old stuff how many are 2 raised to 2 ??? If y = 3x +1 were changed to y = x+1, how would the graph of the new functioncompare with the original?A. It would be shifted down.B. It would be shifted up.C. It would be less steep.D. It would be steeper. Huron Company produces a commercial cleaning compound known as Zoom. The direct materials and direct labor standards for one unit of Zoom are given below: Standard Quantity or Hours Standard Price or Rate Standard Cost Direct materials 5.50 pounds $ 2.50 per pound $ 13.75 Direct labor 0.50 hours $ 6.50 per hour $ 3.25 During the most recent month, the following activity was recorded: 1. Ten thousand six hundred pounds of material were purchased at a cost of $2.40 per pound. 2. The company produced only 1,060 units, using 9,540 pounds of material. (The rest of the material purchased remained in raw materials inventory.) 3. 630 hours of direct labor time were recorded at a total labor cost of $7,560. Required: Compute the materials price and quantity variances for the month. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values. Do not round intermediate calculations.)