A section of a deck is shaped like a trapezoid. For this section, the length of one base is 65 feet, and the length of the other base is 44 feet. The height is 30 feet. What is the area of this section of the deck? The area for the section of the deck is ft2.

Answers

Answer 1

Answer:

1635 feets²

Step-by-step explanation:

The Area of a trapezoid is given as :

1/2 (a +b)h

Where ;

a and b are the base of the trapezoid

h = height

From the question :

a = 65 feets

b = 44 feets

h = 30 feets

Area, A = 1/2(65 + 44) * 30

A = 1/2 (109) * 30

A = 1635 feets²


Related Questions

3/3 x 1/3 will have a poduct less than 1/3/

Answers

Answer:

False

Step-by-step explanation:

3 over 3 is equal to 1. So 1 multiplied to 1 over 3 would equal 1/3.

Find the Area of the trapezoid.

A. 56
B. 28
C. 49
D. 35

Answers

Answer: b

Step-by-step explanation:

The picture is attached

Answers

Answer:

Step-by-step explanation:

A)

3x+1

B)

2Cos(2x-1)

5) A grocery store paid $147.98 for 7 crates of milk. This can be
expressed by the equation Y=KX. How much was it for one
crate?


Please help !

Answers

Answer: x= 21.14

Step by Step: $147.98 = 7x
147.98/7 =21.14

Rationalize the denominator
7√5 - 5√2
---------------
5√2 - 2√5

Answers

Answer:

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

=> 5√3-5√2 × 5√3+5√2

=> 25×3 - 25×2 [(a-b) (a+b) = a²-b²]

=> 75 - 50=> 25

What is closure property ?

Answers

Answer:

In mathematics, a set is closed under an operation if performing that operation on members of the set always produces a member of that set. For example, the positive integers are closed under addition, but not under subtraction: 1 − 2 is not a positive integer even though both 1 and 2 are positive integers.

Step-by-step explanation:

I hope this helps you out.

Todd drove from baltimore, Md to new york city a distance of 192 miles. How many feet did todd drive??

Answers

Answer:

1.014e+6

Step-by-step explanation:

can't explain, I would if I could

Answer:

1,013,760 Feet

Step-by-step explanation:

A mile is equal to 5,280 feet

Give me Brainllest plz

PLEASE HELP I’ll give brainlest

Answers

X=9,2 Plz give brainliest

Answer:

x = 10

Step-by-step explanation:

∡BDC = ∡ABD

ΔDBC = 20 + 5x - 2 + 112

180 = 20 + 5x - 2 + 112

180 = 5x + 130

50 = 5x

10 = x

Emily works at a music store where she repairs guitars. She keeps track of the types of guitars she's fixed and the types of repairs she's made. Her records appear in the table below.
Calculate the following percentages based on the frequency table.
Round to the nearest hundredth of a percent.

Answers

Answer:

1. 31.3%

2. 34.35%

3.62.6%

Step-by-step explanation:

There were 131 acoustic guitars, and 41 of them needed neck repair.

41/131 = 0.3130 = 31.3%

There were 262 total guitars serviced by Emely. 60 of them were acoustic and needed a string repaired, and 30 of them ere acoustic and needed repair, so 90 of them were acoustic and did not need neck repair.

90/262 = 0.3435 = 34.35%

There were 131 electric guitars. 48 of them had a broken string and 34 of them needed body repairs. So 82 of them needed either string or body repairs.

82/131 = 0.6260 = 62.6%

8. If v2 = u2+2gs, find the value of s when v = 25,
u= 12 and g = 10.

Answers

Answer:

s = 24.05

Step-by-step explanation:

Given

v² = u² + 2gs ← substitute v = 25, u = 12, g = 10

25² = 12² + (2 × 10 × s)

625 = 144 + 20s ( subtract 144 from both sides )

481 = 20s ( divide both sides by 20 )

24.05 = s

Steve has a hammer that is 0.29 meters long. Which expression is equal to the length, in meters, of Steve's hammer?

Answers

Answer:

x = 0.29 m

Step-by-step explanation:

Given :

The length of the hammer is = 0.29 m

The hammer is a tool that may be used in various operation or work by mechanics, plumbers, or masonries and even by normal people.

So let the length of the hammer be x.

The length of the hammer is expressed in meters or inches or centimeters.

Therefore, the expression of length of the hammer is expressed as x = 0.29 m.

Help ME DUE in 10 mins WILL GIVE BRAINIEST IF HELP!!! SHOULD BE EASY FOR SOME

Answers

Answer:

-9n - 3

Step-by-step explanation:

5738 divided by 8 (i only need the remainder)

Answers

Answer:

717.25 that's the answer

5738 divided by 8 but you only want the R and the R is 2869

HELP ME Using the following equation, complete the square and find the center and radius of the circle:
x2 + y2 + 4x − 6y − 12 = 0

You must show all work and calculations to receive credit.

Answers

Answer: [tex](-2,3)[/tex], [tex]r=5\ \text{units}[/tex]

Step-by-step explanation:

Given

the equation is [tex]x^2+y^2+4x-6y-12=0[/tex]

completing the square

[tex]\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2[/tex]

Thus, the center of the circle is [tex](-2,3)[/tex] and radius is [tex]r=5\ \text{units}[/tex]

A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the
minimum surface area? Calculate the minimum surface area.

Answers

Answer:

The dimensions that give the minimum surface area are:

Length = 14cm

width = 14cm

height = 14cm

And the minimum surface is:

S = 1,176 cm^2

Step-by-step explanation:

A regular rectangular prism has the measures: length L, width W and height H.

The volume of this prism is:

V = L*W*H

The surface of this prism is:

S = 2*(L*W + H*L + H*W)

If the base of the prism is a square, then we have L = W

Then the equations become:

V = L*L*H = L^2*H

S = 2*(L^2 + 2*H*L)

We know that the volume of the figure is 2744 cm^3

Then:

V = 2744 cm^3 = H*(L^2)

In this equation, we can isolate H.

H = (2744 cm^3)/(L^2)

Now we can replace this on the surface equation:

S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))

S = 2*L^2 + 4(2744 cm^3)/L

Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.

S' = 2*(2*L) - 4*(2744 cm^3)/L^2

This is equal to zero when:

0 = 2*(2*L) - 4*(2744 cm^3)/L^2

0 = 4*L*L^2 - 4*(2744 cm^3)

4*(2744 cm^3) = 4*L^3

2744 cm^3 = L^3

∛(2744 cm^3) = L = 14cm

Then the length of the base that minimizes the surface is L = 14.

Then we have:

H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm

Then the surface is:

S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2

There is a population of 192,500 bacteria in a colony. If the number of bacteria doubles every 238 minutes, what will the population be 476 minutes from now?

Answers

Answer: [tex]770,000[/tex]

Step-by-step explanation:

Given

The present population of bacteria is [tex]1,92,500[/tex]

It doubles in every 238 minutes

So, after 238 minutes it is

[tex]\Rightarrow 192,500\times 2=385000[/tex]

After another 238 minutes i.e. 476 minutes from starting, they becomes

[tex]\Rightarrow 385000\times 2=770,000[/tex]

please help me out :))

Answers

Answer:

144

Step-by-step explanation:

It rotates out of 360 degrees, and since it is a pentagon that rotates from two of its vertices, then 360/5 would give us the amount it is rotating from one vertice. So 72. Then multiply it by two because you are moving from e to b.

144

2x + 4y = 22
2x - 2y = -8​

Answers

Answer:

2x+4y=22

-2x+2y=+8

6y=30

y=5

now

replace the value of y in equ i

2x +4y =22

2x+20=22

x=1

Answer: x = 1 y= 5

Step-by-step explanation:

2x + 4y = 22 -

2x - 2y = -8

--------------------

0+6y = 30

Y= 30/6= 5

Substituting,

2x+ 4*5= 22

2x+ 20 = 22

2x= 22-20 = 2

X=2/2=1

The area of a square is 49 square inches or less. Which set describes the domain for s, the
length of one side of the square?

Answers

Step-by-step explanation:

Any positive number can. be a side length. It cannot pass 7 because a square with 49 sqr lnches as a area has side lengths with the measures of 7.

[tex]0 \leqslant x \leqslant 7[/tex]

Can someone please help me ?

Answers

It should be (-4, 0)

Im 75% sure that’s the answer...

PLZZZZZ HELP ILL GIVE BRAINLIEST

Answers

Answer:

Hello! Your answer would be, 199.

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Abby

MAAP REVIEW TEST 1 ATTEMPT Section 1 21 of 6821 of 68 Items 53:53 / 02:20:00 Item 21 Mrs. Peele has 1114 pounds of cookie dough. A batch of cookies requires 212 pounds of cookie dough. How many batches of cookies can Mrs. Peele make? 334 batches 3 and 3 fourths, [if gte msEquation 12]>34 412 batches 4 and 1 half, [if gte msEquation 12]>12 834 batches 8 and 3 fourths, [if gte msEquation 12]>34 2818 batches 28 and 1 eighth, [if gte msEquation 12]>18

Answers

Answer:

4 1/2

Step-by-step explanation:

Mrs. Peele has 11 1/4 pounds of cookie dough. A batch of cookies requires 2 1/2 pounds of cookie dough. How many batches of cookies can Mrs. Peele make?

Number of batches = total pounds of Dough Mrs Peele has / total dough required to make one batch

11 1/4 ÷ 2 1/2

convert the mixed fractions to improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

45/ 4  ÷ 5/2

45 / 4 x 2/5 = 9/2 = 4 1/2

Please help!!!
i don’t understand this

Answers

Answer:

B. is your answer.

Step-by-step explanation:

The dimensions of a rectangular prism are 5 cm, 5 cm, and 2 cm.
Determine the surface area.
A. 50 cm?
B. 25 cm2
C. 60 cm2
D. 120 cm2
E. 90 cm2

ANSWER QUICK PLEASE

Answers

I think the answer is E. 90cm2

What is the radius and center for (x - 2)2 + y2 16? 0000 A. r = 16; center is (2,0) B. r = 4; center is (-2,0) C. r = 16; center is (-2,0) D. r = 4; center is (2,0)​

Answers

Answer:

D. r = 4; center is (2, 0)

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius

Given equation:

(x - 2)² + y² = 16

Rewrite as:

(x - 2)² + (y - 0)² = 4²

The center is (2, 0)

The radius is r = 4

Correct choice is D

General equation

(x-h)²+(y-k)²=r²

Where centre is (h,k)

radius is r

(x-2)²+(y-0)²=4²

Radius=4

centre (2,0)

You went to the mall with $120 and spent $74. What percent was not spent?

Answers

Answer:

38.33

Step-by-step explanation:

Given: Total amount = 120, Amount used = 74

To find: percent that was not spent

Solution: Firstly, find how much is 74 out of 120. To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For this case, to convert 74 to a percentage, 74 x 100 = ...61.67%

Then, 100% - 61.67 = 38.33

"Two vehicles each travelled 200 kilometers in 3 hours, but ended up being 400 kilometers apart. How did this occur?" what kinda math do I need to do to find the answer?

Answers

Answer:

Direction of travel.

Step-by-step explanation:

Given that two vehicles traveled 200 km in 3 hours ;

Distance apart after 3 hours = 400 km

A logical solution to this final distance between the two cars can be explained by their direction of travel.

Since the Cars both covered the same distance over the same period of time, the both cars must have started from a common point and traveled in opposite direction.

Meaning ;

Car 1 traveled 200 km in a certain direction

Car 2 traveled 200km in the opposite direction

Hence, distance between the cars will be :

Distance covered by car 1 + distance covered by car 2

200km + 200km = 400km

Find the radius....

Help asap

Answers

Answer: the radius would be B

I WILL GIVE BRAINLIEST PLEASE HELP FULLY (pt 6)

6. Julie bought a bond with a 5.2% coupon at its face value of $1000 and held it for 15 years, until it reached maturity. The length of the period for the bond was 6 months. Provide Julie with some assistance in determining how she made out on her investment. (5 points: Part I – 1 point; Part II – 1 point; Part III – 1 point; Part IV – 1 point; Part V – 1 point)
Part I: How many of the bond's periods were there in 1 year?

Part II: What was the periodic interest rate of the bond?

Part III: How much did the bond earn per period?

Part IV: For how many periods did Julie hold the bond?

Part V: What were Julie's total earnings on the bond?

Answers

Answer:

Part I: How many of the bond's periods were there in 1 year?

2 periods.

Part II: What was the periodic interest rate of the bond?

2.6%

Part III: How much did the bond earn per period?

$26

Part IV: For how many periods did Julie hold the bond?

30 periods

Part V: What were Julie's total earnings on the bond?

$1560

SOMEONE PLZ HELP ME QUICKKK
Use the following data set to answer the questions below.

8, 15, 17, 19, 21, 82

1. What is the mean?
2. What is the median?
3. Is there an outlier? If so, what is the outlier?
4. What is the mean without the outlier?

Answers

Answer:

1.The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

2.The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.

3.There are no outliers. Explanation: An observation is an outlier if it falls more than above the upper quartile or more than below the lower quartile.

4.20. The "average" you're talking about is actually called the "mean". It's not exactly answering your question, but a different statistic which is not affected by outliers is the median, that is, the middle number. {90,89,92,91,5} mean: 73.4 {90,89,92,91,5} median: 90.

Step-by-step explanation:

brainless pls

Other Questions
Who was the Amiens Cathedral dedicated to? determine the value of x (ill give brainliest) MY LAST POINTS!!!!!! first to answer correctly gets brainliest. 16. The students were orderedA. Scanding3. Having to stand 100 Point, Will Mark brainily if right! Modernism, and the whole Modernist movement in literature, came from World War I, which proved that old ideas were wrong and everyone would have to reconsider them. It started like any European war, but technology made it much worse and hard to cling to the old.Which most effectively revises the passage in order to maintain a formal style and tone?A.Among the events that started Modernism, World War I was a biggie. Aircraft, chemical attacks, and other really bad things made clinging to old ideas about romance, valor, and glory difficult for those who lived during a really bad period in European history.B.Modernism in the literary arts was a direct consequence of the disastrous conflict known to all as World War I, which involved a crazy assortment of innovative and destructive technologies that rendered old ideas of valor and glory difficult for people to keep wrapping their heads around.C.World War I was a major cause of the Modernist movement in literature. Although the conflict started like any European war, terrible new technologies, such as aircraft and chemical attacks, made it hard for soldiers and civilians alike to cling to old, romantic notions of valor and glory.D.Aircraft, tanks, chemical attacks: These were just some of the awful things that made World War I a major cause of Modernist literature. This was a result of soldiers and civilians feeling like they couldn't cling to old notions of valor and glory because the things that happened were really terrible. In the following verse, look at the underlined phrases. Identify the example of internal rhyme.One, two! One, two! And through and throughThe vorpal blade went snicker-snack!He left it dead, and with its headHe went galumphing back.A. "snicker-snack"B. "galumphing back"C. "One, two"D. "dead, and with its head" is 0.9727 a positive correlation, negative correlation, or no correlation? NOTE PUZZLE: IF YOU GET IT CORRECT I'LL GIVE BRAINLIEST: In her essay "What White Publishers Wont Print," Zora Neale Hurston argues that publishers will not print stories about educated minorities because readers will not believe that these people even exist. Would the person that Countee Cullen describes in his poem "For a Lady I Know" be similar to the kind of reader Hurston writes about? A sample of polonium-210 has an initial mass of 390 milligrams (mg). If the half-life of polonium-210 is 36 days, how many mg of the sample remains after 36 days? A. 48.75 mg B. 392 mg C. 97.5 mg D. 195 mg Info Details Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 22 of the 63 boxes on the shelf have the secret decoder ring. The other 41 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that both of them have the secret decoder ring Roosevelt successfully ran for his fourth term as a president in 1944 one year later Roosevelt died the 22nd amendment was ratified in 1951 limiting president to two elected terms. Why? 0.75(4x + 2) = 5 - (x + 1.5)X = Which weather event would most likely take place in the ecosystem highlighted on this map? Blizzard, because the ecosystem is very cold and wet Drought, because the ecosystem is very dry Hurricane, because the ecosystem is near a coastline Thunderstorm, because the ecosystem is humid and wet can someone help me out with this Which electromagnetic wave has the shortest wavelength?Which electromagnetic wave would have a wavelength approximately the size of the tip of a pencil?Which electromagnetic wave has the longest wavelength? Which of the following is a polynomial?O A. x^2 - 1O B. x^-y+ 2O c. (x^6 - 2)/(x^4 + 3)O D. x^4+ x^4 + 16 The human population is in an era ofgrowth.O A. linearB. slowingO C. exponential Write an acrostic poem for the words INDUSTRIAL REVOLUTION why in an ovary, germ cells undergo oogenesis (enter meiosis) during fetal life (before birth). but in a testis, germ cells do not undergo spermatogenesis (do not enter meiosis) until puberty?