A section of a deck is shaped like a trapezoid. For this section, the length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet. What is the area of this section of the deck?

Answers

Answer 1

Answer:

[tex]A=830\ ft^2[/tex]

Step-by-step explanation:

Given that,

The length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet.

We need to find the area of this section of the deck that is shaped like a trapezoid.

The area of a trapezium is given by :

[tex]A=\dfrac{a+b}{2}\times h[/tex]

a = 37 ft, b = 46 ft and h = 20 ft

Put all the values,

[tex]A=\dfrac{37+46}{2}\times 20\\\\A=830\ ft^2[/tex]

So, the area of this section of the deck is equal to [tex]830\ ft^2[/tex].


Related Questions

20 POINTS ILL GIVE BRAINLY TO THE FISRT ANSWER:
Find the requested composition of functions.
Given f(x) = 5x + 12 and g(x) = 4x -1, find f ° g(x)

Answers

Answer:

(f  ° g)(x) = 20x + 7

Step-by-step explanation:

(f  ° g)(x) = f(g(x)) = 5(4x - 1) + 12 = 20x - 5 + 12 = 20x + 7

Please help me!
describe the transformation for f(x)=[tex]\sqrt[3]{x}[/tex] to g(x)=[tex]-2\sqrt[3]{x} +4[/tex]

Answers

Step-by-step explanation:

transformation : f(x) --> g(x) = -2x + 4

help meeeeeeeeeeeeeeee. this is due tomorrow

Answers

Answer:

common difference increases by 2 times

d = (2×12) = 24

[tex] {a}^{4} + {b}^{4} + {c}^{4} = (22 + (12 \times 2)) \\ = 46[/tex]

help, don't guess. tyyyy

Answers

Answer:

[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]

0 (zero)

Step-by-step explanation:

The 8-sided die has numbers less than 9. So, they can never be greater than 9.

Andrea has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 8mph and walks back at a speed of 2mph, how long should she plan to spend walking back?

Answers

Answer:

Time spend in walking = 3.2 hour = 3¹/₅ hour

Step-by-step explanation:

Given:

Total time taken = 4 hour

Speed when run = 8 mph

Speed when walk = 2 mph

Find:

Time spend in walking

Computtaion:

We know that;

Time = Distance / Speed

Assume;

One side distance = D

So,

D/8 + D/2 = 4

2D + 8D = 64

10D = 64

D = 6.4

So,

One side distance = 6.4 mile

Time spend in walking = One side distance / Speed when walk

Time spend in walking = 6.4 / 2

Time spend in walking = 3.2 hour = 3¹/₅ hour

please help me 100 points if you help

Answers

Answer:

1) scalene 2) Isosceles 3) Equilateral 4) Scalene

Step-by-step explanation:

1. no sides are the same length

2. two sides are the same length

3. all sides are the same length

4. no sides are the same length

Answer: Hello Luv........

1) scalene 2) Isosceles 3) Equilateral 4) Scalene

Step-by-step explanation: Sorry i copied other.

1. no sides are the same length.

2. two sides are the same length.

3. all sides are the same length.

4. no sides are the same length.

Mark me brainest please. Hope this helps. Anna ♥

1. In each case, which average do you think is most useful: the mean, median, or mode?
Justify your answer.

Answers

Answer:

depends on the cases. they all have different uses

Solve the equation f/2 +9=4 how can you isolate the variable F 

Answers

Answer:

F= -2.5

Step-by-step explanation:

divide both sides by two in order to isolate f.

by dividing by 2 on the left hand side it cancels out the /2 leaving you with only f

then because you divided the left hand side by 2 you need to do the same on the right therefore giving you -5/2 which equals -2.5

The value of f in the equation is -10.

What is a Variable?

'In mathematics, a variable is a symbol and placeholder for a quantity that may change. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.'

According to the given problem,

First we need to isolate the variable f:

⇒ [tex]\frac{f}{2}+ 9 = 4[/tex]

Now, transposing 9 to the right hand side,

⇒ [tex]\frac{f}{2}[/tex] = 4 - 9

⇒ [tex]\frac{f}{2} = -5[/tex]

⇒ f= ( -5 * 2 )

⇒ f= -10

Hence, the required value of the variable f is -10.

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Identify any outliers of the data set. Then determine the effect that the outlier has on the mean.

25, 29, 58, 27, 23, 26, 27, 25, 28, 24

Answers

Answer:

58

Step-by-step explanation:

It is going to be 58 because that is the more "random" number. It is does not fit with the rest of your numbers.

Answer:

the outlier is 58. it skews the data

Step-by-step explanation:

I need help ASAP
A scatter plot is shown
What type of association does the graph show between x and y?

A Linear positive association

B Nonlinear positive association

C Linear negative association

D Nonlinear negative association

Answers

The answer is c because The higher the number the lower the dock goes which means it’s negative and it makes a line

i'll mark as brainliest if it lets me;-;
please answer B. & C. with solution:)​

Answers

Answer:

B. AC = 22, BC = 22, AB = 44

C. AC = 30, BC = 30, AB = 60

Step-by-step explanation:

B.

[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)

[tex] \therefore AC = BC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)

[tex] \therefore 2x - 6 = x + 8[/tex]

[tex] \therefore 2x - x= 6 + 8[/tex]

[tex] \therefore x= 14[/tex]

[tex] AC = 2x-6=2(14)-6=28-6= 22[/tex]

[tex] BC= x + 8=14 + 8= 22[/tex]

AB = AC + BC = 22 + 22 = 44

C.

[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)

[tex] \therefore BC = AC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)

[tex] \therefore 7x-5=4x+10 [/tex]

[tex] \therefore 7x - 4x= 5 + 10[/tex]

[tex] \therefore 3x= 15[/tex]

[tex] \therefore x= \frac{15}{3}[/tex]

[tex] \therefore x= 5[/tex]

[tex] AC = 4x+10=4(5)+10=20+10= 30[/tex]

[tex] BC= 7x - 5=7(5)-5=35-5= 30[/tex]

AB = AC + BC = 30 + 30 = 60

A drawer contains 2 Red Socks, 7 White Socks, and 9 blue sock Without looking, you draw out a sock and then draw out a second sock without returning the first sock. What is the probability that the first sock and the second sock are both red?​

Answers

Answer:

1/153

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

probability that the first sock and the second sock are both red = (number of red socks /total number of socks) x (number of red socks /total number of socks)

At the first pick, the probability = 2/18

At the second pick because there is no replacement, there would be 1 red socks and 17 socks = 1/17

2/18 x 1/17 = 1/153

Determine a simplified expression to represent the area of shaded region within the figure below

Answers

Answer:

[tex](5x-3)^{2}[/tex] - (3x+1)(2x-1)

Step-by-step explanation:

Determine the area of the large square: (5x - 3)(5x - 3)

Determine the area of the small rectangle: (3x + 1)(2x -1)

Subtract the area of the small rectangle from the area of the large square to get the area of the shaded region.

? x 26= 17 7/8.
By: Britney

Answers

17 7/8 divided by 26=0.6875
0.6875 times 26=17.875 or 17 7/8

How DISGUISE WILL BE WRITTEN IN THE CODE​

Answers

Answer:

what are you asking?

Step-by-step explanation:

Supongamos que un restaurante ofrece 5 entradas, 4 platos principales y 3 postres. ¿De
cuántas formas un cliente puede ordenar una comida?

Answers

Answer:

El cliente puede ordenar una comida en 60 formas distintas.

Step-by-step explanation:

El cliente escoge una entrada de las cinco opciones disponibles, luego un plato principal de cuatro opciones disponibles y un postre de tres opciones disponibles. Es costumbre consumir primero una entrada, después un plato principal y finalmente, un postre.

Estadísticamente hablando, se debe considerar un producto de tres combinaciones, puesto que el orden no importa a la hora de pedir, como sigue:

[tex]n = _{5}C_{1}\times _{4}C_{1}\times _{3}C_{1}[/tex] (1)

Donde:

[tex]n[/tex] - Total de combinaciones al ordenar una comida (entrada, plato principal, postre)

[tex]_{5}C_{1}[/tex] - Combinaciones posibles para pedir una entrada.

[tex]_{4}C_{1}[/tex] - Combinaciones posibles para pedir un plato principal.

[tex]_{3}C_{1}[/tex] - Combinaciones posibles para pedir un postre.

Ahora, desarrollamos la operación:

[tex]n = \frac{5!}{(5-1)!}\times \frac{4!}{(4-1)!} \times \frac{3!}{(3-1)!}[/tex]

[tex]n = 5\times 4\times 3[/tex]

[tex]n = 60[/tex]

El cliente puede ordenar una comida en 60 formas distintas.

make b the subject of the formula a=\sqrt(b+6)

Answers

Making 'b' the subject of formula gives b = a² - 6

How to determine the subject of formula

It is important to note that the subject of formula is described as a variable that is made up to stand alone in an equation.

The subject of formula is the variable that is worked out on on side of the equation sign.

From the information given, we have the equation;

a = [tex]\sqrt{(b + 6)}[/tex]

To make 'b' the subject of formula, we take the following steps;

Find the square of both sides, we get;

a² = [tex](\sqrt{(b + 6)} ^2[/tex]

Cancel out the square, we get;

b + 6 = a²

collect the other terms on one end of the equation, we have;

b = a² - 6

Hence, the equation is b = a² - 6

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I need to know they answers below please hurry

Answers

Answer:

A)  2

B)  0

C)  1

Step-by-step explanation:

How many ways can 3 different flags be hung in a row if there are 8 flags to choose from?

Answers

Answer:

8 flags can be chosen for the first position

7 flags are left for the second position

6 flags are left for the third position

8 * 7 * 6 = 336

An ice cream shop has 5 flavors. Carlos wants to buy a five-scoop cone with 5 different flavors. How many cones could he buy if the order of the flavors is important?
A.30,140 cones
B.240 cones
C.120 cones
D.60 cones
E.26,970 cones
First to answer gets marked brainliest.

Answers

I think the answer is E

Simplify: [tex]\frac{\left(x^{\frac{5}{2}}\cdot 6y^2\cdot \sqrt[3]{y^4}\right)}{12x^{\frac{1}{2}}\cdot \sqrt[4]{x^3}}[/tex]

Answers

Answer:

[tex]\frac{1}{2} x^{\frac{5}{4} }y^{\frac{10}{3}}[/tex]

Step-by-step explanation:

[tex]\frac{x^{\frac{5}{2} }*6y^2*\sqrt[3]{y^4} }{12x^{\frac{1}{2}}*\sqrt[4]{x^3} } =[/tex] [tex]\frac{x^{ \frac{5}{2} }6y^2y^{ \frac{4}{3} } }{12x^{ \frac{1}{2} }x^{ \frac{3}{4} }} =[/tex][tex]\frac{1}{2} x^{\frac{5}{2} - \frac{1}{2} - \frac{3}{4}}y^{2+\frac{4}{3}}=[/tex][tex]\frac{1}{2} x^{\frac{5}{4} }y^{\frac{10}{3}}[/tex]

What exactly does it mean when a question says "consecutive integers"?

Answers

Answer:

Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.

hope this helps

have a good day :)

Step-by-step explanation:

Which linear inequality is represented by the graph?
2
1
5 4 3 2 1
o ya x-4
oys x-4
ys-x+4
oyz x+4
3
-2-
3
Save and Exit
Next
Submit

Answers

The required equation will be y ≤ 1/3 x - 4

The standard form of a linear equation is y = mx + b

m is the slope of the lineb is the y-intercept

Using the coordinate points (0, -4) and (3, -3)

m = -3+4/3-0

m = 1/3

Since the line cross the y-axis at y = -4, henc b = -4

Get the required equation;

y = mx + b

y = 1/3x - 4

Since the line is solid and shaded below, hence the required equation will be y ≤ 1/3 x - 4

Learn more inequality here: https://brainly.com/question/11613554

A 36 oz container of Sour Punch Juice costs $6.84. A 48 oz container of the same juice costs $10.08. Which is the better buy?

Answers

Answer:

the 10$ one

Step-by-step explanation:

Big points if you answer this

Answers

Answer:

i think its  A but im not 100 percnt sure

Answer:

a

Step-by-step explanation:

PYTHAGOREAN THEOREM BASED QUESTION: If you show steps I will give Brainliest

An artist joined three square regions at their
vertices to create the figure shown in the diagram.

The artist will use small congruent square tiles to
cover each region without any gaps or overlaps.
Based on the information, which statement is true?

A. The number of tiles needed to cover Region X
is the same as the number of tiles needed to
cover both Region Y and Region Z.

B. The number of tiles needed to cover Region Y
is the same as the number of tiles needed to
cover both Region X and Region Z.

C. The number of tiles needed to cover Region Z
is the same as the number of tiles needed to
cover both Region X and Region Y.

D. None of these

Answers

Answer:

C. The number of tiles needed to cover Region Z  is the same as the number of tiles needed to cover both Region X and Region Y.

Step-by-step explanation:

The question is in the attachment.
Please help out

Answers

Answer:

43

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

< MQP = 1/2 ( 86)

< MQP = 43

Answer:

43°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the arc it subtends.

m<Q = (1/2)m(arc)MP

m<Q = 1/2 * 86°

m<Q = 43°

What is the area of this isosceles trapezoid 96 60 48 72

Answers

Step-by-step explanation:

s3d4drks3ks2srddex5v5

I need help for bi dont get it

Answers

Answer:

EWWWWWWWWWWWWW UR BI???!!

Step-by-step explanation:

Don’t listen to that person even if you are they are rude anyways I’m sorry I could help you but yeah have a good day :)

Plz help fast will mark brainliest!!!

Answers

The answer :9.1×10 ^3

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