A patio is made of two sections. One is shaped like a trapezoid, and the other like a semicircle. The bases of the trapezoid are 12 feet and 8 feet. The height of the trapezoid is 4 feet. The diameter of the semicircle is the same as the trapezoid's shorter base. Find the patio's area. Use 3.14 for pi.

Answers

Answer 1

Answer:

65.12 ft^2

Step-by-step explanation:

Patio's area = area of trapezoid + area of semicircle

Area of a trapezoid = 1/2  x (sum of the lengths of the parallel sides) x height

1/2 x ( 12 + 8) x 4 = 40 ft^2

Area of semicircle =  (1/2)πr²

r = 8/2 = 4ft

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(1/2) x 3.14 x 4^2 = 25.12 ft^2

Area of patio = 40 ft^2 +  25.12 ft^2  = 65.12 ft^2

t = 40

25.12


Related Questions

The surface areas of two similar figures are given. The
volume of the larger figure is given. Find the volume
of the smaller figure. Write the equations and solve
showing ALL the work.

Answers

Answer:

166.375

Step-by-step explanation:

the ratio of side length of smaller fig. to larger fig.

= (√121) : (√196) =11 : 14

the side length of larger fig. = ³√343= 7

so, the smaller side = 11/14 ×7 = 5.5

so, the volume of smaller fig. =

(5.5) ³ = 166.375

198.2 cm³ is the volume of the smaller figure.

What is the Surface area?

The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.

Since the two figures are similar, their corresponding lengths, widths, and heights are in proportion.

Let's call the volume of the smaller figure V.

The surface area ratio of the smaller figure to the larger figure is:

(Surface area of the smaller figure) / (Surface area of the larger figure) = 121/196

The length, width, and height ratios of the smaller figure to the larger figure are the same as the square root of the surface area ratio:

(length of smaller figure/length of the larger figure) = (width of smaller figure / width of larger figure) = (height of smaller figure / height of larger figure) = sqrt(121/196) = 11/14

Since volume is calculated by multiplying length, width, and height, we have:

V = (length of smaller figure) x (width of smaller figure) x (height of smaller figure)

Since the ratios of the lengths, widths, and heights are all 11/14, we can substitute in:

V = (11/14 x length of larger figure) x (11/14 x width of larger figure) x (11/14 x height of larger figure)

V = (11/14)³ x volume of larger figure

V = 166.37

Therefore, the volume of the smaller figure is approximately 198.2.

Learn more about the Surface area here:

https://brainly.com/question/29298005

#SPJ2

need help asap!! will give brainliest!!

Answers

Answer:

X and Y = 4

Well, it's a right triangle. The red box means 90 degree angle. So I would say that all the sides are equal.

HOPE THIS HELPS YOU...HAVE A NICE DAY...

a machine takes 8 minutes to fill 48 bottles with chili sauce at this rate how long will it take to fill 12 bottles with chili sauce?​

Answers

Answer:

4

Step-by-step explanation:

ANSER :

4


EXPLEMAITION :


please smart people help me with math (it's asked to: Division into square trinomial multipliers (if possible))​

Answers

Answer:

M. (4x-1) (x+4)

K. (3x-1)(2x-1)

L.(2x-7)(x+5)

N.3x^2-4x+39

O.(3x-1)(3x+4)

Sorry if it's wrong but that's what I got

Define con tus palabras cuáles son los números naturales
 Define con tus palabras cuáles son los números enteros.
 ¿Cuál es la diferencia entre números enteros y números naturales?
 ¿Qué es un número primo?
 Escribe los primeros 10 números primos.
 ¿Qué quiere decir que un número sea divisible entre otro?
 ¿Cómo podemos determinar si un número es divisible entre dos?
 ¿Cómo podemos determinar si un número es divisible entre tres?
 ¿Cómo podemos saber si un número es divisible entre cinco?
 ¿Cuáles son los elementos de una fracción?
 ¿Cómo se clasifican las fracciones?

Answers

Answer: could you translate this to english please?

I NEED THIS BADLY
WILL MARK BRAINLYIST

Answers

What’s the question?

Rewrite in simplest terms:

-2 (3g - 8g +8) -9g

Answers

Answer:

1g - 16

Step-by-step explanation:

-2 (3g - 8g +8) -9g

-2(-5g +8) - 9g

10g - 16 + -9g

1g - 16

Answer:

g - 16

Step-by-step explanation:

- 2(3g - 8g + 8) - 9g

- 2(- 5g + 8) - 9g

10g - 16 - 9g

g - 16

Will mark brainliest !

Answers

Answer:

3

Step-by-step explanation:

Explanation:

Start at a point like (0,2) which is on the blue f(x) line.

Move upward until you reach the red g(x) line. You should move up 3 units. Every point on f(x) follows the same pattern to land on a corresponding point on g(x). Therefore, this moves the entire blue line up 3 units.

This leads to k = 3

So g(x) = f(x) + 3

EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-

(if you put links or don't answer accordingly im reporting your account)

Answers

Parallelogram

Answer:

solution given:

properties of parallelogram:

diagonal bisect each otherdiagonal are CONGRUENTat least two pair of opposite sides are CONGRUENTthe diagonal are not perpendicular.

Parallelogram

Explanation:-

The answer is rectangle if we omit condition 4.

But as diagonals are not perpendicular its parallelogram.

As Rectangle has diagonals bisecting each other and perpendicular .

If the hemisphers has a radius of 3 feet, how many cubic feet of water can the water tank hold?

Answers

Answer:

[tex]volume \ of \ hemisphere = \frac{2}{3} \pi r^3 = \frac{2}{3}\pi \cdot (3)^3 = \frac{2}{3} \pi 27 = 2\pi \cdot9 = 18\pi cubicfeet[/tex]

Find the equation of a line that is parallel to the line x = 19 point (- 4, 7) and contains the

Answers

Answer:

x = -4

Step-by-step explanation:

What is 3/5 as a percent?

Answers

Answer:

60%

Step-by-step explanation:

I changed 3/5 to 30/50, then multiplied them both by 2 to get 60/100, and since a percentage is out of a hundred, its 60%

I hope this helps! ^^

Luis uses beads to make key chains. Each key chain uses 7 beads. He has 44 beads.
Part A
How many key chains can Luis make? Enter your answer in the box.
key chains
Part B
How many beads will be left over? Enter your answer in the box.
beads

Answers

Answer:

A - 6

B - 2

Step-by-step explanation:

Answer:

Part A = 6 and Part B = 2

Step-by-step explanation:

7*6= 42

and 44-42

is = 2

please help me I'm stup*d​

Answers

Answer:

Step-by-step explanation:

 3 • (x - 5) • (x + 5)

What are the dimensions of the base of the pyramid?

Answers

I hope the picture helps

in the exponential equation y=ab^x, what is the value of b with a growth rate of 2.4%?

Answers

Answer:

b= 1.024

Step-by-step explanation:

it should be 1.024 because

a-initial amount you have

b-growth rate ( 1 initial value + 2.4 % of that value)

x-the time over which the growth applies




Find the area of a rectangle with side lengths centimeters and 7/3
5/4 centimeters

Answers

Step-by-step explanation:

area of rectangle =l×b

7/3×5/435/12

stay safe healthy and happy.

An arrangement of objects where the order is important is called a

Answers

Answer: Permutation.

Step-by-step explanation:

What is the common difference between consecutive terms in the following
arithmetic sequence?
-16, -20, -24, -28, ...
A. 12
B. 4
C. -4
D. -12

Answers

The answer is -4 cuh

Find the values of the six trigonometric functions for angle G.

Answers

Answers:

sin(G) = 3/5cos(G) = 4/5tan(G) = 3/4csc(G) = 5/3sec(G) = 5/4cot(G) = 4/3

==============================================

Explanation:

For a right triangle, the sine of a reference angle is equal to the opposite over hypotenuse.

sin(angle) = opposite/hypotenuse

cosine involves adjacent over hypotenuse

cos(angle) = adjacent/hypotenuse

tangent involves opposite over adjacent

tan(angle) = opposite/hypotenuse

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

In short, we have this list so far

sin(angle) = opposite/hypotenusecos(angle) = adjacent/hypotenusetan(angle) = opposite/hypotenuse

The other three trig functions are reciprocals of these first three. Cosecant is the reciprocal of sine, secant is the reciprocal of cosine, and cotangent is the reciprocal of tangent.

Meaning, the other three trig ratios are

csc(angle) = hypotenuse/oppositesec(angle) = hypotenuse/adjacentcot(angle) = adjacent/opposite

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

So,

sin(G) = opposite/hypotenuse = FH/FG = 24/40 = 3/5cos(G) = adjacent/hypotenuse = GH/FG = 32/40 = 4/5tan(G) = opposite/adjacent = FH/GH = 24/32 = 3/4

and

csc(G) = hypotenuse/opposite = FG/FH = 40/24 = 5/3sec(G) = hypotenuse/adjacent = FG/GH = 40/32 = 5/4cot(G) = adjacent/opposite = GH/FH = 32/24 = 4/3

Answer:

Step-by-step explanation:

Hope this helps u!!

Can someone pls help me. will give brainliest!

Answers

Answer:

x > -4

Step-by-step explanation:

[tex]\frac{x}{2} - 3>-5\\x-6>-10\\x>-10+6\\x>-4[/tex]

Jeremy rounded the weight of his fruit to the nearest whole. He said his bag of apples weighed 4 pounds. What could have been the actual weight of his bag of apples? Group of answer choices

Answers

Answer: 3.5 - 4.4 pounds

Step-by-step explanation:

You included no options so I answered with the range of the answer.

When rounding a number up to the nearest whole number, the number needs to have the first decimal being 0.5 and above all the way to 0.9.

When rounding a number down to the nearest whole number, the number needs to have its first decimal being 0.1 to 0.4 to be rounded down.

For instance, 3.5 to 3.9 would get rounded up to 4 pounds.

4.1 to 4.4 would be rounded down to 4 pounds.

In a week, 23 hens laid 92 eggs. What is the unit rate for eggs per hen?

Answers

Answer:

Hello There!!

Step-by-step explanation:

92/23=4 eggs per hen in a week.

hope this helps,have a great day!!

~Pinky~

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

4

92/23 = 4

4 eggs per hen.

Thanks Hope it helps

hi can someone pls help me, I’m confused

Answers

Answer:

(E) 72 w^2 is the answer

Step-by-step explanation:

outer square area is 81 w^2

inner square area is 9 w^2

subtracting outer - inner we can get the shaded area

so 81 -9= 72w^2

Answer:

E. 72w²

Step-by-step explain:

Area I = a × a

= 9w × 9w

= 81w²

Area II = a × a

= 3w × 3w

= 9w²

Shaded area = Area I - area II

= 81w² - 9w²

= 72w²

#CMIIW

Dominik uses 202020 grams of filling for each dumpling he makes. He has 150015001500 grams of dumpling filling. The grams FFF of filling remaining is a function of ddd, the number of dumplings Dominik makes.

Answers

Answer:

−20d+1500

Step-by-step explanation:

I did it on khan and it was right

What is the area of this cross section of the rectangular prism shown?
A 160 in squared
B 96 in squared
C 60 in squared
D 10 in squared

Answers

Answer:

160 in²

Step-by-step explanation:

Multiply:

16 x 10 = 160 in ²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Please I need help!!! NO LINKS!!!!! Ill mark brainlest
The point ( − 2, 3) is the solution to which of the following equations?

A.y=x−1

B.y=3x−2

C.y=−x+1

D.y=−2x+3

Answers

Answer: C

Step-by-step explanation:

y=-x+1

3=-(-2)+1

3=2+1

What's the area of this 3d shape??​

Answers

Answer:

You need to do 7 time 8 times 2 times 3

4.
Devin wishes to determine the average high temperature for any given day in his city. To do this, he records the high temperature for every day in May, June, July, and August. He then adds the temperatures together and divides the sum by the number of days in his sample size.
Part A: Explain why his data would not provide relevant results for what he was trying to accomplish.
Part B: How could he correct his method to get accurate results?

Answers

Part A)

His sample only involves days during the summer (if Devin is in the northern hemisphere), which would mean that the high temperatures he'll record are likely to be higher than the average. Therefore, the sample mean he computes does not represent the average high temperature for the whole year.

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

Part B)

To correct his mistake, he needs to sample every day of the year. Or he could sample a few days of each month (say the first ten days of each month). That way the entire year is better represented. The other seasons of spring, fall and winter are included now.

CAN SOMEONE PLEASE HELP ME!!!

Answers

Answer:

area of triangle=1/2×absin theta.

1/2×30×24×0.7426.64cm ²

hope it helps.

stay safe healthy and happy.

Answer:

[tex]area \ when \ 2 \ sides \ and \ angle \ between \ them \ are \ given[/tex]

                                       [tex]= \frac{1}{2}*30*24*sin 40[/tex]

                                       [tex]= 360 * sin40 \\=360 * 0.642787 \\= 231.40cm^{2}[/tex]

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