Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
13
8

Find The Area Of The Figure Below, Composed Of A Rectangle And A Semicircle. Round Tothe Nearest Tenths

Answers

Answer 1

Answer:

129.1 square units

Step-by-step explanation:

First, let's find the area of the rectangle. We can use the formula below.

[tex]a=lw[/tex]

where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

The length of the rectangle is 13 and the width is 8.

[tex]l=13\\w=8[/tex]

Substitute the values into the formula.

[tex]a=13*8[/tex]

[tex]a=104[/tex]

Next, let's find the area of the semicircle. We can use the formula below.

[tex]a=\frac{1}{2} *\pi r^2[/tex]

First, find the radius. The radius is half of the diameter, and the diameter is 8.

⇒ r= d/2

⇒ r= 8/2

⇒ r= 4

[tex]a=\frac{1}{2} *\pi (4)^2[/tex]

Evaluate the exponent.

⇒ 4² = 4*4 = 16

[tex]a=\frac{1}{2} *\pi *16[/tex]

Multiply pi and 16.

[tex]a=\frac{1}{2} *50.2654825[/tex]

Multiply.

[tex]a=25.1327412[/tex]

Finally, find the area of the figure.

Add the area of the rectangle (104) and the area of the semicircle (25.1327412)

[tex]104+25.1327412[/tex]

[tex]129.132741[/tex]

Round to the nearest tenth. The 3 in the hundredth place tells us to leave the 1 in the tenth place.

[tex]129.1[/tex]

The area of the figure is about 129.1 (square units).


Related Questions

11. Higher Order Thinking Using what you know
about angle pairs formed by parallel lines and a
transversal, how are 21, 22, 23, and 24 related
in the trapezoid? Explain.
3

Answers

Answer:

m∠1 + m∠3 = m∠2 + m∠4

Step-by-step explanation:

In the figure attached,

In the given trapezoid if two sides AB and CD are parallel and AD is a transverse,

m∠1 + m∠3 = 180°

Similarly, if AB and CD are parallel and BC is a transverse,

m∠2 + m∠4 = 180°

Therefore, m∠1 + m∠3 = m∠2 + m∠4 is the relation between these angles.

PLEASE HELP I HAVE 20 POINTS The mass of the Eiffel Tower is about 9.16 ⋅ 10^6 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 10^8 kilograms. Approximately how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower? Show your work and write your answer in scientific notation. (10 points)

Answers

Step-by-step explanation:

8.05 * 10^8 - 9.16 * 10^6

= 10^6 * (8.05 * 10^2 - 9.16)

= 10^6 * (805 - 9.16)

= 10^6 * (795.84)

= 10^8 * 7.9584

Therefore the answer in scientific notation is 7.9584 * 10^8.

Alr im not smart ok sorry to not answer it right but i think its 2^2 kilograms

What is the value of sin(60°+0) - sin(60°+0)?

Answers

Answer:

0

Step-by-step explanation:

Let us take sin(60 degree + theta) =x

Substituting x in equation

=> x-x

=> 0

Step-by-step explanation:

Hey there!!

= Sin (60°+0) - sin (60°-0)

= sin 0° - sin0° { as sin0° = 0}.

= 0-0

=0.

Hope it helps...

Find x
A) 4
B) 4 root 2
C) 4 root 3
D) 8 root 3

Answers

This triangle is a 30-60-90 triangle, which you can just find by solving for the unknown angle in the triangle, making it a 30-60-90 triangle.

You'll need to memorize the side lengths for these triangles, but the side opposite from the hypotenuse (x in this case), will be half the length of the hypotenuse.

Meaning that [tex]2x=8[/tex]

So [tex]x=4[/tex]

Hope this helps.

頑張って!

sin60=x/8
Sqrt (3/4)=x/8
Sqrt 4= 2
Times each side with 8
x=4sqrt(3)

Hope this can help.

foil (3x-5)(x+6) need the answer ASAP

Answers

Answer:

3x²+13x-30

Step-by-step explanation:

3x×x =3x²

3x×6= 18x

-5×x = -5x

-5×6=-30

Connect them together to form:

3x²+13x-30

(I got the 13x by doing 18x-5x)

I think it would be 4x+1 bc (3x-5)(x+6) 3x+x=4x. -5+6=1 so 4x+1

2/3 - 4x + 7/2 = -9x + 5/6 need help asap please!

Answers

Answer:

X= Negative 2/3 or -0.6

Step-by-step explanation:

here you go

Can someone please help me with this problem? In the picture down below. WILL MARK BRAINLIEST!!!

Answers

Answer:

only a

Step-by-step explanation:

Answer: The answer would be B

Step-by-step explanation:

What is 10^5 as a decimal

Answers

Answer:

10^5=100000

Step-by-step explanation:

factorise ax + ay + 3bx + 3by

Answers

Factor like terms..

(ax + ay) + (3bx + 3by)

= a(x + y) + 3b(x + y)

Finally, group the common factors of x + y and collect the terms to get:

(x + y )(a + 3b)

The factors of the given expression are (x + y ) and (a + 3b).

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

We have been given that expression as :

ax + ay + 3bx + 3by

We have to factorize the given expression.

⇒ ax + ay + 3bx + 3by

Factor like terms.

⇒ (ax + ay) + (3bx + 3by)

⇒ a(x + y) + 3b(x + y)

Take out the common factors of x + y and combine the terms to get:

⇒ (x + y )(a + 3b)

Therefore, the factors of the given expression are (x + y ) and (a + 3b).

Learn more about the Expressions here :

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Plea help me get the answer

Answers

Answers is going to be 7.80 I did the math and it was right

1. Select all drawings in which a corresponding height h for a given base b is correctly identified ​

Answers

Answer:

A, B, D, F

Step-by-step explanation:

To determine which of the drawings are well labelled according to their corresponding height (h) for a given base, recall the following:

1. Base of a triangle could be any of the 3 sides of a triangke.

2. Height of a triangle is the perpendicular distance from the corner opposite the base to the base.

3. The height of a triangle could be indicated from outside the triangle.

Going by this 3 criteria, therefore, the following drawings can be said to be well labelled and correctly identifies by their corresponding height with respect to their bases:

A, B, D, F

90.2844097979 to 3 decimal places

Answers

Answer:

90.284

Step-by-step explanation:

The 4th decimal place is 4 which rounds down (as it is less than 5) so it is 90.284

Hope this helped!

Answer:

The answer is 90.284

Step-by-step explanation:

The two numbers after the three decimal numbers (4,0) are not up to “5”. Meaning that they are just zero.

can you please tell me the ans of my questions. the right ans with the process ​

Answers

Answer:  i) 216 liters        ii) 60 cm

Step-by-step explanation:

i) 216,000 cm³ × 1 liter/1000 cm³ = 216 liters

ii) [tex]\sqrt[3]{216,000\ cm^3} =60\ cm[/tex]

Select all the points that are on the graph of the equation 4y-6x=12 a (-4, -3) b (3, -4) c (0, -2) d (0, 3) e (6, 4) f (-1, 1.5)

Answers

Answer:

a,b,d,f

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask :)

Simplify 12+5 (4x-6)

Answers

20x -18 the answer will be
Distribute the 5 to the 4X -6 in the parentheses to get 20x-30 so you should have 12+20x-30 and just combine the -30 with 12 to get -18 and you have -18+20x I hope this helps!! ^_^

A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50. A table titled Lotion, showing Ounces, Cost per Ounce, and Total. The first row shows, Oil Blend, and has 4 minus g, 1.50, and x. The second row shows Glycerin, and has g, 1.00, and blank. The third row shows, Mixture, and has 4, blank, and 5.50. Which value could replace x on the table? (4 – g) 1.5 (4 – g) + 1.5 4g – g(1.5) (4 – g)g'

Answers

Answer:

A

Step-by-step explanation:

Answer: A: (4-g) 1.5

Step-by-step explanation:

Help me please!!!!!!!!!

Answers

Answer:

[tex] { \:( {6}^{10})}^{ - 7} [/tex]

Step-by-step explanation:

For all choices the exponent are addeed not multiplied.

hope it helps ❤❤❤

For any question comment me

What is the difference between the high and low temp in the thermometer?

Answers

Answer:

The difference between the high and low temperature in the thermometer is 23°F.

Step-by-step explanation:

Given information: Highest temperature = 20°F and the lowest temperature = -3°F.

We need to find the difference between the high and low temperature in the thermometer.

Difference between the high and low temperature is

Difference = Highest temperature - Lowest temperature

Difference = 20°F - (-3°F)

Difference = 20°F + 3°F

Difference = 23°F

Therefore the difference between the high and low temperature in the thermometer is 23°F.

What is the answer to 4x+2=18

Answers

Answer:

x=4

Step-by-step explanation:

4x+2=18

   -2   -2

4x=16

divide both sides by 4 to get 4

x = -3y + 1
-3x - 3y = -15​

Answers

Answer:

X = 3 x − 14

y = − x + 5

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

I hope this helps!

A total of 360 people were surveyed. Of the people surveyed, 70 said they were an early bird and preferred tea. The percentage of people surveyed who are night owls is ___%. The percentage of early birds who prefer to drink tea is ___%.

Answers

Answer:

A total of  

360

people were surveyed. Of the people surveyed,  

70

said they were an early bird and preferred tea. The percentage of people surveyed who are night owls is  

60

%. The percentage of early birds who prefer to drink tea is  

49

%.

Step-by-step explanation:

The last row and the last column give the total number of people surveyed, which is 360.

The joint frequency of the Early Bird column and the Tea row show that 70 people said they were an early bird and preferred tea.

To get the percentage of night owls, divide the total number of night owls by the total number of people surveyed and multiply by 100:

To get the percentage of early bird tea drinkers, divide the joint frequency of early birds and tea by the marginal total number of early birds and multiply by 100:

From total of 360 people surveyed, 70 people are early birds and preferred tea. Hence night owls is 60% and people who prefer to drink tea is 49%

What is a survey?

A survey is a method of data collection and can be in the form of questionnaires and interviews. The survey tells us about the demands and needs of the people.

As per the question, the last row and column give us a total of 360. Those who are early birds and take tea are 70% of the population. To get the percentage we need to X night owls by the number of people surveyed multiplied by 100.

For the early bird tea, the total frequency of early birds by the marginal total number of early birds multiplied by 100.

Find out more information about the survey.

brainly.com/question/14610641

If one leg of a right triangle is 6 cm long, and the other leg is 8 cm long, how long is the triangles hypotenuse?!!

Answers

Answer:

approximately 9

Step-by-step explanation:

6 squared (36) plus 8 squared (64) is 84, and the square root of that is about 9

Answer:

10cm

Step-by-step explanation:

a²+b²=c²

6²+8²=c²

36+64=c²

100=c²

10=c

Given h(t) = t2+t+ 12 and k(t) = V1-1, evaluate (ko h)(10).
O 11
0 24
O 122
366

Answers

Answer:

A-11

Step-by-step explanation:

Correct on EDGE

The value of the function k(h(10)) will be 11. The correct option is A.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given h(t) = t²+t+ 12 and k(t) = √t-1, we are to find k(k.h)(10)

k{h(t)} = k{ t²+t+ 12}

Since k(t)= √t-1, we will replace the variable t in the function with t²+t+ 12

k(h(t)) = √{(t²+t+ 12)-1}

k(h(t)) = √t²+t+12-1

k(h(t)) = √t²+t+11

Substituting t = 10 into the resulting function;

k(h(10)) =  √(10)²+(10)+11

k(h(10)) = √100+10+11

k(h(10)) = √121

k(h(10))= 11

Therefore, the value of the function k(h(10)) will be 11. The correct option is A.

To know more about functions follow

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WILL GIVE BRAINLIEST!!!!!!!!!!! PLS ANSWER ASAP!

Which diagram represents rx ◦ RO,180°?

A. First option

B. Second option

C. Last option

Answers

It’s the second option

Answer:

the second option

Step-by-step explanation:

i got this question before

what is the solution of the system of linear equations? y = 3x - 2 y - 2 = x

Answers

Answer:

x = 2 y = 4

Step-by-step explanation:

y = 3x - 2

x = y - 2

Plug in the equation of x into the first equation and solve for y.

y = 3x - 2

y = 3(y - 2) - 2 Multiply out

y = 3y - 6 - 2

y = 3y - 8     Add 8 to each side

y + 8 = 3y - 8 + 8      8 cancels on the right

y + 8 = 3y          Subtract y from each side

y - y + 8 = 3y - y       The y on the left cancels

8 = 2y      Divide each side by 2

8/2 = 2y/2   2 on the right cancels because 2/2 = 1

8/2 = y

4 = y  

Now plug your answer into the 2nd equation given to solve for x.

x = y - 2

x = 4 - 2

x = 2

A car dealership pays $8,350 for a car. They mark up the price by 17.4% to get the retail price. What is the retail price of the car at this dealership? Round your answer to the nearest hundredths (second) decimal place.

Answers

Answer:

1452.9

Step-by-step explanation:

Floyd has just opened his new sandwich shop. He makes $3.00 on every sandwich sold and his monthly expenses
are $5,000. Which equation can be used to model the number of sandwiches, s, he needs to sell in a month in order to
make a profit, P?
O P = 5,000 - 35
O P = 5000 + 35
O P = 3s - 5000 6
Os= 5000-P
0

Answers

The answer is P=3s-5000

Answer:

I think the answer is P=3s-5000

Step-by-step explanation:

you wouldn't subtract anything from the 5000, you would subtract the 5000 from how much you made from the sandwiches.

hope that helps

(-4x2)^2 / 2-9-5 how do I simplify

Answers

Answer:

-16/3

Step-by-step explanation:

To solve for this use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)

First multiply -4 and 2 (-8)

(-8)^2/2-9-5

Next find out what -8 squared is (64)

64/2-9-5

Now simplify the denominator

64/-12

Lastly, divide 64 and -12

-16/3

A sequence of numbers consists of natural numbers that are
not perfect squares. What is the 1000th member of this
sequence?

Answers

Given :

A sequence of numbers consists of natural numbers that are

not perfect squares.

To Find :

The 1000th member of this  sequence .

Solution :

Now , [tex]31^2=961[/tex] and [tex]32^2=1024[/tex] .

So , there are 31 numbers before 1000 which are perfect square .

Therefore , the [tex]999^{th}[/tex] is 1000+31 = 1031 .

Also , the first perfect square after 1000 is 32 .

So , we have to continue to 1031 + 1 = 1032 to compensate for the 32nd square.

Therefore , the 1000th member of this  sequence is 1032 .

Hence , this is the required solution .

Were should I go to study for my 10 grade geometry Fundamentals test which is tomorrow :[

Answers

Answer: in a quiet room or the library,

also you better summarize your geometry lessons and remember the formulas :P

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