Find the area of the shaded region to the nearest tenth

Find The Area Of The Shaded Region To The Nearest Tenth

Answers

Answer 1

Answer:

B.   A = 119.1 in.²

Step-by-step explanation:

A = area of trapezoid - area of circle

A = ½(b1 + b2)h - πr²

A = [½(27 + 12)(14) - 3.14159(7²)] in.²

A = 119.1 in.²


Related Questions

m∠1=(3x+21)° and m∠3=(4x+9)° what is the value of x

Answers

Value of [tex]x[/tex] as per considering given pair as vertical  opposite angles is equals to [tex]12[/tex] degrees.

What are vertical opposite angles?

" Vertical opposite angles are defined as when two straight line intersect each other , the two non adjacent angles are vertical opposite angles. Measure of vertical opposite angles are always equal."

According to the question,

Given measure of angles,

[tex]m \angle1 = (3x + 21)\°[/tex]

[tex]m \angle3= (4x + 9)\°[/tex]

Consider both the angles as vertically opposite angles we get,

[tex]m \angle1 =m \angle3 \\\implies(3x + 21)\° = (4x + 9)\°\\\\\implies 4x -3x = (21 - 9))\°\\\\\implies x = 12\°[/tex]

Hence, value of [tex]x[/tex] as per considering given pair as vertical  opposite angles is equals to [tex]12[/tex] degrees.

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what decimal is greater than 1.434.

a. 1.443
b. 1.034
c. 1.340
d. 1.433

Answers

Answer: A. D, C, B are all lower

Answer:

the correct answer is A

Step-by-step explanation:

1.443-1.434

= 0.009

Are ΔSUT and ΔXWV similar? If so, state the reason and the similarity statement.


Question 4 options:

A)

Yes; SSS; ΔSUT ∼ ΔXWV

B)

Yes; SAS; ΔSUT ∼ ΔXWV

C)

Yes; SSS; ΔTSU ∼ ΔXWV

D)

The triangles aren't similar.


Answers

Answer:

Yes (SSS) Triangle SUT is congruent to triangle XWV

Step-by-step explanation:

15/10 = 1.5

9/6 = 1.5

12/8 = 1.5

In ΔSUT and ΔXWV the given sides are in proportion. Therefore, option A is the correct answer.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

The given two triangles are ΔSUT and ΔXWV.

From the triangle SUT, SU=10, UT=8 and ST=6

From the triangle XWV, VW=12, XW=15 and VX=9

Now, SU/XW = UT/VW = ST/VX

10/15 = 8/12 = 6/9

2/3 = 2/3 = 2/3

The given sides are in proportion.

So, by SSS similarity ΔSUT∼ΔXWV

Therefore, option A is the correct answer.

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The base of a rectangular prism has an area of 6 cm². The height of the
rectangular prism is 5 cm. What is the volume of the prism?

Answers

Answer:

30 cm ^3

Step-by-step explanation:

Volume = Length x Width x Height

L and W =6cm^2

H=5cm

Hope this helps!

A circle is placed in a square with a side length of 10 mm, as shown below. Find the area of the shaded region.
Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

21.5

Step-by-step explanation:

The area of the shaded region is 21.5 mm².

What is Area?

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given is a circle inside a square.

Area of a square = a², where 'a' is the side length.

Here, a = 10 mm

Area of square = 10² = 100 mm²

Area of a circle = π r², where r is the radius of the circle.

Diameter of circle = 10 mm

Radius of the circle = 10/2 = 5 mm

Area of the circle = (3.14) (5²) = 78.5 mm²

Area of the shaded region = Area of square - Area of circle

                                             = 100 mm² - 78.5 mm²

                                             = 21.5 mm²

Hence the area is 21.5 mm².

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The image
shown at the right contains many triangles.
Describe the different types of triangles found in
the image.

Answers

Answer:

Cna you please put a image, I would like that so much so I can help you?

Step-by-step explanation:

hi there is no picture here to show the image

Imagine we paint a 4x4x4 cube blue on every side.how many of the small cubes have 3 blue faces? How many have 2 blue faces? How many have 1 blue face? How many have not been painted at all? And how many faces would be painted in a cube of any size.think visually
PLEASE ANSWER ASAP. WILL MARK BRAINLIEST!

Answers

1. 8 small cubes
2. 8 small cubes
3. 20 small cubes
4. 8 small cubes
I believe that is the correct answer sorry if I’m wrong

You are giving a bag of jelly beans. There are 7 red, 8 blue, 4 elbow, and 10 pink. Find the probability of eating 3 red jelly beans in a row

Answers

Okay so the probability of drawing a blue bean is

8 / 29 = .276

29 is the total number of jelly beans

When we have replacement, we do not reduce the number of total jelly beans, so the probably of drawing blue stays the same.

But to find the probability of drawing a blue two times in a row, we must square the probability .

(.276) • (.276) = 0.076

Your answer is 7.6% !

find two numbers if there sum is -11 and there difference is 41

Answers

x = 26. y = -15

Step-by-step explanation:

Let x and y be the two numbers

x + y = 11. #1

x - y = 41. #2

Adding the two equations together, we get

2x = 52 ----> x = 26

Using this value on equation #2, we get

26 - y = 41

or y = -15

What is the lowest whole number for hypotenuse c when using the formula [tex]\sqrt{a^2+b^2}[/tex] and a = b?

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

If a=b, you are asking for a whole number c such that ...

  c = √(a² +a²) = a√2

If 'a' is a whole number, the only whole numbers that satisfy this equation are ...

  c = 0 and a = 0.

  0 = 0×√2

The lowest whole number c such that c = √(a²+b²) and a=b=whole number is zero.

__

√2 is irrational, so there cannot be two non-zero whole numbers such that c/a=√2.

_____

Additional comment

If you allow 'a' to be irrational, then you can choose any value of 'c' that you like. Whole numbers begin at 0, so 0 is the lowest possible value of 'c'. If you don't like that one, you can choose c=1, which makes a=(√2)/2 ≈ 0.707, an irrational number. The problem statement here puts no restrictions on the values of 'a' and 'b'.

What is equivalent to 3^-5

Answers

Answer:

The answer is the choose: (D)

[tex] {3}^{ - 5} = \frac{1}{ {3}^{5} } [/tex]

Simplify the variable expression below as much as possible.
3x + 2y + 5-3

Answers

Answer:

3x+2y+2=0

3x=-2y-2

x=-(2y+2)/3

Step-by-step explanation:

NO LINKS. Find the measure of the angle or arc indicated. Part 2

Answers

9514 1404 393

Answer:

  14.  C) 136°

  15.  C) 40°

Step-by-step explanation:

Inscribed angles are half the measure of the arc they intercept. For an inscribed quadrilateral, this means opposite angles are supplementary.

__

14) ∠H +∠W = 180°

  34x +55x +2 = 180

  89x = 178 . . . . . . . . . subtract 2

  x = 2 . . . . . . . . . . . . . divide by 89

  arc VX = 2(34x) = 68(2) = 136 . . . degrees

__

15) The sum of angles in the triangle is 180°.

  ? + 80° + (120°/2) = 180°

  ? = 40° . . . . . . . . . . subtract 140°

Answer:

Solution given:

14.

34x+55x+2=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]

89x=180°-2

x=178/89

x=2°

now

m arc VX=2× <H[ central angle is twice the inscribed angle standing on a same base]

m arc VX=2(34×2)=136°

Option C.

15.

Solution given:

<B=80°

<C=½ arc AB[central angle is twice the inscribed angle standing on a same base]

<C=½×120°=60°

we have

<A+<B+<C=180°[ sum of interior angle of a triangle is 180 ]

<A=180-80°-60°

<A=40°

option C.

Only answer if you’re sure... will give Brainly thank you :)

Answers

Answer:

Step-by-step explanation:

f(x) = x^2 + 3x - x/2

f(x) = x^2 + 2.5x    

   

3x - 1/2x = 6x/2 - 1/2x = 5x/2 = 2.5x

f(6) = 6^2 + 2.5*6

f(6) = 36 + 15

f(6) = 51

Click on three points that are solutions to y = 2x + 1.
A. (0,0)
B. (0, 1)
C. (1,0)
D. (1,3)
E. (2,5)
F. (4,8)

Answers

Answer:

B, D, E

Step-by-step explanation:

Kari worked twice as many hours as Chris. She also worked ten less than three times as many hours as Mark. Chris and Mark worked the same number of hours.

Answers

Answer:

Kari = 20 hours

Chris = 10

Mark = 10

Explanation:

K is Kari's hours

C is Chris's hours

Karis = 2 x C = K

Chris = C

Mark = C

3C - 10 = K

Assume C is 10 (since 10 is 1/3 of the hours mentioned)

2 x 10 = 20 so K worked 20 hours

20 is twice as much as 10 (C's hours)

and it's 30 - 10 (10 less than 3 times as many hours as Mark)

DOES ANYONE KNOW THE ANSWERS TO THESE PROBLEM, PLZ HELP!

Answers

Answer:

Q.1.

Sum of angles of a triangle = 180°

∠A + ∠B + ∠c = 180

(3x - 9) + (4x + 15) + 90 = 180

3x - 9 + 4x + 15 + 90 = 180

7x + 96 = 180

7x = 84

x = 12

∠A = 3x - 9 = 3(12) - 9 = 36 - 9 = 27°

∠B = 4x + 15 = 4(12) + 15 = 48 + 15 = 63°

∠A = 27°

∠B = 63°

Q.2.

[tex]using \ pythagoras \ theorem \\x^2 = 7^2 + (7\sqrt{3} )^{2} = 49 + 49(3) = 196\\x = \sqrt{196} = 14[/tex]

[tex]sin y = \frac{opposite}{hypotenuse} = \frac{7\sqrt{3} }{14} = \frac{\sqrt{3} }{2} \\\\y = sin^{-1} (\frac{\sqrt{3} }{2} ) = 60[/tex]

x = 14

y = 60°

Which pair of expressions is equivalent using the Associative Property of Multiplication?
A. 4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
B. 4(2a ⋅ 5) = 8a ⋅ 20
C. 4(2a ⋅ 5) = (2a ⋅ 5) ⋅ 4
D. 4(2a ⋅ 5) = 4 ⋅ 2a ⋅ 5

Answers

Answer:

4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5

Step-by-step explanation:

Let A, B and C be the required expression, according to Associative property;

(A+B)+C = A+(B+C)

This shows that no matter the sum of values in parenthesis, it does not alter the values at both sides.

From the given expression, the expression that is equivalent using the Associative Property of Multiplication is  4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5

Note that the product of the values in bracket do not affect the final values

4(2a ⋅ 5) = 4(10a) = 40a

(4 ⋅ 2a) ⋅ 5 = 8a ⋅ 5 = 40a

You can see that both expressions gives the same values

The TSA decides to hold back for inspection 4% of all pieces of carry-on luggage. Assuming selections are independent, for the next 150 pieces of luggage, a) find the exact probability that 7, 8, or 9 will be selected. Interestingly enough, this is a case where two of our approximation methods may be appropriate. b) Using Poisson approximation, recalculate the probability from a), and compare. c) Using normal approximation, recalculate the probability from a), and compare

Answers

Answer:

a) 0.3140

b) 0.3098

c) 0.3447

Step-by-step explanation:

Given data :

p = 4% = 0.04

Assuming selections are independent for next 150 pieces

n = 150

a) Probability that 7,8,9 will be selected

P( 7,8,9 ) = 0.3140

b) probability that 7,8,9 will be selected using Poison approximation

P( 7,8,9 ) = 0.3098

c) using normal approximation to determine the probability from ( a )

P ( 7,8,9 ) = 0.3447

Attached below is the detailed solution

What is the sum of the first ten terms in a geometric series
with a1=
6 and r = 2?

Answers

Answer:

[tex]S_{10} = 682[/tex]

Step-by-step explanation:

Given

[tex]a_1 = 6; r = 2[/tex]

Required

[tex]S_{10[/tex]

This is calculated as:

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

So, we have:

[tex]S_{10} = \frac{6 * (2^{10} - 1)}{10 - 1}[/tex]

[tex]S_{10} = \frac{6 * (1024- 1)}{9}[/tex]

[tex]S_{10} = \frac{6 * 1023}{9}[/tex]

[tex]S_{10} = 682[/tex]

what's the answer to the picture below

Answers

9514 1404 393

Answer:

  B.  √900

Step-by-step explanation:

The solutions to the equation are ...

  x = ±√900 = ±3√100 = ±10√9 = ±30

Of the offered choices, the only one that matches any of these is ...

  √900

What is the sum of the whole number and the improper fraction?
4+7/4 A. 4 3/4 B. 5 3/7 C. 5 3/4 D. 4 3/7

Answers

Answer:

C. 5 3/4

Step-by-step explanation:

You have to write all numerators above the common denominator

4+7/4=16+7/4

Add the numbers together

16+7/4=23/4

Simplify the fraction

23/4=5 3/4

Which of the following is the quotient of the rational expression shown below? 2x+5/3x divided by 2x-1/2x+1

Answers

photo math is a good app for your math questions, i would answer this for you but i’m also doing my school work i wish u luck

HELP HELP HELP I’ve BEEN STUCK ON THIS QUESTION IVE ASKED LIKE 3 TIMES ALREADY....ILL GIVE BRAINLY!!

Answers

Answer:

y = -3/4x - 3

Step-by-step explanation:

first lets find the slope what is rise over run

to get from (0, -3) to (-4,0) u have to rise 3 and go back 4

the slope would be -3/4

the last part is were it hits the y axis - ( -3) so it be -3

Match the items in a credit card statement to their descriptions.

the maximum credit available on a credit card

determines the finance charge
payable on credit purchases

the amounts debited to the credit card account

the period for which transactions are
recorded in a credit card statement

1.billing cycle
2.annual percentage rate
3.credit line
4.new purchases

Answers

the maximum credit available on a credit card
1. credit line
determines the finance charge payable on credit purchases
4. new purchases
the amounts devoted to the credit card account
2. annual percentage rate
the period for which transactions are recorded in a credit card statement
1. billing cycle

Answer:

Billing cycle: The period for which transactions are

recorded in a credit card statement

Annual Percentage Rate: Determines the finance charge

payable on credit purchases

Credit Line: The maximum credit available on a credit card

New Purchases: The amounts debited to the credit card account

Step-by-step explanation:

Took the test on Edmentum and got 5/5

Simplify the expression. - 17b + a +235 + 240​

Answers

Answer:

a-17b+475

Step-by-step explanation:

Let's simplify step-by-step.

−17b+a+235+240

Combine Like Terms:

=−17b+a+235+240

=(a)+(−17b)+(235+240)

=a+−17b+475

Answer:

=a−17b+475

-17b+a+235+240 is −17+475

What is the volume of the rectangular prism? . choices: (63yd^3) (7yd^3) (22.5yd^3) (189yd^3)​

Answers

Answer: (7yd^3)

Step-by-step explanation:

Width= [tex]3*\frac{1}{3}[/tex]

Length= [tex]7*\frac{1}{3}[/tex]

Height= [tex]9*\frac{1}{3}[/tex]

Width= 1

Length= 2.33333333333...

Height= 3

1*2.33333333333*3= 6.99999999999

6.99999999999 is round up to 7

So that would be (7yd^3)

Answer:

Step-by-step explanation:

I just did the test. Answer is 7yd

What are the results of
(3 + 1) + 27 ÷ 9 =

Answers

Answer:

3.4

Step-by-step explanation:

PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

(3+1)=4

4+27=31

31 ÷9=3.4

(hope this helped)

The result of expression(3 + 1) + 27 ÷ 9 = 7 .

What is order of operations?

Order of operations is a set of rules to perform operations in an arithmetic expression.

PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

Given expression

(3 + 1) + 27 ÷ 9

Using order of operations,

Solving Parentheses

= 4 + 27 ÷ 9

Solving Division operation

= 4 + 3

Solving Addition operation

= 7

Hence, 7 is the result of the expression (3 + 1) + 27 ÷ 9 .

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Solve the simultaneous equations
4x3y=32
4x-y=16

Answers

Step-by-step explanation:

Solve equation [2] for the variable y

[2] y = -4x + 16

// Plug this in for variable y in equation [1]

[1] 4x + 3•(-4x+16) = 32

[1] -8x = -16

// Solve equation [1] for the variable x

[1] 8x = 16

[1] x = 2

// By now we know this much :

x = 2

y = -4x+16

// Use the x value to solve for y

y = -4(2)+16 = 8

Solution :

{x,y} = {2,8}

Olivia's team played 8 games of basketball. During those 8 games her team's score was: 70, 67, 79, 66, 64, 80, 64 and 75. Find the mode and range

Round to the nearest TENTH.

Question 3 options:

Answers

Answer:

64 is the mode and

it goes from 64, 64, 66,67, 70, 75, 79, and 80, so the range is 80- 64 which is 16

Step-by-step explanation:

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