Find the area of the shaded region. Round to the nearest hundredth where necessary (2 decimal places
A=(
6 in
1
14 in
26 in
15 in

Find The Area Of The Shaded Region. Round To The Nearest Hundredth Where Necessary (2 Decimal PlacesA=(6

Answers

Answer 1

Answer:

117 in²

Finding the area of the trapezoid:

First, we need to find the area of the trapezoid formed by the dotted lines. The formula for finding the area of the trapezoid is "(a₁ + a₂)h/2".

[Where, a₁ = shorter parallel side; a₂ = longer parallel side]

⇒ (a₁ + a₂)h/2 = Area of trapezoid

⇒ (14 + 26)15/2 = Area of trapezoid

⇒ Area of trapezoid = (40)15/2 = (20)15 = 300 in²

Reviewing on how to find the area of the unshaded region:

To find the area of the shaded region, we need to subtract the area of the unshaded region from the area of the trapezoid. In this case, the unshaded region is a triangle whose base is 26 inches. To find the area of the triangle, we need to use the formula 1/2 x Base x Height. We are given the base, but the height is unknown.

Determining the height:

We are given a small side length "6 inches" and the height of the trapezoid "15 inches". If we subtract the small side length from the height of the trapezoid, we will obtain the height of the triangle.

⇒ Height of trapezoid - Small side length = Height of triangle

⇒ 15 - 6 = Height of triangle

⇒ 9 in = Height of triangle

Determining the area of the unshaded region:

Now, let's substitute the base and the height in the formula to find the area of the triangle

⇒ 1/2 x Base x Height

⇒ 1/2 x 26 x 9

⇒ 13 x 9

⇒ 117 in²

Determining the area of the shaded region:

Finally, let's subtract the area of the unshaded region from the area of the trapezoid to obtain the area of the shaded region.

⇒ Area of trapezoid - Area of unshaded region = Area of shaded region

⇒ 300 - 117 = Area of shaded region

183 in² = Area of shaded region


Related Questions

Use substitution to solve the system.

-4x+5y = -26

y = 3x-14

Answers

Answer:

x= 4, y= -2

Step-by-step explanation:

To solve the system by substitution, start by labelling the two equations:

-4x +5y= -26 -----(1)

y= 3x -14 -----(2)

Since the second equation already has y as the subject of formula, we can substitute equation (2) into (1). This means that we can replace all the 'y's in equation (1) with 3x -4, such that equation (1) will only be in terms of x.

Substitute (2) into (1):

-4x +5(3x -14)= -26

Expand:

-4x +15x -70= -26

11x= 70 -26

11x= 44

Divide both sides by 11:

x= 44 ÷11

x= 4

Substitute x= 4 into (2):

y= 3(4) -14

y= 12 -14

y= -2

Help!! I’m so stuck!

Giving away all of my points in 100 point bursts. I have 1700 points. How people can I give to?

Answers

Total points=1700Points to give per time=100

Total times can give:-

1700/10017

One question can be answered by 2

Total persons=17(2)=34

Total points=1700
Points you give:100
If two answer:2
1700/100
=17 multiply by 2= 34

Find the volume of a right rectangular prism if the dimensions of the base are 6.8 centimeters by 12.5 centimeters and the height is 13 centimeters.


A.
B.
C.
D.

Answers

Answer:

6.8 x 12.5 x 13 = 1105

Step-by-step explanation:

Answer:

the answer is 1105

Step-by-step explanation:

This is a 30-60-90 triangle.
What is the measure of x?
Rationalize the denominator.
[?]
х
X=
7

Answers

Answer:

x = [tex]\frac{2\sqrt{21}}{3}[/tex]

Step-by-step explanation:

For a 30-60-90 triangle:

Short leg = sLong leg = s√3Hypotenuse = 2s

Thus:

Short leg = √7/√3 = (√21)/3Long leg = √7Hypotenuse = x = 2(√21)/3

Answer:

2 21 3

Step-by-step explanation:

The expression 11.5+ (4+ (-6.5)) is to be rewritten by applying the commutative
and associative properties of addition. If you use each property only one time,
which expression could be the result?
O (11.5+ (-6.5)) + 4
O 11.5+ (2.5)
O (4+ (-6.5)) +11.5
O (11.5 + 4) + (-6.5)

Answers

Answer:

C. [tex](4+ (-6.5)) +11.5[/tex]

Step-by-step explanation:

Just exchange:

11.5 + (4 + ( - 6.5  ) )

⇒  (4+ (-6.5)) +11.5

After applying the property the expression would be  (4+ (-6.5)) +11.5.

What is Associative property?

Changes to the order of the addends have no effect on the sum, according to the associative feature of addition.

For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) or (2 + 3) + 4

Given:

11.5+ (4+ (-6.5))

In Above case we can use the  Associative property over addition.

For this we just need to exchange the position of number along with their signs.

So, 11.5+ (4+ (-6.5))

=  (4+ (-6.5)) +11.5

Hence, after applying the property the expression would be  (4+ (-6.5)) +11.5.

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Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
V29x6

Answers

Answer:

x 3 -2x

Step-by-step explanation:

Find the side length of the regular octagon whose perimeter is 674 centimeters??


Quick Answer
Smarties

Answers

Answer:

a=84.25cm

Step-by-step explanation:

Write an expression that is equivalent to 110% of a quantity, n

Answers

Answer:

[tex]\displaystyle 1\frac{1}{10}n[/tex]

Explanation:

Convert [tex]\displaystyle 110\%[/tex]to a mixed number, then set [tex]\displaystyle n[/tex]up next to it.

I am joyous to assist you at any time.

Resolve into factors. ​

Answers

Answer:

[tex]\fbox{(a+b) and (a+b+1) are the factors}[/tex]

Step-by-step explanation:

Given equation = a² + 2ab + b² + a + b

Let's factorise,

We know that,

[tex]{(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

Substituting the above factor in given equation,

[tex] {a}^{2} + 2ab + {b}^{2} + a + b = {(a + b)}^{2} + a + b \\ Taking \: (a+b) \: common \: in \: RHS \\ {a}^{2} + 2ab + {b}^{2} + a + b = (a + b)(a + b + 1) \\[/tex]

[tex]\fbox{(a+b) and (a+b+1) are the factors}[/tex]

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(A+B)^2 +A+B = A+B) x (A+B+1) final solution

ayuda porfa, quien entiende???

Answers

Answer:

c

Step-by-step explanation:

the right answer is c it good

A right prism has a triangular base. The length of the base is 12 yards and the height of the base is 3 yards. The height of the prism is 3.5 yards.

What is the volume of the prism?


39.5 yd³

52.5 yd³

63 yd³

126 yd³

Answers

The volume is 63 yd cubed
A=Bh
A=bxhxh
A=12x3x0.5x3.5
A=63 yd cubed

Answer:

C. 63 yd³. I took the test.

what value of x makes the equation true x + 10=18

Answers

Answer:

its 8 cause 8+10=18 and you subtract 10 to 18 to get 8 again

Step-by-step explanation:

Your answer is X=8

(8)+10= 18

Annabelle missed 30 questions on her multiple choice science final that had a total of 200 problems. What percentage of questions did Annabelle answer correctly?

Answers

Answer:

Annabelle answered 85% of the answers correctly.

Step-by-step explanation:

You would do 200-30 questiosn to get 170 questions that she answered right. You would then do 170/200 to get 0.85. 0.85 in decimal form is equal to 85%. I hope this helps! :)

The length of time that the girls ran was 20 percent greater than the length of time the boys ran.If the girls ran for 48 hours, how long did the boys run

Answers

48=1.2x
48/6=0.2x=8
8x5=x=40

the boys ran for 40 hours

factorise fully: 9x² + 3x³

Answers

Answer:

3x^2(3+x)

Step-by-step explanation:

please mark me as brainlest

Answer:

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

Step-by-step explanation:

just take 3x as common and divide the other values by it

your class wants to sell school spirit cups with the school logo on them .you teacher asks you to design this new cup such that a stack of 10cups will be 125 cm tall. describe key measurements of the school spirit cups and explain how they will meet the reqiured specifications

Answers

Each cup is 1 cm after being stacked

The class can make the school cup of 120.5 cm tall.

What is Equation?

Equations include two sides on the left and right connected with equal to sign.

We can find the key measurements of the cups using the formula,

x + 10y = 125

where x is the height of one cup without including the lip length and y is the lip length.

x + y is the height of one cup.

There are various ways to form the measurement of x and y here.

Let y, the lip length of the cup be 1 cm tall. Then,

x + 10 = 125

⇒ x = 115

Length of 1 cup will be 115 + 1 = 116 cm.

Suppose length of lip, y be 0.5 cm. Then,

x + (10 × 0.5) = 125

x + 5 = 125

x = 125 - 5

x = 120 cm

Length of 1 cup will be 120 + 0.5 = 120.5 cm.

Similarly, we can have many measurements for the height of one cup.

Their logo can be placed in the middle of the cup taking the height of 80 cm leaving 20 cm on the top and bottom.

Hence the class can make the school cup of 120.5 cm tall.

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1. Each year, the third Thursday in March is named Kangaroo Day. The dates of Kangaroo Day for the next few
years are shown below, with one error. Which date is wrong?
(A)17/3/2022
(B) 16/3/2023
(C) 14/3/2024
(D) 20/3/2025
(E) 19/3/2026

Answers

Answer:

the eero is on date in answer 'c' because the date of kangaroo is in an arrangement form

Answer:

14/3/2024 is on a Thursday, but it is the second Thursday, not the third.  

Step-by-step explanation:

If the first Thursday falls on March 1, the soonest the third Thursday could occur is 7+7+1 = March 15.

Please answer I am struggling

Answers

(For question 1 you have to do it yourself, get a ruler and measure the actual length of the drawing, then multiply it by 8 to get the actual dimensions in the exercise. )

Example, if you measure 4 inches, the actual dimension will be 4 x 8 = 32 ft

2. (Scale drawing 1:5 is that every 1 (length units) will be equal to 5(length units) in the actual dimensions)

Model : 3ft ; 7m
Actual : 15ft ; 35m (corresponding)

Actual : 20yd ; 12.5 cm
Model : 4yd ; 2.5 cm

6. 1.5 ft = 1.5 x 12 = 18 inches.
The model is 3 inches, and the actual rose is 18 inches -> The scale of the drawing is 6. (enlargement)

Same goes to the scale factor, but this time is the quotient of the corresponding side -> 3 : 18 = 1:6.

(If I got any parts wrong just tell me, I actually kinda forgot these kind of stuff)


Which of the following correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping? (Please show simple or advance explanations - 35 points is rewarded :>)

A) 3w(x + y) - 4z(x + y)
B) 3w(x + y) + 4z(x - y)
C) 3w(x + y) + 4z(x + y)
D) w(3x + 3y) - z(4x + 4y)

Answers

The first step for factoring is 3w(x + y) - 4z(x + y). The correct option is (A).

What is an Algebraic expression?

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given algebraic expression is as below,

3wx + 3wy - 4zx - 4zy

In order to factorize it find the common factors for the group terms such that one of the factors is common for both the groups as follows,

3wx + 3wy - 4zx - 4zy

Take (3wx + 3wy) and (- 4zx - 4zy) as two groups.

The factor form for  (3wx + 3wy) is 3w(x + y).

And, for (- 4zx - 4zy) it is -4z(x + y).

Thus, the given expression can be written as,

3wx + 3wy - 4zx - 4zy

= 3w(x + y) - 4z(x + y)

Hence, first step when factoring the given expression is 3w(x + y) - 4z(x + y).

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Here’s one of the answer options

Answers

Answer: (x - 2)^2 + (y + 3)^2 = 18 3(2^(1/2)) (2,-3)

Step-by-step explanation:

7x^2 - 28x + 7y^2 + 42y - 35 = 0

divide 7 out

x^2 - 4x + y^2 + 6y - 5 = 0

add 5 to other side

x^2 - 4x + y^2 + 6y = 5

solve by completing the square

take b values divide them by 2  square and add to both sides

-4/2 = -2

-2^2 = 4

6/2 = 3

3^2 = 9

X^2 - 4x + 4 + y^2 + 6y +9 = 4 + 9 +5

(x - 2)^2 + (y + 3)^2 = 18

(x - k)^2 + (y - h)^2 = r^2

r^2 = 18

r = [tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex] = 3(2^(1/2))

center of circle = (2,-3)

math pls help i’ve been stuck on this for the longest

Answers

Answers: Choice B, Choice C, Choice D

Basically it's almost everything but choice A

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

Explanation:

When intersecting two lines to form an X shape, the vertical angles are the ones that form opposite one another. They do not have to align vertically, meaning they don't have to be stacked on top of one another. They could be side by side.

This applies to the following angle pairs

1 and 32 and 45 and 76 and 89 and 1110 and 1213 and 1514 and 16

The items in bold apply to choices B through D

Side note: Vertical angles are always congruent.

Answer:

2nd, 3rd and 4th options

Step-by-step explanation:

when two lines intersect to make an X , angles on opposite sides of the X are called vertical angles. These angles are congruent.

from the listed angles the following are vertical angles.

∠ 5 and ∠ 7

∠ 3 and ∠ 1

∠ 4 and ∠ 2

Other vertical angles in the diagrm include

∠ 6 and ∠ 8

∠ 9 and ∠ 11

∠ 10 and ∠ 12

∠ 13 and ∠ 15

∠ 14 and ∠ 16

Alex is playing a game
where he gets 8 points
8
every time his ball hits the
target. He gets an extra 8
points every time his ball
hits the target 8 times in a
row. How many points will
Brady receive if he hits the
target 8 times in a row?

Answers

Answer:

72 points

Something important to note is that 8 is the constant,

If you can get 8 each time that would be the same as doing 8+8+8...

If he hits it 8 times in a row, that means the constant was being multiplied 8 times, 8+8+8+8+8+8+8+8=64

The problem also states that if he hits it 8 times in a row you add 8 more points.

64+8=72

Therefore, the answer is 72

There are 72 points Brady receive if he hits the target 8 times in a row.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Alex is playing a game where he gets 8 points 8 every time his ball hits the target.

And, He gets an extra 8 points every time his ball hits the target 8 times in a row.

Hence, Number of points Brady receive if he hits the target 8 times in a row is,

⇒ 8 x 8 + 8

⇒ 64 + 8

⇒ 72

Thus, There are 72 points Brady receive if he hits the target 8 times in a row.

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(6.1D; 6.1F)
-
1. Which expression is equivalent to 32?
A 23 + (4) – 4 x 2
B 3x3 + (42) - 4
C 42 – 7x0
+
-
D 4x 5 + 2 – 4 + 2

Answers

Hey there!

Option A.
23 + (4) - 4 * 2

= 23 + 4 - 4 * 2

= 27 - 4(2)

= 27 - 8

= 19

19 ≠ 32


Option B.
3 * 3 + (42) - 4

= 3 * 3 + 42 - 4

= 9 + 42 - 4

= 51 - 4

= 47

47 ≠ 32


Option C.
42 - 7 * 0

= 42 - 0

= 42

42 ≠ 32


Option D.
4 * 5 + 2 - 4 + 2

= 20 + 2 - 4 + 2

= 22 - 4 + 2

= 18 + 2

= 20

20 ≠ 32



None of them are equivalent to 32


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Find two consecutive whole numbers that
124 lies between.

Answers

Answer: 123 and 125.

Step-by-step explanation:

Fill in the table using this function rule

y=28-3x

Answers

Answer:

2 = 22

3 = 19

5 = 13

6 = 10

Step-by-step explanation:

To help with future questions, take whatever is for the x and plug it into the equation

Answer:

22,19,13,10

Step-by-step explanation:

First, Replace the x in the equation with parenthesis (), then inside of the () put the x value in the table so it would look like: y=28-3(2). Then solve by multiplying 2 by 3 so you have y=28-6. Then just subtract 6 from 28 to get 22. Rinse and repeat for the rest of the values. Your first value will be 22, second 19, third 13, and lastly 10. Hope this helps!

a phone call from a pay phone cost $3.18 for a 10 minute call. what is the cost per minute for the call?

Answers

Answer:

$0.318 per minute

Step-by-step explanation:

3.18/10 = 0.318

3.18 divided by 10 equals 0.318

Answer:

3.18 cents per minute

Step-by-step explanation:

318 cents / 10 minutes = 3.18 cents per minute

first to answer correctly will be marked brainliest

Answers

Answer:

I have no clue but i need brainliest

Step-by-step explanation:

15. In the graph below, f(x) is a linear function and g(x) is an exponential function. Using the graph provided, what is
the equation for f(x)? What is the equation for g(x)?

Answers

Answer:

That'd be B.  The red graph has the classic shape of an exponential function (y-intercept (0,1), and the blue on e has the shape of a log function (x-intercept (1,0).  These two functions are inverses of one another, and so their graphs are reflections about the line y = x.

Step-by-step explanation:

another question plssss

Answers

Answer:

  (a)  ∠1 and ∠5

Step-by-step explanation:

Complementary angles are angles whose measures total 90°. The angles do not have to be adjacent.

__

In this geometry, we can see that angles 1 and 2 are complementary, as are angles 4 and 5, since their respective sums are right angles. Angles 2 and 5 are vertical angles, so have the same measure.

  ∠1 + ∠2 = 90° . . . . . . adjacent angles that total a right angle

  ∠1 +∠5 = 90° . . . . . substitute ∠5 for ∠2, since measures are equal

This means angles 1 and 5 are complementary.

Jill usually rides her bike at a speed of 10 miles per hour. Let x represent the hours and y represent miles. Write an equation that shows the relationship between x and y.

Answers

Answer:

y = 10x

Step-by-step explanation:

If x represents the hours & y represents the miles, your equation should be in multiplication.

10 miles an hour would be 10x and y would be the total. You can also plug in the answer to check. Let's say x is 2. Plug that into 10x and you get 10(2) = 20 and since y is 20, that'd be 20 miles. Therefore, you'd be running 20 miles in 2 hours, which makes sense because your rate is 10 miles an hour.

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