Find the area of the shaded region

Find The Area Of The Shaded Region

Answers

Answer 1

Answer:

Step-by-step explanation:

Remark

There are many ways you can do this. I think the simplest way is to find the area of the rectangle enclosing the winged shape and take away the area of the three unshaded triangles.

Area of enclosed rectangle

Area = L * w

L = 26    in

w =  15   in

Area = 26 * 15

Area = 390    square inches.

Find the area of the triangle on the right.

Area = 1/2 * b * h

base = 26 inches

height = 15 - 6 = 9

This is a little tricky. What you need to do to get the height of the triangle is realize that it is made from a line that goes from the base of the triangle to its peak. This line is perpendicular to the base. The line you just drew is 15 inches tall, same as the width of the enclosing rectangle.

Substitute values into the formula

Area = 1/2 * 26 * 9

Area = 117 square inches.

Find the area of the top and bottom triangles.

These 2 triangles are the same sort of thing only the base requres a bit of manipulation

height = 15 inches

base = (26 - 14)/2

base = 12/2

base = 6

Again, this requires a little bit of thought. You have 2 bases making up each of the right triangles. To find the sum of both of them, you take 26 and subtract 14 from it. That's where the 12 comes from. Now you divide 2 to get the base of each of the triangles. That gives you 6.

Find the area of one of the triangles.

Area = 1/2 * b * h

Area = 1/2 * 6 * 15

Area = 45 square inches

Find the area of both triangles.

Area of triangles at the top and bottom = 2*45 = 90

Finally find the area of the shaded area.

Area = enclosed rectangle - top triangle and bottom triangle - the triangle on the right.

Area shaded area = 390 - 45 - 45 - 117 = 183

Answer: Area shaded region = 183 square inches.


Related Questions

help me please!

I'm a little confused ​

Answers

Answer:

Is A

Step-b-step explanation:

40.5

what is the equation of the line with the slope -3 through the point (3,5)?​

Answers

Answer:

[tex]\boxed{\sf{y=-3x+14}}[/tex]

Step-by-step explanation:

The slope-intercept formula can be used to find the equation of the line.

Slope-intercept formula:

[tex]\Longrightarrow:\sf{y=mx+b}}[/tex]

The m represents the slope.The b represents the y-intercept.y-intercept is 14.

y=-3x+14

Therefore, the correct answer is y=-3x+14.

I hope this helps you! Let me know if my answer is wrong or not.

PLEASEEEEEEEEEEEEEEEE :(

Answers

Answer:

A=128

Step-by-step explanation:

A=(25-9)^2/3√3+5

A=(16)^2/3√8

A=256/2

A=128

PLEASE HELP!

Andrew is flying a kite. The angle of elevation of the kite varies between 56° and 60°.
Andrew has let out 15 m of string on the kite. Draw a picture to model this situation.
Then, determine the minimum and maximum heights of the kite. Round the heights
to the nearest hundredth.
Minimum=
Maximum=

Answers

The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the kite. Hence:

At an angle of 56°, the height is:

sin(56) = h/15

h = 12.44 m

At an angle of 60°, the height is:

sin(60) = h/15

h = 13 m

The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.

Find out more on equation at: https://brainly.com/question/1214333

Which of the following is closest to the circumference of the stump?
A)
5.495 ft?
B)
9.617 ft?
C)
10.99 ft
D)
38.465 ft2

Answers

Answer:

C):10.99

Step-by-step explanation:

The diameter is 3.5...

3.5 x 3.14 = 10.99

The cirucmference of the stump given its diameter is closest to 10.99 ft.

What is the circumference of the stump?

The circumference of the stump is the distance round the stump. The stump is in the shape of a circle. Thus, the formula for the circumference of a circle would be used to determine the circumference of the stump.

Circumference of a circle = πD

Where:

π = 3.14 D = diameter = 3.5

3.14 x 3.5 = 10.99ft

Please find attached an image of the stump. To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152

-3|x|=9, what is x? I wrote that x = -3, but I guess that's wrong?

Answers

Answer:

  no solution

Step-by-step explanation:

You want the solution to -3|x| = 9.

Sign

The equation shows the product of a negative number (-3) and a positive number |x| is positive (9).

This is a violation of the rules of arithmetic. The product of a positive and a negative is always negative.

There is no solution to this equation.

<95141404393>

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are exactly that.
See picture for full problem. Please and thank you so much!

Answers

Answer:

obtuse angle is 155'

Reflex angle is 205'

Step-by-step explanation:

Just add the angles between the arecs

Solva.
3
ba
a+b=21
1
a = 37
0 = 20
a = 20
b = 11
1
o = 12
b = 9
b = 15
b = 16
10.
4

Answers

The values of a and b in the sytem of equation are 12 and 9 respectively.

How to find the variables(a and b) in the sytem of equation?

b = 3 / 4 a

a + b = 21

Therefore, let's substitute b in equation(ii)

a + b = 21

a + 3 / 4 a = 21

4a + 3a / 4 = 21

7a / 4 = 21

cross multiply

7a = 21 × 4

7a = 84

divide both sides by 7

a = 84 / 7

a = 12

b = 3 / 4 a

b = 3 / 4 × 12

b = 36 / 4

b = 9

learn more on system of equation here:  https://brainly.com/question/11837694

please help i hate math

Answers

Answer:

B and D I think

Step-by-step explanation:

A bicycle helmet cost $41.40 in 1983. what will a bicycle helmet cost when the cpi is 186? round to the nearest cent. a. $222.58 b. $144.60 c. $77.00 d. $72.30 please select the best answer from the choices provided a b c d

Answers

Answer:

  c.  $77.00

Step-by-step explanation:

The CPI is 100 times the ratio of prices relative to those in some reference period. Here, we assume the reference year is 1983, so a CPI of 186 means the current prices are 1.86 times those in 1983.

  1.86 × $41.40 = $77.00

The helment price will be $77.00 when the CPI is 186.

Answer:

C. $77.00

Step-by-step explanation:

Edge23

A large set of data was collected and analyzed for the majors of college seniors in the US From the scatter plots produced the following associations were observed the linear model P(1) - 2,376 + 73,219 can
be used to estimate the number of college seniors who graduated with a bachelor's degree in psychology, tyears after 2000. The linear model B(l) 2,4140 + 56, 545 can be used to estimate the number of college
seniors who graduated with a bachelor's degree in biology, years after 2000
Which of the following statements are true?
The number of psychology degrees increases by about 73,219 each year after 2000
The number of biology degrees increases by about 2,414 each year after 2000,
About 73,000 students graduated with degrees in psychology in 2000.
About 2,400 students graduated with degrees in biology in 2000.
In 2000, more students graduated with psychology degrees than biology degrees.

Answers

Using linear function concepts, it is found that the correct statements are given by:

The number of biology degrees increases by about 2,414 each year after 2000.About 73,000 students graduated with degrees in psychology in 2000.In 2000, more students graduated with psychology degrees than biology degrees.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.

In this problem, the number of college seniors who graduated with a bachelor's degree in psychology, in t years after 2000, is modeled by:

P(t) = 2,376t + 73,219.

For biology, the amount is given by:

B(t) = 2,414t + 56,545.

Then, the true statements are given by:

The number of biology degrees increases by about 2,414 each year after 2000.About 73,000 students graduated with degrees in psychology in 2000.In 2000, more students graduated with psychology degrees than biology degrees.

More can be learned about linear function concepts at https://brainly.com/question/24808124

Find the perimeter of ΔABC and how you got it.

Answers

Answer:

[tex]\fbox{Perimeter of ∆ABC = 54 units}[/tex]

Step-by-step explanation:

Given:

➳ AC || RP

➳ AC = 18 units

➳ AR = 14 units

➳ RB = 7 units

➳ CP = 10 units

To find:

perimeter of triangle ABC =?

Solution:

in ∆ABC and ∆RBP

since we know AC || RP,

then ∠ACP = ∠RPB

and ∠CAB = ∠PRB (Property of parallel lines)

and ∠B is a common angle in both traingles,

hence ∆ABC ~ ∆RBP from AAA property!

now,

using the properties of similar triangle,

[tex] \frac{AR }{RB} = \frac{CP}{PB} \\ \\ \frac{14}{7} = \frac{10}{PB} \\ \\ X = \frac{10}{2} \\ \\ \fbox{PB = 5} \\ \\ \\ [/tex]

To find perimeter of ∆ABC, add all the components.

Perimeter of ∆ABC = AR + RB + BP +PC + CA

Perimeter of ∆ABC= 14 + 7 +5 +10 + 18 units

[tex]\fbox{Perimeter of ∆ABC = 54 units}[/tex]

Thanks for joining brainly community!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

In the given figure, PR is parallel to CA, therefore two angles of Triangle ABC is equal to two corresponding angles of Triangle RBP.

that is

[tex]\qquad \sf  \dashrightarrow \:\angle BCA = \angle BPR[/tex]

[tex]\qquad \sf  \dashrightarrow \:\angle BAC= \angle BRP [/tex]

[ They form pairs of corresponding angles ]

So, we can infer that :

[tex]\qquad \sf  \dashrightarrow \:\triangle BAC \sim \triangle BRP [/tex]

The Triangles are similar, by AA criteria ~

let's assume measure of BP = x

Now, let's use its result :

[tex] \qquad \sf  \dashrightarrow \:\dfrac{BA}{BR}= \dfrac{BC}{BP}[/tex]

[tex] \qquad \sf  \dashrightarrow \:\dfrac{14 + 7}{7}= \dfrac{x + 10 }{x}[/tex]

[tex] \qquad \sf  \dashrightarrow \:\dfrac{21}{7}= \dfrac{x + 10 }{x}[/tex]

[tex] \qquad \sf  \dashrightarrow \:3= \dfrac{x + 10 }{x}[/tex]

[tex] \qquad \sf  \dashrightarrow \:3x={x + 10 }{}[/tex]

[tex] \qquad \sf  \dashrightarrow \:3x - {x = 10 }{}[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 5 \: \: units[/tex]

So, the required Sides of Triangle ABC are :

AB = 14 + 7 = 21 units

AC = 18 units

BC = 10 + 5 = 15 units

Therefore, Perimeter = AB + BC + AC :

[tex]\qquad \sf  \dashrightarrow \:21 + 18 + 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:54 \: \: units[/tex]

Jenny chose two cards randomly from a deck. What is the probability of getting an ace and then a king?​

Answers

like a 2 percent chance
because if there is 52 cards in a deck

of money Itzel has left over after buying p bottles
of nail polish
What does the constant 25 represent in this
context?

Answers

The amount of money he had to spend in the beginning. Because 3.99 has to be the cost of each bottle.

I WILL MARK BRAINLIEST

Answers

Answer:

C. $250

Step-by-step explanation:

-To find the unit rate you need to divide the Amount Earned by Time worked

-When you do this you get 6.25

-Then you multiply 6.25 by 40

-That equals 250 and therefore the answer is C

The tip of the second hand travels around the edge of the face of a clock. How far does the tip of the second hand travel between the 6 and the 12, if the length of the second hand is 6 inches?


Recall that StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction.

3 pi inches

6 pi inches

12 pi inches

24 pi inches

Answers

Answer:

6 pi inches

Step-by-step explanation:

Entire minute is one entire circle

  circumference = pi * d = pi * 2r = pi * 2 * 6 = 12 pi inches

from 6 to 12 position is half of a cirlce , so 6 pi inches

Answer:

6 pi inches

Step-by-step explanation:
IT MIGHT BE WRONG IF IT IS LET ME KNOW

have a nice day/night

-<-   :)

7
Write the expanded form of 0.031 with fractions. Then complete
the steps to show how to write 0.031 as a fraction.
0.031 =
Х
1
+
100
Х
1,000
3
=
1
+
=
+
1,000 1,000
1,000

Answers

Answer:

soulutions

0,03| = 3×1^100 × 1× 1^1000

=3^100 + 1^1000

=30^1000 + 1^1000

=31^1000

(3=3×10 =30 )

(100 1000 1000 )

Find the volumn of prism given figures​

Answers

[tex]v = (5 \times 3 \times 6.5) + (2 \times 4 \times 6.5)[/tex]

[tex]v = 15 \times 6.5 + 8 \times 6.5[/tex]

[tex]v = 97.5 + 52[/tex]

[tex]v = 149.5 \: \: \: {cm}^{3} [/tex]

2. Solve for the missing side

It is required to show the work when you got the answer

Answers

Answer: The answer is 15.

Step-by-step explanation:  I used the pythagorean theorem, which is squaring the "legs" of the right angle, which is 9m and 12m, then adding the answer and using the square root of the sum.

help me please i need help with all other 5 questions

Answers

Answer:

[tex] {6}^{3 } [/tex]

Step-by-step explanation:

[tex] {6}^{5 - 2 } \\ {6}^{3} [/tex]

2(7+1)divided by 4+5

Answers

2(7 + 1) : 4 + 5 = 9/
1=9

What is the area of the unshaded part of the rectangle to the right?
A. 19,000 ft²
B. 45,000 ft²
C. 28,000 ft²
D. 26,000 ft²

Answers

Answer:

D 26000

Step-by-step explanation:

100 x 100 = 10000

120 x 150 = 18000/2 = 9000

150 x 300 = 45000

10000 + 9000 = 19000

45000 - 19000 = 26000

please help me with this problem​

Answers

Answer:

x=34

Step-by-step explanation:

This is a 180-degree angle. This means, that when added, both sides must equal 180.

180-151=29

Since there is a "-5" on the side of x, we must add five to find x.

29+5=34

x=34

For what value of x does 64 superscript 3 x baseline = 512 superscript 2 x 12?

Answers

The value of x in the equation [tex]64^{3x} = 512^{2x}[/tex] is infinite

How to determine the value of x?

The equation is given as:

[tex]64^{3x} = 512^{2x}[/tex]

Rewrite [tex]64^{3x}[/tex] and [tex]512^{2x}[/tex] in base 2

[tex]2^{6*3x} = 2^{9*2x}[/tex]

Evaluate 6 * 3x and 9 * 2x

[tex]2^{18x} = 2^{18x}[/tex]

By comparing the exponents, we have:

18x = 18x

Divide both sides by 18x

1 = 1

Hence, the value of x in the equation is infinite

Read more about equation solutions at:

https://brainly.com/question/7784687

#SPJ4

Answer:

D) No Solution

Step-by-step explanation:

What is the solution of log(3x+4)^125 = 3? (3x+4) is the base. 125 is the argument.

x=1/3
x=1
x=7/3
x=4

Answers

Answer:

x = 1/3

Step-by-step explanation:

[tex] = > log_{(3x + 4)}125 = 3[/tex]

[tex] = > {(3x + 4)}^{3} = 125 \: ( \because \: log_{a}b = x = > {a}^{x} = b)[/tex]

[tex] = > 3x + 4 = \sqrt[3]{125} = 5[/tex]

[tex] = > 3x = 5 - 4 = 1[/tex]

[tex] \therefore \: \: x = \frac{1}{3} [/tex]

Hope you've understood the solution.

Which of the following can hold about 2 liters of water? A. a lemonade pitcher B. a pond C. a coffee mug D. a medicine dropper​

Answers

A. a lemonade pitcher

bryan is a salesman in a buy and sell who earns 3 1/2% commission on every item he sell. if he sold a total of 150,000 how much is his commision

with solution please

Answers

Answer:

If commission is 31/2 percent check first image else go through second picture

pls help on math lol​

Answers

Answer:

The slope is -8 and the y intercept is -6

Step-by-step explanation:

The first numbers are the slopes and the one after that is the y intercept. ALWAYS

The slope is -8 and intercept is negative 6

7) There are 260 athletes at a meeting. They
each shake hands with everyone else.
How many handshakes were there?

Answers

33670
There were 260 people this means 1 person shakes the hand 259 people so we multiply 260 by 259 but each handshake count twice as there are two people involved so we will divide this by two

if f(x)= 3/x+2 - /x-3, complete the following statement: The domain for f(x) is all real numbers ___than or equal to 3.

Answers

Answer:

greater probably i am guessing its just a guess it also could be lower i dont know the question isnt clear

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