Find the area of the shaded region

Find The Area Of The Shaded Region

Answers

Answer 1

Answer:

Area of the shades region = 244.6 ft²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle ABCD- Area of the right angle triangle DEC

Area of the rectangle = Length × width

                                    = 29.8 × 13

                                    = 387.4 ft²

By applying Pythagoras theorem in the right triangle DEC,

(Hypotenuse)² = (leg 1)² + (leg 2)²

CD² = DE² + EC²

(29.8)² = DE² + (28)²

888.04 = DE² + 784

DE² = 888.04 - 784

DE = 10.2 ft

Area of ΔDEC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(10.2)(28)[/tex]

                        = 142.8 ft²

Area of the shades region = 387.4 - 142.8

                                             = 244.6 ft²

Find The Area Of The Shaded Region

Related Questions

4. If z/y = x , which of the following statements is true?

Answers

[tex]\longrightarrow{\blue{ c. \: y.x = z }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{z}{y} = x[/tex]

[tex]➺ \: z = y.x[/tex]

[tex]➺ \: y.x = z[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Option C : y . x = z is the correct answer.

We have the following expression -

[tex]$\frac{z}{y} = x[/tex]

We have to identify the true statements from the one's mentioned.

If  [tex]$\theta = \theta_{o}[/tex](1 + R) , then find R ?

We have -

⇒ [tex]$\theta = \theta_{o}[/tex](1 + R)

R =  [tex]\frac{\theta}{\theta_{o} } - 1[/tex]

According to the question, we have -

[tex]$\frac{z}{y} = x[/tex]

We can rewrite it as -

x . y = z

Hence, Option C is the correct answer.

To solve more questions on Rearranging expressions, visit the link below -

https://brainly.com/question/8864600

#SPJ6

What’s the measure of POQ?

Answers

Answer: 70 degrees 35 times 2


Why was Elmo's Report Card All Wet?

Answers

Answer:

why was it ‍♂️

All of his grades were down below c level

hehe

=)

A square pyramid and its net are shown below. What is the surface area of the pyramid?

Answers

Answer:

376

Step-by-step explanation:

16×16+16×15÷2

=256+120

=376

376 is the anwser because i just did this test

PLEASE HELP DUE SOON PLEASE

Answers

Answer:

a.) He should shade in two

b.) This is because 7 is the magic number. This is in the sense that on player B's next turn there will be either 8 or 9 colored circles, which means you can just fill in the remaining amount.

Step-by-step explanation:

Do you know how to do this?

Answers

Answer:

[tex]y=4(3)^{x}[/tex]

Step-by-step explanation:

Let the exponential function is,

f(x) = (b)ˣ

If this function has the base (b) = 3, function will be.

f(x) = (3)ˣ

If this function is transformed by a vertical stretch by a factor of 4,

New function will be,

g(x) = 4(3)ˣ

If the function 'g' is reflected across y-axis, new function will be,

h(x) = g(-x)

h(x) = [tex]4(3)^{x}[/tex]

Therefore, equation of the function will be,

[tex]y=4(3)^{x}[/tex]

find the location of Q​

Answers

Answer:

6 pretty sure

Step-by-step explanation:

3 step by step below

If m and n are two natural number and m^n =8,then n^mn is.​

Answers

Answer:

729

Step-by-step explanation:

M has to be 2 and n has to be 3, because 2^3 = 8

if it was 3^2 it would be 9

2^3 = 8

3^(2*3) = 3^6 = 729

If my answer is incorrect, pls correct me!

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

-Chetan K

If Line segment C B. bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options.

m∠ABC = 125° and AB ≅ DB
ΔACD is isosceles with base AD
ΔABD is isosceles with base AD
CD = 52 cm
AB = 29 cm

Answers

1.2. I don’t know the third one

David measures a side of a piece of wood. The length is 8 feet and the width is one-half if the length. What is the area, in square feet, of the piece of wood?

A=lw
A: 4
B: 16
C:32
D:108​

Answers

Answer: The area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

Step-by-step explanation:

Give: Length = 8 feet

Width = [tex]\frac{1}{2} \times 8[/tex] = 4 feet

As piece of wood is similar to that of a rectangle. Hence, formula to calculate area is as follows.

[tex]Area = length \times width[/tex]

Substitute the values into above formula as follows.

[tex]Area = length \times width\\= 8 feet \times 4 feet\\= 32 ft^{2}[/tex]

Thus, we can conclude that the area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

what is the factor of 3x^{2} +9x-12=0[/tex]

Answers

(3x + 12)(x - 1)

Or even better 3(x + 4)(x - 1)

Please i need this turned in by 2:00 om so dont answer if you dont know<3
Consider the equation 1.5x+4.5y=18.

1. If we graph the equation, what is the slope of the graph?

2. Where does the graph intersect the y-axis?

3. Where does it intersect the x-axis?

Answers

Answer:

slope = -1/3

y-intercept = 4

x-intercept = 12

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope and b is the y-intercept

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

rearrange into slope intercept form

1.5x + 4.5y = 18

subtract 1.5x from both sides

4.5y = -1.5x + 18

Divide both sides by 4.5

y = (-1/3)x + 4

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

Slope

m = -1/3

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

y-intecept

b = 4

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

x intercept

this is where  y = 0

0= (-1/3)x + 4

add (1/3)x to both sides

(1/3)x = 4

Multiply both sides by 3

x = 12

How do you know what method (SSS, SAS, ASA, AAS) to use when proving triangle congruence?
Provide the definitions of these congruency methods.

Answers

Answer:

it depends on the size and angles that are given

SSS means side side side

SAS means side angle side

ASA means angle side angle

AAS means angle angle side

Solve the equation 3x - 13y = 2 for y

Answers

Answer: Y= -2/13 + 3x/13

I hope that help:)

What is the y-intercept (b) of a line with slope of 1/5 and going through the point (5,4) just the y-intercept)

Answers

Answer:

y - intercept = 3

Step-by-step explanation:

Equation of a line :

                    [tex](y - y_1) = m(x - x_1)[/tex]

[tex](x_1, y_1) = (5, 4)[/tex] , [tex]slope, m = \frac{1}{5}[/tex]

Substituting the values in the equation:

[tex](y - 4) = \frac{1}{5}(x - 5)\\\\y = \frac{1}{5} x - 1 + 4\\\\y = \frac{1}{5}x +3[/tex]

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!! Solve for X for the following

Answers

Answer:

1. 51

2. 8

3. √2 or 1.41

Step-by-step explanation:

using pythagorean theorem

Answer:

1) x = 51

2) x = 8

3) x = [tex]\sqrt{2}[/tex] or approximately 1.4142

Step-by-step explanation:

These are simple Pythagorean theorem questions. Remember, the Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex], where a and b represent the legs of the triangles, and c represents the hypotenuse, the side opposite to the 90 degree angle in the triangle. Now simply use the values of a, b, or c, depending on what is given, to solve for the missing side x.

In question 1, you have two legs with sides 45 and 24. Therefore use the Pythagorean theorem where a and b equal 45 and 24 respectively.

[tex]45^2+24^2 = x^22025+576 = x^22601 = x^2x = 51[/tex]

So the answer to question 1 is 51. Repeat this process for the rest of the questions.

In question 2, we are given the hypotenuse and 1 leg, and are missing the other leg. So set your equation up like so, and then solve,

[tex]x^2+6^2=10^2x^2+36=100x^2=64x=8[/tex]

So the answer to question 2 is 8. Now one last time for the 3 and final question. We are given two legs, and are missing the hypotenuse. So set your equation up similar to the first question.

[tex]1^2+1^2=x^21+1=x^22 = x^2x = \sqrt{2}[/tex]

So the answer to question 3 is [tex]\sqrt{2}[/tex], or approximately 1.4142

Hope this helped

. There are 575 students in a school. If the number of girls is 54 more than the boys
how many boys are there in the school ?Find✌✌​

Answers

there are 314.5 boys in the school .

Answer:

Solution given

let boys be x and girls be y.

now

according to the question;

x+y=575

and

y=x-54

substituting value of y in equation 1.

x+x-54=575

2x=575+54

x=629/2

x=314.5

Two adjacent angles form an obtuse angle measured 164°. If m<1 = 3x+5 and m<2= 5x+9, find the measurement of the larger angle. Plz help and don't answer if you don't know for sure :) thxx

Answers

Answer:

102.75

Step-by-step explanation:

The two angles add to 164

<1 + <2 = 164

3x+5  + 5x+9 = 164

Combine like terms

8x+14 = 164

Subtract 14 from each side

8x+14-14 =164-14

8x = 150

Divide by 8

8x/8 = 150/8

x = 18.75

The larger angle is 5x+9 = 5(18.75) +9 =102.75

help me pls...............

Answers

Answer:

2.58

Step-by-step explanation:

3 1/3% = 0.03333

2.5 x 1 + 0.33333 gets us 2.5833

Simplify to 2.58

We add the 1 to 0.33333  to get us the original number.

Hope this Helps!

Which graph shows the solution to the system of linear inequalities? ​

Answers

Answer:

Send q picture of the graphs so I can help

Step-by-step explanation:

need pictures of graph

3-4: draw a picture to find the quotient.
5-6: use multiplication to find the quotient.

Answers

Hmm It’s 3-4!!!!!!!!

Please I need help with this!!!!!!!

Answers

Answer:

Step-by-step explanation:

1). Step 4:

   [tex]x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}[/tex]

   [tex]x=\sqrt[3]{5^4}[/tex] [Since, [tex]a^{\frac{1}{3}}=\sqrt[3]{a}[/tex]]

   [tex]x=\sqrt[3]{5\times 5\times 5\times 5}[/tex]

   Step 5:

   [tex]x=\sqrt[3]{(5)^3\times 5}[/tex]

   [tex]x=\sqrt[3]{5^3}\times \sqrt[3]{5}[/tex]

2). He simplified the expression by removing exponents from the given expression.

3). Let the radical equation is,

   [tex](3x-1)^{\frac{1}{5}}=2[/tex]

   Step 1:

   [tex](3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}[/tex]

   Step 2:

   [tex](3x-1)=2^5[/tex]

   Step 3:

   [tex]3x=32+1[/tex]

   Step 4:

   [tex]x=11[/tex]

4). By substituting [tex]x=11[/tex] in the original equation.

   [tex](3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}[/tex]

                         [tex]=(2^5)^\frac{1}{5}[/tex]

                         [tex]=2[/tex]

There is no extraneous solution.

1). Step 4:

   x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}x=534=(54)31

   x=\sqrt[3]{5^4}x=354 [Since, a^{\frac{1}{3}}=\sqrt[3]{a}a31=3a

   x=\sqrt[3]{5\times 5\times 5\times 5}x=35×5×5×5

   Step 5:

   x=\sqrt[3]{(5)^3\times 5}x=3(5)3×5

   x=\sqrt[3]{5^3}\times \sqrt[3]{5}x=353×35

2). He simplified the expression by removing exponents from the given expression.

3). Let the radical equation is,

   (3x-1)^{\frac{1}{5}}=2(3x−1)51=2

   Step 1:

   (3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}(3x−1)51×15=215

   Step 2:

   (3x-1)=2^5(3x−1)=25

   Step 3:

   3x=32+13x=32+1

   Step 4:

   x=11x=11

4). By substituting x=11x=11 in the original equation.

   (3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}(3×11−1)51=(32)51

                         =(2^5)^\frac{1}{5}=(25)51

                         =2=2

There is no extraneous solution.

Select the postulate or theorem that you can use to conclude that the triangles are similar.

SAS Similarity Theorem
ASA Similarity Postulate
AA Similarity Postulate
SSS Similarity Theorem

Answers

Answer:

asa similarity postulate

Need help on this one also

thanks the choices are
1. 3
2. 8
3. 6
4. 4

Answers

Answer:For which situations is it appropriate to use a sample? Select three options.

What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?

What is the average number of rainbows each year in Honolulu?

How many pedestrians would use a walkway built over a busy road?

How many police cars are equipped with computers?

What is the most popular car color in the teachers’ parking lot?

Step-by-step explanation:

Answer:

TV = 4

Step-by-step explanation:

answer choice 4. 4

Find the volume of the pyramid shown.

Answers

Answer:

48

Step-by-step explanation:

I did the work, the answer is 48

The answer would be 40, I just guest and got it right Answer: 40 cubic centimeters

Step-by-step explanation:

I will mark you brainliest if you answer this
show your working
8)(7x3 + 3x2+ 4x + 10) – (10 + 8x + 3x3)
9)(5x4– 4x3– 3x – 4) – (2x – 6x3– 2x4)
10) (7x3– 9x2– 7x – 8) – (8 – 4x2– 6x3)
11) 4(a + 5) – 5(a2– 4a + 7)
12) 8(y + 6) – 6(y2– 6y + 4)
13) 3(c – 4) – 5(c2+ 4c – 8)

Answers

[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution}}[/tex]

8.

[tex]7 {x}^{3} + 3 {x}^{2} + 4x + 10 - 10 - 8x - 3 {x}^{3} \\ = 7 {x}^{3} - 3 {x}^{3} + 3 {x}^{2} + 4x - 8x + 10 - 10 \\ = 4 {x}^{3} + 3 {x}^{2}- 4x[/tex]

9.

[tex]5 {x}^{4} - 4 {x}^{3} - 3x - 4 - 2x + 6 {x}^{3} + 2 {x}^{4} \\ = 5 {x}^{4} + 2 {x}^{4} - 4 {x}^{3} + 6 {x}^{3} - 3x - 2x - 4 \\ = 7 {x}^{4} + 2 {x}^{3} - 5x - 4[/tex]

10.

[tex]7 {x}^{3} - 9 {x}^{2} - 7x - 8 - 8 + 4 {x}^{2} + 6 {x}^{3} \\ = 7 {x}^{3} + 6 {x}^{3} - 9 {x}^{2} + 4 {x}^{2} - 7x - 8 - 8 \\ = 13 {x}^{3} - 5 {x}^{2} - 7x - 16[/tex]

11.

[tex]4a + 20 - 5 {a}^{2} + 20a - 35 \\ = - 5 {a}^{2} + 24a - 15[/tex]

12.

[tex]8y + 48 - 6 {y}^{2} + 36y - 24 \\ = - 6 {y}^{2} + 44y + 24 \\ = 2( - 3 {y}^{2} + 22y + 12)[/tex]

13.

[tex]3c - 12 - 5 {c}^{2} - 20c + 40 \\ = - 5 {c}^{2} - 17c + 28[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]

Please help asap. Thank you! :)

Answers

When he cubed ,

Result is x³

On further squaring x³, he got = (x³)²

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

Therefore, k = 6

Please give real answers with an explaination. I will follow + I will give the brainliest. No Docs/No Files/No Links, only answer with explaination.

Answers

Answer:

134

Step-by-step explanation:

the line where B and X are equal to 180 so you subtract 180 from B witch is 134

Explain how the vertical line test can be used to determine if a graph
is a function.

Answers

Answer:

Step-by-step explanation:

If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Example:

Answer:

Step-by-step explanation:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Kevin plants a 5-yard by 9-yard rectangular vegetable garden. He puts rope around the edges. The rope costs $2 per yard. What is the total cost of the rope?

Answers

The total cost of rope would be 28 dollars
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