How do I solve the area for the shapes?

Answers

Answer 1

Answer:

shaded: 45 units²non-shaded: 36 units²total area: 81 units²

Step-by-step explanation:

A "shaded area" problem can be worked by directly computing the area of the shaded shape, or by decomposing the figure in a convenient way. Here the overall square can be decomposed into unshaded triangles and a shaded square. The triangles have dimensions given, but the smaller square does not. Work must necessarily proceed from given dimensions to arrive at the values associated with dimensions not given.

For a problem like this, working the last question first can make it easier.

Total

The total area is the area of a square 6+3 = 9 units on a side. Its area is ...

Total area = s² = (9 units)² = 81 units²

Non-shaded

The area of each of the four non-shaded triangles is ...

A = 1/2bh = 1/2(6 units)(3 units) = 9 units²

There are 4 triangles with that area that are not shaded, so ...

Non-shaded region = 4 × (9 units²) = 36 units²

Shaded

The shaded region is that portion of the total area that is not Non-shaded. Its area will be the difference ...

Shaded area = Total area - Non-shaded area

Shaded area = 81 units² -36 units² = 45 units²

Related Questions

In a circle, a 225° sector has area 250pi in^2. What is the radius of the circle?

Answers

Answer:

r = 200

Step-by-step explanation:

[tex]Area of sector = (\frac{225}{360})[/tex]×πr² = [tex](\frac{5}{8})[/tex] ×πr²

[tex](\frac{5}{8})[/tex] ×πr² = 250π

[tex](\frac{5}{8})[/tex] ×r² = 250

r² = [tex](\frac{8}{5})[/tex] × 250

r² = 400

r = 200 (r is a length so, it's positive)

(True/False) In an experimental study, participants are randomly allocated (by chance, rather than by choice), to two different experimental groups. The reason for randonmization is to reduce bias.

Answers

Answer:

TRUE

Step-by-step explanation:

find the value of angle a

Answers

Answer:

angle A = 153 degrees

Step-by-step explanation:

solve for the interior missing angle.

so from the interior we know that we have 2 angles

1 is 63 degrees and 1 is 90 degrees because we see that there is a right angle and all right angles = 90 degrees, we also know that the sum of all angles in a triangle should equal 180 degrees. if we have a 63 degree angle and a 90 degree angle we know that the sum of both of them is 153 degrees we still need to find that missing angle and we can do that by minusing 153 from 180 which is 27 so the measurement of the interior angle of the triangle is 27 but that is not what we are looking for but the answer is already given to us because we know that a straight line is 180 degrees so we just minus that missing angle from 180 degrees we conclude that A = 153 degrees

Send help haha
Use the drop-down menus to identify the domain and range of each function below.

The drop-down menu has the same options for every one of them.

Please answer correctly ASAP ^

Answers

Answer:

Domain: input values (x-values)

Range: output values (y-values)

Absolute value: remove negative sign → output becomes positive
eg. |-2| = 2

Squaring a number → output is always positive

[tex]a(x)=3|x|[/tex]

Domain = all real numbers

Range = all positive numbers and zero

[tex]b(x)=3x^2[/tex]

Domain = all real numbers

Range = all positive numbers and zero

Which of the following rational functions is graphed below?
110
- 10
10
Iho-
O
A. F(x) = 3/x

B. F(x) = х/X + 3

O c. F(x) = x-3/x

D. FX) = x/3

Answers

Answer: A
Hope this helped.

The given graph is of the rational number f(x)=1/x(x-3)

What is rational numbers ?

All the numbers which are in the form of p/q where q is not equal to zero is known as rational numbers.

here, we have,

Which function represents the given graph :

The given graph represents the function f(x)=1/x(x-3)

Since the value of x can never be equals to zero in this function as graph is representing.

Hence option (b) f(x)=1/x(x-3) is the correct answer.

Learn more about rational functions at

brainly.com/question/12088221

#SPJ7

A varies inversely with B.
When A is 0.25, B is 4.
Find the value of B when A is 5.

Answers

Answer:80

Step-by-step explanation:if you multiply a times 20 to get 5, you have to multiply b times 20 to get 80

thanks for the question.the the answer is 0.0625

Bag A contains 5x coins.
Bag B contains 3x coins.
8 coins are taken from Bag B and put into Bag A
The ratio of coins in Bag A to Bag B is now 11:5
Work out the total number of coins.

Answers

Answer:

given ,

number of coins in bag A = 5x

number of coins in bag B = 3x

_____________________________________

According to Question ,

8 coins are taken from Bag B and put into Bag A

The ratio of coins in Bag A to Bag B is now 11 : 5

therefore ,

[tex] \frac{5x + 8}{3x - 8} = \frac{11}{5} \\ \\ 5(5x + 8) = 11(3x - 8) \\ \\ 25x + 40 = 33x - 88 \\ \\ 33x - 25x = 40 + 88 \\ \\ 8x = 128 \\ \\ x = \cancel\frac{128}{8} \\ \\ \fbox{x =16} [/tex]

now ,

[tex]no. \: of \: coins \: in \: bag \: A = 5x \\ \dashrightarrow{5 \times 16 = 80 \: coins}[/tex]

[tex]number \: of \: coins \: in \: bag \: B = 3x \\ \dashrightarrow{3 \times 16 = 48 \: coins}[/tex]

[tex]total \: number \: of \:coins = 80 + 48 \\ \dashrightarrow{ 128 \: coins}[/tex]

hope helpful :D

The radius of a cylindrical construction pipe is 2 ft. If the pipe is 24 ft long, what is its volume?
Use the value 3.14 for I, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
2 ft
24 ft

Answers

Answer:

96π ft³ or 301.44 ft³

Step-by-step explanation:

Volume = Base Area x Height

V = (πr²)(h)

V = (π)(2²)(24)

V= 96π ft³

help pls
ty in advance

Answers

[tex]\bold{\huge{\underline{ Solution\: 2 }}}[/tex]

The name of the circle is IJKLThe name of central Angle[tex]\sf{\underline{= {\angle} IHJ }}[/tex]The name of the secant = KL

[tex]{\bigstar}[/tex]Circle :- It is a round figures, which has no end points.

[tex]{\bigstar}[/tex] Central angle :- It the angle ,which lie in the middle of the circle.

Here, H is the mid point of the circle .So, Angle IHJ is the central angle.

[tex]{\bigstar}[/tex] Secant :- A line drawn in circle in such a way that it intersect the circle from two distinct points. Then, It is called secant .

Here, KL is the line which acts as a secant because it intersect the circle from point K and point L.

[tex]\bold{\huge{\underline{ Solution\: 3 }}}[/tex]

Semicircle = FGH and FIH Minor Arc :- FG or GH Major Arc :- FHG or GFH

[tex]{\bigstar}[/tex] Semicircle :- Semicircle is nothing but the half of the circle.

Here, In second diagram

FGH and FIH are acting as two semicircles which simulatineously forming one circle.

[tex]{\bigstar}[/tex] Minor Arc :- Minor Arc is nothing but the smaller arc of the circle and it is always smaller than the half of the circle that is semicircle.

Here,

FG or GH are the minor arc of the given circle.

[tex]{\bigstar}[/tex] Major Arc :- Major Arc is nothing but the largest arc of the circle and it is always larger than the half of the circle that is semicircle.

Here,

FHG or GFH is the major arc as it is larger than the semicircle of the given circle .

Saleem wants to create a table of ratios that are equivalent to 2
3
. He includes the ratios 4
5
and 5
6
.

Are these ratios equivalent to 2
3
? Explain your reasoning.

Answers

Answer:

yes 6 is the equivalent of 3

Answer: 6 is the equivalent of 3

Step-by-step explanation: if wrong comment n I will fix

Why are fractions 2/4 and 5/10 equivalent

Answers

2 is half of 4 and 5 is half of 10 which makes both fractions equal to 1/2

Answer:

They both equal 20 when you do the butterfly method. They are all factors of 20.

Step-by-step explanation:

2/4 5/10

2x10=20

4x5=20

9 halves of a cupcake for my family plus extra for my 6 friends how many should I
buy.

Answers

Answer :- 7½ or 8 ( explained below)

Explanation:-

Given :-

9 halves for family6 halves for friends

So in total :- 15 halves for both of them

It means :- 7½ cupcakes in total u required

if u can buy an half cupcake then u need to buy :- 7½

If u can't but an half cupcake then u need to buy :- 8

Answer:

Step-by-step explanation:

8 for learning games

the inverse of the function f(x)=-x+3

Answers

Answer: [tex]f^{-1}(x)=-x+3[/tex]

Step-by-step explanation:

To find the inverse of a function replace f(x) with x and replace the original x with y

[tex]f(x)=-x+3\\x=-y+3[/tex]

Now solve for y

[tex]x=-y+3[/tex]

First subtract 3 from both sides

[tex]x-3=-y+3-3\\x-3=-y[/tex]

Now divide both sides by -1 (this will make y positive)

[tex]\frac{x-3}{-1} =\frac{-y}{-1} \\-x+3=y[/tex]

Now replace y with the inverse of f(x), [tex]f^{-1}(x)[/tex]

Can the sides of a triangle have lengths 2, 1, and 2?
yes
no
Submit

Answers

Answer:

YES

Step-by-step explanation:

Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. (Any side of a triangle is always shorter than the sum of the other two sides)

1+2 >2

2+2>1

What is the probability that a student chosen randomly from the class is a male who does not have an A?

Answers

Answer:

6/19

Step-by-step explanation:

2+4+7+6=19

dose not have an a=6

6/19

Which table represents the function y =1/3 x + 4?

Input x 0 -3 -6
Output y 4 3 2

Input x 6 9 12
Output y 6 9 12

Input x 0 3 6
Output y 4 6 8

Input x 3 6 9
Output y 5 7 9

Answers

Answer:

i think that is the second one but im not sure.

help, asap, explain, thx
a^2-b^2=8
a+2=2
then a-b=?

Answers

Step-by-step explanation:

a + 2 = 2

a = 2 - 2

a = 0

a² - b² = 8

0 - b² = 8

b² = -8

This question is impossible.

A dodgeball has a volume of approximately 113.04 cubic inches. Find the circumference of the ball. Use
3.14 for O.
14

Answers

Answer:

18.84 inches.

Step-by-step explanation:

Volume = 4/3 π r^3 = 113.04

r^3 = 113.04 / 4/3 * 3.14

r^3 = 27

r = 3 inches,

So the circumference = 2 * 3.14 * 3

= 18.84 inches.

A wild population of penguins is being monitored in 2000, the population was 200 penguins and
thanks to conservation efforts the population is growing by 296 every year.

What is the initial value?

Answers

Answer: 200

Step-by-step explanation:

The initial value is 200, since this is the population before conservation efforts began.

write an expression that is equivalent to 21h - 10h + 16 - 9 + 14h + 5 .

Answers

21h-10h+16-9+14h+5

Collect the like terms. Like terms are numbers that have the same variable (like x, y, a, n...)

Like terms are:
21h, -10h, +14h

And

16, -9, +5

So add/ subtract the like terms

21h - 10h + 14h= 25 h

16 - 9 + 5 = 12

You can’t add 25h by 12 so your final answer is

25h+12

Answer:
25h+2
Step by step answer
Combining like terms.
start with h
21h-10h+14h=25h
16-9+5=2
so:
25h+2

find the value of a from the following data whose mean is 23 29,33, 27, a, 19, 17, 10

Answers

Answer:

a = 26

Step-by-step explanation:

29 + 33 + 27 + a + 19 + 17 + 10 / 7 = 23

135 + a / 7 = 23

135 + a = 161

a = 26

15-16) 4, 6, 9, 11, 14, 16, _____, 21, ______

Pattern:

Missing Terms:

17-18) 3, 6, 7, 14, 15, _____, ______

Pattern:

Missing Terms:

Answers

Answer:

first pattern: +2, +3 (repeated)

first missing terms: 19, 24

second pattern: *2, +1

second missing terms: 30, 31

Step-by-step explanation:

first pattern:

1. subtract the second term with the first, (6-4=2) then then third with the second (9-6=3).

2. repeat until to prove the pattern, +2, +3

3. apply pattern to missing term, (16+2=19) and (21+3=24)

second pattern:

1. since subtracting the terms does not give us a pattern, try dividing when possible, (6/3=2) and (14/7=2). then subtract the other terms (7-6=1) and (15-14=1)

2. find pattern from calculation, *2, +1.

3. apply pattern to missing terms, (15*2=30) and (30+1=31).

hope this helped! ♡

find the square root of following by division method
5499025

Answers

the answer to your question is 2345

Answer:

2345

Step-by-step explanation:

5499025

5 1099805

5 219961

7 31423

7 4489

67 67

67 1

5x5x7x7x67x67

pick one of the doubles

5x7x67

=2345

brainiest please

why need a question when its on the picture?

Answers

Answer:

Always true.

Step-by-step explanation:

All rectangles are made up of four right angles, which are always congruent.

$20,000 is borrowed at an interest rate of 15% p.a. (per annum) to be paid back over 10
years, calculate the amount of interest, the total repayment and the monthly repayment.

Answers

Answer:

30000 simple interest ,50000 total repayment.

Step-by-step explanation:

sorry iam terrible at explaining,

How do I solve this problem? Also, shouldn't the answer be square root 61 because you do 5^2+6^2=c^2?

Answers

Hey there!

Formula:

a = √p(diagonal)^2 + q(diagonal)^2 / 2

a = √p + q / 2

SOLVING FOR CURRENT EQUATION

a = √10^2 + 12^2 / 2

a = √10 * 10 + 12 * 12 / 2

a = √100 + 144 / 2

a = √244 / 2

a = √61

a ≈ 7.81

Thus, your answer is: √61

Or as you put….

5^2 + 6^2 = c^2

5 * 5 + 6 * 6 = c^2

25 + 36 = c^2

√61 or -√61 = c^2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Which graph represents the function y-3 =3/2 (x-4)?

Answers

Answer:

Below.

Step-by-step explanation:

You haven't sent the graphs.

y - 3 = 3/2(x - 4)

y - 3 = 3/2x - 6

y = 3/2x - 3

- this is the slope intercept form of the graph.

It will be a straight line which rises to the right and passes through the y axis where y = -3. Also it has a slope of 3/2.

Wne y = 0 x = 2 so it passes through the x-axis at x = 2.

Answer:

The correct representation to the given function is graph A

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point. y=−x ^2 −8

Answers

Answer:

Step-by-step explanation:

emma really smells bad do not answer this question

Company X tried selling widgets at various prices to see how much profit they would make. The following table shows the widget selling price, x, and the total profit earned at that price, y. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the profit, to the nearest dollar, for a selling price of 28.25 dollars

Answers

Answer:

y = -7.235451 x^2 + 402.5542 x - 2382.736

A square on the board is chosen at random. Find the probability as a fraction in simplest form

Answers

The probability of selecting a square is the likelihood of the square

The probability that the square selected is a multiples of 3 not less than 10 is 3/20

How to determine the probability?

The given parameters are:

Squares = 20

Multiples of 3 not less than 10 = 3

Stripped balloons = 17

The probability that the square selected is a multiples of 3 not less than 10 is calculated as:

P = n(Multiples of 3 not less than 10)/Total

This gives

P = 3/20

Hence, the probability that the square selected is a multiples of 3 not less than 10 is 3/20