A composite figure is formed by combining a square and a triangle. Its total area is 49.5 ft. The area of the
triangle is 33.5 ft. What is the length of each side of the square? Complete the explanation.
The area of the square is
it?, so each side of the square is
ft.

Answers

Answer 1

Answer:

The length of each side of square is 5ft.

Step-by-step explanation:

A composite figure is formed by combining a square and a triangle. Its total area is 32.5ft squared.

The area of the triangle is 7.5ft squared.Area of combined figure - area of triangle = area of square.

32.5 ft squared - 7.5 ft squared = 25 ft squared.

So, area of square = 25 ft squared.

Now, by putting the formula for getting the length of each side:

Let the side = a.

Area of square = 25 ft squared

Area of square = a²

Using square root both sides we get:

So, the side = 5 ft.

Therefore, the length of each side of square is 5ft.


Related Questions

Find the measure of the angle in the rectangle in the picture below:

Answers

Answer:

72°

Step-by-step explanation:

3 no d anf
answer needed
with process

Answers

Answer:

d) ordered pairs are equal

e) ordered pairs are not equal

Step-by-step explanation:

d) ( 3+4 , 2 - 1)  

x-co ordinate = 3 + 4= 7

y-co ordinate = 2 - 1  = 3

(3+ 4 , 2-1) = (7 , 3)

(3+4 , 2-1)  & ( 7 ,3) are equal

f)Compare the x -co ordiante and y - co ordiante of the two pairs

           p +q = q + p        {addition closed under commutative property}

      but q - p ≠ p - q        {Subtract is not closed under commutative}

(p +q, q - p) & ( q + p , p -q ) are  not equal

A City Council consists of nine men and six women. Three representatives are chosen at random to form a sub-committee. What is the probability one man and two women are chosen?

Answers

Answer:

0.2967 or 29.67%

Step-by-step explanation:

Total number of people

9 + 6 = 15

Combination of 3-people subcommitee without restrictions

15C3 = 15!/(15 - 3)!3! = 15!/12!3! = 15*14*13/2*3 = 455

Combination of 3-people subcommitee with one man ad two women

9C1*6C2 = 9*6!/(6-2)!2! = 9*6!/4!2! = 9*6*5/2 = 135

The probability of one man and two women are chosen

P = 135/455 = 0.2967 or 29.67%

Find f(g(2)) simplify completely f(x)= 6x+9 g(x)=3x

Answers

Answer:

45

Explanation:

Given:

f(x)= 6x+9

g(x)=3x

Go from right to left in such function questions

⇒ f(g(2))

⇒ f(3(2))

⇒ f(6)

⇒ 6(6) +9

⇒ 36 + 9

⇒ 45

Answer:

f(g(2)) = 45

Step-by-step explanation:

f(x) = 6x + 9g(x) = 3x

Finding g(2)

g(2) = 3(2)g(2) = 6

Solving f(g(2))

f(g(2))f(6)f(6) = 6(6) + 9f(6) = 36 + 9f(6) = 45f(g(2)) = 45

need help please with info

Answers

Answer:

So the whole thing is 180, we already have 3x+12, it's C.
Because A would be 3x +180 (1803x) +something else which would bring it over 180.

Step-by-step explanation:

C is the answer because 180 is the toal and it isn't going over 180 right away.

Answer:

C. (3x +12) + x = 180°

Step-by-step explanation:

(3z+12)° is obtuse. x° is acute.

Both are supplementary angles that are linear pair that add up to 180°

(3x + 12)° + x° = 180°

4x + 12 = 180°

4x = 168°

x = 42°

Plug x into (3x + 12)°

3*42° + 12

126 + 12

138°

HELP WILL MARK BRAINLIEST EXTRA POINTS!!!

Answers

Answer:

Step-by-step explanation:

All of the angles will equal up to 180

10x-10=180

180+10 is 190

190=10x     190/10=x     x=19 or R

<Q: 19*2=38-5=33    <Q:33

<P:133-5=128    <P:128

128+33+19=180,

Double checking to fact check the asnwers.

Which expression is equivalent to 2x^2-10x-48in factored form?

Answers

Answer: B

Step-by-step explanation:

What is the overlap of data set 1 and data set 2? high moderate low none

Answers

The overlap of data between both sets of data is low, hence the correct option is B. See below for more.

What is Data Overlap?

From the information provided, we can tell that two of nine samples for both populations correspond.

This results in a data-sharing of around 22%. This reading cannot be categorized as 'medium' because there isn't a lot of matching data.

It also but it's also 'none' because there is a non-negligible match. Hence the correct answer is C - Low.

Learn more about data overlap at:

https://brainly.com/question/3587794

#SPJ4

please help me
covert 2km to m
convert 3 decimeter to mm
covert 1km to cm​

Answers

Answer:

2,000 m

300 mm

100,000 cm

Step-by-step explanation:

Answer:

2 km converted to meters is 2000 meters

3 decimeters converted to millimeters is 300 mm

1 km converted to centimeters is 100,000 centimeters

If 65 is 20% of x, then x = ?

Answers

Step-by-step explanation:

65/x ×100 = 20

6500/20 = x

x = 325 Answer .. option (B)

[tex] \bold{ \underline{ \purple{Question}}}[/tex]

if 65 is 20% of X then x = ?

[tex] \bold{Given}[/tex]

65 is 20% of x

[tex]\bold {\underline{SOLUTION}}[/tex]

65 / 20 = x

[tex] \displaystyle\frac{65}{20} \times 100[/tex]

[tex] \displaystyle \: \frac{65}{2 \cancel0} \times 10 \cancel0[/tex]

[tex] \displaystyle \frac{65 \times 10}{2} [/tex]

[tex] \displaystyle \frac{650}{2} [/tex]

[tex]\displaystyle \frac{ \cancel {650}}{ \cancel2} [/tex]

x= 325 Answer

hence option B is correct.

if 65 is 20% of X then x = 325

question is in the picture

Answers

1) we move 5 digits to the left:10^5

2) we move 4 digits to the left:10^4

3) we move 3 digits to the left:10^3

Keep in mind we are dividing by the powers of ten, if we were to be multiplying then it would have been 10^-5,10^-4 ect..

Answer:

the avswers are

1. 100,000

2. 10,000

3. 1,000

Step-by-step explanation:

divide the number by one and then keep adding zeros

The value of y varies directly with x. When y = 75, x = 1/2 What is the value of y when x = 18?

Answers

Answer: 2700

Step-by-step explanation:

Y = KX

75 = K × ½

75 ÷ ½ = K

75/1 × 2/1 = K

K is 150

Y = 150 × 18

Solve the following problems mentally and match it to its corresponding solution.
Pls Help
4t = 40

10 + t = 14

70 - t = 30

multiple answers , 40, 10 , 4

Answers

Answer:

1. t=102. t=43. t=40

Step-by-step explanation:

Isolate the term of t from one side of the equation.

1. 4t=40

First, you have to divide by 4 from both sides.

4t/4=40/4

Solve.

Divide the numbers from left to right.

40/4=10

t=10

2. 10+t=14

First, change sides.

t+10=14

Then, subtract by 10 from both sides.

t+10-10=14-10

Solve.

Subtract the numbers from left to right.

14-10=4

t=4

3. 70-t=30

First, subtract by 70 from both sides.

70-t-70=30-70

Solve.

30-70=-40

Rewrite the problem down.

-t=-40

Divide by -1 from both sides.

-t/-1=-40/-1

Solve.

Divide the numbers from left to right.

-40/-1=40

t=40

Therefore, the correct answer is t=10, t=4, and t=40.

I hope this helps! Let me know if you have any questions.

Answer:

4t =40 t= 10  4x10=40

10 + t = 14 t=4   10 + 4 = 14

70 - t =30 t= 40  70 - 40 = 30

Hope this helps!

20000 lb equals how many US tons​

Answers

Answer:

10 us tons

Step-by-step explanation:

Answer:

10 Tons

Step-by-step explanation:

this is becuase 2k or 2,000 lbs is equal to 1 US Ton

simply devide the lbs by 2,000 to get the same amount in US Tons

On a coordinate plane, how are the locations of the points (-7 , -4) and (7 , -4) related?A.
A. locations unrelated
B.reflection across the x-axis
C.reflection across both axes
D. reflection across the y-axis

Answers

Answer: reflection across y axis

Step-by-step explanation:

Which number is a solution of the inequality x less-than n3gative 4? Use the number line to help answer the question.

A number line going from n3gative 9 to positive 1.
–3
0
2

Answers

Answer:

-3

Step-by-step explanation:

because a positive minus a negative depending on what the positive = a negative

What is the value of B for the following triangular prism?

Answers

It would be 48ft2. If you need help with anything just ask

Does B refer to the base of this

Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)


4. √(5) * √(5) * √(9)

Answers

[tex]\sqrt 5 \cdot \sqrt 5 \cdot \sqrt 9\\\\=\left( \sqrt 5\right)^2 \cdot \sqrt{3^2}\\\\=5\cdot 3\\\\=15[/tex]

Multiplying and factoring polynomial expressions (9th grade)

Answers

Answer:

1. 2(a^2 + 3a + 9)

2. 5(x^2 - 1)

3. 3(t + 8)(t - 2)

4. n(4 - n)

Step-by-step explanation:

For 1, you can only factor out the constant from each.

For 2, you can also only factor out the constant, but remember that you include the 1 when dividing 5 by 5.

For 3, you can factor out the constant and the variables.

For 4, you can only factor out the variable.

help me please it urgent i have homework anyone there

Answers

Answer:

14.9g + 9.5c

Step-by-step explanation:

g stands for $ earned training & c stands for $ earned working with customers

Anthony trained for 8.5 hours so, 8.5 hours x g $ earned at training = 8.5g

He worked with customers for 4.3 hours, so 4.3 hours x c $ earned with customers = 4.3c

Anthony's total $ earned is 8.5g + 4.3c

Madison trained for 6.4 hours so, 6.4 hours x g $ earned at training = 6.4g

She worked with customers for 5.2 hours, so 5.2 x c $ eared with customers = 5.2c

Madison's total $ earned is 6.4g + 5.2c

Anthony  8.5g  +  4.3c

Madison  6.4g  +  5.2c

If you add both their $ earned training, you get 14.9g

If you add both their $ earned with customers, you get 9.5c

To total what they both earn  it would be 14.9g + 9.5c

what ratio is equivalent to 1.5:6

Answers

Answer:

2:10:12

Step-by-step explanation:

I multiplied all of the numbers by 2

It doesn't matter what number you multiply the numbers by, as long as you multiply all 3 of them.

A bag has 3 balls: 1 orange (0), 1 green (G), and 1 blue (B). A coin has 2 sides:
heads (H) and tails (T).
You randomly pick a ball and toss a coin. What is the sample space?

Answers

Answer:

The sample space is

S= {BH,GH,YH,OH,BT,GT,YT,OT}

Step-by-step explanation:

The sample space refers to the set of all the possible outcomes.

The possible outcomes are:

Head and blue ball: BH

Head and green ball: GH

Head and yellow ball: YH

Head and orange ball: OH

Tail and blue ball: BT

Tail and green ball: GT

Tail and yellow ball: YT

Tail and orange ball: OT

The sample space is S= {BH,GH,YH,OH,BT,GT,YT,OT}


How to solve for “?”
With work please. I know the answer just not how to get it. Thanks!

Answers

Check the picture below.

Bob's Bagels sells 7 bagels for $8.00, and Betty's Bagels sells 9 bagels
for $6.00. Which is the better deal?
3 of 4
The better deal will have the
higher
ratio of dollars per bagel.
To find the better deal, you must compare the fractions
Select...
Comparing the fractions reveals that
Select...
has the better deal

Answers

Answer:

3 of 4

The better deal will have the higher ratio of dollars per bagel.

To find the better deal, you must compare the fractions 8/7 and 6/9.

Comparng the fractions reveals that Betty has the better deal

Step-by-step explanation:

bobbs bagels: 8/7 equals 1.14, so each bagel would cost about $1.14

bettys bagels: 6/9 equals 0.66, so each bagel would cost about $0.66

$0.66 is better than $1.14 per bagel. therefore, bettys bagels are cheaper

hope this helps :)

I really need help, struggling. Question is in image. ​

Answers

Answer:

164

Step-by-step explanation:

Checkpoint 2= -187

Checkpoint 1= -23

The negatives mean how much lower they are from the surface.

To find "how much lower," we need to subtract -23 from -187.

-187-(-23) is the same as -187+23 (2 negatives=1 positive)

-187+23= -164.

However, it's not negative in the answer because by asking how much lower, we don't need to have a negative. "How much lower" is a distance, and a distance is always positive.

The thickness of a book varies directly with
the number of pages in the book. A book is
1.8 cm thick and contains 350 pages. What is
the thickness of the first 84 pages of the book?

Answers

[tex]\qquad \qquad \textit{direct proportional variation}\\\\\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill }\\\\\textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill }\\\\[-0.35em]~\dotfill[/tex]

[tex]\stackrel{\textit{"th" varies directly with "p"}}{th=kp}\qquad \textit{we also know that} \begin{cases} th=1.8\\ p=350 \end{cases} \\\\\\ 1.8=k(350) \implies \cfrac{9}{5}=350k\implies \cfrac{9}{1750}=k~\hfill \boxed{th=\cfrac{9}{1750}k} \\\\\\ \textit{when p = 84, what is "th"?}\qquad th=\cfrac{9}{1750}(84)\implies th=\cfrac{54}{135}\implies th=0.432[/tex]

Simplify:

(
7
p
+
6
)

2
(

1

2
p
)
−(7p+6)−2(−1−2p

Answers

Answer:

−(7p+6)−2(−1−2p) = - 3p - 4

Step-by-step explanation:

−(7p+6)−2(−1−2p) = -7p - 6 + 2 + 4p

                            = (-7p + 4p) + (2 - 6)

                            = -(7p - 4p) - (6 - 2)

                           = - 3p - 4

Are the number of telephone numbers within a particular area code determined by permutations, combinations, both, or neither? Are there any restrictions? Explain your answer with details.

Answers

Answer:

Phone numbers are an example of permutations. In the United States, each phone number consists of ten digits, three for the area code and seven for the unique phone number. (There is also a "1" preceding each phone number to indicate that the first three digits are the area code.)

Step-by-step explanation:

If you are given the graph of h(x) = log6x, how could you graph m(x) = log6(X+3)?
O Translate each point of the graph of h(x) 3 units up.
O Translate each point of the graph of h(x) 3 units down.
O Translate each point of the graph of h(x) 3 units right.
O Translate each point of the graph of h(x) 3 units left.

Answers

Answer:

Translate each point of the graph of h(x) 3 units left.

Step-by-step explanation:

Translate each point of the graph of h(x) 3 units left.

you can use DESMOS

Answer:

  (d) translate 3 units left

Step-by-step explanation:

The translation transformation m(x) = h(x -a) +b will translate the function h(x) right by 'a' units and up by 'b' units.

Here, you have a = -3 and b = 0. The graph of the function will be translated left 3 units.

Find the volume of each composite figure please help

Answers

Volumn = LWH
small rectangle = 5 x 5 x 12 = 300 sq yds
Larger rectangle = 4 x 12 x 18 = 864 sq yds
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