Find the area of the missing square off of leg a if the area of one square is 369 and the area of another is 81.


A - 19.2
B - 144
C- 12
D- 288

Find The Area Of The Missing Square Off Of Leg A If The Area Of One Square Is 369 And The Area Of Another

Answers

Answer 1

Solution:

Note that:

Area of square = s² (s = Side length)

Finding the leg of a square with area of 369 units²

c² = 369=> c = √369 units

Finding the leg of a square with area of 81 units²

b² = 81=> b = √81 = 9 units

Finding side length a using Pythagoras theorem

(√369)² = 9² + a²=> 369 = 81 + a²=> 369 - 81 = a²=> 288 = a²=> a = √288 = √144 x 2 = √12 x 12 x 2 = 12√2 units

Finding the missing area of the square.

Area of square = a²=> Area of square = a² = (a)²=> Area of square = (12√2)²=> Area of square = (12√2)(12√2) = 288 units²

Option D is correct.


Related Questions

A cube with 2 meters.explain what happens to the volume of the cube if the length of the sides is doubled pls answer this for me

Answers

Answer:

The volume will be multiplied by 8.

Step-by-step explanation:

If the sides are doubled, what is going to happen to the volume? First, let's find out what the initial volume is first!

The side lengths are 2 meters. With squares/cubes, all sides are equal.

So, the length, height, and width are the same.

For the volume, we need to multiply those values.

2*2*2=8 meters

That's the initial volume.

Now, let's find out what the volume will be once we've double the side values.

2*2=4

The side values are now four.

Let's multiply!

4*4*4=64 meters

It looks like the volume multipled by eight fold.

Is the equation y/x=8 direct variation, inverse variation, or neither? Explain

Answers

Answer:

It's a direct variation, as the ratio between x and y is constant

Find the surface area of a rectangular prism with a length of 13 ft,
width of 8 ft and height of 18 ft.

Answers

A=964ft²
Length:13 ft
Width:8 ft
Height:18 ft

Work out
(4 x 10-1) + (4 x 10-1)
Give your answer in standard form.

Answers

(4 x 10-1) + (4 x 10-1)
= 8 x 10-1

Tyler solved an inequality to determine the number of songs he can buy with a $20 credit at his favorite music website. The solution is graphed below. A number line going from 5 to 13. A solid circle is at 8. Everything to the left of the circle is shaded. Which phrases accurately describe all the possible quantities of songs he can buy? Select two options. No more than 8 songs at least 8 songs a minimum of 8 songs at most 8 songs fewer than 8 songs.

Answers

Tyler can buy at most 8 songs.

We have given that,Tyler solved an inequality to determine the number of songs he can buy with a $20 credit at his favorite music website.

What is the meaning of inequality?

inequality, In mathematics, a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

A number line going from 5 to 13.

A solid circle is at 8.

Therefore,from the given we can say that,

he cannot buy no more than 8 songs.

Therefore,Tyler can buy at most 8 songs.

To learn more about the inequality visit:

https://brainly.com/question/20519560

find the volume of the cone

Answers

The volume of the cone is [tex]\frac{1}{3} \pi r^{2}h[/tex]

r: radius --> 6fth: height --> 6ft[tex]\pi[/tex] = 3.14

Volume = [tex]\frac{1}{3} \pi (6)^{2} *6=226.08ft^{3}[/tex]

Hope that helps!

PLEASE HELP Giving 50 POINTS PLEASE EXPALIN ANSWER​

Answers

The answer for number 10 and your welcome

PART 1: Julie is incorrect ; 15/4 ≠ 3/2

PART 2: LIZ IS CORRECT

pl.z si.r hel.p m.e math geometry questio.n......

x=65
y=60
p=60
q=65
r=115 How?​

Answers

[tex]\\ \rm{:}\dashrightarrow p+120=180[/tex]

[tex]\\ \rm{:}\dashrightarrow p=60[/tex]

And

q=65°(Opposite angles are equal

Now

[tex]\\ \rm{:}\dashrightarrow r+65=180[/tex]

[tex]\\ \rm{:}\dashrightarrow r=115[/tex]

So

[tex]\\ \rm{:}\dashrightarrow x=q(Opposite interior angles)=65[/tex]

y=p=60°

Answer:

p = 60°

r = 115°

q = 65°

y = 60°

x = 65°

Step-by-step explanation:

Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.

Therefore, the linear pairs are:

   p + 120° = 180°

⇒ p = 60°

   r + 65° = 180°

⇒ r = 115°

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

Vertical angle theorem: a pair of opposite angles formed by intersecting lines.  Vertical angles are always congruent (equal).

Therefore, the vertical angles are q and 65°:

⇒ q = 65°

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

Consecutive interior angle theorem:  if a transversal intersects two parallel lines, each pair of consecutive interior angles is supplementary and so their measures sum to 180°.

Therefore, the consecutive interiors angles are:

   120° + y = 180°

⇒ y = 60°

   x + r = 180°

⇒ x + 115° = 180°

⇒ x = 65°

What is the solution to this inequality? 3x+7>16 Drag and drop a symbol and number to correctly complete the inequality.

PLEASE HELP!

Answers

Answer:

x > 3

Step-by-step explanation:

Step 1: Subtract 7 from both sides.

[tex]3x+7-7 > 16-7[/tex] [tex]3x > 9[/tex]

Step 2: Divide both sides by 3.

[tex]3x/3 > 9/3[/tex] [tex]x > 3[/tex]

Therefore, the solution is x > 3.

Answer:

[tex]\displaystyle 3 < x[/tex]

Step-by-step explanation:

[tex]\displaystyle 3x + 7 > 16 \hookrightarrow \frac{3x}{3} > \frac{9}{3} \\ \\ x > 3[/tex]

The above answer is written in reverce, and is still the same result.

*Now, in case you did not know how we arrived at the division, seven was deducted from both sides of the inequality to give you [tex]\displaystyle 3x > 9.[/tex]From there, we splat both sides in third to give you the above result.

I am joyous to assist you at any time.

What is the approximate length of arc s on the circle? 5. 23 in. 41. 87 in. 52. 36 in. 104. 67 in.

Answers

Answer:

need PPO

Step-by-step explanation:

need points I am 5 grade student sorry

Jack burned 150 calories on the elliptical and 210 calories on the treadmill. What do a the ratio of calories burned on the elliptical to calories burned on the treadmill?

Answers

Answer:

5/7

Step-by-step explanation:

When you reduce 150/210 you get 5/7, this is the reduced form

Manny's Restaurant bought 9 1/4 pounds of onions. The restaurant bought 7 3/4 times as much potatoes as onions. How many pounds of potatoes did the restaurant buy?

Answers

Answer:

71.6875 pounds of patatoes.

Step-by-step explanation:

9.25x7.75 = 71.6875

0.32 with the 2 repeating as a fraction

Answers

Answer:

29/90

Step-by-step explanation:

Use the formula:

((DN x F) - NRP)/D

DN = Decimal Number

F = 10 if one repeating number, 100 if two repeating numbers, 1000 if three repeating numbers, etc.

NRP = Non-repeating part of decimal number.

D = 9 if one repeating number, 99 if two repeating numbers, 999 if three repeating numbers, etc.

((0.32 x 10) - 0.3)/9

= 2.9/9  = 29/90

6. Ms. Carson drove 96 miles in 1.5 hours.
What was her speed in miles per hour?
A. 48 miles per hour
B. 54 miles per hour
C. 64 miles per hour
D. 144 miles per hour

Answers

Answer:

c

Step-by-step explanation:

divide 96 by 1.5 and you'll get 64

Answer:

64

Step-by-step explanation:

I first go through every answer and multiply it by 1 and then dvide it by 2 and add it onto the first number. The answer that makes sence here is 64.

64/2 = 32

64 + 32 = 96

Have an amazing day!

PLEASE RATE!

Penelope is now 3 times the age of jaslin. If jaslin will be 12 in 3 years, how many years ago was Penelope 13 years ago?

Answers

Answer:

Penelope is 14 years old.

Step-by-step explanation:

- Jaslin is 9 years old (since she'll be 12 in 3 years)

- So, you multiply 9 by 3 (since Penelope is 3 times Jaslin's age), which gives you 27.

- Then minus 13 from 27 (since we're solving for how old Penelope was 13 years ago), which gives you 14

Hope this helps!

30 POINTS!!
Create one equation with the distributive property and show the work to solve it.

Answers

Answer:

173

Step-by-step explanation:

6+4/8*2+(4+9)^2-3

6+4/8*2+13^2-3

6+4/8*2+169-3

6+1/2*2+169-3

6+1+169-3

173

3(x + 5)

The distributive property states that you are distributing whatever is outside the parenthesis to all terms within the parenthesis. For complex distributive questions, you will have to simplify the parenthesis first (if you can) before distributing.

In this case, the example given is 3(x + 5).

First, distribute 3 to all terms in the parenthesis by multiplication:

3(x + 5)

= (3 * x) + (3 * 5)

= 3x + 15

3x + 15 is your answer.

~

Another more complex distribute property can involve powers. Take for example:

(7x + 5)²

In this case, you will use the distributive method of FOIL, or (First, Outside, Inside, Last). Set the question:

(7x + 5)² = (7x + 5)(7x + 5)

First: 7x * 7x = 49x²

Outside: 7x * 5 = 35x

Inside: 5 * 7x = 35x

Last: 5 * 5 = 25

Next, combine like terms:

49x² + 35x + 35x + 25

49x² + (35x + 35x) + 25

49x² + (70x) + 25

49x² + 70x + 25 would be your answer.

~

What values are needed to make each expression a perfect square trinomial? x2 4x x2 – 10x.

Answers

The values needed to make each expression a perfect square trinomial is 4 and 25

Answer:

Step-by-step explanation:

4 and 25

In the given rate of 12,060 cows per 30 farms, what would be the unit rate per farm?

Answers

Answer:

402 cows per farm

Step-by-step explanation:

12060/30

=402

Q2 ) A cylinder with a diameter of 4 ft , and height of 6 ft . Find the VOLUME and SURFACE are of the cylinder .

Answers

Answer:

The volume is ten(10)and the surface is also ten(10)

A colony of microbes doubles in population every 6 hours. Explain why we could say that the population grows by a factor of 6 square 2 every hour.​

Answers

Answer:

please mark brainlyest

6 = 200

12 = 400

18 = 800

24 = 1600

30 = 3200

36 = 6400

42 = 12800

48 = 25600

In theory assuming none of them die and they reproduce at a constant rate.

HELPPP FOR BRIANLEST!!!!

Answers

Answer:

4/13

Step-by-step explanation:

NOT 2010s and NOT spruce wood (4) over total (13)

4/13 is in its reduced form

Hey there ur answer will be 4/13

Determine the value of ∠EBD∠EBD. Show your work.
Giving 18 POINTS

Answers

The value of  ∠EBD is 66°

Vertically opposite angles

Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal. Therefore,

∠EBA≅∠CBF

Therefore,

∠EBA = 40 - x

∠EBA  + ∠EBD = 90°(complementary angles)

Therefore,

40 - x + 6x - 30 = 90

5x = 90 + 30 - 40

5x = 80

x = 80 / 5

x = 16

Therefore,

∠EBD = 6(16) - 30 =  66°

learn more on angles here: https://brainly.com/question/10987237

The Todd family plans to start a small business. Mr. Todd borrows $10,000 from the blank at an annual interest rate 8%for 36 months what's his interest he will pay on his loan

Answers

Answer: They will end up paying $2,400.

Step-by-step explanation:

Since the annual interest rate is 8% of $10,000, take 8% of 10,000 by multiplying these numbers. This gives you $800.

This is only the annual interest rate, the Todd family's loan and interest isn't paid until 36 months have passed. Since 36 months is equal to 3 years, we can multiply the annual rate by 3. (800*3)

The Todd family will pay $2,400 in interest by the end of the period.

A game you is on sale for 15% off if the regular price is $50.00, how much will u save and what will the total sale price be

Answers

Answer:

you will save 7.50$ and the sales price will be 42.50$

Step-by-step explanation:

15% of 50 is 7.5

Can someone help me with this?

Answers

The answer should be -12 because if you look at a number line it’s farthest to the left.

The largest Ferry in the puget Sound fleet can carry 2,500 passengers every hour

Answers

Answer:

A: 2,500×H. B=20,000 passengers

HELP ME FIND THE AREA I AM DESPERATE QUESTION IN LINK

Answers

Answer:

4π cm²

Step-by-step explanation:

The area of a circle is [tex]\pi r^2[/tex], where r = radius. We're given the radius as 2 centimeters, and we have to solve in terms of pi.

[tex]2^2 * \pi[/tex] [tex]4*\pi[/tex] [tex]4\pi[/tex] 4π cm²

Therefore, the answer is 4π cm².

Find the perimeter of a rectangle whose length and breadth are 9.6 cm and 7.9 cm respectively.​

Answers

Question :-

Find the Perimeter of a Ractangle whose Length and Breadth are 9.6 cm and 7.9 cm respectively .

Answer :-

Perimeter of a Ractangle is 35 cm .

[tex] \rule {210pt} {2pt} [/tex]

Given :-

Length of Rectangle = 9.6 cmBreadth of Rectangle = 7.9 cm

To Find :-

Perimeter of Rectangle = ?

Solution :-

As per the provided information in the given question, we have been given that Length of Rectangle is 9.6 cm . Breadth of Rectangle is given 7.9 cm . And, we have been asked to calculate the Perimeter of Rectangle .

For calculating the Perimeter , we will use the Formula :-

[tex] \bigstar \: \: \boxed {\sf { \: Perimeter \: _{Rectangle} = 2 \times [ \: Length + Breadth \: ] \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

⇒ Perimeter = 2 × [ Lenght + Breadth ]

⇒ Perimeter = 2 × [ 9.6 + 7.9 ]

⇒ Perimeter = 2 × 17.5

⇒ Perimeter = 35

Hence :-

Perimeter = 35 cm .

[tex] \underline {\rule {210pt} {4pt}} [/tex]

Note :-

Kindly scroll the Screen form Right to Left direction for Better View .

Find sine and cosine if angle C please

Answers

Answer: sin=7/13,cos=2.sqrt30/13

Step-by-step explanation:

SOH COH TOA  

sin=opp/hyp,cos=adj/hyp

Use pyth. theorem to find the adjacent of C.

13^2 =7^ + b^2

169 = 49 + b^2

120 = b^2

sqrt120 = sqrtb

2.sqrt30 = b is the missing side.

The black shoelace is longer than the green shoelace but shorter than the pink shoelace. The green shoelace is longer than the orange shoelace. Which shoelace is shorter, the pink shoelace or the orange shoelace?

Answers

Ans The orange shoe lace

Step-by-step explanation:

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