You have two squares. The larger square has a side of 3 more than the smaller square. If the combined area of the two squares is 89 cm squared. What is the length of the smaller square.

A. 3

B. 5

C. 8

D. 10

Answers

Answer 1
The length of the SMALLER square is:
B. 5

Basically I tested each answer choice and see if all the information matches it.
Lets check how my answer is correct:
We know that:
The length of the bigger square is 3 more than the smaller square’s length.
The areas of both squares add up to 89 cm^2
length of the SMALLER square is: 5 cm
length of the LARGER square:
5 + 3 = 8 cm

Area of smaller square:
5^2 = 25 cm^2

Area of bigger square:
8^2 = 64 cm^2

ADD UP BOTH AREAS OF SQUARES:
25 + 64 = 89 cm^2

Hope this helps!
Answer 2
The length of a side of the larger square is 3 cm more than the length of a side of the smaller square.
let the side of the smaller square is a cm then larger square has sides a+3 cm
The sum of the area of two squares is 89 square centimeters.
so a^2+(a+3)^2=89
or a^2+a^2+9+6a=89
or 2a^2+6a-80=0
or a^2+3a-40=0
or a^2+8a-5a-40=0
or a(a+8)-5(a+8)=0
or (a+8)(a-5)=0
or a+8=0=> a=-8 rejected for -ve value
then (a-5=0 =>a=5 the side of the smaller square
& the sides of the larger square is 3+5=8 cms
ans

Related Questions

hello, please answer
if
[tex] \frac{a}{b} = \frac{c}{d} = \frac{2}{5} [/tex]
then what is the answer of
[tex] \frac{a + 3c + 4}{b + 3d + 10} [/tex]

Answers

Step-by-step explanation:

Given,

a/b = c/d = 2/5

=> a + 3c + 4/b + 3d + 10

=> (a/b) + (3c/3d) + (4/10)

=> 2/5 + 3(c/d) + 4/10

=> 2/5 + 3(2/5) + 4/10

=> 2/5 + 6/5 + 2/5

=> 2 + 6 + 2/5

=> 10/5

=> 2

pe
Two companies allow you to pay monthly for your food
A charges a one time fee of $150 and $45 per month Company B charges a
one time fee of $125 and $50 per
month

Answers

Answer:

A: 150+(45•p)

B: 125+(50•p)

Step-by-step explanation:

You multiply the monthly fee by a letter representing an unknown number because we dont know how many months you are staying with each company and we add the one time fee because you are only paying once, so in conclusion you add the one time fee to the result of  the monthly fee by how many months.

I have no clue lol
I accidently put supplementary so ignore that.​

Answers

Answer:

5. Vertical

6. 133°

Step-by-step explanation:

These are vertical angles; Vertical angles are congruent. Therefore, x = 133°.

1/4 divided by 3 I’m behind and I really just want to get this over with :) plus math is my least favorite subject thanks to my teacher so yeah plz help:)

Answers

Answer:

XD   [tex]\frac{1}{12}[/tex] is the answer.

Step-by-step explanation:

So, to divide a fraction with a whole number you'll have to multiply the denominator with the whole number.

Hopes This Helps

1.3 ½ days=______hrs.
2.2400 mm=_______meter
3.1 hr and 20 min.=______seconds
4.100 kilograms=______grams
5.104 °C =_______°F


Answers

1) 84 hours
2) 2.4 meters
3) 4800 seconds
4) 100000grams
5)219.2 Fahrenheit degrees

4b) Work out the mean and standard deviation of the following: picture included

Note: I ended up with the simultaneous equations, which are correct according to the markscheme BUT the answers I got upon solving them were incorrect.
μ = 170 + 1.6449σ
μ = 180 - 0.8416σ

What I got after solving these were:
μ = 169.5306859
σ = 12.44864932

But according to the markscheme, I should have gotten:
μ = 176.615...
σ = 4.021...

Can someone explain to me where I've gone wrong?

Answers

Answer:

Yes, your simultaneous equations are correct;

Solve them like so:

170 + 1.6449σ = 180 - 0.8416

2.4865σ = 10

σ = 4.0217...

μ = 170 + 1.6449(4.0217...)

μ = 176.615...

MS is correct, you must've made an error in solving or rearranging

Solve for x. 4 1/2 ≤ 1.2x
x ≥ 3 3/4
x≤3 3/4
x≥5 2/5
x≤5 2/5

Answers

Step-by-step explanation:

4 1/2 < 1.2x

4.5 < 1.2x

4.5/1.2 < x

3.75 < x

3 3/4 < x

Option 2 is the correct answer

Answer:

the second one x<3 3/4 is the answer

Is the relationship for Olivia’s puppy’s weight in terms of time linear or nonlinear? Explain your response.

Answers

Answer:

Olivia's puppy is linear i know this because after applying to the graph i got a straight line.

Step-by-step explanation:

Answer:

When looking at the table you can see that for every increase of 1 in the x value it results in an increase of 1 in the y value. The rate of change is constant.

Rate of change is calculated by the change in y/change in x

For the points (1,2), (3,3) and (5,4) the rate of change calculation would be as follows:

(1, 2)(3, 3)

3-2 / 3-1= 1/2

(3, 3)(5, 4)

4-3 / 5-3= 1/2

Since both equal 1/2 the rate of change is constant therefore making it linear.

Step-by-step explanation:

5. A quarter is tossed in the air 300 times.
About how many times would you expect the quarter to land on heads?
A 50
E 200
B 110
C 150
D 180

Answers

Answer:

C

Step-by-step explanation:

The probability of getting heads or tails is 50%.

300*50% = 150

Answer:

C. 150 times

Step-by-step explanation:

Because a coin only has tails and heads, you can say that the probability would be half. Because it was tossed 300 times, you can say: 300*0.5=150

I need the answers and explanation to a b c and d

Answers

Answer:

B I THINK

Step-by-step explanation:

extrano a mi sobrina, what does the underlined word mean

Answers

Answer:

I miss my niece

Step-by-step explanation:

it's the meaning of that hope U get it ...

a. How do you identify the boundary line?

Answers

Answer:

Find your property line by visiting your local county recorder or assessor's office. You can access public maps of your street and locate your boundaries. Many counties also let you access property lines online. If your property is on platted land, you may be able to access the plat maps online.

Step-by-step explanation:

The slope of the line that passes through the points ( 2 , 3 ) a n d ( 5 , 9 ) is?

Answers

The correct answer is going to be7

Need help ASAP! Solve for x. Problem in picture;)

Answers

What exactly is we supposed to do?

I'll answer it after u answer my question

Answer:

x=40

Step-by-step explanation:

46+57=103

180-103=77

180-162=18

180-58=122

122+18=140

140+x=180

x=40

Classify the triangle shown by its angles and sides. Select all that apply.​

Answers

Answer:

Step-by-step explanation: just get good at math

Pythagorean Thereom plz helppppppp

Answers

Answer:

5/4

Step-by-step explanation:

tan A = opp/adj

tan A = 5/4

Answer:

[tex]tan(A)=\frac{5}{4}[/tex]

Step-by-step explanation:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

[tex]tan(A)=\frac{5}{4}[/tex]

How do i find the answer

Answers

Answer:

  count them: 12

Step-by-step explanation:

All of the edges are shown in the figure. 9 are visible, and 3 are hidden, as indicated by their being a lighter gray (dotted). You can answer this question by counting the edges.

The total number of edges that a cuboid has is 12.

Solve for t. 3t - 18 = 4(-3-3/4t). t=

Answers

Answer:T=1

Step-by-step explanation:

Answer:

t = 1

Step-by-step explanation:

Which ordered pair is a solution to the line whose equation is 2y=-3x-2
A.(2, -3) C. (2, -4)
B. (-3, 2) D. (-4, 2)

Answers

Answer:

The solution would be C. (2, -4)

Step-by-step explanation:  Equation: 2y = -3x - 2

1. (2, -3)

  2(-3) = -3(2) - 2

  -6 = -6 - 2

  -6 = -8   (Not a solution)

2. (-3, 2)

   2(2) = -3(-3) - 2

   4 = 9 - 2

   4 = 7   (Not a solution)

3. (2, -4)

   2(-4) = -3(2) - 2

   -8 = -6 - 2

   -8 = -8   (Solution)

4. (-4, 2)

   2(2) = -4(-4) - 2

   4 = 12 - 2

   4 = 10   (Not a solution)

Solve for a.

a+(−1.2)=−5.5

Enter your answer in the box.

a =

Answers

Answer:

-4.3

Step-by-step explanation:

a+(-1.2)= -5.5

a-1.2=-5.5

add 1.2 to both sides

a-1.2+1.2= - 5.5+1.2

simplify

a= - 4.3

Answer:

a=-4.3

Why?:

You would have to keep the answer negative, this is because if it were to be positive it would make the negative decrease.

You could easily get a line paper and line up-

-4.3

+ -1.2

_______

-5.5

-5.5-(-1.2) would make the equation end up like -5.5+1.2, and -5.5+1.2=-4.3

Therefore,

a=-4.3

A car travels 32 miles for each gallon of gas. How many gallons of gas does it need to travel 192 miles?

Answers

You need 6 gallons of gas to travel 192 miles ..

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

(0,6)
(0,–6)
(6,0)
(–6,0)

Answers

Answer:

D: (-6,0)

Step-by-step explanation:

Set f(x) equal to 0 and solve for the values of x:

f(x) = (x+6)(x-3)

0 = (x+6)(x-3)

x+6=0 and x-3=0

x=-6 and x=3

Therefore, the x-intercepts are (-6,0) and (3,0). Because only (-6,0) is an option, then option D is correct.

Answer: (-6, 0)

Step-by-step explanation:

got it right on my test

Sara earned 100 points in the first round of a game. She earned 20 points in each of the following rounds of the game. She ended the game with 400 points. Write and solve an equation to find the number of rounds Sara played.​

Answers

20x=400-100

20x=300

x= 300/20

15 rounds she played

Simplify this expression
9xy ^4 x 3x^3y

Answers

Answer: 27x   by the power of 4 y  by the power of5

Step-by-step explanation:

Answer:

Refers to attachment

Step-by-step explanation:

What is the range of this graph?

Answers

Answer:

I think the answer is (-3,1)

(-3,1] is the correct one

10.) *
12
Sam ate 2/8 a pizza for dinner.
Then he ate 1/4 of the original pizza for lunch the next day. How much pizza is left
pizza for lunch the next day. How
much pizza is left

Answers

Answer:

4/8 (2/4)

Step-by-step explanation:

1/4 is 2/8

He ate 2/8 pizza for dinner

Then he ate 1/4 (2/8) the next day

So he has 4/8 (2/4) pizza left

Find two numbers whose sum is 36 and whose difference is 10.​

Answers

Answer:

23 & 13

Step-by-step explanation:

23+13=36

Answer:

x = 23

y = 13

Step-by-step explanation:

Let the number be x and y.

As given,

x + y = 36 ---(i)

x - y = 10 ---(ii)

Adding eq(i) and eq(ii) we get,

2x = 46

x = 23

Now putting the value of x in eq(ii)

23 - y = 10

y = 13

So the two numbers are 23 and 13.

D(3, 6), E(-4,-3), F(6, 1) and
D'(1, 6), E'(8, -3), F(-2, 1)

Answers

Answer:

d

Step-by-step explanation:

Select the expression NOT equivalent to 32 + 40x.

8(5x + 4)

(8 + 5x)4

4(4 + 10x) + 16

15x + 25x +2(16)

Answers

Answer:

dsadh

Step-by-step explanation:

Answer: (8+5x)4

Explanation: if u multiply it out you will get 8•4 + 5x•4 = 32+20x

Nolan began a savings account three years ago. He invested $100 at a 2% interest rate according to the equation Vn = 100(1.02)x, where Vn is the value of his account after x years. Anias started an account today. She invested $100 at a 2% interest rate according to the equation Va = 100(1.02)x–3, where Va is the value of her account. Let’s say Anias started saving at the same time Nolan did, three years ago. Approximately how much money would she have had to invest to have the same amount of money she has now?
$5.77
$90.24
$94.23
$106.12

Answers

Answer: 94.23

Step-by-step explanation:

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