One side of a rectangle is 5 feet longer than the other side. The diagonal of the rectangle is a side of a square. The area of the part of the square that doesn't overlap with the rectangle is 61 square feet. Find the lengths of the sides of the rectangle

Answer:

60 ft

Step-by-step explanation:

(x+13) = (3x-1) = (6x-22) since the triangle is equaililateral

(x+13) = (3x-1) (we only need to chose 2)

-2x=-14

x=7

after this, we just need to plug in the number for x

3(7)-1= 20--->since the triangle has 3 congruent sides, they all have the distance, so 20x3=60

60FT

Answer:

you do not have enough information to determine

Answer:

If the left column is the width then the length is 45

If the right column is width then the length is 7.2

Step-by-step explanation:

ratios

Answer:

if i remember from last year..

Step-by-step explanation:

Its B. Radius** i think you misspelled it

Answer:

1 place to the left

Step-by-step explanation:

im pretty sure

Answer:

15 guests were not relative.

Step-by-step explanation:

It is given that,

At your birthday, 3/8 of the 24 guests were relatives.

No of relatives,

[tex]=\dfrac{3}{8}\times 24\\\\=9[/tex]

So, there are 9 relative at the party.

No of guests that are not relative,

= 24 - 9

= 15

Hence, 15 guests were not relative.

Answer:

part 1: Jessica saved 100, Raphael saved 88

part 2: The rate at which Jessica is adding to her savings each week is $4 more than the rate at which Raphael is adding to his savings each week.

Step-by-step explanation:

First figure out how much money Jessica saved at the end of week 8, compared to Raphael.

Use x =8

y = 10*8 + 20 = 100

For Raphael it is shown in the table as 88.

Next figure out the rate Raphael saves. We can find the slope usng (y2-y1) / (x2-x1).

Using the table lets use (0,40) and (1,46)

46-40 / 1-0 = 6/1 = 6

So Raphael saves $6 each week. This is $4 less than what Jessica saves each week since the slope for her equation is 10 or $10 each week.

please give thanks :)

and brainliest, much appreciated

Answer:

Step-by-step explanation:

10 each weekkkkkkkkkk

Answer:

echo

Step-by-step explanation:

Answer:

1. Loss of freedom

2. Economic loss

3. Layout

Step-by-step explanation:

Answers are numbered for each one

Answer:

1. Loss of freedom

2. Economic loss

3. Layout

Step-by-step explanation:

I just took the quiz

Answer:

In-State = 189

Out-of State = 54

Step-by-step explanation:

In-State = 7

Out-of State = 2

In-State

7/9 = x/243

= 189

Out-of State

2/9 = x/243

= 54

Answer:

8 miles per hour

Step-by-step explanation:

First find the slope. The slope is the unit rate/constant of proportionality.

To find slope use the points given and formula y2-y1 / x2-x1

(32-16) / (4-2)

= 16 / 2

= 8

Thus the unit rate is 8 miles per hour.

please give thanks, hit the heart button! :)

Answer:

I just want the points please

Step-by-step explanation:

the answer is 10029481

Step-by-step explanation:

tanA = Opposite / Adjacent = 6/8 = 0.75 (D).

Answer:

D. 0.75 or 3/4

Step-by-step explanation:

tan A = opposite over adjacent

tan A = 6/8

= 3/4

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Answer:

Please check the explanation.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the slope or rate of change and b is the y-intercept

An equipment rental company charges $40 per day to rent a trench digger.

It means the rate of change = $40 per day

We know that the rate of change is also termed as the slope.

Thus,

m = 40

Given that a construction crew rented a trench digger for 6 days and paid 270.

It means at x = 6, y = 270

substituting (x, y) = (6, 270) and m = 40 in the slope-intercept form to determine the y-intercept 'b'

y = mx+b

270 = 40(6) + b

270 = 240 + b

b = 270 - 240

b = 30

Thus, the y-intercepy b = 30

Now, substituting m = 40 and b = 30 in the slope-intercept form

y = mx + b

y = 40x + 30

Thus, the equation of line in the slope-intercept form is

y = 40x + 30

VERIFICATION:

Put x = 6, in the equation to determine the total cost for 6 days

y = 40x + 30

y = 40(6) + 30

y = 240 + 30

y = $270

Thus, the total cost for days rent = $270

Therefore, x must be equal to 6 i.e. x = 6 to find the total cost i.e. y = 270.

Answer:

65

Step-by-step explanation:

The computation of the number of candies left in the bag is as follows:

Let us assume the cherry candies be c ;

And, grape candies be g

Now the ratio between them is 3:5

And, in the case when half of the candies are eaten and one cherry is also eaten so the ratio is

 (c - 1) ÷ (g ÷ 2) = 7 ÷ 6

After subsitution

It would be

(3 ÷ 5g - 1) ÷ (g ÷ 2) = 7 ÷ 6

Now after solving it,

g = 60

And, the c = 35

As the candies are half so it would be 30 now

So, the number of candies together is

= 35 + 30

= 65

Answer:

3.1*10^10

Step-by-step explanation:

31 billion would be written like that because... there are 9 0's left, and that goes up to 10 because i turned 31 to 3.1 not 31, so that value after a decimal point adds 1

Answer:

6

Step-by-step explanation:

Answer:

The speed on motorboat is 20 mph

Step-by-step explanation:

here, we want to find the speed on the motorboat

if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph

The total hours is 4 hours

Mathematically; speed = distance/time

Time on ski is 27/x+ 10

Time on motor boat is 62/x

The addition of both is 4

Thus;

27/(x + 10) + 62/x = 4

27(x) + 62(x + 10) = 4(x)(x + 10)

27x + 62x + 620 = 4(x^2 + 10x)

89x + 620 = 4x^2 + 40x

4x^2 -49x-620 = 0

using the quadratic formula;

{-b ± √(b^2-4ac)}/2a

where a = 4, b = -49 and c = -620

= 49 ± √(-49)^2-4(4)(-620)/8

So we have

49+ 111/8 or 49-111/8

Speed cannot be negative

(49 + 111)/8

= 20 mph

Answer:

On it's Axis and it moves around the sun

Step-by-step explanation:

Answer:

6.164

Step-by-step explanation:

Answer:

the full answer is 17.92, so that would round up to 18

Step-by-step explanation:

:)

Answer:

i think 126 different bowls

correct me if im wrong

Answer: -75

Step-by-step explanation:

Answer:

52 degrees

right triangle

Step-by-step explanation:

Answer:

42°

Step-by-step explanation:

The given triangle is a right triangle since the sum of interior angles in a triangle is equal to 180° and two of the angles' measurements are known then the third angle must be 42°

Answer:

0.0560042

Step-by-step explanation:

A) The distance between -5 and 0 is a Positive 5 because it takes 5 positive spots to go from -5 to 0.

B) The Absolute Value of -5 is 5. (Absolute Value means the distance from that number from zero) Is takes 5 spots to get to -5.

I hope this helps, and Happy Holidays! :)

Answer:

1) 5 units

2) 5

Step-by-step explanation:

absolute value is basiclly the opposite for example 4 would be -4 and -7 would be 7

also if it has lines like this: |2| it stays as it is so |3| is still 3 and |-5| is still 5

hope this helps :)