Karen has a square rug that covers 76.5^{2} of her living room floor. Which measurement is closest to the side length of thes rug in feet?

Answer:

Area = 228 m²

Perimeter = 60 m

Step-by-step explanation:

The figure given shows a rectangle that has a cut triangular portion.

✔️Area of the figure = area of rectangle - area of the triangular cut portion

= L*W + ½*bh

Where,

L = 20 m

W = 12 m

b = 20 - (8 + 8) = 4 m

h = 6 m

Plug in the values

Area = 20*12 - ½*4*6

Area = 240 - 12

Area = 228 m²

✔️Perimeter = perimeter of rectangle - base of the triangular cut portion

= 2(L + W) - b

L = 20 m

W = 12 m

b = b = 20 - (8 + 8) = 4 m

Plug in the values

Perimeter = 2(20 + 12) - 4

= 2(32) - 4

= 64 - 4

Perimeter = 60 m

Answer:

Gotcha!

I will be letting Ms. Gilbert know about this..

Answer:

The measure of angle A is: 27

Step-by-step explanation:

The measure of an angle made by a circle and a chord is 1/2 the measure of the arc that it creates.

Answer:

D

Step-by-step explanation:

just trust me on this one

Answer:

y= -1/3x

Step-by-step explanation: use y=mx+b

m is the slope (rise over run)

x stays as x

b =  is the coordinate on the y-axis where the graph crosses the y-axis.

Answer:

195 sq. in.

Step-by-step explanation:

area = length * width

area = 15 in. * 13 in. = 195 sq. in.

Answer:

The zeros are x = -1 and x = 8

The vertex is (3.5, -20.25)

Step-by-step explanation:

When we have a quadratic equation like:

y = a*x^2 + b*x + c

The zeros of the function are the values of x such that:

a*x^2 + b*x + c = 0

And the solutions are given by the Bhaskara's equation, which is:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

And the vertex is at:

x = -b/2a

The y-value at the vertex is the function evaluated in that point.

In this case, we have the equation:

h(x) = x^2 - 7*x - 8

Then:

a = 1

b = -7

c= -8

Replacing these in the Bhaskara's equation we get:

[tex]x = \frac{-(-7) \pm \sqrt{(-7)^2-4*1*(-8)} }{2*1} = \frac{7 \pm 9 }{2}[/tex]

Then the two solutions are:

x = (7 - 9)/2 = -2/2 = -1   (this is the smaller one)

and

x = (7 + 9)/2 = 16/2 = 8  (this is the larger one)

And we will have the vertex at:

x = -(-7)/2*1 = 7/2 = 3.5

Evaluating h(x) in 3.5 we get:

h(3.5) = (3.5)^2 - 7*(3.5) - 8 = -20.25

Then the vertex is the point:

(3.5, -20.25)

Answer:

he swims 1/2 miles in 1/4 hours

multiply both them by 4

we get

2 miles in 1 hour

Answer:

203.28 miles

Step-by-step explanation:

Given data

charge per day= $45.95

charge per mile= 0.35

The expression for the total is

y= 45.95+0.35x

where x is the number of miles

We want to find the value of x when y= 117.10

substitute

117.10=45.95+0.35x

117.10-45.95=0.35x

71.15=0.35x

x= 71.15/0.35

x=203.28 miles

Answer:

13°

Step-by-step explanation:

The reason is because the sum of all the angles in a triangle add up to 180°, so to find the last angle you add 81°+86°=167°

Subtract: 180°-167°=13°

Hope this helped!

Stay safe and have a wonderful day/night!

Your friend Bella was here :)

Answer:oline

$650

$150

$130

Groceries

Car Insurance

590

Clothes

$80oline

$650

$150

$130

Groceries

Car Insurance

590

Clothes

$80

About what percent of Davon's monthly budget w

About what percent of Davon's monthly budget w

Step-by-step explanation:

oline

$650

$150

$130

Groceries

Car Insurance

590

Clothes

$80

About what percent of Davon's monthly budget w

Answer:

the one i got is 12%

Step-by-step explanation:

but im not sure if its correct

Answer: I would say that x = 10 degrees

Step-by-step explanation:

The angle has a square, meaning it is a right angle. Right angles are 90 degrees, and you're given 80 degrees + x.

90 - 80 = 10

Hope this helps!

Answer:

10 degrees

Step-by-step explanation:

First off complementary angles require the sum of both adjacent angles to equal 90 degrees. You are already given the degrees of one of the adjacent angles so all you need to do is a geometric proof. 90 = 80 + x and subtract 80 from each side to get 10 = x.

Answer:

x = 5, 2

Step-by-step explanation:

x^2 = 7x - 10

x^2 -7x + 10 = 0

(x - 2)(x - 5) = 0

x = 5, 2

Answer:

32 degrees

Step-by-step explanation:

114° - 82° = r°

=> r = 32°

Answer:

Step-by-step explanation:

Well I already explained in the comments and I am pretty sure you already answered the question but for the points :)

Good day!

Answer: 31.4 mm

Step-by-step explanation:

C=2πr

2(3.14)(5)

2(15.7)

31.4

Answer:

1.5m/sec is the answer

Step-by-step explanation:

54×1000m/60×60sec

54000m/3600sec

1.5m/sec

Answer:

15 m/s

Step-by-step explanation:

54 ÷ 3.6 = 15 m/s

Step-by-step explanation:

8.Solution:

x+35=90(adjacent)

x=90-35

x=55

9.Solution:

x=128(vertical)

10.Solution:

x+117=180(adjacent)

x=180-117

x=63

11.Solution:

75=4x-25(vertical)

75+25=4x

100/4=x

x=25

12.Solution:

4x+2x=90(adjacent)

6x=90

x=90/6

x=15

13.Solution:

7x+x+20=180(adjacent)

8x=180-20

x=170/8

x=21.25

Answer:

56

Step-by-step explanation:

Answer:

18x + 3y

Step-by-step explanation:

23x - 5x combine to 18x.  

Then the given expression becomes 18x + 3y.

Answer:

18x+3y

Step-by-step explanation:

Answer:

$8000

Step-by-step explanation:

Given: Car worth = $9,500, car loan = $7,400. Student loan = $6,000, savings account = $1500. The balance on her credit card is $3200.

Formula: Total Assets - Total Liabilities - Intangible Assets = Tangible Net Worth.

To find: Gale's net worth

Solution: You can calculate your net worth by subtracting your liabilities (debts) from your assets.

Firstly, calculate the total amount of assets by adding them together;

Total assets = Car worth + car loan + Student loan + savings account + balance on her credit card =

$9,500 + $7,400 + $6,000 + $3200 =$26,100

Secondly, calculate the Liabilties by adding them together;

Car loan + Student loan =

$7,400 + $6,000 = $13,400

Then, calculate the Intangible Assets by adding them together;

Savings account +  The balance on her credit card =

$1500 + $3200 = $4700

Finally substact the total amounts;

$26,100 - $13,400 - $4700 = $8000

(Note:- If your assets exceed your liabilities, you will have a positive net worth. Conversely, if your liabilities are greater than your assets, you will have a negative net worth.)

Answer:i would say 1

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

the point H is (-3, 2) which fits the requirements

Answer:

44

Step-by-step explanation:

1/2×2=1

22×2=44

The car is going 44 miles in 1 hour

Answer:

If you had 32 questions and got a grade of 75% then you would have gotten 8 questions wrong and 24 correct anwsers.

Answer:

Hi there, $4.04 should be his finance charge.

Step-by-step explanation:

Answer:

28t-140y

step by step explanation:

[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]

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

[tex]\textsf{We're asked to expand the expression using the distributive property.}[/tex]

[tex]\textsf{But we need to be familiar with it first. \quad This is what it states :}[/tex]

[tex]\textsf{a(b+c)=ab+ac}[/tex]

[tex]\textsf{Now we simplify. \quad 14(2t-10y)=14*2t-14*10y=28t-140y}[/tex]

[tex]\textsf{\textbf{Answer: 28t-140y}}[/tex]

[tex]\Large\overbrace{\underbrace{\boldsymbol{Reflection - RoSe}}}^\star_\star[/tex]

Answer:

6

Step-by-step explanation:

m《 Q+ m《R +m《S =180 (Angles of a triangle add up to 180 degrees )

8x-17 +19x +4 +5x+1=180

32x-12=180

32x =180+12

32x =192

32X /32=192 /32

x=6

substitute x to angle Q, R and S

mQ=8 (6)-17

=31

mR=19 (6)+4

=118

mS=5 (6)+1

=31