Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot.
A) 10.4 feet by 7.4 feet
B) 11.1 feet by 8.1 feet
C) 13.4 feet by 10.4 feet
D) 14.1 feet by 11.1 feet

Answer:

y = -70

Step-by-step explanation:

    212 - y = 282

212 - 282 = y

         -70 = y

            y = -70

Answer:

24$ left

Step-by-step explanation:

40-16=24$

he has 24$ left for snacks

make me brainiest and hope this helps

Answer: 4 inches by 10 inches

Step-by-step explanation:

The area of a rectangle can be written as b*h, while perimeter is equal to (2b +2h).

A = b*h = 40

P = 2b + 2h = 28

P = 2b + 2h

28 = 2b + 2h

28 = 2(b+h)

14 = b + h

What two numbers add to 14 and multiply to 40?

4 * 10 = 40

4 + 10 = 14

Answer:

10 and 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The Standard Deviation is defined as

[tex]\sigma =\sqrt{\frac{\Sigma (x_{i} -\mu)^{2} }{N-1} }[/tex]

Where [tex]\sigma[/tex] is the standard deviation, [tex]\mu[/tex] is the mean and [tex]N[/tex] is the total number of data.

So, first, we need to find the mean of the data set.

[tex]\mu = \frac{10+11+12+10.5+11.25+12.25+10}{7} =11[/tex]

Now, we have to subtract each data with the mean to then elevate the differnece to the square power.

[tex]10-11 = -1 \implies (-1)^{2}=1\\ 11-11 = 0 \\12-11 = 1 \implies 1^{2}=1\\ 10.5-11 = -0.5 \implies (-0.5)^{2} =0.25\\11.25 - 11 = 0.25 \imples (1.25)^{2}=0.0625\\12.25 - 11 = 1.25 \implies (1.25)^{2}=1.5625\\10-11 = -1 \implies (-1)^{2}=1[/tex]

Then, we sum all these results.

[tex]\Sigma (x_{i}- \mu )^{2}=1+0+1+0.25+0.0625+1.5625+1=16.278[/tex]

Next, we divide the sum by [tex]N-1=7-1=6[/tex]

[tex]\frac{\Sigma (x_{i}-\mu )^{2} }{N-1}=\frac{16.278}{6} \approx 2.713[/tex]

Finally, we apply the square root.

[tex]\sigma = \sqrt{2.713} \approx 1.65[/tex]

Therefore, the standard deviation for the given data set is 1.65.

Answer:

Bella will pass Ajjan after 4h and they will have travelled 260 miles.

Step-by-step explanation:

In order to calculate the number of hours, "x", that it'll take for Bella to pass Aljan, we need to find the value of "x" that makes both equations equal. Therefore,

[tex]60*x + 20 = 65*x\\65*x - 60*x = 20\\5*x = 20\\x = \frac{20}{5} = 4[/tex]

In order to calculate the distance they traveled, we must use this value for "x" in any of the equations, as done below:

[tex]y = 65*4\\y = 260[/tex]

Bella will pass Ajjan after 4h and they will have travelled 260 miles.

Answer:

Bella will pass Ajjan after 4h and they will have travelled 260 miles.

Step-by-step explanation:

So the right answer is 3/10 cubic inches.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

250,000 to 700,000 parts

Step-by-step explanation:

For the lower ratio of 0.5, we have to get 0.5 flouride parts/1 gallon of water equivalent to (some fluoride parts)/ (500,000 gallons of water). we can multiply 500,000 by 0.5 to get 250,000 as our lower limit. Similarly, we can multiply 500,000 by 1.4 to get 700,000 as our upper limit

Answer:

1.768

Step-by-step explanation:

Answer:

1.77 ft^3

Step-by-step explanation:

V=4/3pi(3/4)^3

V=4*3^3pi/3*4^3

V=9pi/4^2

V=9pi/16

V=1.77

Answer:

c

Step-by-step explanation:

did the exam on edge and got 100

The slope is Negative two-fifths, and the y-intercept is Negative one-third. Hence, the correct option is A.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope of the linear function that is represented by the table,

Slope, m = [(-3/5) - (-13/30)]/[(2/3)-(1/4)]

= [(-18+13)/30] / [(8-3)/12]

= -(12/30)

= -(2/5)

The y-intercept of the linear function that is represented by the table can be found by substituting the coordinate of any one point in the equation of the line.

[tex]y = mx + c\\\\-(\dfrac{2}{15}) = -(\dfrac{2}{5})(-\dfrac12) + C\\\\-\dfrac{2}{15} = \dfrac15 + C\\C = -\dfrac5{15}\\\\C = -\dfrac13[/tex]

Hence, The slope is Negative two-fifths, and the y-intercept is Negative one-third. Hence, the correct option is A.

Learn more about Equation of Line:

https://brainly.com/question/21511618

#SPJ2

Answer:

1

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

C. -5

Step-by-step explanation:

14x and 6y both have variables attached to them

the most basic form for a function like this is ax+by+c

the definition of constant is a fixed value. the reason your constant has to be a solo number, not attached to a variable, is that these variables change the number!! so, -5, the only number that won't change in the function, is the constant.

Answer: They are all of the above.

Step-by-step explanation: A integer is a whole number, a whole number is a integer and a natural number is a whole number. The definition of a whole number is a number with no fractions, the definition of a integer is a number with no fractions, and the definition of a natural number is a positive number.

Answer:

[tex]\frac{23}{30}[/tex]

Step-by-step explanation:

let the denominator of the original fraction be x, then

[tex]\frac{x-7}{x}[/tex] ← is the original fraction

After the given changes, that is

[tex]\frac{3(x-7)}{x+16}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

6(x - 7) = 3(x + 16) ← distribute parenthesis on both sides

6x - 42 = 3x + 48 ( subtract 3x from both sides )

3x - 42 = 48 ( add 42 to both sides )

3x = 90 ( divide both sides by 3 )

x = 30

Thus

[tex]\frac{30-7}{30}[/tex] = [tex]\frac{23}{30}[/tex] ← the original rational number

Answer:

idk

Step-by-step explanation:

Answer:

i say 7/100

Step-by-step explanation:

if the 100 tickets is your total then its your denominator

the 7 is represents the tickets what are winners

Answer:

5

Step-by-step explanation:

7m - 2m = 5m

-5n - 3n = 8n ( just in case you need it (: )

Also, have a great day

Answer:

The answer should be 9in.

hope that helped.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

U = {1,2,3,4,5,6,7,8,9}

A = {1,2,3,4,5}

B = {5,6,7,8,9}

Step-by-step explanation:

Answer:

You must construct an angle bisector. The point where two angle bisectors meet is the center of the circle.

The correct answer is D. angle bisector.

Hope this helps =)

Answer: The first one is A. 16 + 10 +10 +10 +10  

The second one is 40  units^2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

When you get all the areas together, the answer is A. Sorry i was late to help

Answer:

160 square units

Step-by-step explanation:

We need to find the surface area of this figure, which is basically the areas of all the exterior sides.

Looking at the pyramid, we notice that we have 4 congruent triangles and 1 square.

Triangles:

The area of a triangle is denoted as A = (1/2) * b * h, where b is the base and h is the height. Here, the base is 8, so b = 8, and the height is 6, so h = 6. Plug these values in to get the area of one triangle:

A = (1/2) * b * h

A = (1/2) * 8 * 6 = (1/2) * 48 = 24

The area of one triangle is 24 square units, so the area of 4 is 24 * 4 = 96 square units.

Square:

The area of a square is denoted by: A = s * s = s². Here, s = 8, so plug that in:

A = s²

A = 8² = 8 * 8 = 64

The area of the square is 64 square units.

Now add up the areas of the triangles and square:

96 + 64 = 160 square units

The surface area is 160 square units.

Answer:

160

Step-by-step explanation:

Surface area = 4 triangles + square

4(½ × 6 × 8) + 8²

96 + 64

160 units²

Answer:

[tex]4(x-4.5)^2+60.75[/tex]

Step-by-step explanation:

[tex]h(x)=4x^2-36x+81\\\\h(x)=4(x^2-9x+20.25)+60.75\\\\h(x)=4(x-4.5)^2+60.75[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Use the formula  

b/2^2

Answer: 4( x- 9/2)^2 + 0

Answer:

204inches i think

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

edge

Answer:5 and 7 left

Step-by-step explanation:

Answer:

Each person would get 5 cards, withe 7 left over.

Step-by-step explanation:

This is because 52/9 is 5.7777. So then you would multiply 9 by 5 and get 45. You finally do 52-45 and get the 7 leftovers.

Answer:

f(a) = 1,5

Step-by-step explanation:

-3a + 6b = a + 4b

[+3a] [+3a]

6b = 3a + 4b

[-4b] [-4b]

2b = 3a

[÷2] [÷2]

b = 1,5a

Answer:

a) 60%

b) 55%

Step-by-step explanation:

a) Count the shaded boxes: 6

Count the total: 10

6 / 10 = 60%

b) Count the shaded boxes: 11

Count the total: 20

11 / 20 = 55%

Answer:

Hey!

a) 60%

b) 55%

Step-by-step explanation:

how do you get a??

we have to c ount the shaded boxes: 6 boxes

6 divided by 10 = 0.6 (multiply by 100 to get 60%)

Now...

We have to count the shaded boxes: 11 boxes in total

Count the total available boxes: 20

11 divided by20 = 0.55 (multiply by 100 to get 55%)

HOPE THIS HELPS!!

Answer:

65x+91y+104

Step-by-step explanation:

13(5x + 7y + 8)​

Distribute

12*5x +13*7y+13*8

65x+91y+104

Answer:65x+91y+104

Step-by-step explanation:

(13)(5x+7y+8)

(13)(5x)(13)(7y)+(13)(8)

65x+91y+104

Hope this helps

Answer:There are many different answers :-)    but 100, 40, 40 is one

Step-by-step explanation:

There are quite a few answers, but you need to make sure 1 angle is greater than 90 degrees.  The remaining two angles should add up to less than 89 degrees and all 3 angles should total 180 degrees.

i.e. 100, 40, 40

Answer:

x ≤ 40

Step-by-step explanation:

Given

[tex]\frac{x}{-8}[/tex] ≥ - 5

Multiply both sides by - 8 to clear the fraction, reversing the symbol as a result of multiplying by a negative quantity.

x ≤ 40