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The Cosmic Pool company is building a pool in Mary’s back yard. The pool is to be 8ft longer than it is wide and cover 240 square feet of the back yard. Determine both dimensions of the pool and the perimeter.
Group of answer choices

(A) Dimensions: width = 20ft & length = 12ft
Perimeter: 32ft

(B) Dimensions: width = 20ft & length = 12ft
Perimeter: 64ft

(C) Dimensions: width = 12ft & length = 20ft
Perimeter: 32ft

(D) Dimensions: width = 12ft & length = 20ft
Perimeter: 64ft

Answer:

No, the mayor cannot conclude that 90% of residents favor the expansion.

Step-by-step explanation:

The sample taken is from the employees that will work on the highway, but we need to know the resident's opinion. The workers will have a different opinion than the average person, so this is not an accurate conclusion.

Answer: Trapezoid

Step-by-step explanation:

Answer:

54√2

Step-by-step explanation:

6√3 × 3√6 =

( 6 × 3 ) × [tex]\sqrt{3*6}[/tex] =

18√18 = 18√(2×9) =

18 ( √2 × √9 ) =

(18 × 3)√2 = 54√2

The product of 6 square root 3 and 3 square root 6 in the simplest radical form will be 54 square root 2.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that the two terms are 6√3  and 3√6.

We have to find the product of the given terms,

Radical notation is the term for an expression that employs a root, such as the square or cube root.

=6√3 × 3√6

=( 6 × 3 )√( 6 × 3 )

=18√18

= 18√(2×9)

=18 ( √2 × √9 )

=(18 × 3)√2

= 54√2

54√2 is the term shown in the radical form.

Thus, the product of 6 square root 3 and 3 square root 6 in the simplest radical form will be square root 54.

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Answer:

[tex]\sf -11+7\sqrt{2}[/tex]

Step-by-step explanation:

Given expression:

[tex]\sf \dfrac{3-\sqrt{32}}{1+\sqrt{2} }[/tex]

Rewrite 32 as 16 · 2:

[tex]\sf \implies \dfrac{3-\sqrt{16 \cdot 2}}{1+\sqrt{2} }[/tex]

Apply radical rule [tex]\sf \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]

[tex]\sf \implies \dfrac{3-\sqrt{16}\sqrt{2}}{1+\sqrt{2} }[/tex]

As [tex]\sf \sqrt{16}=4[/tex]:

[tex]\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} }[/tex]

Multiply by the conjugate:

[tex]\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} } \times \dfrac{1-\sqrt{2} }{1-\sqrt{2} }[/tex]

[tex]\sf \implies \dfrac{(3-4\sqrt{2})(1-\sqrt{2})}{(1+\sqrt{2})(1-\sqrt{2})}[/tex]

[tex]\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4\sqrt{2}\sqrt{2}}{1-\sqrt{2}+\sqrt{2}-\sqrt{2}\sqrt{2}}[/tex]

As [tex]\sf \sqrt{2}\sqrt{2}=\sqrt{4}=2[/tex]:

[tex]\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4 \cdot 2}{1-\sqrt{2}+\sqrt{2}-2}[/tex]

[tex]\sf \implies \dfrac{3-7\sqrt{2}+8}{1-2}[/tex]

[tex]\sf \implies \dfrac{11-7\sqrt{2}}{-1}[/tex]

[tex]\sf \implies -11+7\sqrt{2}[/tex]

Answer:

They are increasing at the same rate.

Answer:

42 ft²

Step-by-step explanation:

→ State the area of the formula of rectangle

Length × Width

→ Substitute in the numbers

14 × 3 = 42 ft²

Answer:

42 sq ft

Step-by-step explanation:

L*W=A
14*3=42

Answer:

8minutes

Step-by-step explanation:

30×60=180

180+28=208

26miles=208minutes

1mile=¿

=8minutes

Answer:

m(C)<m(B)<m(A).

Step-by-step explanation:

1) according to the condition the shortest side is AB, the longest side is BC, the middle is AC. Then

2) the smallest angle is BCA (or C), the middle angle is ABC (or B), the largest angle is BAC (or A).

The list of the angles from smallest to largest are C, B and A.

Given that a triangle has side measurements represented in terms of the variable m, where m > 6.

AB = m - 2

BC = m + 4

AC = m

We need to list the angles from smallest to largest.

Since none of the sides are equal, therefore it is a scalene triangle.

Let us consider m = 6.

Then,

AB = m - 2

AB = 6 - 2

AB = 4

BC = m + 4

BC = 6+4

BC = 10

AC = m

AC = 6

It means that the longest side is BC, the medium side is AC and the shortest side is AB.

We know that the longest side of a triangle corresponds to the largest angle and vise versa.

Therefore,

The smallest angle is angle C.

The medium angle is angle B.

The largest angle is angle A

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Answer:

yessir

Step-by-step explanation:

Answer:

Step-by-step explanation:

===========================================================

Explanation:

The figure is an unfolded version of a pyramid, so it's placed as flat as possible.

The square in the middle has area of 7*7 = 49 square meters. This is the base or floor of the pyramid.

Each triangle has area of base*height/2 = 7*5/2 = 35/2 = 17.5 square meters. Four such identical triangles combine to an area of 4*17.5 = 70 square meters. This is the lateral surface area, which is everything but the base.

So the total surface area is

BaseArea + LateralSurfaceArea = 49+70 = 119 square meters

Answer:

x = sqroot(122)

Step-by-step explanation:

First find the line that goes thru the middle of the shape. It is the hypotenuse of the bottom/left triangle. Use the pythagorean thm.

9^2 + 5^2 = h^2

81 + 25 = h^2

sqroot106 = h

Now sqroot106 is a leg in the right triangle that is on the top/right in the image.

Use pythagorean thm again.

4^2 + (sqroot106)^2

= x^2

16 + 106 = x^2

122 = x^2

sqroot122 = x

Answer:

The total number of caramel apples are covered with sprinkles is 20 and this can be determined by using the arithmetic operations.

Step-by-step explanation:

Given :

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping.

1/5 of the caramel apples are covered with peanuts.

1/3 of the caramel apples are covered with chocolate chips.

3/10 of the caramel apples are covered with coconut. The rest are covered with sprinkles.

The following steps can be used in order to determine the total number of caramel apples are covered with sprinkles:

Step 1 - The arithmetic operations can be used in order to determine the total number of caramel apples are covered with sprinkles.

Step 2 - Let 'n' be the number of caramel apples are covered with sprinkles.

Step 3 - So, the value of 'n' is calculated as:

Step 4 - Simplify the above equation.

120 = 24 + 40 + 36 + n

n = 20

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Answer:

There are 20 caramel apples that are covered with sprinkles.

Step-by-step explanation:

First we should make all of these have a common denominator. We could make these be 1/5 = 6/30, 1/3 = 10/30, 3/10 = 9/30. Now we can add them all up. 6 + 10 + 9 = 25/30. Now, to figure out how many apples is 1/30. 120 divided by 30 = 4. Now we can do 4x25 because that's how many non sprinkle apples there are. This is 100. 120 - 100 = 20. You could have also done 4x5 because there were 5/30 sprinkle apples, and gotten the same answer.

       so, there are 20 caramel apples that are covered with sprinkles.

{hope I helped you.]

Answer:  $19.50

Step-by-step explanation:

Answer:

? = 13.6

Step-by-step explanation:

the angle between a tangent and the diameter = 90°

Then the triangle is right with legs 2 × 6 = 12 and 6.4

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the legs , that is

? ² = 12² + 6.4² = 144 + 40.96 = 184.96 ( take square root of both sides )

? = [tex]\sqrt{184.96}[/tex] = 13.6

Hope it helps.

Do comment if you have any query.

Let's start off with  1. 3/10 * 5/7

3/10×5/7=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

(3×5) / (10×7) = 15 / 70

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 70 using

GCF(15,70) = 5

(15÷5)/ (70÷5)=3/14

Therefore:

3/10×57=3/14

Now, #2. 7/10 * 2/4- We do the same process.

7/10×2/4=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

(7×2) / (10×4)=1440

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 40 using

GCF(14,40) = 2

(14÷2) / (40÷2) = 7/20

Therefore:

7/10×2/4=7/20

Hope this helps!

Answer:

#1 -6

#2 14

Step-by-step explanation:

#1 You would put 5x and then you would subtract it by 3 then you multiply it by 3×2 and your answer will be -6

#2 You would add 2 add 7 add 8 and then you would subtract 1 and subtract 2.and your answer 14

Answer:

13.5 dollars per hour

Step-by-step explanation:

216 divided by 16 is 13.5

Answer:

13.5

Step-by-step explanation:

All you have to do is divide $216 by 16

Answer:

ab/3

Step-by-step explanation:

I don't really know how to explain.

Μα†hway

hope this helps!

Answer:

180 degrees.

Step-by-step explanation:

360 degrees is a full circle, so half of it is 180 degrees.

Answer:

  c = 2√3 ≈ 3.464

Step-by-step explanation:

A 30°-60°-90° triangle is a "special" triangle that has sides in the ratios ...

  1 : √3 : 2 . . . . . shortest to longest.

Comparing those to the side measures you have, we see ...

  1 : √3 : 2 = b : 3 : c

Multiplying the basic ratios by √3 gives a value that matches the long side:

  √3 : 3 : 2√3 = b : 3 : c

Then the value of c is 2√3 ≈ 3.464.

_____

Additional comment

Side length b is √3 ≈ 1.732.

Step-by-step explanation:

A is adjacent angles

B is supplementary

C is 180 - 131 = 49°

Answer:

false false false true true

Step-by-step explanation:

you got the first four wrong.

Answer:

a. False

b. False

c. False

d. True

e. True

Step-by-step explanation:

If n= 4 then

a. (7*4)^2 ≠ 7^8

b. (-5)^3 × (-5)^4 ≠ (-5)^12 when multiplying numbers together the exponents are added

c. 19^4/19 ≠ 19^4

d. (3*4)^2 = 144 which is 144 = 144

e. (-2/5)^2 = 4/25 which is 4/25 = 4/25 this true because a negative number multiplied by a negative number becomes a positive

I plugged each equation into a calculator and it gave me these answers

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer: 7

Step-by-step explanation:

One of the strategies that would eliminate a variable in the system of equations is by subtracting both equations to eliminate the variable "x"

System of equations consists of a different set of equations with unknown variables.

Given the system of equations

2x+3y=-5

2x-3y=10

Since the coefficient of x from both equations are the same, we will subtract both equations to eliminate the variable "x"

(2x-2x)+(3y+3y) = -5 + 10
6y  = 5

Hence we can conclude that one of the strategies that would eliminate a variable in the system of equations is by subtracting both equations to eliminate the variable "x"

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Answer:

B

Step-by-step explanation:

6 divided by 10 = 0.6

0.6 = 6/10

6/10 = 3/5