The area of a square ice rink is 404 square yards. To the nearest yard,what is the perimeter of the rink.

QUESTION POSTED AT 05/12/2019 - 05:10 PM

Answered by admin AT 05/12/2019 - 05:10 PM

The perimeter of the square is 80 yards 
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Dpoiski2 Find the perimeter of a rectangle with l = 0.85 m and w = 0.4 m. A. 1.25 m B. 2.5 m C. 0.34 m D. 0.68 m Unsubscribe

For this question the answer is 2.5m (B)
You find this by: L=0.85m
W=0.4m

A rectangle had 4 sides (2 lengths and 2 widths)
So...
To find 1 length and 1 Width you do 0.85+0.4=1.25m
Now you want to find the other 2 sides (L and W)
You can do: the same method and add it to 1.25m OR...
You can do (I prefer this one): (0.85+0.4)x2=?
This is the same as 0.85+0.4=1.25
1.25x2=2.5m

ANSWERED AT 18/01/2020 - 07:41 AM


QUESTION POSTED AT 18/01/2020 - 07:41 AM

The city wants to build a football field. Each wheelbarrow full of dirt covers an area of 10x squared. Determine how many wheelbarrows full of dirt they need for the field below. One side of the rectangle is just 5x squared. The other side is 10x square plus 90x.

As this is a unitless problem, let us try to deal with it as if it does have units. Since we are already given the length and width of a rectangle, we can solve for the area by multiplying. After getting the area, we divide this by the area a wheelbarrow can cover to obtain the expression for how many wheelbarrows we need.

Rectangle length = 10x^2 + 90x
Rectangle width = 5x^2
Rectangle area = length * width = 5x^2(10x^2 + 90x)

Rectangle area = 50x^4 + 450x^2

Dividing:

          _5x^2_+_45____10x^2|50x^4 + 450x^2           50x^4          --------                        450x^2                        450x^2                         ---------                                  0

Therefore, the expression for how many wheelbarrows are to be used is 5x^2 + 45 wheelbarrows.

ANSWERED AT 18/01/2020 - 07:33 AM


QUESTION POSTED AT 18/01/2020 - 07:33 AM

2.) What value for c will make the expression a perfect square trinomial? x2 – 7x + c -49/4 -7/2 7/2 49/4

Answer :  \frac{49}{4}

Given expression is   x^2 - 7x + c

To make perfect square trinominal we use completing the square method

In completing the square method we add and subtract the half of square of coefficient of middle term

Here coefficient of middle term is -7

Half of -7 is  \frac{-7}{2}

Square of  \frac{-7}{2}  is  (\frac{-7}{2})^2  =  \frac{49}{4}

So the expression becomes   x^2 - 7x +  [tex] \frac{49}{4}  that gives perfect square trinomial

Hence , the value of 'c' is  \frac{49}{4}


ANSWERED AT 18/01/2020 - 07:30 AM


QUESTION POSTED AT 18/01/2020 - 07:30 AM

Susan intends to cut a piece of ribbon 16 1/2 yards long into several pieces, each 1/4 yard long. How many pieces can she cut? 16 pieces 32 pieces 66 pieces 80 pieces

Answer:

66 pieces.

Step-by-step explanation:

first I'm going to convert the mixed number in a rational number.

16\frac{1}{2} = \frac{16*2+1}{2} = \frac{32+1}{2} =\frac{33}{2}.

Susan wants to cut the pieces of 1/4 yard long. We have the following formula

long of each piece = total long ÷ number of pieces

number of pieces = total long ÷ long of each piece.

Then, we replace the data in the second formula

x= \frac{\frac{33}{2}}{\frac{1}{4}} = \frac{33*4}{2*1} = \frac{132}{2} = 66.

Then, she can cut 66 pieces.

ANSWERED AT 18/01/2020 - 07:29 AM


QUESTION POSTED AT 18/01/2020 - 07:29 AM

Between which two integers does square root of 178 lie? A. 13 and 14 B. 17 and 18 C. 88 and 90 D. 177 and 179

A.13 and 14 because 13 squared is 169 and 14 squared is 196.

ANSWERED AT 18/01/2020 - 07:27 AM


QUESTION POSTED AT 18/01/2020 - 07:27 AM

Based on the graph below, what is the total number of solutions to the equation f(x) = g(x)? graph of function f of x equals negative 11 by 3 multiplied by x plus 11 by 3 and graph of function g of x equals x cubed plus 2 multiplied by x squared minus x minus 2 One Two Three Four

Answer:

The total number of solutions is one

Step-by-step explanation:

we have

f(x)=-\frac{11}{3}x+ \frac{11}{3}

g(x)=x^{3}+2x^{2}-x-2

To solve the system of equations equate f(x) and g(x)

f(x)=g(x)

The solution of the system of equations is the intersection points both graphs

Using a graphing tool

see the attached figure

The solution of x

x=1

There is only one point of intersection both graphs

therefore

The total number of solutions is one


ANSWERED AT 18/01/2020 - 07:23 AM


QUESTION POSTED AT 18/01/2020 - 07:23 AM

Find the perimeter of a rectangular swimming pool that measures 12 feet by 22 feet.

The perimeter is 78ft. You do 12 times 2 plus 22 time 2 because a rectangle has 2 sets of equal sides.

ANSWERED AT 18/01/2020 - 07:18 AM


QUESTION POSTED AT 18/01/2020 - 07:18 AM

For a rectangular prism, if the base length was shrunk by a factor of two-thirds, the width was quadrupled, and height was cut in half, how would the changes affect the surface area formula?

The surface area of a rectangular prism is this:
SA = LW + LH + LH

Here are the changes:
L --> (2/3)L
W --> 4W
H --> H/2

So, the new surface area is:
SA' = (2/3)L (4W) + (2/3)L (H/2) + 4W (H/2)
SA' = (8/3) LW + (1/3) LH + 2 WH

ANSWERED AT 18/01/2020 - 07:16 AM


QUESTION POSTED AT 18/01/2020 - 07:16 AM

Which equation can be used to find the perimeter of a regular octagon with sides of length 12 m? A. P = 8 + 12 B. P = 8(12) C. P = 12 ÷ 8 D. P = 2(8) + 2(12)

The basic definition of a perimeter is the boundary line of an object. For shapes and figures, this is basically the sum of the outermost sides that define the object. Since an octagon has eight sides, with each side measuring 12m, the perimeter can be obtained by multiplying 12 m by 8 sides, or in equation form:

P = 8(12)

Among the choices, this is letter B.

ANSWERED AT 18/01/2020 - 07:14 AM


QUESTION POSTED AT 18/01/2020 - 07:14 AM

The angle of depression from the basketball hoop to Claire’s eyes is 9.2°. The vertical distance from the ground to Claire’s eyes is 5.6 feet. Using the diagram, find the height of the basketball hoop to the nearest tenth.

we will isolate that right triangle marked off with the little angle thing.
We know that, in that right triangle, one of the legs measures 22 ft, and the angle (adjacent) to it, meausres 9.2 degreesIn this case, tan9.2=x/22 where x is that unkown length
cross multiply.
your final answer is equal to x+5.6

ANSWERED AT 18/01/2020 - 07:13 AM


QUESTION POSTED AT 18/01/2020 - 07:13 AM

Three sides of a quadrilateral measure 2.5 centimeters, 1.8 centimeters, and 9 centimeters. If the perimeter of the quadrilateral is 20.9 centimeters, what is the length of the fourth side? 34.2 cm 15.7 cm 7.6 cm 7 cm

Answer:

Option (c) 7.6 cm is the correct answer

Step-by-step explanation:

Three sides of a quadrilateral measure 2.5 cm, 1.8 cm, and 9 cm.

Perimeter of the quadrilateral  is 29.9 cm

Then we have to find the length of 4th side.

Since perimeter of any quadrilateral = sum of all four sides

so by using this formula

20.9 = 13.3 + x

x = 20.9 - 13.3

x = 7.6 cm

Option (c) 7.6 cm is the correct answer

ANSWERED AT 18/01/2020 - 07:13 AM


QUESTION POSTED AT 18/01/2020 - 07:13 AM

Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet. 6 feet 16 feet 12 feet 4 feet

The height is 12 feet. The formula for volume for a pyramid is V=1/3Bh. *the big "b" means you have to find the area of the base=4. 8=1/3×2×h -- ----------- 2 2 (3) 4=1/3×h (3) 12=h

ANSWERED AT 18/01/2020 - 07:11 AM


QUESTION POSTED AT 18/01/2020 - 07:11 AM

Which products result in a perfect square trinomial? Check all that apply. A=(–x + 9)(–x – 9) B=(xy + x)(xy + x) C=(2x – 3)(–3 + 2x) D=(16 – x2)(x2 – 16) E=(4y2 + 25)(25 + 4y2)

The correct answers are:

B=(xy + x)(xy + x) ; C=(2x – 3)(–3 + 2x) ; and E=(4y² + 25)(25 + 4y²)

Explanation:

In order to have a perfect square trinomial, we must multiply two binomials that are exactly the same.  For (xy+x)(xy+x), are multiplying two identical binomials.

For (2x-3)(-3+2x), we are multiplying two binomials that are the same but written in a different order.  The same is true of (4y² + 25)(25 + 4y²).

ANSWERED AT 18/01/2020 - 07:11 AM


QUESTION POSTED AT 18/01/2020 - 07:11 AM

What is 3.21 rounded to the nearest tenth ?

3.2
...........
............
:)

ANSWERED AT 18/01/2020 - 07:10 AM


QUESTION POSTED AT 18/01/2020 - 07:10 AM

What is the perimeter of a rectangle with a width of 23.6 cm and a length of 52.9 cm? A. 76.5 cm B. 100.1 cm C. 153 cm D. 180 cm

C because 23.6 times two is 47.4 and 52.9 times two is 105.8, add those two together to get c

ANSWERED AT 18/01/2020 - 07:04 AM


QUESTION POSTED AT 18/01/2020 - 07:04 AM

Rewrite 12/17 as a decimal number. Round to the nearest thousandth. 1.416 0.705 0.706 1.417

Let's rewrite the given fraction 12/17 to a  decimal number. Then Let's round to the nearest thousandth.
To do that, divide the numerator by the denominator.
=> 12 / 17
=> 0.7058
Le's round this to
=>0.706

ANSWERED AT 18/01/2020 - 07:04 AM


QUESTION POSTED AT 18/01/2020 - 07:04 AM

Express each ratio as a fraction in simplest form. 2 yards to 45 feet a. 2/135 b. 135/2 c. 2/15 d. 8/45

Express each ratio as a fraction in simplest form.2 yards to 45 feet
First, let's convert feet to yard to get the answer
=> 2 yard = x yard
=> 1 foot = 0.333333 yard.
=> 0.333333 yard * 45 = 15 yards, thus the answer is 
=> 2/15

ANSWERED AT 18/01/2020 - 07:03 AM


QUESTION POSTED AT 18/01/2020 - 07:03 AM

Round each addend to the nearest whole number and estimate the sum. 19.43 + 11.5 + 3.08 36 35 34 33

Round each addend to the nearest whole number and estimate the sum.19.43 + 11.5 + 3.08
=> 19.43 = 19 nearest whole number
=> 11.5 = 12 Nearest whole number
=> 3.08 = 3 nearest whole number
=> 19 + 12 + 3 = 34 is the estimated whole number sum.

ANSWERED AT 18/01/2020 - 06:52 AM


QUESTION POSTED AT 18/01/2020 - 06:52 AM

In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all its vertices. Where should Jaden plant the geranium?

Answer:

Jaden has to plant the geranium in the circumcentre of the triangular yard in order such that it is equidistant from all its vertices.

Step-by-step explanation:

In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all its vertices.

" The CIRCUMCENTER (C) of a triangle is the point in the plane equidistant from the three vertices of the triangle "

Hence Jaden has to plant the geranium in the circumcentre of the triangular yard in order such that it is equidistant from all its vertices.



ANSWERED AT 18/01/2020 - 06:49 AM


QUESTION POSTED AT 18/01/2020 - 06:49 AM

Round 72.807 to the nearest tenth. 72.81 72.9 70 72.8

Answer:

72.8

Step-by-step explanation:

The tenth is the immidiate number after the decimal point, so if you are rounding tho the nearest tenth, you have to remember that if you have any number from 5-9 you have to round up, and if you have any number from 1-4 you have to round down, in this case as you have a .807, it´s a ,07 you have to round down to 72.8

ANSWERED AT 18/01/2020 - 06:47 AM


QUESTION POSTED AT 18/01/2020 - 06:47 AM

Which shows a difference of squares? 10y2 – 4x2 16y2 – x2 8x2 – 40x + 25 64x2 – 48x + 9

The second choice 16y2 - x2 shows a difference of squares.
factoring the second choice results to (4y-x)(4y+x) which results to the difference between 4y and x. 

the first choice also shows a difference in the square however sqrt10 is not a perfect radical. 

ANSWERED AT 18/01/2020 - 06:43 AM


QUESTION POSTED AT 18/01/2020 - 06:43 AM

Solve the problem. Samantha is having a braided rug made for her kitchen. The radius of the circular rug is three feet. What is the area of the kitchen floor the rug will cover? square feet

As the rug is circular, we only have to solve for the area of a circle. This is given by the following formula:

Area = pi * r^2

Where: pi = 3.1416
r = radius = 3ft

Area = 3.1416 * (3)^2
Area = 28.27 ft^2

The rug will cover about 28.27 ft^2 of the kitchen floor.

ANSWERED AT 18/01/2020 - 06:43 AM


QUESTION POSTED AT 18/01/2020 - 06:43 AM

What is the simplified form of the quantity 12 z-squared plus 25z plus 12 over the quantity 3 z-squared minus 2z minus 8 ? 4z plus 3 over z plus 2 4z minus 3 over z plus 2 4z plus 3 over z minus 2 4z minus 3 over z minus 2

(12z^2 + 25z + 12)/(3z^2 - 2z - 8) You have to factor it. You know how to factor it right? (12z^2 + 16z + 9z + 12)/(3z^2 - 6z + 4z - 8) (4z(3z + 4) + 3(3z + 4))/(3z(z - 2) + 4(z - 2)) ((4z + 3)(3z + 4))/((3z + 4)(z - 2)) (4z + 3)/(z - 2)

ANSWERED AT 18/01/2020 - 06:42 AM


QUESTION POSTED AT 18/01/2020 - 06:42 AM

Which statement best demonstrates why the following is a non-example of a polynomial? 33 y squared all over x squared − 62y2xz − 35z2y2 The expression has a variable raised to a negative exponent. The expression has a negative coefficient. The expression has a variable raised to a fraction. The expression has a variable in the denominator of a fraction.

Answer:

(D)

Step-by-step explanation:

The given expression can be written as:

\frac{33y^2}{x^2-62y^2xz-35z^2y^2}

From this, it can be seen that the denominator of the given fraction consists of  variables x and y and z which cannot be removed by simplifying the fraction due to which the given fraction cannot act as  a polynomial as polynomial do not contain variables in the denominator if the fraction.

Thus, option D is correct that is The expression has a variable in the denominator of a fraction.

ANSWERED AT 18/01/2020 - 06:42 AM


QUESTION POSTED AT 18/01/2020 - 06:42 AM