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lina2011 [118]
3 years ago
10

. A rectangular fish pond is 21 ft2 in area. If the owner can surround the pond with a 20-foot fence, what are the dimensions of

the pond?
Mathematics
1 answer:
prisoha [69]3 years ago
7 0

Answer:

It's 3 x 7 pond or a 7 x 3 pond

Step-by-step explanation:

Let the rectangular pond have dimensions l x b.

ATQ, l*b=21 and 2(l+b)=20. Solving it, we get l=3 or 7 and b=7 or 3.

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An art teacher has a jar containing b buttons to distribute to her class for a project. In order to give each in the class 6 but
Nastasia [14]

Answer:

22

Step-by-step explanation:

Given:

An art teacher has the total number of buttons = b

1. In order to give each in the class 6 buttons, she will need 18 more buttons.

2. If she gives each child 5 buttons, she will have 4 left over.

Question asked:

How many children are in the class ?

Solution:

<u>Let total number of children in the class = </u>x

<u><em>As given that, 18 more buttons will be needed to give 6 buttons to each.</em></u>

The equation will be:-

b+18=6x\\b-6x=-18\ (equation\ 1)

<em><u>Also given that, If she gives 5 buttons to each, she will have 4 left over.</u></em>

The equation will be:-

b-5x=4\ (equation\ 2)

Subtraction equation 2 from 1

b-6x-(b-5x)=-18-4\\b-6x-b+5x=-22\\-6x+5x=-22\\-x=-22\\Minus\ canceled\ by\ minus\\x=22

Hence, total number of children are 22.

4 0
3 years ago
Find the area of the composite shape below.<br><br> a 66.8<br> b 91.92<br> c 101.12<br> d 101.6
Evgesh-ka [11]

Answer:

66.24 (This answer does not match to any of the options...)

Step-by-step explanation:

This shape can be divided into 2 different shapes. A triangle and a rectangle.

Area of a Triangle = \frac{1}{2} × base × height

= \frac{1}{2} × 8.8 × 7.8

= 34.32

Area of a Rectangle = Length × Width

= (19.2 - 7.8) × (8.8 - (3+3))

= 11.4 × 2.8

= 31.92

Total area = 34.32 + 31.92 = 66.24

                         

3 0
2 years ago
Read 2 more answers
10. The length of the radius of a bicycle wheel is 14 inches. Which of the following is closest to the circumference of the whee
Elina [12.6K]

Answer:

87.92

Step-by-step explanation:

you have your radius 14 inches  to get the  answer is

1: pie   is 3.14

2: circumference is 2× 3.14×14

3: 3.14×14

4: 43.96 × 2

5 0
2 years ago
M∠a=(48−x)°m∠b=(9x−38)°m∠c=90°
Fudgin [204]

Answer:

Option C:

  • m∠a = 38°
  • m∠b = 52°
  • m∠c = 90°

Step-by-step explanation:

Hello!

The sum of all angles in a triangle is 180°.

Add up all the angles and solve for x by setting the equation to 180°.

<h3>Solve for x</h3>
  • ∠a + ∠b + ∠c = 180°
  • (48 - x)° + (9x - 38)° + 90° = 180°
  • 10° + 8x + 90° = 180°
  • 8x = 180° - 90° - 10°
  • 8x = 80°
  • x = 10°

Now that we solved for x, we can plug it back into each equation to solve for each angle.

<h3>Angle A</h3>
  • 48° - x
  • 48° - 10°
  • 38°
<h3>Angle B</h3>
  • 9x - 38°
  • 9(10°) - 38°
  • 90° - 38°
  • 52°
<h3>Angle C</h3>
  • 90°

The answer is Option C:

  • m∠a = 38°
  • m∠b = 52°
  • m∠c = 90°
4 0
1 year ago
How would you solve this problem 2/6×3= would you divide or multiply
Rainbow [258]
In the order of operation, multiplying or dividing don't take preference over the other. So with them, you work from left to right.

This means for this question, you first divide, then multiply.
5 0
3 years ago
Read 2 more answers
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