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3 years ago

Use the associative property to find more factors of 12 and 30

Mathematics

1 answer:

ahrayia [7]3 years ago

8 0

The associative property could be that they are both even and they are both in the 3x table

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The diagram shows a semi circle inside a rectangle of length 140m. the semi circle touches the rectangle at P, Q and R. Calculat

exis [7]

Answer: 250m

Step-by-step explanation:

Length of rectangle = 140m

Length of rectangle = diameter of semicircle = 140m

Therefore, Radius(r) = 140m / 2 = 70m

Perimeter of the shaded region:

Length of tangent at P + length of tangent at Q + shaded portion of arc(AB)

Length of tangent = diameter / 2

Length of tangent = 70m

Perimeter of a circle = 2πr = 2 × 22/7 × 70 = 440m

shaded portion = 440 / 4 = 110m

Therefore, perimeter of shaded portion equals

70m + 70m + 110m = 250m

4 0

3 years ago

This question has three parts. Answer the parts in order.

nalin [4]

Answer:

The area of the smallest section is $A_{1}=100yd^{2}$

The area of the largest section is $A_{2}=625yd^{2}$

The area of the remaining section is $A_{3}=250yd^{2}$

Step-by-step explanation:

Please see the picture below.

1. First we are going to name the side of the larger square as x.

As the third section shares a side with the larger square and the four sides of a square are equal, we have the following:

- Area of the first section:

$A_{1}=10yd*10yd$

$A_{1}=100yd^{2}$

- Area of the second section:

$A_{2}=x^{2}$ (Eq.1)

- Area of the third section:

$A_{3}=width*length$

$A_{3}=10yd*x$ (Eq.2)

2. The problem says that the total area of the enclosed field is 975 square yards, and looking at the picture below, we have:

$A_{1}+A_{2}+A_{3}=975yd^{2}$

Replacing values:

$100+x^{2}+10x=975$

Solving for x:

$x^{2}+10x-875=0$

$x=\frac{-10+\sqrt{100+(4*875)}}{2}$

$x=\frac{-10+\sqrt{3600}}{2}$

$x=\frac{-10+60}{2}$

$x=25$

3. Replacing the value of x in Eq.1 and Eq.2:

- From Eq.1:

$A_{2}=25^{2}$

$A_{2}=625yd^{2}$

- From Eq.2:

$A_{3}=10*25$

$A_{3}=250yd^{2}$

3 0

2 years ago

A rectangle has a width of 12 ft and a length of 4 ft. What is the effect on the perimeter when the dimensions are multiplied by

fiasKO [112]

The original perimeter is 32ft.
The dimensions of the new rectangle are 72 ft wide and 24 ft long.
The new perimeter is 192 ft.
When the dimensions are multiplied by 6, the perimeter also multiplied by 6.

5 0

2 years ago

Solve for x x- 2x (12 - 1/2) =2 (4-2x) +20 A.-14/9 B.-9/14 C.14/9 D.9/14

MrMuchimi

Answer:

Step-by-step explanation:

-22x=-4x+28

-18x=28

x=-28/18=-14/9

7 0

2 years ago

How do I get the answer to 45.27 x 62.3?

GaryK [48]

Answer:

2820.321

Here’s how the multiplication works:

Perform the multiplication just as you would for whole numbers.

When you’re done, count the number of digits to the right of the decimal point in each factor and add the results.

Place the decimal point in your answer so that your answer has the same number of digits after the decimal point.

Step-by-step explanation:

Mark me brainliest!

8 0

2 years ago