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3 years ago

11

Can someone illustrate 4\6 yards and 5/7 yards on an number line. I need help

1 answer:

saw5 [17]3 years ago

5 0

4/6 =.66×36inches in a yard=24 in
5/7=.71 =25.5 inches

As you can tell 24 in comes first and less than 25.so 4/6 is smaller than 5/7

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Decrease <br>133 in the ratio 7:2

love history [14]

Answer:

38

Step-by-step explanation

2/7× 133=38

6 0

3 years ago

Paraphin [41]

The area of a shape is the amount of space a shape can occupy, while the perimeter is the sum of its lengths.

<em>The perimeter is </em> $18 + 3\sqrt 5 + 3\sqrt 2$ <em>units</em>
<em>The area of the sanctuary is 27 square units</em>

We have:

$A = (5,7)\\B=(8, 7)\\C=(8, 1)\\D=( 1, 1)\\E=( 1, 4)\\F= ( 5,4)$

<u>Perimeter</u>

See attachment for the layout of the sanctuary

$BC = \sqrt{(8 - 8)^2 + (7 - 1)^2} = 6$

$EF = \sqrt{(1 - 5)^2 + (4 - 4)^2} = 4$

$FA = \sqrt{(5 - 5)^2 + (4 - 7)^2} = 3$

From the attachment, the sides are

<em>AB, BF, FC, CD, DE and EA</em>

Start by calculating the length of each side using the following distance formula:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_2)^2}$

So, we have:

$AB = \sqrt{(5 - 8)^2 + (7 - 7)^2} = 3$

$BF = \sqrt{(8 - 5)^2 + (7 -1)^2} = \sqrt{45} = 3\sqrt 5$

$FC = \sqrt{(8 - 5)^2 + (1 -4)^2} = \sqrt{18} = 3\sqrt 2$

$CD = \sqrt{(8 - 1)^2 + (1 - 1)^2} = 7$

$DE = \sqrt{(1 - 1)^2 + (1 - 4)^2} = 3$

$EA = \sqrt{(1 - 5)^2 + (4 -7)^2} = 5$

So, the perimeter (P) is:

$P = AB + BF + FC + CD + DE + EA$

$P = 3 + 3\sqrt 5 + 3\sqrt 2 + 7 + 3 + 5$

$P = 18 + 3\sqrt 5 + 3\sqrt 2$

<em>Hence, the perimeter is </em> $18 + 3\sqrt 5 + 3\sqrt 2$ <em>units</em>

<u />

<u>Area</u>

To calculate the area, we need to divide the sanctuary into three.

<em>Triangle ABF</em>
<em>Triangle EFA</em>
<em>Trapezium CDEF</em>

The area of ABF is:

$Area = \frac 12 \times AB \times FA$

Where:

$AB = 3$

$FA = \sqrt{(5 - 5)^2 + (4 - 7)^2} = 3$

$Area = \frac 12 \times 3 \times 3$

$Area = \frac 92$

The area of EFA is:

$Area = \frac 12 \times EF \times FA$

Where:

$FA = 3$

$EF = \sqrt{(1 - 5)^2 + (4 - 4)^2} = 4$

So:

$Area = \frac 12 \times 4 \times 3$

$Area = 6$

The area of CDEF is:

$Area = \frac 12(CD + EF) \times DE$

Where

$CD = 7$

$EF = 4$

$DE = 3$

So, we have:

$Area = \frac 12 (7 + 4) \times 3$

$Area = \frac 12 \times 11 \times 3$

$Area = \frac {33}2$

So, the area of the sanctuary is:

$Area = \frac 92 + 6 + \frac {33}2$

$Area = \frac {9 +12 + 33}2$

$Area = \frac {54}2$

$Area = 27$

<em>Hence, the area of the sanctuary is 27 square units</em>

Read more about areas and perimeters at:

brainly.com/question/11957651

8 0

3 years ago

F(x) = 3x - 2<br><br> f(x) = 0, x=?

podryga [215]

Answer:

2/3 =x

Step-by-step explanation:

f(x) = 3x - 2

Let f(x) =0

0 = 3x-2

Add 2 to each side

2 = 3x-2+2

2 =3x

Divide by 3

2/3 =3x/3

2/3 =x

8 0

3 years ago

Read 2 more answers

Find the 50th term for the sequence 31,24, 17

Nikitich [7]

9514 1404 393

Answer:

-312

Step-by-step explanation:

The general term of an arithmetic sequence is ...

an = a1 +d(n -1)

Here, you have first term a1 = 31, and common difference d = 24-31 = -7. So, the 50th term is ...

a50 = 31 -7(50 -1) = 31 -7(49) = -312

The 50th term for the sequence is -312.

6 0

3 years ago

Which of the following is not a benefit of contributing to a retirement account? A. No need to pay taxes

bagirrra123 [75]

The correct answer was no need to pay taxes. Not D. Apex confirmed

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4 years ago

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