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il63 [147K]
4 years ago
12

Multiply. (−23)(54) Enter your answer as a fraction, in simplified form, in the box.

Mathematics
1 answer:
Sati [7]4 years ago
5 0

Answer: -\frac{1242}{1}

Step-by-step explanation:

By definition, negative numbers, positive numbers and zero are Integers.

It is important to remember the multiplication of signs:

(-)(-)=+\\(+)(+)=+\\(-)(+)=-

You can observe that you must multiply two integers, one of them is negative and the other one is positive. The product will be an integer. Then:

(-23)(54)=-1242

Since any Integer can be written as a fraction, you can rewrite the product by writing -1242 as the numerator and 1 as the denominator.

Then, this is:

=-\frac{1242}{1}

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The
stepan [7]

Answer:

Area = 129.5m^2

Perimeter = 48m

Step-by-step explanation:

Given

See attachment

Required

Determine the area and the perimeter of the garden

Calculating Area

First, we calculate the area\ of\ the\ rectangle

A_1 = L * B

Where:

L = 20-(3.5 +3.5)

B = 7

So:

A_1 = (20 - (3.5 + 3.5)) * 7

A_1 = (20 - 7) * 7

A_1 = 13 * 7

A_1 = 91

Next, we calculate the area of the two semi-circles.

Two semi-circles = One Circle

So:

A_2 = \pi r^2

Where

r = \frac{7}{2}

A_2 = \frac{22}{7} *  (\frac{7}{2})^2

A_2 = \frac{22}{7} *  \frac{49}{4}

A_2 = \frac{22}{1} *  \frac{7}{4}

A_2 = \frac{22*7}{4}

A_2 = \frac{154}{4}

A_2 = 38.5

Area of the garden is

Area = A_1 + A_2

Area = 91 + 38.5

Area = 129.5m^2

Calculating Perimeter

First, we calculate the perimeter of the rectangle

But in this case, we only consider the length because the widths have been covered by the semicircles

P_1 = 2 * L

Where:

L = 20-(3.5 +3.5)

So:

P_1 =2 * (20-(3.5 +3.5))

P_1 =2 * (20-7)

P_1 =2 * 13

P_1 =26

Next, we calculate the perimeter of the two semi-circles.

Two semi-circles = One Circle

So:

P_2 = 2\pi r

Where

r = \frac{7}{2}

P_2 = 2 * \frac{22}{7} * \frac{7}{2}

P_2 = \frac{2 * 22 * 7}{7 * 2}

P_2 = \frac{308}{14}

P_2 = 22

Perimeter of the garden is

Perimeter = P_1 + P_2

Perimeter = 26 + 22

Perimeter = 48m

8 0
3 years ago
At 2pm the level of the water in the pool was 10feet.At 6pm the level of water was 2 feet.What is the constant rate
Lyrx [107]

2 pm to 6pm is 4 hours

10 feet - 2 feet = 8 feet

 8 feet / 4 hours = 2 feet per hour

 since it is losing water it would be negative 2 feet per hour

8 0
3 years ago
1. 360 miles in 6 hours​
Temka [501]

Answer:

60mph

Step-by-step explanation:

7 0
4 years ago
The seventh and eighth graders at East Middle School are having a competition to see whose class can sell the most candy bars ov
lyudmila [28]
Should be 355,if I didn't read the graph wrong
5 0
3 years ago
What is equivalent to (18x+21)-2x
Solnce55 [7]

Answer:

16x+21

Step-by-step explanation:

5 0
3 years ago
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