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mezya [45]
3 years ago
6

- Write each expression as a multiple of a power of 10:

Mathematics
1 answer:
Rufina [12.5K]3 years ago
5 0

Answer:

To write the following expressions as a multiple of a power of 10 you need to take each of the numbers and raise them to the power of 10.

An easy way to do this is to find the decimal point and move it over one spot to the right.

a. 0.04- move the decimal one to the right and you get that 0.04^10=00.4.

b. 0.072-move the decimal to the right one spot you get 0.072^10=00.72.

c. 0.0000325-move your decical to get 0.0000325^10=00.000325.

d. 0.003-move the decimal to get 0.003^10=00.03 or three hundredths.

e. 0.23-move your decimal to get 0.23^10=2.3 or two and three tenths.

f. 0.729-move you decimal to the right to get 0.729^10=07.29 or seven and twenty-nine hundredths.

g. 0.000041- move your decimal to the right to get 0.000041^10=00.00041 or forty-one hundred thousandths.

Hope this helps ;)

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Answer:

Step-by-step explanation:

18% tip in $=18/100 * $4.06

$0.7308

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8 0
3 years ago
to find the perimeter of the rectangle you can see the formula P=21+2W. find the perimeter P of a rectangle whose length L is 10
Olin [163]

Answer:

rectangle, the distance around the outside of the rectangle is known as perimeter. A rectangle is 2-dimensional; however, perimeter is 1-dimensional and is measured in linear units such as feet or meter etc.

The perimeter of a rectangle is the total length of all the four sides.

Perimeter of rectangle = 2L + 2W.

Example 1: Rectangle has the length 13 cm and width 8 cm. solve for perimeter of rectangle.

Solution:

Given that:

Length (l) = 13 cm

Width (w) = 8 cm

Perimeter of the rectangle = 2(l + w) units

P = 2(13 + 8)

P = 2 (21)

P = 42

Thus, the perimeter of the rectangle is 42 cm.

Example 2: If a rectangle's length is 2x + 1 and its width is 2x – 1. If its area is 15 cm2, what are the rectangle's dimensions and what is its perimeter?

Solution:

We know that the dimensions of the rectangle in terms of x:

 l = 2x + 1

w = 2x – 1

Since the area of a rectangle is given by:

A = l * w

We can substitute the expressions for length and width into the equation for area in order to determine the value of x.

A = l * w

15 = (2x + 1) (2x -1)

15 = 4x2 – 1

16 = 4x2

x = ±2

 

 Note that the value of x must be positive and therefore in our case, the value of x is 2. And now we have:

l = 5 cm

w = 3 cm

Therefore, the dimensions are 5cm and 3cm.

Now, substituting these values in the formula for perimeter, we will get

P = 2l + 2w

P = 2(5)+2(3)

P = 10+6

P = 16 cm

Example 3: Find the area and the perimeter of a rectangle whose length is 24 m and width is 12m?

Solution:

Given that:

length = L = 24m

width = W = 12m

Area of a rectangle:

A = L × W

A = 24 × 12

A = 188 m2

Perimeter of a rectangle:

P = 2L + 2W

P = 2(24) + 2(12)

P = 48 + 24

P = 72 m

Example 4: Find the area and perimeter of a rectangle whose breadth is 4 cm and the height 3 cm.

Solution:

Area = b×h = 4×3 = 12 cm2.

Perimeter = 2(b) + 2(h) = 2(4) + 2(3) = 8 + 6 = 14.

Example 5: Calculate the perimeter of the rectangle whose length is 18cm and breadth 7cm

Solution:

Given that:

L = 18 cm

B = 7 cm

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P = 2 (L + B)

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P = 50 cm

Example 6: Find the perimeter of rectangle whose length is 6 inches and width is 4 inches.

Solution:

P = 2(L + B)

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Solution:

Given that:

Length = L = 100m

Width = W = 50m

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Time per 100m = 5minutes.

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Total distance walked = 5 × Perimeter of the park.

= 5 × 300

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Total time taken = Total distance walked × time taken to walk 1m.

= 1500 × 5/100

= 75minutes or 1hr 15minutes

6 0
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Answer:

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An equation is a problem with an equals sign so you need to put what it would equal.

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