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Fudgin [204]
2 years ago
9

Se M =2³ e N =2², determine (M² . N³)²:

Mathematics
2 answers:
mario62 [17]2 years ago
8 0
Answer:

2/24

Explanation:

(M/2 x N/3) 2 =
(2/6 x 2/6)2 =
(2/12)2 =
2/24
pashok25 [27]2 years ago
7 0

Answer:

M = 2³; M² = (2³)² = 2^6

N = 2²; N³ = (2²)³ = 2^6

Logo: (M² . N³)² = (2^6.2^6)² = (2^12)² = 2^2

Step-by-step explanation:

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Can someone please help me with 9 and 10!!! Thank you so much!!!
Dmitrij [34]
9 Is −4x3 and 10 is −5a2
5 0
2 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

Perimeter of rectangle = 2(length + breadth)

P = 2 (L + B)

P = 2 (18 + 7)

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)

P = 2(6 + 4)

P = 20 in

Example 7: A boy walks 5 times around a park. If the size of the park is 100m by 50m, find the distance the boy has walked. If he walks 100m in 5 minutes, how long will it take for him in total?

Solution:

Given that:

Length = L = 100m

Width = W = 50m

Rounds = 5

Time per 100m = 5minutes.

Perimeter of the park:

P = 2 L + 2 W.

P = 2 × 100 + 2 × 50

P = 200 + 100

P = 300 m

Total distance walked = 5 × Perimeter of the park.

= 5 × 300

= 1500 meters

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

= 1500 × 5/100

= 75minutes or 1hr 15minutes

6 0
3 years ago
What is the volume of the rectangular prism? <br> 94.5 yd3 <br> 58.0 yd3 <br> 25.5 yd3 <br> 20.5 yd3
aliina [53]

Answer:

94.5yd³

Step-by-step explanation:

volume = length × width × height

length = 7 yd , width = 4.5 yd and height = 3 yd

so volume = 7 × 4.5 × 3 = 94.5yd³

7 0
2 years ago
Use your calculator to find the approximate volume in cubic units of the solid created when the region under the curve y = sec(x
Naily [24]

Answer:

idk Sorry :\

Step-by-step explanation:

6 0
2 years ago
The circle graph shows the percentage of time Jacob spent on homework in each subject last week.Time Spent on Homework12.5%25%ar
Goshia [24]

We are given a circle graph that shows the time spent on homework last week.

Jacob spent a total of 16 hours doing homework.

The time spent on doing science homework is given by

\begin{gathered} t_{\text{science}}=25\%\: of\: 16 \\ t_{\text{science}}=\frac{25}{100}\: \times\: 16=4\: \text{hours} \end{gathered}

The time spent on doing band practice is given by

\begin{gathered} t_{\text{band}}=12.5\%\: of\: 16 \\ t_{\text{science}}=\frac{12.5}{100}\: \times\: 16=2\: \text{hours} \end{gathered}

The difference between the time spent on science homework and band practice is

difference=t_{\text{science}}-t_{\text{band}}=4-2=2\: \text{hours}

Therefore, Jacob spent 2 more hours on science homework than band practice.

4 0
1 year ago
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