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zalisa [80]
3 years ago
10

Please help, marking brainleist, show work

Mathematics
1 answer:
Stels [109]3 years ago
4 0

Answer:

Perimeter: 16x + 16

Area: 40x + 15

Step-by-step explanation:

Remember, the perimeter is the sum of all the sides of a figure, it can be found by adding up all the sides. The area is the space within the figure, in the case of a quadrilateral can be found by multiplying the length by the width. Finally, in a rectangle, the opposite sides are congruent, parallel, and intersect in 90degree (right) angles.

Using this,

1. Find the perimeter

Since opposite sides are congruent, there will be two sides with a measure of ( 8x + 3 ), and two sides with the measure of 5. Hence the sum of all the sides would be

8x + 3 + 8x + 3 + 5 + 5

Add them together,

16x + 16.

The perimeter of the figure is 16x + 16

2. Find the area,

To find the area of a rectangle, multiply the length by the width.;

( 8x + 3 ) * 5

Distribute:

40x + 15

The area of the figure is 40x + 15

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Factor xsquared +4x+4=0
Alex17521 [72]
So we can use the ac method or foiling to find this answer, 

x^2 + 4x + 4 = (x+2)(x+2) 
5 0
3 years ago
A quantity with an initial value of 240 grows exponentially at a rate of 9.5% every 2 decades. What is the value of the quantity
postnew [5]

Answer:  303.870087962229

Simplify ≈303.87

Step-by-step explanation:

Grows 9.5%→r=0.095 Divide by 100

Grows every 2 decades: exponent of t2

(where t is in decades)

Write a function:

f(t)=240(1+0.095) ^t/2 Percent change every 2 decades

52 years→52/10→5.2 decades There are 10 years in a decade

Plug in t=5.2

f(5.2)=240(1+0.095) 5.2/2

Answer:  303.870087962229

≈303.87

Round to the nearest hundredth

8 0
2 years ago
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the
iogann1982 [59]

Answer:

The average of rate was of 0.4314 cm/day, which means that on average, during this interval, the plant grew by 0.4314 cm each day.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function f(x), from x = a to x = b, is given by:

A = \frac{f(b)-f(a)}{b-a}

In this question:

f(x) = 12(1.03)^n

From n = 3 to n = 10

a = 3, b = 10

f(b) = f(10) = 12(1.03)^{10} = 16.13

f(a) = f(3) = 12(1.03)^{3} = 13.11

Average rate of change:

A = \frac{f(b)-f(a)}{b-a} = \frac{16.13-13.11}{10-3} = 0.4314

The average of rate was of 0.4314 cm/day, which means that on average, during this interval, the plant grew by 0.4314 cm each day.

4 0
3 years ago
Which of the following statements about the sampling distribution of the sample mean, x-bar, is not true? A. The sampling distri
Elenna [48]

Answer: E. All of the above statements are true

Step-by-step explanation:

The mean of sampling distribution of the mean is simply the population mean from which scores were being sampled. This implies that when population has a mean μ, it follows that mean of sampling distribution of mean will also be μ.

It should also be noted that the distribution's shape is symmetric and normal and there are no outliers from its overall pattern.

The statements about the sampling distribution of the sample mean, x-bar that are true include:

• The sampling distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough.

• The sampling distribution is normal regardless of the sample size, as long as the population distribution is normal. • The sampling distribution's mean is the same as the population mean.

• The sampling distribution's standard deviation is smaller than the population standard deviation.

Therefore, option E is the correct answer as all the options are true.

7 0
3 years ago
The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.
Lady bird [3.3K]

Answer:

Step-by-step explanation:

The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.

find the value of x

x + 2x + x + 8 = 180

4x = 180 - 8

4x = 172

x = 172 : 4

x = 43

find angles

2x = 43 * 2

2x = 86°

-------

x = 43°

--------

x + 8 = 43 + 8

x = 51°

-----------------------

check

86 + 43 + 51 = 180°

the answer is good

6 0
2 years ago
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