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3 years ago

Find the perimeter of a rectangle whose sides are 8 1/2cm by 4 1/2cm.

Mathematics

2 answers:

Lana71 [14]3 years ago

5 0

Answer:

26 cm

Step-by-step explanation:

To find the perimeter with the side lengths, you can use this formula: 2(L+W) because it's the measure of the distance around the rectangle. So,

2(8.5+4.5)

2(13)=26

spayn [35]3 years ago

4 0

Answer:26

Step-by-step explanation:

You might be interested in

The area of a rectangle is represented by x2 + 2x - 3. The width of the rectangle is x - 1. What is the length of the rectangle?

WARRIOR [948]

Answer:

Option A. x + 3

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = x² + 2x – 3

Width (W) = x – 1

Lenght (L) =?

The area of a rectangle is given by:

Area (A) = length (L) × Width (W)

A = L × W

With the above formula, we can obtain the lenght of the rectangle as follow:

Area (A) = x² + 2x – 3

Width (W) = x – 1

Lenght (L) =?

A = L × W

(x² + 2x – 3) = L(x – 1)

Divide both side by (x – 1)

L = (x² + 2x – 3) / (x – 1)

Please see attached photo for explanation

L = x + 3

Thus, the length of the rectangle is x + 3

8 0

3 years ago

4. Given the points M(-3, -4) and T(5,0), find the coordinates of the point Q on directed line segment MT that partitions MT in

Firlakuza [10]

Answer:

4 :  Coordinate of Q = $(\frac{1}{5} ,\frac{-12}{5} )$

5 : Coordinate of point A = (-2,-2)

Explanation :

4) Given the points M(-3, -4) and T(5,0)

x₁= -3, y₁ = -4 and

x₂ = 5, y₂ = 0

m = 2, n = 1

Now apply the section formula,

{(mx₂+nx₁)/(m+n) , (my₂+ny₁)/(m+n)}

Coordinate of point Q = $(\frac{1}{5} ,\frac{-12}{5} )$

5) AB:BC = 3:4

A = (x,y), end point

B = (4, 1)

C = (12, 5) end point

So, m = 3 & n = 4

x₁ = x , y₁ = y , x₂=12 & y₂ = 5

Apply section formula we get

4 = (36+4x)/7 & 1 = (15 + 4y)/7

28= 36 + 4x 7 = 4y + 15

4x =-8 4y =-8

x = -2 y = -2

5 0

3 years ago

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe

kherson [118]

Answer:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: