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3 years ago

Can someone please help me with this please?

Mathematics

1 answer:

valina [46]3 years ago

4 0

Step-by-step explanation:

Area of the rectangle = 9×6 = 54 m²

Area of the path is also 54 m²

so total area of the bigger rectangle is 54+54 = 108 m²

now the ratio of length to width is 9:6 or, 3:2

so, for 108 m²

(3x)(2x) = 108

6x²=108

x²=18

x=3√2

So length = 3x = 9√2 and width = 2x = 6√2

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1/8 divided by 2 = 1/16

kati45 [8]

I would say the first one because it goes into more detail than just 8x2=16 it would be like me saying "I have a dog" and then "i have a dog that can do tricks" witch one would you chose for more details

5 0

3 years ago

At a restaurant last night, 8 people ordered salads, 10 ordered steaks, 18 ordered chicken, and 14 ordered pasta.

tatyana61 [14]

Answer:

36 people would order chicken.

Step-by-step explanation:

Case I: (50 People in Total)

Total Number of People Ordering=8+10+18+14=50

Percentage of People ordering chicken=people ordering chicken/total number of people=18/50=0.36%

Case II: (100 People in Total)

Number of People ordering chicken=percentage of people ordering chicken x total number of people=0.36 x 100=36

6 0

3 years ago

What is the perimeter of the triangle shown on the coordinate plane,to the nearest tenth of a unit ?

ollegr [7]

Answer:

25.6 units

Step-by-step explanation:

From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).

First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:

$d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}$

where

$(x_1,y_1)$ are the coordinates of the first point

$(x_2,y_2)$ are the coordinates of the second point

- For AB:

$d=\sqrt{[1-(-5)]^{2}+(4-4)^2}$

$d=\sqrt{(1+5)^{2}+(0)^2}$

$d=\sqrt{(6)^{2}}$

$d=6$

- For BC:

$d=\sqrt{(3-1)^{2} +(-4-4)^{2}}$

$d=\sqrt{(2)^{2} +(-8)^{2}}$

$d=\sqrt{4+64}$

$d=\sqrt{68}$

$d=8.24$

- For AC:

$d=\sqrt{[3-(-5)]^{2} +(-4-4)^{2}}$

$d=\sqrt{(3+5)^{2} +(-8)^{2}}$

$d=\sqrt{(8)^{2} +64}$

$d=\sqrt{64+64}$

$d=\sqrt{128}$

$d=11.31$

Next, now that we have our lengths, we can add them to find the perimeter of our triangle:

$p=AB+BC+AC$

$p=6+8.24+11.31$

$p=25.55$

$p=25.6$

We can conclude that the perimeter of the triangle shown in the figure is 25.6 units.

6 0

3 years ago

Which is the hypothesis of this statement?

zubka84 [21]

I agree with you.
The hypothesis is the part where the word <em>if </em>can be found. So, the hypothesis here has to be C. a and b are negative.

3 0

3 years ago

Determine whether or not the random variable X is a binomial random variable. If so, give the values of n and p. If not, explain

dimulka [17.4K]

Answer:

Both are binomials.

Step-by-step explanation:

Given that

a) X is the number of dots on the top face of fair die that is rolled.

When a fair die is rolled, there will be 1 to 6 numbers on each side with dots in that. Each time a die is rolled the events are independent. Hence probability of getting a particular number in the die is 1/6. There will be two outcomes either the number or not the number. Hence X no of times we get a particular number of dots on the top face of fair die that is rolled is binomial with n = no of rolls, and p = 1/6

b) X is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which 0.02% of all parts are defective.

Here X has two outcomes whether defective or non defective. EAch part is independent of the other in the sense that the probability for each trial is constant with 0.02% =p and no of trials = n = 10.

7 0

3 years ago