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noname [10]
2 years ago
15

What is the area of this compound shape?!

Mathematics
2 answers:
iris [78.8K]2 years ago
8 0
So you would start with the square and do 18 times 18 which equals 324 then for the triangle it's base times height divided by two so 9 times 18 divided by 2 which equals 81 then you add the triangle plus the square and your final answer is

answer:405
Kruka [31]2 years ago
6 0
First you have to find the area of the triangle. To do this you must us the formula 1/2 multiplied by the base and height of the triangle. In this case the equation would be: 1/2 (or 0.5) x 18 x 9 which equals 81. Then you would have to find the area of the square, which is base times height which would be: 18 x 18. This would equal 324. To get your final answer you need to find the product of the two areas which would equal 405.
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Rodney is given twi equations:x-y=11 and 2x+y=19
lozanna [386]

Answer:

x= 10 and y= -1

Step-by-step explanation:

Rewrite your second equation Y= -2x+ 19 then plug it into the first equation.

x- (-2x + 19) = 11

x + 2x - 19 =11

3x - 19 = 11

3x = 30

x = 10

The plug that answer into the first equation and solve.

10 - y = 11

-y = 1

y = -1

3 0
3 years ago
the graph below shows how many gallons of gas are used by a boat when it travels. how many gallons of gas would the boat use to
Sindrei [870]
The boat uses 4 gallons to travel 6 miles. Traveling 4 times as far is expected to require 4 times the gas.

4 gallons = 6 miles
Multiply by 4.
16 gallons = 24 miles

⇒ 16 gallons
3 0
3 years ago
The sample space for a roll of two number cubes is shown in the table.
katen-ka-za [31]
I think its C but I'm not 100% sure
5 0
3 years ago
Read 2 more answers
A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in
erica [24]

Answer:

\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54

The degrees of freedom are:

df=n-1=10-1=9

Now we can calculate the p value using the alternative hypothesis:

p_v =2*P(\chi^2 >13.54)=0.279

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

Step-by-step explanation:

Assuming the following data:"12.14 12.05 12.27 11.89 12.06

12.14 12.05 12.38 11.92 12.14"

We can calculate the sample deviation with this formula:

s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

n=10 represent the sample size

\alpha=0.05 represent the confidence level  

s^2 =0.0217 represent the sample variance

\sigma^2_0 =0.12^2= 0.0144 represent the value to verify

Null and alternative hypothesis

We want to determine whether the standard deviation differs from 0.12 ounce, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 = 0.0144

Alternative hypothesis: \sigma^2 \neq 0.0144

The statistic can be calculated like this;

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54

The degrees of freedom are:

df=n-1=10-1=9

Now we can calculate the p value using the alternative hypothesis:

p_v =2*P(\chi^2 >13.54)=0.279

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

7 0
3 years ago
The graph shows the number of chairs made in a factory during one day .
GaryK [48]

Answer:

C) the factory produces 25 chairs per hour

                     

Step-by-step explanation:

Let's find the rate of change (slope):  

let:\\(x1,y1) =(2,50)\\(x2,y2)=(4,100)\\m=\frac{100-50}{4-2} =\frac{50}{2} =25 \\

7 0
2 years ago
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