Answer:
60 cm
Step-by-step explanation:
2x the width and 2x the length gives you the perimeter. This can be represented by the equation:
2w + 2L = P
Use the information given in the word problem to fill in the variables.
2(59) + 2L = 238
118 + 2L = 238
move 118 to the other side of the equation.
2L = 238 - 118
2L = 120
move 2 to the other side of the equation.
L = 
L = 60
Answer:
The total surface area of all 6 prisms is 6336 in^2.
Step-by-step explanation:
Let's find the surface area of ONE prism and then multiply that result by 6 to obtain the final answer.
One prism:
The area of the two 13 in by 26 in rectangular tabs is 2(13 in)(26 in), or 676 in^2 (subtotal);
The area of the two triangles of base 10 in and height 12 in is 2([1/2][10 in][12 in], or 120 in^2; and, finally,
The area of the 10 in by 26 in base is 260 in^2.
The total surface area of ONE prism is thus:
676 in^2 + 120 in^2 + 260 in^2, or 1056 in^2.
Now, because there are 6 of these prisms, multiply this last result by 6:
6(1056 in^2) = 6336 in^2.
The total surface area of all 6 prisms is 6336 in^2.
Answer:
The heaviest 5% of fruits weigh more than 747.81 grams.
Step-by-step explanation:
We are given that a particular fruit's weights are normally distributed, with a mean of 733 grams and a standard deviation of 9 grams.
Let X = <u><em>weights of the fruits</em></u>
The z-score probability distribution for the normal distribution is given by;
Z =
~ N(0,1)
where,
= population mean weight = 733 grams
= standard deviation = 9 grams
Now, we have to find that heaviest 5% of fruits weigh more than how many grams, that means;
P(X > x) = 0.05 {where x is the required weight}
P(
>
) = 0.05
P(Z >
) = 0.05
In the z table the critical value of z that represents the top 5% of the area is given as 1.645, that means;



x = 747.81 grams
Hence, the heaviest 5% of fruits weigh more than 747.81 grams.
Answer:
27in
Step-by-step explanation:
So, perimeter means we add all the sides together, as opposed to area, where we multiply them together.
9 - 5 = 4.
So the perimeter of the triangle would be:
3+4+
=12
5 + 5 + 4 +1 (the 1 is from 4 -3) = 15
15 + 12 = 27
Answer:
x=2 and y=1
Step-by-step explanation:
1). Plug the y value into the second equation. It will look like the following afte you plug in what y equals:
-2x-3(6x-11)=-7
2). Then, you distribute the "-3" to all the terms inside the parenthesis.
-2x-18x+33=7
3). Then, you subtract the positive 33 from both sides to try to get the x alone on one side.
-2x-18x=-40
4.) Then, you combine all of the terms containing an x.
-20x=-40
5). Finally, you divide both sides by -20 and the outcome is x=2.
6). Hold up...we ain't done yet..
7). Next, you have to plug the x back into the either equation to get the outcome of what y will be, but for this purpose I will plug it back into the first equation.
y=6(2)-11
8). I will then distribute the 6 into the all the terms in the parenthesis and then it will look like this.
y= 12-11
9). Do the math...and the answer is y=1.