Step-by-step explanation:
1. Draw the bottom line EF with a ruler.
2. Use a protractor and draw 2 long lines at 50 degrees, one from point E and one from F and make sure the two lines intersect.
Answer:
Below in bold.
Step-by-step explanation:
The surface area of the box
= x^2 + 4hx where x = a side of the square base and h is the height.
So x^2 + 4hx = 8
The volume of the box
V = x^2h
From the first equation we solve for h
4hx = 8 - x^2
h = (8 - x^2) / 4x
Now we substitute for h in the formula for the volume:
V = x^2 * (8 - x^2) / 4x
V = 8x^2 - x^4 / 4x
V = 2x - 0.25x^3
Finding the derivative:
V' = 2 - 0.75x^2 = 0 for max/mimn values
x^2 = 2/ 0.75 = 2.667
x = 1.633.
So the length and width of the base is 1.633 m and the height
= ( 8 - 2.667) / (4*1.633)
= 0.816 m
The maximum volume = 0.816 * 2.667 = 2.177 m^2.
The answers are correct to the nearest thousandth.
Answer:
Step-by-step explanation:
Let X represent for males and Y for females
Given that
Group Group One Group Two
Mean 84.00 78.00
SD 4.00 8.00
SEM 1.26 2.53
N 10 10
SEM is calculated as
for each group

(Two tailed test at 5% significance level)

Since p <0.05 we reject H0 and there is significant difference between the groups.
A.Exam scores were significantly higher in the male group, t(18) = 2.83, p < .05B
The area used to make the triangular flag is 15 square inches.
Given
Two of the sides are 8 in.
Lila made a triangular flag to cheer on her favorite sports team.
The perimeter of the flag is 20 inches.
<h3>What is Heron’s formula?</h3>
Semi-perimeter is equal to the sum of all three sides of the triangle divided by 2.
Then,
The value of S is;

Therefore,
The area used to make the triangular flag is;

Hence, the area used to make the triangular flag is 15 square inches.
To know more about Heron's formula click the link given below.
brainly.com/question/13907146
This is false because when you multiply a number by 10, you simply move the decimal place one to the right. In this case, when we multiply 0.02 by 10, we get .2. Had we multiplied 0.02 by 100, we would have gotten 2.