Because there are more than 2 lengths for the sides and because the small triangle faces are right angles we will use this formula:
V=(1/2)bhl
which is equivalent to V=Al (A=(1/2)bh and A is Area)
b=12in
h=35in
l=40in
A=(1/2)•12in•35in
A=(1/2)•420in
A=210in^2
V=Al
V=(210in^2)•40in
V=8400in^3
Making your answer D. 8400 inches cubed
Answer:
The correct option is A
A) -10 ≤ x ≤ 10 , -10 ≤ y ≤ 10
Step-by-step explanation:
We have been given a system of equation:
y = -13x + 17
y = 5x - 23
We have to determine the best window range from the following options:
A) -10 ≤ x ≤ 10 , -10 ≤ y ≤ 10
B) -20 ≤ x ≤ 0 , -20 ≤ y ≤ 0
C) 0 ≤ x ≤ 20, 0 ≤ y ≤ 20
D) 20 ≤ x ≤ 40 , 20 ≤ y ≤ 40
The graph of both the equation is attached below, we can see that the graph shows the solution at the point (2.222, -11.869), where x is positive and y is negative
Now consider the options
Option A includes the solution
Option B doesn't show positive values for x
Option C doesn't show negative values for y
Option D doesn't include the x or y part of the solution
Answer: 12√2 cm
<u>Step-by-step explanation:</u>
Cube 1: V = 6³ = 216
Cube 2: V = 8³ = 512
Cube 3: <u>V = 10³ = 1000</u>
New Cube: V = 1728
1728 = s³
12 = s
So, each side of the new cube is 12 cm.
Use Pythagorean Theorem to find the length of the diagonal:
12² + 12² = diagonal²
144 + 144 = diagonal²
288 = diagonal²
√288 = diagonal
12√2 = diagonal
Answer: There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.
Step-by-step explanation:
Given: 
The p-value for this hypothesis test is 0.025.
The level of significance is α=0.05
As p-value< α ∵0.025< 0.05
[if p-value< α , we reject
]
then, we reject the null hypothesis.
i.e. We have sufficient evidence to support the alternative hypothesis.
Hence, the correct statement is : There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.