Complete Question
Angela has constructed a wedge-shaped pillow for her TV watching needs. It contains 0.35 m³ of fluffy material. The pillow's base area measures 0.5m², and its height stands at 1m.
What is the length of the pillow?
Provide an exact answer (no rounding).
Answer:
1.4m
Step-by-step explanation:
A wedge can be defined as a Triangular prism. Thus,
The volume formula for a wedge (Triangular prism) is given by: 1/2 × B × H × L
b = 0.5m
h = 1 m
l =??
Volume of the wedge = 0.35 m³
0.35 = 1/2 × 0.5 × 1 × L
0.35 = 0.25 × L
Solving for L, we get: L = 0.35/0.25
L = 1.4m
Answer:
Step-by-step explanation:
For question 1, the result is calculated by dividing the percentage of students in the sports club by the SAT average, while for question 2, the answer is no since the definitions yield contrary outcomes.
Answer:
The solution to the equation is 40
This indicates the max number of wedding invitations they can afford to send within their budget.
Step-by-step explanation:
To find the zero of the function, we set the dependent variable (here, m) to zero.
So we have;
0 = 50-1.25w
1.25w = 50
w = 50/1.25
w = 40
What implication does this have in this context?
Essentially, it means that the couple can send out invitations to a total of 40 people based on their budget.
Answer : y>0
f(x) = 9*2^x
This function is exponential in form

Substituting positive numbers for x yields positive y values
Substituting negative numbers for x also results in positive y values
Therefore, y remains positive regardless of the value of x.
The range comprises all possible y outputs of the function
Since y is always positive, the range is y > 0