Since the base is a regular quadrilateral, each of its 4 sides must have length
s = P/4
s = (60 cm)/4 = 15 cm
The area of one lateral face is the product of side length and height.
A = s×h
105 cm² = (15 cm)×h
Then the height of the prism is
h = (105 cm²)/(15 cm) = 7 cm
The area of the base is then
B = s²
B = (15 cm)² = 225 cm²
The volume of the prism is the product of its base area and height.
V = Bh
V = (225 cm²)×(7 cm) = 1575 cm³
The volume is 1575 cm³.
An inverse function is a function that reverses another function, so we have a function called:

Then, the inverse function will be as follows:

Given that

, we need to isolate x in terms of y:

∴

So:

and

therefore, exchanging variables x and y:

and


and

Which are the figures shown below.
Answer:
14 ounces of blue paint
Step-by-step explanation:
The ratio of blue to yellow is 2:7
To solve this problem we can make a proportion:
2/7=x/49
the numerator represents the blue paint, the denominator represents the yellow paint
To solve the proportion you have to cross multiply:
2*49=7*x
x=14
She needs to add 14 oz of blue paint
I hope this helps :)
Answer:
Step-by-step explanation:
Answer:
Data set 3 has the highest IQR, so the correct option is {13,17,12,21, 18,20}
Step-by-step explanation:
The question is:
Which data set has the greatest spread for the middle 50% of its data
We have given the data sets:
{18,13,22, 17, 21, 24}
{17,19,22,26,17,14}
{13,17,12,21, 18,20}
{18,21,16,22,24,15}
To find the greatest spread for the middle we need to find the IQR for all the data sets and check which one is highest.
So,
For the first set: 22-17 = 5
For the second: 22-17 = 5
For the third set = 20-13 = 7
For the fourth set = 22-16 = 6
Since data set 3 has the highest IQR, so the correct option is {13,17,12,21, 18,20} ....