Answer:
96 cm²
Step-by-step explanation:
The area of a rhombus is usually found as half the product of the diagonals. Here, the lengths of the diagonals are 16 cm and 12 cm, so the area is ...
A = (1/2)(d1)(d2) = (1/2)(16 cm)(12 cm) = 96 cm²
_____
This is one of the area formulas it is useful to keep handy.
_____
Here, the area can also be found as 4 times the area of the marked triangle. That triangle's area is ...
A = (1/2)bh = (1/2)(8 cm)(6 cm) = 24 cm²
Four times that area is the are of the rhombus:
rhombus area = 4 × triangle area = 4 × 24 cm² = 96 cm²
Answer
Find out f(f(x)) .
To prove
As given in the question
f(x) = x² + 1
Now
f(f(x)) = f (x² + 1)
Now find out the value of f (x² + 1).
f(f(x)) = f (x² + 1)
= (x² + 1)² + 1
Using formula
(a + b)² = a² + b² + 2ab
Apply in the above function
f(f(x)) = (x² + 1)² + 1
Simplify
Thus the value of f(f(x)) is .
Answer:
BC=BD
Step-by-step explanation:
This is the correct answer for Usatestprep
Answer:
C. Setting up a booth in the lunchroom where students can give their thoughts
Step-by-step explanation:
Sampling is the process by which some part of the entire population is selected and researched. This selected population helps in estimating the researches for the entire population. There are various methods used for the process of sampling.
For the given case, the sampling method to be adopted is to view each students' opinion on the issue. For this process, setting up a booth can prove helpful as the opinion of every student can be viewed with no biases. Also, every student is free to provide their opinion with any fear.
Answer:
Correct answer: V = 82.5 in³
Step-by-step explanation:
This is a regular five sided prism.
Given:
The base edge a = 4 in
The radius of the inscribed circle or the height of an isosceles triangle
Ri = h = 2.75 in
Prism height H = 3 in
The base consists of five isosceles triangles
The area of one triangle is:
A₁ = a · h / 2
The area of the base is:
B = 5 · A₁ = 5 · a · h / 2
B = 5 · 4 · 2.75 / 2 = 27.5 in²
The volume of the prism is:
V = B · H = 27.5 · 3 = 82.5 in³
V = 82.5 in³
God is with you!!!
