Given:
Given that ΔTUV is a right triangle. The measure of ∠V=90°, the measure of ∠U=55°, and VT = 82 feet.
We need to determine the length of TU.
Length of TU:
The length of TU can be determined using the trigonometric ratio.
Thus, we have;
where , and
Substituting the values, we get;
Simplifying, we get;
Rounding off to the nearest tenth, we get;
Thus, the length of TU is 100.1 feet.
B.4
C.2c
D.4c
2. How can the polynomial 6d^4+9d^3-12d^2 be factored l?
Answer:
1. C. 2c
2.
Step-by-step explanation:
A. We have been given an expression and we are asked to find the GCF of our given expression.
Let us find factors of each of our given terms.
Factors of are ,
Factors of are ,
We can see that c is the greatest common factor of , and .
Factors of 8 are: 1, 2, 4, 8.
Factors of 12 are: 1, 2, 3, 4, 6, 12.
Factors of 10 are: 1, 2, 5, 10.
The greatest common factor of 8,12 and 10 is 2.
So let us factor out 2c from our expression.
Therefore, the greatest common factor of our given expression is 2c and option C is the correct choice.
2. We have been given a polynomial and we are asked to factor our given polynomial.
We will pull out the greatest common factor of the terms of our given polynomial.
We can see that GCF of , and is .
The GCF of 6, 9 and 12 is 3.
So let us factor out from our polynomial.
Therefore, the factored form of our given polynomial is .
Answer:
h = 6
Step-by-step explanation:
Step 1: Distribute
7h + 15.75 = 57.75
Step 2: Subtract 15.75 on both sides
7h = 42
Step 3: Divide both sides by 7
h = 6