Answer:
The answer is C.
Step-by-step explanation:
i took the test
B. (9x^2 + 1)(9x^2 – 1)
C. (3x^2 + 1)^3(3x – 1)
D. (9x^2 + 1)(3x + 1)(3x – 1)
Using this: a²-b²=(a+b)(a-b)
81x^4-1=
(9x²)²-1=
(9x²-1)(9x²+1)= (in the bold half we use the formula again)
(3x+1)(3x-1)(9x²+1)
So the answer is D
The length of the other leg is __ in
The measures of the acute angles are : __ and __
General Idea:
By using the Pythagorean theorem which states that in a right triangle the sum of square of two legs is equal to the square of hypotenuse. We can find the length of the third side.
Given:
We can see shortest side a is 4 inches, hypotenuse is c is 8 inches and middle side is 4√3. This is quality of a special triangle. The smallest side (a) is opposite the smallest angle (30°), the middle side (b) is opposite the angle (60°) and the longest side (c) is opposite the largest angle (90°).
The triangle 30°-60° - 90° triangle will be of the ratio 1:√3:2.
Conclusion:
The length of the other leg is 4√3 in
The measures of the acute angles are : 30° and 60°
Answer: B
Step-by-step explanation:
9:5 is not equivalent to 5:9, 5 to 9, and 5/9
B( 20, 14, 28
C( 40, 30, 60
D( 17, 20, 25
The side lengths form a triangle that is similar to triangle ABC will be 30, 21, and 45. Option A is correct.
In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
It is found that the sides of the triangle are,
AB=10
BC=7
CA=15
In order for the triangle to similar the ratio of their sides is equal.
AB:BC: CA = 10:7:15
The ratio is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
AB:BC: CA = 10×3:7×3:15×3
AB:BC: CA =30, 21, 45
The ratio of the triangle for the given condition must be the same.
Thus, the side lengths that form a triangle that is similar to triangle ABC will be 30, 21, and 45. Option A is correct.
Learn more about the triangle here:
#SPJ2
A. 0.2
B. 7.2
C. 13
D. 14.2
2. Write an algebraic expression for " Julie runs three miles less than twice the number of miles, n, that Hannah runs."
A. 2 n -3
B. 3n -2
C. 2n + 3
D. 3n + 2
3. Solve 5s + 40 = 55 using number sense.
A. 3
B. 15
C. 19
D. 95
4. Translate "the sum of eight and the product of two and y is twenty-four" into an equation.
A. 8y - 2 = 24
B. 8y + 2 = 24
C. 8 + 2y = 24
D. 8 - 2y=24
PLEASE GIVE ME THE CORRECT ANSWERS THANKS!