Answer:
32
Step-by-step explanation:
V=r^2
5120=x20
5120/20 = 256
=16
16+16 ( 16x2) = 32
32in.
10–25 years 10 5 20 35
26–40 years 15 10 10 35
41–55 years 20 10 0 30
Total 45 25 30 100
What is the probability (rounded to the nearest whole percent) that a randomly selected person is 10 to 25 years old or prefers drinking rootbeer?
60%
55%
10%
5%
Four times the difference of eight and a number:
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
According to the 30°-60°-90° triangle theorem:
Side opposite to 30° is half of hypotenuse and side opposite to 60° is times of hypotenuse.
In the given figure:
side s is opposite to 30° angle.
side q is opposite to 60° angle.
x2 – 8x – 20 A) (x – 5)(x + 4)
x2 + 8x – 20 B) (x – 10)(x + 2)
x2 – x – 20 C) Prime
x2 – 9x – 20 D) (x – 2)(x + 10)
Answer:
Step-by-step explanation:
The given equation is:
Simplifying the above equation, we get
therefore, the equation matches with (B) .
The given equation is :
Simplifying the above equation, we get
therefore, the equation matches with (D)
The given equation is:
Simplifying the above equation, we get
therefore, the equation matches with (A) .
The given equation is:
This equation ca't be firther simplified or factorised, thus the equation matches with (C) Prime.
the correct matches for the polynomials are:
A) (x – 5)(x + 4) matches with x^2 – x – 20.
B) (x – 10)(x + 2) matches with x^2 + 8x – 20.
C) Prime does not match any of the given terms.
D) (x – 2)(x + 10) matches with x^2 – 9x – 20.
Let's factor each trinomial and match them with their factored forms:
x² – 8x – 20:
To factor this trinomial, we need to find two numbers that multiply to give -20 and add up to -8. The numbers that satisfy these conditions are -10 and 2. Therefore, the factored form is (x – 10)(x + 2). Match: A.
x² + 8x – 20:
For this trinomial, we once again look for two numbers that multiply to give -20 and add up to 8. The numbers are -2 and 10. Hence, the factored form is (x – 2)(x + 10). Match: D.
x² – x – 20:
Here, we seek two numbers that multiply to give -20 and add up to -1. The numbers -5 and 4 satisfy these conditions. Thus, the factored form is (x – 5)(x + 4). Match: A.
x² – 9x – 20:
Similar to the previous trinomials, we search for two numbers that multiply to give -20 and add up to -9. The numbers are -10 and 1. So, the factored form is (x – 10)(x + 1). Match: B.
Matching the terms with their factored forms:
A) (x – 5)(x + 4) matches with x² – x – 20.
B) (x – 10)(x + 2) matches with x² + 8x – 20.
C) Prime does not match any of the given terms.
D) (x – 2)(x + 10) matches with x² – 9x – 20.
Therefore, the correct matches are:
A) (x – 5)(x + 4) matches with x² – x – 20.
B) (x – 10)(x + 2) matches with x² + 8x – 20.
C) Prime does not match any of the given terms.
D) (x – 2)(x + 10) matches with x² – 9x – 20.
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3(x + 5) - 2(x + 2) = 20