The answer is 3 + √5 and 3 - √5.
This is quadratic equation: x²
- 6x +
4 = 0
The general quadratic equation is ax² +
bx +
c = 0
Our equation can be rewritten: 1x² + (-6)x + 4 = 0
So, in our equation we have: a = 1, b = -6, c = 4
Now, x can be calculated using the formula:
From here:
Answer:
6.28 gallons
Step-by-step explanation:
first we need to find the area of a half sphere, and then find how much paint will be needed for that area.
The area of a sphere:
thus, the area of half a sphere is:
we know that the radius is:
we substitute this to find the area of the half sphere (the area they need to paint):
now the question is how many gallons of paint are needed to paint 2,513.27 square feet.
We are told that 1 gallon covers 400 square feet
thus, we must divide 2,513.27 by 400:
6.28 gallons of paint are needed.
The simplified expression of (-5m⁷n⁰p⁵)(2m⁴n³p²)³ / -4m⁹n³p²y is 10m¹⁰n⁶p⁹ / y
<h3>How to simplify an expression?</h3>
The expression can be simplified as follows:
using indices law,
aˣ × aⁿ = aˣ⁺ⁿ
aˣ ÷ aⁿ = aˣ⁻ⁿ
Therefore,
(-5m⁷n⁰p⁵)(2m⁴n³p²)³ / -4m⁹n³p²y
Hence,
note
n⁰ = 1
(-5m⁷n⁰p⁵)(8m¹²n⁹p⁶) / -4m⁹n³p²y
Therefore,
-40m⁷⁺¹²n⁹p⁵⁺⁶ / -4m⁹n³p²y
Hence,
-40m¹⁹n⁹p¹¹ / -4m⁹n³p²y
10m¹⁹⁻⁹n⁹⁻³p¹¹⁻²y⁻¹
Hence,
10m¹⁰n⁶p⁹ / y
learn more on simplification here: brainly.com/question/17579585
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Answer:
p=a+3 okkkkkkkkkkkkkkkkkkkkk
Answer:
BC = 4.7
Step-by-step explanation:
From the question given above, the following data were:
Angle A = 21 °
Hypothenus = AC = 13
Opposite = BC =?
The length of BC can be obtained by using sine ratio as illustrated below:
Sine A = Opposite /Hypothenus
Sine 21 = BC / 13
0.3584 = BC / 13
Cross multiply
BC = 0.3584 × 13
BC = 4.7
Thus, the length of BC is 4.7
