Circle B has an area of 675 sq meters. What is the diameter of Circle B.
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Answer:
675= 3.14× r²
r²= 675/ 3.14
r²=214.968
radius=14.66 meters
diameter= 2× radius
diameter= 2× 14.66
diameter = 29.32 meters
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Please help asap 20 pts
Hailey ran a few laps. D(n) models the duration (in seconds) of the time it took for Hailey to run her n lap. When did her lap duration increase
Which expression correctly represents the product 12(8 5) after applying the distributive property?
Is 127 rational or irrational
Answers
The values of a, b, and c needed to write given quadratic equation in its general form: a = 1/4 , b = 0 and c = 5
What is an equation?
"It is a mathematical statement which consists of equal symbol between two mathematical statements."
What is a quadratic equation?
"A polynomial equation of degree 2 is a quadratic equation."
For given question,
We have been given a quadratic equation 1/4x² + 5 = 0
We know that the general for of quadratic equation is ax² + bx + c = 0
where a, b, c are real numbers with a ≠ 0.
We need to write given quadratic equation in the standard form and find the corresponding value for a, b, and c.
Comparing given quadratic equation with the general form of quadratic equation we have,
a = 1/4 , b = 0 and c = 5
Therefore, the values of a, b, and c needed to write given quadratic equation in its general form: a = 1/4 , b = 0 and c = 5
Learn more about the equation here:
#SPJ2
Answers
y just happens to be -8
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Answer:
6 cm
Step-by-step explanation:
I don't know may I use the trigonometry functions, therefor I'm going to use Pythagorean theorem and property of 30°-60°-90° triangle.
m∠ACB = 120° ⇒ m∠ACD = 60° ⇒ m∠DAC = 30°
DC is opposite to 30° angle ⇒ AC = CB = 8 cm
From ΔADC: AD² = 64 - 16 = 48 ; AD = 4√3 cm
ΔACB is isosceles ⇒ m∠CAB = m∠CBA = 30°
m∠DAH = m∠DAC + m∠CBA = 2(30°) = 60° ⇒ m∠ADH = 30° ⇒ AH = 4√3 ÷ 2 = 2√3 cm
From ΔADH: DH = = √36 = 6 cm
b. 0.64
c. 0.62
d. 0.75
e. 0.48
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Answers
Answers
Answer:
(2x - 3a³) ,(2x + 3a³)
Step-by-step explanation:
Given that
4x^2-9a^6
As we know that
x² - y² = ( x+y)(x-y)
So
4x^2-9a^6 = (2x)² - (3a³)²
By using the above formula
x² - y² = ( x+y)(x-y)
4x^2-9a^6 = (2x)² - (3a³)²
4x^2-9a^6 = (2x - 3a³) (2x + 3a³)
So the factor is (2x - 3a³) ,(2x + 3a³)
To verify
Multiple both factors
(2x - 3a³) (2x + 3a³) = 2x .2x -2x . 3a³ + 3a³ . 2x - 3a³. 3a³
=4x² - 9 a ⁶