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hoa [83]
2 years ago
9

PLEASE HELP W THIS MATH QUESTION. correct answers only please​

Mathematics
1 answer:
bezimeni [28]2 years ago
7 0

The values of x are x₁ ≈ 4.8 and x₂ ≈ - 0.8.

<h3>What is the quadratic equation behind two circular sections of equal area?</h3>

Herein we have two <em>circular</em> sections of equal area, whose expressions are described by the following geometric equations:

Semicircle

A = 0.5π · x²     (1)

Half Semicircle

A = 0.25π · (x + 2)²      (2)

By equalizing (1) and (2):

0.5π · x² = 0.25π · (x + 2)²  

2 · x² = (x + 2)²  

2 · x² = x² + 4 · x + 4

x² - 4 · x - 4 = 0

x² - 4 · x + 4 = 8

(x - 2)² = 8

x - 2 = ±√8

x = 2 ± √8

x = 2 ± 2√2

x = 2 · (1 ± √2)

x = 2 · (1 ± 1.41)

x₁ = 2 · 2.41   ∨   x₂ = 2 · (- 0.41)

x₁ = 4.82   ∨   x₂ = - 0.82

The values of x are x₁ ≈ 4.8 and x₂ ≈ - 0.8.

To learn more on quadratic equations: brainly.com/question/17177510

#SPJ1

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Earth has a diameter of approximately 8,000 miles. If the circumference of a circle can be found using the formula C = πd, what
gladu [14]

Answer: Circumference of Earth= 25120 miles

Step-by-step explanation:

Given: The circumference of a circle can be found using the formula C = \pi d, where d= diameter of the circle.

Earth's diameter = 8000 miles (approx)

The circumference of circle = 3.14\times 8000  [substitute values in formula]

The circumference of circle = 25120 miles (approx)

Hence,  the circumference of Earth= 25120 miles (approx)

8 0
3 years ago
LAST ONE GUYSSS \small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Dete
svp [43]

Answer:

m\angle L = 111\degree \\m\angle M = 69\degree

Step-by-step explanation:

Since, angle L and angle M are supplementary.

\therefore m\angle L + m\angle M= 180\degree  \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree  \\ x =  \frac{165 \degree}{30}  \\ x = 5.5 \degree \\  \\ m\angle L  = 12x + 45  \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L  = 66 + 45 \\ \huge \red{ \boxed{ m\angle L  = 111 \degree}} \\  \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\

6 0
3 years ago
75+11(1777-S)=16,671
S_A_V [24]

Answer:

s = 268.27

Step-by-step explanation:

simplify: 75+19547-11s=16671

simplify more: 19622-11s=16671

subtract 19622 on both sides: -11s=-2951

divide both sides by -11: s=268.27

5 0
3 years ago
How do I evaluate:<br> (-1000)1/3
Gennadij [26K]

9514 1404 393

Answer:

  -10

Step-by-step explanation:

The first step is to write what you mean. We think you mean (-1000)^(1/3).

If you've been paying attention to place-value, and/or cubes of small integers, you already know that 10^3 = 1000. Since we're concerned with an odd power, we also know ...

  -1000 = (-10)^3

Then your expression is ...

  (-1000)^(1/3) = ((-10)^3)^(1/3) = (-10)^(3/3) = (-10)^1 = -10

__

Some calculators can evaluate this for you (see attached).

Some calculators and spreadsheets use logarithms to compute roots or fractional powers, so will give you an error when you try to compute this. You should know that an odd-index root of a negative number (here, 3rd root of -1000) has the same sign as the number: negative. Then you can use your calculator to compute the positive root and add the sign yourself:

  (-1000)^(1/3) = -(1000^(1/3)) = -(10) = -10

_____

Of course, a 1/3 power is the same as a cube root. Your calculator may have a cube root button that works just fine with negative numbers.

6 0
3 years ago
Solve the equation n/10 + 7 = 16
monitta
N=90 you have to simplify both sides then isolate the variable :)
3 0
3 years ago
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