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sergiy2304 [10]
3 years ago
7

Look at the figure. A 10 foot tall flagpole cast a shadow that is 24 feet long what is the approximate length of the shadow cast

by a 24 foot tall pole at the same time

Mathematics
1 answer:
masya89 [10]3 years ago
7 0
Approx 60 feet see pic for work

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Using the formula c=2r, find the circumference with diameter of 28inches. Round your answer to the nearest inch.
Furkat [3]

Radius is equal to 1/2 the diameter. The radius is 14 (28/2=14)

With your formula:

c=2*14

c=28

HOWEVER I believe you meant

c=2(pi)r

In which

c=2(pi)14

c=28(pi)

In this instance for pi we can use 3.14 since we will be rounding anyway, so

c=28*3.14

c=87.92

Rounded to be

c=88

Note:

If we didn’t round pi out to 3.14 we would have gotten 87.964594...

5 0
3 years ago
Solve quadratic equation by square roots method 2x^2-18=0
Brilliant_brown [7]

Answer:

x = 3 and x = -3 (aka. x = ±3)

Step-by-step explanation:

2x² - 18 = 0

x² - 9 = 0

x² = 9

x = ±3

Therefore, x = 3 and x = -3

6 0
2 years ago
I need help with this
Digiron [165]

9514 1404 393

Answer:

  B.  3x^2 +11x -20 = 0

Step-by-step explanation:

For solutions p and q, the quadratic will be

  (x -p)(x -q) = 0

We notice that the leading coefficients of the offered answer choices are greater than 1, so it will be convenient to use a value that "clears fractions."

  (x -4/3)(x -(-5)) = 0

  3(x -4/3)(x +5) = 0 . . . . multiply by 3 to clear the fraction

  (3x -4)(x +5) = 0 . . . . . . clear the fraction

  3x(x +5) -4(x +5) = 0 . . use the distributive property

  3x^2 +15x -4x -20 = 0 . . . . use the distributive property again

  3x^2 +11x -20 = 0 . . . . collect terms

_____

The constant in the product of factors is the product of roots:

  (x -p)(x -q) = x^2 -(p+q)x +pq

Here, that would mean the constant would be (4/3)(-5) = -20/3.

If we compare the above quadratic to the standard form:

  ax^2 +bx +c = 0

we find that we can divide the standard form equation by 'a' to get ...

  pq = c/a

That is, c/a = -20/3, so we might start looking for an answer choice that has a leading coefficient of a=3 and a constant of c=-20.

5 0
3 years ago
(-8,-2);m=3/4 in point slope form
3241004551 [841]

Answer:

<h2>          y + 2 = ³/₄(x + 8)</h2>

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of <em>m</em> and containing the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = ³/₄

(-8, -2)  ⇒    x₀ = -8,  y₀ = -2

Therefore:

y - (-2) = ³/₄(x - (-8))

y + 2 = ³/₄(x + 8)

4 0
3 years ago
June and Jimmy the same age. June is 36 inches tall and Jimmy is 24 inches tall. If June grow 6 inches per year in Jimmy is 9 in
ohaa [14]

Answer:

4 more years, then June and Jimmy will both be 60 inches tall.

Step-by-step explanation:

I just kept adding 6 to June's 36 inches, while adding 9 to Jimmy's 24 inches at the same time, until they both landed on the same number.

8 0
3 years ago
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