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KIM [24]
4 years ago
11

From ground level to the tip of the torch the Statue of Liberty and its pedestal are 92.99 meters tall. The pedestal is 0.89 met

er taller than the statue. How tall is the Statue of Liberty?
Help by answering and showing work please.
Mathematics
1 answer:
Leno4ka [110]4 years ago
4 0
The Statue of Liberty and its pedestal are 92.99 meters tall. The pedestal is 0.89 meter taller than the statue. Let s represent the height of the Statue of Liberty. So, s + 0.89 represents the height of the pedestal. Equation: s + (s + 0.89) = 92.99 s + (s + 0.89) = 92.99 2s + 0.89 = 92.99 – 0.89 = – 0.89 2s = 92.10 s = 46.05 The Statue of Liberty is 46.05 meters tall.
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Answer:

Well, let's break it down.

Since calculating a triangle is like calculating a rectangle, then sawing it in half, we can correctly decide that the top and bottom right sections are both equal to twelve, adding up to 24.  Now for the other two, we can use another quick trick; by instead of adding the equal right triangles, you can skip the division and multiplication by two, leaving us with a square area of 16. 24 + 16 is 40, and since we are working with millimeters instead of meters, the answer must be D

tl/dr: D

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Step-by-step explanation:

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Big chickens: According to a poultry industry news website, the weights of broilers (commercially raised chickens) are approxima
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Answer:  Yes , it is unusual for a boiler to weigh more than 1550 grams .

Step-by-step explanation:

Given : Big chickens: According to a poultry industry news website, the weights of broilers (commercially raised chickens) are approximately normally distributed with mean(\mu) 1358 grams and standard deviation(\sigma) 161 grams.

When the probability that broiler weigh more than 1550 grams < 0.5 , then is unusual otherwise not.

Let x denotes the weight of broiler, then the probability that broiler weigh more than 1550 grams :-

P(x>1550)=1-P(x\leq1550)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{1550-1358}{161})\\\\\approx 1-P(z\leq1.19)\ \ [\because\ z=\dfrac{x-\mu}{\sigma}]\\\\=\\\\=1-0.8830\ \ [\text{By using z-table}]\\\\=0.117  

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6 0
4 years ago
Answer please I’m dying from math
charle [14.2K]

Answer:

\huge\boxed{\text{D)} \  15x^4 + 2x^3 - 8x^2 - 22x - 15}

Step-by-step explanation:

We can solve this multiplication of polynomials by understanding how to multiply these large terms.

To multiply two polynomials together, we must multiply each term by each term in the other polynomial. Each term should be multiplied by another one until it's multiplied by all of the terms in the other expression.

  • <em>We can do this by focusing on one term in the first polynomial and multiplying it by </em><em>all the terms</em><em> in the second polynomial. We'd then repeat this for the remaining terms in the second polynomial.</em>

Let's first start by multiplying the first term of the first polynomial, 3x^2, by all of the terms in the second polynomial. (5x^2+4x+5)

  • 3x^2 \cdot  5x^2 = 15x^4
  • 3x^2 \cdot 4x = 12x^3
  • 3x^2 \cdot 5 = 15x^2

Now, we can add up all these expressions to get the first part of our polynomial. Ordering by exponent, our expression is now

  • \displaystyle 15x^4 + 12x^3 + 15x^2

Now let's do the same with the second term (-2x) and the third term (-3).

  • -2x \cdot 5x^2 = -10x^3  
  • -2x \cdot 4x = -8x^2
  • -2x \cdot 5 = -10x
  • Adding on to our original expression: \displaystyle 15x^4 + 12x^3 - 10x^3 + 15x^2 - 8x^2 - 10x

  • -3 \cdot 5x^2 = -15x^2
  • -3 \cdot 4x = -12x
  • -3 \cdot 5 = -15
  • Adding on to our original expression: \displaystyle 15x^4 + 12x^3 - 10x^3 + 15x^2 - 8x^2 - 15x^2 - 10x - 12x - 15

Phew, that's one big polynomial! We can simplify it by combining like terms. We can combine terms that share the same exponent and combine them via their coefficients.

  • 12x^3 - 10x^3 = 2x^3
  • 15x^2 - 8x^2 - 15x^2 = -8x^2
  • -10x - 12x = -22x

This simplifies our expression down to 15x^4 + 2x^3 - 8x^2 - 22x - 15.

Hope this helped!

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