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Makovka662 [10]
3 years ago
12

Write four hundred seven trillion six million one hundred five thousand twenty eight in standard form

Mathematics
2 answers:
garri49 [273]3 years ago
7 0
407,600,105,028

Standard form is the basic form in numbers so basically you take the words and put them into numbers
Ratling [72]3 years ago
4 0
Standard form would be
.407600105028
Hope this helps
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A telephone pole has a wire attached to its top that is anchored to the ground. the distance from the bottom of the pole to the
kirza4 [7]

The height of the pole is 96 feet

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the legs a, b and the hypotenuse c, often called the Pythagorean equation:[1]

a^{2}+b^{2}=c^{2},

Create a diagram of the scenario first. You would have a right triangle with a hypotenuse (longest side) of h + 4, a longest leg of h - 68, and one leg of length h to represent the pole.

Set up the equation h^2 + (h - 68)^2 = (h + 4)^2 using the Pythagorean theorem (a^2 + b^2 = c^2).

h^2 + (h - 68)^2 = (h + 4)^2

On simplifying we get

h^2+h^2-136h+4624 = h^2+8h+16

2h^2-136h+4624=h^2+8h+16

h^2-144h+4608=0

Solving using quadratic formula

h_{1,\:2}=\frac{-\left(-144\right)\pm \sqrt{\left(-144\right)^2-4\cdot \:1\cdot \:4608}}{2\cdot \:1}  

h_1=\frac{-\left(-144\right)+48}{2\cdot \:1},\:h_2=\frac{-\left(-144\right)-48}{2\cdot \:1}

h1 = 96 feet , h2 = 48 feet

If height would have been 48 feet then the other side would have a negative value as as 48 - 68 = -20 .

Hence the height of the pole is 96 feet

Learn more about Pythagoras theorem here :

brainly.com/question/343682

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2 years ago
Joe ordered 300 notebooks for the school store. He received
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30 notebooks, 300 notebooks divided by 10 = 30
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Find the length of the arc on a circle with the radius of 2.4 km and is intercepted by a central angle measuring 150°. Leave you
djverab [1.8K]

Formula to find the arc length is:

s=\frac{\theta}{360} 2\pi r

Where, s= arc length,

r = radius of the circle

\theta = central angle in degrees.

According to the given problem, \theta= 150 and r =2.4.

So, first step is to plug in these values in the above formula to get the arc length.

s=\frac{150}{360} *2\pi *2.4

=\frac{5}{12} *2\pi *2.4

=0.41667*2\pi *2.4

=2\pi

So, arc length is 2\pi.

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3 years ago
8 is subtracted from twice a number
ankoles [38]

Answer:

2x-8

Step-by-step explanation:

The word "from" tells you that the first part of the sentence should be at the back of the equation because you're taking from the product of 2 times a number, the number is unknown so it is known as "x."

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