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Troyanec [42]
2 years ago
15

What is the product of (8.8 × 106)(5 × 102)?

Mathematics
1 answer:
Serhud [2]2 years ago
7 0

(8.8 × 106)(5 × 102)

= (932.8)(510)

= 475,728

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You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th
Pachacha [2.7K]
Solving this problem needs the distance formula of point to a line.

The formula is:

distance = | a x + b y + c | / √  (a^2 + b^2)

 
So we are given the equation: y = 2 x + 4

Rewriting this would be: y – 2 x – 4 = 0 ->  a = -2, b = 1, c = -4

 We are also given the points:

(-4, 11) = (x, y)

 Plugging it in the distance formula at points (x, y):

distance = | -2 * -4 + 1 * 11 + -4 | / √ [(- 2)^2 + (1)^2]

= 15 / √ (5)

= 6.7

 So the tree is approximately 6.7 feet away from the zip line.
4 0
2 years ago
Math your class is holding elections to choose a leadership committee of 4 students. if there are 30 students in the class, how
inessss [21]
That would be 30C4  - combinations of 4 from 30.



= 30*29*28*27       
   ----------------  =  27,405  Answer 
   4 * 3 * 2 * 1
7 0
2 years ago
The 2000 U.S. Census reports the populations of Bozeman, Montana, as 27,509 and Butte, Montana, as 32,370. Since the 1990 census
Nitella [24]
If the increase is x% per year, the multiplier each year is 1+x (expressed as a decimal).

Bozeman = 27,509·1.0196^t
Butte = 32,370·0.9971^t

where t is the number of years after 1990.
3 0
2 years ago
Read 2 more answers
Each beehives on Larson’s honey farm usually produces 85lbs of honey per year. About how many pounds of honey will 10,000 hives
schepotkina [342]

If one of Larson's beehives produces 85lbs of honey, you need to multiply it with the given number of hives, which is 10,000.


So: 85 * 10,000 = 850,000lbs

8 0
2 years ago
The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.
Musya8 [376]

Answer:

A cone with base radius of 17 in

Step-by-step explanation:

Given

Triangle ABC

Where

AB = BC = 24in

D = Midpoint of AC

Required

Which best describes the resulting three-dimensional figure?

First, the length of the third side of the triangle has to be calculated

The sides of triangle ABC are AB, AC and BC

Given that the perimeter = 82 in

AB + AC + BC = 82

Recall that AB = BC = 24in; The equation becomes

24 + AC + 24 = 82

Collect like terms

AC = 82 - 24 - 24\\AC = 34

Given that, the triangle is rotated at D, the midpoint of AC

The length of the midpoint has to be calculated

D = \frac{1}{2}AC

D = \frac{1}{2} * 34

D = \frac{34}{2}

D = 17

At this point, we can dismiss options C and D.

This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.

So, we have option A and B to select from.

When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.

This implies that, a cone with base radius D is generated.

Recall that D = 17.

Hence, <em>A cone with base radius of 17 in</em>

7 0
2 years ago
Read 2 more answers
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