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garri49 [273]
3 years ago
13

Michelle wants to determine the height of the flag pole outside of her school. She places a meter stick next to the flag pole an

d measures the shadow of the meter stick and the flag pole. If the meter stick has a shadow of 140 centimeters and the flag pole has a shadow of 35 meters, then how tall is the flag pole?
A.
25 meters
B.
12.5 meters
C.
250 meters
D.
400 meters

Mathematics
1 answer:
mario62 [17]3 years ago
8 0

Answer:

A

Step-by-step explanation:

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52 < x + 24? how do i work this?
Lostsunrise [7]

Answer: 28

Step-by-step explanation:

52

Begin by isolating x. To do this, you can substract 24 on both sides.

-24+52

28

That's your answer. Any value of ''x'' must be greater than 28 for this inequality to be true.

6 0
2 years ago
Solve each inequality -3x<12
Vlad1618 [11]

Answer:

-3x<12

/-3  /-3

x<-4

Step-by-step explanation:

5 0
3 years ago
Find the distance between points P(8,1) and Q(1,6) to the nearest tenth
Ronch [10]
1 - 8 = - 7
6 - 1 = 5

Let us use the Pythagorean theorem:

c^2 = (-7)^2 + 5^2 = 49 + 25 = 74 -> c = 8.6
5 0
2 years ago
How can you determine if a square root is completely simplified?
ycow [4]

Answer:

It cannot be divided by any number and equal a whole number.

Step-by-step explanation:

Okay, so I'm going to give an example of the simplifying process.

\sqrt{243}

If you were to just type this in to a calculator you would get 15.58 and so on, so that means we have to just simplify instead of solving for accuracy purposes.

So take 243 and divide it by a number that can go into it equally. I'm going use 3. When you do that you get 81. Usually when I do this I draw it out to better see it, so I'm going to try for you. The 3 is prime so we can't simplify that term anymore, but you can still simplify the 81, so that is what we do next. I'm going to use 3 to make it easier in the end results. Notice 3 is prime but 27 still is not, so we repeat this process again. I'm gonna stick with 3. Now simplify the 9.

                 243

3                                     81

                                3            27

                                           3      9

                                                  3    3

For every pair of number we have that are the same we get to put one outside the sqareroot sign (I know that sounds confusing). Start by listing them like this.

3 x 3 x 3 x 3 x 3

Now organize into groups of two.

(3x3)(3x3)(3)   Notice we have two groups that are paired. This means we can take two 3's and bring them outside the squareroot sign. Like this

3x3\sqrt{3}  

9\sqrt{3}

The lone 3 just goes back in the squareroot. once you can't find a number to divide the number inside the sign by you have simplified the expression completely. Hope that makes some sense

5 0
2 years ago
What’s the axis of symmetry and the vertex of x^2-4x-32
konstantin123 [22]
<span>x^2 -4x -32
</span>a =1b= -4c= -32
The x,y points of the vertex are usually referred to as Vertex = (h, k)where h = -b / (2 * a)
h = --4 / (2 * 1)h = 4 / 2h = 2
k = ah^2 +bh + ck =1*4 -4*2 -32k = 4 -8 -32k = -36
vertex = (2, -36)axis of symmetry = x position = 2
Source:http://www.1728.org/quadr3.htm

6 0
3 years ago
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