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Jobisdone [24]
3 years ago
13

How many persons are in the line? Ashley is in the line to buy a ticket. There are twice as many people in front of Ashley as th

ere are behind her. How many people are in the line, if Ashley is the 7th person ​
Mathematics
1 answer:
Klio2033 [76]3 years ago
4 0

Answer:

I am pretty sure there are 10 people in line.

Since Ashley is the seventh person in line, we can deduce that <u><em>there are 6 people in front of her</em></u>.

Since the amount of people in front of her is "twice as many people as there are behind her," we can divide the value of the people in front of her in half to get the value of people behind her.

6/2 is 3, so <em>there are </em><u><em>3 people behind Ashley</em></u><em>. </em>

Now, lets add the amount of people in front of Ashley to the amount of people behind her. 3 + 6 = 9, and since Ashley is also in the line, we should add 1 to the sum.

9 + 1 = 10, so <u><em>there are 10 people in the line</em></u>.

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What set of three numbers could represent the lengths of the side of a right triangle?
klemol [59]

Answer:

C.) 5, 12, 13

Step-by-step explanation:

In a right triangle, the sum of the squares of the two shorter sides must equal the square of the longest side (Pythagoras).

a² + b² = c²

We can test each set of numbers to see which one fits.

A.) 8² +  12² =   16²

    64 + 144 = 256

           208 ≠ 256

B.) 6² +  7² =  8²

   36 + 49 = 64

           85 ≠ 64

C.) 5² +  12² =   13²

    25 + 144 = 169

            169 = 169

The numbers 5, 12, and 13 could represent the lengths of the sides of a right triangle.

D.) 16² +    32² =    36²

   256 + 1024 = 1296

              1280 ≠ 1296

7 0
3 years ago
A 10 ft. tent pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 deg
GrogVix [38]
So you have a pole that is 10 feet tall that has a rope that goes from the top to the ground, the rope being 30 degrees to the ground... You can draw a right triangle using these dimensions. Now that you have a triangle, you look at where your 30degree angle is related to the side whose length you know and the side whose length you wish to find. The side you know is opposite from the 30 degrees while the side you want to find is the hypotenuse, for it goes down at an angle. You will use the opposite and hypotenuse sides, so, according to SOH CAH TOA, you will be using sin.
\frac{opposite}{hypotenuse}=sin\theta,\theta=30,opposite=10,hypotenuse=?
plug in those values and solve for your hypotenuse.
The easiest way to do this is if you knew the identities for special right triangles like the 30 60 90 triangles or the 45 45 90 triangles, but I showed you how to solve for your sides even if they're not special
6 0
3 years ago
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Find the volume of the prism. Round to the nearest tenth if necessary.
spayn [35]

Answer:

27.2

Step-by-step explanation:

V = (1/2)(2.6)(5.1)(4.1), which is 27.2 to the nearest tenth

8 0
2 years ago
A food manufacturer donates money to schools based on the number
VashaNatasha [74]

Answer:

5x=2100

x=2100/5

= 420

Step-by-step explanation:

8 0
3 years ago
Pls I need help thank you
Ket [755]

Answer:

3rd one

hope this will help you

7 0
3 years ago
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