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Yuliya22 [10]
3 years ago
6

The triangle below is equilateral. Find the length of side x x to the nearest tenth.

Mathematics
1 answer:
leonid [27]3 years ago
6 0

Step-by-step explanation:

it's an equilateral triangle so all sides are equal

using Pythagorean theorem

2(√6) raised to the power of 2 = √6 raised to the power of 2 + x raised to the power of 2

2(√6) raised to the power of 2 is 12

√6 raised to the power of 2 is 6

therefore 12=6 + x

x = 12-6

x=6

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Answer:

418.69 usd

Step-by-step explanation:

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3 years ago
Which two integers is 115 between?
Lady_Fox [76]

<em><u>Answer:</u></em>

115 is between 114 and 116 because they are the integers that are directly bigger than 115 and smaller than 115.

8 0
3 years ago
Emily wants to watch her intake of fat per day.
AfilCa [17]

Answer:

One variable equation that is (4800/x) represents percentage of Emily's dinner fat intake compared to total daily allowance of x gram.

Step-by-step explanation:

lets assume the variable for total daily allowance

lets say total daily allowance of fat = x grams

Fat consumed at dinner = 48 grams

Fat consumed at dinner in percentage = (Fat consumed at dinner/total daily allowance of fat) × 100

= (48 grams/x grams)×100=(4800/x)%

so (4800/x)%  

So one variable equation that is (4800/x) represents percentage of Emily's dinner fat intake compared to total daily allowance of x gram.

lets take one example

lets says total daily allowance of fat for Emily = 100gm

so from derived equation that is 4800/x , we can get required percentage by putting x =  total daily allowance of fat = 100gm

=4800/100 = 48%.

you can change value of variable x according to total daily allowance and get the required dinner intake percentage by equation 4800/x.


6 0
3 years ago
Use the graph below to estimate the solution to the system of equations shown.
Mila [183]

Answer: The second choice is answer.

Step-by-step explanation:

<h3>The first line (Blue One)</h3>

y=-x-3 (Slope is -1 and intercepts y at -3)

<h3>The second one (Red One)</h3>

y=2x-8 (Slope is 2, to find y-intercept. Substitute x = 0 then we get -8) (For x-intercept, it's 4. Just substitute y=0 to get x-intercept.)

Because there are choices, it's easy to notice.

The first one, x = -4 and almost -5 which is not right. (x is around 1 almost 2.)

The second one, x = 1 and almost 2 is right.

The third one, x = -1 and almost -2 is not right (The intersection isn't even at -1 or any negative number for x-axis.)

The fourth one, just like the first one... x = 4 almost 5

<h3>Or solve the equations.</h3>

y=-x-3\\y=2x-8

Substitute y=2x-8 in y=-x-3

2x-8=-x-3\\2x-8+x+3=0\\3x-5=0\\3x=5\\x=\frac{5}{3}\\(x=1\frac{2}{3})

Look at the value of x then find the answer that matches the value of x.

Now for y, substitute x = 5/3 in y = -x-3 (or in 2x-8 if you want.)

y=-\frac{5}{3} -3\\y=-\frac{5}{3} -\frac{9}{3} \\y=-\frac{14}{3} \\(y=-4\frac{2}{3} )

So the answer is the second choice.

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3 years ago
Steve has overdrawn his checking account by 27$. His bank account charged him 15$ for an overdraft fee. Then he quickly deposite
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