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blagie [28]
3 years ago
12

If the length of the longest side of a right triangle is 10 inches is 60 degrees, what is the length (in inches) of the shortest

side?
My answer is 5
Is that right?
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
6 0
Yep 5 is correct! Good job
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Find the distance between the pair of parallel lines, y = x-11 & y = x-7
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k:\ y = x-11\ \ \ \Leftrightarrow\ \ \ x-y-11=0\\ and\\ l:\ y = x-7\ \ \ \Leftrightarrow\ \ \ x-y-7=0\\\\the\ distance:\\\\ d(k;l)= \frac{\big{|-11-(-7)|}}{\big{ \sqrt{1^2+1^2} }} =\frac{\big{|-11+7|}}{\big{ \sqrt{2} }} =\frac{\big{|-4|}}{\big{ \sqrt{2} }} =\frac{\big{4\cdot \sqrt{2} }}{\big{ \sqrt{2}\cdot \sqrt{2}  }} =\frac{\big{4 \sqrt{2} }}{\big{2 }} =2 \sqrt{2}
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Daryl has a total of 160 National Football League (NFL) trading cards from both the American Football Conference (AFC) and the N
Svet_ta [14]

Answer:

B

Step-by-step explanation:

Since A represents the number of AFC cars and N represents the number of NFC cards, and that Daryl has 160 total cards, then A+N = 160, the total number of cards. Furthermore, the number of AFC cards Daryl has is 8 more than 3 times the number of NFC cards, so A would be equal to 8 + 3N, or A = 3N + 8. The only system of equations with both of these correct equations is B.

4 0
3 years ago
Solve 4e^2x-3=12 please help
Anestetic [448]

4*e^{2x} -3 = 12

Step 1:

Here we have -3 in subtraction on the left side, so when we take it to the right we apply opposite operation of subtraction that is addition.

4*e^{2x} = 12+3

4*e^{2x} = 15

Step 2:

Next we have 4 in multiplication on left side, so dividing right side by 4,

e^{2x} = 15/4

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Step 3:

taking log on both sides

ln ( e^{2x}) = ln(3.75)

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Step 4:

Dividing right side by 2,

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