You didn't provide more information regarding triangle but from given options, it seems that triangle has ratio from shortest side to longest side would be 5 : 12 : 13
So 13 would be hypotenuse since it is longest.
Now A cannot be right angle because tangent is not defined at 90°.
Also tan(A) would be ratio of opponent side to adjacent side (think SOH CAH TOA)
So either opposite side would be 5 or 12, and adjacent side would be 12 or 5 respectively.
So the answer is either 5 / 12 or 12 / 5 but only option provided is 12/5 so that would be your answer.
Final answer: 12 / 5
Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5) [now distribute]
0=x²-56x+70 [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:
x=<u>-b+/-√(b²-4ac)</u>
2a
a=1, b=(-56), c=70
x= <u>-(-56)+/- √((-56)²-4(1)(70)</u>
2(1)
x= <u>56+/- √(3136-280)
</u> 2
<u />x=<u>56+/-√(2856)</u>
2
x=<u>56+/-√(2³·3·119)</u>
2
x=<u>56+/-2√(714)</u>
2
x=28+√714; x=28-√714
Answer
x=10
Step by step explanation:
It is a dilation to you would divide the known sides with each other.
8/2=4
16/4=4
So, you would then multiply 2.5 by 4 which would get you 10
preetty sure this is it, if its wrong then im sorry
The answer to your question is 2 hope this helps!
Answer:
Option C = 335.5 in²
Step-by-step explanation:
Area of triangle = (1/2)×b×h
= (1/2)×a×a
= (1/2)×11×11
=60.5 in²
Area of rectangle = l×b
= b×a
= 25×11
= 275 in²
Area of pencil = Area of triangle + Area of rectangle
=60.5 + 275
335.5 in²
