Answer:
A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square. Obtain the digital root of the number. The digital root essentially is the sum of all of the digits.
Step-by-step explanation:
hope this helps you super sorry if it does not
Answer:
the value of x = -3
Step-by-step explanation:
10 (x-5) = -80
10x - 50 = -80
10x = -30
x = -3
CHECK:
10 ( -3 - 5) = -80
10 (-8) = -80
-80 = -80
33.
We have an isosceles triangle, which means that two of the sides of the triangle are equals, the same is with the angles
side LM= side MN
angle L =angle N
Also we need to remember that the sum of the interior angles of a triangles is 180°
angle M=120
angle N=x
angle L=x
120+x+x=180
2x=180-120
2x=60
x=60/2
x=30
m < M =120°
m< N=30°
Answer: There are 126 red key chains.
Step-by-step explanation:
1. You know that 10% are yellow, then:
350*0.1=35 (35 key chains are yellow).
2. And you know that of the remaining key chains 3/5 there are green.
The remaining is:
350-35=315
Then:
325*3/5=189 (189 key chains are green).
3. Then, the number of key chains that are red is:
350-35-189=126 (126 key chains are red).
<h3>
Answer: A. 18*sqrt(3)</h3>
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Explanation:
We'll need the tangent rule
tan(angle) = opposite/adjacent
tan(R) = TH/HR
tan(30) = TH/54
sqrt(3)/3 = TH/54 ... use the unit circle
54*sqrt(3)/3 = TH .... multiply both sides by 54
(54/3)*sqrt(3) = TH
18*sqrt(3) = TH
TH = 18*sqrt(3) which points to <u>choice A</u> as the final answer
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An alternative method:
Triangle THR is a 30-60-90 triangle.
Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.
The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.
Now use the pythagorean theorem
a^2 + b^2 = c^2
(TH)^2 + (HR)^2 = (TR)^2
(x)^2 + (54)^2 = (2x)^2
x^2 + 2916 = 4x^2
2916 = 4x^2 - x^2
3x^2 = 2916
x^2 = 2916/3
x^2 = 972
x = sqrt(972)
x = sqrt(324*3)
x = sqrt(324)*sqrt(3)
x = 18*sqrt(3) which is the length of TH.
A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.