Answer:
1/4 ; 3/8
Step-by-step explanation:
Probability of landing on 2 :
Required outcome = Number of 2's on spinner = 2
Total possible outcomes = Number of congruent spaces on spinner = 8
P(landing on a 2) = 2 / 8 = 1/4
Probability of landing on 1 :
Required outcome = Number of 1's on spinner = 3
Total possible outcomes = Number of congruent spaces on spinner = 8
P(landing on a 1) = 3 / 8
Landing in each section of the spinner is equally likely to occur as the spinner are divided into congruent spaces. However, landing on the labels of the spinner isn't equally likely as each label take up uneven number of congruent spaces on the spinner.
You can't make it proper.You can only simplify.
Step 1: Factor both the numerator and denominator down to prime factors:<span>62 = 2 * 31 </span>
40 = 23<span> * 5</span>Step 2: Calculate the greatest common factor, GCF (also called greatest common divisor, GCD), by taking all the common prime factors of the numerator and denominator, by the lowest powers:gcd(2 * 31; 23<span> * 5) = </span><span>2 </span>
Step 3: Divide both the numerator and denominator by their greatest common factor, GCF (also called the greatest common divisor, GCD):62/40 =
(2 * 31)/<span>(23 * 5)</span> =
<span>((2 * 31) : 2)</span> / <span>((23 * 5) : 2)</span> =
31/<span>(22 * 5)</span> =
31/20Step 4: Improper fraction, rewrite:<span>31 : 20 = 1 and remainder = 11 => </span>
31/20<span> = </span>(1 * 20 + 11)<span> / </span>20<span> = 1 + </span>11/20<span> = 1 </span>11/20<span> as a </span>mixed number (also called mixed fraction).<span>1 + 11 : 20 = 1.55 as a </span>decimal number<span>.</span>
the area in square feet is 4400. (because to find the area of the rectangle you multiply the 2 side lengths, 100 and 80 which gives you 8000, then you find the area of the square, multiply 60 by 60 which is 3600, then you subtract the total area of the backyard by the area taken up by the garden, 8000-3600, which gives you your total of 4400.)
Step-by-step explanation:
Given that
∆ABC is a right angled triangle
angle B = 90°
BC = 50 units
Hypotenuse (H) = AC
AC = 100 units
We know that
Cos A = Adjacent side to angle A / Hypotenuse
→Cos x = BC / AC
→Cos x = 50/100
→Cos x = 1/2
→Cos x = Cos 60°
.°. x = 60°
Hence, the value of “x” is 60°
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Points B, D, and F are midpoints of the sides of triangle ACE. EC = 38 and DF = 16. Find AC. The diagram is not to scale. For my answer I put 32 because df is p...
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<h3>
Answer: 20/29</h3>
Explanation:
This is because cosine is the ratio of adjacent over hypotenuse
cos(angle) = adjacent/hypotenuse
In this case, 20 is the adjacent side to the reference angle C. The hypotenuse is the longest side 29.