Is there any guide or institutions on how to do it?
Step-by-step explanation:
price difference= $45-$36
=$9
now,
x% of $45=$9
or, x/100 ×45 =9
or, x/20 ×9=9
or, x/20=1
therefore, x= 20%
Answer: Angle A is 115 degrees
Step-by-step explanation:
In triangle ABC, the measure of angle A is seven more than four times measure of angle B. This means that
Angle A = 4(Angle B) + 7
The measure of angle C is eleven more than measure of angle B. This means that
Angle C = Angle B + 11.
The equations are
A = 4B + 7 - - - - - - - - 1
C = B + 11 - - - - - - - - - - 2
Recall that the sum of the angles in a triangle is 180 degrees. This means that
A + B + C = 180 degrees
Substituting equation 1 and equation 2 into A + B + C = 180, it becomes
4B + 7 + B + B + 11 = 180
6B + 18 = 180
6B = 180 - 18 = 162
B = 162/6 = 27 degrees
Substituting B = 27 into equation 1, it becomes
A = 4×27 + 7 = 108 +7
A = 115 degrees
Substituting B = 27 into equation 2, it becomes
C = 27 + 11
C = 38 degrees
Sum of the angles is 115 + 27 + 38 = 180
Answer:
The least common multiple of 6, 15 and 40 is <u>120</u>.
The least common multiple of 32, 48 and 72 is <u>288</u><u>.</u>
The LCM of 20 and 24 is <u>120</u>.<em> </em>
The LCM of 30 and 90 is <u>90</u>.
The LCM of 150 is <u>900</u>.
Step-by-step explanation:
<u>Steps to find LCM</u>
- Find the prime factorization of 150. 150 = 2 × 3 × 5 × 5.
- Find the prime factorization of 180. 180 = 2 × 2 × 3 × 3 × 5.
- LCM = 2 × 2 × 3 × 3 × 5 × 5.
- LCM = 900.
Answer:
a) This probability as empirical Probability.
b) This probability is not accurate because this experiment must be repeated a large number of times for empirical probabilities should be accurate.
Step-by-step explanation:
On 6 occasions, of which three times the train was late. that means 3 times the train is on time.
Empirical probability = Number of outcomes satisfying event / No.of trails
= 3/6 = 0.5.
a) This probability as empirical Probability.
b) This probability is not accurate because this experiment should be repeated a large number of times for empirical probabilities should be accurate.
