Answer: 50653
37³ = (40 - 3)³ = 40³ - 3.40².3 + 3.40.3² - 3³
= 64000 - 14400 + 1080 - 27
= 50653
Step-by-step explanation:
Answer:
c = 13
m∡A = 60°
m∡B = 30°
Step-by-step explanation:
This is a 5-12-13 triangle. However, to make sure, I will put the steps.
Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:
a² + b² = c²
Plug in the corresponding numbers to the corresponding variables:
5² + 12² = c²
Simplify. First, solve the exponents, and then add:
(5²) = 5 * 5 = 25
(12²) = 12 * 12 = 144
25 + 144 = c²
c² = 169
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:
√c² = √169
c = √169 = √(13 * 13) = 13
c = 13
13 is your answer for c.
Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).
Answer:
3 Questions
Step-by-step explanation:
After MM students took a test, there was a total of 64% of correct answers.
The tests contained a total of 50 questions.
Number of questions gotten to score 64%= 64% X 50 = 32 questions
If the next student wants to score 70%, he has to score
70% of the total score = 70% X 50 = 35
Therefore the least number of question more the student has to get right
=35-32
= 3 questions
If the question is like this -5/4÷2/3/5 then the answer is -25/52
The error that Loren made is C. She should have solved 149 = StartFraction 19 Over 9 EndFraction (10) + b for b.
<h3>What is an equation?</h3>
It should be noted that an equation is a statement that shows that two mathematical expressions are equal.
In this case, for Loren to find the slope, this will be:
m = y2 - y1/x2 - x1
= (149 - 130)/(10 - 1)
= 19/9
In this case, the error that Loren made is that she should have solved 149 = StartFraction 19 Over 9 EndFraction (10) + b for b.
Learn more about equations on:
brainly.com/question/13763238
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