Answer:
The third side =4
Step-by-step explanation:
Answer:
b= -1/5
Step-by-step explanation:
Though a variable's sign changes when it is multiplied by -1, its absolute value does not. Therefore, we can eliminate the 1:
1/5+b=0
b+1-1/5=0-1/5
b+0/5= 0 -1/5
b=0 -1/5
and you have b= -1/5 as your answer
The distance between points M and N according to the task content is; 9.8 meters.
<h3>What is the distance between points M and N?</h3>
From observation of the task content information; it can be deduced for a fact that the line segment MN which joins points M and N is parallel to the line JK. This follows from the fact that M and N are midpoints KL and JL respectively.
Hence, it follows that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality;
NM/19.6 = 7.4/(2×7.4)
NM = 19.6/2 = 9.8 meters.
This follows from congruence theorems in which case, the ratio of corresponding sides of congruent triangles are equal.
Read more on congruent triangles;
brainly.com/question/1675117
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Since a sphere's surface area is 4πr², we then need to find r as a function of time t, which is 9t (since it increases by 9 every second)+0 (the initial value)=9t. Plugging it in, we get 4π(9t)²=4π*36t²=144πt²
Question 1:
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Total points = 100
Total question = 40
Type of questions : 2-points question and 4-points questions
Assumed all 40 questions are 2-points questions.
Total points = 40 x 2 = 80
Difference in points = 100 - 80 = 20 points
Difference in the 2 type of questions = 4 - 2 = 2
Number of 4 marks questions = 20 ÷ 2 = 10
Number of 2 marks questions = 40 - 10 = 30
Answer: There are 10 4-marks questions and 30 2-marks questions.
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Question 2:
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Let x be the number of offices you need to clean.
Total cost = 315 + 4x
Total revenue = 25x
To break even,
315 + 4x = 25x
21x = 315
x = 15
Answer: You need to clean 15 offices to break even.
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Question 3:
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Total distance (including return trip) = 255 + 255 = 510 miles
Total time taken = 1.7 + 1.5 = 3.2 hours
Speed = Distance ÷ time
Speed = 510 ÷ 3.2 = 159.38 miles/hour
Answer: The average speed is 159.38 miles/hour
