You and your friends compare how many

Mathematics

1 answer:

Helen [10]3 years ago

3 0

answer:

the mean for this is 27

step-by-step explanation:

all you have to do is add up all of the times

15, 18, 20, 22, 28, 37, 49

which would have given you

189

then you divide that number by how much times were written down

7 would be that number so

189/7 = 27

and this is what it is written in one equation

(15+18+20+22+28+37+49)/7

hope this helps you! :)

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The height of a triangle is 3cm less than twice the base. The area is 10cm2

Kamila [148]

Answer:

The base is 4cm and the height is 5cm.

Step-by-step explanation:

This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:

$H=2B-3$

and

$\frac{B \times H}{2}=10$

Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:

$\frac{B(2B-3)}{2}=10\\\frac{2B^2-3B}{2}=10\\2B^2-3B=20\\2B^2-3B-20=0\\(2B+5)(B-4)=0\\B= - \frac{5}{2},4$

In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:

$H=2(4)-3\\H=8-3\\H=5$