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Anika [276]
3 years ago
15

Determine the missing side length

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
8 0

Answer:

√85

Step-by-step explanation:

The given shape is a right angled triangle.

Let the missing side length be " x ".

By Pythagoras theorem,

x² = 6² + 7²

x² = 36 + 49

x² = 85

x = √85

Therefore, the missing side length be √85.

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A small point deduction applies if a participation activity's question is not answered correctly the first time?
LiRa [457]

Answer: False

Step-by-step explanation:

There is no such deduction when a participation's questions are not answered correctly the first time. Whatever answer is given is part of the learning curve and ensures that the activity can be improved upon.

Had there been a small point deduction then there would be no opportunity to learn because there would be too much fear associated with the wrong answer.

3 0
3 years ago
A rectangular lawn measuring 24 feet by 16 feet is surrounded by a flower bed of uniform width. The combined area of the lawn an
ArbitrLikvidat [17]

Answer:

6 feet

Step-by-step explanation:

(24+x)(16+x)=660

384+24x+16x+x²=660

x²+40x-276=0

x`= 6

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5 0
3 years ago
Consider vectors u and v, where u = (1, -1) and v = (1, 1). What is the measure of the angle between the vectors?
7nadin3 [17]

Answer:

I believe the answer is C. 90 degrees

Step-by-step explanation:

First you find the lengths of the two vectors, which are both \sqrt{2}. Then you find the angle given the cos using:   cos(∅)=\frac{u*v}{|u|*|v|} = \frac{0}{\sqrt{2}*\sqrt{2}  } = 0. Then using ∅=acos(0)=\frac{\pi }{2} = 90°

6 0
3 years ago
Read 2 more answers
The sum of four consecutive integers is 286. Find the four integers
8_murik_8 [283]
Step 1: Write out the problem.
Step 1: Write out the problem.
Step 1: Write out the problem.
x+(x+1)+(x+2)+(x+3)= 286

Step 2: Take out the parentheses.
x+x+1+x+2+x+3= 286

Step 3: Combine like terms.
4x+6= 286

Step 4: Subtract 6 from both sides.
4x+6 -6= 286 -6

Step 5: Divide 4 on both sides.
4x/4 = 280/4

x=70

Which means the answer is 70, 71, 72, 73

Check Work:
70+71+72+73= 286

So this is correct :)
3 0
3 years ago
Points (3,1) and (1,4) lie on line k. What is the slope of the line that is perpendicular to k?
denis-greek [22]
First we need to find the slope of line k.  Using the slope formula, we fill in accordingly: m= \frac{4-1}{1-3}.  The slope is -3/2.  The slope of a line that is perpendicular to line k will have the opposite sign (so, positive) and will be the reciprocal of the line k's slope (so, 2/3).  You could also say, more "mathematically legal", that the product of the slopes of perpendicular lines is -1, but it's easier to just say that they are opposite reciprocals.  The slope you're looking for is 2/3.  Choice 3 above.
6 0
3 years ago
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