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ANTONII [103]
3 years ago
15

Solve for b. 7 b 12 b= ✓ [?] Pythagorean Theorem: a2 + b2 = c2 Enter

Mathematics
1 answer:
fomenos3 years ago
6 0

Answer: b=\sqrt{95}

Step-by-step explanation:

To solve for b, we want to use the Pythagorean Theorem as given.

b and 7 are the legs, and 12 is the hypotenuse.

7^2+b^2=12^2      [exponent]

49+b^2=144     [subtract both sides by 49]

b^2=95               [square root both sides]

b=\sqrt{95}

Now we know b=\sqrt{95}.

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The sum of the ages of Caleb and Linda is 55 years. 8 years ago, Caleb's age was 2 times Linda's age. How old is Caleb now?
yKpoI14uk [10]

Answer:

34

Step-by-step explanation:

1. if to guess the Caleb's age is 'x' years and Linda's age is 'y' years now, then

2. according to the 'sum of the ages of Caleb and Linda is 55 years' it may be written: x+y=55 - the first equation of the system;

3. according  to the condition '8 years ago, Caleb's age was 2 times Linda's age' it may be written: (x-8)(y-8)=2 - the second equation of the system;

4. if to make up the system of two equation and calculate the values of 'x' and 'y':

5. if x=34, then Caleb is 34 old now.

4 0
4 years ago
When you know the sine of an angle you can find the measure of the angle in degrees by using the inverse sine sin^-1. Describe h
slavikrds [6]
When you know the sine of an angle.
5 0
3 years ago
Math experts please simplify this thank you
Alik [6]

Answer:

t+4 / t-4

Step-by-step explanation:

(t^2 - 16) / (t^2 -8t +16)

=( t^2 - 4^2) / (t^2 - 2*4*t + 4^2)

by formula a^2 - b^2 = (a+b)(a-b)

= (t+4)(t-4)  / (t-4)^2

= (t+4)(t-4)  / (t-4)(t-4)

= t+4 / t-4

7 0
3 years ago
Read 2 more answers
Name all angles congruent to angle 8
Law Incorporation [45]
There should be 3 more of them.

6 vertically opposite
2 alternate interior angles
4 It is vertically opposite 2. I've forgotten how to name 4, but what I've said will prove it.
4 0
3 years ago
3/8 + 1 3/8 please help
wolverine [178]
Since they have a common denominator you can add them together

1 3/8 + 3/8 = 1 6/8

Reduced, the answer is 1 3/4

I hope that helps!
5 0
3 years ago
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