1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
saul85 [17]
2 years ago
10

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

Mathematics
2 answers:
salantis [7]2 years ago
7 0

Answer:

b =15

Step-by-step explanation:

We can use Pythagoras theorem to find b:

a^{2}+b^{2} = c^{2}

8^{2} + b^{2} = 17^{2}

64 + b^{2} = 289

64 + 225 = 289

64 + 15^{2} = 289

b = 15

hope this helps :) and sorry if not right

iren [92.7K]2 years ago
4 0

Step-by-step explanation:

So let write the Pythagorean Theorem equation out.

a²+b²=c²

So our value of b is 8 and c is 17. So let plug those number into the equation.

a²+8²=17²

Now you square the known value which you will get:

a²+64=289

Subtract 64 from both sides and you get:

a²=225

Square both side:

√a²=√225

When squaring a² inside the house, the exponent of 2 cancel out which is just a.

So the final answer is a = 15

So let double check to ensure that it adds up to 289. If it does not, then somewhere along the way I made a math calculation error.

15²+8²=c²

225+64=c²

289= c²

√289= sqrt(c^2)#

17 = c

So a = 15 work.

You might be interested in
3. Name three colinear points?
Alex787 [66]

Answer:

ABC

Step-by-step explanation:

They are on the same line.

4 0
3 years ago
What is the solution of √x-5 = x-11
PIT_PIT [208]
Hey!


To solve x in this equation we must first add five to both sides to get \sqrt{x} on its own.

<em>Original Equation :</em>
\sqrt{x} - 5 = x - 11

<em>New Equation {Added 5 to Both Sides} :</em>
\sqrt{x} =x-6

Now we must square both sides of the equation.

<em>Old Equation :</em>
\sqrt{x} =x-6

<em>New Equation {Changed by Squaring Both Sides} :</em>
x= x^{2} -12x+36

And now we must solve the new equation.

Step 1 - Switch sides
x^{2} -12x+36=x

Step 2 - Subtract x from both sides
x^{2} -12x+36-x=x-x

Step 3 - Simplify
x^{2} -13x+36=0

Now we need to solve the rest of the equation using the quadratic formula.

\frac{-(-13)+ \sqrt{(-13) ^{2}-4*1*36 } }{2*1}

{13+ \sqrt{(-13)^{2}-4*1*36 }=13+ \sqrt{25}

\frac{13+ \sqrt{25}}{2}

\sqrt{25}=5

\frac{13+5}{2}

\frac{18}{2}

9

\frac{-(-13)- \sqrt{(-13) ^{2} -4*1*36} }{2*1}

4

<em>So, this means that in the equation \sqrt{x} -5=x-11,</em>  x = 9  <em>and  </em>x = 4.

Hope this helps!


- Lindsey Frazier ♥
4 0
2 years ago
Find the difference between (x+7) &amp; (3x+4)
KiRa [710]

(x + 7) - (3x + 4) = x + 7 - 3x - 4 = (x - 3x) + (7 - 4) = -2x + 3

6 0
2 years ago
Please help and leave explanation
chubhunter [2.5K]

Answer: x = 150°

Step-by-step explanation:

The tangent intersects the circle's radius at a 90° angle, so ∠OAC = ∠OBC = 90°.

AOBC is a quadrilateral and we know that sum of interior angles of quadrilateral equals to 360°.

Now,

∠OAC + ∠OBC + ∠AOB + ∠ACB = 360°

90° + 90° + x + 30° = 360°

210° + x = 360°

x = 360° - 210°

x = 150°

7 0
2 years ago
20 POINTS and BRAINLY!!
Karo-lina-s [1.5K]

Answer:

396

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • I need help on everything
    5·2 answers
  • Jason paints 1/4 of the area of his living room walls, w, on Monday. On Tuesday, he paints twice as much as he painted on Monday
    5·1 answer
  • An equation of the form t2 d2y dt2 + αt dy dt + βy = 0, t &gt; 0, (1) where α and β are real constants, is called an Euler equat
    6·1 answer
  • Pls answer it ......​
    10·1 answer
  • James pays $120.00 for golf clubs that are on sale fo 20% off at golf pros. At nine iron ,the same clubs cost $8.00'less than th
    13·1 answer
  • Find the median of the set of data.
    10·1 answer
  • Plz answer this question :) Math​
    6·1 answer
  • Some please help! lot of points!
    15·1 answer
  • 3.) If you deposit $4,000 for 6 years at a simple interest rate of 6%, how much will be in the account?
    7·1 answer
  • Can you help me with this
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!