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
AlladinOne [14]
3 years ago
8

NEED HELP

Mathematics
2 answers:
Svetlanka [38]3 years ago
6 0

Answer:

B= 6

Step-by-step explanation:

a^2 + b^2= c^2 hypotenuse formula

Plug in what you have

8^2 + b^2= 10^2

PEMDAS

64 +b^2= 100

combine like terms

b^2=36

divide

b=6

laiz [17]3 years ago
6 0

Answer:

6

Step-by-step explanation:

The Pythagorean theorem states that

8*8+B*B=10*10

64-100=B*B

√36=B

6=B

You might be interested in
Please help? I’m super lost...
babunello [35]

Answer:

Step-by-step explanation:

In all of these problems, the key is to remember that you can undo a trig function by taking the inverse of that function.  Watch and see.

a.  sin2\theta =-\frac{\sqrt{3} }{2}

Take the inverse sin of both sides.  When you do that, you are left with just 2theta on the left.  That's why you do this.

sin^{-1}(sin2\theta)=sin^{-1}(-\frac{\sqrt{3} }{2} )

This simplifies to

2\theta=sin^{-1}(-\frac{\sqrt{3} }{2} )

We look to the unit circle to see which values of theta give us a sin of -square root of 3 over 2.  Those are:

2\theta =\frac{5\pi }{6} and

2\theta=\frac{7\pi }{6}

Divide both sides by 2 in both of those equations to get that values of theta are:

\theta=\frac{5\pi }{12},\frac{7\pi }{12}

b.  tan(7a)=1

Take the inverse tangent of both sides:

tan^{-1}(tan(7a))=tan^{-1}(1)

Taking the inverse tangent of the tangent on the left leaves us with just 7a.  This simplifies to

7a=tan^{-1}(1)

We look to the unit circle to find which values of <em>a</em> give us a tangent of 1.  They are:

7\alpha =\frac{5\pi }{4},7\alpha =\frac{\pi }{4}

Dibide each of those equations by 7 to find that the values of alpha are:

\alpha =\frac{5\pi}{28},\frac{\pi}{28}

c.  cos(3\beta)=\frac{1}{2}

Take the inverse cosine of each side.  The inverse cosine and cosine undo each other, leaving us with just 3beta on the left, just like in the previous problems.  That simplifies to:

3\beta=cos^{-1}(\frac{1}{2})

We look to the unit circle to find the values of beta that give us the cosine of 1/2 and those are:

3\beta =\frac{\pi}{6},3\beta  =\frac{5\pi}{6}

Divide each of those by 3 to find the values of beta are:

\beta =\frac{\pi }{18} ,\frac{5\pi}{18}

d.  sec3\alpha =-2

Let's rewrite this in terms of a trig ratio that we are a bit more familiar with:

\frac{1}{cos(3\alpha) } =\frac{-2}{1}

We are going to simplify this even further by flipping both fraction upside down to make it easier to solve:

cos(3\alpha)=-\frac{1}{2}

Now we will take the inverse cos of each side (same as above):

3\alpha =cos^{-1}(-\frac{1}{2} )

We look to the unit circle one last time to find the values of alpha that give us a cosine of -1/2:

3\alpha =\frac{7\pi}{6},3\alpha  =\frac{11\pi}{6}

Dividing both of those equations by 3 gives us

\alpha =\frac{7\pi}{18},\frac{11\pi}{18}

And we're done!!!

8 0
3 years ago
felice bought 3/4 of a pound of american cheese at the dell she used 1/2 of the cheese to make sandwhiches how much cheese did s
andrew11 [14]
She used 2/4 pou.ds of cheese, or 8 ounces, or just a half-pound.
3 0
3 years ago
Katie Ward is building a children's playhouse
KengaRu [80]
It depends on the dimensions of the playhouse and what they question is asking.
5 0
3 years ago
An amateur radio operator erects a 75-foot vertical tower for an antenna. A 117 guy wire is pulled from the top of the tower dia
vitfil [10]

Answer:

α=39.80°

Step-by-step explanation:

applying the law of sin and cos, we have:

sin\alpha =\frac{75}{117}=0.6410\\\alpha =acs(0.64)= 39.79

and to the nearest tenth of a degree

α=39.80°

3 0
3 years ago
Please help with math picture below
Viktor [21]

Answer:

28,099.31-x= 11,135.21     =>    x=28,099.31 - 11,135.21 = 16964.1

  Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Sam and Brett share £54 in the ratio of 5:4 how much does each person get
    12·1 answer
  • Divide. <br><br> (10x2 – 13x + 12) ÷ (5x + 1)
    7·2 answers
  • Find the least common multiple for each set of whole numbers.
    14·1 answer
  • The temperature of a liquid in an experiment starts at 0 degrees Celsius. The experiment calls for the temperature of the liquid
    8·1 answer
  • Bernie is filling up a swimming pool the graph shows the volume v of water in the swimming pool at r hours work out the rate of
    7·1 answer
  • What is the resulting ordered pair if the value of the independent variable is 2?<br> f(x) = -5x + 4
    10·2 answers
  • Help! I don’t know how to work with slopes
    8·1 answer
  • Pleas answer correct answer
    9·1 answer
  • New York City is approximately 4.68×10²square miles. Los Angeles is 503 square miles.How many times larger is Los Angeles in New
    7·1 answer
  • _)) Miss Johnston has 80 gold stickers. She wants
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!