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pishuonlain [190]
3 years ago
9

Given right triangle ABC. To the nearest degree, find the measure of angle B.

Mathematics
1 answer:
DedPeter [7]3 years ago
4 0

Answer:

Step-by-step explanation:

We have the length of AC which is opposite angle B; we also have the length of the hypotenuse.  We will use trig here to solve for angle B.  The sin ratio is the one that fits.

sin(B) = side opposite / hypotenuse:

sin(B)= \frac{ 4.8}{ 5.1} so

sin(B) = .9411764706

Now we will use the 2nd button on our calculators.  This will give us the missing angle value.  Press 2nd then sin and you will see on your screen:

sin^{-1 (

Enter that decimal after the open parenthesis and hit "enter" to get

B = 70.25 or 70°

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How do you do x ^4-4? What is the x values?
VladimirAG [237]
We know that
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</span> then
x ^4-4--------> (x²-2)*(x²+2)
(x²-2)--------> (x-√2)*(x+√2)
x1=+√2
x2=-√2

the other term
(x²+2)=0-> x²=-2-------------- x=(+-)√-2

i <span> is called the </span><span>imaginary unit. </span><span>It satisfies </span><span>  i</span>²<span>  =-1
</span><span>Both </span><span>  i </span><span>  and </span><span>  -i </span><span>  are the square roots of </span><span>  -1 
</span><span>√<span> -2 </span></span> =√<span> -1• 2  </span><span> = </span>√ -1 •√<span>  2  </span> =i • <span> √<span> 2 </span></span>
The equation has no real solutions. It has 2 imaginary, or complex solutions.
x3=  0 + √2<span> <span>i  
</span></span>x4=  0  - √2<span> i </span>

the answer is 

the values of x are
x1=+√2
x2=-√2
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x4=  0  - √2 i

3 0
3 years ago
Hank put $10,000 in an account for 10 years. The account earned 2.5% interest. How much interest had been earned by the end of t
NeX [460]

Answer:

A = P ( 1+ i )^n

A = 10,000(1+0.025)^10

= 10,000(1.025)^10

= $12,800.84

Step-by-step explanation:

A = future amount

i = interest rate

n = number of years

P = Present value

i.e i = 2.5% , P = $10,000 and n = 10 years

4 0
2 years ago
Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic tit
GaryK [48]
Answer: x = 2921, y = 579

Step-by-Step Explanation:

I am assuming that we just have to Solve for ‘x’ and ‘y’.

‘x’ = No. Of Contemporary Titles
‘y’ = No. Of Classic Titles

=> x + y = 3500 (Eq. 1)
=> x - y = 2342 (Eq. 2)

Adding Eq. 1 and Eq. 2, we get :-

2x = 3500 + 2342
2x = 5842
x = 5842/2
=> x = 2921

Therefore, x = 2921

Substitute value of ‘x’ in Eq. 1 :-

x + y = 3500
(2921) + y = 3500
y = 3500 - 2921
=> y = 579

Therefore, y = 579

Hence,
No. Of Contemporary Titles = 2921
No. Of Classic Titles = 579
6 0
1 year ago
13) -4= -b -1/3b and -23/3= 1/2a + 5/3a
Sergeeva-Olga [200]

-4=-1b-(1/3)b

-4=-(4/3)b

-4/-(4/3)=b

b=3

-------------------------------

(1/2)3+(5/3)2

3/6+10/6=13/6

-23/3=13/6a

(-23/3)/(13/6)=a

a=-46/13

7 0
3 years ago
Please solve the following question.
mylen [45]

Answer:

103, 776

Step-by-step explanation:

There are 48 possibilities, and you are picking 3.

Now, the order does matter (aka, if the same 3 athletes won but got different places, we would still consider it to be a separate possibility)

(this is considered "without repetitions")

the number of permutations (arrangement combinations where the order does matter) without repetitions formula:

Number of permutations

without <em>repetitions </em>= nPr

= \frac{n!}{(n-r)!}

(

[the P is for combinations [where the order does matter, if the order didn't matter then it would be C, and it would be a different formula.]

n is the total number of objects.

r is the number of objects selected]

<em>(a repetition would be like two versions of the same person competing, which doesn't make sense)</em>

{the ! means factorial:

5! = 5 x 4 x 3 x 2 x 1}

{for example, if there are 5 people to give a presentation, and they can go in any order [but cannot repeat their presentation], so they all must fill 5 slots}

{for the first slot there are 5 choices, the second slot there are 4 choices...}

)

So, if we follow this formula:

\frac{n!}{(n-r)!}

n: 48

r: 3

\frac{48!}{(48-3)!}

= \frac{48!}{45!}

=\frac{48 * 47*46*45!}{45!}

(the 45! cancel out)

= 48 * 47 * 46

= 103, 776

(or, without the formula:

for the first choice (lets say of gold), there are 48 options

for the second choice (lets say silver), there are 47 options left to choose from

for the third choice (lets say bronze), there are 46 options left to choose from

)

3 0
2 years ago
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