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lesya [120]
3 years ago
14

Consider △ABC. Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 13, the length of B C is 1

2, and the length of A C is 5. What are the angles that make the trigonometric statements true? sin( ) = cos(B) sin(B) = cos( )
Mathematics
2 answers:
bija089 [108]3 years ago
6 0

Answer:

<em>22.62°</em>

Step-by-step explanation:

Considering △ABC.  If angle B C A is a right angle, then;

m<BCA = 90 degrees

Given also

AB = 13

BC = 12

AC = 5.

According to SOH, CAH TOA;

Sin <B = AC/AB

Cos <B = BC/AB

Substitute the given values

Sin B = 5/13

B = arcsin(5/13)

B = 22.62

Cos B = 12/13

B = arccos (12/13)

B =22.62

<em>Hence the angles that make sinB = cosB is 22.62°</em>

PSYCHO15rus [73]3 years ago
3 0

Answer:

sin(A)=cos(B)

sin(B)=cos(A)

Step-by-step explanation:

I did it, but if you're seeing this, have a good day

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What nitrogen base sequence is the partner c-a-t-c-g-a
nataly862011 [7]

Answer: G-T-A-G-C-T

Step-by-step explanation: so A pairs with T While G pairs with C

4 0
3 years ago
Equation to find original price if sale price of $429 is a 34% discount
Burka [1]

Answer:

The original price is $650

Step-by-step explanation:

There's an actual algebra method for this, but this is my method because I find it way easier to remember.

Since the most you can discount out of an item is 100% (well, it's considered free then) let's subtract 100 - 34, which is 66.

Now, turn it into a decimal because it makes the numbers easier- 0.66.

Since when you're finding the discount of an original price, you multiply the original price by the discount- instead for finding the original price for a discounted item we divide $429 by 0.66 instead, since when you divide a number by another number that's under 1 the quotient is a larger number.

So, 429 ÷ 0.66 = 650.

Therefore, the original price of the $429 sale price for a 34% discount is $650.

7 0
2 years ago
Find m∠I. Put the answer below.<br><br><br>m∠I =
Mamont248 [21]

Answer:

45°

...

...

...

..

...

..........

4 0
2 years ago
#82 will give brainliest to best answer!​
Fofino [41]

Answer:

\frac{6}{k-6}

Step-by-step explanation:

First, we can factor all of the following equations to turn that weird, huge looking thing into \frac{(k+6)(k-6)}{(k-6)(k-10)} ÷ \frac{(k-6)^2}{k(k-6)} × \frac{6(k-10)}{k(k + 6)}. We know that division is simply multiplication by the reciprocal, so that whole equation will turn into \frac{(k+6)(k-6)}{(k-6)(k-10)} × \frac{k(k-6)}{(k-6)^2} × \frac{6(k-10)}{k(k+6)}. Now we can cancel out some values if they are both in the numerator and denominator, which will turn that still huge looking thing into \frac{6}{k-6} which is our final answer, as it cannot be simplified further.

Hope this helped! :)

7 0
2 years ago
Read 2 more answers
Explain how a number line can be used to find the difference for 34-28
Luba_88 [7]
You can count from 34-28 and the numbers you counted (the numbers in between 34-28) is your answer.
6 0
3 years ago
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