Answer:

Step-by-step explanation:
As we are given the adjacent (a) side and the hypotenuse (h), we can use the cosine function to find the measure of angle B.
Recall that 
This means that in order to find B, we need to take the inverse of cosine
This gives us

From a calculator, we find that the answer of this is

When this is rounded to the nearest hundredth, we get

Answer:
The dimensions of the border are 7 yd by 6.25 yd.
We know that: 52 + 24 = 76.
You can also express it this way:
52 + 24 = 50 + 2 + 20 + 4 = ( 50 + 20 ) + ( 2 + 4 ) = 70 + 6 = 76
Or ( since 4 * 13 = 52 and 4 * 6 = 24 ):
52 + 24 = 4 * 13 + 4 * 6 = 4 * ( 13 + 6 ) = 4 * 19 = 76.
First off you need to take the square root of both sides and it leaves you with (x)(2x)= 15 then you multiple the x and it gives you 2x^2=15 then you divide by 2 and it gives you 7.5 then you take the square root of that to cancel the x^2 and it gives you x=2.7
Answer:
Step-by-step explanation: 3a-5b= 3(7)-5(4)
=21-20
=<u>1</u>
7-3a+5a+15=7-3(7)+5(7)+15
=7-21+35+15
=-14+50
=<u>36</u>
15a^2-17(bc)^2=15(7)^2-17(4)(-3)^2
=105^2-204^2
=210-408
=<u>-198</u>