The way you'd set it up would be sin55º/12=sinB/14 (you could also flip the equation so that 12/sin55º=14/sinB, you'll get the same answer either way). Multiply out so that its 14•sin55º=12•sinB, or 11.47=12•sinB. Divide both sides by 12 so that it looks like .96=sinB, then take arcsine of both sides (arcsin= x=sin^-1 theta+360n or x=180- (sin^-1 theta)+360n), which should give you about 72.88º and 107.12º.
We know that
AE*EC=DE*EB-----------> <span>String theorem
AC=8 in----------> AE=AC/2----------> AE=4 in
EC=AE-----------> EC=4 in
BE=2.5 in
DE=?
DE=(AE*EC)/EB----------> DE=</span>(4*4)/2.5---------> DE=6.4 in
<span>
then
diameter=DE+EB--------> 6.4+2.5=8.9 in
the answer is
the diameter is 8.9 in
</span>
Answer: k = 4
Step-by-step explanation: greatest k, which 5^k is a factor of
the product of the integers from 1 through 24
From 1.2.3...24, if we factor all these numbers to prime integers, we can find 5 in: 5, 10, 15 and 20.
5; 2.5; 3.5; 4.5, so 5^4 is a factor of this product.
This way, k = 4
Answer:
Given - Two angles measures 2x and 3x
To find - size of 3x
Solution -
2x + 3x = 360° ( Make reflex angle )
5x = 360°
x = 360/5
x = 72°
3x = 3 * 72 = 216°