That questions has to do with equivalent fractions, express a fraction in eights.
six and three quarters
= 6 3/4
<span>= 6 + 3/4
</span>= 24/4 + 3/4
= 27/4
and to convert that fraction to eights, just multiply numerator and denominator by 2:
= (27*2)/(4*2)
= 54/8
there are 54 eights in six and three quarters
31 is the smaller number
39 is the bigger number (just in case you need both)
The <u><em>correct answer</em></u> is:
(8, 20).
Explanation:
We can substitute the values for x in the equation and see if they equal y:
y=16+0.5(0) = 16+0 = 16 ≠ 18. This is not the correct option.
y=16+0.5(5) = 16+2.5 = 18.5 ≠ 19.5. This is not the correct option.
y=16+0.5(8) = 16+4 = 20. This is the correct option.
Answer:
See explanation
Step-by-step explanation:
For triangle JNL: JLN = 180 - (90 + 39) = 51
so JLP = 51 - 28 = 23
8. side PL: cos JLP = OL/PL
=> PL = OL/cos JLP = 24/cos23 = 24/0.92 = 26
5. Side NP
sin NLP = NP/PL => NP = PL(sin NLP) = 26(sin28) = 26(0.47) = 12.22
7. side KP:
KP^2 = NP^2 + 30^2 = 12.22^2 + 30^2 = 149.33 + 900 = 1049.33
KP = 32.39
6. Side KM: KP^2 = KM^2 + 13^2
KM^2 = KP^2 - 13^2 = 1049.33 - 169 = 880.33
KM = 29.67
4. Angle KLJ: equals to angle NLJ
NLJ = 180 - (90 + 39) = 51
3. Angle NKP: cosNKP = 30/KP = 30/32.39 = 0.926
=> NKP = 22 degrees
2. Angle JKL
sin MKP = 13/KP = 13/32.39 = 0.401
=> MKP = 24 degrees
JKL = MKP + NKP = 24 + 22 = 46 degrees
1. Angle MJP
MJP + 39 = 180 - (JKL + KLJ)
MJP = 180 - (46 + 51) - 39 = 44
Let me know if I miss anything