Answer:
Can there be an triangle of which one angle has the measurement of 20 degrees and the other has a measurement of 45 degrees
Step-by-step explanation:
Let the length of rope be 1 unit.Given Joshua used
of a coil of rope to hold a shelf to the wall.
Remainder rope = ![1-\frac{1}{4} =\frac{3}{4}](https://tex.z-dn.net/?f=%201-%5Cfrac%7B1%7D%7B4%7D%20%3D%5Cfrac%7B3%7D%7B4%7D%20%20)
Joshua kept
of the remainder
Rope kept by Joshua =![\frac{3}{4} .\frac{4}{9} =\frac{12}{36} =\frac{1}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20.%5Cfrac%7B4%7D%7B9%7D%20%3D%5Cfrac%7B12%7D%7B36%7D%20%3D%5Cfrac%7B1%7D%7B3%7D%20%20)
Rope left =![\frac{3}{4} -\frac{1}{3} =\frac{9-4}{12} =\frac{5}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20-%5Cfrac%7B1%7D%7B3%7D%20%3D%5Cfrac%7B9-4%7D%7B12%7D%20%3D%5Cfrac%7B5%7D%7B12%7D%20%20)
With this Joshua ties two parcels
a) Fraction of rope used to tie each parcel =
÷2
=![\frac{5}{12} .\frac{1}{2} =\frac{5}{24}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D%20.%5Cfrac%7B1%7D%7B2%7D%20%3D%5Cfrac%7B5%7D%7B24%7D%20%20)
b)Joshua has 240 cm of rope .
Rope used to tie each parcel =
=50cm.
Total + 25 + 15 + 30 = 70 mins
Sleep = 25 mins
Sleep : Total ratio = 25 : 70 = 5 : 14
Answer: 5 : 17
The direct variation is Table B, since
12÷4 = 18÷6. The variables are proportional to each other because every outcome is x3
Meanwhile, Table A lacks any sense of order or proportion, and Table C doesn't appear to have any outcome to prove a proportional relationship between x and y.
Answer: First : C, Variance: 84,000 , Standard deviation: 290
Step-by-step explanation:
i took the test