Answer:
5.006
41.056
31.289
51.977
7.884
Step-by-step explanation:
1) sin x = opposite side / hypotenuse
sin 24.3° = 2.06 / hyp
hyp = 2.06 / sin 24.3 = 5.<u>0059</u>006616019108320511866543651
rounding to 3 significant figures
= 5.006
2)cos x = adjacent side / hypotenuse
cos 47 = 28 / x
x = 28 / cos 47 = 41.<u>0558</u>17197909497891901840157945
= 41.056
3) cos x = adjacent side / hypotenuse
cos 56.1 = x / 56.1
x = 56.1 * cos 56.1 = 31.<u>2895</u>00613760617368691451544764
= 31.289
4) tan x = opposite side / adjacent side
tan 68 = x / 21
x = 21 * tan 68 = 51.<u>9768</u>239217422123300402781676
= 51.977
5) sin x = opposite side / hypotenuse
sin 21 = x / 22
x = 22 * sin 21 = 7.<u>8840</u>948899966060166510313670963
= 7.884
To determine if 3.5 liters of glue will be enough, you can set up a proportion using the ratio of glue to water (3:1).
<u>3 L glue </u> <u>3.5 L glue</u>
1 L water = x L water
Use cross products to solve for the amount of water.
<u>3x</u> = <u>3.5</u>
3 3
x = 1.17 L
You will need approximately 1.17 L of water with 3.5 L of glue. This is a total of 4.67 L, which is NOT enough.
You will <u>not</u> be able to make the mixture.
None because the computer need all parts to function
Answer:
Step-by-step explanation:
solution
variables are
Number of shirts made and number of pajamas made
and
constraints are
fabric in yd and time in hr
and
inequalities for the constraints are
we consider here
no of shirt = x
no of pajama = y
so
x ≥ 0 and y ≥ 0
x +2y ≤ 1000
2x +3y ≤ 1600