Answer:
The combined weight is 13 31/40.
Step-by-step explanation:
Given:
Adam buys a box of stuff that weighed 6 3/8. if he buys box of fruit that weighed 7 2/5.
Now, to find the combined weight.
So, we change the mixed fraction to improper first:
Weight of box of stuff = 
.
Weight of box of fruit = 
.
Then, by adding to get the combined weight:
Therefore, the combined weight is 13 31/40.
<h3>
Answer: 0.5</h3>
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Explanation:
The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.
We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.
This leaves sin(B)/b
We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.
The angle opposite side c is 15 degrees, so C = 15.
The lowercase letters represent side lengths, while the uppercase letters are angles.
--------------------------
We have enough to apply the law of sines to solve for side c.
sin(B)/b = sin(C)/c
sin(105)/2 = sin(15)/c
c*sin(105) = 2*sin(15) ............. cross multiply
c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)
c = 0.53589838486224
c = 0.5
Side c is roughly 0.5 cm long.
Make sure your calculator is in degree mode.
Answer:
Step-by-step explanation:
Equations are commonly used in scienctific discoveries to calculate power, work, distance, and time. It is also common to use the circumference and area equations to help with construction and design. Overall, math is a very important part of our lives, and it is also important to learn about it.
Answer:
Step-by-step explanation:
Parameterize the ellipse as (acos∙,bsin∙). Take points P:=(acosp,bsinp) and Q:=(acosq,bsinq) on the ellipse, with midpoint M:=(P+Q)/2.
If |PQ|=2k, then
a2(cosp−cosq)2+b2(sinp−sinq)2=4k2
The coordinates of M are
xy==a2(cosp+cosq)b2(sinp+sinq)
