Use the Law of Sines (sina/A=sinb/B=sinc/C for any triangle)
YZ/sin30=50/sin90
YZ=50sin30 (sin90=1 :P)
YZ=25m
Use the 30,60,90° triangle ratios 1, √3, 2
YZ/1=50/2
YZ=25m
Using the Pythagorean Theorem....
(2*25)^2=YZ^2+(√3*YZ)^2
2500=YZ^2+3YZ^2
2500=4YZ^2
625=YZ^2
25m=YZ
Answer:
8.733046.
Step-by-step explanation:
We have been given a definite integral 
. We are asked to find the value of the given integral using integration by parts.
Using sum rule of integrals, we will get:
We will use Integration by parts formula to solve our given problem.
Let 
and 
.
Now, we need to find du and v using these values as shown below:
Substituting our given values in integration by parts formula, we will get:
Compute the boundaries:
Therefore, the value of the given integral would be 8.733046.
Answer:
(a) the interest is $6384
Hope this helps!
X=y+3
<span>-5x-4y=<span>30
-------------------
Substitute y + 3 for x in </span></span>-5x-4y=30
<span><span>-5<span>(y+3)-</span></span>4y</span>=<span>30
</span>-9y-15=<span>30
</span>----------------------------
Add 15 to each side
<span><span>-9y-15</span>+15</span>=<span>30+<span>15
-9y = 45
</span></span>-----------------------------------
Divide each side by -9
-9y ÷ -9 = 45 ÷ -9
y = -5
Now we solve for x
====================================================================
Substitute -5 for y in x = y + 3
x=-<span><span>5</span>+<span>3
</span></span>x = -2
----------------------
(-2,-5) is your answer
Answer:
Rate = 6.56%
Step-by-step explanation:
Principal (P) = $5000
Interest (I) = $6312
Time (T) = 4 years
Rate (r) = ?
This question is involves simple interest and with the formula, we can easily plug in the values to find the rate.
S.I = P(1 + rt)
S.I = simple interest
P = principal
R = Rate
T = Time
6312 = 5000(1 + r*4)
6312 = 5000 + 5000*4r
6312 - 5000 = 20000r
1312 = 20000r
r = 1312 / 20000
r = 0.0656
Rate are calculated in percentage hence we'll multiply it by 100
R = 6.56%
