Answer:
-22
Step-by-step explanation:
6j-5k=11
5j-6k=22
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5(6j-5k)=5(11)
-6(5j-6k)=-6(22)
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30j-25k=55
-30j+36k=-132
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11k=-77
k=-77/11
k=-7
6j-5(-7)=11
6j+35=11
6j=11-35
6j=-24
j=-24/6
j=-4
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2j+2k=2(-4)+2(-7)=-8-14=-22
check the picture below.
so the cone itself has a height of 8, and a radius of 2.5, and the spherical scoop, ready to melt in it, has a radius of 2.5.
namely, will the volume of the sphere be larger than the cone? in which case the melted ice-cream will overflow.
Answer is 19.99 dollars
Explanation:
Let us draw the reconciliatin done by Yolanda linewise
Banking reconciliation Worksheet Amount of Mega
1) Closing balance $ 345 89
2) the sum of any outstanding deposits or credits. 0.00
3) Sum of 1 and 2 345.89
4. sum of any outstanding checks or debits. $ 37 51 5.
5) (3)-(4) $ 308 38
6) checkbook balance. $ 328 37
7) Difference (6)-(5) $ 19.99
SInce difference is exactly 19.99 dollars Yolanda should look for the amount 19.99 dollars to find a solution to the problem i.e. to see the reason for the difference between lines 5 and 6
Answer:
a = 0.25
Step-by-step explanation:
Our strategy to solve this problem will be to use the information given in the table to obtain first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations and solve for the coefficients a and b as follow:
from x=0 and y=-3 a*0 + b* 0 + c = - 3
c = -3
from x=1 and y= -3.75
a*(1) + *(1) + (-3) = -3.75
a + b = -3.75 + 3 = -0.75
from x= 2 and y = -4
a* (2)^2 + b*(2) + (-3) = -4
4a + 2b = -4 +1
4a + 2b = -1
Now we can solve the system f equations by elimination:
a + b = -0.75
4a + 2b = -1
multiply first equation by -2 and add to the second and get
-2a - 2b = +1.50
4a + 2b = -1
2a = 0.50 and substituting into any of the equations get b = -1
so the quadratic equation has a= 0.25 b= -1 c= -3
we can even plug the any of the other values for x given in the table and check the answer.
Answer:
c=231.87 m
Step-by-step explanation:
When we read this example we can see that Peter will form triangle with those sides :
a=200 m,
b=180 m
cos X=cos (180-105)=cos75
x is angle.
Now, we can use this rule :
Now, let's evaluate :
