Turn your calculator mode froom radians to degrees!!!
As we know, sum of interior angles of a triangle is 180°
that is ~
Hence, value of x is 9°
Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
Formula:
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<span>Note: , where nPr is the formula for permutations of n objects taken r at a time.</span>
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Example:
<span>How many different committees of 4 students can be chosen from a group of 15?
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</span>
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Answer:
<span>There are possible combinations of 4 students from a set of 15.</span>
</span>
<span>
<span>
There are 1365 different committees.</span></span></span>
Answer:
See step-by-step explanation
Step-by-step explanation:
Question 3: (4, -3)
Solving through elimination: Multiply the first equation by -3.
-3x+6y=-30
3x-5y = 27
Add. The x drops out.
y= -3
Substitute -3 in for y.
x-2y=10
x-2(-3)=10
x+6=10
x=4
Question 4: (2,5)
Solve through elimination: Multiply the second equation with 3.
3/2= 6/4
15/4x=7.5
x=2
3/2 (2) + y = 8
3+ y =8
y=5
Question 5: (6,4)
Use your graph to graph.
Slope of -1/3
Y-intercept of 6 (0,6)
X-intercept of 18 (18,0)
Slope of 3/2
Y-intercept of -5 (0,-5)
X-intercept of 
(
Question 6: (5, -7)
Solve by substitution:
Words of encouragement:
Good luck!
