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<span>Find the volume of a cone if the slant height is 50 in and the diameter is 80 in
</span>
V≈52359.88<span>
</span>
Part 1)
we have
------> equation A
------> equation B
Multiply by the equation A
------> equation C
Multiply by the equation B
-------> equation D
Adds equation C and equation D
therefore
<u>the answer Part 1) is the option A </u>
Part 2)
we have
------> equation A
Simplify Divide by both sides
------> equation B
the lines A and B are parallel lines, because the slope m is equal
so
The system has no solution
therefore
<u>the answer Part 2) is the option D</u>
There is no x value as there is no solution to the system.
Part 3)
we have
------> equation A
------> equation B
substitute equation B in equation A
therefore
<u>the answer part 3) is the option D</u>
Part 4)
Let
x---------> The number of one-step equations
y---------> The number of two-step equations
we know that
-------> equation A
------> equation B
substitute equation A in equation B
therefore
<u>the answer part 4) is the option D</u>
Answer:
Cos A=5/13
we have
Cos² A=
25/169=1-Sin²A
sin²A=1-25/169
sin²A=144/169
Sin A=
again
Tan B=4/3
P/b=4/3
p=4
b=3
h=
Now
Sin B=p/h=4/5
in IV quadrant sin angle is negative so
Sin B=-4/5
CosB=b/h=3/5
Now
<u>S</u><u>i</u><u>n</u><u>(</u><u>A</u><u>+</u><u>B</u><u>)</u><u>:</u><u>s</u><u>i</u><u>n</u><u>A</u><u>c</u><u>o</u><u>s</u><u>B</u><u>+</u><u>C</u><u>o</u><u>s</u><u>A</u><u>s</u><u>i</u><u>n</u><u>B</u>
<u>n</u><u>o</u><u>w</u><u> </u>
<u>substitute</u><u> </u><u>value</u>
<u>Sin(A+B):</u>12/13*3/5+5/13*(-4/5)=36/65-4/13
<u>=</u><u>1</u><u>6</u><u>/</u><u>6</u><u>5</u><u> </u><u>i</u><u>s</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u>
Answer:
1. 20%
2. 13 and 14
3. 52q
4. option 1
5. option 3
6. 6
Hope this helped :)
Step-by-step explanation: