Jordan and Ellen recycle cans. Jordan recycles 7 cans for every 12 cans Ellen recycles. Last week, Jordan
2 answers:
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You have to break up 384 into numbers that can be taken out to the radical.
You can break up 384 into 2^3*2^3*6.
Since two 2’s can be taken you would have 4 on the outside and a 6 and x^4 left on the inside.
x^3 can be taken out, leaving an x inside the radical.
The final answer would be 4x on the outside and 6x left under the cubed radical
You can break up 384 into 2^3*2^3*6.
Since two 2’s can be taken you would have 4 on the outside and a 6 and x^4 left on the inside.
x^3 can be taken out, leaving an x inside the radical.
The final answer would be 4x on the outside and 6x left under the cubed radical
Answer:
perimeter = 28.68 cm
area = 15.48 cm^2
Step-by-step explanation:
1. complete the angles in the triangle. sum of all the angles in a triangle is 180 degrees.
therefore 180 - (60 +45) = 75
angle at B is 75 degrees
2. find the sides of the triangle using the sine formula for triangle
sin A/a = sin B/b = sin C/c
we have the angle at C and the side opposite C is also give, we can use that with any other
3. sin A/a = sin C/c
sin 60/a = sin 45/8
make a subject
a = 9.78 cm
4. sin A/a = sin B/b
sin 60/9.78 = sin 75/b
make b subject
b = 10.90 cm
with the three sides, we know that perimeter is the length around an object
adding all the lengths together will give the perimeter
perimeter = 10.90 + 8 + 9.78
= 28.68 cm
5. to find the area we need to find the high of the triangle since the expression for the area of a triangle is
6. bisecting the side BC will give have as 4.89 cm
7. using Pythagoras theorem we can find the height of the traingle
c^2 = a^2 + b^2
8^2=(4.89)^2 + b^2
64 - 23.9121 = b^2
b=
b =6.33 cm
insert this into the formula above will give the value for area
which is 15.48 cm^2
area = 1/2 (4.89)(6.33)
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Answer:
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Given:
Find:
Solution: We need to first solve for y in the equation that was provided so we can determine the slope. Then we plug in the values into the point-slope form, distribute, simplify, and solve for y to get our final equation.
<u>Subtract 7x from both sides</u>
<u>Divide both sides by 4</u>
<u>Plug in the values</u>
<u>Simplify and distribute</u>
<u>Subtract 3 from both sides</u>
Therefore, the final equation in slope-intercept form that follows the information that was provided is y = -1.75x - 11.75