Answer:
Step-by-step explanation:
Connecting points O and E and points O and J, we get triangle EOJ. This triangle is equilateral triangle, because OJ=OE=JE=r=10 cm.
Since EP⊥IJ, then segment JP is the height of the triangle EOJ.
The height of the equilateral triangle can be found using formula
where a is the side length.
So,
Therefore JP is 5√3 cm
Answer:
1
Use the quadratic formula
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
2
+
5
−
2
=
0
x^{2}+5x-2=0
x2+5x−2=0
=
1
a={\color{#c92786}{1}}
a=1
=
5
b={\color{#e8710a}{5}}
b=5
=
−
2
c={\color{#129eaf}{-2}}
c=−2
=
−
5
±
5
2
−
4
⋅
1
(
−
2
)
√
2
⋅
1
Step-by-step explanation:
this should help
Answer:
3 7/8
Step-by-step explanation:
_____ + 5 3/4 = 9 5/8
x + 5 3/4 = 9 5/8
Subtract 5 3/4 from each side
x + 5 3/4 - 5 3/4 = 9 5/8 - 5 3/4
x = 9 5/8 - 5 3/4
Get a common denominator of 8
5 3/4 *2/2 = 5 6/8
x = 9 5/8 - 5 6/8
We need to borrow 1 from the 9 in the form of 8/8
x= 8 + 8/8+ 5/8 - 5 6/8
x = 8 13/8 - 5 6/8
= 3 7/8
Answer: Yes. On average, it takes about 455 days for 1 person to throw away 1 ton of garbage, so just over 1 year.
Step-by-step explanation: The average person throws away 4.4 pounds of trash daily. So, the way to figure this out is 2,000 divided by 4.4 to find out the number of days it would take to throw away 2,000 pounds of trash.
