0.7 * 200.5
so 4
Anytime~
Nice job!
Smallest: 2 * 6 = 12
Largest: 16*6 = 96
16 - 1 = 15
Hint~
180 - 101 = 79
79 + 38 = 117
x = 117
a = 2c
5c + 2 * 2c = 36
9c = 36
c = 4
d = 12
r = 45
d = 45 * 2 = 90
P = 90pi
The answer is 938.
perimeter = \(2r+\frac{1}{4}\times\pi \times 2r=72+18\pi\)
98 or 102
x = 180 - 43 - (180 - 126)
x = 126 - 43 = 83
Slope = -3/4
y = -(3/4)x + a
2 = 3/4 + a
a = 5/4
y = -(3/4)x + 5/4
\(\frac{1}{997}\equiv x\pmod {1000}\)
997|1000(1000-a)+1
(1000-3)|(1000)(1000-a)+1
last 3 digits from (1000)1000-a+1 = 001.
then, last 3 digits from 1000-3 is 001 too.
chance : (1000-3)*333.
=> 997*333.
x=333
2.) Area : \(\frac{1}{2}\times AC\times BD\)
\(= \frac{1}{2}\times 4\sqrt{5}\times \sqrt{(5\sqrt{2})^2-(3\sqrt{5})^2}\)
\(= \frac{1}{2}\times 4\sqrt{5}\times \sqrt{5}=10\)
1.) Area of the rectangle :
\(w=4\times r=4\times 3=12 \)
\(h=r+\sqrt{(2r)^2-r^2}+r=2\times 3+3\sqrt{3}=6+3\sqrt{3}\)
Area : \(w\times h=12\times (6+3\sqrt{3})=72+36\sqrt{3}\)
Hope this help ^_^
Since NQ bisects ∠MNP, ∠MNQ = ∠QNP.
Considering that ∠NMQ≅∠NPQ, we can create the following diagram:
Notice that △MNQ and △PNQ share a side; meaning that we can use the ASA similarity rule to deduce that △MNQ≅△PNQ.
\(AC=AD=26\)
\(CG=GD=24\)
\(AG=\sqrt{CA^2-CG^2}=\sqrt{676-576}=10\) (H)
x(52 - x) = 242
x = 16, x = 36
242 = 576
576 / 16 = 36
AG = 26 - 16 = 10
Angle LMN is 180 - 90 - 30 = 60°.
Therefore, triangle LMN is a 30-60-90 triangle.
LM = 20/2 = 10 ft
NL = 20/(√3/2) = 10√3
Area = bh/2 = 10 * 10√3 = 100√3 ≈ 173.2 ft2
(2x - 5) + (2x + 5) = 180
4x = 180
x = 45.
\(\angle P=x+10=55\)
\(\angle S=2x+5=95\)
\(\angle Q=2x-5=85\)
\(\angle R=180-\angle P=125\)
Line equation y = m x + b m is the slope
y = -1/2 x -6 has slope, m, = - 1/2 parallel will have the same slope - 1/2
the last two choices have m = -1/2
Find x, y, and z.
Hello Guest!
\(z=24\cdot cos\ 30°=24\cdot \dfrac{1}{2}\sqrt{3}\\ \color{blue}z=12\cdot \sqrt{3}\\ h=24\cdot sin\ 30°\\ h=12\\ y=h\\ \color{blue}y=12\)
\(x=y\cdot \sqrt{2}\\ \color{blue}x=12\cdot \sqrt{2}\)
!
What is the equation of a line that goes through the point (0,-3/5) and has a slope of -1?
\(m=-1\\ P(0,-3/5)\)
\(\color{blue}y=m(x-x_P)+y_p\\ y=-1(x-0)-0.6\\ \color{blue}y=-x-0.6\)
