Answer: all are congruent, sorry, don't completely remember this but I tried
Step-by-step explanation:
Answer:
Step-by-step explanation:
We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is where we substitute a point (x,y) for .
We have m=-3/4 and (-8, 7). We input m and .
We now simplify the parenthesis and solve for y.
We convert 8 into a fraction with 1 as the denoinator.
We add 7 to both sides to isolate y,
This is slope intercept form. The line as slope -3/4 and y-intercept (0,1) or b=1.
Answer:
360 for first place and 240 for second
Step-by-step explanation:
Let's say f is the first place prize, and s is the second prize.
Amaal: 4f + 2s = 1920
Brian: f + 3s = 1080
Now we can isolate and substitute.
f = 1080 - 3s
4(1080 - 3s) + 2s = 1920
4320 - 12s + 2s = 1920
10s = 4320 - 1920
10s = 2400
s = 240
f = 1080 - 3*240
= 1080 - 720
= 360
Answer:
<h2>
The area of the sector is 40πcm²</h2>
Step-by-step explanation:
The question looks incomplete. Here is the restructured question.
"A sector with a radius of 8cm has a central angle measure of 225°. Find the area of the sector"
Formula for calculating the area of the sector is given as shown;
Area of a sector=
is the central angle and r is the radius of the circle.
Given radius = 8 cm and = 225°
On substitution, area of a sector =
The area of the sector is 40πcm²
Answer:
5.0
Step-by-step explanation:
If we call the intensity of the larger quake I2, and that of the smaller quake I1, then we want to find I2/I1.
The log of that ratio is given by ...
log(I2/I1) = log(I2) -log(I1)
= R2 -R1
= 8.2 -7.5
log(I2/I1) = 0.7
Taking antilogs, we have ...
I2/I1 = 10^0.7
I2/I1 = 5.0
The stronger quake is 5.0 times as intense as the lesser one.