Answer:
Her average speed was 48..88 mph
Step-by-step explanation:
Use a rule of 3 to find the time she traveled at 60 mph:
60 miles ----------1 hour
40 miles ---------- x
60x = 40
x = 40/60 = 0.67 hours
She traveled 40+50= 90 miles
During 1.25+0.67= 1.92 hours
90/1.92 = 48.88 mph
First, you need your slope. this can be found by the slope formula: m = (y2 - y1)/(x2 - x1)
(3, -4) and (-4, 4)
(x1, y1) and (x2, y2)
m = (4 - -4)/(-4 - 3)
m = (8)/(-7)
so your slope is -8/7
now, to find a line through the given points, the only piece of information you're missing is your y-intercept. you just have to pick one point and plug it into slope-intercept form: y = mx + b, then solve for b
(-4) = (-8/7)(3) + b
-4 = -24/7 + b
-4/7 = b
so plug all of it into y = mx + b:
y = (-8/7)x - 4/7
Answer: No it is not a right triangle. It is an obtuse scalene triangle.
Answer:
Length = 502 ft
Width = 212 ft
Step-by-step explanation:
Recall the formula for the perimeter of a rectangle of length "L" and width "W":
Perimeter = 2 L + 2 W = 1428 ft
Now, since the length is 78 ft more than twice the width, then we can write this in mathematical form as:
L = 2 W +78
so, 2 W = L -7 8
and now replace "2 W" with it equivalent "L - 78" in the first perimeter equation and solve for "L":
2 L + L - 78 = 1428
3 L = 1428 + 78
3 L = 1506
L = 1506/3
L = 502 ft
Then the width W can be obtained via:
2 W = L - 78
2 w = 502 -78
2 W = 424
w = 212 ft
Answer:
Step-by-step explanation:
we can use the trigonometric function in a right triangle
cos x = adjacent side to the angle /hypothenuse
cos 36°= x/10 ; multiply both sides by 10
10 * cos 36° = x ; make sure your calculator mode is in degrees
8.1 = x