Answer:
<h2>A 16mm</h2>
Step-by-step explanation:
An equilateral triangle is a triangle that has all of its sides equal.
Perimeter of an equilaterial triangle = 3s where;
s is one side of the triangle.
Given the perimeter of ABC = 96mm
Substituting into the formula above to get s;
96 = 3s
s = 96/3
s = 32mm
Hence the length of one side of the triangle is 32mm
If a perpendicular bisector is drawn from angle A to side Line segment B C at point M, then MC will be half of BC and ΔAMC will be a right angled triangle.
Since all the sides of the triangle are equal, hence BC = 32mm. Since MC is the half of BC, then MC = 1/2 of 32mm
MC = 1/2 * 32mm
MC = 16mm
<em>Hence the length of Line segment MC is 16mm</em>
<em></em>
Answer:
Edg.enuity answers
Step-by-step explanation:
1. Atmosphere- 8.90118
2. Oceans- 2.44346
3. Crust- 4.53786
4. Inner Core- 1.68861
5. Outer Core- 3.20268
6. Mantle- 7.05637
Answer:
D
Step-by-step explanation:
We calculate the z-score for each
Mathematically;
z-score = (x-mean)/SD
z1 = (1.9-2.1)/0.2 = -1
z2 = (2.3-2.1)/0.2 = 1
So the proportion we want to calculate is;
P(-1<x<1)
We use the standard score table for this ;
P(-1<x<1) = P(x<1) -P(x<-1) = 0.68269 which is approximately 68%
Answer:
<h2>14mph</h2>
Step-by-step explanation:
Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;
m = −0.05x²+3.5x−49
when m= 9
9 = −0.05x²+3.5x−49
−0.05x²+3.5x−49 = 9
0.05x²-3.5x+49 = -9
Multiplying through by 100
5x²+350x−4900 = 900
Dividing through by 5;
x²+70x−980 = 180
x²+70x−980 - 180 = 0
x²+70x−1160 = 0
Using the general formula to get x;
a = 1, b = 70, c = -1160
x = -70±√70²-4(1)(-1160)/2
x = -70±√4900+4640)/2
x = -70±(√4900+4640)/2
x = -70±√9540/2
x = -70±97.7/2
x = -70+97.7/2
x = 27.7/2
x = 13.85mph
x ≈ 14 mph
Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph
The answer to the equation is -25
