Answer:
23.3333333 miles per hour
23 1/3 miles per hour
10.43093333333333 meters / second
Step-by-step explanation:
Take the distance and divide by the time to find the speed
70 miles / 3 hours
1 mile = 1609.34 meters
1 hours = 3600 seconds
70 miles /3 hours * 1 mile /1609.34 meters * 1 hours / 3600 seconds
10.43093333333333 meters / second
So combine all the x and the Y on the left side and the coefficients on the right and then multiply the variable (x or Y) by the number needed for both. and then whichever variable you have left (x or y) will equal the coefficient and then divide by the coefficient
I will give you everything I can do:
11)
Lets say Car A travels at x mph. That means Car B travels at x+2 mph.
Both of them are traveling towards each others, so we can say the total speed is 2x+2.
Now i takes 3 hrs and we know the distance.
Since R*T=D
Then 3(2x+2)=270
So 2x+2=90
2x=88
x=44
12)
To find perpendicular we want to find the opposite reciprocal of the original slope. Therefore the slope is 3/2.
Now we must find the equation of the line with the given variable.
First find b.
5=3/2*4+b
b = -1
So the equation of this line is:
y=3/2x-1
13) All work will be shown below.
6-3(-2-4x)=2(3(x-4)+7)
6+6+12x=2(3x-12+7)
12+12x=2(3x-5)
12+12x=6x-10
6x=-2
x = -1/3
14)
First we must find the amount each train traveled.
The speed of F train(Freight train)=x
The speed of P train(passenger train)=x+6
Their combined speed is 2x+6
It takes 2 hrs to cover 100 miles
So 2(2x+6)=100
2x+6=50
2x=44
x=22
So the freight train covered 44 miles and the passenger train covered 56 miles.
To find average speed you must do Total Distance/Total Time.
44/2 and 56/2
Which are 22 and 28.
The average speed of F train is 22 mph and average speed of P train is 28 mph.
15) Again opposite reciprocal.
3/5 -> -5/3
Work:
-4=-3*-5/3+b
-4=5+b
b=-9
y = -5/3x-9
16)
F=kx-kx0
First kx0 = 0
So F=kx
So x=F/k
Answer:
The base angles are 36° each
Step-by-step explanation:
An isosceles triangle is a triangle that has two of its sides and base angles to be equal.
If an isosceles triangle has a vertical angle of 108°, then the base angles will share the remaining angle in the triangle equally.
Since the sum of angles in a triangle is 180°
The remaining angle in the triangle = 180°-108°
= 72°
Since the base angles are equal, this remaining two angles will share angle 72° equally.
The base angles = 72°/2
The base angles = 36°
This shows that the base angles are 36° each.
