Answer:
x=2
Step-by-step explanation:
Convert the Y to 3x since we know that y=3x.
You would get x+3x=8.
Add the x and 3x to get 4x
Then, you would get 4x=8.
Divide by 4 on both sides to get x=2.
These statistics are impossible: all students who ride bike and use crossing guard ride a bike, so the proportion of students who ride a bike and use the crossing guard must be less than or equal to the proportion of students who ride a bike. This is not true in the given stats; 0.12 > 0.1
Answer:
25
Step-by-step explanation:
b=4x+1 h=x+1 A=175
A=bh
Substitute: 175=(4x+1)(x+1)
Expand: 175=4x^2+5x+1
Subtract 175
4x^2+5x-174=0
Solve w/quadratic formula
(-5 <u>+</u> sqrt(25+2784))/8
Simplify: x=6 or -29/4
Distance is positive, so x=6
4x+1=4*6+1=25
Answer:
The distance is 5.20m
Step-by-step explanation:
Here, we want to get the height of the ladder
To get this, we need to understand that we have a right triangle, with the base of the triangle as 3 m, the angle at the downward part is 60, and we want to get the height of the triangle
The angle here faces the height we want to calculate
This height is known as the opposite
What we have is the adjacent
Now, the trigonometric identity that relates the opposite and the adjacent is the tan
The tangent of an angle is the ratio of the opposite to the adjacent
Mathematically;
tan 60 = h/3
h = 3 tan 60
h = 5.20 m
The ladder is at a height of 5.20 m above the ground
Answer:
circumference=50.24 cm
area=200.96 cm²
Step-by-step explanation:
r=16/2=8
circumference=2πr=2×3.14×8=50.24 cm
area=πr^2=3.14×8²=200.96 cm²
