Answer:
The linear speed in which Darlene is traveling is 24.74 miles per hour.
Step-by-step explanation:
The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed (
), measured in inches per second, is defined by following expression:
(1)
Where:
- Radius of the wheel, measured in inches.
- Angular speed, measured in radians per second.
If we know that 
and 
, then the linear speed, measured in miles per hour, in which Darlene is traveling is:
The linear speed in which Darlene is traveling is 24.74 miles per hour.
Answer:
Step-by-step explanation:
So you should know. Can you give us a better picture?
Let the number be 'a':
The difference of the square of a number and 4
a^2 -4
is equal to 3 times that number.
= 3*a
a^2 -4 =3a
a^2 -3a -4=0
(a-4) (a+1)=0
solutions are: 4 and -1
Your question can be quite confusing, but I think the gist of the question when paraphrased is: P<span>rove that the perpendiculars drawn from any point within the angle are equal if it lies on the angle bisector?
Please refer to the picture attached as a guide you through the steps of the proofs. First. construct any angle like </span>∠ABC. Next, construct an angle bisector. This is the line segment that starts from the vertex of an angle, and extends outwards such that it divides the angle into two equal parts. That would be line segment AD. Now, construct perpendicular line from the end of the angle bisector to the two other arms of the angle. This lines should form a right angle as denoted by the squares which means 90° angles. As you can see, you formed two triangles: ΔABD and ΔADC. They have congruent angles α and β as formed by the angle bisector. Then, the two right angles are also congruent. The common side AD is also congruent with respect to each of the triangles. Therefore, by Angle-Angle-Side or AAS postulate, the two triangles are congruent. That means that perpendiculars drawn from any point within the angle are equal when it lies on the angle bisector
Answer:
The cost of each ice cream cone is $4.50
The cost of each ice cream basket is $3.75
The cost of each donut is $1.50
Step-by-step explanation:
Let
x-----> the cost of the ice cream cone
y----> the cost of the ice cream basket
z---> the cost of the donut
we know that
2x+y=12.75 ------> y=12.75-2x ------> equation A
x+2z=7.50 ------> z=(7.50-x)/2 -----> equation B
x+y+z=9.75 ----> equation C
substitute equation A and equation B in equation C and solve for x
x+(12.75-2x)+((7.50-x)/2)=9.75
Multiply by 2 both sides
2x+25.50-4x+7.50-x=19.50
3x=25.50+7.5-19.50
3x=13.5
x=$4.50
Find the value of y
y=12.75-2(4.50)=$3.75
Find the value of z
z=(7.50-4.50)/2=$1.50
therefore
The cost of each ice cream cone is $4.50
The cost of each ice cream basket is $3.75
The cost of each donut is $1.50
