Answer:
120th caller
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
$100 bill = 30th caller
Movie tickets = 40th caller
So, to find out first to win both prizes, we will use LCM method,
LCM of 30 and 40 = 10 | 30 , 40
| 3 , 4
LCM of 30 and 40 = 10 × 3 × 4 = 120
Hence, 120th caller will be the first to win both prizes.
Answer:
Fn= 174.9 N : Magnitude of the net force the people exert on the donkey.
Step-by-step explanation:
We find the components of the forces in x-y-z
Force of Jack in z =F₁z=90.5 N in direction (+z)
Force of Jill in x = F₂x= -82.3*cos45°= - 58.19 N (-x)
Force of Jill in y =F₂y=-82.3*sin45°= + 58.19 N (+y)
Force of Jane in x =F₃x=125*cos45°= + 88.4 N (+x)
Force of Jane in y =F₃y=125*sin45°= + 88.4 N (+y)
Calculating of the components of the net force the people exert on the donkey.
Fnx= F₂x+F₃x=( - 58.19+ 88.4 )N=30.2N (+x)
Fny= F₂y+F₃y=( 58.19+88.4 ) = 146.59 N (+y)
Fnz =F₁z=90.5 N (+z)
Calculating of the magnitude of the net force the people exert on the donkey.
Answer:
1/2 gallons
Step-by-step explanation:
since 1/3of the tank is already full and another 4 gallons fills it up
4 gallons= 2/3 of the tank or the tank is 6 gallons total
75% is equal to 3/4
6*3/4=4 1/2 gallons
since it is 1/3 or 4 gallons full
4 1/2 -4= 1/2
Answer: See explanation
Step-by-step explanation:
Since we given the information that Jordan is preparing serving of baby carrots and that he has 96 baby carrots, while each serving is 12 carats.
The number of shearings that Jordan can prepare will be:
= 96 / 12
= 8
From the above calculation, there won't be any carrots left since we do not have a remainder.
1- The circumcenter refers to the central point or focal point of the circle which experiences the three vertices of the triangle. Review that all radii of a circle are congruent, i.e. equivalent to each other. So this is the reason the circumcenter is equidistant from the vertices of the triangle. The perpendicular bisectors are used to form the circumcenter, so the concurrency of perpendicular bisector theorem also explains.
2- The picture is not given.
3-The answer is right triangle.
In a right triangle, midpoint of hypotenuse is at equal distance from all the 3 vertices. So that is focal point of the circle going through all its 3 vertices. A right-angled triangle is a triangle which have one right angle. The connection between the sides and points of a right triangle is the reason for trigonometry. The side which lies as the opposite to the right angle is known as the hypotenuse.
4- The coordinates of the circumcenter of ABC with the vertices A(0,0), B(3,0), and C(3,2) is (1.5,1)
For the given triangle, vertex A lies on starting point; Vertex B lies on x-axis; and vertex C lies on hold parallel to y-axis. ==> AB along x-axis and BC opposite to AB. So the triangle ABC is a right triangle with its vertex B = 90 deg and AC has the hypotenuse. For a right triangle its circumcentre is the midpoint of hypotenuse. Consequently here the midpoint of AC = (1.5, 1), is the circumcenter of the triangle ABC.
