Answer:
The quotient = 4x - 17 and the remainder = 54
Step-by-step explanation:
The quotient = 4x - 17 and the remainder = 54
Step-by-step explanation:
We dimension of the smallest cube to be made from cuboids of sides 3 m , 4 m and 5 m will be the least common multiple of 3 m, 4 m and 5 m i.e. 60 m
12 cuboidal should be stacked along 5 m edge to 60 m, 15 cuboids should be stacked along 4 m edge and 20. cuboids should be stacked along edge to make a cube of 60 m edge, Hence number of cuboids are 12× 15 ×20=3600
hope it helps
STEP
1
:
Equation at the end of step 1
((3 • (x3)) - (32•5x2)) + 150 = 0
STEP
2
:
Equation at the end of step
2
:
(3x3 - (32•5x2)) + 150 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
3x3 - 45x2 + 150 = 3 • (x3 - 15x2 + 50)
Polynomial Roots Calculator :
4.2 Find roots (zeroes) of : F(x) = x3 - 15x2 + 50
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is 50.
The factor(s) are:
Answer:
Suppose: M, N, P, Q are the midpoints of AB, BC, CD, AD respectively
=> MNPQ is the quadrilateral inside ABCD
connect B to D, ΔABD has : M is the midpoint of AB
Q is the midpoint of AD
=> MQ is the midpoint polygon of ΔABD
=> MQ // BD and MQ = 1/2.BD (1)
ΔBCD has: N is the midpoint of BC
P is the midpoint of DC
=> NP is the midpoint polygon of ΔBCD
=> NP // BD and NP = 1/2.BD (2)
from (1) and (2) => MQ // NP ( //BD)
MQ = NP (=1/2.BD)
=> MNPQ is a parallelogram.
=> the quadrilateral inside ABCD is a parallelogram.
Step-by-step explanation:
this is the answer to this question - Two weather tracking stations are on the equator 146 miles apart. A weather balloon is located on a bearing of N 35°E from the western station and on a bearing of N 23°E from the eastern station. How far is the balloon from the western station?
Answer:
Reasons:
The given parameters are;
Distance between the two stations = 146 miles
Location of the weather balloon from the Western station = N35°E
Location of the weather balloon from the Eastern station = N23°E
The location of the station = On the equator
Required:
The distance of the balloon from the Western station
Solution:
- The angle formed between the horizontal, and the line from the Western station
to the balloon = 90° - 35° = 55°
- The angle formed between the horizontal, and the line from the Eastern station
to the balloon = 90° + 23° = 113°
The angle at the vertex of the triangle formed by the balloon and the two stations is 180° - (55 + 113)° = 12°
By sine rule,
Distance from balloon to western station = 146/sin(12 dg) = Distance from balloon to western station/sin(113 dg)
Therefore;
Distance from balloon to western station = 146/sin(12 dg) x sin(113 dg) ~ 646.4
Step-by-step explanation:
