Answer:
Step-by-step explanation:
Use the formule V=4/3 *Pi*R^3
where R =10
so V=4/3*Pi*10^3
v= 4000Pi/3 =4188.7902
Answer:
The intermediate step are;
1) Separate the constants from the terms in x² and x
2) Divide the equation by the coefficient of x²
3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression
Step-by-step explanation:
The function given in the question is 6·x² + 48·x + 207 = 15
The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;
6·x² + 48·x + 207 = 15
We get
1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192
6·x² + 48·x = -192
2) Dividing by 6 x² + 8·x = -32
3) Add the constant that completes the square to both sides
x² + 8·x + 16 = -32 +16 = -16
x² + 8·x + 16 = -16
4) Factorize (x + 4)² = -16
5) Compare (x + 4)² = -16 which is in the form (x + a)² = b
It is a ratio problem...
2 dogs need 144 feet = 2 : 144
Simplify the ratio = 1 : 72
Multiply both sides by 8 (8 dogs) = 1*8 :144*8
Simplify the ratio = 8 : 1152
8 dogs need 1152 feet of fencing
Hope this helps!
The tension in the cable is given by the newton's first law will be 163.622 N.
<h3>What is newton's first law?</h3>
The summation of the force is equal to zero.
The formula is given as
ΣF = 0
Where m is the mass of the body and a is the acceleration.
A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam.
Then the tension in the cable will be
Let T be the tension in the cable.
T sin 29° + T sin 53° – 210 = 0
On simplifying, we have
T (sin 29° + sin 53°) = 210
T = 163.622 N
More about the newton's first law link is given below.
brainly.com/question/974124
#SPJ1
Answer: 700
Step-by-step explanation: 2800 kg / 4 trucks = 700 kg per truck
