Just substitute each number into the expression:
5(5) - 6(3) + 20(1/4)/4(3)(1/4) = 25 - 18 + 5/3 = 7 + 5/3 = 26/3 or 8 and 2/3.
Answer:
a. 
b. x = 4 (see steps below)
Step-by-step explanation:
Since the two polygons are similar, the sides are proportional to each other. Using a proportion, you can solve for 'x' using cross-multiplication and division:
Cross-multiply: 15(x + 3) = 21(x + 1)
Distribute: 15x + 45 = 21x + 21
Subtract '15x' from both sides: 15x + 45 - 15x = 21x + 21 - 15x or 45 = 6x + 21
Subtract '21' from both sides: 45 - 21 = 6x + 21 - 21 or 24 = 6x
Divide by 6 on both sides: 24/6 = 6x/6
Solve for x: x = 4
Answer:
303
Step-by-step explanation:
So the equation to find a term is An=a1+(n-1)d
An represents the value of the number (n)
and n is the selective that you want
d is the difference between the first and second term which is 23-18=5, and you can see that adding 5 to the previous term gives the following term.
a1 is the first term in the sequence
so knowing all that now you can go back and inset all variables into the equation
An=18+(58-1)5
An=303
Hope that helps :)
Please give brainliest
First you need to find the radius. To do that you need to divide the diameter by two;
45 / 2 = 22.5
Then you plug the radius in the formula for a sphere. Which is...
V = (4 / 3)πr^3
First you need to find the volume with out pi
V = (4/3) π (45)^3
V= π (4/3) (91,125)
Your answer with out pi is...
V= (68,343.75) π cm^3
And with pi is...
V = 214,708.22 cm^3
