Answer:
7. (4x +10)/(x^3 +3x^2 -16x -48)
9. -320/93
Step-by-step explanation:
7. As with adding any fractions, first you find a common denominator. When the fractions are rational expressions, it often helps to factor the denominators.
6/(x^2 -16) -2/(x^2 -x -12) = 6/((x -4)(x +4)) -2/((x -4)(x +3))
= (6(x +3) -2(x +4))/((x -4)(x +3)(x +4)) . . . . . using a common denominator
= (6x +18 -2x -8)/((x -4)(x +3)(x +4))
= (4x +10)/((x^2 -16)(x +3))
= (4x +10)/(x^3 +3x^2 -16x -48)
_____
9. First you simplify the denominator:
2/25 -5/16 = (2·16 -5·25)/(25·16) = -93/400
Then you perform the division. This can be done by multiplying by the inverse of the denominator.
(4/5)/(2/5 -5/16) = (4/5)·(-400/93) = -320/93
Answer:
The volume of the tank is 1235ft³
Step-by-step explanation:
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 13ft
π = 3.14
r = radius = 5.5ft
v = (π * r²) * h
we replace the unknowns with the values we know
v = (3.14 * (5.5ft)²) * 13ft
v = (3.14 * 30.25ft²) * 13ft
v = 94.985ft² * 13ft
v = 1234.805ft³
Round to the nearest whole number
v = 1234.805ft³ = v = 1235ft³
HL congruence theorem is the answer.
Hope this helps :)
The triangles are congruent. So.
Triangle ABC is 24 inch^2 and BC is 4 inches.
The area of a triangle is 0.5 x base x height. The will be 12 because 12 x 4 x 0.5 which equals 24.
Triangle DEF is half the size of ABC because bc is 4 and EF is 2 showing it’s half. This then means the height will be half which then mean it will be 6.
This then means we can use the equation to work it out. So. 6 x 0.5 x 2 = 6in^2
The answer is 6inches^2
If you want the angle it’s 22
In all triangles the angles must add up to 180 so 68 + 90 =158 + 22 =180
