Answer:
36.67
Step-by-step explanation:
11/5=2.2
let the unknown no be x
6% of x=2.2
6/100 * x = 2.2
6x = 2.2*100
x = 220/6
x= 36.67
Well, your equation y=3/SQRT(3x+4) should be rationalized, but that's not what you want.
If f(x) = 3/SQRT(x+4) and g(x) = 3x
f(g(x)) then = 3/SQRT(3x+4), but rationalizing this = 3SQRT(3x+4)/(3x+4)
Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
Answer:
47.0
Step-by-step explanation:
In this right angle triangle, we are faced with a challenge of two sides. The opposite side and the adjacent side, hence the tangent is used.
Where it is the opposite side and hypothenus side, the sine is used and when it is the hypothenus side and adjacent side, the cosine is used.
Hence, we have tan62°=x/25
We cross multiply, to have
25(tan 62°)= x
x = 47.01816
In rounding up numbers, number 1 to 4 will be rounded up to zero, while numbers 5 to 9 will be rounded up to 1.
Rounding up 47.01816 to the nearest tenth. The tenth value is the figure is 0, before it we have 1, which is to hundredth. 1 will be rounded up to zero.
So we have 47.0
Answer:
x=-38
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x−6)−2(2x+3)=14
(3)(x)+(3)(−6)+(−2)(2x)+(−2)(3)=14(Distribute)
3x+−18+−4x+−6=14
(3x+−4x)+(−18+−6)=14(Combine Like Terms)
−x+−24=14
−x−24=14
Step 2: Add 24 to both sides.
−x−24+24=14+24
−x=38
Step 3: Divide both sides by -1.
−x
−1
=
38
−1
x=−38