# Emmanuel ugbor

### Emmanuel's Recent Activity

Emmanuel provided a contribution 3 years ago

Emmanuel provided a contribution 3 years ago

y is inversely proportional to the square of x. When x = 3, then y = 4. Find the… | Mathematics Past Questions

Y~1/x² (Pardon the proportionality sign)
Y=k/x²
K=yx²
Substitute the values
K=4×3²
k=36

Emmanuel provided a contribution 3 years ago

The frequency distribution below shows the ages of students in a secondary schoo… | Mathematics Past Questions

The total number of students is 100
And 30 students are 15 years old
To turn it to angle,
30/100×360
That's 108°

Emmanuel provided a contribution 3 years ago

A school boy lying on the ground 30m away from the foot of a water tank tower ob… | Mathematics Past Questions

Drawing the triangle, you have the angle of 60° the adjacent 30 and opposite x
We are looking for x so we use the function that has these three values that's tan
Tan 60= x/30
X= tan 60 x 30
That's 51.96m

Emmanuel provided a contribution 3 years ago

Factorize completely the expression abx$$^2$$ + 6y – 3ax – 2byx. | Mathematics Past Questions

Collect terms that look closest to each other
(abx²-2byx)(6y-3ax)
What's common?
bx(ax-2y)-3(-2y-ax)
Note: always make sure the terms in both brackets are same to know if you're getting it
Collect the ones outside the brackets
(ax-2y)(bx-3)

Emmanuel provided a contribution 3 years ago

Express the product of 0.0014 and 0.011 in standard form. | Mathematics Past Questions

Turn them to standard form first
14×10^-⁴ and 11×10^-³
Multiply 14 by 11 that's 154
Multiply the standard forms too
So, 10^-⁴ × 10^-³=10^-³-⁴= 10^-7
The answer is 154×10^-7 then turn it to the form of the options that's 1.54×10^-5

Emmanuel provided a contribution 3 years ago

A pyramid is constructed on a cuboid. The figure has | Mathematics Past Questions

Just count the number of lines to draw the image...you get 16...that's 16 edges
It has 9 faces and 9 vertices

Emmanuel provided a contribution 3 years ago

X sold an article to Y at a profit of 20%. Y then sold it to Z at a loss of 20% … | Mathematics Past Questions

Let's say the original price is 100₦
X sold it at a profit of 20% to y
20/100×100 that's 20₦ +100. =₦ 120
Y bought at 120...then y sold at a loss of 20%
So
20/100×120 is 24
120-24=96₦
Y sold it at 96 naira to z
So
96:100 24:25

Emmanuel provided a contribution 3 years ago

Express $$\cfrac{3s – 1}{(s + 1)(s – 3)}$$ as partial fractions | Mathematics Past Questions

Do trial and error...the one that gives you back the question is the answer

Emmanuel provided a contribution 3 years ago

A steel ball of radius 1cm is dropped into a cylinder of radius 2cm and height 4… | Mathematics Past Questions

Volume of a sphere is 4/3πr² and volume of a cylinder is πr²h putting in the values,
Volume of a sphere is 4/3π and Vol of cylinder is 16π
Subtract the volume of the sphere from the cylinder and you get optionA