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Prove the identity: $\dfrac{\sin{\theta}  \tan{\theta}.\cos^{2}{\theta}}{\cos{\theta}  1 + \sin^{2}{\theta}} = \tan{\theta}$
answered
Apr 22, 2020
in
Mathematics

624
views
sine
cosine
identity
trigonometry
beta
alpha
derive
0
like
0
dislike
One line passes through the coordinates (1;2) and (1, 2); another line passes through the points (2;0) and (0;4). Are these lines parallel, perpendicular or neither?
answered
Apr 22, 2020
in
Mathematics

521
views
theorem
geometry
perperndicular
line
equation
coordinates
chord
0
like
0
dislike
Solve for $x$ in the exponential equation $3^{2x1}=27^{2x1}$
answered
Apr 22, 2020
in
Mathematics

439
views
equation
solve
exponential
algebra
exponents
logarithms
theorem
0
like
0
dislike
If $\log_{x} \frac{1}{ 8} = \frac{ 3}{ 2}$, then $x$ is equal to
answered
Apr 22, 2020
in
Mathematics

226
views
calculate
fraction
ratio
equation
theorem
solve
logarithms
0
like
0
dislike
factorise ${x}^{2}+8x+15$
answered
Apr 22, 2020
in
Mathematics

169
views
factorise
algebra
expression
0
like
0
dislike
A single box has 9 crayons. How many crayons will 3 boxes have?
answered
Apr 16, 2020
in
Mathematics

194
views
single
box
crayons
3
like
0
dislike
Arrange the following numbers from the smallest to the greatest:
answered
Apr 16, 2020
in
Mathematics

2,172
views
arrange
numbers
smallest
greatest
ascending
order
1
like
0
dislike
Mother has six apples to share equally between her 2 children. How many apples will each child get?
answered
Apr 16, 2020
in
Mathematics

400
views
fraction
ratio
children
sharing
0
like
0
dislike
Given: $f (x) = x3 – 7x^{2} + 36$. Determine the first derivative of $f$, and name it $g$.
answered
Apr 13, 2020
in
Mathematics

398
views
differentiation
calculus
rules
chainrule
sum
0
like
0
dislike
From first principles, determine the derivatives of the following:
answered
Apr 13, 2020
in
Mathematics

187
views
calculus
calculate
gradient
sum
differentiation
rules
0
like
0
dislike
Is it true that a stationary object has no forces acting on it?
answered
Apr 13, 2020
in
Physics & Chemistry

1,890
views
stationary
object
forces
acting
0
like
0
dislike
What do physicists mean by the term "free fall"?
answered
Apr 13, 2020
in
Physics & Chemistry

530
views
physicists
free
fall
0
like
0
dislike
Is $12 + 2 + 10$ bigger than $13 + 15$?
answered
Apr 13, 2020
in
Mathematics

164
views
inequality
compare
bigger
smaller
0
like
0
dislike
Which number is smaller between 914 and 954?
answered
Apr 13, 2020
in
Mathematics

163
views
numbers
comparison
smaller
bigger
1
like
0
dislike
A company bought machinery costing R80 000. Using the reducing balance method, the machinery had a book value of R20 000 after 5 years. Calculate the rate of depreciation
answered
Apr 13, 2020
in
Mathematics

841
views
price
cost
depreciation
reducingbalance
method
calculate
1
like
0
dislike
Solve the equation $2x + 6 = 0$
answered
Apr 13, 2020
in
Mathematics

150
views
algebra
solve
equation
exponents
simplify
1
like
0
dislike
Solve (x + 4)(x − 4) = 0
answered
Apr 13, 2020
in
Mathematics

104
views
algebra
expression
solve
differenceoftwosquares
1
like
0
dislike
Simplify $(x+ 3)^2 + 4$
answered
Apr 13, 2020
in
Mathematics

213
views
algebra
exponents
simplify
expression
0
like
0
dislike
Simplify $\frac{3x + 2}{2} + \frac{3 + }{3} − \frac{7}{6}$
answered
Apr 13, 2020
in
Mathematics

170
views
exponents
algebra
simplify
expression
0
like
0
dislike
What are the next 3 numbers in the sequence 3,7,11,15,19,... ?
answered
Apr 13, 2020
in
Mathematics

976
views
sequence
patterns
grade
10
0
like
0
dislike
How do I solve the exponential equation $2\times 3^{x} = 54$ ?
answered
Apr 13, 2020
in
Mathematics

272
views
equation
solve
exponents
algebra
0
like
0
dislike
Please help me simplify this exponential algebraic expression.
answered
Apr 13, 2020
in
Mathematics

247
views
algebra
expression
exponents
simplify
0
like
1
dislike
The temperature is $3^{\circ}$C and it increased by $17^{\circ}$C. WHat is the new temperature?
answered
Apr 13, 2020
in
Mathematics

478
views
temperature
increase
decease
directednumbers
0
like
0
dislike
What is the smallest prime number?
answered
Apr 13, 2020
in
Mathematics

138
views
numbers
primenumbers
problemsolving
0
like
0
dislike
Solve $x^2 + 7x+ 6 0$
answered
Apr 13, 2020
in
Mathematics

127
views
algebra
solve
equation
exponents
simplify
0
like
0
dislike
Calculate $2^3 \times 2^{5}$
answered
Apr 13, 2020
in
Mathematics

147
views
exponents
multiplication
laws
0
like
0
dislike
Solve $x^2 81 =0$
answered
Apr 13, 2020
in
Mathematics

153
views
solve
algebra
equation
exponents
simplify
0
like
0
dislike
Evaluate $\frac{3^5\times 2^4}{6^2}$
answered
Apr 13, 2020
in
Mathematics

173
views
exponents
multiplication
laws
fractions
algebra
0
like
0
dislike
Simplify $\frac{5x^3 \times (2x)^2}{ 20x^4}$ if $x$ ≠ 0
answered
Apr 13, 2020
in
Mathematics

383
views
exponents
algebra
multiplication
laws
fractions
0
like
0
dislike
A workman cuts off 1/5 th of a pipe. The piece he cut off was 3 metres long. How many metres long was the original pipe?
answered
Apr 13, 2020
in
Mathematics

2,220
views
fraction
division
workman
piece
pipe
0
like
0
dislike
Simplify 3(x − 1) − 4(x − 2)
answered
Apr 13, 2020
in
Mathematics

134
views
simplify
algebra
exponents
expression
1
like
0
dislike
Solve the equation $4(x  1) + 2(2x  3)  2 = 15  x + 3(3  x)$
answered
Apr 13, 2020
in
Mathematics

230
views
equation
solve
grade8
1
like
0
dislike
What is a right angle?
answered
Apr 13, 2020
in
Mathematics

155
views
angle
right
0
like
0
dislike
WHat are cointerior angles?
answered
Apr 13, 2020
in
Mathematics

221
views
complementary
angles
degrees
corresponding
problemsolving
0
like
0
dislike
If $\frac{5x}{2} = 10$ then what is the value of $x$?
answered
Apr 13, 2020
in
Mathematics

219
views
questions
problemsolving
equations
0
like
0
dislike
What is an obtuse angle?
answered
Apr 13, 2020
in
Mathematics

353
views
obtuse
angle
0
like
0
dislike
What is the difference between $\sqrt{81 + 4}$ and $\sqrt{81} + \sqrt{4}$?
answered
Apr 13, 2020
in
Mathematics

314
views
questions
squareroot
laws
exponents
1
like
0
dislike
What is an acute angle?
answered
Apr 13, 2020
in
Mathematics

223
views
acute
angle
1
like
0
dislike
Complete the following: $\frac{3}{4} = \frac{}{12} = \frac{}{32} = \frac{}{52}$
answered
Apr 13, 2020
in
Mathematics

231
views
values
fractions
equivalence
0
like
0
dislike
Evaluate 125% of 150
answered
Apr 13, 2020
in
Mathematics

216
views
grade8
percentage
numbers
1
like
0
dislike
SImplify $5\frac{1}{3} \times 6\frac{2}{5}$
answered
Apr 13, 2020
in
Mathematics

182
views
fractions
multiplication
1
like
0
dislike
24% of $\frac{5}{6}$ is
answered
Apr 13, 2020
in
Mathematics

160
views
fractions
decimals
percentages
1
like
0
dislike
Solve $5(p  1)  (1  2p) = 8$
answered
Apr 13, 2020
in
Mathematics

238
views
solve
equations
0
like
0
dislike
Solve $2(2  x) = 3( x +3)$
answered
Apr 13, 2020
in
Mathematics

127
views
algebra
solve
equation
1
like
0
dislike
Solve the equation $4x  7 = 2x + 13$
answered
Apr 13, 2020
in
Mathematics

155
views
solve
equation
algebra
1
like
0
dislike
Whats the difference between complementary and supplementary angles?
answered
Apr 13, 2020
in
Mathematics

588
views
complementary
supplementary
angles
1
like
0
dislike
FInd the value of angle $x$ if $2x + x+ 75^{\circ}$
answered
Apr 13, 2020
in
Mathematics

210
views
angles
grade8
1
like
0
dislike
Determine $\lim_{x \to 10}\frac{x^2100}{x10}$
answered
Apr 13, 2020
in
Mathematics

261
views
limits
calculus
1
like
0
dislike
Simplify $\dfrac{2^{n+2}.4^{n+1}}{8^{n1}}$ without using a calculator
answered
Apr 13, 2020
in
Mathematics

267
views
exponents
logarithms
simplify
calculator
1
like
0
dislike
A school buys tablets at a cost of R140 000. If the average rate of inflation is 6.1% per annum over the next 4 years, determine the cost of replacing these tablets in 4 years' time
answered
Apr 13, 2020
in
Mathematics

364
views
calculate
cost
interest
simple
price
inflation
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