Solve for b as shown in the figure.
9 years ago
If $\theta$ is an acute angle of a right triangle where $\sin \theta = x/2$, compute the value of $\sin 2\theta$ in terms of $x$.
9 years ago
Find $\tan \beta$ from the given figure.
9 years ago
From the given right triangle what is the value of $3 \sin^2 \varphi \, \sec \varphi$ in terms of $x$.
9 years ago
Area outside equilateral triangle available for grazing by the goat.
9 years ago
Find the area of the sector inside the square ABCD.
9 years ago
Find the value of $x = \sin^2 \varphi - \cos^2 \varphi$ if $\varphi$ is $\pi / 4$ or $45^\circ$.
9 years ago
Which of the following is equal to $\dfrac{\sin \theta}{1 + \cos \theta}$.
9 years ago
Find the value of x if $x = \dfrac{1 + \tan^2 \phi}{\tan \phi \, \csc^2 \phi}$.
9 years ago
Solve for x if ln (x + 1) = 1 + ln x.
9 years ago
A bacterial culture is growing according to the formula y = 10,000e^{0.6x) where x is the time in days. Estimate the number of bacteria after one week.
9 years ago
A radioactive substance is decaying (it is changing into another element) according to the formula y = Ae^(-0.2x)
9 years ago
Solve for x if log_x (2x)^(3x) = 4x.
9 years ago
Solve for x if (x + 2) log_b b^x = x.
9 years ago
Solve for x if log_3 2x - log_3 (x + 5) = 0.
9 years ago
Determine the value of x if log (x^3 - 1) - log (x^2 + x + 1) = 1.
9 years ago
Solve for x if 2 log25 x - log25 (25 - 4x) = 1/2.
9 years ago
Solve for x if log8 (x - 6) + log8 (x + 6) = 2.
9 years ago
If $\log_x 2 = 1.2a$ and $\log_x 3 = 1.5a$, find $\log_x \sqrt{12}$ .
9 years ago
Solve for y if y = log_2 (log_4 256).
9 years ago
ELLIPSE PERIMETER
9 years ago
Solve for y if y = log_100 10.
9 years ago
Solve for x if log_x 8 = 3/4.
9 years ago
Solve for x: $5^{2x + 1} \times 7^{2x} = 175$.
9 years ago
Solve for x if $5^{x^2} = 625$.
9 years ago
Solve for x from $\sqrt{x - 7} - \sqrt{x} = 1$.
9 years ago
Solve for x if $\sqrt[3]{x^2} + \sqrt[3]{x} - 20 = 0$.
9 years ago
Decompose the given term into partial fraction and compute for the value of A: (7x + 17) / (x + 3)^2
9 years ago
Decompose (6x^2 + x - 37) / (x - 3)(x + 2)(x - 1) into partial fractions A/(x - 3) + B/(x + 2) + C/(x - 1) and solve for C.
9 years ago
Find k so that x + 6 is a factor of x^4 + 4x^3 - 21x^2 + kx + 108.
9 years ago
The resistance of the flow of electricity through a wire depends on the length and thickness of the wire.
9 years ago
According to Boyle’s law, the pressure P of a compressed gas is inversely proportional to the volume V.
9 years ago
According to Hooke’s law, the force F required to stretched a spring of x units is directly proportional to the length x.
9 years ago
A bookstore has a stock of 30 paperback copies of Surveying as well as 50 hardcover copies of the same book.
9 years ago
A certain university gives 4 points per credit for a grade A, 3 points per credit for B, 2 points per credit for grade C, a point per credit for grade D, and zero for an F.
9 years ago
The denominator of a certain fraction is 1 more than the numerator. If the numerator is increased by 2 and 1/2, the value will be equal to the reciprocal of the original fraction. Find the original fraction.
9 years ago
One pipe can empty a tank in 3 hours. A second pipe takes 4 hours to complete the same job. How long will it take to empty the tank if both pipes are used?
9 years ago
A student received grades of 72, 75, and 78 on three tests. What must her score in the next test be for her to have an average grade of 80 for all four tests?
9 years ago
A company’s daily profit P in pesos, is given by the equation P = -2x^2 + 120x - 800
9 years ago
The graph of y = ax^2 + c has its vertex at (0, 4) and passes through the point (3, -5)
9 years ago
Solve for the determinants: $\begin{vmatrix}1 & 2 & 3 \\ 2 & -1 & 4 \\-1 & -1 & -5\end{vmatrix}$
9 years ago
Solve for $x$ if $\begin{vmatrix}x & 2 \\ 5 & 3\end{vmatrix} = 8$
9 years ago
Evaluate $\begin{vmatrix}8 & -20 \\ 4 & 10\end{vmatrix}$.
9 years ago
A student in a chemistry laboratory wants to form a 32 milliliter mixture of two solutions to contain 30% acid.
9 years ago
A line with equation ax + by = 3 passes through (6, 3) and (-1, -1). Find a and b without finding the slope.
9 years ago
Find the equation of a line having a slope of 2 and y-intercept of 3.
9 years ago
Find the equation of a line with slope 2/3 passing through point (0, -5).
9 years ago
Find the slope of the line determined by the points (-3, 4) and (1, -6).
9 years ago
Simplify $2\sqrt{8x^3} + 3x\sqrt{32x} - x\sqrt{18x}$
9 years ago
$b^{m/n}$ could be expressed as...
9 years ago