Recent questions and answers in Math

If the area of the shaded region is $K \pi$, what is the value of K

answered Dec 8, 2020 by jrnayak007

1 answer

Charlene earns $\$150$ more per week than her roommate Kristi, who earns $\$200$ less than her other roommate Sacha. Together the three friends earn $\$2050$ per week. How much does each girl earn per week ?

answered Jul 9, 2020 by vijisuchy1963

1 answer

At a primate reserve, the mean age of all the male primates is 15 years, and the mean age of all female primates is 19 years. Which of the following must be true about the mean age $m$ of all the combined group of male and female primates of the primate reserve ?

answered Jun 1, 2020 by pkwasi1

2 answers

If $\overline{PQ} \cong \overline{AB}$ and $\overline{AB} \cong \overline{CD}$, then $\overline{PQ} \cong \overline{CD}$. Which of the properties below does the lines signify ?

answered May 20, 2020 by meena.clay6

1 answer

$d$ and $m$ are the parallel tangent at $A$ and $B$. The tangent at $C$ makes an intercept $DE$ between $d$ and $m$. Hence $\angle{DFE}$ = ________

answered May 16, 2020 by pady_1

1 answer

A line intersects the $y$ axis and $x$ axis at the points $P$ and $Q$ respectively. If $(2,-5)$ is the mid point of $PQ$, then the coordinates of $P$ and $Q$ are

answered Apr 18, 2020 by pkiran3639

2 answers

An object has mass $m=\frac{p+1}{3p+1}$ and density $\rho = \frac{p^2-1}{9p^2+6p+1}$. Determine the volume $v$ where $\rho = \frac{m}{v}$. Also state the restrictions on any variables.

answered Apr 11, 2020 by arpit157.15

2 answers

The vertex of the parabola in the $x-y$ plane above is $(0,c)$. Which of the following is true about the parabola with the equation $y=a(x-b)^2+c ?$

answered Mar 30, 2020 by wynso.nonoz

2 answers

In a Rhombus $PQRS$, if $PQ=PR$, then $\angle{PQR} =$

answered Feb 20, 2020 by shrishtimehta1

2 answers

Evaluate : $\large\frac{10+2i}{(3+i)(3-i)}\qquad (i=\sqrt{-1})$

answered Jan 11, 2020 by priyanka.clay6

1 answer

A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee, $14\%$ are parents of the students, $48\%$ are teachers from the current high school, $28\%$ are school and district administrators and the remaining $8$ individuals are students. How many more teachers were invited to join the committee than school and district administrators ?

answered Jan 11, 2020 by priyanka.clay6

1 answer

A circle with centre $'O'$ lies on the point $(3, -6)$ and has centre $(0,0)$. What can be its radius ?

answered Jan 11, 2020 by priyanka.clay6

1 answer

A tank can be filled by one tap in 4 hours and another tap in 6 hours. How long will it take to fill the tank if both taps are opened together ?

answered Jan 11, 2020 by priyanka.clay6

1 answer

What values of a would make the given quadrilateral a parallelogram in the figure given below ?

answered Jan 11, 2020 by priyanka.clay6

1 answer

A godown measures : $40\; ft \times 25 \;ft \times 15\;ft$. What can be the maximum number of wooden crates each measuring $1.5 \;ft \times 1.25 \;ft \times 0.5 \;ft$ that can be stored in godown ?

answered Jan 11, 2020 by priyanka.clay6

1 answer

Simplify : $(5\sqrt{2})^2 - (6\sqrt{3})^2$

answered Jan 11, 2020 by priyanka.clay6

1 answer

If the $xy$ plane, the graph of $y=x^2-16$ intersects the graph $y=2x$ at the points $(0,0)$ and $(x,y)$. What are the values of $x$ and $y$?

answered Jan 11, 2020 by priyanka.clay6

1 answer

Which of the following ordered pairs $(x,y)$ satisfies the system of inequalities below ? <br> $\qquad y \leq 2x+3$ <br> $\qquad x+y>3$

answered Jan 11, 2020 by priyanka.clay6

1 answer

The total area of a city in Michigan is $102.1$ square miles of which $13.1$ square miles is water. If the city had a population of $621,000$ people in the year $2012,$ which of the following is closest to the population density in people per square mile of land area, of the city at that time ?

answered Jan 11, 2020 by priyanka.clay6

1 answer

During performing the experiment to find out the Latent heat of fusion ice, in a laboratory, when ice began to melt, the temperature remains at $0^{\circ}C$ the liquid water that is formed with latent heat of fusion is also at $0^{\circ}C$. Which of the following graph represents this latent heat of fusion ?

answered Jan 9, 2020 by priyanka.clay6

1 answer

$\large\frac{y^2-5y-24}{9y^2-10y+16}=$

answered Jan 9, 2020 by priyanka.clay6

1 answer

Given: $f(x)=2x^2-3x+5$, determine $f(-3)$

answered Jan 9, 2020 by priyanka.clay6

1 answer

The factors of $x^4+2x^2+9$ are ?

answered Jan 9, 2020 by priyanka.clay6

1 answer

If the sides of a rectangular field are $80$ and $18\; ft$ respectively, what will be the length of its diagonal ?

answered Jan 9, 2020 by priyanka.clay6

1 answer

Jack found a watch which was worth $\$540$ had an offer for sale at $\$450$ during Thanks giving. What percent discount is offered during the sale?

answered Jan 9, 2020 by priyanka.clay6

1 answer

Allen sells stationery items in his shop. Since the sales was going on in a very slow process, he decreased the prices of the products by $10\%$. There by the number of products sold increased by $30\%$. What is the increase in the total revenue ?

answered Jan 9, 2020 by priyanka.clay6

1 answer

The circumference of a circle is $60\;cm$. An arc subtends $90^{\circ}$ at the centre. Find its length.

answered Jan 9, 2020 by priyanka.clay6

1 answer