All Questions ⁺⁰237313 Questions

-1

72

1

+1348

geometry problem

The diagram shows eight congruent squares inside a circle. Every shaded square has one vertex on the circle. What is the ratio of the shaded area to the area of the circle? Express your answer as a decimal to the nearest hundredth. read more ..

sandwich Sep 10, 2023

0

93

2

3 halves times w = 18

3 halves times w = 18
what is w?

Guest Sep 10, 2023

0

87

1

+1926

circles

In the diagram, the circle is inscribed in the square. This means that the circle and the square share points $S$, $T$, $U$, and $V$, and the width of the square is exactly equal to the diameter of the circle. Rounded to the nearest tenth, what read more ..

tomtom Sep 10, 2023

0

25

1

+1926

help geometry

Triangle $MNO$ is an isosceles triangle with $MN = NO = 25\;\text{cm}$. A line segment, drawn from the midpoint of $\overline{MO}$ perpendicular to $\overline{MN}$, intersects $\overline{MN}$ at point $P$ with $NP:PM = 2:1$. What is the length of the altitude read more ..

tomtom Sep 10, 2023

0

85

2

pls help

Suppose we have a bag with 10 slips of paper in it. Eight slips have a 3 on them and the other two have an 8 on them.
a) What is the expected value of the number shown when we draw a single slip of paper?
b) What is read more ..

Guest Sep 10, 2023

0

43

1

+1926

help plz

Help, I'm having a hard time with this geometry problem.
In the diagram, right-angled triangles $AED$ and $BFC$ are constructed inside rectangle $ABCD$ so that $F$ lies on $DE$. If $AE = 7$, $ED = 24$, and $BF = 15$, what is the length read more ..

tomtom Sep 10, 2023

0

82

1

geometry question

The vertices of triangle $ABC$ lie on the sides of equilateral triangle $DEF$, as shown. If $CD = 5$, $CE = BD = 3$, and $\angle ACB = 90^\circ$, then find $AE$. read more ..

Guest Sep 10, 2023

0

90

1

help geometry

In square ABCD, P is on BC such that BP = 4 and PC = 1, and Q is on line CD such that DQ = 4 and QC = 1. Find sin angle PBQ.

Guest Sep 10, 2023

0

82

2

+16

Pls help this tks u

Two containers A and B, contained different masses of peanuts at first. 4/5 of the mass of peanuts in A was poured into B. Then 1/2 of the mass of peanuts in B was poured into A. After these two transfers of peanuts between A and B, the read more ..

jakeviamcknight24 Sep 10, 2023

0

100

0

f(×) = × + 3 and g(×) = ×² + 2x - 8, find (f + g)(×)

f(×) = × + 3 and g(×) = ×² + 2x - 8, find (f + g)(×)

Guest Sep 10, 2023

0

88

1

hellpppp

In triangle $ABC,$ the angle bisector of $\angle BAC$ meets $\overline{BC}$ at $D.$ If $\angle BAC = 60^\circ,$ $\angle ABC = 45^\circ,$ and $AD = 24,$ then find the area of triangle $ABC.$

Guest Sep 10, 2023

Sep 9, 2023

0

74

1

+1678

rational functions

Define \[f(x) = \frac{1}{x + \frac{1}{x}}\] and \[g(x) = \frac{1}{x - \frac{1}{x}}.\] Find the square of the largest real solution to the equation \[ (g(x))^2 - (f(x))^2 = 1.\]

wiseowl Sep 9, 2023

0

90

1

+1678

rational functions

Find all real values of $x$ that satisfy $\frac{1}{x+1} + \frac{3}{x+7} \ge \frac{1}{2}.$ (Give your answer in interval notation.)

wiseowl Sep 9, 2023

+2

78

2

+39

hard number theory

If $a,b,c$ are positive integers less than $13$ such that\begin{align*} 2ab+bc+ca&\equiv 0\pmod{13}\\ ab+2bc+ca&\equiv 3abc\pmod{13}\\ ab+bc+2ca&\equiv 8abc\pmod {13} \end{align*}then determine the remainder when $a+b+c$ is divided by $13$<read more ..

invalid Sep 9, 2023

0

69

1

+25

problem

In quadrilateral PQRS, sides PS and QR have equal length and sides PQ and rs are parallel to each other. Point X is the intersection of the diagonals PR and QS Which of the following conclusions must be true?
A)
B)
C) read more ..

chippers44 Sep 9, 2023

0

96

1

5x + 2 – (2x + 1) = 61

5x + 2 – (2x + 1) = 61

Guest Sep 9, 2023

0

56

2

+1926

algebra

The real numbers $p$, $q$, $r$, $x$, $y$, and $z$ satisfy
\begin{align*}
px+qy+rz&=7,\\
p+qx+ry&=z+5,\\
pz+q+rx&=y-3,\\<#> py+qz+r&=x+4,\\<#> p+q+r&=-8.<#> \end{align*}<#> Find $x+y+z$.

tomtom Sep 9, 2023

0

89

1

+1926

algebra

Real numbers $a$, $b$, $c$, $x$, and $y$ satisfy
\begin{align*}
ax+by+c&=x+7,\\
a+bx+cy&=2x+6y-4,\\
ay+b+cx&=8x+5y-3,<#> \end{align*}<#> and $x + y \neq -1$. Find $a+b+c$.

tomtom Sep 9, 2023

0

90

0

+1926

help hard algebra

Given that (x+y+z)(xy+xz+yz)=25 and that x^3+y^3+z^3=18 for real numbers x, y, and z, what is the value of xyz?

tomtom Sep 9, 2023

-2

100

0

+818

parabola

The parabola with equation $y=ax^2+bx+c$ is graphed below:

The zeros of the quadratic $ax^2 + bx + c$ are at $x=m$ and $x=n$, read more ..

maximum Sep 9, 2023

-2

39

1

+818

parabolas

The vertex of the parabola described by the equation $y=-3x^2-30x-81+15x-9$ is $(m,n)$. What is $n$?

maximum Sep 9, 2023

-2

68

1

+818

help quadratic

The graph of the line $y = 3x + a$ intersects the graph of the parabola $y = x^{2} + x$ in two points. If the distance between these points is $\sqrt{13}$, what is the value of $a$? Express your answer as a common fraction. read more ..

maximum Sep 9, 2023

0

78

6

+660

Permutations again

Syd chooses two different primes, both of which are greater than 10, and multiplies them. The resulting product is less than 400. How many different products could Syd have ended up with?
Please keep in mind the product is less than 400, not 500 read more ..

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Keihaku Sep 9, 2023

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