All Questions ⁺⁰235722 Questions

Mar 2, 2024

0

18

5

+90

Help with a math kangaroo question

The smallest number of straight lies that will divide a plane into 5 regions is?

●●●●●

totalkoolnezz Mar 2, 2024

0

26

0

+1911

cone

The cone below has a lateral surface area of $16 \sqrt{5} \cdot \pi$. Find the volume of the cone.

tomtom Mar 2, 2024

-2

24

1

+1911

3d geo

Let $A$ be the lateral surface area of the cone below, and let $B$ be the lateral surface area of the cylinder below. Find $\frac{A}{B}.$

tomtom Mar 2, 2024

-1

9

1

+1911

Cone

The circular sector below is rolled to form a cone. Find the volume of the cone.

tomtom Mar 2, 2024

-1

29

0

+1443

Tangent

The tangent to the circumcircle of triangle $WXY$ at $X$ is drawn, and the line through $W$ that is parallel to this tangent intersects $\overline{XY}$ at $Z.$ If $XY = 15$ and $WX = 10,$ find $YZ.$

blackpanther Mar 2, 2024

-1

16

1

+1443

Triangle

In triangle $ABC,$ $\angle C = 90^\circ.$ A semicircle is constructed along side $\overline{AC}$ that is tangent to $\overline{BC}$ and $\overline{AB}.$ If the radius of the semicircle is equal to $\frac{BC}{3},$ then find $\frac{AC}{BC}.$

blackpanther Mar 2, 2024

0

18

1

+1533

Counting

Find the number of positive integers that satisfy both the following conditions:
- Each digit is a 1 or a 2 or a 3
- The sum of the digits is 5

parmen Mar 2, 2024

0

26

0

+479

Triangle

Altitudes $\overline{AP}$ and $\overline{BQ}$ of an acute triangle $\triangle ABC$ intersect at point $H$. What is the area of triangle $ABC$?

ChiIIBill Mar 2, 2024

0

27

0

+479

Geometry

Point $D$ is the midpoint of median $\overline{AM}$ of triangle $ABC$. Point $E$ is the midpoint of $\overline{AB}$, and point $T$ is the intersection of $\overline{BD}$ and $\overline{ME}$. Find the area of triangle $BET$ if $AB = 20$, $AC = 20$,
<read more ..

ChiIIBill Mar 2, 2024

0

26

0

+479

Angles

Let $M$, $N$, and $P$ be the midpoints of sides $\overline{TU}$, $\overline{US}$, and $\overline{ST}$ of triangle $STU$, respectively. Let $\overline{UZ}$ be an altitude of the triangle. If $\angle TSU = 60^\circ$ and $\angle STU = 45^\circ$, read more ..

ChiIIBill Mar 2, 2024

0

29

0

+479

Triangle

Points $M$, $N$, and $O$ are the midpoints of sides $\overline{KL}$, $\overline{LJ}$, and $\overline{JK}$, respectively, of triangle $JKL$. Points $P$, $Q$, and $R$ are the midpoints of $\overline{NO}$, $\overline{OM}$, and $\overline{MN}$, respectively. read more ..

ChiIIBill Mar 2, 2024

0

30

0

+838

Triangle

In triangle $PQR$, let $M$ be the midpoint of $\overline{PQ}$, let $N$ be the midpoint of $\overline{PR}$, and let $O$ be the intersection of $\overline{QN}$ and $\overline{RM}$, as shown. If $\overline{QN}\perp\overline{PR}$, $QN = 15$, and $PR = 20$, read more ..

magenta Mar 2, 2024

0

16

1

+1678

Help with hard algebra

What is the smallest distance between the origin and a point on the graph of y = 1/2*(x^2 - 8).

wiseowl Mar 2, 2024

0

31

1

+704

Geometry

In triangle $ABC,$ $AC = BC$ and $\angle ACB = 90^\circ.$ Points $P$ and $Q$ are on $\overline{AB}$ such that $P$ is between $A$ and $Q$ and $\angle QCP = 45^\circ.$ If cos ACP = 2/3, then find cos BCQ.

booboo44 Mar 2, 2024

0

23

1

+25

Pls Help

Externally tangent circles with centers at points $A$ and $B$ have radii of lengths 5 and 3, respectively. A line externally tangent to both circles intersects ray $AB$ at point $C$, where $B$ is on $\overline{AC}$. What is the length $BC$?

Guythatneedshelp Mar 2, 2024

0

33

0

+1439

Algebra

Will and Grace are canoeing on a lake. Will rows at 50 meters per minute and Grace rows at 30 meters per minute. Will starts rowing at 2 p.m. from the west end of the lake, and Grace starts rowing from the east end of the lake at 2:15 p.m. If they always read more ..

kittykat Mar 2, 2024

0

20

1

+50

How do I find a, b, c, d, f, and g so that they satisfy the following equations?

How do I find a, b, c, d, f, and g so that they satisfy the following equations?
I have no idea how to get started. Can someone provide an explanation of the steps? Thank you!

helloworldhello Mar 2, 2024

0

35

0

+1439

Algebra

i have to paint one side of a wall. the wall is $15$ meters tall and $60$ meters long. each gallon of paint covers $400$ square feet. if a foot is approximately $0.3048$ meters, then what is the smallest whole number of gallons i can buy and have enough read more ..

kittykat Mar 2, 2024

0

19

0

+1439

Rate question

I drove to the beach at a rate of $40$ miles per hour. If I had driven at a rate of $55$ miles per hour instead, then I would have arrived $25$ minutes earlier. How many miles did I drive?

kittykat Mar 2, 2024

0

31

0

+1533

Quadratic

Let $a$ and $b$ be the roots of $x^2 + 7x - 4 = -x^2 + 9x + 6$. Find $(a + 3) + (b + 3).$

parmen Mar 2, 2024

0

19

1

+1533

Vertex

Find the vertex of the graph of the equation $x - y^2 + 8y = 13 + 2y + y^2 - 7y - 14$.

parmen Mar 2, 2024

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