High School Geometry Examples and Practice Questions

High School
Geometry
High school geometry

Recent questions in High school geometry

Sydney Stein 2022-08-12

Pythagoras: Get b when only a and angle $α$ are given
Given the Pythagoras Theorem: $a^{2} + b^{2} = c^{2}$
Is there a way to get the value of b when we only have a value for a and the angle $α$ ?

Filipinacws 2022-08-12

How do you find the distance between (2.3, 4.5) and (–3.4, –5.2)?

Filipinacws 2022-08-12

Existence of Right Angle in Hilbert Axioms
Hilbert, in Foundations of Geometry briefly mentions that the existence of right angles is a corollary to the supplementary angle theorem. (i.e. If two angles are congruent, then their supplementary angles are congruent).
How does existence of right angles follow from this?

Ashlynn Hale 2022-08-12

5 independent traffic lights, how many is car expected to pass without getting stopped
There are 5 independent traffic lights, each with chance of stopping a car equal to 0.6. How many traffic lights is the car expected to pass before being stopped - what is E(X)?

Databasex3 2022-08-12

I am trying to compute this integral $\int_{0}^{\infty} \frac{x}{1 + x^{6}} d x$ using the residue theorem. To do so, I am integrating $f (z) = \frac{z}{1 + z^{6}}$ in the frontier of this sector of a circle: ${z : | z | < R, 0 < a r g (z) < π / 3}$ .

I kwo how to deal with the integrals over the horizontal segment of the sector and over the arc of the circle. My problem is the "diagonal segment". When I parametrize it, I do not get something easy to integrate. How could I approach this?

(The path of integration was suggested in my book, so I do not think that is the problem).

garkochenvz 2022-08-12

What is the distance between (8,0,6) and (1,-4,5)?

Flambergru 2022-08-12

MathJax(?): Can't find handler for document MathJax(?): Can't find handler for document Find the sum of a probability of dice roll that is prime.
Consider rolling n fair dice. Let p(n) be the probability that the product of the faces is prime when you roll n dice. For example, when $\frac{| {2, 3, 5} |}{| {1, 2, 3, 4, 5, 6} |}$ = $\frac{1}{2}$
When $\frac{| {(1, 2) (2, 1), (1, 3), (3, 1) (1, 5) (5, 1)} |}{| 36 |} = \frac{1}{6}$
When $p (3) =$ $\frac{1}{24}$ . Find the infinite sum of p(n) (when n starts at 0) (Hint: Consider differentiating both sides of the infinite geometric series: infinite sum of $\frac{1}{(1 - r)}$ when $(r) < 1$ )
I can differentiate the two sides of the geometric series but I'm lost regarding what to do after that. I don't fully understand the question.

motsetjela 2022-08-12

Characterization of the geometric distribution
X,Y are i.i.d. random variables with mean $μ$ , and taking values in {0,1,2,...}.Suppose for all $m \geq 0$ , $P (X = k | X + Y = m) = \frac{1}{m + 1}$ , $k = 0, 1, . . . m$ . Find the distribution of X in terms of $μ$ .

Jazmin Clark 2022-08-12

Chase is making bookmarks. He wonts to make no more than 12 bookmarks and needs 4.25 inches of fabric for each bookmark. Determine the amount of fabric the needs to buy. Then interpret the solution.

Gorlandint 2022-08-12

Distance between (4,4) and (-4,11)?

traucaderx7 2022-08-12

Finding the volume of a solid of revolution about the x-axis
Let R be the area laying beneath the curve $f (x) = 8 - x^{2}$ and above the line $y = 7$ . Find the volume of the solid of revolution which is created when R is revolved around the x-axis.
I graphed the functions and found out I have to integrate from -1 to 1. I want to use the disc method, but I don't know how to only get the discs with radii higher than $y = 7$ and lower than f(x). I thought it would be logical if the radii of the discs would be $8 - x^{2} - 7 = 1 - x^{2}$ , but this approach gives me the wrong answer when i plug it into the formula.

Passafaromx 2022-08-12

Volume of Solid Enclosed by an Equation
I'm having problems finding the triple integrals of equations. I guess it has to do with the geometry. Can someone solve the two questions below elaborately such that I can comprehend this triple integral thing once and for all:
Compute the volume of the solid enclosed by
1. $\frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 1, x = 0, y = o, z = 0$
2. $x^{2} + y^{2} - 2 a x = 0, z = 0, x^{2} + y^{2} = z^{2}$

Matonya 2022-08-12

Volume between under parabaloid
Suppose I want to find the volume between $z = 2 x^{2} + 3 y^{2}$ and $z = 4$ . Is there a way finding that with a double integral? I tried to use $4 - 2 x^{2} - 3 y^{2}$ inside the integral and then convert it to polar coordinates...

Dorsheele0p 2022-08-12

Distance between (8,6,2) and (3,4,1)?

sublimnes9 2022-08-12

Distance between (9,1) and (5,2)?

Cheyanne Jefferson 2022-08-11

Distance between (2,-3,1) and (0,4,-2)?

yongenelowk 2022-08-11

$\begin{array}{l} Theorem 2 - 17 : Let {a_{n}} be a bounded sequence of real numbers. Then: \\ \begin{array}{lll} (a) lim sup a_{n} = L if and only if, for any ε > 0, there are infinitely many terms of \\ {a_{n}} in (L - ε, L + ε) but only finitely many terms of {a_{n}} with a_{n} > L + ε . \end{array} \end{array}$
Proves directly that $lim sup {a_{n} + b_{n}} \leq lim sup {a_{n}} + lim sup {b_{n}}$

dredyue 2022-08-11

Probability about a geometric distribution
If no-one obtains "head", the game continues with the same probabilities as before." If that is the case, why does that affect the probability recursively? Could someone explain why we add the case where no one wins to the probability, and why we multiply it by p?

granuliet1u 2022-08-11

What is the distribution of min of two independent geometric rv?
Let X and Y be independent discrete random variables, X having the geometric distribution with parameter p and Y having the geometric distribution with parameter r. Show that $U = m i n {X, Y}$ has the geometric distribution with parameter $p + r - p r$

schlichs6d 2022-08-11

Scan line algorithm for intersecting polygons
Given two sets of polygons $P_{1} = {s_{1}, . . ., s_{m}}$ and $P_{2} = {s_{m} + 1, . . ., s_{n}}$ with total number of n segments, the previous and next segment on it's polygon can be determined in O(1). Describe a scan-line algorithm that computes all points of $P_{1} \cap P_{2}$ in O(n).

Geometry help for high school students is one of the most popular requests online as Geometry always requires examples to learn. It is one of the reasons why high school geometry examples that have been provided will help you find the answers to the most common questions, be it graphs or the use of algebraic equations. If you require help with high school geometry, compare your instructions with the questions that have been shared below. The same relates to high school geometry test questions that are provided with multiple-option examples. Dealing with analytical geometry problems, always focus on word challenges.

Expert Help with High School Geometry