Step-by-step solutions to hundreds of high school geometry questions - PlainMath

Recent questions in High school geometry

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asked 2021-09-25

Find the overlapping area of two equations also give its geometrical representation: \(\displaystyle{u}^{{{2}}}+{v}^{{{2}}}={n}{\quad\text{and}\quad}{u}^{{{2}}}+{\left({v}-{n}\right)}^{{{2}}}={1}\) put \(\displaystyle{n}={516}\)

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asked 2021-09-25

Let D be the region between the circles of radius 6 and radius 8 centered at the origin that lies in the third quadrant.
Express D in polar coordinates.
Select the correct answer below:
1) \(\displaystyle{D}={\left\lbrace{\left({r},\theta\right)}{\mid}{6}\leq{r}\leq{8},{0}\leq\theta\leq{\frac{{\pi}}{{{2}}}}\right\rbrace}\)
2) \(\displaystyle{D}={\left\lbrace\begin{array}{cc} {r}&\theta\end{array}\right)}{\mid}{6}\leq{r}\leq{8},\pi\leq\theta\leq{\frac{{{3}\pi}}{{{2}}}}\rbrace\)
3) \(\displaystyle{D}={\left\lbrace{\left({r},\theta\right)}{\mid}{0}\leq{r}\leq{8},\pi\leq\theta\leq{\frac{{{3}\pi}}{{{2}}}}\right\rbrace}\)
4) \(\displaystyle{D}={\left\lbrace{\left({r},\theta\right)}{\mid}{6}\leq{r}\leq{8},\pi\leq\theta\leq{2}\pi\right\rbrace}\)

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asked 2021-09-24

The graph of a polar equation is given. Select the polar equation for graph from the following options. \(\displaystyle{r}={2}{\sin{\theta}},{r}={2}{\cos{\theta}},{r}={1}+{\sin{\theta}}\) \(\displaystyle{r}={1}-{\sin{\theta}},{r}={3}{\sin{{2}}}\theta,{r}={3}{\sin{{3}}}\theta\)

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asked 2021-09-23

Find the area of the shaded region if C and D are center

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asked 2021-09-21

Use a double integral to find the area of the region. The region inside the circle \(\displaystyle{\left({x}-{1}\right)}^{{2}}+{y}^{{2}}={1}\) and outside the circle \(\displaystyle{x}^{{2}}+{y}^{{2}}={1}\)

ANSWERED

asked 2021-09-21

What is the radius and center for \(\displaystyle{\left({x}-{2}\right)}^{{{2}}}+{y}^{{{2}}}={16}?\)
A. \(\displaystyle{r}={16}\); center is (2,0)
B. \(\displaystyle{r}={4}\); center is (-2,0)
C. \(\displaystyle{r}={16}\); center is (-2,0)
D. \(\displaystyle{r}={4}\); center is (2,0)

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asked 2021-09-20

Describe in words the surface whose equation is given. r = 5

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asked 2021-09-18

At one point in a pipeline the water’s speed is 3.00 m/s and the gauge pressure is \(\displaystyle{5.00}\times{10}^{{{4}}}{P}{a}\). Find the gauge pressure at a second point in the line, 11.0 m lower than the first, if the pipe diameter at the second point is twice that at the first.

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asked 2021-09-18

Given: K is between H and J, HK= 2x - 5, KJ = 3x + 4, and HJ = 24.
What is the value of x?
A. 9
B. 5
C. 19
D. 3

Analytic geometry

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asked 2021-09-16

A figure is made up of a triangle and a square, where the triangle's base \(\displaystyle{\left({\underset{{\triangle}}{{{b}}}}\right)}\) is a side of a square \(\displaystyle{\left({\underset{{\boxempty}}{{{l}}}}\right)}\).
\(\displaystyle{\underset{{\triangle}}{{{h}}}}={8}{c}{m}\)
\(\displaystyle{\underset{{\triangle}}{{{l}}}}={\underset{{\triangle}}{{{s}}}}={10}{c}{m}\)
\(\displaystyle{\underset{{{f}{i}{g}{u}{r}{e}}}{{{P}}}}={56}{c}{m}\)
\(\displaystyle{\underset{{{f}{i}{g}{u}{r}{e}}}{{{A}}}}=?\)

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asked 2021-09-16

A plane passes through the common center of two concentric spheres. Describe the intersection of the plane and the two spheres.

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asked 2021-09-15

To find:
The smallest positive integer such that if we divide it by three, the remainder is 2; if we divide it by five, the remainder is 3; if we divide it by seven, the remainder is 2.

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asked 2021-09-14

A group of students were polled to find out how many were planning to major in a scientific field of study in college. The results of the poll are shown in the two-way table. Which of the following statements is true? A. Three hundred sixty students were polled in all. B. A student in the senior class is more likely to be planning on a scientific major than a nonscientific major. C. A student planning on a scientific major is more likely to be a junior than a senior. D. More seniors than juniors plan to enter a scientific field of study. Majoring in a science field Yes No Class Junior 150 210 Senior 112 200

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asked 2021-09-14

Students and teachers at a school were polled to see if they were in favor of extending the parking lot into part of the athletic fields. The results of the poll are shown in the two-way table. Which of the following statements is false? A. Thirty-nine students were polled in all. B. Fourteen teachers were polled in all. C. Twenty-three students are not in favor of extending the parking lot. D. Nine teachers are in favor of extending the parking lot. In FavorNot in Favor Students1623 Teachers914

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asked 2021-09-14

If the atomic radius of lead is 0.175 nm, calculate the volume of its unit cell in cubic meters

Exponential growth and decay

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asked 2021-09-12

Tell whether the function represents exponential growth or exponential decay. Explain your reasoning. f(x)=4e^−x

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asked 2021-09-11

For the region R below, write \(\displaystyle\int\int_{{Z}}{f}{d}{A}\) as an integral in polar coordinates.
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Use t for \(\displaystyle\theta\) in your expressions.

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asked 2021-09-06

Find the probability of landing in the shaded region of the figure.
Rectangle with 2 inscribed circles. Length of the rectangle is 20m and the width is 10m

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asked 2021-08-17

How many sides does a hexagon have?

ANSWERED

asked 2021-08-17

Given:
\(\displaystyle\triangle{M}LN,\overline{{{M}{L}}}={13},\overline{{{M}{N}}}={6},\overline{{{N}{L}}}={10},\triangle{R}{Q}{S},\overline{{{R}{Q}}}={39},\overline{{{R}{S}}}={18},\overline{{{S}{Q}}}={30}\)
Find the scale factor from \(\displaystyle\triangle{M}LN\) to \(\displaystyle\triangle{R}{Q}{S}\).

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