answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Greeley [361]
1 year ago
9

In a given quadrilateral, each side is parallel to its opposite side and the diagonals are not perpendicular. What could it be?

Mathematics
2 answers:
Assoli18 [71]1 year ago
5 0
Answer
<span>A. Rectangle
</span><span>D. Parallelogram

Explanation
The four choices are all quadrilaterals with with at least a pair of parallel sides. 
A rectangle, a square, and a rhombus have opposite sides been parallel. 
For a square and a rhombus, the diagonals are perpendicular. 

The diagonals of a rectangle and a parallelograms are not perpendicular. 
</span><span>
</span>
vesna_86 [32]1 year ago
3 0
There are two answers : A) Rectangle and D) Parallelogram. Both have sides that are parallel to each opposite side and their diagonals are not perpendicular. 
You might be interested in
Use green's theorem to compute the area inside the ellipse x252+y2172=1. use the fact that the area can be written as ∬ddxdy=12∫
Pavel [41]

The area of the ellipse E is given by

\displaystyle\iint_E\mathrm dA=\iint_E\mathrm dx\,\mathrm dy

To use Green's theorem, which says

\displaystyle\int_{\partial E}L\,\mathrm dx+M\,\mathrm dy=\iint_E\left(\frac{\partial M}{\partial x}-\frac{\partial L}{\partial y}\right)\,\mathrm dx\,\mathrm dy

(\partial E denotes the boundary of E), we want to find M(x,y) and L(x,y) such that

\dfrac{\partial M}{\partial x}-\dfrac{\partial L}{\partial y}=1

and then we would simply compute the line integral. As the hint suggests, we can pick

\begin{cases}M(x,y)=\dfrac x2\\\\L(x,y)=-\dfrac y2\end{cases}\implies\begin{cases}\dfrac{\partial M}{\partial x}=\dfrac12\\\\\dfrac{\partial L}{\partial y}=-\dfrac12\end{cases}\implies\dfrac{\partial M}{\partial x}-\dfrac{\partial L}{\partial y}=1

The line integral is then

\displaystyle\frac12\int_{\partial E}-y\,\mathrm dx+x\,\mathrm dy

We parameterize the boundary by

\begin{cases}x(t)=5\cos t\\y(t)=17\sin t\end{cases}

with 0\le t\le2\pi. Then the integral is

\displaystyle\frac12\int_0^{2\pi}(-17\sin t(-5\sin t)+5\cos t(17\cos t))\,\mathrm dt

=\displaystyle\frac{85}2\int_0^{2\pi}\sin^2t+\cos^2t\,\mathrm dt=\frac{85}2\int_0^{2\pi}\mathrm dt=85\pi

###

Notice that x^{2/3}+y^{2/3}=4^{2/3} kind of resembles the equation for a circle with radius 4, x^2+y^2=4^2. We can change coordinates to what you might call "pseudo-polar":

\begin{cases}x(t)=4\cos^3t\\y(t)=4\sin^3t\end{cases}

which gives

x(t)^{2/3}+y(t)^{2/3}=(4\cos^3t)^{2/3}+(4\sin^3t)^{2/3}=4^{2/3}(\cos^2t+\sin^2t)=4^{2/3}

as needed. Then with 0\le t\le2\pi, we compute the area via Green's theorem using the same setup as before:

\displaystyle\iint_E\mathrm dx\,\mathrm dy=\frac12\int_0^{2\pi}(-4\sin^3t(12\cos^2t(-\sin t))+4\cos^3t(12\sin^2t\cos t))\,\mathrm dt

=\displaystyle24\int_0^{2\pi}(\sin^4t\cos^2t+\cos^4t\sin^2t)\,\mathrm dt

=\displaystyle24\int_0^{2\pi}\sin^2t\cos^2t\,\mathrm dt

=\displaystyle6\int_0^{2\pi}(1-\cos2t)(1+\cos2t)\,\mathrm dt

=\displaystyle6\int_0^{2\pi}(1-\cos^22t)\,\mathrm dt

=\displaystyle3\int_0^{2\pi}(1-\cos4t)\,\mathrm dt=6\pi

3 0
2 years ago
Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job. Casey correc
ZanzabumX [31]

which of the two landscapes to hire each landscapes charger an hour rate plus a fee for each job the result of the equator into 20 $20 for 5 hours both landscape charge the same hour rate but not the same fee per job give me your answer

7 0
2 years ago
Read 2 more answers
Which expression produces a compatible number estimate for (StartFraction 4 over 7 EndFraction) (StartFraction 3 over 8 EndFract
Mariulka [41]

Answer:

(1/2)(1/2)(1/2)(1/2)

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
How do you simplify 77.28/9.2
Alinara [238K]

The answer is 8.4 all you do is divide them together to get your answer.

4 0
2 years ago
To determine what students at a school would be willing to do to help address global warming, researchers take a random sample o
erastovalidia [21]

Answer:

(ai) The correct answer is the first option;  The amount of tax the student is willing to add to a gallon of gasoline.

(aii) The correct answer is the last option; Whether the student believes that global warming is a serious issue or not.

(b)  The correct answer is the first option; two-sample t interval

Step-by-step explanation:

A response variable in statistics is the idea or concept of needs to be proven right or wrong. It remains a response variable until it has been proven.  

An explanatory variable simply means an independent variable. It doesn't depend on any other variable and at the same time, it can be manipulated.

In construct a 95% confidence interval to compare the two groups, two-sample t test is the appropriate t test to use.

7 0
2 years ago
Other questions:
  • mazy is loooking for his bow and discovers that has 20 shirts for every 2 pair of bows. if his has 50 shirts, how many pairs f b
    7·2 answers
  • Which statement holds true for a skewed histogram showing a distribution of the weights of students in a class?
    15·2 answers
  • The fifth-grade classes at Brookfield School used five identical buses to go on a field trip. •There were a total of 40 seats on
    12·1 answer
  • What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve.
    14·2 answers
  • A gift box has dimensions of: 8 1 2 inches, 5 1 2 inches, and 2 1 2 inches, respectively. how many cubes with side lengths of 1
    13·1 answer
  • The probability of selecting a particular color almond m&amp;m (according to the website) from a bag of m&amp;ms is listed below
    8·2 answers
  • Complete the sentence. the roots of the equation x^2 - 8x - 48 = 0 are -4 and *blank*
    14·2 answers
  • There are twelve shirts in your closet, five blue and seven green. Four of the blue shirts and one of the green shirts fit well.
    13·1 answer
  • If the five digit number aa448 is divisible by 9, what digit does a represent?
    12·1 answer
  • By selling goods for $168, a profit of 12% was made by a merchant . How much did the goods cost him ?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!