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3 years ago

Which of the following is true about a linear pair?

Mathematics

2 answers:

Gelneren [198K]3 years ago

4 0

Answer: Choice A

The two angles must be supplementary and adjacent to form a linear pair.

Adjacent angles are angles that touch and share a common line segment, line, or ray. Think of two rooms that share the same wall and how they are considered adjacent rooms.

Supplementary angles form a straight angle. They add to 180 degrees.

fredd [130]3 years ago

3 0

Answer:

Step-by-step explanation:

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Pleaseeee help I need to know now!!!

PtichkaEL [24]

Answer:

C. Infinite solutions

Step-by-step explanation:

I'll use the equal value method and make the second equation equal 6 instead of 18, so I have to divide the entire equation by 3

(6x+15y=18)/3 = 2x +5y = 6

The second equation is the same thing as the first one, meaning no matter what value they will equal the same thing, also meaning there are infinite solutions

4 0

2 years ago

(6) (Bonus question: worth 10 points. Total points for assignment not to exceed 100.) Use an iterated integral to compute the vo

kipiarov [429]

Let $R$ be the ellipsoid with equation

$\left(\dfrac xa\right)^2+\left(\dfrac yb\right)^2+\left(\dfrac zc\right)^2=1$

so that the volume of $R$ is given by the triple integral

$\displaystyle\iiint_R\mathrm dV$

Consider the augmented spherical coordinates given by the identities

$\begin{cases}x=ar\cos u\sin v\\y=br\sin u\sin v\\z=cr\cos v\end{cases}$

Computing the Jacobian, we find that the volume element is given by

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=abcr^2\sin v\,\mathrm dr\,\mathrm du\,\mathrm dv$

so that the volume integral can be written as

$\displaystyle\iiint_R\mathrm dV=abc\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\int_{r=0}^{r=1}r^2\sin v\,\mathrm dr\,\mathrm du\,\mathrm dv=\frac{4abc\pi}3$

8 0

3 years ago

A tap can fill a bucket in 6 hours. After half the bucket is filled, three more similar taps are opened. What is the total time

777dan777 [17]

The total time taken to fill the bucket completely is 3 hours 45 minutes

The time taken to fill the bucket by one tap= 6 hours

Then the time take by one tap to fill half of the bucket= 3 hours

Part filled by one tap in one hour = $\frac{1}{6}$

Part filled by four taps in one hour = $4(\frac{1}{6})=\frac{4}{6}=\frac{2}{3}$

Given, that after half the bucket is filled, three more similar taps are opened

Then the remaining part = $1-\frac{1}{2}=\frac{1}{2}$

Time taken to fill the half of the bucket= $(\frac{1}{2} )(\frac{2}{3})=\frac{3}{4}$ hours

Convert the hours to minutes

$(\frac{3}{4})60=45$ minutes

Therefore,

Total time taken to fill the bucket= The time taken by one tap to fill half of the bucket+ Time taken by 4 taps to fill the half of the bucket

=3 hours+ 45 minutes

=3 hours 45 minutes

Hence, The total time taken to fill the bucket completely is 3 hours 45 minutes

Learn more about time here

brainly.com/question/28050940

#SPJ4

8 0

2 years ago

Z wants to buy five shirts worth 34 dollars each and three baseball caps worth 31

ella [17]

Answer:

$199.50

Step-by-step explanation:

10% discount of $34 = 10/100*34 = $3.40

so, a single shirt costs $34-$3.40 = $30.60

half off = 50% discount of $31 = 50/100*31 = $15.50

so, a single cap costs $31-$15.50 = $15.50

so, 5 shirts and 3 caps cost now

5*$30.60 + 3*$15.50 = $153 + $46.50 = $199.50

but careful - can this be a trick question ?

the phrasing of the problem description can also suggest that the discounts are only listed to confuse us and are already included in the mentioned prices ("worth" $34 - what does that mean ? because including the discounts they are currently "worth" their prices).

then it would just plainly be

5*$34 + 3*$31 = $170 + $93 = $263

4 0

3 years ago

Write the wod sentence as an equations. you don't need to solve it.

Aleksandr-060686 [28]

Answer:

b-5=16

Step-by-step explanation:

well, it says 5 is LESS THAN b so we do b minus 5 than it says is 16 and is means equal so we do b minus 5 equals 16. super easy once you get the hang of it.

3 0

3 years ago

Read 2 more answers