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3 years ago

Find the value of x that will make A||B. A B 4x 2x X = ?

Mathematics

1 answer:

pashok25 [27]3 years ago

8 0

Answer:

x = 30

Step-by-step explanation:

Lines A and B are parallel lines and a transverse line is intersecting these lines at two distinct points.

By the definition of interior consecutive angles, sum of the measures of interior consecutive angles is 180°.

4x + 2x = 180°

6x = 180

x = 30

Therefore x = 30 will be the answer.

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Help!!!!!!please help

makvit [3.9K]

Answer:

Step-by-step explanation:

because the x repeats

6 0

2 years ago

Use differentials to estimate the amount of paint needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with dia

Mademuasel [1]

An hemispherical dome is half a sphere. If the diameter is 60 m, then the radius is 30 m.

We can use differentials to solve this problem because we are adding a thin layer to the original dome, so the volume of the dome in increased by a differential of itself.

This differential volume that the dome is increased is equal to the volume of the coat of paint.

The volume of the dome can be written as:

$\begin{gathered} V=\frac{4\pi}{3}r^3 \\ \frac{dV}{dr}=\frac{4\pi}{3}\cdot3r^2\Rightarrow dV=\frac{4\pi}{3}\cdot3r^2\cdot dr=4\pi r^2\cdot dr \end{gathered}$

Now, we can calculate dV as:

$\begin{gathered} dV=4\pi r^2\cdot dr \\ dV\approx4\cdot3.14\cdot(30m)^2\cdot0.07\operatorname{cm}\cdot\frac{1m}{100\operatorname{cm}} \\ dV\approx12.57\cdot900m^2\cdot0.0007m \\ dV\approx7.92m^3 \end{gathered}$

Answer: the paint needed for this coat is approximately 7.92 m^3

5 0

1 year ago

Which is bigger 500 ft or 40 ft?

Sav [38]

Answer: 500 ft is bigger

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Claire has 35 pages left to read in her book. She wants to read an equal number of pages over next 6 days and finish the book. H

densk [106]

The number of pages which Claire should read each day to finish the 35 pages in 6 days is; 5.833 pages per day.

<h3>How many pages should Claire read per day?</h3>

It follows from the task content that the number of pages which Claire should read per day in a bid to finish all 35 pages in 6 days be determined.

Since the given condition is such that; Claire reads an equal number of pages on each of the next six days.

It follows that the number of pages to be read each day is given by;

35 / 6

= 5.833 pages per day.

Ultimately, the number of pages Claire should read per day over the next 6 days is; 5.833 pages per day.