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zysi [14]
4 years ago
15

Emily's vacuum cleaner has a power rating of 200 watts. If the vacuum cleaner does 360000 joules of work, how long did Emily spe

nd vacuuming?
Mathematics
1 answer:
MakcuM [25]4 years ago
5 0
To answer this, we need to know the formula of the relationship between the work and the power rating and time.

The formula is:
E(J)<span> = </span>P(W) ×<span> t</span><span>(s)
</span>360000 = 200 * t
t = 360000 / 200
t = 1800 s

So, Emily will spend 1800 seconds in vacuuming. It is also equivalent to 30 minutes.
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artcher [175]

Answer: y=4x+11

Step-by-step explanation:

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3 years ago
Sheila has 11 1 2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 3 4 pounds
vladimir2022 [97]
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3 years ago
Find the volume of the solid whose base is the circle x2+y2=25 and the cross sections perpendicular to the x-axis are triangles
ivanzaharov [21]

Triangles with height h and base b, with b=h have area \dfrac{b^2}2.

Such cross sections with the base of the triangle in the disk x^2+y^2\le25 (a disk with radius 5) have base with length

b(x)=\sqrt{25-x^2}-\left(-\sqrt{25-x^2}\right)=2\sqrt{25-x^2}

i.e. the vertical (in the x,y plane) distance between the top and bottom curves describing the circle x^2+y^2=25.

So when x=4, the cross section at that point has base

2\sqrt{25-16}=6

so that the area of the cross section would be 6^2/2 = 18.

In case it's relevant, the entire solid would have volume given by the integral

\displaystyle\int_{-5}^5\frac{b(x)^2}2\,\mathrm dx=4\int_0^5(25-x^2)\,\mathrm dx=\frac{1000}3

6 0
3 years ago
The graph below shows the solution to which set of inequalities?
fiasKO [112]
I think it is b but im not sure
7 0
4 years ago
Read 2 more answers
One angle in a right triangle measures 57°. What is the measure of the other acute triangle?
kirza4 [7]
Triangles= 180°
One right angle= 90°
Given angle= 57°
x= missing angle

Find the missing angle by subtracting angles from 180°.

90° + 57° + x= 180°
147° + x= 180°
x= 33° which is an acute angle

ANSWER:
The missing acute angle is 33°.

Hope this helps! :)
8 0
3 years ago
Read 2 more answers
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