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2 years ago

Solve for m: 2r= m/r m = 2r m = 2r squared by 2 m=r m = 2

1 answer:

6 0

Solution

Switch sides so that m is on the left side

m/r = 2r

Them multiply both sides by r

mr/r = 2rr

Now simplify the equation

m = 2r^2

Therefore the equation evaluates to
m = 2r squared by 2

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3 years ago

Triangle lmn will be dilated with respect to the origin by a scale factor of 1/2

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Answer:

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3 years ago

The speed of a boat in still water is 40 mph. If it takes the same time for the boat to travel 8 miles upstream as it does to tr

antoniya [11.8K]

Answer:

Current speed is 40mph

Step-by-step explanation:

We firstly need to know what is intended by upstream and downstream. When the boat travels in the direction of the current (horizontal movement of the water), we say it is moving downstream otherwise it is moving upstream.

Let's assume the speed of the boat is A and that of the current is B, then the speed when it moves dowstream would be A + B and the speed if it moves upstream would be A – B.

In this question, we know that the speed of the boat is 40mph. Given that it takes the same time to travel 8miles upstream as it does to travel 24miles downstream, we have

Speed upstream = 8/t

Speed downstream = 24/t

Respectively.

Let speed of current be X, then

Speed downstream = 40 + X

Speed upstream = 40 – X

From the question we have:

(40 + x)/24 = (40 – X)/8

(40 + x)/3 = (40 – x)/1

3(40 – x) = 40 + X

120 – 3x = 40 – X

120 – 40 = 3x – X

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3 years ago

A can in the shape of a right cylinder is filled with 10W-40 oil. The weight of 10W-40 oil is 0.857 gram per cubic centimeter. I

Leya [2.2K]

To solve this, we have to find the volume of the cylinder first. The formula to be used is $V = \pi r^{2} h$

Given:V= ?r= 6cmh= 10cm
Solution: $V = \pi r^{2} h$
V= (3.14)(6cm) $^{2}$ x 10cmV= (3.14)( $36cm^{2}$ ) x 10cmV= ( $113.04cm^{2}$ ) x 10cmV= 1130.4cm^3
Finding the volume of the cylinder, we can now solve what the weight of the oil is. Using the formula of density, Density = mass/volume, we can derive a formula to get the weight.
Given:Density = 0.857 gm/cm^3Volume = 1130.4 cm^3
Solution:weight = density x volumew= (0.857 gm/cm^3) (1130.4cm^3)w= 968.7528 gm
The weight of the oil is 968.75 gm.

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3 years ago

Solve for x. 6x + 5 = -x + 40 B. x= -5 A. x = -9 D. x= 9 C. x = 5

denis23 [38]

C, x=-5, hope this helps

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3 years ago