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2 years ago

Mg+rg=2H, solve for g

Mathematics

1 answer:

Simora [160]2 years ago

4 0

Answer:

$g=\frac{2\,H}{m+r}$

Step-by-step explanation:

Starting with :

m g + r g = 2 H

extract "g" as a common factor on the left of the equal sign:

g (m + r) = 2 H

Now, in order to solve for "g" , divide both sides of the equal sign by the binomial (m + r):

g = (2 H )/(m + r)

$g=\frac{2\,H}{m+r}$

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Two parallel lines are crossed by a transversal. Parallel lines x and y are cut by transversal w. On line x where it intersects

oee [108]

Answer:

(A) $56.5^\circ$

Step-by-step explanation:

From the diagram attached:

Angle 1 and Angle 6 are Co-Interior Angles.

The sum of co-interior angle is 180 degrees.

Therefore:

$m\angle 1+ m\angle 6=180^\circ\\\\m\angle 6=123.5^\circ,$ therefore:\\m\angle 1+ 123.5^\circ=180^\circ\\m\angle 1=180^\circ-123.5^\circ\\m\angle 1=56.5^\circ$

The measure of angle 1 is therefore 56.5 degrees.

The correct option is A.

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2 years ago

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Draw a double number line to show that 6 out of 25 M&Ms are green then use it to find what percent are green

Talja [164]

Answer:

Egg

Step-by-step explanation:

eggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggegg

4 0

2 years ago

The equation y=−0.0088x2+0.79x+15 models the speed x (in miles per hour) and average gas mileage y (in miles per gallon) for a v

Neko [114]

we are given

$y=-0.0088x^2+0.79x+15$

where

y is average gas mileage in miles per gallon

x is speed in miles per hour

we have to find average gas mileage at a speed of 60 miles per hour

so, we have

$x=60mph$

now, we can plug it and find y

$y=-0.0088(60)^2+0.79(60)+15$

we get

$y=30.72$

so,

the best approximate for the average gas mileage at a speed of 60 miles per hour is 30.7 mi/gal...........Answer

6 0

2 years ago

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A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm,

grigory [225]

Answer: 3.5

Step-by-step explanation:

Given: Dimensions of larger prism = length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.

Dimensions of smaller prism = length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.

Scale factor = $\dfrac{\text{Size of image}}{\text{Size of original figure}}$

Since, smaller figure is the original figure and the bigger one is the image.

So, scale factor = $\dfrac{14.7}{4.2}=3.5$ [Taking lengths

Hence, the factor to produce the corresponding dimensions of the larger prism = 3.5

5 0

2 years ago

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Melissa wants to make a table representing the area of her vegetable garden for a variety of different lengths of the tomato pat

Ksenya-84 [330]

Answer:

$\begin{array}{cc}Length \ of \ Tomato \ Patch \ (in \ feet)&Area \ of \ Vegetable \ Garden \ (in \ square \ feet)\\\ [6.25]&338\\6.5&[242.625]\\ \ [6.75]&147.25\\7&[51.875]\end{array}$

Step-by-step explanation:

The date from the given table, is expressed as follows;

Area of Vegetable Garden (in square feet); 338, ___, 147.25, ___

Length of Tomato Patch (in feet); ___, 6.5, ___, 7

The length of the tomato patch increases with decrease in the area of the garden

Given that the length of the tomato patch is the independent variable, we can have;

Length of Tomato Patch (in feet); 6.25, 6.5, 6.75, 7

Therefore, for an increase in the length of the tomato patch from 6.25 to 6.75, (a change of Δl = 0.5) the area of the vegetable garden decreased from 338 to 147.25 which is a decrease of ΔA = 190.75

Therefore, the width of the tomato patch, w = ΔA/Δl = 190.75/0.5 = 381.5

The width of the tomato patch, w = 381.5 ft.

The relationship between the total area, TA, the area of the vegetable garden, <em>A</em>, and the length of the tomato patch, <em>l</em>, is therefore, given as follows;

A = TA - 381.5·l

338 = TA - 381.5×6.25

TA = 338 + 381.5×6.25 = 2,722.375

Therefore, when l = 6.5, we get

A = 2,722.375 - 381.5×6.5 = 242.625

When l = 7, we get

A = 2,722.375 - 381.5×7 = 51.875

Therefore, we get;

$\begin{array}{cc}Length \ of \ Tomato \ Patch \ (in \ feet)&Area \ of \ Vegetable \ Garden \ (in \ square \ feet)\\\ [6.25]&338\\6.5&[242.625]\\ \ [6.75]&147.25\\7&[51.875]\end{array}$

5 0

1 year ago