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3 years ago

The mass, m, of an object varies directly as the cube of its length, I.

Mathematics

2 answers:

steposvetlana [31]3 years ago

6 0

Answer:

m = 686.

Step-by-step explanation:

Direct variation :

m= kl^3 where k is a constant.

m = 250 when l = 5, so

250 = k *(5)^3

k = 250 / 125 = 2

So the equation of variation is m = 2l^3.

When l = 7:

m = 2 * (7)*3

= 2 * 343

= 686.

viva [34]3 years ago

4 0

Answer: 350

Step-by-step explanation:

m = kl (1)

Let 'k' be the constant of proportionality

When, m = 250

l = 5

inputting the values into equation (1)

250 = k5

dividing both sides by 5

250/5 = k5/5

50 = k

To find m, when l =7,

Given m = kl

where k = 50 and l = 7

m = 50 x 7

m = 350

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Answer:

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Step-by-step explanation:

Set them equal to 180. So i started plugging in numbers and subtracting them by 90. Then add it back to the number until i got 180.

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3 years ago

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frosja888 [35]

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3 years ago

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if you take out a loan that cost $130.50 over 9 years and interest rate of 10% how much total was the loan for

Tom [10]

130.50x9x.010= 11.75

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3 years ago

What is the slope of the line that passes through the points ( − 1 , − 7 ) (−1,−7) and ( 1 , − 13 ) (1,−13)? Write your answer i

Paraphin [41]

Answer:

$y = -3x -10$

Step-by-step explanation:

Slope-intercept formula: $\frac{y_2-y_2}{x_2-x_1}$

Find slope of (−1, −7) and (1, -13)

$\frac{y_2-y_2}{x_2-x_1}\\\\\\frac{-13-(-7)}{1-(-1)}\\\\\\frac{-6}{2}\\\\\-3$

$y = mx + b$

$y = -3x +b$

$y = -3x +b\\-7 = -3(-1) + b\\-7 = 3 +b\\-3 -3\\-10 = b$

$y = -3x -10$

Hope this helps!

3 0

2 years ago

Gideon has a rectangular garden with an area of 19.6 square feet. If the length of the garden is 4.3 feet, what is the length of

Allushta [10]

The length of the diagonal of the garden with 19.6 square feet and 4.3 length is : 6.3 feet

<h3>What is a rectangle?</h3>

A rectangle is a quadrilateral with four sides and four vertices each of angle 90°.

Analysis:

Area of rectangle: 19.6 square feet

length of one side = 4.3 feet

width of one side = Area/length = 19.6/4.3 = 4.6 feet

the diagonal and width and length of a rectangle for a right angle triangle.

To find the diagonal, we use Pythagoras theorem

$(diagonal)^{2}$ = $(length)^{2}$ + $(width)^{2}$

$(diagonal)^{2}$ = $(4.3)^{2}$ + $(4.6)^{2}$

$(diagonal)^{2}$ = 39.7

diagonal = $\sqrt{39.7}$ = 6.3 feet

in conclusion, the diagonal of the rectangular garden is 6.3 feet

Learn more about quadrilateral: brainly.com/question/23935806

#SPJ1

8 0

2 years ago