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3 years ago

7. Find a conversion factor between cubic meters and cubic

Mathematics

1 answer:

RUDIKE [14]3 years ago

3 0

Step-by-step explanation:

We know that,

1 m = 100 cm

the conversion from m² to cm² is as follows :

(1 m)² = (100 cm)² = 10000 cm²

A conversion factor between cubic meters and cubic centimeters is as follows :

(1 cm)³ = (100 cm)³

= 1000000 cm³

To convert m³ to cm³, multiply by 1000000.

Hence, this is the required solution.

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Which equation represents a circle whose center is located at (- 6, 2) and whose radius is sqrt(10) units?

azamat

Answer:

${(x + 6)}^{2} + {(y - 2)}^{2}=10$

Step-by-step explanation:

The equation of a circle with center (a,b) and radius r, is

${(x - a)}^{2} + {(y - b)}^{2} = {r}^{2}$

From the question, the center of the circle is located at (-6,2) and the radius is

$r = \sqrt{10}$

We substitute the center and radius to get:

${(x - - 6)}^{2} + {(y - 2)}^{2} = {( \sqrt{10} })^{2}$

Simplify to obtain:

${(x + 6)}^{2} + {(y - 2)}^{2}=10$

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2 years ago

What is the slope of a line that is perpendicular to the line whose equation is 2y = 3x - 1?

alexandr1967 [171]

Answer:

The slope of the line is $-\frac{2}{3}$

Step-by-step explanation:

For any line $y=mx+b$ , a line that is perpendicular to it is $y_\perp =-\frac{1}{m} x+b$ .

Therefore the slope of the perpendicular line is $-\frac{1}{m}$ .

For our case $y=\frac{3}{2}x-\frac{1}{2}$ therefore the slope of the prependicular is the reciprocal of $\frac{3}{2}$ multiplied by $-1.$

$\therefore\:slope=-\frac{2}{3}.$

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3 years ago

Solve for the value of c.

Ipatiy [6.2K]

Answer:

2c-4+5c+3 = 90

7c-1 = 90

7c = 91

c = 13

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2 years ago

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lozanna [386]

Answer:

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Step-by-step explanation:

7*7=49

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2 years ago

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Step-by-step explanation:

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