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2 years ago

A rectangle has an area of 120 square feet and a width of 8 feet. please help

Mathematics

1 answer:

madam [21]2 years ago

5 0

Answer:

Step-by-step explanation:

length = 120/8 = 15 feet

perimeter = (15 + 8) x 2 = 46 feet

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Use implicit differentiation to find the negative slope of a tangent to the circle x^2+y^2=16 at x=-2

SVETLANKA909090 [29]

Answer:

slope = - $\frac{\sqrt{3} }{3}$

Step-by-step explanation:

Differentiating implicitly with respect to x

2x + 2y $\frac{dy}{dx}$ = 0

2y $\frac{dy}{dx}$ = - 2x

$\frac{dy}{dx}$ = - $\frac{2x}{2y}$ = - $\frac{x}{y}$

$\frac{dy}{dx}$ is the measure of the slope of the tangent

rearrange equation to find corresponding y-coordinate of x = - 2

y² = 16 - 4 = 12 = 2 $\sqrt{3}$ ⇒ y = ± 2 $\sqrt{3}$

using x = - 2, y = - 2 $\sqrt{3}$ , then

$\frac{dy}{dx}$ = - $\frac{1}{\sqrt{3} }$ = - $\frac{\sqrt{3} }{3}$

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3 years ago

Please help with this algebra question

valina [46]

Answer:

i think its

$P(x) = i ^{3}$

Step-by-step explanation:

8 0

2 years ago

.What is the value of the expression below when x=9? Enter the answer as NUMBER only? 1/3 x^2+4

belka [17]

Step-by-step explanation:

1 *9^2 + 4

1 * 81 + 4

1 * 85

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5 0

2 years ago

Robin can bake 140 cupcakes in 5 hours.

Advocard [28]

Answer:

28.

Step-by-step explanation:

28 x 5 = 140

140 divided by 28 = 5.

5 hours.. 140 cupcakes. You divide the amount by the hours, showing you that 28 cupcakes per hour is the answer.

5 0

3 years ago

Read 2 more answers

Referring to triangle ABC, find the area of the triangle.

kondaur [170]

Answer:

$Area = 337$

Step-by-step explanation:

Given

$a = 42.5$

$c = 35.5$

$B = 153.5^\circ$

Required

Area of triangle

This is calculated as:

$Area = 0.5 *a* c * \sin(B)$

This gives:

$Area = 0.5 *42.5* 35.5 * \sin(153.5)$

$Area = 0.5 *42.5* 35.5 * 0.4462$

$Area = 336.602125$

$Area = 337$ --- approximated

4 0

3 years ago