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3 years ago

An ant crawls at a total of 2 1/2 feet per minute, how long will it take for it to crawl 5 1/5 feet

Mathematics

1 answer:

Grace [21]3 years ago

3 0

The way to solve this is to do 5 1/5 divide by 2.5.
2.08 minutes

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Determine the measure of the indicated angle in the following triangle:

devlian [24]

Answer:

Θ ≈ 58°

Step-by-step explanation:

using the Cosine Rule in the triangle

cosΘ = $\frac{80^2+60^2-70^2}{2(80)(60)}$ = $\frac{64000+3600-4900}{9600}$ = $\frac{5100}{9600}$ = $\frac{51}{96}$ , then

Θ = $cos^{-1}$ ( $\frac{51}{96}$ ) ≈ 58° ( to the nearest degree )

3 0

1 year ago

This year, a small business had a total revenue of $ 62 , 100. If this is 35 % more than their total revenue from the previous y

Olegator [25]

Answer:

$46000

Step-by-step explanation:

if x represents the previous years revenue, and they made 35% more than x, we need to find what 35% of x is and then add it to x to get the new total, so the equation becomes:

x + .35x = 62100

1.35x = 62100

x = 46000

4 0

2 years ago

Read 2 more answers

How far can a dog run into the woods?

lisabon 2012 [21]

Answer:

Half way

Step-by-step explanation:

Half way, because the dog can run all the way through the woods, but only half of the time he is going in, the rest of the time he is going out.

3 0

2 years ago

To find the extreme values of a function f(x,y) on a curve xequalsx(t), yequalsy(t), treat f as a function of the single vari

pychu [463]

Answer:

Absolute maximum is 2

Absolute minimum at -2

Step-by-step explanation:

The given parametric functions are:

$x=2\cos t,y=2\sin t$

By the chain rule:

$f'(t)=\frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$\frac{df}{dt} =\frac{2 \cos t}{-2\sin t} =-\cot(t)$

At fixed points, $f'(t)=0$

$\implies -\cot (t)=0$

This gives $t=\frac{\pi}{2} ,\frac{3\pi}{2}$ on $0\le t\le 2\pi$

This implies that the extreme points are $(2\cos \frac{\pi}{2}, 2\sin \frac{\pi}{2})=(0,2)$ and $(2\cos \frac{3\pi}{2}, 2\sin \frac{3\pi}{2})=(0,-2)$

By eliminating the parameter, we have $x^2+y^2=4$

This is a circle with radius 2, centered at the origin.

Hence (0,2) is an absolute maximum ,at $t=\frac{\pi}{2}$ and (0,-2) is an absolute minimum at $t=\frac{3\pi}{2}$

7 0

2 years ago

Solving two step equations w/-3+14=5

natali 33 [55]

w/–3 + 14 = 5

⇛ w/–3 = 5 – 14

⇛ w/–3 = – 11

⇛ w = –11 × (–3)

⇛ w = 33

7 0

2 years ago