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3 years ago

13

How long will it take you to ski a distance of 36 miles at a speed of 3 miles per 30 minutes.

1 answer:

Digiron [165]3 years ago

8 0

Answer:

6 hours

Step-by-step explanation:

Since there are 60 minutes in one hour, you can ski 3 * 2 = 6 miles per hour. Therefore, it will take you 36 / 6 = 6 hours to ski that distance.

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What type of triangle is shown in the image?

AURORKA [14]

Answer:

Acute Isosceles triangle

Step-by-step explanation:

Acute Isosceles triangles are the triangles with all their internal angles being acute angles and only two sides equal to each other in length.

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What is the answer the number 13?

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2,187 is what I got

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Find all points on the curve that have the given slope.x = 2cost, y= 8sint, slope =-1

tatuchka [14]

Answer:

$t_{1} = 0.422\pi \pm \pi\cdot i$ , $\forall \,i \in \mathbb{N}_{O}$

$t_{2} = 1.422\pi \pm \pi\cdot i$ , $\forall \,i \in \mathbb{N}_{O}$

Step-by-step explanation:

In the case of parametric equations, the slope of the curve is equal to:

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Where $\frac{dx}{dt}$ and $\frac{dy}{dt}$ are the first derivatives of $x$ and $y$ regarding $t$ . Let be $x(t) =2\cdot \cos t$ and $y(t) = 8\cdot \sin t$ , their first derivatives are found:

$\frac{dx}{dt} = -2\cdot \sin t$ and $\frac{dy}{dt} = 8\cdot \cos t$

Thus, equation for the slope is:

$\frac{dy}{dx} = -\frac{8\cdot \cos t}{2\cdot \sin t}$

$\frac{dy}{dx} = -\frac{4}{\tan t}$

If $\frac{dy}{dx} = -1$ , then:

$-1 = -\frac{4}{\tan t}$

$\tan t = 4$

Tangent is positive at 1st quadrant and is a function with a periodicity of $\pi$ , the set of solutions are:

$t_{1} = 0.422\pi \pm \pi\cdot i$ , $\forall \,i \in \mathbb{N}_{O}$

$t_{2} = 1.422\pi \pm \pi\cdot i$ , $\forall \,i \in \mathbb{N}_{O}$

7 0

3 years ago

A recipe calls for 1/4 cup of brown sugar for every 2/3 cup of white sugar. How many cups of brown sugar is required for every c

sammy [17]

The right answer is Option B: 3/8

Step-by-step explanation:

Given,

1/4 cup of brown sugar is for 2/3 cup of white sugar.

Ratio of brown sugar to white sugar = $\frac{1}{4}:\frac{2}{3}$

Let,

x be the brown sugar required for 1 cup of white sugar.

Ratio of brown sugar to white sugar = x:1

Using proportion;

Ratio of brown sugar to white sugar :: Ratio of brown sugar to white sugar

$\frac{1}{4}:\frac{2}{3}::x:1$

Product of mean = Product of extreme

$\frac{2}{3}*x=\frac{1}{4}*1\\\frac{2}{3}x=\frac{1}{4}$

Multiplying both sides by 3/2

$\frac{3}{2}*\frac{2}{3}x=\frac{1}{4}*\frac{3}{2}\\x=\frac{3}{8}$

3/8 cups of brown sugar is required for 1 cup of white sugar.

The right answer is Option B: 3/8

Keywords: ratio, proportion

Learn more about ratios at:

#LearnwithBrainly

3 0

3 years ago

1/2+1/10+1/5 eaquals?

ss7ja [257]

It's 4/5 because if u add 1/2 and 1/10 together u get 3/5 then u have to add 1/5 which is 4/5

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3 years ago

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