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2 years ago

You are in a bike race. When you get to the first checkpoint, you are $\frac{2}{5}$

Mathematics

1 answer:

Black_prince [1.1K]2 years ago

6 0

Answer:

The distance from the star to the second checkpoint is 4 miles

Step-by-step explanation:

The complete question in the attached figure

we know that

When you get to the second checkpoint, you are 1/4 of the distance to the finish

The distance from the star to the second checkpoint is equal to the total distance multiplied by 1/4

The total distance is 40 miles ( see the attached figure)

The distance from the star to the second checkpoint is

$\frac{1}{4}(40)=10\ miles$

<em>Find out the distance from the start to the first checkpoint</em>

Multiply the distance from the star to the second checkpoint by 2/5

$\frac{2}{5}(10)=4\ miles$

You might be interested in

The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 3

viva [34]

Answer:

119.45 m

Step-by-step explanation:

Given:

When angle of elevation of the sun changes from 58° to 36° the length of shadow of a pole increases by 90 m.

To find:

Length of pole = ?

Solution:

Kindly refer to the attached image.

$\triangle ABC$ represents the 1st angle of elevation of sun i.e. 58°

$\triangle ABD$ represents the 2nd angle of elevation of sun i.e. 36°

Change in shadow is represented by CD = 90 m

Let height of pole, AB = $h$ m

Let side BC = $x$ m

Now, let us apply tangent rules in $\triangle ABC, \triangle ABD$ one by one:

$tan\theta = \dfrac{Perpendicular}{Base}\\\Rightarrow tan58^\circ=\dfrac{AB}{BC}\\\Rightarrow tan58^\circ=\dfrac{h}{x}\\\Rightarrow x = 0.624h ..... (1)$

$tan36^\circ = \dfrac{h}{x+90}$

Putting value of $x$ using equation (1):

$tan36^\circ = \dfrac{h}{0.624h+90}\\\Rightarrow 0.726\times 0.624h+0.726\times 90 = h\\\Rightarrow h-0.453h =65.34\\\Rightarrow \bold{h = 119.45\ m}$

119.45 m is the height of pole.

7 0

2 years ago

The blue whale is the largest animal living on the earth. The average blue whale measures 100 feet long (30 meters) and weighs 3

mamaluj [8]

The average blue whale measures 100 feet(30 meters) long and weighs 300,000 pounds(136,000 kilograms).

A whale’s head is $\frac{1}{3}$ of the length of its body. So, the length of a whale's head $=(\frac{1}{3}*100)feet = 33.33 feet$ or $(\frac{1}{3}*30)meter= 10 meter$

A new baby whale is $\frac{1}{4}$ length of a grown whale. So, the length of a new baby whale $=(\frac{1}{4}*100)feet = 25 feet$ or $(\frac{1}{4}*30)meter = 7.5 meter$

The average man is $\frac{1}{17}$ the length of a blue whale. So, the height of the average man $=(\frac{1}{17}*100)feet = 5.88 feet$ or $(\frac{1}{17}*30)meter =1.76 meter$

The average man is $\frac{1}{1818}$ the weight of a blue whale. So, the average man weighs $= (\frac{1}{1818}*300000)pounds= 165.02 pounds$ or $= (\frac{1}{1818}*136000)kilograms= 74.81 kilograms$

A human baby measures $\frac{1}{4}$ of the length of an adult. So, the height of the average human baby $= (\frac{1}{4}*5.88)feet = 1.47 feet$ or $= (\frac{1}{4}*1.76)meter = 0.44 meter$

5 0

2 years ago

This pencil cup is made out of plastic. It is 5 inches tall and has a radius of 1.75 inches. How many square inches of plastic w

Dmitry [639]

Answer:

To make the cup 64.57 square inches of plastic were used.

Step-by-step explanation:

A cup has the format of a cylinder with a open top. The surface area of the cup is given by the area of it's base (a circle) and the area of it's walls, wich can be seen as rectangle where the width is the length of the circle at the base and the height is the height of the cylinder. So we have:

area of the base = pi*r^2 = 3.14*(1.75)^2 = 3.14*3.0625 = 9.616 square inches

area of the walls = 2*pi*r*h = 2*3.14*(1.75)*5 = 54.95 square inches

surface area of the cup = area of the base + area of the walls = 9.616 + 54.95

surface area of the cup = 64.57 square inches

To make the cup 64.57 square inches of plastic were used.

3 0

2 years ago

In 1895, a brick arch railway bridge was built on North Avenue in Baltimore, Maryland. The arch is described by the equation h =

DerKrebs [107]

Answer:

21.213

(21.213,0)

Step-by-step explanation:

y-intercept = 9

slope= -1/50x^2

I graphed it and it was a parabola and it hit the ground at this coordinate (21.213,0)

7 0

2 years ago

Sportware, a leading shoe manufacturer, markets sneakers under the brand name "Athletix" and dress shoes under the brand name "C

blondinia [14]

Answer:

Multibrands

Step-by-step explanation: Multibrands is a branding strategy applied by business organisations in order to target different market segments, make more brands available thereby creating variety of options for its customers or consumers.

<em>Multibranding is essential for most businesses as it guarantee that businesses keep their different customers by provision of different brands for different classes or tastes.</em>

8 0

2 years ago