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schepotkina [342]
3 years ago
9

On the road trip, the speed limit changed to 50 miles per hour in a construction zone. Traffic moved along at a constant rate (5

0 mph), and it took me 15 minutes (0.25 hours) to get through the zone. What was the distance of the construction zone? (Round your response to the nearest hundredth of a mile.)
Mathematics
1 answer:
navik [9.2K]3 years ago
5 0

Answer:

d= 12.50 miles

Step-by-step explanation:

Kinematic equation of uniform motion (constant speed) :

v= d/t  Formula (1)

v: velocity in miles per hour (mph)

d: distance in miles

t: time in hours

Data

v= 50 mph

t= 0.25 hours

Problem development

We replace data in formula (1)

50 mph=d/0.25 hour

50 \frac{miles}{hour} = \frac{d}{0.25 hour}

d= 50\frac{miles}{hour} *0.25 hour

d= 12.5 miles

d= 12.50 miles

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A shipping fee of 5% is charged on every item purchased online.
Bumek [7]

Answer:

All three statements are true

Step-by-step explanation:

A shipping fee of 5% is charged online with every item purchased online

First let's just take each option and calculate them based on this, to see if the answers matched

Keith buys a 40 dollar book

40 x 0.05 = 2

Therefore there will be a two dollar fee on Keith's book

40 + 2 =42

The first statement is true

A chair costs $80

80 x 0.05 = 4

80 + 4 = 84

The second statement is true

George buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

The third statements are true


All three statements are true

3 0
3 years ago
Bella wants to know how long her dog is. She measure its body and finds that it is 54 cm long. Then she measures the tail and fi
Nady [450]

Answer:

88 cm

Step-by-step explanation:

body to tail = length of body + length of tail

body to tail = 54 cm + 34 cm

body to tail = 88 cm

7 0
2 years ago
A conical paper cup has a radius of 2 inches. Approximate, to the nearest degree, the angle β (see the figure) so that the cone
Aneli [31]
I don't know where the angle β is, so I will make the assumption that tanβ = h/r
V = \frac{1}{3} \pi r^{2} h

V volume = 60
r radius = 2
h = r tanβ

tan \beta = \frac{3V }{ \pi  r^{3} } = \frac{ 180}{25,1} = 7,17 \\  \\  \beta = 82
7 0
3 years ago
Find the volume of a hemisphere with a radius of 8. Round to the nearest tenth.
skad [1K]

Answer:

V(hemisphere) = 1072.3in^3

Step-by-step explanation:

To find the volume of a hemisphere, we will have to take the volume of a sphere as a whole and divide it by 2. This is because a hemisphere is half of a sphere.

The volume of a sphere is:

Let's plug in the radium of 8 into the equation and solve:

Now, divide it by 2

V(sphere) = (2144.660585)/2

V(hemisphere) = 1072.3in^3

I hope this helps!!

6 0
3 years ago
A flag staff is fixed at one corner of a rectangular room of side 20×10m.The angle of elevation on the top of the flag from oppo
Vedmedyk [2.9K]

Answer:

The height is 12.9m

Step-by-step explanation:

First we have to find the distance from the corner of the flag to the opposite corner, for this we will use Pythagoras

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

h² = s1² + s2²

h² = 10² + 20²

h² = 100 + 400

h² = 500

h = √500

h = 22.36

Now that we know this measurement we can calculate the height of the flagpole

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 30

a: adjacent  = 22.36

o: opposite  = ?

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, adjacent, opposite)

is the tangent

tan α = o/a

tan 30 = o/22.36

tan30 * 22.36 = o

12.9 = o

The height is 12.9m

7 0
3 years ago
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