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user100 [1]
3 years ago
11

It is 3/5 mile from Elaine's home to her school. It is 1/10 mile from her home to the library. How much farther is Elaine's home

from her school than it is from the library?
Mathematics
1 answer:
Kipish [7]3 years ago
6 0
3/5 is equivalent to 6/10

the school is 6/10 miles away
the library is 1/10 miles away

6/10-1/10=5/10

From her home to her school is 5/10 or 1/2 a mile farther than from her home to the library
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A fire department's ladder is 110 feet long. A firefighter is trying to reach the top of a 100 foot building by leaning the ladd
Alekssandra [29.7K]

Answer:

sin-¹(10/11)

Step-by-step explanation:

The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .

  • We can use ratio sine here. Let the angle of elevation be theta.

<u>In </u><u>∆</u><u> </u><u>ABC </u><u>:</u><u>-</u><u> </u>

=> sinθ = p/h

=> sinθ = 100ft / 110 ft

=> sinθ = 10/11

=> θ = sin -¹ ( 10/11) .

<h3><u>Hence </u><u>the</u><u> </u><u>angle</u><u> of</u><u> elevation</u><u> </u><u>is </u><u>sin </u><u>-</u><u>¹</u><u> </u><u>(</u><u> </u><u>1</u><u>0</u><u>/</u><u>1</u><u>1</u><u>)</u><u>. </u><u> </u></h3>

6 0
3 years ago
Plllzzz im new and i neeed help
ella [17]

Answer:

4082

Step-by-step explanation:

Given

The composite object

Required

The volume

The object is a mix of a cone and a hemisphere

Such that:

<u>Cone</u>

r = 10cm ---- radius (r = 20/2)

h = 19cm

<u>Hemisphere</u>

r=10cm

The volume of the cone is:

V_1 = \frac{1}{3}\pi r^2h

V_1 = \frac{1}{3}\pi * 10^2 * 19

V_1 = \frac{1900}{3}\pi

The volume of the hemisphere is:

V_2 = \frac{2}{3}\pi r^3

V_2 = \frac{2}{3}\pi 10^3

V_2 = \frac{2000}{3}\pi

So, the volume of the object is:

V = V_1 + V_2

V = \frac{1900}{3}\pi + \frac{2000}{3}\pi

V = \frac{3900}{3}\pi

V = 1300\pi

V = 1300 * 3.14

V = 4082

8 0
3 years ago
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