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3 years ago

I spent 3/4 of my money, then I spent 1/5 of what was left. What part of all my money did i spend?

Mathematics

1 answer:

PIT_PIT [208]3 years ago

4 0

Answer:

19/20

Step-by-step explanation:

4×5=20

5×3=15

1×4=4

15/20+4/20=19/20

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From the top of a vertical cliff 50 m high, the angle of depression of an object that is level with the base of the cliff is 70°

Svetlanka [38]

Answer:

The distance of the object from the base of cliff is 18.24 meters

Step-by-step explanation:

Given as :

The height of the vertical cliff = h = 50 meters

The distance of the object from the base of cliff = x meters

Let The angle of depression of object that level with cliff base = Ф = 70°

<u>Now, from figure</u>

Tan angle = $\dfrac{\textrm perpendicular}{\textrm base}$

I.e TanФ = $\dfrac{\textrm AB}{\textrm OA}$

Or, TanФ = $\dfrac{\textrm h}{\textrm x}$

Or, Tan 70° = $\dfrac{\textrm 50 meters}{\textrm x meters}$

Or, 2.74 = $\dfrac{\textrm 50}{\textrm x}$

∴ x = $\dfrac{\textrm 50}{\textrm 2.74}$

I,e x = 18.24 meters

So, The distance of the object from the base of cliff = x = 18.24 meters

Hence,The distance of the object from the base of cliff is 18.24 meters Answer

5 0

3 years ago

Solve for y a = x+y+z/3

Maru [420]

A=x+y+z/3
a-x=y+z/3
a-x-z/3=y
so y=a-x-z/3

8 0

3 years ago

Please HELP!!! I'll mark you Brianliest!!

Volgvan

The answer is going to be A.

5 0

3 years ago

Read 2 more answers

The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.3 in/s. At

Angelina_Jolie [31]

Answer:

The volume is changing at a rate given by:

$\frac{dV}{dt} =19559.56\,\,\frac{in^3}{s}$

Step-by-step explanation:

Let's recall the formula for the volume of acone, since it is the rate of the cone changing what we need to answer:

Volume of cone = $\frac{1}{3} B\,*\,H$

where B is the area of the base (a circle of radius R) which equals = $\pi\,R^2$

and where H stands for the cone's height.

We apply the derivative over time operator ( $\frac{d}{dt}$ ) on both sides of the volume equation, making sure that we apply the rule for the derivative of a product:

$V=\frac{1}{3} B\,*\,H\\\\V= \frac{1}{3} \pi\,R^2\,H\\\frac{dV}{dt} =\frac{\pi}{3}\,( \frac{d(R^2)}{dt} H+R^2\,\frac{dH}{dt} )\\\frac{dV}{dt} =\frac{\pi}{3}\,( 2\,R\,\frac{dR}{dt}\, H+R^2\,\frac{dH}{dt} )\\\frac{dV}{dt} =\frac{\pi}{3}\,( 2\,(110\,in)(1.4\,\frac{in}{s} )\,(151\,in)+(110\.in)^2\,(-2.3)\frac{in}{s} )\\\frac{dV}{dt} =19559.56\,\,\frac{in^3}{s}$

8 0

3 years ago

Bella bought packs of stickers to give to her friends. Each pack cost $4. She spent a total of $12 on stickers. How many packs d

boyakko [2]

Given:

Bella bought packs of stickers to give to her friends.

Cost of each pack of stickers = $4

Total amount spent on packs of stickers = $12

To find:

The equation for the given statement.

Solution:

Let s be the number of packs of stickers.

Cost of one pack of stickers = $4

Cost of s packs of stickers = $4s

Total amount spent on packs of stickers is $12. So,

$4s=12$

Therefore, the correct option is B.

6 0

3 years ago