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Leona [35]
3 years ago
9

How do you solve this using 30 60 90 property

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0
Since this is a 30-60-90 triangle, if the side against the 30 degree angle is equal to 2 the one against the 60 degree angle must be equal to 2\sqrt { 3 } 
and the side against the 90 degree angle must be equal to 4. (I will upload a picture, these are rules for right angles)

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Please help with Volume
Archy [21]

Given:

Length of the cuboid tank = 4 m

Breadth = 2.5 m

Height = 2.4 m

One third of the tank is filled with water.

1 cubic meter = 1000 liters.

To find:

The quantity of the water in the tank.

Solution:

Volume of a cuboid is:

V=l\times b\times h

Where, l is length, b is breadth and h is the height.

The volume of the tank is :

V=4\times 2.5\times 2.4

V=24

Volume of tank is 24 cubic meter.

One third of the tank is filled with water. So, the volume of the water is

\dfrac{24}{3}=8

The volume of water is 8 cubic meters.

We have,

1 cubic meter = 1000 liters.

8 cubic meter = 8000 liters.

Therefore, the quantity of the water in the tank is 8000 liters.

5 0
3 years ago
Select the best answer for the question.
Marat540 [252]

The answer of this question is 42


3 0
4 years ago
A ball is thrown in the air from a height of 3 m with an initial velocity of 12 m/s. To the nearest tenth of a second, how long
stepladder [879]

Answer:  1.4 seconds

<u>Step-by-step explanation:</u>

The equation is: h(t) = at² + v₀t + h₀          where

  • a is the acceleration (in this case it is gravity)
  • v₀ is the initial velocity
  • h₀ is the initial height

Given:  

  • a = -9.81 (if it wasn't given in your textbook, you can look it up)
  • v₀ = 12
  • h₀ = 3

Since we are trying to find out when it lands on the ground, h(t) = 0

EQUATION:   0 = 9.81t² + 12t + 3

Use the quadratic equation to find the x-intercepts

                        a=-9.81, b=12, c=3

x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(12)\pm \sqrt{(12)^2-4(-9.81)(3)}}{2(-9.81)}\\\\\\x=\dfrac{-12\pm 16.2}{-19.62}\\\\\\x=\dfrac{-12+ 16.2}{-19.62}=-0.2\qquad x=\dfrac{-12- 16.2}{-19.62}=\large\boxed{1.4}\\

Note: Negative time (-0.2) is not valid

4 0
3 years ago
Write a proof <br> given: angle 1 and angle 3 are supplementary<br> prove: m is parallel to n
Leno4ka [110]
ABCDEDJGHIKLMNOP

sorry just wanted to see if the bold thing works
7 0
2 years ago
Jannie has a budget of $240 to spend on jeans and shirts. She spends $95 on jeans. If the cost of each shirt is $22.50, how many
marysya [2.9K]
240-95=145
145÷22.50=6.44444
OR about 6 shirts
6 0
4 years ago
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