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3 years ago

Find the volume of prism,3in,6in,2in.

Mathematics

2 answers:

neonofarm [45]3 years ago

7 0

The volume of of the prism is 36 inches

Simora [160]3 years ago

3 0

Answer: 36 inches cube.

Step-by-step explanation: In order to find the volume of a prism,you would need to multiply the length,width and height of the prism.

So,multiply the numbers 3*6*2 which gives you 36.Then,put the unit you are measuring which is in inches cube.

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5. Find the discriminant of 15x2 = 4x – 1 and describe

diamong [38]

Answer:

a) The discriminant of the equation = - 44

b)The nature of the roots will be imaginary.

c) $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

Step-by-step explanation:

Here, the given expression is $15x^{2} = 4x -1$

or, $15x^{2} - 4x + 1 = 0$

Now the discriminant (D) of a quadratic equation $ax^{2} +b x + c = 0$

D = $b^{2} - 4ac = (-4)^{2} - 4(15) (1) = 16 - (60) = -44$

Hence, the discriminant of the equation = - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : $x = \frac{-b \pm \sqrt{b^{2} - 4ac} }{2a}$

So, here $x = \frac{-(-4) \pm \sqrt{D} }{2a} = \frac{4 \pm \sqrt{(-44 )} }{30}$

So, either $x = \frac{4 + \sqrt{(-44 )} }{30} or, x = \frac{4 - \sqrt{(-44 )} }{30}$

or, $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

8 0

3 years ago

5. What is M<br> (3x - 24)<br> (42+11)

Lelechka [254]

Answer:

(3x - 24)

(42+11)

Step-by-step explanation:

(3x - 24)

(42+11)

4 0

3 years ago

Please please help me out!!!!!!!!!!!!!!!!!!!!!!!!!!

nexus9112 [7]

I hope it can help you

4 0

3 years ago

Read 2 more answers

Rosa climbs a 16-meter tower to ride a straight water slide. After landing in the slash pool, she walks 9 meters back to the bas

erastova [34]

Answer:

The length of slide is 18.36 meters

Step-by-step explanation:

The given scenario forms a right-angled triangle where

The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.

Height of tower = h = 16 meters

Distance between slash pool and base of tower = b = 9 meters

Length of slide = s = ?

As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide

Pythagoras theorem states that:

$(Hypotenuse)^2 = (Base)^2+(Perpendicular)^2\\s^2 = b^2+h^2\\s^2 = (9)^2+(16)^2\\s^2 = 81+256\\s^2 = 337\\s^2 = 18.36\ meters$

Hence,

The length of slide is 18.36 meters

4 0

2 years ago

Josh has three shelves of soccer trophies there are five shelves

motikmotik

Do you mean he had 3 shelves and 5 on each? If so the answer is 15

3 0

3 years ago