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prohojiy [21]
2 years ago
8

What is the volume, in cubic cm, of a rectangular prism with a height of 19cm, a

Mathematics
2 answers:
3241004551 [841]2 years ago
6 0

Answer: 2432

19 x 16 x 8 = 2432

Evgesh-ka [11]2 years ago
6 0

Answer: 2,432 cm³

Step-by-step explanation: To find the volume of a rectangular prism or a prism whose base is a rectangle, we use the formula below.

Volume = length × width × height

Since the rectangular prism has a length of 8 centimeters, a width of 16 centimeters, and a height of 19 centimeters,

we can plug this information into the formula to get

(8 cm)(16 cm)(19 cm).

This gives us 2,432 cm³.

So the volume is 2,432 cm³.

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x = \frac{30}{ \tan(41 {}^{0} ) \cos(56 {}^{0} )  }  = 61.7

6 0
2 years ago
What is the value of X?<br> Help please!
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Answer:

(11√3)/3

Step-by-step explanation:

In order to solve for the variable, you will need to use a trig function. In this case, you will need to use the trig function tangent.

Tan = opposite/adjacent

⇒ Tan 30° = x/11

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3 years ago
Find the volume of the composite figure pictured below. Who gets it first gets brainlest!
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You are at a restaurant and the check comes to a total of $20. If you want to leave a 20% tip, how much total money should you p
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7 0
2 years ago
Which additional fact proves that ΔRST and ΔWXY are congruent if ∠T ≅ ∠Y and RT ≅ WY?
sergejj [24]

Answer:

Hence, option A is correct.

Step-by-step explanation:

We are asked to find the fact such that ΔRST and ΔWXY are congruent.

Since, we are given: ∠T ≅ ∠Y  and  RT ≅ WY.

we are given the following assumptions:

∠W = x + 5  

∠X = 3x - 9


∠Y = 2x + 4

as we are given one angle congruent and one side congruent so in order to prove two triangles are congruent we just need to show that one more pair of angles are congruent.

so from the two triangle we could have that ∠W≅∠R

and ∠X≅∠S

Now we will go by options:

A)

if ∠S=2x+20 then as ∠X≅∠S.

3x-9=2x+20

x=29

∠S=∠W=78°.

B)

if ∠R = 2x + 20 then as  ∠W≅∠R

⇒  x+5=2x+20

⇒ x= -15 which is not possible as it will make measure of angle W negative (x+5= -15+5= -10)

C)

if ∠S=2x^2+5 then as  ∠X≅∠S.

⇒ 3x-9=2x^2+5

⇒ 2x^2-3x+14=0

on solving this quadratic equation we will get complex zeros.

Hence, option (C) is not correct.

D)

if ∠R =  2x

^2

+ 5 then as ∠W≅∠R.

⇒ x+5=

2x

^2

+ 5

⇒ 2x^2-x=0

⇒ x(2x-1)=0

either x=0 or x=1/2 which is not  possible.

because by putting this x value in all the angles we see that sum of all the angles of a triangle is not equal  to 180°

Hence, option D is not possible.

Hence, option A is correct.



4 0
3 years ago
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