1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vova2212 [387]
3 years ago
7

PLEASE ANSWER!!!!!! REALLY IMPORTANT

Mathematics
2 answers:
faust18 [17]3 years ago
8 0

<u>Answer-</u>

<em>The height of the prism is</em><em> 6 units</em>

<u>Solution-</u>

As the base of the prism is a hexagon consisting of 2 congruent isosceles trapezoids.

So,

V_{Prism}=Area_{Base}\times Height

And,

Area_{Base}=2\times \text{Area of the trapezoid}

Also,

\text{Area of the trapezoid}=\dfrac{1}{2}\times \text{Height}\times (\text{Sum of two parallel lines})

=\dfrac{1}{2}\times 3\times (5+8)\\\\=\dfrac{39}{2}

Putting all the values,

V_{Prism}=2\times \dfrac{39}{2}\times Height=39\times Height

As the volume is given, so

\Rightarrow 39\times Height=234

\Rightarrow Height=\dfrac{234}{39}=6

Alisiya [41]3 years ago
7 0

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Height of trapezium = 3 units

and Length of parallel sides are 5 units ad 4+4=8 units.

So, Area of trapezium is given by

\dfrac{1}{2}\times \text{Sum of parallel sides}\times height\\\\=\dfrac{1}{2}\times (5+8)\times 3\\\\=\dfrac{1}{2}\times 13\times 3\\\\=19.5\ sq.\ units

So, we have given that "Volume of prism = 234 cubic units":

\text{Volume of prism}=\text{Area of base}\times height\\\\234=2\times \text{Area of trapezium}\times height\\\\234=2\times 19.5\times height\\\\234=39\times height\\\\height=\dfrac{234}{39}\\\\height=6\ units

Hence, height of prism should be 6 units.

Thus, Third option is correct.

You might be interested in
What is -4 - (8) More text
son4ous [18]

Answer:

-12

Step-by-step explanation:

(-4) - 8

Keep Flip Change

Keep

(-4)

Flip

- to +

Change to opposite

8 to -8

Result

-4 + -8 = -12

5 0
2 years ago
Read 2 more answers
A group of circus bears made a pyramid. 3 bears fell of the top, leaving 3 on the bottom. How many bears made the pyramid?
kvasek [131]

Answer:

6, right?

Step-by-step explanation:

6 0
3 years ago
Simplify square root of 24 times square root of 2x times square root of 3x
sveticcg [70]
\sqrt{24} * \sqrt{2x} * \sqrt{3x} =  \sqrt{2*2*2*3}* \sqrt{2*x} * \sqrt{3*x} =  \sqrt{2*2*2*2*3*3*x*x} = 2*2*3*x = 12x
3 0
3 years ago
Given the equation 5(-2x -10) = 25(x + 1), solve for the value of x that will make the equation true.
brilliants [131]

Answer:

Step-by-step explanation:

5(-2x -10) = 25(x + 1)

-10x - 50 = 25x + 25

by transposing

-10x - 25x = 25 + 50

-35x = 75

x = -75/35

<u><em>x = 15/7</em></u>

or 2.142857..... in decimal

Hope this helps

plz mark as brainliest!!!!!!!

8 0
3 years ago
A baby weighs 10 pounds at age 1, and four years latter the child's weight is 42 pounds. Assume that childhood weight W (in poun
Sergeu [11.5K]
In this problem, we have been given that there is a baby and the weight of the baby is £10 at birth and it is observed that after four years. That means when time is four years, the weight of the baby, That is observed to be 40 lb. And here, considering the weight of the baby to be increasing linearly with respect to the time. In years, we have to express this weight in terms of. So as we are given that the weight is a linear function of time teeth. So in that case this is the way by which we say that y is a linear function of X. And instead of X, let's put T here. And instead of white, let's put W to indicate that weight is a linear function of time. And as we are given that at birth, that is a physical 20 years. The way it is £10. So we substitute T. S. Zero and ws £10 in this equation. So we're going to get 10 equals zero times A. That's zero plus be solving this, we're gonna get Bs 10 and putting this value of weight as 40 lb and the time has four years as well In the same equation, we're going to get 40 equals four A plus B. And we already have determined B. Let's put that here and solving this, we're going to get the value of a coming out to be seven point fight. And now let's put the values of A. And B back into this equation of W. So we get ws eight times t. That's 7.5 times T Plus B. That's 10. So this is the expression, in fact, we can say this is the linear expression for W with respect to time.
6 0
2 years ago
Read 2 more answers
Other questions:
  • One month salary 10 rupess one person wroks only 1.5 day he wrok then how salary is come to her​
    14·1 answer
  • If the value of 2x3 is 2, then what is the value of x?
    10·2 answers
  • Question:4 please help!
    10·1 answer
  • Simplify the expression<br> 4r-7r +8+ r
    5·2 answers
  • What is m&lt; 11?<br> PLZ HURRY
    8·1 answer
  • Caitlin's teacher wrote a row of numbers with a pattern: 75, 68, 70, 63, 65, 58, 60,... What is the rule for the pattern
    7·2 answers
  • What association does the scatter plot show
    14·2 answers
  • What phrase in the problem indicates that estimated product is being asked for?
    11·1 answer
  • Question 1 of 10
    15·1 answer
  • -The concrete sections of a highway are designed to be 25 m long. Sections are prepared at 10°C. What is the minimum space that
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!