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julia-pushkina [17]
2 years ago
13

Find the volume of the composite solid.

Mathematics
1 answer:
OLEGan [10]2 years ago
4 0

Here's the solution,

the volume of the given figure is :

=》

volume \:  \: of \:  \: (pyramid \:  + rectangular \:  \: prism)

volume of pyramid :

=》

\dfrac{l \times b \times h}{3}

=》

\dfrac{4 \times 5 \times 6}{3}

=》

\dfrac{120}{3}

=》

40

volume of pyramid = 40 cm³

now, volume of rectangular prism :

=》

l \times b \times h

=》

4 \times 5 \times 2

=》

40

volume of rectangular prism = 40 cm³

volume of composite figure = 40 + 40

=》80 cm³

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krok68 [10]
Answer is 264
You just multiply at three numbers
5 0
2 years ago
X+2y=3 <br> 3y+5y=7 <br> I dont know
Lena [83]

Answer:

Step-by-step explanation:

3y+5y=8y

8y=7(divide 8 in both sides to get y)

y=7/8

x+2y=3...but we already know the value of y, so substitute 7/8 to y

x+2(7/8)=3

x+14/8=3

x=3-14/8

=1.25

8 0
2 years ago
today's local newspaper lists 20 stocks of local interest. of those stocks ten increased five decreased and five remained unchan
coldgirl [10]

Answer:

P(x=2) = 0.2368

Step-by-step explanation:

given data

stocks of local interest N = 20

stocks increased K = 10

stocks decreased =  5

remained unchanged = 5

solution

we take here no of stock that are increased randomly n = 2

so here Hypergeometric random variable can take integer value

{max(0, n+k - N ), min(n,K) } = {0,2}

so here

P(x=2)

so

P(x=k)  = \frac{(^K_k)\times (^{N-K}_{n-k}) }{(^N_n)}      .......................1

P(x=2 ) = \frac{(^{10}_2)\times (^{20-10}_{2-2}) }{(^{20}_2)}    

solve it we get

P(x=2 ) = 0.236842

now we use excel function as

HYPGEOM.DIST (k,n,N.cumulative)   .....................2

so it will be

HYPGEOM.DIST (2,2,10,,false)

we get

HYPGEOM.DIST (2,2,10,,false)  = 0.236842

so

P(x=2) = 0.2368

4 0
3 years ago
The five members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for
larisa [96]

Let's assume

the price of each train ticket is x

we are given

total number of family members =5

so, total cost of ticket = total number of family members*the price of each ticket

so, total cost of ticket =5*x

so, total cost of ticket =5x

now, we have

each family member buys a boxed lunch for $6.50

so, total cost of lunch box = total number of family members*price of each lunch box

so, total cost of lunch box = 5*6.50

total cost of trip = total cost of ticket+total cost of lunch box

we are given

total cost of trip is $248.50

now, we can plug values

and we get

248.50=5x+5*6.50

now, we can solve for x

248.50=5x+32.5

248.50-32.5=5x+32.5-32.5

216=5x

\frac{5x}{5} =\frac{216}{5}

x=43.2

so,

the price of each train ticket is $43.2..........Answer

8 0
3 years ago
Read 2 more answers
Please help me with this!!
bearhunter [10]

Answer:

8.06

Step-by-step explanation:

Use the Pythagorean theorem:

a^{2} +b^{2} =c^{2}

The hypotenuse is always the slanted side, or c (x in this picture), but the other numbers can be interchanged. Doesn't matter.

Plug the numbers 4 and 7 into the formula.

4^{2} +7^{2} =c^{2} \\

Now evaluate them to get c^2

16+49=65

To get c, take the square root of 65

\sqrt{65}  = 8.06

6 0
3 years ago
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