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Paraphin [41]
3 years ago
15

Can someone help me with this pls?

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0

Answer:

1176cm^{3}

Step-by-step explanation:

First, calculate the volume as if it was a full rectangle.

Volume formula:

length x width x height

16 x 6 x 21 = 2016cm^{3} (this is the volume if this was a full rectangle)

Now to calculate the size of the missing part we do the same thing

10 x 6 x 14 = 840cm^{3}

To work out the volume of this shape, we need to subtract the volume of the missing part from the volume of the rectangle

2016 - 840 = 1176cm^{3}

I hope this helped :-)

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What’s the answer to this question? I’m confused as to how to do this.
choli [55]

Answer:

x = 20

Step-by-step explanation:

(3x + 50) = (6x - 10)

Subtract 6x on each side

3x + 50 - 6x = -10

Combine the x values together

-3x + 50 = -10

Subtract 50 on each side

-3x = -60

Divide each side by -3

x = 20

8 0
3 years ago
The surface area of a rectangular prism is 208 cm2. Two of the dimensions are 2cm and 10cm. Find the measure of the other dimens
aliina [53]

Answer:

7 cm

Step-by-step explanation:

SA = 208 cm^2

SA= 2*a*b + 2*a*c + 2*b*c

where:

a= first dimension = 2 cm

b= second dimension = 10 cm

c= third dimension

so we have:

208= 2*2*10 + 2*2*c + 2*10*c

208= 40 + 4c + 20c

208-40= 24c

168=24c

c =168/24

c = 7cm = third dimension

3 0
3 years ago
45 Points, Question 2 In Attachment. Asap if possible.
Masja [62]

Answer: x = \frac{-5}{2}

Step-by-step explanation:

3^{4x-5} = (\frac{1}{27}) ^{2x+10}

1/27 can be written in index form as 3^{-3}

The equation then becomes:

3^{4x-5} = (3^{-3})^{2x+10}

Equating the coefficient

4x - 5 = -3 ( 2x + 10)

4x - 5 = -6x - 30

10x = -30 + 5

10x = -25

x = -25/10

x = -5/2

x = - 2.5

4 0
3 years ago
Answers for the 2 boxes please ​
maxonik [38]

Answer:

(-3,-6)

Step-by-step explanation:

8 0
3 years ago
Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra
bearhunter [10]

Answer:

\frac{dh}{dt}=-\frac{1}{2\pi}cm/min

Step-by-step explanation:

From similar triangles, see diagram in attachment

\frac{r}{4}=\frac{h}{16}


We solve for r to obtain,


r=\frac{h}{4}


The formula for calculating the volume of a cone is

V=\frac{1}{3}\pi r^2h


We substitute the value of r=\frac{h}{4} to obtain,


V=\frac{1}{3}\pi (\frac{h}{4})^2h


This implies that,

V=\frac{1}{48}\pi h^3


We now differentiate both sides with respect to t to get,

\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}


We were given that water is drained out of the tank at a rate of 2cm^3/min


This implies that \frac{dV}{dt}=-2cm^3/min.


Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means h=8cm.


We substitute this values to obtain,


-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}


\Rightarrow -2=4\pi \frac{dh}{dt}


\Rightarrow -1=2\pi \frac{dh}{dt}


\frac{dh}{dt}=-\frac{1}{2\pi}






3 0
4 years ago
Read 2 more answers
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