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Sauron [17]
3 years ago
6

The difference between twice a number and 16 is 30. Which math statement is an equation that represents this relationship?

Mathematics
1 answer:
valina [46]3 years ago
3 0
The correct equation is d) 2x - 16 = 30. 
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Volume of right trapezoid cylindar whole bases are B 16m, b 8m, height is 4m and length is 32m
viktelen [127]

Answer:

volume = 1536 m^3

Step-by-step explanation:

given data;

B = 16m

b =8 m

height   H = 4 m

length  L = 32 m

volume of any right cylinder = (Area of bottom) \times (length)

Volume = A* L

The area of a trapezoid is

A=\frac{1}{2} H*(b+B)

A =\frac{1}{2} 4*(8+16)

A = 48 m^2

therefore volume is given as  

volume = 48*32

volume = 1536 m^3

6 0
3 years ago
I need help on this question
raketka [301]
You got the right answers!
Horizontal and vertical

Congrats
7 0
3 years ago
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/
VARVARA [1.3K]

Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

A = \frac{1}{2}bh   (1)

Where:

b: is the base

h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)

We can find the base by solving equation (1) for b:

b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm)

\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min    

         

Therefore, the base is decreasing at 2 cm/min.

               

I hope it helps you!  

7 0
2 years ago
5. Each pair of polygons below are similar. Show your work! Solve for x:
Stella [2.4K]
Since they are similar, you need to find the ratio of similarity (I made up the term, there is probably a correct one that I can’t remember).

If you divide 16/40, you’ll find that that ratio is 2.5. So then you just multiply 16 x 2.5. You’ll get 18.

18 is the length of the top of the trapezoid.

You set 18=2x+4 and solve it algebraically. Subtract 4 from both sides.

14=2x
Divide by 2 and x=7

(You can also check that the ratio is right by 16/18 is the same decimal value as 40/45. You’ll get .88888...)
4 0
3 years ago
A restaurant offered cooking classes on 24 of the 30 days in November. What decimal is equivalent to the fraction of days in Nov
zvonat [6]
Assuming they mean the fraction is 24/30 the answer is 0.8 (24÷30 is the equation to use)
3 0
3 years ago
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