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larisa [96]
3 years ago
7

Some conveyor belts have two pulleys. If one pulley has a diameter of 45 cm and another has a diameter of 20 cm, what is the rat

io of the smaller diameter to the largest diameter?
Mathematics
1 answer:
siniylev [52]3 years ago
5 0
20:45 or 4:9 if simplified
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Find the general solution for the differential equation \displaystyle{\left.{d}{y}\right.}+{9}{x}\ {\left.{d}{x}\right.}={0}dy+9
densk [106]

Answer:

y= CC-4.5x^2

Step-by-step explanation:

To find the general solution to the differential equation

dy + 9x dx = 0, we employ the method of separating variable as follows:

Note: { will represent the integral sign here.

Separating the variables and integrating, we have

{dy  = -{9x dx

y = -(9/2)(x^2) + CC,

where CC is the given constant of integration.

This can be rearranged/simplified to yield

y= CC-4.5x^2

6 0
3 years ago
Johnny's town is having an old-fashioned circus under a large tent. In order to keep the tent from falling down, workers must ti
Zepler [3.9K]

Answer: 62 feet approximately.

Step-by-step explanation:

1. Based on the information given in the problem, you can draw a right triangle as the one shown in the image attached, where the height of the tent is represented with x. Therefore, you can calculate it as following:

sin\alpha=\frac{oppostite}{hypotenuse}

Where:

\alpha=62\°\\opposite=x\\hypotenuse=70

2. Substitute values and solve for x, then the height of the circus tent is:

sin(62\°)=\frac{x}{70}\\x=70*sin(62\°)

x=61.81≈62ft

7 0
3 years ago
Add (-3x^3+2x^2-4x+5)(x^3-x^2+1
a_sh-v [17]
Hope this helps
have a good day

5 0
3 years ago
Help please!!!! if <1 <3 which conclusion can be made?
netineya [11]

Answer:

B. c // d

Step-by-step explanation:

When ∠1 = ∠3, it means that they are corresponding angles and for that to be true, there must be a pair of parallel lines and one line to cut across both of the lines. Thus, we can conclude that c and d are the parallel lines and a is the line that cut across both of them, creating the corresponding angles.

8 0
3 years ago
Solve 2x^2=11x+6 by factoring
Ede4ka [16]

Answer:

(x-6) (2x+1)

Step-by-step explanation:

1) move everything over to the left side, so subtract 11x and 6.

2x^2 -11x - 6 = 0

2)multiply 2(a term) with -6 (c term)

x^2 -11x -12

3) factor and find what multiples to -12 and adds up to -11. in this case its -12 and positive 1

(x-12) (x+1)

4) divide -12 and 1 by the original a term (2)

(x-6) (x+1/2)

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(x-6) (2x+1)

5 0
4 years ago
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