Answer:
25/6
Step-by-step explanation:
The direct variation tells you that y is proportional to x. That means a reduction by a factor of 5/6 as x changes from 6 to 5 will result in a reduction of y by the same factor.
y = (5/6)(5) = 25/6
Answer:
The answer is 1767.15cm^3
Step-by-step explanation:
The formula for finding the volume of a spherical object is 4/3(π)(r^3),where r is the radius of the object. But here only the diameter was given. And diameter=2(r), where r is radius.
So to find the radius, divide the diameter by 2. Since by making r the subject of the equation you get r=diameter/2.
Using the formula
4/3(π)(r^3)=(4π((15/2)^3))/3
=(4π(7.5^3)/3
=(4π(421.875))/3
Since π is 3.141592654
(4π(421.875))/3=1/3(4(3.141592654)(421.875))
=1/3(5301.437603)
=1767.145868
But I rounded off the answer to 2 decimal places and so I got 1767.14
If two shapes are 'similar', it means that the dimensions of the shapes have the same ratio towards each other. In this example, we can see that the side with a length of 2 correlates to the side with a length of 4. That means, the scaling ratio is 4:2, which can be reduced to 2:1.
The next step is to look at the other side. We know that the width of the smaller shape is 1, and that the second shape is twice the size of the smaller shape (which is what a scale of 2:1 means). Therefore, you just need to multiply the known width by two to get the unknown.
1 * 2 = 2
The missing side _d_ has a length of 2.
Hope that helped =)
11-3 = 8
8y = 24
8y/8 = 24/8
y = 3
To find 75% of 200, we can multiply two fractions.
75/100 * 200/1
Now, just multiply the numerators and the denominators separately.
75 * 200 = 15000
100 * 1 = 100
Now, divide.
15000/100 = 150
<h3>75% of 200 is 150.</h3>
