In order for smallest to largest is 70% 2/3, 0.62,13/20,0.6
1 answer:
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Answer:
-5x - 15 > 10 + 20x
-5x - 20x > 10+15
-25x > 25
-x > 25/25
-x > 1
x < -1
interval notation: ]- infinity; -1]
Answer:
8
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Remember that all the spheres are similar
Let
z ----> the scale factor
V_1 ---> the volume of the large sphere
V_2 ---> the volume of the small sphere
<em>Find the scale factor</em>
we know that
The radius of the large sphere is double the radius of the small sphere
so
The scale factor is 2
substitute the value oz z
The volume of the large sphere is 8 times the volume of the small sphere
These are right triangles that will use either sin, cos, or tan, depending upon what you have to work with in regards to the reference angle. The first one has a reference angle of 51 with y being the side opposite it and 12 being the hypotenuse. The sin identity uses the side opposite over the hypotenuse as its formula:
and 12 sin(51) = y and y = 9.325
The second one has the reference angle as the unknown. You could use any of the identities here because you have all the sides of the triangle, but I will use sin again:
and
and
The next one has a referece angle of 13 with 24 being the side adjacent to it and the unknown being the side across from it. You will use the tangent identity here:
and 24 tan(13) = x so x = 5.540
The last one has a reference angle of 20 with the hypotenuse as the unknown x, and the side across from it as 10. Use the sin identity again:
and
and
with x = 29.238
Everything is in regards to the reference angle; you HAVE to be able to identify the reference angle and then how the given sides are related to it.
and 12 sin(51) = y and y = 9.325
The second one has the reference angle as the unknown. You could use any of the identities here because you have all the sides of the triangle, but I will use sin again:
and
and
The next one has a referece angle of 13 with 24 being the side adjacent to it and the unknown being the side across from it. You will use the tangent identity here:
and 24 tan(13) = x so x = 5.540
The last one has a reference angle of 20 with the hypotenuse as the unknown x, and the side across from it as 10. Use the sin identity again:
Everything is in regards to the reference angle; you HAVE to be able to identify the reference angle and then how the given sides are related to it.