We are asked to find a range for x. Let's start by finding the maximum value. We know, by definition, that a side opposite a larger angle has a longer length. For example, if you think about a right triangle, the hypotenuse (the longest side) is always opposite of the right angle (the largest angle). We are given two side lengths: 23 is opposite of 42 degrees, and 21 is opposite of 3x + 15. Because 42 is opposite the longer side, 42 degrees is a larger angle than 3x + 15. We can set up the inequality and solve for x:
Now, let's look at the minimum value. We know that the angle definitely has to be larger than 0. So, we can set up that inequality and solve for x:
Now, we have our final range: -5 < x < 9
0.08/10= 0.008. 0.08 is ten times as great as 0.008
Answer:
The volume of the silo is about 142.3 cubic meters. Try It! The volume of a sphere is twice the volume of a cone that has the same circular base and height. The formula for the volume of a sphere with radius r is V= r3.
Step-by-step explanation:
Notice that if a cone and a sphere have equal radius, and if the cone has a height equal to its radius, then the cone will fill the sphere exactly four times. This means that the volume of the sphere is $4 times the volume of the cone.
Let us consider the triangles WKQ and MQK
WQ=KM (given) side
WK=MQ(given) side
KQ=KQ (common) side
so we have SSS congruency (option A)
Answer:
112
Step-by-step explanation:
1 bag- Has 14 marbles in all
So if you multiply 14 times 8 total bags you get 112.
