Answer:
108
Step-by-step explanation:
Interior angles in a pentagon add up to 540 degrees. So we first need to find the total sum of all the known angles. We do this by calculating 104+108+112=324.
Now we need to find the total sum of the unknown angles, and we do this buy calculating 540-324=216.
The final step is to find the size of one of the 2 remaining angles, and since we know they are equal, we just have to divide by 2. So, 216/2=108. This is our final answer.
Answer:
0.0023 = 0.23% probability that all 5 balls selected will be the same color
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the balls are selected is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
Either 5 amber from a set of 6, or 5 blue from a set of 5. So
Total outcomes:
5 balls selected from a set of 6 + 5 + 4 = 15. So
Probability:
0.0023 = 0.23% probability that all 5 balls selected will be the same color
Answer:
-22
Step-by-step explanation:
if f(-4) then f(-4) = 3(-4) - 10
which equals -22
Answer:
1) A
2) B
3) D
4) B
Step-by-step explanation:
1) Because 1 mile is 5280 feet one half of the proportion has to be 1/5280. The other half is 5/x
2) Multiply 1/2 * (10/2.5). This gets you 2
3) First find 4.5% of 545.00 (Multiply 545*.045) This gets you 24.525. Add this to 545, and you get 569.525. This can be rounded to $569.53
4) There seem to be 5 players for each coach. If there are 80 players, divide 80 by 5 to get the number of coaches. The final answer is 16
expand by multiplying <span><span>√<span>7x</span></span>⋅<span>√x</span></span> and <span><span>√<span>7x</span></span>⋅7<span>√7</span></span>
<span><span>√<span>7x</span></span><span>(<span>√x</span>−7<span>√7</span>)</span>=<span>√<span>7x</span></span>⋅<span>√x</span>−<span>√<span>7x</span></span>⋅7<span>√7</span></span>
<span>You can make√<span>7x</span></span> into <span><span>√7</span>⋅<span>√x</span></span>
<span><span>=<span>√7</span>⋅<span><span>√x</span>⋅<span>√x</span></span>−<span>√7</span>⋅<span>√x</span>⋅7⋅<span>√7</span></span><span>=<span>√7</span>⋅<span><span>(<span>√x</span>)</span>2</span>−<span><span>(<span>√7</span>)</span>2</span>⋅<span>√x</span>⋅7</span></span>
since squaring and square roots are opposite, they cancel
<span><span>=<span>√7</span>⋅x−7⋅<span>√x</span>⋅7</span>=x√7−49√x
I hope the square root symbols worked. I had to copy and paste from word. Hopefully this is what you needed!
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