Answer:
"The quotient of two numbers is equal to the sum of the numbers" can be expressed by x/y = x + y, but the statement is false. You can't plug in any old x and y and expect the statement to be true. Just think of the equation y=10x+5.
Step-by-step explanation:
Answer:
c. 35.34015106
Step-by-step explanation:
As with many problems of this nature, you only need to get close to be able to choose the correct answer. 22 minutes 45 seconds is just slightly less than 1/2 degree (30 minutes), so the tangent value will be just slightly less than tan(88.5°) ≈ 38. The appropriate choice is 35.34015106.
If you need confirmation, you can find tan(88°) ≈ 29, so you know the answer will be between 29 and 38.
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The above has to do with strategies for choosing answers on multiple-choice problems. Below, we will work the problem.
The angle is (in degrees) ...
88 + 22/60 +45/3600 = 88 + (22·60 +45)/3600 = 88 +1365/3600
≈ 88.3791666... (repeating) . . . . degrees
A calculator tells you the tangent of that is ...
tan(88.3791666...°) ≈ 35.3401510614
Many calculators will round that to 10 digits, as in the answer above. Others can give a value correct to 32 digits. Spreadsheet values will often be correct to 15 or 16 digits.
The point that is not included in the solution set for the inequality in the graph is (-1, 3).
<h3>How to explain the graph?</h3>
In the information given, (h, k) is the vertex point. In the graph, the vertex point will be (1, 2). The equation will be:
y = a(x + 1)² + 2
By the point of the graph(0, 3) the value of a will be:
3 = a(0 - 1)² + 2
3 = a + 2
a = 3 - 2
a = 1
The equation this becomes:
y = 1(x - 1)² + 2.
y = x² - 2x + 1 + 2
y = x² - 2x + 3
Therefore, the point that is not included in the solution set for the inequality is (-1, 3).
Learn more about graph on:
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Answer:
Step-by-step explanation:
1.one solution
2.infinitely
3.one solution
4.one solution
5.no solution
ANSWER
EXPLANATION
From the mnemonics SOH-CAH-TOA.
We want to find the cosine of y
CAH means cosine ratio involves adjacent over the hypotenuse.
From the right by triangle, the side ajacent to angle y is 64 units and the hypotenuse is 80 units.
