Answer:
<em>Both equal sides have a length of 29 cm.</em>
<em>The third inequal side is 9 cm.</em>
Step-by-step explanation:
<u>System of Equations</u>
With the data provided in the problem, we can form a system of two equations with two unknowns.
Let's call x to each equal side of the isosceles triangle and y to the other side. One condition states that each equal side is 2 cm more than three times the other side. It can be written as:
We also know the perimeter of the triangle is 67 cm. Since we have to equal sides to x:
Let's put together both equations:
To solve the system, we can use the x from the first equation and replace it into the second equation:
Operating:
Joining like terms:
Solving for y:
The third inequal side is 9 cm. Now find the value of x.
Both equal sides have a length of 29 cm.
Answer:
(a) 0.76
(b) 0.46
(c) 0.58
Step-by-step explanation:
Let's first list the probabilities of each event:
Buyers using online search engine: 0.65
Buyers skipping test drive = 0.11
Buyers that use search engines AND skip test drives = 0.65 * 0.11 = 0.07
(a) To find this probability, we simply need to add the probabilities of the above conditions that meet the criteria of the question. Since all of the above conditions meet the criteria set by the question, we have:
Probability = 0.65 + 0.11
Probability = 0.76
(b) The probability of buyers that do not use search engines = 1 - 0.65 = 0.35
Probability of buyers that do not use search engines OR do skip the test drive = 0.35 + 0.11 = 0.46
(c) Probability of buyers buyers that do not skip test drive = 1 - 0.11 = 0.89
Probability of buyers using online search engine AND not skipping the test drive = 0.65 * 0.89 = 0.58
(It must be noted that question c is phrased wrong. Since both events are independent, i.e buying a car OR skipping the test drive would mean 0.65 + 0.89 = 1.54 (not possible) )
The greatest 3 digit number divisible by the 8, the 10, and the 12 is 960. The simplest way of finding the number is to multiply all the divisible factor which is the 8, the 10, and the 12 that results in 960 (8*10*12). If this multiply operation results in more than 3 digit number, therefore we must analyze the factor of the result and eliminate it.
Answer:
E. FD<DE<EF
Step-by-step explanation:
First I needed to find the other angle which I found by adding the two angles that were given.
103 +14 =117
180 - 117= 63
then to find which sides were the longest I looked and the angles and found their corresponding sides.
<D went with side FE
<F went with side DE
<E went with side FD
The smallest angle was <E therefore the smallest side was FD
The middle angle was <F therefore the medium side was DE
The largest angle was <D therefore the smallest side was FE
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Answer:
The new depth of the scuba diver is 330 feet below sea level.
Step-by-step explanation:
125 + 205 more below sea level = 330 below sea level
