Answer: B) 4 & 1/6
Nice work on getting the correct answer.
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Explanation:
x is opposite the marked acute angle
5 is opposite the corresponding acute angle
So x and 5 are proportional to each other. We can form the ratio x/5
Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.
Set those ratios equal to each other and solve for x
x/5 = 10/12
12x = 5*10 ... cross multiply
12x = 50
x = 50/12 ...... divide both sides by 12
x = (25*2)/(6*2)
x = 25/6
x = (24+1)/6
x = 24/6 + 1/6
x = 4 + 1/6
x = 4 & 1/6 which shows why <u>choice B</u> is the answer.
Side note: 25/6 = 4.167 approximately
Answer:
It is a Right Triangle.
Step-by-step explanation:
30^2 = 900
24^2 = 576
18^2 = 324
576 + 324 = 900
This satisfies the Pythagoras theorem so it is a Right Triangle.
Answer:
80
Step-by-step explanation:
you have 8 ten times add 8 together ten times you get 80
Answer:
Exponential form: 5^3
Expanded form: 5*5*5
Standard form: 125
Step-by-step explanation:
The exponential form is when we use the ^ symbol. The base is the number before the ^ and the exponent is the number after the ^. When five is cubed, the base is 5 and the exponent is 3.
Therefore, the exponential form is 5^3. We can also write it with a little 3 on the top right corner of the 5, that is
.
On the expanded form we use multiplications. The exponent number tells us how many times to multiply the base number by itself. When 5 is the base and 3 the exponent, we have to multiply 3 times the number 5 by itself. That is 5*5*5.
The standard form is the result of the calculations we wrote before. The easiest way is to get it from the expanded form.
5*5*5 = 25*5 = 125