Answer: 49.09 cm2
Step-by-step explanation:
Hi, to answer this question we have to apply the next formulas:
Circumference of a circle = π x diameter = 3.14159x 3 1/8 = 9.81746 in
The circumference of the can is equal to the length of the rectangular label:
Surface area (S)= circumference(length) x height
Replacing with the values given:
S = 9.81746 x 5 = 49.09 cm2
Feel free to ask for more if needed or if you did not understand something.
Answer:
80% of the buttons were large.
Step-by-step explanation:
Recall that percentages are fractions.
We first need to find the total number of buttons that Eva bought
64 + 16 = 80
Then we need to divide 64 into 80 as a fraction of the whole (80 is our whole)
64 ÷ 80 = 0.8
To convert our decimal to a percentage, we must multiply it by 100.
0.8 * 100% = 80%
Therefore, 80% of the buttons were large.
Here is the answer to you question
Answer:
The probability that Joe's stock will go up and he will win in the lottery is 0.00005.
Step-by-step explanation:
Let the events be denoted as:
<em>X</em> = the stock goes up
<em>Y</em> = Joe wins the lottery
Given:
P (X) = 0.50
P (Y) = 0.0001
The events of the stock going up is not dependent on the the event of Joe winning the lottery.
So the events <em>X</em> and <em>Y</em> are independent of each other.
Independent events are those events that can occur together at the same time.
The joint probability of two independent events <em>A</em> and <em>B </em>is,
Compute the value of P (<em>X ∩ Y</em>) as follows:
Thus, the probability that Joe's stock will go up and he will win in the lottery is 0.00005.
Answer:
Step-by-step explanation:
Triangle DEF is a right angle triangle.
From the given right angle triangle,
DE represents the hypotenuse of the right angle triangle.
With ∠E as the reference angle,
EF represents the adjacent side of the right angle triangle.
DF represents the opposite side of the right angle triangle.
To determine EF, we would apply
trigonometric ratio
Cos θ = opposite side/hypotenuse. Therefore,
Cos 49 = EF/8
EF = 8Cos49 = 8 × 0.6561
EF = 5.2488
Rounding to the nearest tenth, it becomes 5.2
