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oksian1 [2.3K]
3 years ago
13

What is 15% of 60. create a model to prove your answer

Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0
15% = 0.15
x% of any number is 0.x * that number
so the answer is 0.15 * 60 = 9
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Pls help. !!!!!!!!!!!!!!!!!! (Give steps if you can)
kipiarov [429]

Answer:

144 cm^{2}

Step-by-step explanation:

<u>Step 1: Find the true length of each side</u>

We know that the perimeter is 56cm and the ratio of AD:AB:DC:BC is 5:12:6:5. It is safe to assume that this ratio is the simplified version, which means that if we multiply each of these numbers by a scale factor of x, then we get the true length of each side, so we would get 5x, 12x, 6x, 5x for the sides. We also know that when we add these numbers, we get the perimeter, which is 56. So, we can create the equation 5x + 12x + 6x + 5x = 56. Then, solve the equation for x, which would be 2, and go back and multiply each number with 2 to get the following:

AD = 5*2 = 10cm, AB = 12*2 = 24cm, DC = 6*2 = 12cm, BC = 5*2 = 10cm  

<u>Step 2: Calculate the Height</u>

Now we know the lengths of each side, lets take a look at the formula for the area of a trapezium: \frac{base_{1}  + base_2}{2}*height. So, the next step would be to calculate the height. We can draw the height by drawing a line straight down from the vertex D and another straight down from the vertex C. These lines are both the height, and will be the exact same length. We can calculate that the height is 8 because AB is 24 cm, but the length from the height at vertex D to the height at vertex C is 12 cm, so that means that the base of each triangle is 12/2 = 6 cm. Then we can use Pythagorean theorem to figure out that the height is 8cm.

<u>Step 3: Calculate the Area</u>

Lastly, we can calculate the area. The formula is \frac{base_{1}  + base_2}{2}*height. In this case, the numbers would be \frac{12 + 24}{2} * 8 = 144cm^{2}

I know this is a lot, so let me know if you have any questions!

6 0
1 year ago
which of the following is an experiment,? A. Rolling a pair die. B.Rolling two pair dice twice. C.Tossing a coin. D.None of thes
sergejj [24]

Step-by-step explanation:

Hint : we will check for each option whether it is an experiment or not by using the concepts of probability first we will check then if a coin is tossed then it is an experiment or not ? then we will check that if a dice is rolled is it an experiment or not and then we will repeat the same process for choosing a marble from a jar

complete step by step answer and event is a set of outcomes of an experiment to which probability is assigned as take an example when we and I the possibility of 5 appearing on the die is an event if for tossing a coin we do not know the result when a coin is tossed in can give any result whether it will be a head or tails so this is an example for a random experiment if a six-sided dice will be rolled then we do not know what is about to come there result can be anything from 126 so it is also an example for random experiment choosing a marble from a jar is also an experiment because we are choosing one marble from the jar and experiment is a work in which a result can be anything hence option d is the correct option not probability is how likely something is about to happen when a coin is tossed there are two possibility outcomes heads or tails show the probability of an outcome 1

( number of ways it can happen )÷

( total number of outcomes)

so when a coin is tossed the total number of outcomes are to solve the probability of a current head is 1/2

7 0
2 years ago
Find the value of x and y that maximize or minimize the objective function.
kogti [31]
0 > x > 2 and y < 8 - x
3 0
2 years ago
Two trains are traveling at a constant seed on different tracks Which train is traveling faster
EleoNora [17]

Answer:

Whichever train has the greatest numbers

Step-by-step explanation:

4 0
3 years ago
(3x + 10) (2x + 15) what is the value of x ?
Mars2501 [29]
Answer:
6x^2 + 65x + 150

Explanation:

(3x+10)(2x+15)
6x^2 + 45x + 20x + 150
6x^2 + 65x + 150
5 0
3 years ago
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