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galina1969 [7]
3 years ago
9

The area of a square is numerically 45 more than the perimeter. find the length of the side

Mathematics
1 answer:
omeli [17]3 years ago
4 0
Area of square = l²
Perimeter of square = 4l

According to the question, 
l^2 = 45 + 4l \\\\ l^2 - 4l - 45 = 0 \\\\ l^2 -9l+5l-45=0 \\\\ l(l-9)+5(l-9) =0 \\\\(l-9)(l+5)=0

Using zero product property,

Either, 
l-9 = 0 \\
~~~~~~l = 9

Or,
l+5=0 \\
~~~~~~l=-5

Since length can't be negative, the length is 9


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Probability is expressed as

number of favourable outcomes/total number of possible outcomes

Looking at the given scenario, the number os students that earned a grade of A is 5. Since we are concerned with these students, then, the number of favourable outcomes is 5.

The total number of students for all grades is 35. This means that the total number of possible outcomes is 35

Thus, the probability that a student earns a grade of A is

5/35

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6 0
1 year ago
What is the probability of rolling a number greater than or equal to 9 with the sum of two dice, given that at least one of the
olga55 [171]
Conditional probablility P(A/B) = P(A and B) / P(B). Here, A is sum of two dice being greater than or equal to 9 and B is at least one of the dice showing 6. Number of ways two dice faces can sum up to 9 = (3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6) = 10 ways. Number of ways that at least one of the dice must show 6 = (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (6, 6), (6, 5), (6, 4), (6, 3), (6, 2), (6, 1) = 11 ways. Number of ways of rolling a number greater than or equal to 9 and at least one of the dice showing 6 = (3, 6), (4, 6), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6) = 7 ways. Probability of rolling a number greater than or equal to 9 given that at least one of the dice must show a 6 = 7 / 11
6 0
3 years ago
Write a real word problem for 55x = 1,045
Lady bird [3.3K]

Bob was selling some toys. Every toy cost 55 dollars and he made 1045 dollars in profit on that exact day. How many toys did Bob make on that day?

7 0
2 years ago
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5. When choosing a movie to watch on Netflix, 45% of them are comedies, 30%
baherus [9]

The probability of choosing a horror movie or a comedy is 75%.

<h3>What are probabilities?</h3>

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

<h3>What is the probability of choosing a horror movie or a comedy?</h3>

45% + 30% = 75%

To learn more about probability, please check: brainly.com/question/26321175

4 0
2 years ago
What is the surface area of this composite figure?
andrew-mc [135]

Answer:

1260 inches squared

Step-by-step explanation:

Bottom: 24*6=144

Bottom front: 24*12=288

Bottom back: 24*12=288

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Right side: 6*12=72

Left top: 6*15=90

Right top: 6*15=90

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Top back: (24*9)/2=216/2=108

144+288+288+72+72+90+90+108+108=1260

6 0
3 years ago
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