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andre [41]
3 years ago
10

the sides of a triangle are in the ratio 3: 4: 5 what is the lenghth of each side if the perimeter of the triangle is 90cm

Mathematics
1 answer:
ehidna [41]3 years ago
6 0

3x+4x+5x=90

combine like terms

12x = 90

divide by 12

x = 7.5

sides: 3(7.5) ,4(7.5) ,5(7.5)

    22.5, 30, 37.5

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if mr sulivan drove 7hrs within 385 miles and then he drives 3 hrs in the distance of 165 miles is the amount of time of the two
ehidna [41]

the amount of time of the two trips is a proportional relationship

<h3>What is proportional relationship?</h3>

mathematical expressions are said to be proportional if there unit rate are equal. this means that the expressions will give similar results when similar values are substituted into the equation.

<u>solution:</u>

Driving 7 hrs within 385 miles represents a unit rate of 385 / 7 = 55 miles per hour or 55 mph

while 3 hrs in 165 miles represents a unit rate of 165 / 3 = 55 mph

since both situations gave similar speed in miles per hour they are said to have a proportional relationship.

Read more on proportional relationship here: brainly.com/question/12242745

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6 0
1 year ago
you put $634 into an investment at 6% compounded annually for six years. what will be the balance be at the end of six years?
Norma-Jean [14]

Answer:

The answer would be the following amount $907.92

7 0
3 years ago
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What is the mean of the following set of numbers? 12, 14, 2, 12
Ratling [72]
The mean is 10 because you will add all the numbers and then divide the answer by 4
8 0
3 years ago
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Determine whether the triangles are congruent. Explain your reasoning .
Vanyuwa [196]

Answer:

The triangles are congruent by congruency theorem SAS.

Step-by-step explanation:

Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.

7 0
3 years ago
Suppose that a hypothesis test is conducted. 12 out of 100 subjects have the necessary qualities. The null hypothesis is that th
Veronika [31]

Answer:

Option A

The p-value is less than the significance level of 0.05 chosen and so we reject the null hypothesis H0 and can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.

Step-by-step explanation:

Normally, in hypothesis testing, the level of statistical significance is often expressed as the so-called p-value. We use p-values to make conclusions in significance testing. More specifically, we compare the p-value to a significance level "α" to make conclusions about our hypotheses.

If the p-value is lower than the significance level we chose, then we reject the null hypotheses H0 in favor of the alternative hypothesis Ha. However, if the p-value is greater than or equal to the significance level, then we fail to reject the null hypothesis H0

though this doesn't mean we accept H0 automatically.

Now, applying this to our question;

The p-value is 0.023 while the significance level is 0.05.

Thus,p-value is less than the significance level of 0.05 chosen and so we reject the null hypothesis H0 and can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.

The only option that is correct is option A.

5 0
3 years ago
Read 2 more answers
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