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3 years ago

When we use the formula for the area of a triangle, why do we use the height and not the hypotenuse?

Mathematics

2 answers:

ira [324]3 years ago

5 0

Answer:

area is a half x l x h

Step-by-step explanation:

we cannot use the hypotenuse because it wouldn't bring the area

dimulka [17.4K]3 years ago

4 0

The area is B(h) 1/2 which mean base times height divided my 1/2 since a triangle is half of a square

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(07.08 MC) The graph below shows the price, y, in dollars, of different amounts of peanuts, x, in pounds: Which equation best re

morpeh [17]

Answer:

B. y = 3x

Step-by-step explanation:

Since the y-axis is going up by 6's and the x-axis is going up by 2's, we can see that we would need to multiply the x-axis values by 3 to get our y-values. Therefore, our linear equation for this graph is y = 3x.

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3 years ago

A bank manager wants to encourage new customers to open accounts with principals of at least $3,000. He decides to make a poster

ankoles [38]

Assuming that the 4.8% interest rate is an annual interest rate, then, after one year, with a principal of $3,000 we would be able to win 4.8% of $3000:

$3000\times\frac{4.8}{100}=144$

Divide 144 over 12 to find the monthly earnings:

$\frac{144}{12}=12$

Therefore, with a principal of $3,000 we would be earning $12 interest in 1 month.

For the earnings on the first month to be equal to $10, then you would have to win $120 annually, and $120 must be 4.8% of the principal. To find which quantity satisfies that 4.8% of it is equal to $120, divide 120 over 4.8%:

$\frac{120}{4.8\text{ \%}}=\frac{120}{(4.8/100)}=\frac{100}{4.8}\times120=2500$

Therefore, the principal must be equal to $2500 for you to win $10 on the first month, and it would indeed be correct to say that if you open an account with $3000 you will earn at least $10 interest in 1 month.

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1 year ago

The ratio of the number of volleyball to the number of basketballs in the P.E room is 4:7 .there are 21 basketballs . How many v

densk [106]

Let volleyball be v and let basketball be b.

v : b = 4 : 7, b = 21

v : 21 = 4 : 7

v/21 = 4/7

7*v = 4*21

v = 4*21/7

v = 4*3

v = 12

Volleyballs are 12

Hope this helps.

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3 years ago

Please help me solve question 1.

Andru [333]

Answer:

630

Step-by-step explanation:

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3 years ago

) One year, professional sports players salaries averaged $1.5 million with a standard deviation of $0.9 million. Suppose a samp

Nutka1998 [239]

Answer:

Probability that the average salary of the 400 players exceeded $1.1 million is 0.99999.

Step-by-step explanation:

We are given that one year, professional sports players salaries averaged $1.5 million with a standard deviation of $0.9 million.

Suppose a sample of 400 major league players was taken.

Let $\bar X$ = sample average salary

The z-score probability distribution for sample mean is given by;

Z = $\frac{ \bar X -\mu}{{\frac{\sigma}{\sqrt{n} } }} }$ ~ N(0,1)

where, $\mu$ = mean salary = $1.5 million

$\sigma$ = standard deviation = $0.9 million

n = sample of players = 400

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the average salary of the 400 players exceeded $1.1 million is given by = P( $\bar X$ > $1.1 million)

P( $\bar X$ > $1.1 million) = P( $\frac{ \bar X -\mu}{{\frac{\sigma}{\sqrt{n} } }} }$ > $\frac{ 1.1-1.5}{{\frac{0.9}{\sqrt{400} } }} }$ ) = P(Z > -8.89) = P(Z < 8.89)

Now, in the z table the maximum value of which probability area is given is for critical value of x = 4.40 as 0.99999. So, we can assume that the above probability also has an area of 0.99999 or nearly close to 1.

Therefore, probability that the average salary of the 400 players exceeded $1.1 million is 0.99999.

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3 years ago