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Igoryamba
3 years ago
8

Guys!! anyone can help me solve this geometry problem?What is the area of this triangle?

Mathematics
1 answer:
NeX [460]3 years ago
3 0

Answer:

10657.5

Step-by-step explanation:

<h2>Long way that is unnecessarily long</h2>

We can start by finding the area of the larger triangle. Using the Pythagorean theorem, we can say that 251²-105²=the bottom side², and  251²-105²=51976, so the bottom side of the larger triangle is √51976 , or approximately 228. Then, the area of the larger triangle is √51976 * 105/2 = 11969 (approximately). Then, the area of the smallest triangle (the largest triangle - the one that we're trying to find the area of) is 105*(√51976-203)/2 = approximately 1312. Then, subtracting that from the total area, we get (√51976 * 105 -  105*(√51976-203))/2 = 105*203/2 = 10657.5

<h2>Short way</h2>

ALTERNATIVELY, upon further review, we can just see that the height is 105 and the base is 203, so we multiply those two and divide by 2, as is the formula for the area of a triangle, to get 10657.5

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Paul is selling $2 raffle tickets for his baseball team. He needs to sell at
kiruha [24]

Answer:

answer is 90

Step-by-step explanation:

230 - 50= 180 divided by 2 =90

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3 years ago
Beehive Corporation earned $1.80 per share. Assuming a closing price of $40, what's the PE ratio? (Round your answer to the near
mamaluj [8]

Answer:

PE ratio = $22

Step-by-step explanation:

Earning per share = $1.80

The price of the share = $40

PE ratio = Price of the share ÷ Earning per share

PE ratio = $40/$1.8-

PE ratio = $22.

Thank you. :)

3 0
4 years ago
How many real solutions are there to the equation x2 − 7x + 12 = 0?
lbvjy [14]
Hi there! 

We can find the answer by factoring the equation, then setting them up equal to zero.

x² - 7x + 12 = 0
(x - 3)(x - 4) = 0

x - 3 = 0                             x - 4 = 0
     x = 3                                   x = 4

So you have two real solutions for the equation x² - 7x + 12 = 0.

Hope this helped! :)
3 0
4 years ago
What is the slope of y = 4x and what does this mean?
tatuchka [14]
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8 0
3 years ago
Read 2 more answers
A recent survey of students at John Tukey High School revealed that
RoseWind [281]

Answer:

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

18% of the students are in favor of changing the dress code.

This means that p = 0.18

You randomly select 15 students

This means that n = 15

What is the probability that at least three of these students are in favor of the proposal to change the dress code?

This is

P(X \geq 3) = 1 - P(X < 3)

In which

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051

P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678

P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766

P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

8 0
3 years ago
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