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Radda [10]
3 years ago
7

On the packaging for a triangular sail, the edge measurements for the sail are listed as 7ft x 15ft x 17ft without unfurling the

sail, you want to determine if the sail forms a right triangle, an acute triangle or an obtuse triangle

Mathematics
2 answers:
kirza4 [7]3 years ago
5 0

The law of cosines can be helpful here. The largest angle (C) will be opposite the longest side (c). That law tells us ...

... c² = a² + b² -2ab·cos(C)

Then

... cos(C) = (a² +b² -c²)/(2ab)

We don't actually need the angle. We only need to know the sign of the cosine.

... cos(C) = (7² +15² -17²)/(2·7·15) = -15/210 . . . . negative sign, so C > 90°

The sail has the shape of an obtuse triangle.

_____

A triangle solver app on your calculator, phone, tablet, or computer can give you the result easily.

Furkat [3]3 years ago
3 0

The law of cosines can be helpful here. The largest angle (C) will be opposite the longest side (c). That law tells us ...


... c² = a² + b² -2ab·cos(C)


Then


... cos(C) = (a² +b² -c²)/(2ab)


We don't actually need the angle. We only need to know the sign of the cosine.


... cos(C) = (7² +15² -17²)/(2·7·15) = -15/210 . . . . negative sign, so C > 90°


The sail has the shape of an obtuse triangle.


_____


A triangle solver app on your calculator, phone, tablet, or computer can give you the result easily.




Read more on Brainly.com - brainly.com/question/11277503#readmore

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Find the slope-intercept form of the equation of the line that passes through
yawa3891 [41]

Answer:

Step-by-step explanation:

12x - 3y = 10

-3y = -12x + 10

y = 4x - 10/3....the slope here is 4

parallel lines will have the same slope

y = mx + b

slope(m) = 4

(-5,3)...x = -5 and y = 3

now we sub and find b, the y int

3 = 4(-5) + b

3 = -20 + b

3 + 20 = b

23 = b

so ur equation is : y = 4x + 23 <==

5 0
3 years ago
A grocery store’s receipts show that Sunday customer purchases have a skewed distribution with a mean of 27$ and a standard devi
34kurt

Answer:

(a) The probability that the store’s revenues were at least $9,000 is 0.0233.

(b) The revenue of the store on the worst 1% of such days is $7,631.57.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.  

Then, the mean of the distribution of the sum of values of X is given by,  

 \mu_{X}=n\mu

And the standard deviation of the distribution of the sum of values of X is given by,  

\sigma_{X}=\sqrt{n}\sigma

It is provided that:

\mu=\$27\\\sigma=\$18\\n=310

As the sample size is quite large, i.e. <em>n</em> = 310 > 30, the central limit theorem can be applied to approximate the sampling distribution of the store’s revenues for Sundays by a normal distribution.

(a)

Compute the probability that the store’s revenues were at least $9,000 as follows:

P(S\geq 9000)=P(\frac{S-\mu_{X}}{\sigma_{X}}\geq \frac{9000-(27\times310)}{\sqrt{310}\times 18})\\\\=P(Z\geq 1.99)\\\\=1-P(Z

Thus, the probability that the store’s revenues were at least $9,000 is 0.0233.

(b)

Let <em>s</em> denote the revenue of the store on the worst 1% of such days.

Then, P (S < s) = 0.01.

The corresponding <em>z-</em>value is, -2.33.

Compute the value of <em>s</em> as follows:

z=\frac{s-\mu_{X}}{\sigma_{X}}\\\\-2.33=\frac{s-8370}{316.923}\\\\s=8370-(2.33\times 316.923)\\\\s=7631.56941\\\\s\approx \$7,631.57

Thus, the revenue of the store on the worst 1% of such days is $7,631.57.

5 0
3 years ago
Find the equation of direct variation,
zysi [14]
Answer G. 99/36= 11/4x
3 0
2 years ago
If I earned $1 every 3 months, how many months until I earn $1000?
KatRina [158]

Answer: 250 years

Step-by-step explanation:

12/3=4

4 x $1 = $4 per year

$1000/4=250

250 years

3 0
3 years ago
Read 2 more answers
HELP PLEASE NEED THIS DONE ASAP
Sindrei [870]

Answer:

I did learn this before I'm not sure, but I think the answer is X x 10 = Y because on the chart for example X= 1 and Y= 10 so whatever number is on Y is basically X multiplied by 10. I hope this helps!

8 0
2 years ago
Read 2 more answers
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