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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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A class of 32 consists of students who either have red or yellow shirts if there are 12 more people with red shirts than there a
natta225 [31]

Answer:

22 kids

Step-by-step explanation:

R (red shirts)

Y (yellow shirts)

R= Y+12 (to make them equal, you need to add 12 to the yellow because it tells you that there are 12 more red shirts than yellow)

R+Y=32 (the amount of students in the class)

Substitute R from the first equation into the second one.

(Y+12) + Y = 32

2Y +12 =32 (subtract 12 from both sides)

2Y =20  (divide by 2 on both sides)

Y=10

Now you know the amount of kids wearing yellow shirts.

Subtract the whole class and the yellow shirts.

32-10= 22

5 0
3 years ago
Does anyone understand this i never get it
JulijaS [17]

Answer: 18

Step-by-step explanation:

6 ÷ 2 = 3

162 ÷ 54 = 3

The constant ratio is 3

6 × 3 = 18

Hope I helped!

5 0
3 years ago
Find the value of n in each equation. Then name the property that is used in each step. 7 + 1.5 = n + 1.5
zalisa [80]
7 + 1.5 = n + 1.5  \text{Cancel 1.5 on both sides}

n=7 \text{Solution}
8 0
3 years ago
What is the exact area of a circle with a diameter of 20 cm?
Kisachek [45]
Hi there! The answer is 100πcm^2

The radius of a circle can be found by dividing the diameter by 2. In other words : the radius is half of the diameter.
Therefore, the radius of a circle with a diameter of 20 cm is 10 cm.

The exact area of a circle can be found using the following formula:
a = \pi \times \: {r}^{2} \\ with \\ a = area \\ r = radius

In order to find our answer, we need to plug in the data from the question.
a = \pi \: \times {10}^{2} = 100\pi

Hence, the answer is 100πcm^2.
5 0
3 years ago
Explain how the segment addition postulate can be modeled using a real-world object
IgorC [24]

To determine the length of AB, one must subtract BC from AC. If the length of AC is 18 and the length of BC is 4, then using this formula yields 18 - 4 = 14, so the length of AB is 14.

This postulate also allows a line segment that has only two known points to be broken into two line segments with the addition of a third point in between the endpoints. This is useful for proofs in geometry and analysis.


6 0
3 years ago
Read 2 more answers
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