All categories

3 years ago

Three sides of a triangle measure 10m, 12m, and 18m. Find the largest angle of the triangle to the nearest degree.

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

8 0

Answer:

109°

Step-by-step explanation:

The Law of Cosines is good for finding angles when you know three sides. It tells you ...

a^2 = b^2 + c^2 -2bc·cos(A)

where a, b, c are the side lengths and A, B, C are the opposite angles. Here, we want a=18, since the longest side is opposite the largest angle.

Solving for cos(A), we get ...

(b^2 +c^2 -a^2)/(2bc) = cos(A)

A = arccos((b^2 +c^2 -a^2)/(2bc)) = arccos((10^2 +12^2 -18^2)/(2·10·12))

= arccos(-80/240) = arccos(-1/3) ≈ 109.471°

The largest angle of the triangle is about 109°.

You might be interested in

Which is the intersection of the sets {0, 1, 5, 7, 8} and {0, 5, 7, 9}?

MrRissso [65]

The intersection of the steps is just a fancy way of asking wi\hich numbers are in both equations so lets look and see :)

The 1st = 0...1...5...7...8
The 2nd =0........5...7........9
Answer = D {0, 5, 7}
Hope this helps have any questions let me know :)

6 0

3 years ago

Which number is irrational? A. Syntax error from line 1 column 53 to line 1 column 60. Unexpected '0'. B. 1 over 9 C. square roo

DerKrebs [107]

C. because the decimal is never ending, so it is irrational.

8 0

3 years ago

Read 2 more answers

Calculate the distance between each given pair of points. Round your answer to the nearest tenth, if necessary.

Ksju [112]

The answer is 5

Here are the steps:

First off, we will be using the distance formula of
$d=\sqrt{(x_ {2}- x_{2}) ^{2}+( y_{2}- y_{1})^2 }$

So we have the ordered pairs of (3,1) and (6,5)

Once you plug them into the formula it should look like this:
$d= \sqrt{(6-3)^2+(5-1)^2}$

Now we do the math inside the parenthesis and end up with:
$d=\sqrt{3^2+4^2}$

Then you multiply by the power and simplify to get:
$d=\sqrt{25}$

And the $\sqrt{25}$ =5

So your answer is 5

8 0

3 years ago

Holly spends 7 3/5 hours in school each day. Her lunch is 1/2 hour long, and she spends 7/10 of a hour switching classes. The re

Ira Lisetskai [31]

<span>
y = 7 + 3/5
y = 35/5 + 3/5
y = 38/5
y = 2*(38/5)
y = 76/10
---
lunch time:
z = 1/2
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15

x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666

answer:
1.07 hours</span>

5 0

3 years ago

Levi is going to see a movie and is taking his 5 kids. Each movie ticket costs $14 and there are an assortment of snacks availab

olga nikolaevna [1]

Answer:

Levi would have to pay $94 if he bought all 5 kids movie tickets and 6 snacks for everyone to share (god that's a lot of money for a movie)

Step-by-step explanation:

3 0

3 years ago