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PolarNik [594]
3 years ago
10

If cos 65 degree +cos 55 degree = cos θ, find θ in radians

Mathematics
1 answer:
belka [17]3 years ago
7 0
We have to find t(theta) in radians.
cos t = cos 65° + cos 55°  
We know that:
cos x + cos y = 2 · cos (x+y)/2 · cos (x - y)/2
cos t = 2 · cos (65°+55°)/2 · cos (65°-55°)/2
cos t = 2 · cos 60°· cos 5°
cos t = 2 · 1/2 · cos 5°
cos t = cos 5°
t = 5° = π/36 radians
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The circle's radius is 10 units. Find the length of RH . You may use a calculator's pi button or 3.14 for pi, then round your an
Trava [24]

Answer:

RH = 8.2 units

Step-by-step explanation:

total circumference = 2rπ = 2(10)(3.14) = 62.8 units

RH = (47°/360°)(62.8) = 8.2 units

5 0
3 years ago
The variable Z is directly proportional to X. When X is 12, Z has the value 228. What is the value of Z when X = 18
Kisachek [45]
Here, z = kx

k = z/x
k = 228/12
k = 19

So, when x = 18, 
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z = 342

In short, Your Answer would be: 342

Hope this helps!
8 0
2 years ago
Please help me IDK how to do this!!!!!!
tatiyna
A parallelogram should have 2 sets of parallel lines. Let's find the slope of line PQ and RS to test.

PQ:
(4-2)/(1-(-3))
2/4
1/2

RS:
(2-0)/(3-1)
2/2
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Because 1 does not equal 1/2 (the slopes are different) the lines are not parallel. Thus, the figure is not a parallelogram.
5 0
2 years ago
lol Barney has 16 1 yards of fabric. To make an elf costume, he needs 5 5 2 yards of fabric. How many costumes can Barney make?
ioda
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7 0
3 years ago
What is the slope if you have (2,1) and (4,4)?<br><br><br>*Ineed this quickly as possible!-Thx
Schach [20]

(\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{3}{2}

7 0
2 years ago
Read 2 more answers
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