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ss7ja [257]
4 years ago
12

An acute angle θ is in a right triangle with sin θ = five sixths. What is the value of cot θ?

Mathematics
1 answer:
Molodets [167]4 years ago
6 0
<span>The value of cot is √13/6</span>
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Your friend claims that it is possible to draw a right triangle where the cosine of either angle (theta) is exactly the same val
avanturin [10]

Answer:

B. No

Cos \ \theta\neq Cos (90-\theta)\textdegree

Step-by-step explanation:

-A right angle triangle has two complimentary acute angles and one right angle.

-\theta is usually one of the acute angles and is equivalent to 90º minus it's complimentary acute angle.

-Complimentary angles add up to 90º.

#For complimentary angles:

Sin \ \theta=Cos \ (90-\theta)\textdegree\\\\Cos \ \theta=Sin(90-\theta)\textdegree\\\\\therefore Cos \ \theta\neq Cos (90-\theta)\textdegree

The two acute angles cannot have the same Cosine value.

Hence, she's not correct.

5 0
3 years ago
The class decides to make chocolate chip cookies for Mr. Burn’s first day of school in September. Each student needs 3⁄4 of a st
VladimirAG [237]

Answer:

10 1/2 sticks, or 11 sticks with half a stick left over.

Step-by-step explanation:

If every student (and there are 14 students) needs 3/4 stick of butter, the equation is 3/4 x 14 = 10 1/2

3 0
3 years ago
A circular pool is 3.5 meters deep and has a radius of 9 meters. What is the volume
mote1985 [20]

Answer:

890.75m^3

Step-by-step explanation:

Step one:

given data

heigth/depth = 3.5m

radius= 9m

Step two:

The shape is that of a cylinder

Hence the volume of the pool is

V= \pi r^2h

substitute

V= 3.142*9^2*3.5\\\\V=890.75 m^3

7 0
3 years ago
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $65. A season pass costs $400. The skier
Vlad [161]
Let x be the number of days.

Daily pass:
65x + 30x
95x

Season pass:
400 + 30x

95x > 400 + 30x
65x > 400
x > 6.15

The number of days can't be 6.15, so you must round. You can't go down because then the price will be more expensive, so you have to round up.

It would take 7 days until the season pass is less expensive than the daily pass.
----------------------
You can check this by plugging in the x.

95x > 400 + 30x
95(7) > 400 + 30(7)
665 > 400 + 210
665 > 600
The daily pass is more expensive than the season pass.
3 0
3 years ago
If you triple a number and add 11 you get 200 what is the number
Dafna1 [17]
You can set up a simple algebraic equivalent to find a number equivalent to 200 after being multiplied by 3 and added 11 to.

3x+11=200
3x=189
x=63

Had to edit! Realized what I had done wrong
8 0
4 years ago
Read 2 more answers
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