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taurus [48]
4 years ago
14

Use the unit circle to evaluate the six trigonometric functions of θ = -π.

Mathematics
1 answer:
Cerrena [4.2K]4 years ago
8 0

Answer:

sin=0

cos=-1

tan=0

csc=undefined

sec=-1

cot=undefined

Step-by-step explanation:

On the unit circle, -\pi=\pi. The sin of theta is therefore 0, the cosine is -1, and the tangent is 0/-1=0. Since the following functions are just the reciprocals of the previous ones, the cosecant is 1/0=undefined, the secant is 1/-1=-1, and the cotangent is 1/0= undefined. Hope this helps!

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Leo bought 50 lbs of clay for his art projects. He used 12.5 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs d
ExtremeBDS [4]

Answer:

Total number of mug = 14 mugs

Step-by-step explanation:

Given:

Total amount of Clay Leo bought = 50 lbs

Total amount of Clay left = 27.42 lbs

Total amount of Clay used in sculpture = 12.5 lbs

Amount of clay each muh need = 0.72 lbs

Find;

Total number of mug

Computation:

Assume;

Total number of mug = a

So,

Total amount of Clay Leo bought = Total amount of Clay left + Total amount of Clay used in sculpture + (Amount of clay each muh need)(Amount of clay each muh need)

50 = 27.42 + 12.5 + (0.72)(a)

50 = 39.92 + (0.72)(a)

(0.72)(a) = 10.08

a = 14

Total number of mug = 14 mugs

8 0
3 years ago
Please help with problem
siniylev [52]
5.
that is square-kite

square=AC^2=(AE+EC)^2=(9+15)^2=24^2=576

kite=1/2 times diagonals=1/2 times AC times BD=1/2 times 24 times (BE+ED)=12 times (7+7)=12 times 14=168

so the shaded area=576-168=408 square inches





6.
trapezoid=(base1+base2) times 1/2 times height

big one is base1=14, base2=25
height =10+12=22
area=(1/2)(14+24)(22)=(11)(38)=418

small one is base1=8
base2=25
height is 10
area=(1/2)(25+10)(10)=(5)(35)=175
so shaded area is 418-175=243 square cm
5 0
4 years ago
suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60. what is the length of the t
arlik [135]

Answer:

  √7 ≈ 2.646

Step-by-step explanation:

The law of cosines is applicable. It tells you ...

  c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.

Filling in the given information, you have ...

  c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7

  c = √7 ≈ 2.646

The length of the third side is √7, about 2.646 units.

3 0
4 years ago
Read 2 more answers
Evaluate the following expression for w=4. w^-3 =
slega [8]
W^-3
(4)^-3 = 1/(4)^3
1/64.

The solution is 1/64.
6 0
3 years ago
I need some help with my grade 10 math work
agasfer [191]

Answer:

12 tapes and 20 CDs were sold.

Step-by-step explanation:

Since a music store had a sale on tapes and CDs, and tapes were on sale for $ 5 each and CDs were on sale for $ 7, and during the sale, 32 tapes and CDs were sold, and the cash receipts from the sale of the tapes and CDs, before taxes, were $ 200, to determine the number of CDs and tapes sold during the sale, the following calculation must be performed:

7 - 5 = 2

32 x 5 = 160

200 - 160 = 40

40/2 = 20

32 - 20 = 12

12 x 5 + 20 x 7 = X

60 + 140 = X

200 = X

Therefore, 12 tapes and 20 CDs were sold.

6 0
3 years ago
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