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iVinArrow [24]
3 years ago
14

-17π/3 Find the exact values of all six trig functions

Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0
The six trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. This is a first quadrant angle. sine of -17 pi over 3 is equal to square root of 3 over 2, cosine of -17 pi over 3 is equal to 1/2. tan -17 pi over 3  is equal to square root of 3. cosecant-17 pi over 3  is equal to 2/sqrt3, secant  of -17 pi over 3 is 2 while cotangent -17 pi over 3  is equal to 1/sqrt 3
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The points A(0, 0), B(0, 4a - 5) and C(2a + 1, 2a + 6) form a triangle. If angle ABC = 90, what is the area of triangle ABC?(A)
ZanzabumX [31]

Answer:

A:102

Step-by-step explanation:

We are given that the points A(0,0),B(0,4a-5) and C(2a-+1,2a+6) form a triangle.

If angle ABC=90^{\circ}

We have to find the area of triangle ABC

If angle ABC= 90 degree

From given below figure

4a-5=2a+6

4a-2a=6+5

2a=11

a=\frac{11}{2}=5.5

Substitute the values then we get

B(0,17) and C (12,17)

Distance formula

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(0-0)^2+(17-0)^2}=17 units

BC=\sqrt{(12-0)^2+(17-17)^2}

BC=\sqrt{144+0}=\sqrt{144}=12 units

Area of triangle =\frac{1}{2}\times b\times h

Substitute the values

Then we get

Area of triangle ABC=\frac{1}{2}\times 17\times 12

Area of triangle ABC=102 square units

Answer: A: 102

8 0
3 years ago
The height of a rocket a given number of seconds after it is released is modeled by h (t) = negative 16 t squared + 32 t + 10. W
Nesterboy [21]

Answer:

t represents the number of seconds after the rocket is released

7 0
3 years ago
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ale4655 [162]

Answer:

the answer is -16

Step-by-step explanation:

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6 0
3 years ago
Matthew is 7 years older then twice the age of his sister. If Matthew is 13, how old is his sister? (NOT SUBTRACTION,ITS MUCH MO
Nadusha1986 [10]

S = sisters ages

M =2S +7

M=13

13 = 2S+7

subtract 7 from each side

6 = 2S

divide by 2

3=S

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4 0
3 years ago
I think I got this for the most part just need to be surs
defon

Answer:

a) 37.33 tons

b) 96 tons

c) Week 2

Step-by-step explanation:

a) 40+40+32=112÷3=37.33 tons

b) 32+40+24=96 tons

c) Week 2

6 0
3 years ago
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