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Serga [27]
3 years ago
8

Evaluate the following:

Mathematics
1 answer:
marusya05 [52]3 years ago
4 0

Answer:

csc∅ = 25/7

sec∅ = 25/24

cot∅ = 24/7

Step-by-step explanation:

Cosecant (csc) is 1/sin∅ or hypotenuse over opposite

Secant (sec) is 1/cos∅ or hypotenuse over adjacent

Cotangent (cot) is 1/tan∅ or adjacent over opposite

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Simplify 6/ square root 3+2
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From what i see it could be
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Find three consecutive odd integers such that the sum of the smallest and four times the largest is 61. Please list the numbers
Kipish [7]

Answer:

9,11,13

Step-by-step explanation:

Given: sum of the smallest integer and four times the largest integer out of three consecutive odd integers is 61

To list: numbers from least to greatest

Solution:

Let the three consecutive odd integers be x,x+2,x+4.

According to question,

x+4(x+4)=61\\x+4x+16=61\\5x=61-16\\5x=45\\x=9

So, the integers are x=9,x+2=9+2=11,x+4=9+4=13

Numbers from least to the greatest: 9,11,13

7 0
3 years ago
BD is tangent to circle O at C, m(arc AEC) = 280, and m(arc ACE) = 140. Find m (The figure is not drawn to scale.)
Zepler [3.9K]

Answer:

The correct answer is second option 60°

Step-by-step explanation:

From the figure we can write,

measure of arc AEC = measure of arc AE + measure of CE

measure of arc ACE = measure of AC +  measure of CE

measure of arc AEC + measure of arc ACE = 280 + 140 = 420°

measure of arc AE + measure of CE + measure of AC +  measure of CE = 420

measure of arc AE + measure of CE +  measure of AC = 360°

measure of CE = 420 - 360 = 60°

The correct answer is second option 60°

8 0
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3 years ago
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