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Zigmanuir [339]
3 years ago
5

Explain why cos(x)=sin(90-x) for x such that 0

Mathematics
1 answer:
aleksley [76]3 years ago
8 0
Use the sin(a - b) formula. 
<span>sin(90 - x) = </span>
<span>sin90 cosx - cos90 sinx = </span>
<span>1 cosx - 0 sinx = </span>
cosx
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Find the x-intercept and the y-intercept without graphing. Write the coordinates of each intercept.
ANEK [815]

Answer:

Point of x-intercept: (2,0).

Point of y-intercept: (0,6).

Step-by-step explanation:

1. Finding the x-intercept.

This point is where the graph of the function touches the x axis. It can be found by substituting the "y" for 0. This is how you do it:

y=-3x+6\\ \\-3x+6=0\\ \\-3x=-6\\\\x=\frac{-6}{-3} \\ \\x=2

Hence, the point of x-intercept: (2,0).

2. Finding the y-intercept.

This point is where the graph of the function touches the y axis. It can be found by substituting the "x" for 0. This is how you do it:

y=-3(0)+6\\ \\y=6

Hence, the point of y-intercept: (0,6).

7 0
1 year ago
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35% of 15% of x is equivalent to which of the following
Irina-Kira [14]

Answer:

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6 0
2 years ago
Classwork Let's tick (V) the correct answer.
Fynjy0 [20]

Answer:

Option i

Step-by-step explanation:

The given expression is , 5x² - 3xy .

We can clearly see that there are two terms in the expression , 5x² and 3xy .

<u>T</u><u>herefore </u><u>option </u><u>(</u><u>i)</u><u> </u><u>is </u><u>correct</u><u> </u><u>.</u>

6 0
3 years ago
Which method will determine the volume of the prism with dimensions 2 times 2 1/4 times 4 shown below
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Was increased by 1 inch, the new measure of each side would be 4 inches.
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3 years ago
Points E, F, and D are located on circle C. Circle C is shown. Line segments E C and D F are radii. Lines are drawn from points
elena55 [62]

Answer:

Option (1). 34°

Step-by-step explanation:

From the figure attached, CE and CD are the radii of the circle C.

Central angle CED formed by the intercepted arc DE = 68°

Since measure of an arc = central angle formed by the intercepted arc

Therefore, m∠CED = 68°

Since m∠EFD = \frac{1}{2}(m\angle ECD) [Central angle of an intercepted arc measure  the double of the inscribed angle by the same arc]

Therefore, m∠EFD = \frac{1}{2}(68)

                               = 34°

Therefore, Option (1) 34° will be the answer.

7 0
3 years ago
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