Answer:
-1.
Step-by-step explanation:
(tanx- secx) (tanx+ secx).
= tan^2 x + tanx sec x- tanx sec x - sec^2x
= tan^2 x - sec^2 x.
But sec^2 x = 1 + tan^2 x
so tan^2 x - sec^2 x = -1
Answer:
4.25 i think
Step-by-step explanation:
sorry i have not done these in a while it might be wrong
Sam is at 23 feet below the surface
Explanation
I did 14+9 and got 23
The distance, In feet, from the base of the ladder to the base of the wall is 4.2 ft.
He needs to move the ladder 0.1 ft closer to the base of the building.
The situation forms a right angle triangle.
<h3>Right angle triangle</h3>
Right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.
The length of the ladder is the hypotenuse of the triangle formed. Therefore, the distance, In feet, from the base of the ladder to the base of the wall can be calculated as follows;
cos 65° = adjacent / hypotenuse
cos 65° = d / 10
d = 10 × 0.42261826174
d = 4.22618261741
d = 4.2 ft
She needs to move the ladder so it reached a window 9.6 feet above the ground. Therefore, the distance from the base of the ladder and the wall is as follows;
cos 65 = d / 9.6
d = 9.6 × 0.42261826174
d = 4.05696
d = 4.1
Therefore, he needs to move the ladder 0.1 ft closer to the building.
learn more on right angle triangle here: brainly.com/question/14988069
The probability of no boys being chosen will be 0.29.
<h3>What is probability?</h3>
Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Mr. Larsen's third-grade class has 22 students, 12 girls, and 10 boys.
Two students must be selected at random to be in the fall play.
Then the probability of no boys being chosen will be
Total event = ²²C₂ = 231
Favorable event = ¹²C₂ = 66
Then the probability will be
P = 66 / 231
P = 0.2857
P ≅ 0.29
More about the probability link is given below.
brainly.com/question/795909
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