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dalvyx [7]
3 years ago
14

Find all solutions in the interval [0,2pi) sec^2x + 2tanx = 3

Mathematics
1 answer:
Marysya12 [62]3 years ago
6 0
Tan^2x + 1 + tanx - 3 = 0 tan^2x + tanx - 2 = 0 (tanx + 2)(tanx - 1) = 0 tanx = -2 or tanx = 1 x = 2.034 radians or x = 5.176 radians or x = pi/4 radians or x = 5pi/4 radians
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A line of best fit predicts that when x equals 28, y will equal 27.255, but y actually equals 26. What is the residual in this c
zlopas [31]

Answer:

C) -1.255

Step-by-step explanation:

We are tasked to solve for the residual value given that when x equals 29, y will be equals to 27.255. But, when it is tested, y actual value is 26. The formula in solving residual is shown below:

Residual value = Observed value - predicted value

Residual value =  26 - 27.255

Residual values = -1.255

The answer is -1.255 for residual value.

5 0
2 years ago
Andrew is painting a wall on the side of his house. He has a 20 foot ladder wich makes a 79 degree angle with the ground. Standi
torisob [31]

Andrew can reach a maximum of 24.6ft high up the wall.

The right-angled triangle formed can be solved using the sine ratio. that is

sin(72^\circ})=\dfrac{h}{20}

where h is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for h, we get

0.9816=\dfrac{h}{20}\\\\h=20\times0.9816\\\\h=19.632ft

Since Andrew can reach an extra 5ft above the point where the ladder rests against the wall, the maximum height Andrew can paint is

(19.632+5)ft=24.632ft\\\\\approx24.6ft

Another solved word problem on trigonometry can be found here: brainly.com/question/12146092

3 0
3 years ago
4/5 of a number is more than 3/4 of the number by 5.find the numbers
Nastasia [14]
4/5 of x -3/4 of x =5
solution by LCM

16x-15x/20 =5
x/20 =5
x=100
<span>answer 100</span>
8 0
3 years ago
HELP PLEASEEEEEEEEEE
makvit [3.9K]

Answer:

3

2,-8

Step-by-step explanation:

this should be the two answers

6 0
2 years ago
Help anybody? If so thanks
777dan777 [17]
Acute angle and a right angle makes a obtuse I learned this in 4th
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