Answer:
x = 69°
Step-by-step explanation:
In the picture attached,
Length of the ladder = 15 ft
This ladder reaches the height of a building = 14 ft
We have to find the measure of angle formed between the base of the ladder and the ground.
By applying Sine rule in the right triangle formed,
sin(x)° =
sin(x)° =
x =
x = 68.96°
x ≈ 69°
Answer:
4 < x < 12
Step-by-step explanation:
Given the compound inequality statements:
17 < 4x + 1 and 49 > 4x + 1
<h3>17 < 4x + 1 </h3>
Switch sides:
4x + 1 - 1 > 17 - 1
4x > 16
4x/4 > 16/4
x > 4
49 > 4x + 1
Switch sides:
4x + 1 < 49
4x + 1 - 1 < 49 - 1
4x < 48
4x/4 < 48/4
x < 12
Therefore, the correct answer is: 4 < x < 12
Answer:
3. 108.982 feet per second
so yes faster than 100 feet per second
4.
5. 46.336°
6. 31.999°
7. 73.301°
8. 18.435°
Step-by-step explanation:
3. tan(16)= 250/x
x=250/tan(16)
x= 871.853611
speed=871.853611/8
= 108.982 feet per second
so yes faster than 100 feet per second
4. I do not understand the formulation of the question
5. sinx= 3.4/4.7
asin*(to the power of -1)*(3.4/4.7)=x
x=46.336
6.tanx=4,532/7253
atan*(power -1)* (4,532/7253)=x
x=31.999
7.tanx=500/150
x=73.301
8. tanx=30/10
atan(30/10)=x
x=71.56505118
90-71.56505118=18.43494882(the final angle)
Answer:
The graph attached has a solution. As you can see, the parabolic function DOES intercept the line at (0, 3). Therefore, the solution to that sytem of equation is the point (0, 3).
A system of equations has no solutions when their graphs do NOT meet at any point.
Answer: 0.025
Step-by-step explanation:
Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between the interval [48.0 minutes, 58.0 minutes].
The probability density function :-
Now, the probability that a given class period runs between 50.25 and 50.5 minutes is given by :-
Hence, the probability that a given class period runs between 50.25 and 50.5 minutes =0.025
Similarly , the probability of selecting a class that runs between 50.25 and 50.5 minutes = 0.025