Answer:
19.0681
Step-by-step explanation:
Given in the question that,
angle from ted to the dog = 60° with the ground
height of ted from the ground = 16ft
To find,
distance between dog and the door of ted's building
Considering the scenario make a right angle triangle:
<h3>By using pythagorus theorem:</h3>
Tan 40 = opposite / adjacent
Tan 40 = height / distance between dog and the door
Tan 40 = 16ft / x
x = 16 / tan40
x = 19.068057
x ≈ 19.0681 (nearest to thousand)
So, the dog need to walk 19.0681ft to reach the open door directly below Ted.
Answer:
As shown in picture:
A(-4, 1)
Z(-2, 3)
P(3, -4)
The length of AZ is calculated by:
L = sqrt((-4 - -2)^2 + (1 - 3)^2) = 2.83
The length of AP is calculated by:
L = sqrt((3 - -4)^2 + (-4 - 1)^2) = 8.60
THe length of ZP is calculated by:
L = sqrt((3 - -2)^2 + (-4 - 3)^2) = 8.60
=>Perimeter of triangle AZP is calculated by:
P = AZ + AP + ZP = 2.83 + 8.60 + 8.60 = 20.3
Hope this helps!
:)
I'm not exactly sure of what you mean, but if the number (for example) were 2,3, and 6 you could say 2 and 6 multiply to get 6 and 6 divided by 2 would be 3 and so on. You could do this with any operation. Hope this helps, and sorry if this wasa little unclear.
Answer:
x = 181 and y = 97
Step-by-step explanation:
let called the first number is x
the second number would be called y
We are given that:
x + y = 278 (1)
x = y + 84 (2)
Let change x in (2) into (1):
y + 84 + y = 278
2y + 84 = 278
Subtract 84 from both side, we got:
2y + 84 - 84 = 278 - 84
2y + 0 = 194
Divide both side by 2, we got:
2y / 2 = 194 / 2
y = 97
Because y = 97 and x + y = 278 so x would equal:
x + 97 = 278
Subtract 97 from both side, we got:
x + 97 - 97 = 278 - 97
x + 0 = 181
x = 181 and y = 97
Hope this helped :3
Answer:
- P(x < 84) = 0.3085 or approximately 31%
============
<em>Hello to you from Brainly team!</em>
<h3>Given</h3>
- Mean grade μ = 86,
- Standard deviation σ = 4,
- Grade limit x = 84.
<h3>To find </h3>
- Probability of that a randomly selected grade is less than 84 or P(x < 84).
<h3>Solution</h3>
Find z-score using relevant equation:
Substitute values and calculate:
Using the z-score table find the corresponding P- value.
- P(x < 84) = 0.30854 or approximately 31%
