Answer:
8.95feet
Step-by-step explanation:
The set up is a right angled triangle where;
The camera's horizontal distance from the focus point = 26feet = Adjacent;
The height of the camera above the floor = Opposite = x
Angle of elevation = 19°
According to TOA in trig identity;
Tan theta = opp/adj
Tan 19 = x/26
x = 26tan 19
x = 26(0.3443)
X = 8.95feet
Hence the camera is placed at a height of 8.95feet above the floor
26% = 26%/100%
26/100, 13/50
answer is 13/50
Answer: x + 12 = 3x + -22
12 + x = 3x + -22
Reorder the terms:
12 + x = -22 + 3x
Solving
12 + x = -22 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
12 + x + -3x = -22 + 3x + -3x
Combine like terms: x + -3x = -2x
12 + -2x = -22 + 3x + -3x
Combine like terms: 3x + -3x = 0
12 + -2x = -22 + 0
12 + -2x = -22
Add '-12' to each side of the equation.
12 + -12 + -2x = -22 + -12
Combine like terms: 12 + -12 = 0
0 + -2x = -22 + -12
-2x = -22 + -12
Combine like terms: -22 + -12 = -34
-2x = -34
Divide each side by '-2'.
x = 17
Simplifying
x = 17
Answer:
The 75th term in the sequence is 16
Step-by-step explanation:
The 75th term of a sequence can be considered as the term that is in the position at 75% along the sequence. This is assuming that the sequence has been sorted already from lowest value to highest value
In this sequence, which has 4 terms, we can find the 75th term by finding what term is at 75% (or three-quarters) along the sequence.
To find the 75th term:
Multiply the number of terms by 0.75 (or 75%/100%) :
0.75*4 terms= 3
Then, we find the value of the term that is at position 3 from the left (lowest number)
In this case, the term that is at the 3rd position from the left is 16
Thus, the 75th term in the sequence is 16
Answer:
$6.25 marked up 25% is $7.81
Step-by-step explanation:
First, you have to find what 25% is of 6.25.
Step 1: Our output value is 25.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above, 25=100%.
Step 4: Similarly, x=6.25%.
Step 5: This results in a pair of simple equations:
25=100%(1)
x=6.25%(2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
<u>25 </u> = <u>100</u>
x 6.25
Step 7: Again, the reciprocal of both sides gives
<u> x </u> = <u>6.25</u>
25 100
x= 1.5625
x≈ 1.56
Once you've known what 25% is, you add it to 6.25.
1.56+6.25= 7.81