Answer:
x = 19
Step-by-step explanation:
Solve for x:
3 x + 43 = 100
Subtract 43 from both sides:
3 x + (43 - 43) = 100 - 43
43 - 43 = 0:
3 x = 100 - 43
100 - 43 = 57:
3 x = 57
Divide both sides of 3 x = 57 by 3:
(3 x)/3 = 57/3
3/3 = 1:
x = 57/3
The gcd of 57 and 3 is 3, so 57/3 = (3×19)/(3×1) = 3/3×19 = 19:
Answer: x = 19
Answer:
12
Step-by-step explanation:
Your ratio is 24:8. This ratio simplified is 3:1. 4x3=12. x=12.
Answer:
A. 4
Step-by-step explanation:
To find the Mean Absolute Deviation (MAD) of a data, the following steps are usually taken:
1. Find the mean
2. Find the distance between each data value and the mean
3. Find the sum of the distances
4. Divide the sum of the distances by the number of data value given
Step 1 to 3 has been solved already from the table given.
The sum of the distances = 20
number of data value = 5
Therefore,
MAD = 20/5 = 4
Answer:
128.67 feet
Step-by-step explanation:
We would be solving this question using the Trigonometric function of tan.
Tan( of the angle of elevation) = height of the tower ÷ height of the shadow.
Angle of elevation = 65°
Height of the tower = unknown, which is designated as X
Height of the shadow = 60 feet.
Therefore,
tan 65° = X/ 60 feet
We crossmultiply
X = tan 65° × 60 feet
X = 128.67041523 feet.
Approximately, X = 128.67 feet.
Therefore, the tower is 128.67 feet tall.
