Answer:
x = 4, y = 9
Step-by-step explanation:
The angles in a square are right, that is 90°
The diagonals bisect the angles , then
6x + 21 = 45 ( subtract 21 from both sides )
6x = 24 ( divide both sides by 6 )
x = 4
------------------------------------------------
The sides of a square are congruent , then
10y - 29 = 5y + 16 ( subtract 5y from both sides )
5y - 29 = 16 ( add 29 to both sides )
5y = 45 ( divide both sides by 5 )
y = 9
Answer:
She can ride 17.045 Miles in one hour.
Step-by-step explanation:
(250 feet/10 seconds) x (1 mile/5280 feet) x (60 seconds/ 1 minute) x (60 minutes/ 1 hour) = 17.045 Miles per hour
Answer:
x=33
Each base angle measures 69 degrees
Step-by-step explanation:
the 2 base angles are equal so the measure of 1 base angle = (180 - 42) / 2
= 69 degrees
2x + 3 = 69
2x = 66
x = 33
Answer:
19.2
76.8
Step-by-step explanation:
density × volume = mass
mass = 62.4 × (pi × (40/2)² × h)
mass = 78,374.4h
WD = m×9.8×h = 9.8mh
WD = 768,069.12h²
At h = 5
WD = 768,069.12×5²
= 19,201,728 ft-lb
= 19.2 million ft-lb
At h = 10
WD = 76,806,9.12 × 10²
WD = 76,806,912 ft-lb
= 76.8 million ft-lb
Answer:
B
Step-by-step explanation:
The <u>sample space</u> for this experiment is the set of all possible outcomes.
A student rolls a number cube whose six faces are numbered 1 through 6.
Therefore, all possible outcomes are:
- rolled number 1;
- rolled number 2;
- rolled number 3;
- rolled number 4;
- rolled number 5;
- rolled number 6.
Hence, the sample space is {1, 2, 3, 4, 5, 6}