1.20(35)
this would be the same as :
(1 + 0.2)* 35 <==
or it also could have been 35 + 0.20(35)
Answer:
59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.
Step-by-step explanation:
Step 1
Express the angle of inclination as follows;
Tan∅=H/R
where;
∅=angle of inclination
H=vertical rise
R=distance of run
Step 2
Determine the angle inclination when;
H=3 feet
R=2 feet
replacing;
Tan∅=(3/2)=1.5
∅=Tan^(-1)(1.5)
∅=56.31°
Determine the angle inclination when;
H=5 feet
R=3 feet
replacing;
Tan∅=(5/3)=1.67
∅=Tan^(-1)(1.67)
∅=59.03°
59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.
Answer:
2 5/6
Step-by-step explanation:
WE CHANGE 3 1/2 INTO IMPROPER FRACTION WHICH IS 7/2
7/2-2/3=2 5/6
Answer:
B. Congruent - SSS
Step-by-step explanation:
Since, corresponding sides of both the triangles are congruent. Hence, both the triangles are congruent by SSS Postulate.
Answer:
Philip has 1 Quarter, 3 Dimes, 5 Nickels, and 2 Pennys.
Step-by-step explanation:
Given that Philip has 11 coins that equal a total of 82 cents, and his coins include at least 1 quarter 1 dime 1 nickel and 1 penny, to determine how many of each coin does he have the following calculation must be performed:
Quarter = 0.25
Dime = 0.10
Nickel = 0.05
Penny = 0.01
0.82 - 0.25 - 0.10 - 0.05 - 0.01 = 0.41
0.41 = 0.10 x 4 + 0.1 (5 coins + 4 previous coins = 9 coins).
0.41 = 0.10 x 2 + 0.05 x 4 + 0.01 (7 coins + 4 previous coins = 11 coins).
0.25 + (3 x 0.1) + (5 x 0.05) + (2 x 0.01) = X
0.25 + 0.30 + 0.25 + 0.02 = X
0.82 = X
Thus, Philip has 1 Quarter, 3 Dimes, 5 Nickels, and 2 Pennys.
