Answer:
(a) 720 ways
(b) 120 ways
(c) 24 ways
Step-by-step explanation:
Given
--- number of letters
Solving (a): Number of arrangements.
We have:
So, the number of arrangements is calculated as:
This gives:
This gives:
Solving (b): DA as a unit
DA as a unit implies that, we have:
[DA] N C E R
So, we have:
So, the number of arrangements is calculated as:
This gives:
This gives:
Solving (c): NCE as a unit
NCE as a unit implies that, we have:
D A [NCE] R
So, we have:
So, the number of arrangements is calculated as:
This gives:
This gives:
Answer: He could drive 623.5 miles on a full tank of gasoline
Step-by-step explanation:
Answer:
C. 19.
Step-by-step explanation:
Let's find the answer.
Step 1: divide the first number of 76, which is 7, by 4 and find the integer part.
7/4=1.75, so the integer part is 1.
Step 2: subtract from 7 the (integer part times 4)
7-(1*4)=3
Step 3: put toether the result (3) and the second number of 76, which is 6, so the result is 36.
Step 4: find how many times we need to add 4s to reach 36, so:
4+4+4+4+4+4+4+4+4=36 which means that:
36/4=9
Step 5: put together the two resulted numbers calculated in step 1, which is 1, and step 4, which is 9:
1 and 9 giving 19, so the answer is:
76/4=19.
In conclusion the answer is C. 19.
Answer:
23.6 ft
Step-by-step explanation:
Sketch a right triangle representing this situation. The length of the hypotenuse is 26 ft and the angle of elevation from ground to top of ladder is 65°. The "opposite side" is the reach of the ladder, which we'll call x.
Then:
opp
- sin 65° = ----------
- 26 ft
or (26 ft)(sin 65°) = opp side = height off the ground of top of ladder.
Evaluating this, we get:
(26 ft)(0.906) = 23.56 ft, or, rounded off, 23.6 ft
The ladder reaches 23.6 ft up the side of the building.
