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:
$8
Step-by-step explanation:
5 increase 60% =
5 × (1 + 60%) = 5 × (1 + 0.6) = 8
<em>*Remember that A = angle and S = side.</em>
So remember that <u>similar figures have congruent angles and proportional sides.</u> Looking at triangles ABC and DEF, they both share 85° and 30° angles. <u>With this, the two triangles are similar by AA, or the first option.</u>
Answer:
60 degrees
Step-by-step explanation:
C = 2(pi)r
The radius is 12 cm. We can find the circumference of a circle with radius 12 cm.
C = 2(pi)r = 2(3.14)(12 cm) = 75.36 cm
The length of the arc of the sector is 12.56 cm.
We can find the fraction this length is of the full circumference.
(12.56 cm)/(75.36 cm) = 1/6
The length of the arc of this sector is 1/6 the length of the circumference of the entire circle.
That means the angle of the sector is 1/6 the angle of an entire circle.
An entire circle has a central angle of 360 degrees.
1/6 * 360 degrees = 60 degrees
Answer:
3 digits to the left side
Step-by-step explanation:
The decimal point will move 3 digits to the left side when dividing a decimal by 10³.
