Answer:
7a^4 +35a^2 +28a
Step-by-step explanation:
Area is the product of height and width:
area = height × width
= 7 × (a^4 +5a^2 +4a)
area = 7a^4 +35a^2 +28a . . . . . . use the distributive property
9514 1404 393
Answer:
3/5
Step-by-step explanation:
Let a, b, c represent the probability of a win by Kaden, Keith, and Kipp, respectively.
P(bc' | a') = P(a'bc')/P(a')
P(bc' | a') = (1/2)/(1 -1/6) = (3/6)/(5/6) = 3/5
The probability is 3/5 that Keith beats Kipp when Kaden doesn't win.
Quadrilateral ABCD is a kite
AB is congruent to AD -- definition of a kite
BC is congruent to DC -- definition of a kite
draw a line segment AC
AC is congruent to itself -- identity
triangle ABC is congruent to triangle ADC -- SSS
angle ABC is congruent to ADC
QED
Answer:
Explained below.
Step-by-step explanation:
The formula for the interior angle of any regular polygon is given as;
Interior Angle = 180(n - 2)/n
Where n is number of sides
We are told the interior angle is 40°
Thus;
180(n - 2)/n = 40
Cross multiply to get;
180n - 360 = 40n
180n - 40n = 360
140n = 360
n = 360/140
n = 2.57
Number of sides of a regular polygon cannot be in decimal nor can it have less than 3 sides.
Thus, a shape with interior angle of 40 cannot be a polygon.
Answer:
The length of AA' = √29 = 5.39
Step-by-step explanation:
* Lets revise how to find the length of a line joining between
any two points in the coordinates system
- If point A is (x1 , y1) and point B is (x2 , y2)
- The length of AB segment √[(x2 - x1)² + (y2 - y1)²]
* Lets use this rule to solve the problem
∵ Point A is (0 , 0)
∵ Point A' = (5 , 2)
∵ (x2 - x1)² = (5 - 0)² = 5² = 25
∵ (y2 - y1)² = (2 - 0)² = 2² = 4
∴ The length of AA' = √(25 + 4) = √29 = 5.39
