An isosceles triangle is a special type of triangle that has two equal sides. Consequently, the two base angles are also equal. Since the interior angles of a triangle should sum up to 180°, the general equation should be
180° = 2*Base angle + Vertex angle
Let the base angle be x. Thus, the vertex angle is equal to
Vertex angle = 4x - 6
Substituting,
180 = 2x + 4x - 6
x = 31°
Vertex angle = 4(31°) - 6
Vertex angle = 118°
Answer:
The probability is 0.8
Step-by-step explanation:
The key to answering this question is considering the fact that the two married employees be treated as a single unit.
Now what this means is that we would be having 8 desks to assign.
Mathematically, the number of ways to assign 8 desks to 8 employees is equal to 8!
Now, the number of ways the couple can interchange their desks is just 2 ways
Thus, the number of ways to assign desks such that the couple has adjacent desks is 2(8!)
The number of ways to assign desks among all six employees randomly is 9!
Thus, the probability that the couple will have adjacent desks would be ;
2(8!)/9! = 2/9
This means that the probability that the couple have non adjacent desks is 1-2/9 = 7/9 = 0.77778
Which is 0.8 to the nearest tenth of a percent
<h2>
Weight of column is 555.83 N</h2>
Step-by-step explanation:
Size of column = 6 inch x 6 inch x 8 ft
Size of column = 0.5 ft x 0.5 ft x 8 ft
Volume of column = 0.5 x 0.5 x 8 = 2 ft³
Specific weight of concrete = 62.4 lb/ft³
Mass = Volume x Specific weight
Mass = 2 x 62.4
Mass = 124.8 lb = 124.8 x 0.454 = 56.66 kg
Weight = 56.66 x 9.81 = 555.83 N
Weight of column is 555.83 N
The expression that represents the total volume of both cubes is
.
The volume of a cube is found by multiplying its length, width, and height; for the first cube, this is
V=(2f)(2f)(2f)=8f³.
For the second cube, this is
V=(3g²)(3g²)(3g²)=27g⁶.
The total area is their sum, so 8f³+27g⁶.
Answer:
$5.47
Step-by-step explanation:
Given data:
Annie has 4 dollar , 11 dimes, 4 pennies.
Tommy has 3 dimes, 3 pennies.
To add the money, let us first convert dime and penny into dollar.
1 dollar = $1
11 dime = $1.1
4 penny = $0.04
3 dime = $0.3
3 penny = $ 0.03
Total money = Annie’s money + Tommy’s money
= $4 + $1.1 + $ 0.04 + $0.3 + $0.03
= $5.47
So, they have $5.47 in all.
