Answer:
976 square cm
Step-by-step explanation:
Area of one 2d triangle face: (24*14)/2=168 square cm
Area of both 2d triangles faces: 168 + 168 =336 square cm
Area of one side: 25*10=250 square cm
Area of both sides: 250+250=500
Area of base: 14*10=140 (since it's a triangular prism, there's only one base)
Surface Area: 336+500+140=976 square cm
Hope this helps! :)
Answer:
P(A) = 1/2
Step-by-step explanation:
The question seems incomplete, I assume that we want to find the probability of event A.
Here we have a fair six-sided dice, so each one of the six numbers has exactly the same probability of being rolled.
Such that the possible outcomes of rolling the dice is:
{1, 2, 3, 4, 5, 6}
Now we define event A as rolling an even number.
The possible outcomes such that the event A is true are the even numbers:
{2, 4, 6}
So we have 3 outcomes out of 6.
Then the probability of rolling an even numbers, is just the quotient between the number of outcomes of even numbers (3) and the total number of outcomes (6).
Then:
P(A) = 3/6 = 1/2 = 0.5
Answer:
Total FUTA : $669.6
Step-by-step explanation:
Given the information
- Person 1 earned $3900 in the first quarter
- Person 2 earned $20100 in the first quarter
- Person 3 earned $6900 in the first quarter
As we know, FUTA is short for Federal Unemployment Tax Act, and the FUTA tax rate is 6.2% applied to a maximum cumulative earnings of $7,000.
So in this situation, only person 1 and 2 must pay FUTA tax because ther earning are lower than $7,000.
- Person 1: 3900 x 6.2% = $241.8
- Person 3: 6,900 x 6.2% = $427.8
=> Total FUTA : $669.6
A. you can convert it to miles by doing the problem 950,400/5280=180
B. probably miles since that is the biggest us unit
C.60 miles per hou
We know that the angles of a triangle sum to 180°. For ΔABC, this means we have:
(4x-10)+(5x+10)+(7x+20)=180
Combining like terms,
16x+20=180
Subtracting 20 from both sides:
16x=160
Dividing both sides by 16:
x=10
This means ∠A=4*10-10=40-10=30°; ∠B=5*10+10=50+10=60°; and ∠C=7*10+20=70+20=90.
For ΔA'B'C', we have
(2x+10)+(8x-20)+(10x-10)=180
Combining like terms,
20x-20=180
Adding 20 to both sides:
20x=200
Dividing both sides by 20:
x=10
This gives us ∠A'=2*10+10=20+10=30°; ∠B'=8*10-20=80-20=60°; and ∠C'=10*10-10=100-10=90°.
Since the angle are all congruent, ΔABC~ΔA'B'C' by AAA.
