9514 1404 393
Answer:
4. height: 5√3 cm; area: 25√3 cm²
5. 30√2 ft ≈ 42.43 ft
Step-by-step explanation:
4. The height of an equilateral triangle is (√3)/2 times the side length, so is ...
height = (√3)/2 × (10 cm) = 5√3 cm
The area is given by the formula ...
A = 1/2bh
A = 1/2(10 cm)(5√3 cm) = 25√3 cm²
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5. The diagonal of a square is √2 times the side length, so the distance from 3rd to 1st base is ...
(30 ft)√2 ≈ 42.43 ft
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The length of the diagonal of a square is something you should be familiar with. If you're not, you can figure the distance using the Pythagorean theorem.
d = √(30² +30²) = √1800 ≈ 42.43 . . . feet
Answer:
$7118.629372623104
Step-by-step explanation:
$8200 × 0.98 ^7 {{{ 7 years
/\
takes away 2%
Answer:
Calculate Principal, Interest Rate, Time or Interest. ... You received $72 in interest after 3 years. ... where I is interest, P is total principal, i is rate of interest per year, and t is total time in years. In this example I = $72, i = 4% and t = 3 years, so ...
Step-by-step explanation:
Answer:
I think number 1=209
number 2=120
number 3=89
Step-by-step explanation:
x= 1st aircraft
y=2nd aircraft
z=3rd aircraft
x=y+89
y=z+31
z=y-31
x+y+z=418
y+89+z+31+y-31=418
2y+89+z=418
2y+z=329
2y+(add z)
2y+y-31=329
3y=360
y=120
x=120+89=209
z=120-31=89
Answer:
4
Step-by-step explanation:
Let x be a number.
The statement can be interpreted as:
- 5 is subtracted <u>from</u> a number : x - 5
- A number is greater than 6 : x > 6
- When 5 is subtracted <u>from</u> 3 times a number, the result is greater than 6 : 3x - 5 > 6
And then we simplify 3x - 5 > 6:
- 3x - 5 > 6
- 3x > 11
- x > 11/3
- x > 3.666...
To get the smallest whole number satisfying the inequality above, we can take the "ceiling" of 3.66 which is 4.
Note:
The ceiling of a number is the nearest integer (or in this case, nearest whole number) of a number. It can be denoted by ceil(x).
For example, the ceiling of 0.1 is 1. The ceiling of 5 is 5 since 5 itself is a integer.