Answer:
3. 5cm
Step-by-step explanation:
3. the hypotenuse C squared = side A squared + side B squared. So 3 × 3=9 and 4 × 4 =16 therefore 9 + 16 =25 and the square root of 25 = 5.
4. In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
<h3>Hope it is helpful....</h3>
Answer:
450
Step-by-step explanation:
A = P(1 + rt)
A = final amount
P = initial principal balance
r = annual interest rate
t = time(in years)
Given,
P = 3000
t = 2 years
r = 7.5% = 7.5/100 = 0.075
A = 3000(1 + 0.075*2) = 3450
Interest = 3450 - 3000 = 450
Answer:
8, 82
Step-by-step explanation:
Let x = angle measure
y = complement
y = x+74
Complements add to 90
x+y = 90
Substitute y = x+74 into the equation
x+ x+74 = 90
Combine like terms
2x+74 = 90
Subtract 74 from each side
2x+74-74 = 90-74
2x = 16
Divide by 2
2x/2 = 16/2
x=8
The first angle is 8
8+74 = 82
The other angle is 82
A+b=(2i−4j+3k)+(2j− k)=2i−2j+2k 2a+3b =2(2i−4j+3k)+3(2j− k)
= 4 i−8 j + 6 k + 6 j − 3 k = 4 i − 2j + 3k
|a| = 22 +(−4)2 +32 = √29
|a−b| =|(2i−4j+3k)−(2j− k)|=|2i−6j+4k|
