9514 1404 393
Answer:
10
Step-by-step explanation:
The Pythagorean theorem tells you the relationships of sides in a right triangle is ...
a² + b² = c² . . . . . . where 'a' and 'b' are the legs, and 'c' is the hypotenuse
6² +8² = c²
36 +64 = c² = 100
c = √100 = 10
The length of the hypotenuse is 10.
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<em>Additional comment</em>
The ratio of the leg lengths is 8/6 = 4/3. The only right triangle with legs in the ratio 4/3 has the relationship ...
hypotenuse : long leg : short leg = 5 : 4 : 3
If you multiply these numbers by 2, you see they correspond to the side lengths in this triangle. Your familiarity with a 3-4-5 right triangle can let you write down the answer immediately.
Answer:
452.2 cm
Step-by-step explanation:
A = 4πr²
A = 4 (3.14) (6)²
A = 4 (3.14) (36)
A = 452.16
A = 452.2 cm (nearest tenth)
There are 1000ml in a litre
1000 divided by 10 is 100
100 groups of 10ml in 1 litre
Answer:
10:14 15:21 etc.
Step-by-step explanation:
Answer:
b. x - 2y = 4
Step-by-step explanation:
The two points on the graph are (0, -2) and (4, 0).
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (0 - (-2)) / (4 - 0)
= 2 / 4
= 1 / 2
Find y intercept using anyone of the points above:
y = mx + b
-2 = 1/2(0) + b
b = -2
Use m and b to make equation of line:
y = mx + b
y = 1/2x - 2
Possible answers:
a. 4x - 2y = 4
-2y = -4x + 4
y = 2x - 2
b. x - 2y = 4
-2y = -x + 4
y = 1/2x - 2
c. -2x + 4y = -4
4y = + 2x - 4
y = 1/2x - 1
Only choice b equals the equation of line above.
