Answer:
3.4594
Step-by-step explanation:
To change the base of a logarithm
• 
x = 
where c represents the new base
Changing the base from 2 to 10
11 = 
≈ 3.4594
for a line in the form of y=mx+b, the slope is m and he y intercept is b.
y= -3/4x + 3/2m = -3/4, b=3/2
Answer:
Options (1), (3) and (5)
Step-by-step explanation:
Equation that represents the relationship between the three sides of a triangle is,
a² + b² = c²
Where c = longest side of the triangle
If the length of the given sides satisfy the equation, triangle formed by the sides will be a right triangle.
Option A.
27 in, 36 in, 45 in
(45)² = (27)² + (36)²
2025 = 729 + 1296
2025 = 2025
True.
Option 2.
18 in, 22 in, 28 in
(28)² = (18)² + (22)²
784 = 324 + 484
784 = 808
False.
Option 3
10 in, 24 in, 26 in
(26)² = (10)² + (24)²
676 = 100 + 576
676 = 676
True.
Option 4
20 in, 21 in, 31 in
(31)² = (20)² + (21)²
961 = 400 + 441
961 = 841
False.
Option 5
28 in, 45 in, 53 in
(53)² = (28)² + (45)²
2809 = 784 + 2025
2809 = 2809
True.
Therefore, Options (1), (3) and (5) will be the correct options.
48 divided by 2 = 24
3333 divided by 6 = 555.5
Hi there!
Simple conversion will greatly help us here. Below I'll list some common conversions for pounds and ounces.
16 ounces = 1 pound
32 ounces = 2 pounds
These will greatly aid us in finding how many ounces are in 3lb and 3 ounces. If we know that 2 pounds = 32 ounces then we know that by multiplying that by 4 we'll get how many ounces 8lb is.
32 ounces * 4 = 128 ounces.
However, we're not done there! There are also a leftover 3 ounces meaning once we add that to our 128 ounces we'll get our final answer.
3 ounces + 128 ounces = 8lb and 3 ounces.
131 ounces = 8lb and 3 ounces.
And that's our final answer. :)
