Answer:
A) 58.5
Step-by-step explanation:
Pythagorean theorem: A squared + B squared = C squared
32 squared + 49 squared = 3425
Find the square root of 3425.
√ 3425 = 58.5234
Round to nearest tenth
58.5
Let us take the second equation first
2a + 2b = 6
Dividing both sides by 2 we get
a + b = 3
a = 3 - b
Putting the value of a in the first equation we get
3a + 4b = 9
3(3 - b) + 4b = 9
9 - 3b + 4b = 9
b = 9 - 9
= 0
Now putting the value of b in the second equation we get
a + b = 3
a + 0 = 3
a = 3
So the value of the unknown variable a is 3 and the value of the unknown variable b is 0.
Answer: 80 cubic centimeters
Step-by-step explanation:
Use the formula: V=
Bh
(B is the area of the pyramid's base)
V=(16)(15)
Multiply: 16 x 15 =240
x 240 = 80
V= 80cubic centimeters
Answer:
They are not similar
Step-by-step explanation:
To determine whether the prism are similar we need to calculate their volumes
Volume of a prism = Base Area * Height
Volume of the first prism = 18ft *8 * 8ft
Volume of the first prism = 1152ft^2
Volume of the second prism = 30t * 15 * 15ft
Volume of the second prism = 6,750ft^2
Since the volumes are different, the prism are not similar.
Answer:
12.57
Step-by-step explanation:
hope this helps
