Answer:
122.30 cm²
Step-by-step explanation:
The figure is a triangular prism.
Formula for calculating surface area of a triangular prism = bh + L(S1 + S2 + S3)
Where,
b = 11 cm
h = 4.3 cm
S1 = 8 cm
S2 = 6 cm
S3 = 11 cm
L = 3 cm
Surface area = 11*4.3 + 3(8 + 6 + 11)
= 47.3 + 3(25)
= 122.3 cm²
Given:
The table of values is:
x : -7 -5 -3 -1
y : 5 9 13 17
To find:
Whether the given data is linear and then find the equation.
Solution:
The given data is linear if the slope and rate of change is constant.
Slope formula:
Using the slope formula. we get
Since the rate of change is constant, i.e., 2, therefore the given data is linear.
The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:
Adding 5 on both sides, we get
Therefore, the equation for the given data is .
Answer:
Step-by-step explanation:
(9x-1)^-1/2 - (x+2)(9x-1)^-1/2
= (9x-1)^-1/2( 1 - (x + 2))
= (9x-1)^-1/2(-1 - x)
= -(x + 1)(9x-1)^-1/2
= -(x + 1) / (9x-1)^1/2
Answer:
Step-by-step explanation:
Since the bag of rice is 4.5 pounds, and there are 16 ounces per pound, multiply 16 x 4 = 64. Now what is half of 16? 8! So divide 5/8 = 0.625.
So in the end, yes the bag of rice will have enough rice. Here's my math:
16 x 4 = 64
5 / 8 = 0.625
So, you will have 64.625 ounces of rice which is plenty for your recipe!
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I really hope this helps you!
The house is in the coordinate plane is (4.5, -1.5).
Thats all I know, hope that helped for now.
~Sam
