9514 1404 393
Answer:
Step-by-step explanation:
The surface area of the triangular prism is the sum of its base areas and the lateral area. The total area of the two triangular bases is ...
A = bh = 7(6.1) = 42.7 . . . square units
The lateral area is the product of the perimeter of the base and the length of the prism. The height given for the prism is consistent with it having triangular bases that are equilateral triangles. That is, the unmarked dimension is likely 7 units, so the perimeter is ...
P = 7+7+7 = 21
and the lateral surface area is ...
LA = PL = 21·2 = 42
Then the total surface area of the prism is ...
total area = A + LA = 42.7 +42 = 84.7 . . . square units
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The volume of a rectangular prism is given by ...
V = Bh
where B is the area of the base, and h is the height. Your prism has a volume of ...
V = (26.25 in²)(4.5 in) = 118.125 in³
Answer:
I. x = -1
II. y = 1
Step-by-step explanation:
Given the following algebraic expressions;
9x + 10y = 1 .......equation 1
9x - 6y = -15 ......equation 2
To solve using the elimination method, we would subtract eqn 1 from eqn 2.
(9x - 9x) + (-6y - 10y) = (-15 - 1)
0x - 16y = -16
-16y = -16
16y = 16
y = 16/16
y = 1
Next, we would find the value of x;
From eqn 1;
9x + 10y = 1
Substituting the value of y, we have;
9x + 10(1) = 1
9x + 10 = 1
9x = 1 - 10
9x = -9
x = -9/9
x = -1
Answer:
B. 8
Step-by-step explanation:
By evaluate, they mean substitute in the values and solve.
x + 3y - n
= 10 + 3(2) - n
= 10 + 6 - 8
= 8
Please lmk if you have questions.
The relationship between fractions and decimals is that with a fraction you are dividing whereas a decimal is treated like a number.
i.e. 1/4=0.25
Think of decimals as 100 being the whole or 1 so split 100 into 4 and you get 25 or 0.25
Answer:
Width is 24, length is 40
Step-by-step explanation:
64 can be split into 8 groups of 8, and the 8 groups can be split into 3 and 5. Then, take 3 x 8 for the width and 5 x 8 for the length, and you have the answer! I wish to you best of luck!
