Answer:
Each Teddy bear is 18.80
Step-by-step explanation:
94.00 divided by 5 is 18.8
The two equations given are
3x + y = 17 and 4x - y = 18
Now we will first take one equation
3x + y = 17
Then
y = 17 - 3x
Now replacing the value of y in the second equation we get
4x - y = 18
4x - (17 - 3x) = 18
4x + 3x - 17 = 18
7x = 35
x = 35/7
= 5
Putting the value of x in the first equation we get
3x + y = 17
(3 * 5) + y = 17
15 + y = 17
y = 17 - 15
y = 2
So the value of x is 5 and y is 2
Answer:
Step-by-step explanation:
Answer:
The answet is C.
Step-by-step explanation:
First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :
Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :
Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :
The long, straightforward, brute-force way to slog through the problem:
The prism is 12cm x 6cm x 9cm.
Volume of the prism = (12 x 6 x 9) = 648 cm³
Volume of each little cube = (1.5 x 1.5 x 1.5) = 3/375 cm³
Number of little cubes that fit into the prism = (648 cm³) / (3.375 cm³) = <em>
192 of them</em>
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The elegant but almost equally long way to master the problem:
The prism is 12cm x 6cm x 9cm.
If each dimension of your measuring cubie is 1.5cm,
then the prism measures
(8 cubie lengths) x (4 cubie widths) x (6 cubie heights) .
Its volume is (8 x 4 x 6) = <em>192 measuring cubies</em>.
