Answer:
The angle formed between CF and the plane ABCD is approximately 47.14°
Step-by-step explanation:
The given parameters are;
BC = 6.8
DE = 9.3
∠BAC = 52°
We note that the angles formed by the vertex of a cuboid are right triangles, therefore, by trigonometric ratios, we get;
sin∠BAC = BC/(The length of a line drawn from A to C)
∴ The length of the line drawn from A to C = BC/sin∠BAC
The length of the line drawn from A to C = 6.8/sin(52°) ≈ 8.63
∴ AC = 8.63
By trigonometry, we have;
The angle formed between CF and the plane ABCD = Angle ∠ACF
In a cuboid, FA = BG = CH = DE = 9.3
The angle formed between CF and the plane ABCD = Angle ∠ACF ≈ 47.14°
Answer:
3in
Step-by-step explanation:
Answer:
72y2-45
Step-by-step explanation:
9y2 + 9(7y2 - 5)
you multiply the 9 by the stuff in the parentheses
9y2 + 63y2 - 45
72y2-45
Answer:
C is correct. If the scale factor is greater than 1, the image is an enlargement. The segment UT could be an enlargement of the segment ST.
Step-by-step explanation:
A. If > 1, then the image of could be .
B. If 0 < < 1, then the image of could be . ( If the scale factor is between 0 and 1, the image is a reduction )
C. If > 1, then the image of could be .
D.If = 2, then the image of is itself.
A is not correct. If the scale factor is between 0 and 1, the image is a reduction.
B is not correct. If the scale factor is between 0 and 1, the image is a reduction.
C is correct. If the scale factor is greater than 1, the image is an enlargement.
D is not correct. If the scale factor is 1, the figure and the image are congruent.
So it's actually 0.36363636... with the 36 repeating, right?
<span>Here's a technique for converting repeating decimals to fractions: </span>
<span>N = 0.3636363636... </span>
<span>100N = 36.36363636... </span>
<span>This means 100N - N = (36.363636...) - (0.36363636...). This simplifies to 99N = 36, because the "0.36363636..." parts of both numbers on the right cancel each other out. </span>
<span>Solving this for N gives </span>
<span>N = 36/99, or 4/11 </span>
<span>If you take a calculator (or use long division) and divide 4 by 11, you'll see that it's 0.36363636...</span>
