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:
60
Step-by-step explanation:
A percentage is divided by 100 to get it's decimal form. So 400/100 = 4.0
Now you take the value given and multiply it by the percentage in decimal form.
So in this case.
15*4 = 60
Answer:
Total cost to carpet the living room is $8,512.
Step-by-step explanation:
Living room size = (4*1/4*16)*(7*1/4*16) = 16 ft * 28 ft = 448 sq/ft
Cost = 19 * 448 = $8,512.
Answer:
= £135
Step-by-step explanation:
Original price = 100%
Percentage increase = 20%
New price = 100% + 20% = 120%
If 120% = £162
What about 100% = ?
= (100 x 162) ÷ 120
= 16200 ÷ 120
= £135
Answer:
£1.62
Step-by-step explanation:
add them all up then subtract 100 and forget about the negative sign