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Vsevolod [243]
3 years ago
7

In this figure, a and b areA. verticalB. equalC. complementary.D. supplementary.

Mathematics
1 answer:
Andreas93 [3]3 years ago
8 0
It is a supplementary angle. D because the add up to 180.
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Cuboid ABCDEFGH is shown
gtnhenbr [62]

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

tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length}

tan\angle ACF = \dfrac{FA}{AC}

In a cuboid, FA = BG = CH = DE = 9.3

\therefore tan\angle ACF = \dfrac{9.3}{8.63}

\therefore \angle ACF = arctan \left(\dfrac{9.3}{8.63} \right) \approx 47.14^{\circ}

The angle formed between CF and the plane ABCD = Angle ∠ACF ≈ 47.14°

4 0
3 years ago
What is the midpoint between points 1,4 and 9,16​
kondaur [170]

Answer:

(5,10)

Step-by-step explanation:

Midpoint = (x1+x2)/2 , (y1+y2)/2

3 0
3 years ago
At Fabco, there are 156 boots, which make up 26% of the shoes in the store. At Famous Footwear, there are 130 boots, which make
PtichkaEL [24]

Answer:

Famous Footwear has the most sheos.

Step-by-step explanation:

156/26=6=1%

6x100=600

At Fabco there are 600 sheos

130/13=10=1%

10x100=1000

At Famous Footwear there are 1000 sheos

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3 years ago
If my radius is 10 feet, what is my diameter?
Anika [276]

Answer:

Your diameter would be 20.

Step-by-step explanation:

1. Two radius added together is the diameter (if you're talking about a circle.)

2. You add 10+10 because as you said your radius is 10.

3. It would be 20.

Hope this helped!

4 0
3 years ago
The beginning balance on the monthly bank statement for ians checking account was $289.37 and the ending balance was $409.28, wh
Vikki [24]
He deposited $119.91
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Read 2 more answers
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