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OverLord2011 [107]
3 years ago
10

HELP I NEED HELP ASAP

Mathematics
1 answer:
Monica [59]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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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
A dress is on sale for 75% off. The sale price is $30. How much did the dress originally cost
lesya [120]

The dress originally costs $120.

In order to find this, you need to divide the current cost by the percentage you are paying for. Since it's 75% off, you are paying for 25% of the dress's original cost. Therefore, divide 30 by 25%.

30/.25 = $120

7 0
3 years ago
Read 2 more answers
What is the output, or y-value, when you input x = 1 into the function:
Aleksandr [31]

Answer: y=-6

Step-by-step explanation:

By definition, a relation is a function if and only if each input value has one and only one output value.

For this exercise it is important to remember that thw "Input values"  are the values of the variable "x"and the "Output values"  are the values of the variable"y".

In this case you have the following function provided in the exercise:

y = x^4 - 2x^3 + x^2 + 4x - 10

Then, to solve this exercise, you need to follow these steps:

Step 1. You have to substitute x=1 into the function given.

Step 2. Finally, you must evaluate in order to find the corresponding output value (or the value of the variable "y")

You get that this is:

y = (1)^4 - 2(1)^3 + (1)^2 + 4(1) - 10\\\\y=-6

3 0
3 years ago
Write the equation in slope intercept form?
Anika [276]

Answer:

the third one

Step-by-step explanation:

add 2y and 16 to both sides. then divide by 2

7 0
3 years ago
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On Thursday the high temperature was 0 °C. If it was three degrees colder on Friday, what was the temperature?
Rina8888 [55]

Answer:

-3 degrees C

Step-by-step explanation:

We need to subtract 3 degrees from Thursdays temperature

0 - 3

-3 degrees C

8 0
3 years ago
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