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Svetllana [295]
3 years ago
15

A carpenter is building a rectangular bookcase with diagonal braces across the back, as shown. The carpenter knows that mangle A

DC is a right angle and that mangle BDC is 31° greater than mangle ADB. Solve an equation to find mangle BDC and mangle ADB.
Mathematics
1 answer:
forsale [732]3 years ago
6 0

Answer:

Step-by-step explanation:

Let <ADB be x. From the rectangle, <ADB+<BDC = <ADC

<ADB+<BDC = 90° ..... 1

If angle BDC is 31° greater than mangle ADB, then <BDC = x+31

Substituting the given values into the equation 1:

x+x+31 = 90

2x + 31 = 90

2x = 90-31

2x = 59

x = 59/2

x = 29.5°

To get <BDC, we will substitute x = 29.5° into the expression <BDC = x+31

<BDC = 29.5+31

<BDC = 60.5°

Hence <ADB = 29.5° and <BDC = 60.5°

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What is the value of 5x+ 3 when X= 4?<br> 9<br> 12<br> 23<br> 60
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The answer is 23 because you would substitute in the 4 for the X and multiply 5 times 4 = 20 then add 20 plus 3 and you get 23
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The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 40 to 75 mi
jeka57 [31]

Answer:

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes

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A distribution is called uniform if each outcome has the same probability of happening.

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P(X > x) = \frac{b - x}{b - a}

Uniformly distributed over the interval 40 to 75 minutes.

This means that a = 40, b = 75

It is known that the cycle time exceeds 45 minutes

This means that we can use a = 45

What is the probability that the cycle time exceeds 50 minutes?

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3 years ago
Solve for r.<br> 686 = 14r
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Answer:

r = 49

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Need help with this question ​
Andreas93 [3]

The Domain is (-∞, -2) U (-2, 2) U (2, ∞) and Range is (-∞, -2) U [-1, ∞) and x-intercept = (-1.5, 0), (1.5, 0) and y-intercept = (0, -1).

<h3>What is a conic section?</h3>

It is defined as the curve which is the intersection of cone and plane. There are three major conic sections; parabola, hyperbola, and ellipse (circle is a special of type of ellipse).

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

From the graph:

a) The domain: all values of x

The range: all values of y

Except: Values at asymptotes are excluded.

Domain = (-∞, -2) U (-2, 2) U (2, ∞)

Range = (-∞, -2) U [-1, ∞)

b)

x-intercept = (-1.5, 0), (1.5, 0)

y-intercept = (0, -1)

c) Horiznotal asymptotes: y = -2

d)Vetical asymptotes: x = -2, x = 2

e) Oblique asymptotes: There is no oblique asymptotes

Thus, the Domain is (-∞, -2) U (-2, 2) U (2, ∞) and Range is (-∞, -2) U [-1, ∞) and x-intercept = (-1.5, 0), (1.5, 0) and y-intercept = (0, -1).

Learn more about the conic section here:

brainly.com/question/8412465

#SPJ1

7 0
2 years ago
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