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Art [367]
3 years ago
7

A handicap ramp that is 25 feet long coves a ground distance of 22 feet. To the nearest degree, what is the angle of elevation o

f incline for the handicap ramp?

Mathematics
1 answer:
bazaltina [42]3 years ago
8 0

Answer:

28.36°

Step-by-step explanation:

The problem represents a right angled triangle as shown in the diagram below.

The length of the handicap ramp is 25 feet.

The side ground distance covered by the ramp is the adjacent of the angle of the triangle and it is 22 feet.

To find the angle of elevation of the incline, we apply SOHCAHTOA:

cos θ = adj / hyp

Therefore:

cos \alpha = 22 / 25\\\\cos \alpha = 0.88\\\\\alpha = cos^{-1} 0.88\\\\\alpha = 28.36^o

The angle of elevation of the incline for the handicap ramp is 28.36°.

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A weighted die comes up spots with the following probabilities: Spots 1 2 3 4 5 6 Probability 0.10 0.15 0.20 0.25 0.20 0.10 If t
Mandarinka [93]

Answer:

Probability (A sum of 10)=0.1025

Step-by-step explanation:

\begin{center}\begin{tabular}{ c c c c c c c } Spots & 1 & 2& 3 & 4& 5 & 6 \\ \\Prob & 0.10 & 0.15& 0.20 & 0.25& 0.20 & 0.10     \end{tabular}\end{center}

To find the Probability the sum is 10, we can either have

i. a 4 and a 6

ii. a 5 and a 5

Pr (A AND B) = Pr (A) x Pr(B)

Pr (A OR B) = Pr (A) + Pr(B)

Probability (A sum of 10) = Pr(getting a 4 AND a 6) OR Pr(getting a 5 AND a 5)

=(0.25 x 0.25)+(0.20 x 0.20)

=0.0625+0.04

=0.1025

3 0
3 years ago
F(x)=−4x <br> 2<br> +5x<br> \text{Find }f(6)<br> Find f(6)
Vilka [71]

Answer:

-114

Step-by-step explanation:

f(x) = -4x^2 +5x

Let x = 6

f(6) = -4(6)^2 +5(6)

     = -4(36) +30

     - 144+30

   = -114

7 0
3 years ago
What is equivalent to 1/5 x 15
Goshia [24]

Answer:

3

hope this answer helps you.....

7 0
3 years ago
The cumulative relative frequency of the number of refrigerators sold per day the Appliance store is
34kurt

Answer:  0.1

Step-by-step explanation:

We know that the to find the cumulative relative frequency we add all of the previous relative frequencies to the corresponding relative frequency .

Given Table :

Number of units  ( per day)           Cumulative relative frequency

             0                                              0.2

             1                                               0.4

             2                                              0.5

              3                                               0.75

             4                                                1.00

The Cumulative relative frequency  corresponds to 2 units per day = 0.5

The Cumulative relative frequency  corresponds to previous row (1 units per day) = 0.4

Now, the relative frequency of sales of 2 units per day = 0.5-0.4=0.1

Hence, the relative frequency of sales of 2 units per day =0.1

3 0
4 years ago
What is the solution to the inequality?
n200080 [17]
The solution to the inequality

7x+18\ \textgreater \ -3

is

x\ \textgreater \ -3

Hope I helped! :)
5 0
3 years ago
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