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oksano4ka [1.4K]
3 years ago
7

N Level 2017 1 Bryan is using a ladder which is 4.5 m long. He puts it against a wall so that the bottom of the ladder is 1.2 m

from the wall. 4.5 1.2 The safe working angle for a ladder is between 74º and 76° to the horizontal. Is the ladder in a safe position for Bryan to use? Show the working on which you base your decision.​
Mathematics
2 answers:
cluponka [151]3 years ago
5 0

Answer:

133

Step-by-step explanation:

I am added all the degrees

11Alexandr11 [23.1K]3 years ago
5 0

Given:

Length of ladder = 4.5 meters

Length between ladder and wall = 1.2 meter

To find:

If the angle of the ladder is between 74° - 76°

Steps:

We know,

cos(x) =  \frac{adjacent}{hypotenuse}

Here 'x' is the angle of the ladder. Substituting the values,

cos(x) = \frac{1.2}{4.5}

x = cos^{-1}(\frac{1.2}{4.5}  )

x = cos^{-1}(0.2666)

Now we can either use natural cos table or use aa calculator, i am going to use the calculator but if you want to know how to do it with the table, pls comment to this answer.

x = 74.533°

Since x > 74° and x < 76°, it is safe for work

Therefore, the angle is in the safe position for Bryan to use

Happy to help :)

If u need any help, feel free to ask

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The perimeter of the rectangle below is 112 units. Find the length of side VW . Write your answer without variables. Top YX: 4z
dimaraw [331]

Answer:

VW = 33

Step-by-step explanation:

<em>See attachment for complete question</em>

Given

VY = 4x - 1

VW = 5x + 3

Perimeter = 112

Required

Determine the length of VW

Perimeter is calculated as:

Perimeter = 2 * (Width + Length)

This gives:

Perimeter = 2 * (VW + VY)

Substitute values for VW, VY and Perimeter

112 =  2 * (4x - 1 + 5x + 3)

Collect Like Terms

112 = 2 * (4x + 5x -1 +3)

112 = 2 * (9x +2)

Divide through by 2

56 = 9x + 2

Collect Like Terms

9x = 56 - 2

9x = 54

x = 54/9

x = 6

Substitute 6 for x in VW = 5x + 3

VW = 5 * 6 + 3

VW = 30 + 3

VW = 33

4 0
3 years ago
The exact value of cos 13pi/8 is
Naily [24]

Answer:

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Step-by-step explanation:

We have, Cos (13pi/8)

Since 13pi/8 can be shown as 3pi/2 < 13pi/8 < 2pi

Hence 13pi/8 lies on fourth quadrant.

In fourth quadrant cosine will be positive.

Cos (13pi/8) = cos(3pi/2 + pi/8)

applying formula cos(A+B) = cos A cosB - sinAsinB

i.e Cos(3pi/2 + pi/8) = cos(3pi/2)cos(pi/8) - sin(3pi/2)sin(pi/8)

∵ Remember cos(3pi/2) =0 , sin(3pi/2) = -1

     Cos(3pi/2 + pi/8) = 0 cos(pi/8) - (-1)sin(pi/8)

     Cos(3pi/2 + pi/8) = 0  + 0.3826

      Cos(3pi/2 + pi/8) = 0.3826

Hence we got Cos(13pi/8) = 0.3826                          

6 0
4 years ago
Read 2 more answers
a week before election day, 276 out of 450 people said they would vote for the republican candidate. if 15,240 registered voters
Ann [662]

Answer:

(a) \frac {276}{450}=\frac {y}{15240}

(b) We cross multiply the probability by the total voters

(c) 9347

Step-by-step explanation:

(a)

Probability of getting a republican voter is

\frac {276}{450}=\frac {138}{225}=\frac {46}{75}

\frac {276}{450}=\frac {138}{225}=\frac {46}{75}=\frac {y}{15240}

These are found by dividing the first numerator and denominator by 2, then by 3

To make it complete, the situation is therefore defined as \frac {276}{450}=\frac {y}{15240} where y is unknown value

(b)

Cross multiplication of the probability and number of voters gives the actual figure of y in the equation formed in part a of the question.

(c)

Since we have 15240 voters who plan to participate in election, we cross multiply to get the approximate number of republican voters which yields

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5 0
4 years ago
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Sveta_85 [38]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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nadya68 [22]

Answer:

24% then .245

Step-by-step explanation:

Divide a percentage by 100 to get it in decimal form

7 0
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