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hammer [34]
3 years ago
8

1. Joshua has a ladder that is 17 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is

16.5 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 70°. Will the ladder be safe at this height? Show your work please.
Mathematics
1 answer:
yan [13]3 years ago
3 0

Answer:

NO, the ladder is too steep.

Step-by-step explanation:

Length of ladder = 17 feet.  This is the hypotenuse.  

 Side a of a right triangle = 16.6    

To answer this, you need one of the trigonometric functions.      Opposite = 16.5    

hypotenuse = 17    

The function you need is the sine function.    

Sin(theta) = opposite / hypotenuse    

sin(theta) = 16.5 / 17    

Sin(theta) = 0.97059    

theta = sin-1(0.07059)    

theta = 76.07  

No the ladder is too steep.

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Show all work <br><br> 14 +18 - 2 x 18 -7
djverab [1.8K]

Answer:

-11

Step-by-step explanation:

BIDMAS

(BRACKETS, INDICES, DIVISION, MULTIPLICATION, ADDITION, SUBTRACTION)

14 + 18 - 2 x 18 -7

the first thing we do is the multiplication (since there is no division in this question)

14 +18 − (2)(18) −7

14 + 18 - (36) - 7

32 - 36 - 7 = -11

5 0
3 years ago
Which of the following is the most important consideration when planning your budget?
Firdavs [7]

The most important consideration when planning your budget is <u>allocating the budget for fixed expenses before flexible expenses. </u>

<h2>Further Explanation </h2>

Fixed expenses are the cost that <u>do not change for a period of time</u>. These include rent or mortgage payment, car payment, dues and subscription.

Flexible expenses are the cost that<u> typically fluctuate</u>. It can be changed, reduced, or eliminated. These include groceries and entertainment costs.  

Since flexible expenses can be changed or reduced, allocating the fixed expenses can lead to the safe side of not living beyond your means.

However, before you allocate your flexible expenses, you have to identify these costs. According to a certified financial planner (CFP) a person may need to review 6 months past their financial statements to know the average of their food-related cost if they fluctuate significantly. It is possible that some people are budgeting fixed amount for food but actually spending more after taking into account the restaurant bills or the food delivery bill for lunch and dinner. Keeping a diary of the expenses you pay with cash, such as restaurant bills and grocery purchases, can help you accurately track what you spend over a given period. Once you know your average, you can budget accordingly.

Needs vs. Wants

Flexible expenses like food and gasoline are needs. Eliminating the less important costs from your budget such as maid services can improve your cash flow.

Learn more

  1. Cash flow brainly.com/question/10714011
  2. Income brainly.com/question/9932763

Keywords: budget, expenses, flexible expenses, fixed expenses

7 0
3 years ago
Read 2 more answers
Find the area under the standard normal distribution curve for each.
yawa3891 [41]
From the standard normal tables, obtain
P(z<1.95) = 0.9744
P(z<0.37) = 0.6443
P(z<1.32) = 0.9066
P(z<1.82) = 0.9656
P(z<1.05) = 0.8531
P(z<2.05) = 0.9798
P(z<0.03) = 0.5120
P(z<0.53) = 0.7019

Answers:
    Range of z                                       Area
     --------------   ---------------------------------------
a.     0 - 1.95                                      0.9744
b.     0 - 0.37                                     0.6443
c.  1.32 - 1.82   0.9656 - 0.9066 =   0.0590
d. 1.05 - 2.05  0.9798 - 0.8531   =   0.1267
e. 0.03 - 0.53  0.7019 - 0.5120   =   0.1899

8 0
3 years ago
Select the correct first step to solve the follow equation: −4(x−5)=−7x+10
Otrada [13]

Answer:

x = -10/3

Step-by-step explanation:

−4(x−5)=−7x+10

Use the distributive property to multiply −4 by x−5.

−4x+20=−7x+10

Add 7x to both sides.

−4x+20+7x=10

Combine −4x and 7x to get 3x.

3x+20=10

Subtract 20 from 10 to get −10.

3x=−10

Divide both sides by 3.

x = -10/3

6 0
3 years ago
A number x is equal to 7. 24. 48. What is the smallest positive integer y such that the product xy is a perfect cube
Tcecarenko [31]
What’s the questionv
8 0
2 years ago
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