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Fofino [41]
3 years ago
13

A 12 foot ladder is leaning against a wall and the foot of the ladder is 5 feet away from the wall. What is the angle between th

e ground and the ladder
Mathematics
1 answer:
Pepsi [2]3 years ago
8 0

Answer:

65.38degrees

Step-by-step explanation:

Given the following

Length of ladder = 12foot = hypotenuse

Distance of the ladder from the wall = 5ft = adjacent

Required

Angle between the ground and the ladder theta

Using the SOH CAH TOA identity

Cos theta = adj/hyp

Cos theta = 5/12

Cos theta = 0.41667

theta = arccos(0.41667)

theta = 65.38 degrees

Hence the angle between the ground and the floor is 65.38degrees

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Our hearts beat approximately 70 times per minute. Express in scientific notation how many times the heart beats over a lifetime
earnstyle [38]

Answer:

2.69 x 10^{9}

Step-by-step explanation:

We are given the heart's speed - 70 bpm

We count the number of minutes in 73 years :

  • 1 year = 365 days
  • 1 day = 24 hours
  • 1 hour = 60 minutes
  • 73 x 365 x 24 x 60 = 38,368,800 minutes

We multiply the heart's bpm with 73 years worth of minutes

38,368,800 x 70 = 2,685,816,000

Write the number in scientific notation = 2.68581 x 10^{9} ≈ 2.69 x 10^{9}

7 0
3 years ago
Find the circumference in inches
Alborosie

Answer:

Step-by-step explanation:

2×radius with pi, 28*pi=28 pi or 87.92

3 0
2 years ago
Read 2 more answers
What is 5/48 into a decimal
Mashutka [201]
5/48=0.1041666666666666666666666666666666666666666666666666666
7 0
3 years ago
What is the product of (3x+7) and (x-7) ?
sleet_krkn [62]

Answer: The product of (3x+7) and (x-7) equals 3x^2 + 28x + 49

Step-by-step explanation:

To find the product of (3x+7) and (x-7) means to multiply both variables: To multiply both variables, we first multiply 3x by the expression, x - 7, then multiply 7 by the expression, x - 7.

(3x × x) +( 3x × 7) + (7 × x) + ( 7 × 7)

= 3x^2 + 21x + 7x + 49

= 3x^2 + 28x + 49

4 0
3 years ago
In September, a greeting card company's total profit was 22% less than it was in august. The total profit for the two months was
Trava [24]
Profit for August: x
Profit for September: x - 22%x
Total Profit for August & September: $689,000

x + x - 22% x = 689,000

2x - .22x = 689,000
1.78x = 689,000
x = 689,000/1.78
x = 387,078.65

August Profits: $387,078.65
September Profits: 387,078.65 - (22%)(387,078.65) = 387,078.65 - 85,157.30 = 301,921.35

August Profits: $387,078.65

September Profits
$301,921.35
5 0
3 years ago
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