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Sonbull [250]
3 years ago
11

A fireman has 12 ft. ladder and a 16 ft ladder. He leans the 12 ft ladder against a house at an angle of 57 degrees. He leans th

e 16 ft ladder against a house 30-degree angle. Which ladder will he climb to the higher height? Explain you answer
Mathematics
1 answer:
Sedbober [7]3 years ago
4 0

Answer:

12 feet ladder

Step-by-step explanation:

Height of 12 ft ladder :

Using Pythagoras :

Tan θ = Adjacent / hypotenus

Tan 57 = h / 12

1.5398649 * 12 = 18.48 feets

For 16 feet ladder :

Tan θ = Adjacent / hypotenus

Tan 30 = h / 16

0.5773502 * 16 = 9.24 feets

18.48 > 9.24

Hence, he'll climb the 12 feets ladder to the higher height

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Find all solutions of the equation below.<br> 7^5-3=7^5x-19
Nutka1998 [239]

Answer:

7⁵-3=7⁵x- 19

Step-by-step explanation:

16807 - 3 = 7⁵x - 19

16804 = 7⁵x - 19

16804 = 16807x - 1

adding 19 on both sides

16804 + 19 = 16807x - 19 + 19

16823 = 16807x

x = 16823 / 16807

16823 upon 16807 is the x

3 0
3 years ago
Erika worked 14 hours last week and 20 hours this week. If she earns $9 per hour, how much did she earn during these two weeks
IrinaK [193]
$9 per hour for 14 hours the first week can be found by doing 9 • 14, which equals 126.
In the first week, Erika earned $126.
$9 per hour for 20 hours for the second week can be found by doing 9 • 20, which equals 180.
In the second week, Erika earned $180.
To find the total amount Erika earned in both weeks, add how much she made in week 1 to how much she made in week 2.
126 + 180 = 306
Erika made $306 during these 2 weeks.
6 0
3 years ago
Simplify Which of the following is correct?
aalyn [17]

The difference between mixed numbers gives:

-5¹/₆ - (-8¹/₂) = 3¹/₃

So the correct option is the third one.

<h3 /><h3>How to get the difference between mixed numbers?</h3>

Here we want to compute the difference between two mixed numbers.

First, remember that we can rewrite those as:

-5¹/₆ = (-5 - 1/6)

-8¹/₂ = (-8 - 1/2)

Now, let's go to the difference:

-5¹/₆ - (-8¹/₂)

First you can see that there are two negative signs together, so it is equivalent to a positive sign:

-5¹/₆ - (-8¹/₂) = -5¹/₆  + 8¹/₂

Now we can replace the mixed numbers to get:

-5¹/₆  + 8¹/₂ = (-5 - 1/6) + (8 + 1/2) = (8 - 5) + (1/2 - 1/6) = (3 + 2/6) = 3 + 1/3

And that can be rewritten to:

3 + 1/3 = 3¹/₃

Which is completely simplified.

So we conclude that the correct option is the third one, counting from the top.

If you want to learn more about mixed numbers:

brainly.com/question/1746829

#SPJ1

6 0
2 years ago
I need help. Thank you.
Oduvanchick [21]

Answer:

D

A=-5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Plsss help me :( ASAP
Alex17521 [72]

Answer:

61.66

Step-by-step explanation:

1. Multiply

2. divide

5 0
3 years ago
Read 2 more answers
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