Step-by-step explanation:
you ran 40% more than yesterday ?
<h3>
Answer: 5.5 which is choice B</h3>
Have a look at the diagram I posted below. I marked on your image to add in another angle. This angle is also 20 degrees because of congruent alternate interior angles (horizontal lines are parallel). This angle I add in is the reference angle of the triangle
opposite the reference angle is the vertical side x
adjacent to the reference angle is the horizontal side 15
We'll use the tangent rule. Make sure your calculator is in degree mode.
tan(angle) = opposite/adjacent
tan(20) = x/15
15*tan(20) = x <<-- multiply both sides by 15
x = 15*tan(20)
x = 5.45955 <<--- use calculator; this is approximate
x = 5.5 <<--- round to one decimal place
The inequality of -3/5 < 3/2 (x-4) < 1/3 is 3 3/5 < x < 42/9
<h3>How to determine the inequality?</h3>
The inequality expression is given as:
-3/5 < 3/2 (x-4) < 1/3
Multiply through by 2/3
-2/5 < (x-4) < 2/9
Remove the bracket
-2/5 < x-4 < 2/9
Add 4 to the inequality
4 -2/5 < x-4 +4< 2/9 +4
Evaluate the sum and the difference
3 3/5 < x < 42/9
Hence, the inequality of -3/5 < 3/2 (x-4) < 1/3 is 3 3/5 < x < 42/9
Read more about inequality at
brainly.com/question/24372553
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Well since there are 13 cards per suit, you start off with 13 cards. then since there are 4 suits that are able to be used, but one of those 4 is the spades suit. so you have 3 6's that can be used besides the spades. so you are left with a total of 16 cards that fit the description.
Given:
The number is 3091.
To find:
The number of hundreds blocks if there are no thousands block.
Solution:
The given number is 3091.
It can be written as:
There are no thousands block. So,
Therefore, the number of hundreds blocks in 3091 is 30.