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PilotLPTM [1.2K]
3 years ago
7

Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 37 books. There are 1,406 myster

y books. How many shelves will he need to build?How many shelves will he need to build? Landon needs to buildshelves.
Mathematics
1 answer:
xxMikexx [17]3 years ago
8 0
1406/37 = 38
He needs to build 38 shelves
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analyze the diagram below and complete the instructions that follow. find the value of x and the value of y
Aleks [24]
Answers:
x = 2√2 units
y = 2√6 units

Explanation:
The given diagram is a right-angled triangle. This means that the special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent

For getting x and y, we can choose to either work with θ = 30 or θ = 60.
I will work with 30.

1- For x:
We have:
θ = 30
x is the opposite side to θ
4√2 is the hypotenuse
Therefore, we can apply the sine function as follows:
sin θ = opposite / hypotenuse
sin (30) = x / 4√2
x = sin (30) * 4√2
x = 2√2 units

2- For y:
We have:
θ = 30
x is the adjacent side to θ
4√2 is the hypotenuse
Therefore, we can apply the cosine function as follows:
cos θ = adjacent / hypotenuse
cos (30) = y / 4√2
y = cos (30) * 4√2
y = 2√6 units

Hope this helps :)


8 0
3 years ago
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Mr. Ramsey's science students are going on a field trip. He teaches 116 students. They will be nding in vans that seal 18 studen
Vladimir79 [104]

Answer:

6 vans

Step-by-step explanation:

If 1 van can seal 18 students...

116 ÷ 18 = 6.4

Since it's not a whole number, we will estimate it to the nearest whole number which is 6.

8 0
3 years ago
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Select all the correct answers. Which of these pairs of functions are inverse functions?
erica [24]

Answer:

D

Step-by-step explanation:

an inverse function is a function that reverses another function for ex. if f(x)=y and g(y)=x.

3 0
3 years ago
Which graph represents the solution set of this inequality?<br> -3b - 15 &gt; -24
Natasha2012 [34]

Answer:

A

REASON:

It's not B or D because it's increasing and it's not C because if -3 - 15 is -18 then I am pretty sure it's not going to be 3 because it's multiplying  

3 0
3 years ago
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Which term is a perfect square of the root 3x4?
hodyreva [135]

Answer:

85

Step-by-step explanation:

because eight plus five is 85

3 0
3 years ago
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