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hjlf
2 years ago
9

given the information in the picture which trigonomic identity can be used to solve for the height of the blue ladder that is le

aning against the building​

Mathematics
2 answers:
PolarNik [594]2 years ago
5 0
  • Height of tower can be taken as perpendicular
  • Base is already given

And we know

\\ \tt\hookrightarrow tan\theta=\dfrac{Perpendicular}{Base}

\\ \tt\hookrightarrow tan47=\dfrac{P}{30}

worty [1.4K]2 years ago
4 0

Answer:

cosine rule - cos = \frac{a}{h}

Step-by-step explanation:

Here the ladder is acting as hypotenuse and base as adjacent.

Formula: cosθ = \frac{adjacent}{hypotenuse}

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Use the principle of inclusion and exclusion to find the number of positive integers less than 1,000,000 that are not divisable
wel
This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.

∴N(c₁) = \frac{999,999}{6} = 166666
N(c₂) = \frac{999,999}{4} = 250000
∴N(c₁c₂) = \frac{999,999}{24} = 41667
∴ Number of positive integers that are not divisible by 4 or 6,

N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
8 0
3 years ago
Because Bernard has some health issues, he must pay 15% more for life insurance. About how much more annually will a $115,000 10
olga2289 [7]

From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.

  • The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is option d. <u>$24</u>

Reasons:

The data in the table are presented as follows;

\begin{tabular}{|c|c|c|}Age&Annual Insurance Premiums (per \$1,000 of face value)&\\&10-Year Term &\\&Male&Female\\35&1.40&1.36\\40&1.64&1.59\\45&2.07&2.01\end{array}\right]

From the above table, we have that the amount a 35 year old without health issues will pay per $1,000 is $1.40

Therefore, the amount to be paid for $115,000 is 115 × $1.4 = $161

The amount Bernard pays = 15% more = 1.15 × $161 = $185.15

Therefore;

The amount more Bernard has to pay = $185.15 - $161 = $24.15 ≈ <u>$24</u>

Learn more about insurance premiums here:

brainly.com/question/3053945

8 0
2 years ago
Read 2 more answers
Simplify each expression. 4(4)(2b)
blondinia [14]

Answer:

32b

Step-by-step explanation:

4(4)(2b)=16(2b)=32b

7 0
3 years ago
The ratio of pens to pencils in Mrs. Bosworth's desk is 4:1. What does this mean?
anzhelika [568]
If there are 4 pens there will be 1 pencil, if there is 1 pencil there will be 4 pens
If the ratio is factored to a number, let's say 3, then there will be 12 pens for every 3 pencils
4 0
3 years ago
ILL GIVE YOU BRAINLIST !!!
kifflom [539]

3m+8-2m^3

M=-1

3x-1=-3

-2x-1=-2

-3+8+2^3

2x2=4x2=8

-3+8+8

-3+16 or 16-3

13

Hope it helps!

4 0
3 years ago
Read 2 more answers
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