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Molodets [167]
2 years ago
15

Louie is trying to find a rectangular canvas for his art project. Its width must measure 20 inches and form a 35° angle with the

diagonal of the canvas. What is the height of the canvas? Round your answer to the nearest tenth.
11.5 inches
14.0 inches
16.4 inches
28.6 inches
Mathematics
1 answer:
Anastasy [175]2 years ago
8 0

Answer:

14.0 inches

Step-by-step explanation:

I took the quiz and got it right!

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Rob has 7 ones, nick has 5 ones.they put all their ones together.what number did they make?
Anni [7]
7+5= 12 ones. Or one ten and 2 ones. They made 12.
3 0
3 years ago
Read 2 more answers
John received $50.00 from his aunt for his birthday and wants to buy a new video game with the money. ​ ​The total cost of the v
harkovskaia [24]

Answer:

21.44

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A recent study of 26 city residents showed that the time they had lived at their present address has a mean of 10.3 years with t
svetlana [45]

Answer:

The 95% confidence interval is  9.15<  \mu < 11.45

Step-by-step explanation:

From the question we are told that

     The sample size is  n =  26

      The mean is  \= x =  10.3

       The standard deviation is  s =  3

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

=>   E =  1.96 *  \frac{3}{\sqrt{26} }

=>   E = 1.1532

Generally 95% confidence interval is mathematically represented as  

      \= x -E <  \mu <  \=x  +E

=>   10.3  -1.1532 <  \mu < 10.3  +  1.1532

=>    9.15<  \mu < 11.45

7 0
3 years ago
Sum of all natural numbers from100to300 which are divisible by 4and 5 is​
My name is Ann [436]

If x is a number that is both divisible by 4 and 5, then

\begin{cases}x\equiv0\pmod4\\x\equiv0\pmod5\end{cases}

4 and 5 are coprime, so we can use the Chinese remainder theorem to solve this system and find that x=20n is a solution to the system, where n is any integer. Simply put, any multiple of 20 fits the bill.

Now, there are 11 numbers between 100 and 300 that are divisible by 20 (100, 120, 140, and so on). We have 20n=100 when n=5, so the sum we want to compute is

\displaystyle\sum_{n=5}^{15}20n=\boxed{2200}

4 0
3 years ago
Find the product of 2x2 + 3x - 6 and 4x3 - x + 7.​
yanalaym [24]

Answer:

8x^5 + 12x^4 - 26^3 + 11x^2 + 27x - 42

Step-by-step explanation:

(2x^2 + 3x - 6)(4x^3 - x + 7)

8x^5 -2x^3 +14x^2 + 12x^4 - 3x^2 + 21x -24x^3 + 6x - 42

8x^5 + 12x^4 - 26^3 + 11x^2 + 27x - 42

5 0
2 years ago
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