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3241004551 [841]
3 years ago
5

Given that y = 9 cm and 0 = 23°, work out x rounded to 1 DP. у х 00 PLEASE HELP

Mathematics
1 answer:
lozanna [386]3 years ago
6 0

Answer:

x ≈ 3.5 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin23° = \frac{opposite}{hypotenuse} = \frac{x}{y} = \frac{x}{9} ( multiply both sides by 9 )

9 × sin23° = x , then

x ≈ 3.5 cm ( to 1 dec. place )

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Other form to write 600,000+80,000+10
finlep [7]
Six hundred eighty thousand and ten

hope this helps


or 680,010
7 0
3 years ago
A. the series is absolutely convergent.
Dovator [93]
\displaystyle\sum_{n=1}^\infty\left(1+\frac5n\right)^n

Notice that

\displaystyle\lim_{n\to\infty}\left(1+\frac5n\right)^n=e^5\neq0

which means the series is divergent. So if this is one of those "select all that apply" questions, then both (c) and (j) are the only choices that do.
7 0
3 years ago
The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There
KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling:

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5

We have to find the value of x such that the probability is 0.05

P(X > x)  = 0.05

P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05  

= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05  

=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83  

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

8 0
4 years ago
What is the solution for this system of equations?
erma4kov [3.2K]
Infinitely Many Solutions

4 0
4 years ago
Read 2 more answers
Hello solve this please!
Makovka662 [10]

Answer:

x = 16

Step-by-step explanation:

they are equal angles

Please mark brainliest :)

3 0
4 years ago
Read 2 more answers
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