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Nadya [2.5K]
3 years ago
13

Solve for x Please.

Mathematics
1 answer:
Sonja [21]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Since the triangle is right use the tangent ratio to find x

tan64° = \frac{opposite}{adjacent} = \frac{x}{11}

Multiply both sides by 11

x = 11 × tan64° = 22.55 → B

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The image of a point after a –90° rotation about the origin is (–4, 7). What are the coordinates of the preimage?.
ahrayia [7]
The coordinated of the preimage would be :

x  = x cos θ + y sin θ

y = x sin θ + y cos θ

where 

x = -4  
y = 7
θ = -90

hope this helps
4 0
3 years ago
Help me ASAP!!!!!!!!!!
mr_godi [17]
0.05 is 1/10 the value of 0.5.
3 0
3 years ago
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After a ham is cured it may be smoked to add flavor or to ensure it lasts longer. Typical grocery-store hams are smoked for a sh
Elza [17]

Answer:

107

Step-by-step explanation:

Given that after a ham is cured it may be smoked to add flavor or to ensure it lasts longer.

Let X be the smoking time . Then X is N(mu, 8)

a) The sample is drawn at random

b) The sample represents the population

c) Sample size is sufficient to represent the population

b)For 99% conf interval z critical is taken since population std dev is given

Z critical = 2.58

Hence confi interval = (\mu+/- 2.58*\frac{\sigma}{\sqrt{n} } \\=(\mu +/- 2.58\frac{8}{6} )\\= (\mu -3.44, \mu+3.44)

c) As sample sizes are large and samples are randomly drawn, we can be 99% confident that sample mean falls within this interval

d) If margin of error is only 2, then we must have

2.58*\frac{8}{\sqrt{n} } =2\\10.32=\sqrt{n} \\n=106.50\\n~107

3 0
3 years ago
Approximately how much principal would need to be placed into an account earning 1.58% interest compounded monthly so that it ha
Natalija [7]

Answer:

The initial investment is $821.58

Step-by-step explanation:

Giving the following information:

Future Value (FV)= $90,597

Number of periods (n)= 25*12= 300

Interest rate (i)= 1.58% = 0.0158

<u>To calculate the initial investment, we need to use the following present value (PV) formula:</u>

PV= FV/(1+i)^n

PV= 90,597 / (1.0158^300)

PV= $821.58

The initial investment is $821.58

5 0
3 years ago
You have worked as a guide at the aquarium for two summers. This summer you have been offered the job again, but with a 4 percen
olga nikolaevna [1]

Answer:

More earn this summer per month = $30 more

Entire summer earning (for 2.5 months) = $1950

Step-by-step explanation:

For 2.5 months, you got 1875 dollars, so per month salary is:

1875/2.5 = $750 per month

This summer, you got a 4% raise, that means:

4% = 4/100 = 0.04

The raise is:

0.04 * 750 = $30 raise

So, new monthly salary is:

750 + 30 = $780

So, assuming you will work 2.5 months again this summer, you total earnings would be:

2.5 * 780 = $1950

8 0
3 years ago
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