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nataly862011 [7]
2 years ago
5

Find the value of the length a x rounded to 1 DP. The diagram is not drawn accurately

Mathematics
1 answer:
son4ous [18]2 years ago
8 0

Answer:

x ≈ 3.7 m

Step-by-step explanation:

Use the right triangle on the left to find the height h , using the sine ratio

sin39° = \frac{opposite}{hypotenuse} = \frac{h}{7} ( multiply both sides by 7 )

7 × sin39° = h , then

h = 4.4

Using the tangent ration on the right side right triangle, then

tan50° = \frac{opposite}{adjacent} = \frac{h}{x} = \frac{4.4}{x} ( multiply both sides by x )

x × tan50° = 4.4 ( divide both sides by tan50° )

x = \frac{4.4}{tan50} ≈ 3.7 m ( to 1 dec. place )

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From data gathered in the period 2008−2012, the yearly value of U.S. exports can be modeled by the function E(x) = −228x3 + 2,25
vredina [299]

Answer:

The total value the U.S. imported and exported is 19364 billion dollars

Step-by-step explanation:

* Lets explain how to solve the problem

- The yearly value of U.S. exports can be modeled by the function

 E(x) = −228 x³ + 2,252.8 x² − 6,098.5 x + 11,425.8

# x is the number of years after 2008

# E(x) is the value of exports in billions of dollars

- The yearly value of U.S. imports can be modeled by the function

 I(x) = −400.4 x³ + 3,954.4 x² − 11,128.8 x + 17,749.6

# x is the number of years after 2008

# I(x) is the value of imports in billions of dollars

* We need to calculate the total value the U.S. imported and

 exported in 2012

∵ x is the number of years after 2008

∴ At 2012 x = 4 years

- Lets calculate the value of the exports in 2012

∴ E(x) = -228(4)³ + 2,252.8(4)² - 6,098.5(4) + 11,425.8

∴ E(x) = 8484.6 billion dollars

- Lets calculate the value of the imports in 2012

∴ I(x) = -400.4(4)³ + 3,954.4(4)² - 11,128.8(4) + 17,749.6

∴ I(x) = 10879.2 billion dollar

∵ The total value the U.S. imported and exported = E(x) + (I(x)

∴ The total value = 8484.6 + 10879.2 = 19363.8

∴ The total value = 19364 billion dollars

* The total value the U.S. imported and exported is 19364 billion dollars

7 0
3 years ago
Can yall help me with this onee??
umka21 [38]

Answer:

Ok so it's been a minute since I've done this however the answer would be A I think.

  1. 3x+2y=3
  2. subtract 3x and put it behind 2y
  3. divide by 2 throughout the entire equation
  4. subtract 1 3/2 on both sides of the equation
  5. you should get y=0

8 0
3 years ago
PLEASE HELPPPPP ASAP
saul85 [17]

Answer:

it's the last one, the function is decreasing from x=-3 to x=-1

5 0
3 years ago
A nonprofit organization sent mailing labels along with a request for donations to a random sample of 75,000 potential donors on
Law Incorporation [45]

Answer:

Check the explanation

Step-by-step explanation:

The null and alternative hypotheses in symbols and words are as follows:

: p ≤ 0.06 (There has been no change in the contribution rate due to addition of the mailing labels)

: p > 0.06 (The addition of the mailing labels has increased the contribution rate)

Test Statistics

The following information is provided: The sample size is N = 75000, the number of favorable cases is X = 5625, and the sample

The z-statistic is computed as follows:

- P_0 (1 -

Test statistic z = 17.297

P-value

P-value corresponding to z = 17.297 for a two tailed test is obtained using standard normal table.

p-value = 0.0000

90% Confidence Interval Calculation

Kindly check the attached image below.

Conclusion

Since p-value = 0.0000 < α = 0.05, we reject null hypothesis .

At 0.05 significance level, there is enough evidence to conclude that the addition of the mailing labels has increased the contribution rate.

Since the 90% confidence interval (0.073, 0.077) does not contain the hypothesized value 0.06, the result is significant and we reject null hypothesis.

In other words, at 0.10 significance level, there is enough evidence to conclude that the addition of the mailing labels has increased the contribution rate.

4 0
3 years ago
What is the missing angel measures for the remaining three angels
GREYUIT [131]

Answer:

A. 131deg

B. 49deg

C. 131deg

Step-by-step explanation:

180-49=131deg

Opposite congruent angles are equal

8 0
3 years ago
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