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kifflom [539]
4 years ago
6

A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude o

f 41,000 feet. Model the most fuel-efficient altitudes using a compound inequality.
Mathematics
1 answer:
aliya0001 [1]4 years ago
8 0

Answer:

x\geq 29,000 and x\leq 41,000

Step-by-step explanation:

Let x be the altitude of a commercial aircraft

=>The expression " A minimum altitude of 29,000 feet" is equal to

x\geq 29,000

All real numbers greater than or equal to 29,000 ft

=>The expression " A maximum altitude of 41,000 feet" is equal to x\leq 41,000

All real numbers less than or equal to 41,000 ft

therefore, The compound inequality is equal to

x\geq 29,000 and x\leq 41,000

All real numbers greater than or equal to 29,000 ft and less than or equal to 41,000 ft

The solution is the interval [29,000,41,000]

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I need help with this proof!
mr Goodwill [35]

Answer:

∠B ≅ ∠F ⇒ proved down

Step-by-step explanation:

<em>In the </em><em>two right triangles</em><em>, if the </em><em>hypotenuse and leg</em><em> of the </em><em>1st right Δ ≅</em><em> the </em><em>hypotenuse and leg</em><em> of the </em><em>2nd right Δ</em><em>, then the </em><em>two triangles are congruent</em>

Let us use this fact to solve the question

→ In Δs BCD and FED

∵ ∠C and ∠E are right angles

∴ Δs BCD and FED are right triangles ⇒ (1)

∵ D is the mid-point of CE

→ That means point D divides CE into 2 equal parts CD and ED

∴ CD = ED ⇒ (2) legs

∵ BD and DF are the opposite sides to the right angles

∴ BD and DF are the hypotenuses of the triangles

∵ BD ≅ FD ⇒ (3) hypotenuses

→ From (1), (2), (3), and the fact above

∴ Δ BCD ≅ ΔFED ⇒ by HL postulate of congruency

→ As a result of congruency

∴ BC ≅ FE

∴ ∠BDC ≅ ∠FDE

∴ ∠B ≅ ∠F ⇒ proved

3 0
3 years ago
You have been assigned to determine whether more people prefer Coke or Pepsi. Assume that roughly half the population prefers Co
Alex Ar [27]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

Step-by-step explanation:

For this case we have the following info given:

ME=0.03 the margin of error desired

Conf= 0.95 the level of confidence given

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

the critical value for 95% of confidence is z=1.96

We can use as estimator for the population of interest \hat p=0.5. And on this case we have that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

3 0
4 years ago
Identify which property you would use first to solve the following equation.
IceJOKER [234]

Answer:

Distributive property

Step-by-step explanation:

In order to solve this equation we first need to distribute 3 into 2y+5, we use the distributive property to do this.

5 0
2 years ago
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Answer: its four inches

Step-by-step explanation:

one green block is 1 inch and there is 4 green blocks meaning that it is four inches

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3 years ago
Please Help Me!
nikitadnepr [17]

Answer:

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Step-by-step explanation:

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