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PSYCHO15rus [73]

3 years ago

11

caleb wants to rent a kayak kayak rentals cost 14.50 for a half hour if caleb rents for one hour and forty five minutes how much

will it cost him?

1 answer:

SashulF [63]3 years ago

5 0

14.50 x 2 = 29
14.50 / 2 = 7.25
29 + 7.25 + 14.50 = 50.75

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To approach the runway, a pilot of a small plane must begin a 10° 10 ° descent starting from a height of 1983 feet above the gro

Lubov Fominskaja [6]

Answer:

2.2 miles.

Step-by-step explanation:

Please find the attachment.

Let x be the distance between runway and the airplane, where plane start the approach.

We have been given that to approach the runway, a pilot of a small plane must begin a 10° descent starting from a height of 1983 feet above the ground.

We can see from our attachment that angle DAC is equal to angle BCA (by alternate interior angles).

Side length AB is opposite side and x is hypotenuse for our given angle. Since Sine represents the relation between the hypotenuse and opposite of right triangle, so we will use sine to find the length of x.

$\text{Sin}=\frac{\text{Opposite}}{\text{hypotenuse}}$

$\text{Sin}(10^o)=\frac{1983}{x}$

$x=\frac{1983}{\text{Sin}(10^o)}$

$x=\frac{1983}{0.173648177667}$

$x=11419.6418680692448271$

Since length of x is in feet, let us convert our answer into miles.

1 mile = 5280 feet.

Let us divide length of x by 5280 to get our answer in miles.

$11419.6418680692448271\text{ Feet}=\frac{11419.6418680692448271\text{ feet}}{\frac{5280\text{ feet}}{\text{miles}}}$

$11419.6418680692448271\text{ Feet}=\frac{11419.6418680692448271\text{ feet}}{5280}\times \frac{\text{ miles}}{\text{ feet}}$

$11419.6418680692448271\text{ Feet}=\frac{11419.6418680692448271}{5280}\times \text{ miles}$

$11419.6418680692448271\text{ Feet}=2.162810959\text{ miles}\approx 2.2\text{ miles}$

Therefore, the distance between the runway and the airplane where it start this approach is 2.2 miles.

5 0

3 years ago

91 rounded to the nearest hundred is 100 because 91 is closer to 100 than ? on the number line

Rufina [12.5K]

Answer:

yes

Step-by-step explanation:

91 is closer to 100 than 0

5 0

3 years ago

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Solve for x x -8 = -14

Anit [1.1K]

Answer:

-6

Step-by-step explanation:

x - 8 = -14

Add 8 to both sides of the equation

x - 8 + 8 = -14 + 8

x = -6

4 0

3 years ago

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8.23 A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators

Kitty [74]

Answer:

The 95% confidence interval estimate for the population mean force is (1691, 1755).

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally.

The sample selected here is <em>n</em> = 30.

Thus, the sampling distribution of the sample mean will be normal.

Compute the sample mean and standard deviation as follows:

$\bar x=\frac{1}{n}\sum x=\frac{1}{30}\times 51702=1723.4\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{30-1}\times 232561.2}=89.55$

Construct a 95% confidence interval estimate for the population mean force as follows:

$CI=\bar x\pm z_{\alpha /2}\times\frac{s}{\sqrt{n}}$

$=1723.4\pm 1.96\times\frac{89.55}{\sqrt{30}}\\\\=1723.4\pm 32.045\\\\=(1691.355, 1755.445)\\\\\approx (1691, 1755)$

Thus, the 95% confidence interval estimate for the population mean force is (1691, 1755).

3 0

3 years ago

I am a number between 1 and 50. I am composite. I have 10 factors. My ones digit is a 6. What number am i

quester [9]

The number is 36 because 1,2,3,4,6,9,12,16,24,36 and that is 10 factors

5 0

2 years ago

Read 2 more answers