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2 years ago

Which term can be added to the list so that the greatest common factor of the three terms is 1217

Mathematics

1 answer:

kifflom [539]2 years ago

4 0

Answer:

1217

Step-by-step explanation:

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an ice fisherman wishes to cut a hole in the ice which has a diameter of 30 cm. How far around must he cut to create this hole?

olga55 [171]

Given:

Diameter of the hole = 30 cm

To find:

The area of the hole.

Solution:

The radius of a circle is always half of the diameter. It is given that the diameter of the hole is 30 cm. So, the radius of the hole is:

$r=\dfrac{30}{2}$

$r=15$

Area of a circle is:

$A=\pi r^2$

Putting $\pi = 3.14$ and $r=15$ in the above formula, we get

$A=(3.14)(15)^2$

$A=(3.14)(225)$

$A=706.5$

Therefore, the area of the hold is 706.5 square cm.

4 0

3 years ago

A bird seed feeder has the approximate shape of a cone with a diameter of 12 centimeters and a height of 25.5 centimeters. What

timurjin [86]

The equation for the volume of a cone is:
$V= \frac{1}{3} \pi r^{2} h$
where V = volume of the cone, r = radius of the circular base, and h = height of the cone.

You are told that the height, h = 25.5 cm. You are also told that the diameter is <span>12 centimeters. Remember that the diameter of a circle is just twice the radius. Divide 12 by 2 to get the radius: r =12/2 = 6 cm.

Since you know </span>h = 25.5 cm and r = 6 cm, plug these values into your equation for volume of a cone and solve for V, volume:
$V= \frac{1}{3} \pi r^{2} h\\
V= \frac{1}{3} \pi (6) ^{2} (25.5)\\
V \approx 961.33$

------

Answer: B) <span>961.33 cm³ </span>

3 0

3 years ago

Read 2 more answers

A hair salon in Cambridge, Massachusetts, reports that on seven randomly selected weekdays, the number of customers who visited

morpeh [17]

Answer:

a: 28 < µ < 34

Step-by-step explanation:

We need the mean, var, and standard deviation for the data set. See first attached photo for calculations for these...

We get a mean of 222/7 = 31.7143

and a sample standard deviation of: 4.3079

We can now construct our confidence interval. See the second attached photo for the construction steps.

They want a 90% confidence interval. Our sample size is 7, so since n < 30, we will use a t-score. Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)

The t-value is: 1.943

We rounded down to the nearest person in the interval because we don't want to over estimate. It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate. It's better to use 28 and underestimate a little when considering customer flow.