Find all complex numbers z such that z^4 = -4.

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

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Answer: B) 961.33 cm³

3 0

3 years ago

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The directions on a sewing pattern say to cut an extra 15% of fabric to account for error. Chloe needs 0.75 yardof fabric to mak

Vlada [557]

Answer: D. Chloe did not cut enough fabric because she only cut the amount of extra fabric.

Step-by-step explanation:

From the question, we are informed that a direction on a sewing pattern say to cut an extra 15% of fabric to account for error and that Chloe needs 0.75 yard of fabric to make a skirt.

Based on the information given in the question, the extra fabric will be:

= 15% × 0.75

= 15/100 × 0.75

= 0.15 × 0.75

= 0.1125

Therefore, the correct amount of fabric to cut will then be the amount of yard needed for the skirt plus the extra. This will be:

= 0.75 + 0.1125

= 0.8625 yards

Based on the above calculation, Chloe did not cut the correct amount of fabric as she only cut the amount of extra fabric.

3 0

3 years ago

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n^2+5/2n

Sergeeva-Olga [200]

Answer: $\bigg(n+\dfrac{5}{4}\bigg)^2$

Step-by-step explanation:

$n^2+\dfrac{5}{2}n+\underline{\qquad}\\\\\\n^2+\dfrac{5}{2}n+\bigg(\dfrac{5}{2\cdot 2}\bigg)^2\\\\\\n^2+\dfrac{5}{2}n+\bigg(\dfrac{5}{4}\bigg)^2\\\\\\=\bigg(n+\dfrac{5}{4}\bigg)^2$

5 0

3 years ago

a person pays a loan of Rs. 3900 in monthly installments each in installment being less than the former by Rs. 20 ,the amount of

musickatia [10]

Answer:

15 installments

Step-by-step explanation:

3900 = Σ $\left \ {{x=n} \atop {x=1}} \right.$ 400 - 20*(n - 1)

4 0

2 years ago

F. How many miles could be driven with 18 gallons of gas?

3241004551 [841]

Answer:

21.5 or 26.8

Step-by-step explanation:

a car with a 18 gallon gas tank can average 21.5 miles per gallon when driven in the stop and go traffic of the city and 26.8 miles per gallon when driven on the highway

8 0

3 years ago