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3 years ago

2. Amita decides that she wants the molds to have a

Mathematics

1 answer:

VLD [36.1K]3 years ago

4 0

Answer:

amita can only use and it is only 2

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A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E. There is a 10mi/h crosswind blowing due east

crimeas [40]

Answer:

Step-by-step explanation:

v = {[(20sin36°)i + (20cos36°)j] + 10i} mi/h

vE = 20sin36º + 10 = 21.76 mi/h

vN = 20cos36° = 16.18 mi/h

v = √(vE2 + vN2) = √(21.762 + 16.182) mi/h = 27.12 mi/h

θ = tan-1(vN/vE) = tan-1(16.18/21.76) = 36.6º north of east

3 0

3 years ago

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Paraphin [41]

Answer:

Step-by-step explanation:

For a quadratic equation ax² +bx +c= 0, the quadratic formula is as below:

$\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }$

x² -12x +7= 0

$x = \frac{ - ( - 12)± \sqrt{( - 12) {}^{2} - 4(1)(7) } }{2(1)}$

$x = \frac{12± \sqrt{144 - 28} }{2}$

$x = \frac{12± \sqrt{116} }{2}$

$x = \frac{12± \sqrt{4(29)} }{2}$

$x = \frac{12±( \sqrt{4})( \sqrt{29} )}{2}$

$x = \frac{12±2 \sqrt{29} }{2}$

$x = 6± \sqrt{29}$

$∴x = 6 + \sqrt{29} \: \: \: or \: \: \:x = 6 - \sqrt{29}$

6 0

3 years ago

A triangle has sides measuring 15, 15, and 15 . What are the angle measures of the triangle?

deff fn [24]

The angle measures are 60, 60, 60

3 0

3 years ago

Read 2 more answers

Two airport shuttle trains leave the main station at the same time. Shuttle A returns to the station every 8 minutes. Shuttle B

IgorC [24]

The answer is C. 40 minutes

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3 years ago

) Suppose that a subset of five balls will be randomly selected from an urn containing amber, blue, and green balls. (a) If the

vazorg [7]

Answer:

0.0023 = 0.23% probability that all 5 balls selected will be the same color

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the balls are selected is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

Either 5 amber from a set of 6, or 5 blue from a set of 5. So

$D = C_{6,5} + C_{5,5} = \frac{6!}{5!1!} + \frac{5!}{5!0!} = 6 + 1 = 7$

Total outcomes:

5 balls selected from a set of 6 + 5 + 4 = 15. So

$T = C_{15,5} = \frac{15!}{5!10!} = 3003$

Probability:

$p = \frac{D}{T} = \frac{7}{3003} = 0.0023$

0.0023 = 0.23% probability that all 5 balls selected will be the same color

5 0

3 years ago