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3 years ago

Determine the unknown side lengths’ to the nearest tenth. for the first question and also please help with question 6

Mathematics

1 answer:

Levart [38]3 years ago

7 0

Answer:

z =15cm and

y=9.0cm

Step-by-step explanation:

Use sine rule

12/ sin53 = z / sin 90

Z = 12 x sin 90 / sin 53

Z = 15cm

To find y the angle opposite to y will be 180-(90+53)=37º

15/sin 90= y/sin37

y= 15 x sin37 /sin 90

y = 9.0cm

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A ________ prism has two congruent, parallel bases and three lateral sides.

Umnica [9.8K]

The answer for the completion exercise shown above is: Triangular.

Therefore, the complete text is: "A triangular prism <span>has two congruent, parallel bases and three lateral sides".

The triangular prisms are also define as polyhedron with a triangular base. This figure has five faces.</span>

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3 years ago

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Coefficient x^2 in the expansion of (2+x)^5

Monica [59]

Alright, expand the given equation:
(2+x) (2+x) (2+x) (2+x) (2+x)
Use FOIL method and distribution to solve
At the final answer, find the x^2 and the number that multiplies to it is the coefficient
I can't do the actually expansion for you, it would take a decently long time. You should be able to, its a good practice. Good luck!

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3 years ago

Given the linear equation, 2x +4= 6, find the rate, initial value, and specific value.

kap26 [50]

Answer: B. The rate is 2, the initial value is 4, and the specific value is 6.

Step-by-step explanation:

for a linear function y = a*x + b

Rate = coefficient that is multiplicating the variable. ( a in this case)

Initial value = value taken of y, when we have x = 0 (b in this case)

Specific value = value forced on y.

In this case, we have:

y = 6 = 2*x + 4

Then:

The coefficient multiplicating x is 2, so the rate is 2.

The constant term is 4, so the initial value is 4.

The value equal to y is 6, so the specific value is 6.

The correct option is B.

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3 years ago

Find the quotient. (12x 2 - 10x -12) ÷ (3x + 2)

MAXImum [283]

I'm attaching the solution.. feel free to ask if you have questions.. I basically did long division. Hope this helps.

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2 years ago

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz. An ornithologi

il63 [147K]

Answer:

The formula to generate 70% confidence interval is: $[\overline{x} - 0.013, \overline{x} + 0.013]$ , in which $\overline{x}$ is the sample mean.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.7}{2} = 0.15$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.15 = 0.85$ , so Z = 1.037.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz.

This means that $\sigma = 0.04$ .

Sample of 10 birds:

This means that $n = 10$ .

The margin of error is of:

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 1.037\frac{0.04}{\sqrt{10}}$

$M = 0.013$

The lower end of the interval is the sample mean of $\overline{x}$ subtracted by M.

The upper end of the interval is the sample mean of $\overline{x}$ added to M.

Then, the formula to generate 70% confidence interval is: $[\overline{x} - 0.013, \overline{x} + 0.013]$ , in which $\overline{x}$ is the sample mean.

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3 years ago