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3 years ago

Find the values of the pronumerals in this diagram. Write down the reason in each case.

Mathematics

1 answer:

timofeeve [1]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

a and 85 form a straight angle and are supplementary, thus

a + 85 = 180 ( subtract 85 from both sides )

a = 95

b and 85 are vertical angles and are congruent, thus

b = 85

c and 85 are corresponding angles and congruent, thus

c = 85

c and d are vertical angles and congruent, thus

d = 85

In conclusion

a = 95, b = 85, c = 85, d = 85

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Given a sphere with a radius of 5 cm, find its volume to the nearest whole number.

ehidna [41]

Answer:

B - 523cm^3

Step-by-step explanation:

Volume of a sphere is

V = 4/3 * π * r^3

V - volume of the sphere

π - 3.142

r - radius of the sphere

We are provided with

π - 3.142

r - 5

Inserting this values to solve for the volume

V = 4/3 * π * r^3

V = 4/3 * 3.142 * 5^3

V = 1.33 * 3.142 * 125

V = 523.67 cm ^3

To the nearest whole number

V = 524 cm ^3

5 0

3 years ago

[20 Points] If the family plans to move to their retirement home in 10 years, which pool would be more cost effective to install

Alex73 [517]

Answer:

Graph B, because if they move in 10 years they wont pay as much as graph A in the same amount of time

Step-by-step explanation:

text me if you need help

3 0

3 years ago

Read 2 more answers

Can somebody teach me how to do this?

galina1969 [7]

Ratios and fractions are interchangeable (for the most part). A fraction is a type of ratio. And we've all worked with fractions before, so that's what we'll do here.

I can say that the ratio 3:1 is the same as the fraction 3 / 1. Using that fraction, it is fairly easy to find equivalent fractions.

3 / 1 = 6 / 2 = 9 / 3 = 30 / 10

...And so on

Another example, 5:6 = 5 / 6.

5 / 6 = 10 / 12 = 15 / 18 = 30 / 36

To find equivalent fractions, all you need to do is multiply both the numerator and denominator by the same number. As long as that number is the same (and your multiplication is correct), then the new fraction will be equivalent to the original.

Hope this helps!

4 0

2 years ago

Simplify the following using BODMAS <br> 3p + [5 − (2p + 7q)]

enot [183]

Hopes this helps if it don’t than sorry:

Answer: p + 5 - 7q

3 0

3 years ago

Read 2 more answers

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took these 100 customer

AlladinOne [14]

Answer:

$4-2.326\frac{1}{\sqrt{100}}=3.767$

$4+2.326\frac{1}{\sqrt{100}}=4.233$

So on this case the 98% confidence interval would be given by (3.767;4.233)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=4$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=100 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.01,0,1)".And we see that $z_{\alpha/2}=2.326$

Now we have everything in order to replace into formula (1):

$4-2.326\frac{1}{\sqrt{100}}=3.767$

$4+2.326\frac{1}{\sqrt{100}}=4.233$

So on this case the 98% confidence interval would be given by (3.767;4.233)

4 0

3 years ago