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3 years ago

I’m very confused, my teacher did not explain well.

Mathematics

1 answer:

Sauron [17]3 years ago

7 0

In order for two triangles to be considered as similar, they must be
- equiangular (all angles equal)
- all sides equal (sss)
- if two pairs of two sides are in proportion or are matching, and one included angle is equal

Q4a) yes, because all the angles are equal (equiangular)

b) yes, because all sides are in matching ratio (so 10/5 is 2, 6/3 is 2 and 8/4 is 2; so they are in matching ratios)

c) yes, because if you plus 60 and 70, you get 130. Minus 180 and 130, you get 50. So, in both triangles the angles will be 60,70 and 50; so they're equiangular

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Describe the relationship between two variables when the correlation coefficient r is one of the following. (a) near –1 strong

zepelin [54]

Answer:

a) strong negative linear correlation.

b) Weak or no linear correlation.

c) strong positive linear correlation.

Step-by-step explanation:

The correlation coefficient r measures the strength and direction (positive or negative) of two variables. The correlation coefficient r is always between -1 and 1. When the coefficient r is negative then the direction of the correlation is downhill (negative) and when it's positive then it's an uphill correlation (positive). Similarly, as the coefficient is closer to -1 or 1 the correlation is stronger, with zero being a non linear relationship.

Now back to the question:

a) Near -1: as we said before, this means an strong negative (-1) linear correlation.

b) Near 0: weak or no linear correlation (we cannot say if its positive or negative because we don't know it it's near zero from the right (positive numbers) or the left (negative numbers)

c) Near 1: strong positive (close to +1) linear correlation

3 0

3 years ago

Factor each polynomial. Look for a GCF first

weeeeeb [17]

Answer:

20. $x\left(x-6\right)\left(x+8\right)$

22. $2\left(x+1\right)\left(x+4\right)$

24. $5m\left(m-1\right)\left(m+7\right)$

Step-by-step explanation:

20. $x^3+2x^{2} -48x$

The GCF is x, so you group it out of the equation first.

$x(x^{2} +2x-48)$

Then, you find 2 numbers that will equal to 2 when you add them and will equal to -48 when you multiply them.

$?+?=2\\?*?=-48$

The two numbers would be -6 and 8. You then differentiate the squares.

$x\left(x-6\right)\left(x+8\right)$

22. $2x^{2} +10x+8$

The GCF is 2, so you must group it out.

$2(x^{2} +5x+4)$

Find the two numbers that will equal to 5 when you add them and will equal to 4 when you multiply them.

$?+?=5\\?*?=4$

The two numbers would be 1 and 4. Finally, differentiate the squares.

$2\left(x+1\right)\left(x+4\right)$

24. $5m^{3} +30m^2-35m$

The GCF is 5m, so you must group it out.

$5m(m^2+6m-7)$

Find the two numbers that will equal to 6 when you add them and will equal to -7 when you multiply them.

$?+?=6\\?*?=-7$

The two numbers would be -1 and 7. Finally, differentiate the squares.

$5m\left(m-1\right)\left(m+7\right)$

7 0

2 years ago

Professional plumbers suggest that a sewer pipe should be sloped 0.25 inch for every foot. find the recommended slope for a sewe

erik [133]

We have been given that professional plumbers suggest that a sewer pipe should be sloped 0.25 inch for every foot.

Therefore, we can find the slope as:

$\text{Slope}=\frac{0.25\text{ inch}}{\text{1 foot}}=\frac{0.25\text{ inch}}{\text{12 inch}}$

$\text{Slope}=\frac{0.25}{12}=\frac{25}{1200}=\frac{1}{48}$

Therefore, the recommended slope for a sewer pipe is $\frac{1}{48}$

5 0

3 years ago

Cindy spends $85 a month on her cell phone plan. She has saved $1,105 to pay her phone bill. How many months will Cindy be able

True [87]

Answer: SHE GOT 13 MONTHS YES SHE DO, 13 MONTHS LEFT IS ANSWER

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

In the wheel of woohoo game I'm taking a chance on a spinner with 20 outcomes if it lands on an even number I'll win a prize How

Aloiza [94]

Answer: The chance here to win is 50%.

Step-by-step explanation: You are taking a chance on a spinner with 20 outcomes. So, we will be considering natural numbers from 1 to 20.

And also, you will a prize if you land on an even number, so we will calculate the probability of getting an even number.

From 1 to 20, there are 10 odd numbers and 10 even numbers out of total 20 numbers.

Let us define the following events -

A = event of getting an even number

and

B = event of getting an odd number.

So, n(A) = 10 and n(B) = 10.

So, the probability of getting an even number is given by

$p(A)=\dfrac{n(A)}{n(A)+n(B)}=\dfrac{10}{10+10}=\dfrac{10}{20}=0.5=50\%.$

Thus, the required chance of winning a prize is 50%.

4 0

3 years ago

Read 2 more answers