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aliina [53]
3 years ago
12

How many triangles can be constructed with three angles, each measuring 66°?

Mathematics
2 answers:
Flura [38]3 years ago
7 0
None 3 * 66 = 198
ALL triangles have a total degree measure of 180 degrees
Gnoma [55]3 years ago
6 0

Answer:

B. None

Step-by-step explanation:

We are given the angles of a triangle as 66°, 66° and 66°

In order for these angles to construct a triangle, the sum of the three angles must be 180°.

So, we get that,

66° + 66° + 66° = 66° + 132° = 198°

Since, the sum of the angles is not 180° .

Therefore, no triangle can be drawn using the angles 66°, 66° and 66°.

Hence, option B is correct

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The news listed that the al?rage price Of a gallon Of gasoline
Virty [35]

Answer:

b. between $3.04 and $3.36

Step-by-step explanation:

Given,

Price of 1 gallon of gasoline = $3.20

Margin of Error = 5%

We have to find out average cost of gallon of gasoline.

For this, we have to find out 5% of the price of gasoline. Which is calculated by dividing 5 by 100 and then multiply it by 3.20.

Amount of margin of error = \frac{5}{100}\times3.20 = 0.16

Hence The margin of error is ±, So we will subtract the amount of margin of error with actual amount of 1 gallon of gasoline. Also we will add the amount of margin of error with actual amount of 1 gallon of gasoline.

Margin of error 1 = 3.20-0.16= \$3.04

Margin of error 2 = 3.20+0.16= \$3.36

Hence the Average cost of a gallon of gasoline should be between $3.04 and $3.36.

3 0
3 years ago
Use Pascal’s Triangle to determine the second term of the expansion of (x + 2)^4.
denis23 [38]

Answer: 10x³

<u>Step-by-step explanation:</u>

n=0                                  1

n=1                                1  2 1

n=2                             1  3  3  1

n=3                           1  4  6  4  1

n=4                         1  5 10 10 5  1

The second term of the expansion is: 5(a)³(b)

= 5(x)³(2)

= 10x³

5 0
4 years ago
Evaluate the expression for the given value of x.<br> 5x + 6 for x = 4
Brrunno [24]
If x=4, rewrite the equation which would be 5(4)+6

First you multiply 4 by 5 which would give you 20

Now put in the 6 in the equation

20+6

20+6=26

Therefore for the expression given the value of x would make your answer be 26

5 0
3 years ago
What is the<br> slope of<br> (-3, 1) and (2, -1)
solmaris [256]

Answer:

the slope is -2/5

Step-by-step explanation:

you do y2-y1 on top of the division sign and x2-x1 on the bottom.

8 0
3 years ago
Accountants at the Tucson​ firm, Larry​ Youdelman, CPAs, believed that several traveling executives were submitting unusually hi
77julia77 [94]

Answer:

a) Y= 90 +46.50(5) +0.35 (340) =441.50

b) The accountant should not question the voucher as the request is much higher than expected.

c) We can add the following variables

d) The percentage of variation in the trip cost that can be explained by the model​ = (0.64)^2 =0.4096 or 40.96%

A. Type of travel (air/car)

B. Gender of the executive (male/female)

The last option is not too important since we are analyzing the traveling executives not the type of business

Step-by-step explanation:

Part a

For this case we have the multiple regression model given by:

Y= 90 +46.50 x_1 +0.35 x_2

Where x_1 represent the number of days on the road and x_2 the distance traveled in miles.

And we want to find the expected amount from a 340​-mile trip that took her out of town for 5 ​days, so we just need to replace x1= 5 and x2=340 and we got:

Y= 90 +46.50(5) +0.35 (340) =441.50

Part b

The expected value taking in count that x1 = 5 and y = 340 is:

Y= 90 +46.50(55) +0.35 (340) =441.50

And the difference from the obtained value is : 685-441.50=243.5

So then the correct answer would be:

The accountant should not question the voucher as the request is much higher than expected.

Part c

We can add the following variables

A. Type of travel (air/car)

B. Gender of the executive (male/female)

The last option is not too important since we are analyzing the traveling executives not the type of business

Part d

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

The coefficient of determination "is a measure used in statistical analysis that assesses how well a model explains and predicts future outcomes. It is indicative of the level of explained variability in the data set".

The percentage of variation in the trip cost that can be explained by the model​ = (0.64)^2 =0.4096 or 40.96%

6 0
3 years ago
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