A cyclist bikes x distance at 10miles per hour and returns over the same path at 8miles per hour .what is the cyclists average rate for the round trip in miles per hour

Answers

Answer 1

Answer: average speed = total distance travelled / time taken
in this case total distance = 2x miles

time taken for first half of the journey = x/10 hours and for second part its x / 8 hours

average speed = 2x / ( x/10 + x/8) = 2 x / ( 4x + 5x / 40)
= 2x * 40 / 9x = 80 / 9 mph 8.89 mph

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Solve the following system of equations:4x + 7y − 2z = 0 3x − 5y + 3z = 9 3x + 6y − z = 1 (−1, 0, −2) (1, 0, −2) (−1, 0, 2) (1, 0, 2)
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What is the area of a rectangle with a height of 3X and a width of 2X -3

Answers

Answer:6x^2 -9x

Step-by-step explanation:

6x2-9x would be the correct answer

Which best explains whether or not all isosceles triangles are similar?a.All isosceles triangles are similar. Two angles within each triangle are always congruent.
b.All isosceles triangles are similar. The triangle sum theorem states that the sum of the angles in a triangle is 180°. Therefore, the third angle can always be determined.
c.All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
d.All isosceles triangles are not similar. Given only the vertex angle of an isosceles triangle, there is not enough information to determine the measures of the base angles. Therefore, it is not possible to determine if the base angles of one isosceles triangle are congruent to the base angles of another.

Answers

The correct answer is:

C) All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.

Explanation:

Imagine we have an isosceles triangle in which the base angles are each 45°. This would make the vertex angle 90°.

Now imagine we have an isosceles triangle in which the base angles are each 30°. This would make the vertex angle 120°.

Since the angles of the first triangle are not congruent to the angles in the second triangle, the triangles are not similar.

This shows that not all isosceles triangles are similar.

Answer: c. All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.

Step-by-step explanation:

An isosceles triangle is a triangle that has two sides of equal length.

Also, the isosceles theorem says that "If two sides of a triangle are congruent, then the angles opposite to these sides are congruent.

Consider a triangle with equal angles measure as 30°( which means the third angles will be 120°) measure and another triangle with equal angles measure as 60 ° °( which means the third angles will be 60°).

⇒ It contradicts the similarity criteria for triangle which says that in similar triangles all corresponding angles are congruent .

∴ All isosceles triangles are not similar .The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.

Add any three numbers of the following and answer should be 60?(2 , 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58)

Answers

Answer:

This is not possible.

Step-by-step explanation:

The given series is : 2 , 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58

Now, adding any three numbers to get 60, is not possible.

The numbers are in the form $2+4n$ where n is a positive integer.

Summing together three such numbers you get $6+4N$

(N = n1 + n2 + n3, ...)

We want to get $6+4N= 60$

=> $4N =54$

=> $n1+n2+n3 =27.5$

Hence, it is not possible.

six, twenty- two, and thirty

In a circle of radius 10 cm, a sector has an area of 40(pi) sq. cm. What is the degree measure of the arc of the sector?

Answers

the main formula is

sector area = n / 360° x Pi r²

4 = n / 360 x r² = n° / 36,

144° = n

Answer:

The degree measure of the arc of the sector is $45.85 degrees\n$

Step-by-step explanation:

The area of a sector is given by

$(n)/(360) \pi r^(2)\n$

Substituting the values in above equation, we get

$40 = (n)/(360) (3.14)10^2\nn = 45.85\n$

This is my question

Answers

Answer:

Step-by-step explanation:

Answer:

Technically it is supposed to be 37.7 but in this case, the answer is C: 37.68 cm

Step-by-step explanation:

I am smart...Calibri is the superior font and green is the superior highlight color.

08.04A)The scatter plot below shows the test scores of a group of students who played games online for different amounts of time in a day:What will most likely be the effect on the test score of a student if the number of hours he/she plays games online increases?

Test score will decrease because the graph shows negative association

Test score will increase because the graph shows positive association

Test score will increase because the graph shows negative association

Test score will decrease because the graph shows positive association

4 graphs are shown:

Which graph represents a positive nonlinear association between x and y?

Graph A

Graph B

Graph C

Graph D

Answers

Answer:

Test score will decrease because the graph shows negative association.

Graph A

Step-by-step explanation:

Clearly from the graph we could observe from the scatter plot that:

Test score will decrease because the graph shows negative association.

( As the points or the test scores are decreasing with the increasing number of hours spent on playing games online)

Positive Nonlinear association:

A positive Non-linear relationship between two variables can be shown with an upward-sloping curve in a graph.

Hence, Graph A represents the following relationship.

( Since graph B and D are linear and graph C is negative association since the value keeps on decreasing)

Part 1 : The scatter plot below shows the test scores of a group of students who played games online for different amounts of time in a day:What will most likely be the effect on the test score of a student if the number of hours he/she plays games online increases?

Test score will decrease because the graph shows negative association

Test score will increase because the graph shows positive association

Test score will increase because the graph shows negative association

Test score will decrease because the graph shows positive association

The correct answer is : Test score will decrease because the graph shows negative association.

Fact : Playing video games is a distraction and many kids fail there grade. Therefore test scores will decrease.

Part 2 : Non Linear: This can be defined as if all the points on the scatter diagram tends to lie near a smooth curve, the correlation is said to be non linear.

Answer = Diagram C

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