MATHEMATICS HIGH SCHOOL

Round the number to the hundredths place 12, 863 .14 846?A. 12,863.14

B. 12,900

C. 12,863.15

D. 12,800

Answers

Answer 1
Answer: The hundredth place is two moves from the right of the decimal point.

So here, the hundredth digit is 4 and next digit is 8, so we round the hundredth up to 5 and we are left with 12,863.15 (C)

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Prove that (x^5)-(x^2)+2x +3=0 has at least one real root.Prove that x=cosx has at least one solution.

Answers

The first one is of order 5, so it has either 1, 3 or 5 real roots (unless any coefficent was complex). Proof complete :)
The other one, if it has a solution, it must be in [-1;1]. Because it only gives positive results the solution is further restricted to [0;1]. Because the cosine function is continuous and strictly decreasing on this interval, the difference of x and it's cosine will shrink up to some point within the interval where it gets to 0 (the solution) and then flips sign (the cosine gets less than the number), further decreasing until the end of the interval.

Answer:

ok no cap

Step-by-step explanation:

Allison has a poster that is 15 in by 18 in. What will the dimensions of the poster be if she scales it down by a factor of 1/3

Answers

If you minus one third from 15 and one third from 18, the dimensions would be 10 x 12

15÷3 = 5
18÷3 = 6
15 - 5 = 10
18 - 6 = 12

Ms.Booth has 16 red buttons and 24 blue buttons.She is making finger puppets. Each puppet has the same number of blue buttons and red buttons.How many puppets can she make if she uses all of the buttons

Answers

Answer:

8 finger puppets.

Step-by-step explanation:

If the puppets both have the same number of buttons, you have to find the largest number that will fit into both numbers. In this case that would be 8:

2 red and 3 blue buttons per puppet.

When are triangles considered similar?

Answers

If two pairs of complementary angles in a pair of triangles are congruent, then the triangles are identical. We know this because if two angle pairs are exact, then the third pair must also be equivalent. When the three angle pairs are all identical, the three pairs of sides must even be in proportion.

A triangle considered similar

Two triangles are exact if they meet one of the subsequent criteria.  

  • Two pairs of corresponding angles are equal.
  • Three pairs of corresponding sides are proportional.
  • Two pairs of corresponding sides are proportional and the corresponding angles between them are equivalent.

To learn more about triangle

brainly.com/question/4120351

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When they are directly proportional,  are the same type (such as two equilaterals),  or have common angle lengths!

During the first week of the year, Angelina's dad give her $10 and says that he will give her $10 more each week for the rest of the year. At the end of the year, how much money will Angelina receive from her dad? (Hint : 1 year = 52 weeks) Make a table to show the pattern, and explain your answer.

Answers

52x10= 520+10=530....... She will have $530 by the end of the year

Normally freezing point of water is 32°F. A city treats its streets before the snow storm. In treated streets, the freezing point of water changes to -38°F. What is the new freezing point of treated water?​

Answers