Which two cities' yearly snowfall,when added together,is half of Henderson's snowfall?

Three pieces of wood measure 20 cm, 41 cm, 44 cm. If the same amount is cut off each piece, the remaining length can be formed i

SIZIF [17.4K]

The length that can be cut off from the three given pieces of wood equally to form a right triangle is 5 cm

Given parameters:

dimension of the three pieces of wood = 20 cm, 41 cm and 44 cm

To find:

the length that is cut off to form a right triangle

let the length that is cut off from each of the wood = y

From Pythagoras theorem, we will have the following equation.

$(44-y)^2 = (20-y)^2 + (41-y)^2\\\\expand \ the \ equation \ as \ follows;\\\\1936 - 88y + y^2 = 400 - 40y + y^2 + 1681 - 82y + y^2\\\\simplify \ by \ collecting \ similar \ terms \ together\\\\(1936 - 400- 1681) + (-88y + 40y+ 82y) + (y^2 - 2y^2) = 0\\\\-145 +34y - y^2 = 0\\\\multiply \ through \ by \ (-1)\\\\y^2-34y + 145 = 0\\\\factorize \ the \ above \ quadratic\ equation\\\\y^2 -5y - 29y + 145 = 0\\\\y(y - 5) -29(y - 5)=0 \\\\(y -5)(y-29) = 0\\\\y = 5 \ \ \ or \ \ \ \ y = 29$

Since the least measurement of one of the pieces of the wood is 20 cm, we cannot cut off 29 cm.

Thus, the highest amount we can cut off equally is 5 cm

learn more here: brainly.com/question/15808950

7 0

3 years ago

RSM QUESTION NEED HELP!!!!!! A pharmacist has a 13 % alcohol solution and another 18 % alcohol solution. How much of each must h

Luden [163]

Answer:

40 grams of 13% alcohol solution and 10 grams of 18% alcohol solution.

Step-by-step explanation:

13%(x) + 18%(50-x) = 14%*50g Multiply them all

0.13x + (9-0.18x) = 7

0.13x-0.18x + 9 = 7 Simplify the equation and subtract 0.13x from 0.18x

9-0.05x = 7 Add 0.05x to each side

9 = 7+0.05x Subtract 7 from both sides

0.05x = 2 Multiply each side by 100

5x = 200 Divide both sides by 5

x = 40

50 - 40 = 10

40 grams and 10 grams

Your welcome

4 0

3 years ago

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In a class of 35 students,19 take history and 12 take economics.If 5 take both subjects, how many take neither showing Venn diag

shutvik [7]

Answer: is 9

Step-by-step explanation: brainlest please

4 0

2 years ago

Suppose that P(A) = 0.4 and P(B) is unknown. (a) Is it possible that P(A and B) = 0.5? Explain why or why not. (b) Is it possibl

zhannawk [14.2K]

Answer and explanation:

Given : Suppose that P(A) = 0.4 and P(B) is unknown.

To find :

(a) Is it possible that P(A and B) = 0.5? Explain why or why not.

P(A) = 0.4

So, P(A and B) cannot be 0.5 because maximum value of P(A and B) is the lowest of P(A) and P(B).

The range of P(A and B) is 0 to 0.4.

Therefore, P(A and B) cannot be greater than P(A).

(b) Is it possible that P(A and B) = 0.3? Explain why or why not.

Yes, it is possible as P(A and B) = 0.3 < P(A)=0.4

(c) Is it possible that P(A or B) = 0.5? Explain why or why not.

Its is possible that P(A or B) = 0.05,

As P(A or B) can have a least value equal to highest of P(A) and P(B) and maximum value of P(A or B) is 1.

So, P(A or B) can be any value within the range 0.4 to 1.

(d) Is it possible that P(A or B) = 0.3? Explain why or why not.

P(A or B) cannot be 0.3 as the least value of P(A or B) is 0.4.

5 0

3 years ago

PLEASE HELP Give an example of an equation that has no solution and show why:

maw [93]

Answer:

2x-3=2x-4

Step-by-step explanation:

2x-3=2x-4

-3=-4

Not true. Thus, no solution.

3 0

3 years ago

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