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3 years ago

which set of number could represent the length of the sides of a right triangle? A 9 11 14 B 15 18 21 C 7 24 25 D 8 9 10

2 answers:

8 0

Common Pythagorean triples include
(3, 4, 5)
(5, 12, 13)
(7, 24, 25)
(9, 40, 41)
The only Pythagorean triple that is an arithmetic sequence is (3, 4, 5), so any arithmetic sequence that is a Pythagorean triple must be a multiple of that, such as (9, 12, 15) or (15, 20, 25).

The arithmetic sequences of selections B and D are unrelated to the (3, 4, 5) triple, so cannot be Pythagorean triples. For selection A, we know that 9² + 11² = 81 + 121 = 202 > 14², so that is not a right triangle.

The appropriate selection is ...
C. 7, 24, 25

Maslowich3 years ago

3 0

The correct answer is c 7 24 25
hope you did well

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On her birthday, Sonia distributed chocolates in an orphanage. She gave 5 chocolates to each child and 20 chocolates to adults.

qwelly [4]

Answer with explanation:

Total number of Children = x Children

Total number of chocolates distributed = y Chocolates

If there are x children, then total number of chocolate got by children= 5 x Chocolate

Number of chocolate got by Adults= 20

Let total number of adults be z.

Expressing the statement in terms of Equation

y = 5 x + 20 z

$z=\frac{y-5 x}{20}$

⇒Number of Adults =z

$=\frac{y-5 x}{20}$

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3 years ago

E is the midpoint of AB. If<br> AE = 4x +6 and EB = 10x - 12,<br> what is AB?

zzz [600]

Answer:

Step-by-step explanation:

Since E is the midpoint, AE and EB are equal. We can write this as such,

4x+6=10x-12 if we solve from here we get 6x=18. Simplify to get x=3. sub in three for x in the AE equation, 4(3)+6 and solve. You'd get 18 as your answer. Double that to get the solution since AE= 1/2AB. 18*2= 36

AB=36

4 0

3 years ago

In a company, it takes 4 employees 4 days to complete a task. It would take 2 employees 8 days to complete the same task.

Triss [41]

The concept that can be used in order to answer this item is that of man-days. The total number of man-days required to do the job should always be constant.

This can be illustrated by the givens above.
Scenario 1:
N1 = (4 employees)(4 days) = 16 man-days

Scenario 2:
N2 = (2 employees)(8 days) = 16 man-days

The equation for determining the value of e is equal to,
k = (d)(e)

The answer is the second choice.

6 0

3 years ago

Read 2 more answers

A carpenter is building a rectangular shed with a fixed perimeter of 54 ft. What are the dimensions of the largest shed that can

lutik1710 [3]

Answer:

the Largest shed dimension is 13.5 ft by 13.5 ft

Largest Area is 182.25 ft²

Step-by-step explanation:

Given that;

Perimeter = 54 ft

P = 2( L + B ) = 54ft

L + B = 54/2

L + B = 27 ft

B = 27 - L ------------Let this be equation 1

Area A = L × B

from equ 1, B = 27 - L

Area A = L × ( 27 - L)

A = 27L - L²

for Maxima or Minima

dA/dL = 0

27 - 2L = 0

27 = 2L

L = 13.5 ft

Now, d²A/dL² = -2 < 0

That is, area is maximum at L = 13.5 using second derivative test

B = 27 - L

we substitute vale of L

B = 27 - 13.5 = 13.5 ft

Therefore the Largest shed dimension = 13.5 ft by 13.5 ft

Largest Area = 13.5 × 13.5 = 182.25 ft²

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2 years ago

Solve the following system of equation with the help of Guass Seidel and Jacobi iterative procedure setting your calculator to 6

Arisa [49]

Answer:

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Step-by-step explanation:

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