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2 years ago

The perimeter of a triangle is 7 m. The longest side is twice the length of the shortest side. The sum of the

Mathematics

1 answer:

34kurt2 years ago

3 0

Answer:

See below in bold.

Step-by-step explanation:

Let the length of the shortest side be x, then the longest side = 2x.

Also x + y = 2x + 1 where y = length of the middle side,

Simplifying:

2x - x - y = -1

x - y = -1 (A)

Also as the perimeter = 7:

x + 2x + y = 7

3x + y = 7 (B)

Adding (A) and (B):

4x + 0 = 6

x = 6/4 = 1.5

Plug x = 1.5 into equation B:

3(1.5) + y = 7

y = 7 - 4.5 = 2.5.

Answer:

So the shortest side = 1.5, middle = 2.5 and longest = 2*1.5 = 3.

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The odds of flipping a fair coin either heads or tails is 50%. The odds of rolling a six on a fair six sided die is 16.6% or 1 i

creativ13 [48]

Answer:

P( sum is prime )= 73/216

Step-by-step explanation:

The minimum value of the sum will be 3 and maximum value will be 18. So the prime numbers in this range are 3 , 5, 7, 11, 13, 17.

P(sum=3)=1/216, P(sum=5)=6/216, P(sum=7)=15/216, P(sum=11)=27/216, P(sum=13)=21/216, P(sum=17)=3/216.

The final probability will be sum of the above given probabilities.

Hence P( sum is prime )= 73/216

8 0

3 years ago

A survey with a two-point scale was conducted in an organization. It concluded that 85% of the respondents were unsatisfied with

Morgarella [4.7K]

Answer:

Number of the peoples were satisfied with the career guidance are 300 .

Step-by-step explanation:

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ value}$

As given

A survey with a two-point scale was conducted in an organization.

It concluded that 85% of the respondents were unsatisfied with the career guidance they were provided.

If 2,000 people participated in the survey.

Total value = 2000

Percentage = 85%

Putting all the values in the formula

$85 = \frac{Part\ value\times 100}{2000}$

$Part\ value= \frac{2000\times 85}{100}$

$Part\ value= \frac{170000}{100}$

Part value = 1700

i.e

People not satisfied by the career guidance = 1700

People satisfied by the career guidance = Total people participated in survey - People not satisfied by the career guidance .

Putting the values in the above

= 2000 - 1700

= 300

Therefore the number of the peoples were satisfied with the career guidance are 300 .

5 0

3 years ago

Read 2 more answers

Kosma is cooking a lamb stew. When cooking this recipe she uses 12 of a cup of water per person. Today she is cooking for 9 peop

melomori [17]

Kosma used 242 cups of water in total

Kosma is cooking a lamb stew

The recipe uses 12 cups of water per person

She is cooking for 9 people, the number of cups used is calculated by multiplying 12 by 9

= 12 × 9

= 108

She added extra 134 cups of water as she noticed that she will be needing a little extra stew

Total number of cups of water used

= 134 + 108

= 242

Hence Kosma used 242 cups of water for the stew

#SPJ1

5 0

1 year ago

In order to paint your bedroom, you buy 2 gallons of paint that cost $10.50 each, 3 paint brushes that cost $2.99 each, and 2 pa

svlad2 [7]

$32.50 would be your answer for all of those :) good luck :)

6 0

3 years ago

For any perfect square trinomial (quadratic), the constant term (last term) must be positive.

Ronch [10]

Answer:

For the perfect square trinomial (quadratic) i.e. $\left(x\:+\:3\right)^2$ , the constant term (last term) is positive.

Step-by-step explanation:

"Perfect square trinomials" are termed as the quadratics that are the outcomes of squaring binomials.

For example:

$\left(x\:+\:3\right)^2$

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2$

$a=x,\:\:b=3$

$=x^2+2x\cdot \:3+3^2$

$=x^2+6x+9$

Therefore, for the perfect square trinomial (quadratic) i.e. $\left(x\:+\:3\right)^2$ , the constant term (last term) is positive.

5 0

3 years ago