The product of two ratio rational numbers is 48/5. If one of the rational number is 66/7, find the other rational number.

What is the probability that a point chosen at random in the rectangle is also in the blue triangle? A triangle inside of a rect

Oduvanchick [21]

Alright, lets get started.

Two sides of the rectange are 14 and s.

So, the area of the rectange would be =

A triangle is cut from the rectangle.

The height of the triangle is =

The base of the triangle is = 14

So area of the triangle would be =

area of the triangle would be =

So, the area of shaded region = area of rectange - area of triangle

the area of shaded region =

As per given in question, area of shaded region is 84, hence

..........equation

So, this is the equation for s : Answer

Hope it will help :)

5 0

2 years ago

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Wanahton is cooking a breadstick on a rectangular baking sheet measuring 9\dfrac129

salantis [7]

Answer:

The longest bread stick is approximately 16 in

Explanation:

The diagram representing the tray is shown in the attached image

From the diagram, we can note that the diagonal of the tray represents the hypotenuse of a right-angled triangle having legs 9.5 in and 13 in

Therefore, to get the length of the hypotenuse, we can use the Pythagorean equation which is as follows:

c² = a² + b²

where c is the length of the hypotenuse and a and b are the length of the two legs

Substitute with the givens in the above equation to get the length of the hypotenuse as follows:

c² = (9.5)² + (13)² = 259.25

c = 16.1 in which is approximately 16 in

From the above, we can conclude that:

The longest bread stick that can be fit straight along the diagonal of the tray is approximately 16 in

Hope this helps :)

7 0

1 year ago

Basing the Results on Probability

kodGreya [7K]

Basing the results on Probability is calculation. The correct option among all the options that are given in the question is the third option or option "c". Probability is basically calculating the chance of an event happening based on an experiment that is performed. I hope the answer comes to your help.

5 0

2 years ago

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A restaurant will select 1 card from a bowl to win a free lunch. Jo puts 5 cards in the bowl. The bowl has 100 cards. What are t

liraira [26]

Answer:

1/20

Step-by-step explanation:

8 0

2 years ago

What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly? Write your answer rounded to the neare

Butoxors [25]

Answer:
Interest earned = 2713.8

Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.

1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3

Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8

2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8

Hope this helps :)

7 0

1 year ago

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