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Marta_Voda [28]
3 years ago
5

A bag of marbles contains 40 red marbles, 54 blue marbles, and 29 yellow marbles. Which of the following represents the ratio of

yellow to red marbles?
Mathematics
1 answer:
JulsSmile [24]3 years ago
8 0

Answer:

\frac{29}{40}

Step-by-step explanation:

we know that

To find the ratio of yellow to red marbles, divide the numbers of yellow marbles by the number of red marbles

Let

x----->  the numbers of yellow marbles

y----> he number of red marbles

we have

x=29, y=40

so

\frac{x}{y}=\frac{29}{40}

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The sum of three consecutive even numbers is 66. What is the smallest of these numbers?​
maw [93]

Answer:

20

Step-by-step explanation:

one way is guess and check method, you draw a table and try out 3 different consecutive even numbers to see which 3 add up to 66

7 0
3 years ago
The length of each leg of an isosceles right triangle is 4 cm. What is the length of the hypotenuse
miss Akunina [59]

<u>Answer:</u>

5.65 cm

<u>Step-by-step explanation:</u>

We are given that the length of each leg of an isosceles right triangle is 4 cm and we are to find the length of the hypotenuse.

For this, we will use the Pythagoras Theorem:

a ^ 2 = b ^ 2 + c ^ 2

where a is the hypotenuse.

a ^ 2 = 4 ^ 2 + 4 ^ 2

\sqrt { a ^ 2} = \sqrt { 3 2 }

a = 5 . 6 5

Therefore, the length of the hypotenuse is 5.65 cm.

5 0
3 years ago
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Please answer question need help on quiz
zzz [600]

Answer:

x = 18 and x=0

Step-by-step explanation:

7 0
3 years ago
Which graph shows the solution set of <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx-1%7D%7Bx-3%7D%20%5C%20%20%5Ctextless%20%5C%2
forsale [732]

Answer:

Step-by-step explanation:

f(x) = (x - 1)/(x - 3) < 0

The critical points are x = 1 and x = 3

When x < 1, f(x) > 0

When 1 < x < 3,  f(x) < 0  

When x > 3,   f(x) > 0

Note  when x = 3 f(x) has no value and when x = 1 f(x) = 0.

I can't see all the graphs very well  but there should be a red line between 1 and 3 with a clear circle on x = 1 and x = 3.

Looks like its the last choice.

7 0
3 years ago
Last one, use trigonometry to help you solve for y given that one side is 4 and there is an angle of 50 degrees.
Ostrovityanka [42]

Answer:

y = 6.22

You can solve this in two ways.

1.) Use SOH CAH TOA:

I typically start off by labeling the sides of the triangle with H (hypotenuse), O (opposite), and A (adjacent). Because I need to figure out what y is when given an angle and 4, I will use CAH, or cosine.

\cos(angle)  =  \frac{adjacent}{hypotenuse}

\cos(50)  =  \frac{4}{y}

\cos(50)  \times y = 4

y =  \frac{4}{ \cos(50) }

y = 6.22

2.) Use Law of Sines:

Solve for the last angle inside the triangle first.

180 - (50 + 90) = 40

Then use the angle you found (40°) in the equation.

\frac{4}{ \sin(40) }  =  \frac{y}{ \sin(90) }

\frac{4}{ \sin(40) }  \times  \sin(90)  = y

y = 6.22

3 0
3 years ago
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