You and your friend are playing a game where you flip a coin and roll a fair four-sided die. You win if the coin is heads and the die lands on an odd number. Your friend wins if the coin is tails and the die lands on an even number. You tie if the coin is heads and the die is even or if the coin is tails and the die is odd. All the possible outcomes of the game are listed below.

If we take outcomes 2,4,5, and 7 as a subset of the sample space, which of the statements below describe this subset?

Answer:

The first side of the triangle = 180 cm

The second side of the triangle = 60 cm

The third side of the triangle =130 cm

Step-by-step explanation:

To solve this, we will follow the steps below;

First, re-write the question in a mathematical format and then solve;

let a=the first side of the triangle

b=the second side of the triangle     and

c=the third side of the triangle

"The first side of a triangle is three times as long as the second side" can be re-write mathematically as:

a=3b ------------------------------------------------(1)

"the third side is 50 cm shorter than the first side" can be re-write as :

c=a-50-----------------------------------------------(2)

"perimeter is 370"  can be re-write as:

a + b + c = 370 --------------------------------------(3)

from equation (2), make b subject of the formula; a= 3b

b=a/3  ------------------------------------(4)

substitute equation (2)   and (4) into equation (3)

a + b + c = 370

a+[tex]\frac{a}{3}[/tex] + a-50 = 370

add 50 to both-side of the equation

a+[tex]\frac{a}{3}[/tex] + a-50 + 50= 370 + 50

a+[tex]\frac{a}{3}[/tex] + a= 420

[tex]\frac{3a + a + 3a}{3}[/tex]  = 420

[tex]\frac{7a }{3}[/tex] = 420

multiply both-side of the equation by 3

[tex]\frac{7a }{3}[/tex] ×3= 420×3

7a = 1260

Divide both-side of the equation by 7

[tex]\frac{7a}{7}[/tex]  =  [tex]\frac{1260}{7}[/tex]

a= 180

from equation (4)   b = a/3

b = 180/3 = 60

from equation (2)  c= a- 50

c= 180 - 50

c= 130

a=   180 cm    

b = 60 cm

c= 130 cm

Therefore,the first side of the triangle = 180 cm

the second side of the triangle = 60 cm

the third side of the triangle =130 cm

Answer:

Step-by-step

149331:

Answer:

149331

Step-by-step explanation:

hope its correct and it helps

Answer:

12%

Step-by-step explanation:

The required percent increase is 12%

Tamanika got a raise in her hourly pay, from $15.50 to $17.36

percentage is defined as, composition of something out of whole inbounds of 100.

since = 17.36 - 15.50/15.50 x 100
= 1.86/15.50 x 100
= 0.12 x 100
= 12

Thus the required percent increase is 12%.

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Answer:

1000 times

Step-by-step explanation:

900000 divide 900 equals 1000

Answer:

it would be 1000 times.

Step-by-step explanation:

All you have to do is find out how many zeros you can put before the 900 and then put a one after it. And don't mind all of the other numbers. They don't matter in this equation. Pretend they are all zeros.

900,000

000,900

You see how many zeros there are before the 900.

Then just add a one 1000

Answer:

7:55

Step-by-step explanation:

30 for dressing added with 15 for eating , added with 10 to make lunch gives us 55 minutes.So 7:00 plus 55 minutes is our answer 7:55.

Answer:

-5

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan x = [tex]\frac{sinx}{cosx}[/tex] , sec x = [tex]\frac{1}{cosx}[/tex] , sin²x + cos²x = 1

Consider the left side

tan²y × cos²y + [tex]\frac{1}{sec^2y}[/tex]

= [tex]\frac{sin^2y}{cos^2y}[/tex] × cos²y + [tex]\frac{1}{\frac{1}{cos^2y} }[/tex] ← cancel cos²y in the product

= sin²y + cos²y

= 1

= right side ⇒ proven

Step-by-step explanation:

[tex] (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1\\

LHS

= (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} \\\\

\frac{\sin^2y}{\cos^2y}\times \cos^2 y + \cos^2 y \\\\

= \sin^2y + \cos^2 y \\\\

= 1\\\\

= RHS\\\\

\purple {\boxed {\bold {\therefore (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1}}} \\[/tex]

Hence Proved

Answer:

I believe it is lol I'm sorry if Its wrong A just seems correct to me

Step-by-step explanation:

Answer:

27648inches÷64inches=432 tiles

Step-by-step explanation:tiles cost 3456

Answer:

B

Step-by-step explanation:

When a discriminant is zero, the quadratic equation has one solution.

Answer:

Its the First and Last answer on Edg

Step-by-step explanation:

I took the test

Answer:

he should set up the problem so he can find the amount he has left to save. so 129.85 - 89.25 = X or the amount he needs.

he could also do 89.25 + X = 129.85

id probably use the second one

Answer:

yes i am doing this iready too lol this is right what the first person answered is correct

Step-by-step explanation:

Answer:

(x+2)(x+1)

Step-by-step explanation:

(x+2)(x+1), if you FOIL, you will get back to the original equation

Answer:

the y axis is the vertical line the x axis is the horizontal lineStep-by-step explanation:

the y axis is the vertical line the x axis is the horizontal lineStep-by-step

Answer:

Step-by-step explanation:

C=5/9(F-32)

Or F-32=9/5C

Put  C=50

F-32=9/5 ×50

F-32=90

F=90+32=122°F

Answer:

yes

Step-by-step explanation:

in 13, both x and y are increasing by 1 correspondingly, and, in 14, both sides are multiplying by 2 together.

Answer:

Step-by-step explanation:

x³ - 4x² + 7x - 28 = x³ - 4x² + 7x - 7*4

                    = x²(x - 4) + 7(x - 4)

                    = (x - 4 )(x² + 7)

Answer:

-5*(-6) = 30

-27/9 = -3

Step-by-step explanation:

We know a negative times a negative is a positive, a positive times a positive is a positive, and a negative times a negative is a positive. This rule goes the same for division.

Using that rule -5*(-6) = 30. Which is a negative times a negative = positive.

-27/9 = -3 Which is a negative divided by positive = negative

Answer:

2/7, 7/13, 5/9, 10/11

Step-by-step explanation:

I used benchmark fractions to determine the order of the fractions above. 2/7 is close to 0, so it is first. 7/13 is close to 1/2, but is less than 5/9, so it is second. 5/9 is also close to 1/2, but it is greater than 7/13, so it is third. 10/11 is close to 1, so it is last.

If this answer is correct, please make me Brainliest!

Answer:

From least to greatest, 2/7-7/13-5/9-10/11

Step-by-step explanation:

It is obvious that 2/7 is the least and 10/11 is the most, and two find out the two middle fractions you should cross multiply to see which is bigger.  

7              5

___ and ___ so now you multiply the denominators together to get 117

13             9

so the fractions will become

7*9          5*13

___ and ___   and when u multiply them together you get 63 for 7/13 and 65

117            117

for 5/9, so 5/9 is bigger

Answer:C, X and Y

Step-by-step explanation:

I just took the test

Start by changing the -8 to plus a negative 8.

Now, the -7 distributes through the parentheses.

This gives us -7(5x) + -7(-8) which simplifies to -35x + 56.

Answer:

12.94 for 1 ft squared

Step-by-step explanation:

You divide 220 by 17.

Answer:

$12.94

Step-by-step explanation:

For 17 ft² = $220

Unit rate = 220/17 = $12.94

Answer:

You can move the place value over to explain

Step-by-step explanation:

Answer:

The runner is going exactly 10.2774922919 meters per second

Step-by-step explanation:

Using the ratio 100:9.73, we can simplify that to 10.2774922919:1

Answer: 25%

Step-by-step explanation:

450/1800

Answer:

25 percent is what percent of her income that goes towards her rent

Answer:

199

Step-by-step explanation:

I believe it's 199. The interval is just 5.

Answer:

the answer is going to be more than 11111111111119 (this is the 26th term)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

you round 33 to 30 and 87 to 90

Answer:

Well I think it's B.. Sorry for the late answer.

Step-by-step explanation:

Answer:

Both graphs have a y-intercept at 0,1.  The y=2^x is steeper than y=5^x

Step-by-step explanation:

If you graph these on a graphing calculator you will clearly see they have the same y-intercept (0,1) and that y=2^x is steeper.

The correct option is option B that is both graphs have a common y-intercept of (0, 1) and y = 2x is steeper.

What is the intercept of a line ?

The point where the line or curve crosses the axis of the graph is called intercept. If a point crosses the x-axis, then it is called the x-intercept.

Theresa is comparing graphs of y = 2x and y = 5x

The y-intercept is the point where a graph crosses the y-axis. In other words, it is the value of y when x = 0.

Let's check

which is y = 2x.

For x = 0 , y = 0

for x = 1 , y = 2

So , here y-intercept will be (0,2)

So , for both the values y - intercept exists for first function which is y = 2x.

Similarly, for y = 5x , there will be a y -intercept of (0,5).

Both graphs have a common y-intercept of (0, 1).

We know that if the slope of the graph is steeper then we can say that the tangent of the angle made by it will be more and it will make more angle with the x axis.

Here , y = 2x is more steeper than y = 5x.

Therefore , the correct option is option B that is both graphs have a common y-intercept of (0, 1) and y = 2x is steeper.

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288.64

this is the real answer the last one was a mistake

The answer is 12

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