Grace and her friends are playing a game that uses two dice. Each die is a tetrahedron – a four‐sided shape with each side an equilateral triangle. Each side of the die contains one of the digits 1, 2, 3, or 4.
pls. i rlly need answers. for an assignment.
a. Create the sample space of all possible outcomes if you were to roll the two dice
simultaneously. List the digit on the first die first and the digit on the second die
second (i.e. 1,1; 1,2; and so on.) (10 points)
b. What is the theoretical probability that the sum of the two numbers on a roll will
be five? (2 points)

Answer:

A) The total length of each edging in her scale drawing would be 19.2 centimeters.

B) Square or rectangle

C) angle  α= 53.13 degrees

angle β=  36.87 degrees

height=  32 inches

base= 24 inches

hypotenuse 40 inches.

Step-by-step explanation:

Part A:

If the roll edging is 96 inches long and the scale chosen is

5inches = 1 cm

96inches /5= 19.2cm

The total length of each edging in her scale drawing would be 19.2 centimeters.

Part B:

The quadrilaterals such rectangle square right  trapezoid have a pair of 90 degrees angles.

If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.

Dividing 19.2 by 4  gives 4.8 cm for each side.

Figure A  shows a square and has 4 sides equal and 4 right angles.

If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.

Suppose the length is 2 times more than the width

which will give the dimensions as

2*2 x+ 2x= 6x   ( length and width denoted by x)

Dividing 19.2 by 6  gives 3.2 cm for each width and  6.4 for the lengths.

Figure B shows a rectangle  and has 2 sides equal and 4 right angles.

It depends on which quadrilateral you wish to choose.

Part C:

Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.

c²= a² +b²

c²= 6.4² +4.8²

c²= 40.96+23.04= 64

c= √64 = 8

The third side must be equal to 8 centimeters.

Using the formula

Cos α= base / hypotenuse

Cos α=4.8/8

α= Cos (inverse) 4.8/8

α= Cos (inverse) 0.6

α= 53.13 degrees

So angle α= 53.13 degrees

All the angles in the triangle must be 180 degrees.

α + β +  90°= 180°

And angle β= 180-90-53.13= 36.869= 36.87 degrees

The actual dimensions of this triangle are

height= a= 6.4* 5= 32 inches

base= b= 4.8*5= 24 inches

hypotenuse= 8*5= 40 inches.

Answer:

B??

Step-by-step explanation:

It is a little hard to understand because of hot it looks, BUT 300-225 is 75, 225-150=75, 150-75=75,75-70=75

Answer:

Step-by-step explanation:

Use the slope formula=

y2-y1 / x2-x1

the answer is

(-1,8)

Answer:

the answer is 38

Step-by-step explanation:

c=a2+b2=362+152=39

Given:

[tex](3x+7)^2[/tex] is subtracted from 3.

To find:

The result of the given statement in the standard form of the polynomial.

Solution:

We need to find the result when [tex](3x+7)^2[/tex] is subtracted from 3.

So, the resulted polynomial can be written as:

[tex]P(x)=3-(3x+7)^2[/tex]

On simplification, we get

[tex]P(x)=3-((3x)^2+2(3x)(7)+(7)^2)[/tex]               [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

[tex]P(x)=3-(9x^2+42x+49)[/tex]

[tex]P(x)=3-9x^2-42x-49[/tex]

[tex]P(x)=-9x^2-42x-46[/tex]

Therefore, the resulted polynomial in standard form is [tex]-9x^2-42x-46[/tex].

Answer: 3:5

Step-by-step explanation: heres the answer

Answer:

189

Step-by-step explanation:

To find his average, we will find the mean. This means we will add 220+166+181 to get 567. When finding the mean we divide the answer but the total amount of addends. In our case we have 3 so we divide 567 by 3.

567 divided by 3 = 189

I hope this helps :DDDDDDDDDDD

Answer:

16.03

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 8

....................................................................

Answer:

its C

Step-by-step explanation:

5x+2+4x-3=9x-1

hopefully its helpful

Answer:

You can explore a variety of things in Alaska. There are so many activities you could do such as visiting museums and hiking and tons more. The thing about this is that it is out in the wilderness which makes it more exciting and cooler to see nature more than it does in new zealand. The climate can be pretty chilly in Alaska but it is way much fun to see tons of glaciers. New zealand has eathquakes frequently whilst Alaska doesn't.

Answer:

no

Step-by-step explanation:

it's X= 0.5

group like terms

3x - 5x = 6 - 2 - 5

simplify the equation

-2x = -1

divide through by the coefficient of X

x = 0.5

Answer:

r = 9

Step-by-step explanation:

[tex] In\: \odot O, [/tex] QP is tangent at point P and OP is radius.

[tex] \therefore OP\perp QP[/tex]

[tex] \therefore m\angle OPQ = 90\degree [/tex]

So, [tex] \triangle OPQ[/tex] is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32

Now, by Pythagoras theorem:

[tex] OQ^2 = OP^2 + PQ^2 [/tex]

[tex] \therefore (r + 32)^2 = r^2 + (40)^2 [/tex]

[tex] \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 [/tex]

[tex] \therefore 64r = 1600-1024 [/tex]

[tex] \therefore 64r = 576 [/tex]

[tex] \therefore r = \frac{576}{64}[/tex]

[tex] \therefore r = 9[/tex]

Answer:

The answer is d

Step-by-step explanation:

this is because a , b and c all have multiple x vales with more then one y value .

Answer:

4x<28

x<7

x;(-infinite,7)

Answer:

solution given :

centre (h,k)=(3,-2)

another point (a,b)=(4,-6)

now

radius =[tex] \sqrt{(3-4)²+(-2+6)²} [/tex]=√17

We have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x-4)²+(y+6)²=17 is a required equation.

Answer:

y = -5x + 2

Step-by-step explanation:

y = -5x + b

2 = -5(0) + b

2 = 0 + b

b = 2

y = -5x + 2

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

Answer:

32 ounces........

..

Step-by-step explanation:

Answer:

Step-by-step explanation:

its nba and kyrie

Answer:

nba aND KYRIE

Step-by-step explanation:

Answer:

There are 3 friends (Judy + 2 friends) who won $145.00

They want to share the winnings equally, but they got:

one $100 bill

four $10 bills

five $1 bills.

Assuming that they can share only those bills, the only way to share the winnings equally is:

Each friend gets one $10 bill

Each friend gets one $1 bill

Then each one gets $11.

And there is a surplus of:

one $100 bill (that can't be divided)

one $10 bill (that can't be divided)

two $1 bill (that can't be divided)

Then:

There is a common pool of $100 + $10 + 2*$1  = $112

And each one of the 3 friends gets $10 + $1 = $11

In the case where they can change the bills, each friend will get:

$145/3 = $48.33

Answer: 541.32 miles

Step-by-step explanation:

First find the speed of the train in miles per hour.

1 hour 20 minutes needs to be converted to decimal:

= 1 20/60

= 80/60

= 1.33 hours

Speed is:

= Distance / Time

= 120/ 1.33

= 90.22 miles an hour

If the train is traveling 6 hours at the above speed, it will travel:

= Speed * time

= 90.22 * 6

= 541.32 miles

Answer:

2^4=16

Step-by-step explanation:

2^4 is equal to 2x2x2x2 which is equal to 4x2x2 which is equal to 8x2 which is equal to 16. Therefore, 2^4 is equal to 16.

If this has helped you please mark as brainliest

Answer:

88 centimeters

Step-by-step explanation:

8 times 11 is 88

The length of the path is 88 centimeters.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Ayla uses 11 pieces of track, and each piece is 8 centimeters long, so the total length of the path is:

11 pieces of track x 8 centimeters per piece

= 88 centimeters

Therefore,

The length of the path is 88 centimeters.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

Answer:

66

Step-by-step explanation:

Since these two events are independent, multiply the two probabilities together:

6*11 = 66 (choices)

Answer:

B

Step-by-step explanation:

since a²+b²=c²

this is proven correct in answer B

As;

(8^0.5)² +(3)²=(17^0.5)²