Larry rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total less than 8.

Answer:

9. 149 degrees

10. 2 units

Step-by-step explanation:

9. These two triangles are congruent, which means their corresponding side lengths and angles are are equal.

Here, the angle on the bottom triangle marked x actually corresponds to the angle in the top triangle that is unlabelled. That means if we find the unlabelled angle in the top triangle, we've found x.

All angles of a triangle add up to 180, so we can write: x + 17 + 14 = 180

Solve for x: x = 180 - 17 - 14 = 149 degrees

10. Similar triangles have their corresponding angles the same and their corresponding sides in the same ratio, not the same length this time.

Notice that RP is the long leg of triangle PQR and that AC is the long leg of triangle ABC, which means that they correspond to each other and we can write the ratio: RP / AC = 16 / x.

Notice that QP is the short leg of triangle PQR and that AB is the short leg of triangle ABC, which means that they correspond to each other and we can write the ratio: QP / AB = 8 / 1.

Now we can set these two ratios equal and solve for x:

16/x = 8/1

8x = 16

x = 2 units

Answer:

9. 149°

10. 2

Step-by-step explanation:

Congruent figures have the same angles and lengths

x = 180 - 17 - 14

x = 149°

Similar figures have sides in the same ratio

1/8 = x/16

x = 16/8

x = 2

Answer:D

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

-2.7

Step-by-step explanation:

i did it.

Answer:

(-2,1)

Step-by-step explanation:

add 3 to x,(-5 + 3 = -2) and subtract 2 from y,(3 - 2 = 1)

Answer:

55.23

Step-by-step explanation:

Answer:

2.5e^-0.04x = 1.2 + 0.2x

Step-by-step explanation:

Answer:

the radius is 24

Step-by-step explanation:

Answer:

[tex]2\pi \: r = 48 \\ \frac{2\pi \: r}{2} = \frac{48}{2} \\ \pi \: r = 24 \\ r \: \: = \frac{24}{\pi} \\ r = 7.639in[/tex]

Answer:

x=-2/7,y=8/7

Step-by-step explanation:

Simultaneous equation

y=3x+2....(1)

2x-3y=8...(2)

Substitute (1) into (2)

2x-3(3x+2)=8

2x-9x-6=8

Collect like terms

-7x=8-6

-7x=2

Divide both sides by-7

X=-2/7

Substitute the value for x into (1)

y=3(-2/7)+2

y=-6/7+2

Lcm be 7

y=-6+14/7

y=8/7

Therefore x=-2/7,y=8/7

Answer:

m=-5

Step-by-step explanation:

Given: -12m-8m+5=-25m-20

Combine like terms on left side: -20m+5=-25m-20

Add 25m to both sides: 5m+5=-20

Subtract 5 on both sides: 5m=-25

Divide both sides by 5: m=-5

So m=-5

Answer:

m = -5

Step-by-step explanation:

-12m-8m+5=-25m-20

Combine like terms

-20m +5 = -25m -20

Add 25m to each side

-20m+25m+5=-25m+25m-20

5m +5 = -20

Subtract 5 from each side

5m+5-5=-20-5

5m = -25

5m/5 = -25/5

m = -5

Answer:341/135

Step-by-step explanation:

Answer:

-1.107

Step-by-step explanation:

Perimeter of figure =  π*r  *  sum of all three sides

Step-by-step explanation:

Perimeter of a figure with semicircle and triangle .-

Perimeter of semicircle is = π*r

Perimeter of triangle = sum of all three sides

Perimeter of figure =  π*r  *  sum of all three sides

we can't round up here as no value is given in question .

Answer:

The can's volume is 35.34 inches

the cone's volume is 11.78 inches

hope it helps you!!

The question asks for the volume of a cylinder and a cone, both with a height of 5 inches and a diameter of 3 inches. The volume of the cylinder is calculated as approximately 35.34 inches³, and the volume of the cone is about 11.78 inches³.

The question involves finding the volume of two different 3-dimensional shapes: a cylinder (soda can) and a cone (ice cream cone). To calculate the volume of the cylinder, we use the formula V = π r² h, where r is the radius of the circular base, and h is the height of the cylinder.

Since the diameter of the soda can is given as 3 inches, the radius (which is half of the diameter) would be 1.5 inches. For the cone, the formula for volume is V = {1}/{3} π r² h, using the same measurements for r and h as the soda can. The calculations then proceed as follows:

Cylinder: V = π (1.5)² × 5 = π × 2.25 ×  5

Cone: V = {1}/{3} π (1.5)² × 5 = {1}/{3} π × 2.25 ×  5

The volume of the cylinder would be approximately 35.34 inches³ and the volume of the cone would be about 11.78 inches³, assuming π is approximately 3.14159.

Answer:

undefined

Step-by-step explanation:

Sin(x) = 0 where x = 0

Cos(x) = 1 where x = 0

Cot(0) is undefined

Undefined.

Given -

[tex]sin(x)=0\\cos(x)=1[/tex]

So [tex]cot(x)=-[/tex].

Therefore, [tex]cot(x)[/tex] is undefined.

Know more about trigonometry here:

https://brainly.com/question/24349828

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Answer:

116 degrees

Step-by-step explanation:

Supplementary Angles=180 degrees

64+x=180

180-64=116

116=116

Answer:

the variable is j, in equality symbol is < , constant is -0.65,

Step-by-step explanation:

:D Took asignment got it right

Answer:

A table titled inequality symbols contains the symbols for less-than and greater-than.

Use the inequality to help you complete the statements.

j < –0.65

The variable in the inequality is

✔ j

.

The inequality symbol is

✔ <

.

The constant in the inequality is

✔ -0.65

.

Step-by-step explanation:

Answer:

the height is 16 and the volume is 476.24 i think

Step-by-step explanation:

Answer:

19/27

Step-by-step explanation:

Each time that you roll a dice, there is a 1/3 chance you get a 5/6(assuming you have a fair dice). The probability of rolling that atleast once is the inverse of the probability of rolling a 1-4 each time. There is a [tex]\frac{2}{3}[/tex] chance each time you roll the dice. Thus raising this to the third power results in [tex]\frac{8}{27}[/tex]. Since we are looking for the inverse probability, we can do:

[tex]1-\frac{8}{27}[/tex] In order to get our final answer.

Answer:

1) The height of the prism is 8 units.

2) The area of its base is 27 square cm.

Step-by-step explanation:

The formula of a rectangular prism is

[tex]\text{Volume}=\text{Area of base}\times \text{Height}[/tex]

1) Given : The area of the base of a rectangular prism is 225 units square If the volume is 1800 cubic  units.

To find : What is the height of the prism?

Solution :

Volume = 1800 cubic  units

Area of base = 225 units square

Substitute the value,

[tex]1800=225\times \text{Height}[/tex]

[tex]\text{Height}=\frac{1800}{225}[/tex]

[tex]\text{Height}=8[/tex]

The height of the prism is 8 units.

2) Given : The volume of a rectangular prism is 216 cubic cm. If the height of the prism is 8 cm.

To find : What is the area of its base?

Solution :

Volume = 216 cubic  cm

Height = 8 cm

Substitute the value,

[tex]216=\text{Area of base}\times 8[/tex]

[tex]\text{Area of base}=\frac{216}{8}[/tex]

[tex]\text{Area of base}=27[/tex]

The area of its base is 27 square cm.

Answer:

10

Step-by-step explanation:

Answer:

48 in

Step-by-step explanation:

I multiplied 16 by 3 since 6 is representing the whole 1 side of the rectangle but your trying to find half of the rectangle and that side so 6 in the equation becomes 3

Answer:

48 inches

Step-by-step explanation:

multiply 16 by 3 so 6 becomes 3

Answer:

$1.50

Step-by-step explanation:$3.00/2 is $1.50 hope this helps god bless

Answer:

The unit price is 1.50, you just needed to divide by two to see how much one note book costs.

Hope this helps <3

Answer:

He ran 2.62 km

Answer: (A)

Step-by-step explanation: A shows all of the right ones. It only shows the letter b because the one is “invisible.”

Answer:

x = -3

y = -11

Step-by-step explanation:

to solve this linear equation using substitution method

let us say  that

y=7x + 10.........................................................equation 1

y= -4x – 23...................................................... equation2

substitute equation  1 into equation 2

7x + 10 = -4x - 23

collect the like terms

7x + 4x = -23 -10

11x =  -33

divide both sides by the coefficient of x which is 11

11x/11 = -33/11

x = -3

put the value of x = -3 into equation 2

y= -4x – 23...................................................... equation2

y = -4(-3) - 23

y = 12 - 23

y = -11

therefore the value of x and y is -3 and -11 respectively

Solution is x=-3 , y=-11.

We set the ys equal.

[tex]7x+10=-4x-23\\7x+4x=-23-10\\11x=-33\\x=-3[/tex]

For x=-3,

[tex]y=7x+10\\y=7(-3)+10\\y=-21+10\\y=-11[/tex]

Solution is x=-3 , y=-11.

Learn more: https://brainly.com/question/8806877

Answer:

No solutions

Step-by-step explanation:

If we try to solve this system for y at x = 1, we get an impossible situation:

[tex]y=-7(1)+8=-7+8=1\\y=-7(1)-8=-7-8=-15\\1=-15[/tex]

Clearly, 1 ≠ -15, and we'll see that any value of x that we pick gives us two contradictory values for y, so this system has no solutions.

Answer: A coefficient is simply a variable that has a number with it. For example 2y has a coefficient. The coefficient is 2 because you will multiply 2 by y.

A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression