Find the surface area of a triangular prism. 16 cm., 20cm.,12cm.,10cm.

Answer:

Answer:

1) x>3

2) x<5

hope this helped

Hello!

_____

The quotient of two numbers means we divide one number by another number.

Example :-

The quotient of 6 and a number:-

6÷x

According to the example above, the algebraic expression looks like so:-

69÷x

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

66.42 degrees

Step-by-step explanation:

Cos(angle B) = adj / hyp = 2/5

arc cos (2/5) = angle B = 66.4 2 degrees

Answer:

6x-3(2x-5)=9

6x-6x+15=9

15=9

no sollution

The probability of on-time arrival in class given that the subject is biology is, 82.4%.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

The probabilities by subject of on-time assignment submission and on-time arrival in class are given in the table.

Here, the table is,

Subject:      On-time Assignment:     On-time Arrival to Class:

PHYSICS                  89.7%                                     82.3%

MATH                        88.2%                                     88.7%

CHEMISTRY             89.4%                                     83.1%

BIOLOGY                  90.1%                                     82.4%

TOTAL                       88.5%                                     84.7%

Now, from table;

The probability of on-time arrival in class given that the subject is biology is, 82.4%.

Hence, the probability of on-time arrival in class given that the subject is biology is, 82.4%.

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Answer:

1/5

Step-by-step explanation:

jack + 4 friends = 5 people

5 people would each get 1 slice

Answer:

99.9 [tex]cm^{2}[/tex]

Step-by-step explanation:

Given, AB=13 cm, BC=4 cm

AC is the diagonal of parallelogram ABCD.

Also AC=16 cm

We know, △ABC≅△ACD     [S−S−S Congruence]

Also, area of parallelogram ABCD = Area of △ABC + Area of △ACD

                                            = 2 × Area of △ABC

                                            = [tex]2\sqrt{s(s-13)(s-4)(s-15)}[/tex]

         [tex]s= \frac{13+15+4}{2}[/tex]                 = [tex]2\sqrt{16(16-13)(16-4)(16-15)}[/tex]

             = 16                          = 99.9

Answer:

Step-by-step explanation:

In the first equation, -4 x -b should be postive 4b, so +4b, because a negative times a negative equals a postive

Answer: 7

Step-by-step explanation: -4(6 - b) = 4

-24 + 4b = 4

The negative turns into a postive for 4b because two negatives make a postive.

4b (positive) = 28

b = 7

Answer:

y=-3x

Step-by-step explanation:

Answer:

8 3/4

Step-by-step explanation:

because each serving is 04 cups all you need to do is divide 3 1/2 by 0.4.

first convert 3 1/2 into decimal which would be 3.5. then divide 3.5 by 0.4

3.5/0.4

=3.5x10/0.4x10

=35/4

=8 3/4

Answer:

3/8

Step-by-step explanation:

Values we are given :

We know that :

Therefore,

Answer:

  tan(S) = 12/5

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you the tangent ratio is ...

  Tan = Opposite/Adjacent

In the given triangle, the side opposite angle S is RT, which has length 12. The side adjacent to angle S is ST, which has length 5. Then the tangent of angle S is ...

  tan(S) = RT/ST

  tan(S) = 12/5

_____

Additional comment

The rest of the trig functions in this triangle are ...

  sin(S) = 12/13

  cos(S) = 5/13

  tan(R) = 5/12

  sin(R) = 5/13

  cos(R) = 12/13

Answer:

tan(S) = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Hi there!

We are given ΔRST, where ST=5, RT=12, and RS=13

We want to find the tangent of angle S (the notation tan(S) means "tangent of angle S")

In trigonometry, tangent refers to the ratio of the opposite side/adjacent side.

The opposite side is the side that is opposite to the angle that we are referencing (in this case, angle S); in this case, that side is RT, which is 12

The adjacent side is the leg that is adjacent to the opposite side; in this case, that side is ST, which we were given as 5

Therefore, tan(S) will be [tex]\frac{RT}{ST}[/tex], or [tex]\frac{12}{5}[/tex].

Hope this helps!

Answer:

Step-by-step explanation:

Isolate the term of x from one side of the equation.

First, add by 9 from both sides.

x-9+9=-21+9

Solve.

-21+9=-12

X=-12

Switch sides.

x+10=112

Subtract by 10 from both sides.

x+10-10=112-10

Solve.

112-10=102

X=102

Switch sides.

x-30=14

Add by 30 from both sides.

x-30+30=14+30

Solve.

x=44

Switch sides.

x-12=3

Add by 12 from both sides.

x-12+12=3+12

Solve.

Add the numbers from left to right.

3+12=15

x=15

I hope this helps you! Let me know if my answer is wrong or not.

Step-by-step explanation: please see attached to PDF document.

Answer:

a) 6

b) 1/3

c) 2

Step-by-step explanation:

a) 3 ( x + 1 ) - x = 15. expand the bracket

3x + 3 - x = 15

2x + 3 = 15. collect the like terms

2x = 15 - 3.

2x = 12.

x = 12/2 = 6

b) 5 ( x + 2 ) - 2x = 11. expand the bracket

5x + 10 - 2x = 11

3x + 10 = 11. collect the like terms

3x = 11 - 10

3x = 1

x = 1/3

c) 6 ( 1 - 2x ) = - 4 - 7x. expand the bracket

6 - 12x = -4 -7x. collect the like terms

6 + 4 = -7x + 12x

10 = 5x

or

5x =. 10

x = 10/5 = 2

PLEASE MARK ME BRAINLIEST

Answer:

The

C

h

a

t

section

It's difficult to access

It's also really

sen-

sitive

to what you could type.

Answer:

Option C.

Step-by-step explanation:

Perimeter = 2L + 2h

[tex]P=2(5x^{2}y) +2(3y^{3} )=10x^{2} y+6y^{3}[/tex]

Hope this helps

Answer:

486 square inches.

Step-by-step explanation:

126 = w + 6w + w + 6w

126 = 14w

width = 9 inches

A = wl

A = (9)(9*6)

A = 486 square inches

Answer:

Answer: the equation of the line is y=−3.

Step-by-step explanation:

Since the slope equals 0, then the line is horizontal.

This means that the equation of the line doesn't contain x.

Thus, the equation of the line is y=−3.

Answer:

[tex]Probability = \frac{4}{9} [/tex]

Given:

The die was rolled twice having six sides,

To find:

probability of getting a number greater than 2 =?

solution:

The probability of getting a number greater than 2 on single roll =

[tex] \frac{4}{6} = \frac{2}{3} [/tex]

Similarly on second roll the probability would be

[tex] \frac{2}{3} [/tex]

Since two events are occurring together, the total probability of finding number greater than 2 in both rolls =

[tex] \frac{2}{3} \times \frac{2}{3} = \frac{4}{9} [/tex]

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Answer:

Your answer would be 8,770.

Step-by-step explanation:

the numbers list as 0,085-0,785-0,870-7,780-8,750-8,770 so you would be correct saying that 8,770 is the largest number.

Answer:

2 7/24

Step-by-step explanation:

First we have to add the gallons of two cow of each owner:

Hank's cows: 4 3/4 + 4 1/8

Add the whole numbers:

4 + 4 = 8

Now for 3/4 and 1/8

Find common

6/8 + 1/8

= 7/8

Put together :

8 7/8

Debra's cows: 5 1/2 + 5 2/3

Add the whole number

5 + 5 = 10

Now for 1/2 and 2/3

3/6 + 4/6

1 1/6

10 + 1 1/6

= 11 1/6

Since now we know that:

Hank - 8 7/8

Debra - 11 1/6

we can solve the question:

How many more gallons of milk did Debra's two cows produce on that compared to Hank's two cows?

Solution:

11 1/6 - 8 7/8

Subtract whole number

11 - 8 = 3

Now for 1/6 and 7/8

4/24 - 21/24

4-21/24

-17/24

2 7/24

~lenvy~

Answer:

2 7/24

Step-by-step explanation:

Hank Cows:

4 3/4 and 4 1/8

Debra Cows:

5 1/2 and 5 2/3

To find the difference between Hank cows and Debra cows..

we first have to add both cows together:

4 3/4 + 4 1/8 = 8 7/8  {Hank}

5 1/2 + 5 2/3 = 11 1/6  {Debra}

Since now we know Hank and Debra total gallons of milk we can solve and find out the difference.

11 1/6 - 8 7/8 = 2 7/24

Hence, Debra have 2 7/24 more gallons of milk than Hank.

[RevyBreeze]

Answer:

I believe D should be the correct answer

We observe that the

height of the cone is 8 in.

radius of the cone is 2 in.

Volume of a cone = 1/3 π r² h

where R = radius and h = height

Using the formula we get :

Volume = 1/3 π 2 × 2 × 8

= 32 / 3 π cm³

= 33.5 cm³ ( rounded to 10)

Answer:

3.15g

Step-by-step explanation:

2.2 g of the​ substance, to the nearest tenth of a​ gram, will be present after 9 ​yr.

The formula for exponential growth is y = y₀.e^(kt).

The formula for exponential decay is y = y₀.e^(-kt).

Given, 10g of a radioactive substance is present initially and 4 yr later only 5.0g​ remain.

∴ y₄ = y₀.e^(kt).

5 = 10.e^(4k).

e^(4k) = 1/2.

lne^(4k) = ln(1/2).

4k = - 0.69.

k = - 0.69/4.

k = - 0.17.

At this rate after 9 years later the amount of substance left will be,

y₉ = 10.e^(-0.17×9).

y₉ = 10.e^(-1.53).

y₉ = 10/e^(1.53).

y₉ = 10/4.62.

y₉ = 2.16 g.

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The first player using Xs does indeed have a strategy to always win by placing an X in the Middle right box.

When the first player places an X in the middle right spot, the second player will have to place an O in two places to avoid the first player winning.

They would have to place an O in the middle left space and in the bottom right space. Seeing as they can't place an O in two boxes at once, the first player will be able to place an X in the empty box out of the two, and win.

In conclusion, there is a winning strategy.

Find out more on strategy in tic-tac-toe at https://brainly.com/question/15262069.

Step-by-step explanation:

The first player has two possible winning moves.

Regardles the next move the first player has one of the two options next: middle left or bottom right box

Regardles the next move the first player has one of the two options next: middle right or top left box