Find the area of the right triangle

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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Answer:

Answer:

1) x>3

2) x<5

hope this helped

Answer:

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Answer:

3/8

Step-by-step explanation:

Values we are given :

We know that :

Therefore,

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:

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

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:

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:

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:

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:

y=-3x

Step-by-step explanation:

Answer:

[tex] \: [/tex]

Step-by-step explanation:

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]

Here,

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (13.2) {}^{2} + (a {)}^{2} = (16.5) {}^{2} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad 174.24 + (a {)}^{2} = 272.25 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (a {)}^{2} = 272.25 -174.24}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (a {)}^{2} = 98.01}}} \\ \\ \\ {\longrightarrow \pmb{\sf {\qquad a = \sqrt{98.01}}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad a = 9.9}}} \\ \\[/tex]

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:

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

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

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

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:

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:

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.

Answer:

I believe D should be the correct answer

Answer:

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

6x-6x+15=9

15=9

no sollution

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:

1/5

Step-by-step explanation:

jack + 4 friends = 5 people

5 people would each get 1 slice

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.