How many triangles can I make with 3cm, 5cm, 4cm?

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formula

[tex]\\ \tt\hookrightarrow a_n=ar^{n-1}[/tex]

[tex]\\ \tt\hookrightarrow a_n=32(3/2)^{n-1}[/tex]

Answer:

[tex]a_n=32 \cdot \left(\dfrac32 \right)^{n-1}[/tex]

Step-by-step explanation:

The difference between each term in the sequence is not the same, therefore the sequence is a geometric sequence.

Geometric sequence formula:  [tex]a_n=a r^{n-1}[/tex]

where [tex]a[/tex] is the start term and [tex]r[/tex] is the common ratio

Given [tex]a = 32[/tex]

To calculate [tex]r[/tex], divide one term by its previous term:

[tex]\implies r=\dfrac{a_4}{a_3}=\dfrac{108}{72}=\dfrac32[/tex]

Therefore, [tex]a_n=32 \cdot \left(\dfrac32 \right)^{n-1}[/tex]

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]log_2(6x-8)-log_2(8)=1\\\\log_2(\frac{6x-8}{8})=1\\ \\\frac{6x-8}{8}=2\\ \\6x-8=16\\\\6x=24\\\\x=4[/tex]

It is a linear pair of angles hence supplementary

[tex]\\ \tt\hookrightarrow 123+3x=180[/tex]

[tex]\\ \tt\hookrightarrow 3x=180-123[/tex]

[tex]\\ \tt\hookrightarrow 3x=57[/tex]

[tex]\\ \tt\hookrightarrow x=19[/tex]

Explanation:

The angles shown is supplementary because the sum of 123 and 3x is 180.

Thus, the equation formed:

Subtract 123 both sides:

Divide 3 both sides:

The value of x is 19.

Answer:

5) 13%  7) 3/28

Step-by-step explanation:

5)

total number of marbles: 2 + 3 + 5 + 1 + 2 + 2 = 15 marbles.

probability its blue: [tex]\frac{2}{15}[/tex] __in fraction

in percentage: [tex]\frac{2}{15}[/tex] * 100 = 13%

7)

total number of marbles: 4 + 5 + 2 + 9 + 1 = 21

probability of selecting a red marble: 5/21

then 1 marbles is reduced as not replaced.

total marbles: 21 - 1 = 20

probability of getting orange marble: 9/20

total probability:  9/20 * 5/21 = 3/28

[tex]\displaystyle\\x^\frac{3}{2} =>\\\sqrt{x^3} ;x\sqrt{x} ;x\times x^\frac{1}{2}[/tex]

think it's right. i don't now(or remember) any other ways

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{1}}}\implies \cfrac{-5}{5}\implies -1[/tex]

Answer:4/45÷4/5.

Solving-0.1,3-2
Answer-1/9

Step-by-step explanation:

Check the picture below.

how long will it take for it to hit the ground, or namely, what is "t" when h(t)  is 0.

[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&100\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&0\\ \qquad \textit{of the object}\\ h=\textit{object's height}&h\\ \qquad \textit{at "t" seconds} \end{cases}[/tex]

[tex]h(t)=-16t^2+100t+0\implies h(t)=-16t^2+100t\implies \stackrel{h(t)}{0}=-16t^2+100t \\\\\\ 16t^2-100t=0\implies 4t(4t-25)=0\implies \begin{cases} 4t=0\\ t=0\\[-0.5em] \hrulefill\\ 4t-25=0\\ 4t=25\\ t=\cfrac{25}{4}\\[1em] t=6\frac{1}{4} \end{cases}[/tex]

so h(t) is 0, as you saw on the picture, at two instances, once it was on the ground, 0 seconds, or t=0, and then t = 6.25, or 6 seconds and some change later.

The age at which the maximum heart rate would be 135 beats per minute is 51 years.

In order to determine the age, take the following steps given this equation - M = 176 - 0.8A:

Substitute for M

135 = 176 - 0.8A

Combine similar terms

176 - 135 = 0.8A

Subtract 135 from 176

41 = 0.8A

Divide both sides by 0.8

A = 51 years

To learn more about division, please check: https://brainly.com/question/194007

Answer:

if i knew the answer i would say it but i need it to

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

45/3=15

15 days on track

30 days not on track

Answer:

79% - almost 4 times out of 5.

The key to this is realizing that the number of games will not always be 5.

If A wins in a sweep - you have 2/3*(2/3)*2/3 percent chance of that happening - 8/27, or 29.63%

If A wins in 4, now we have 2/3*(2/3)*2/3*(1/3)*3 - the 1/3 is the chance that B wins a game. Note - there are only 3 ways B can win a game, not 4. B cannot win Game 4 because Game 4 would not be played in case of a sweep. That is why you cannot use a straight Pascal’s triangle to get your coefficients - the 1–4–6–4–1 is not possible if B cannot win Game 4. Anyway, the math is the same as the above, a 29.63% chance of A winning in 4.

For a 5 game set, A could lose 2 games in 6 possible ways (lose 1&2, 1&3, 1&4, 2&3, 2&4 or 3&4). Again, A cannot lose Game 5 - it would not be played once A wins 3 games. So the odds become 2/3*(2/3)*2/3*(1/3)*(1/3)*6, or 19.75%.

Add them up and you get 79.01%

Step-by-step explanation:

Hope it helps<3

Answer:

x^2 -10x+25

Step-by-step explanation:

(x − 5)^2

(x-5)(x-5)

FOIL

first  x*x = x^2

Outer  -5 *x = -5x

inner  -5*x = -5x

last -5*-5 =25

Add them together   x^2 -5x-5x+25

Combine like terms  x^2 -10x+25

Hey there!

(x - 5)^2

= (x - 5)(x - 5)

= x(x) + x(-5) - 5(x) - 5(-5)

= x(x) - 5(x) - 5(x) - 5(-5)

= x^2 - 5x - 5x + 25

COMBINE the LIKE TERMS

= x^2 - 10x + 25

Therefore, your answer is:

x^2 - 10x + 25

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

(2,2)

Step-by-step explanation:

x + 6y = 14

-3x + 5y = 4

x + 6y = 14

subtract 6y from both sides

x = 14 - 6y

-3(14 - 6y) + 5y = 4

-42 + 18y + 5y = 4

add 42 to both sides and simplify

23y = 46

y = 2

x = 14 - 6y

x = 14 - 6(2)

x = 14 - 12

x = 2

Using the concept of the angle the conditions are solved. For any whole number n, 360+58n is coterminal with 418°. option C is correct.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Given

The measures of all angles are coterminal with a 418° angle.

a.  360+58n, for any whole number n.

For any whole number n, 360+58n is not coterminal with 418° except one.

b.  58+360n, for any integer n.

For any integer number n, 360+58n is coterminal with 418° except zero.

c.  58+360n, for any whole number n.

For any whole number n, 360+58n is coterminal with 418°.

d.  360 58n, for any integer n.

For any integer number n, 360+58n is not coterminal with 418° except one.

Thus, for any whole number n, 360+58n is coterminal with 418°. option C is correct.

More about the angle link is given below.

https://brainly.com/question/15767203

Step-by-step explanation:

that's the answer bbbbbbbb

The measure of the other angle in the linear pair is: 118°.

A linear pair is formed by two angles, whose sum equals 180 degrees.

Given that one of the angles of a linear pair is 62 degrees, the measure of the other angle will be its supplement.

Thus:

The other angle = 180 - 62 = 118°

Therefore, the measure of the other angle in the linear pair is: 118°.

Learn more about linear pair on:

https://brainly.com/question/13218054

Considering that 30 out of 120 clients are willing to pay at least $95, we use the it's concept and find that there is a 0.25 = 25% probability that a customer is willing to pay at least $95.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we suppose that 30 out of 120 clients are willing to pay at least $95, hence:

[tex]p = \frac{30}{120} = 0.25[/tex]

There is a 0.25 = 25% probability that a customer is willing to pay at least $95.

More can be learned about the probability concept at https://brainly.com/question/15536019

Answer:

1 17/22

Step-by-step explanation:

Answer:

You're correct

Step-by-step explanation:

Solve using FOIL

(x-3)(x+10)

x²+10x-3x-30

x²+7x-30

That's the same as the equation in the beginning, so you are right.

Answer:

[tex]C=1342[/tex]

Step-by-step explanation:

Calculate circumference of the circle:

[tex]C=1342[/tex]

Answer:

I couldn't figure out how to type it so I typed it somewhere else lol. Hope it helps:)

Step-by-step explanation:

Answer:

Two points, (0,2) & (1,10)

Step-by-step explanation:

We already know the first point (0,2) just by looking at the +2 in the problem

Now we use the system rise/run to solve the problem

Go up vertically 8 to get to 10 (this is the rise part)

Next, go over 1 to get your x-axis point (this is the run part)

So our next point is (1,10)

Hope this helps and please award brainliest if possible :)

Answer:

Step-by-step explanation:

Using the equation given:

8 is the gradient and 2 is the y-intercept

We can draw a point at (0,2) y-intercept

And we can substitute x with 1 to give us (1,10)

Use the diagram below for further details

Answer:

A and D

Step-by-step explanation:

I really hope this helps, because this took me forever to figure out.

The steps which could be used to solve x  are add negative 3. 6 to both sides and subtract 3. 6 from both sides.

Property of equality says that by performing any mathematical operation, of both sides of a expression does not change the original value of the equation.

The expression given in the problem is,

[tex]x +3.6 = -1.7[/tex]

To isolate the terms x, add Negative 3. 6 to both sides as,

[tex]x +3.6+(-3.6) = -1.7+(-3.6)\\x=-1.7-3.6\\x=5.3[/tex]

Thus, by adding negative 3. 6 to both sides, the problem can be solved.

Instead of adding negative 3.6, subtract 3.6 from both sides in the given equation can also be work and give same result as,

[tex]x +3.6-3.6 = -1.7-3.6\\x=5.3[/tex]

Thus, a step which could be used to solve x add negative 3. 6 to both sides and subtract 3. 6 from both sides.

Learn more about the property of equality ehre;

https://brainly.com/question/1601404

Answer:

It might be $5000 x .025 x 1 = $125

Step-by-step explanation:

Sorry if its wrong