The perimeter of a scalene triangle is 14. 5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6. 2 cm? A scalene triangle where all sides are of different lengths. The base of the triangle is labeled 2a, is twice that of the shortest side labeled a. The other side is labeled b. Choose the correct answer.

Condense the right side a single sine expression:

sin(6x) - cos(6x) = R sin(6x - t)

Expanding the right side gives

sin(6x) - cos(6x) = R sin(6x) cos(t) - R cos(6x) sin(t)

Then we have

R cos(t) = 1

R sin(t) = 1

Solve for R and t:

(R cos(t))² + (R sin(t))² = 1² + 1²

R² = 2

R = √2

and

(R sin(t))/(R cos(t)) = 1/1

tan(t) = 1

t = arctan(1) = π/4

So we rewrite the equation as

√2 sin(6x - π/4) = √2

Solve for x :

sin(6x - π/4) = 1

6x - π/4 = arcsin(1) + 2nπ

(where n is any integer)

6x - π/4 = π/2 + 2nπ

6x = 3π/4 + 2nπ

x = π/8 + nπ/3

Answer:

Step-by-step explanation:

The smallest angle in the quadrilateral with a ratio of 7:4:5:2 is 40 degrees.

To find the smallest angle in the quadrilateral, we need to determine the ratio of the angles and find the corresponding value for the smallest angle.

Given the ratio of the angles as 7:4:5:2, we can assume that the smallest angle corresponds to the ratio of 2.

To calculate the smallest angle, we can consider the sum of the ratio values as a whole, which is 7 + 4 + 5 + 2 = 18.

Now, we can find the value of the smallest angle:

Smallest angle = (2/18) * 360 degrees

             = (1/9) * 360 degrees

             = 40 degrees.

Therefore, the smallest angle in the quadrilateral is 40 degrees.

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Answer:

71/50

Step-by-step explanation:

[tex]5y-3 = -23\\\\\implies 5y = -23 +3 = -20\\\\\implies y = -4[/tex]

Answer:

3 large buttons

Step-by-step explanation:

Multiply 30 by .10 to get 3 large buttons

Answer:

[tex]10 + (n - 1) 8[/tex]

Step-by-step explanation:

All arithmetic sequence can be written as:

[tex]a_{n} = a_{1} + (n - 1)d[/tex]

Where [tex]a[/tex] is the [tex]n^{th}[/tex] term of the sequence, [tex]a_{1}[/tex] the first term of the sequence and [tex]d[/tex] the common difference between terms.  

So in our sequence we have [tex]a_{1} = 10[/tex] and for find the difference substract two sequence terms.

[tex]d = a_{n+1} - a_{n} = 18 - 10 = 8[/tex]

Now replace the knowns terms in the general form:

[tex]a_{n} = 10 + (n - 1)8[/tex]

The simplified formula for the given arithmetic sequence is:

a(n) = a + 8 (n - 1)

It is a sequence where the difference between each consecutive term is the same.

We have,

The common difference between any two consecutive terms in an arithmetic sequence is constant.

In this case, the common difference is 8, as each term is obtained by adding 8 to the previous term.

Let the first term of the sequence be 'a', then the second term is 'a + 8', the third term is 'a + 16', and so on.

Therefore, the nth term of the sequence can be expressed as:

a + (n-1)d

where d is a common difference, which is 8 in this case.

So, the simplified formula for the given arithmetic sequence is:

a(n) = a + 8 (n - 1)

where a is the first term of the sequence and n is the position of the term in the sequence.

Thus,

The simplified formula for the given arithmetic sequence is:

a(n) = a + 8 (n - 1)

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Step-by-step explanation:

what do you mean "what's the answer for this ?"

you only need to put 3 in place of x (that's what is meant by "x is 3" or x = 3) and then simply calculate.

you know what "squaring" ("something to the power of 2" or x²) means ? it means that you have to multiply that "something" by itself.

y = 3² + 11 = 3×3 + 11 = 9 + 11 = 20

that's all there is to this.

Answer:

520/400

so y = 520/400 + b

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

the sequence is plus 3 minus 2. I forgot the actual formula for these kinds of questions but i vaguely remember

an = d (n - 1) + c

I was never able to remember how to use the formula but the sequence would be

5,8,6,9,7,10,8,11,9,12,10,13,11,14,12,15,13,16,14,17,15,18,16,19

if you'll notice, every other number is just one more than the last number...

so the 20th term is 17

Answer:

5,8,6,9,7,10,8,11,9,12,10,13,11,14,12,15,13,16,14,17...

20th term is 17

Step-by-step explanation:

add 3, subtract 2

Answer:

B) The amount of service fee, in dollars

Step-by-step explanation:

Look for words relating to "one time," as that indicates the constant

Slope = (y₂ - y₁)  ÷  (x₂ - x₁)

          =  (-85 - (-83)) ÷  (-11 - 75)

          =  -2 ÷ -86

          = ¹/₄₃

Checking my answer:

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.

                               ⇒  y - (-83) =  ¹/₄₃ (x - 75)

                               ⇒     y + 83 =  ¹/₄₃ (x - 75)

 I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given.

Answer:

2

Step-by-step explanation:

The zeroes of a function, or the x-intercepts, are just where the line intersects the x-axis. For this function, you can see the line intersects the x-axis at these 3 points:

x = -4

x = 0

x = 5

Those 3 are the zeroes of this function. 2 is not one of them, so that is your answer.

Explanation:

The variable x increases by 1 each time we move down the rows. This increase is constant or the same jump each time.

However, the variable y increases by different amounts. From y = 2 to y = 6, we have +4. Then from y = 6 to y = 12 is +6. This mismatch of increases is sufficient to prove we don't have a linear function. The function is nonlinear.

Visually, we can plot all of the points on the same xy grid. Notice that a straight line does not go through all four points. Rather, a parabola does, and the equation of the parabola is y = x^2+x which is the same as y = x(x+1).

Answer:

5/2, 9/4 and 19/7.

Step-by-step explanation:

Rational numbers can be written as a/b where a and b are integers ( b not = 0).

The Jupiter is 6.93 times farther  from the Sun than Venus

The Saturn is 6.29 times farther from the Sun than Mars

Distance between the sun and Jupiter = 748.02 million km

Distance between the sun and venus = 108.01 million km

Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 748.02/108.01

Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 6.93

Therefore, the Jupiter is 6.93 times farther  from the Sun than Venus

Distance between the Sun and Saturn = 1.4823 billion km = 1482.3 million km

Distance between the Sun and Mars = 235.66 million km

Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 1482.3/235.66

Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 6.29

Therefore, the Saturn is 6.29 times farther from the Sun than Mars

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Answer:

PDR= 127

Step-by-step explanation:

Incase you didn't get the notification on your other post.

Answer:

It's D)

C is incorrect because the constant is + 1, not - 8

A is incorrect because the f doesn't go up by 2 for every x value

B is incorrect because 2/3 * 2 would be 4/3 which is 1 1/3, which is wrong because g goes up by 2 every x.

D is correct because f goes up by 1/3, and the y-intercept is 1 (Where the line meets when the x-axis is 0) and 1/3 * 6x is 6x/3 which is 2x, then add the y-intercept to the equation, which should be 2x + 1

Answer:

4

Step-by-step explanation:

d - 9 = -5

Add 9 to -5, and you will get 4.

4 - 9 = -5

Answer:

d=4

Step-by-step explanation:

d+(-9)=-5

d=-5+9

d= 4

Answer: ten -  80(?)

hundred - 100

whole number - 80

tenth - 79.8

Answer:

2

--

5

Step-by-step explanation:

Start by multiplying 2 and -4/5 as fractions

2 -4 -8

------ x ------ = -------

1 5 5

Then multiply 6 and 1/3 as fractions

6 1 6 2

------ x ------ = ------- = -----

1 3 3 1

Lastly,add the two results after converting 2/1 to 10/5 to use the Greatest Common Factor so you can add.

-8 10 2

------- + ------ = -------

5 5 5

Answer:

3/4 is equivalent to 6/7

Hey there!

Equivalent fractions have the same value. Here are some fractions that are equivalent to 6/7:

[tex]\frac{6}{7} =\frac{12}{14} =\frac{18}{21} =\frac{24}{28} ...[/tex]

Hope it helps. Please let me know if you have any questions.

~An excited gal

[tex]MagicalNature[/tex] here to help

point A will represent the input-output values of the function.

What is number line ?

Number line is virtual representation of numbers along with coordinates axis with number equally spaced with equal number of interval.

In the graph of y = f(x),

For every x-value (input value), value of the function is the y-value (output value).

For the input value x = 2,

Output value of the function will be,

y = f(2)

Therefore, point A will represent the input-output values of the function.

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Answer:

Step-by-step explanation:

Substitute and evaluate:

Answer:

[tex]b = 3 \ \: \: : c = 5 \\ \\ b {}^{2} c - 11 = \\ \\ \\ {3}^{2} \times 5 - 11 = \\ \\ 9 \times 5 - 11 = \\ \\ 45 - 11 = \\ \\ = 34[/tex]

Answer:

Answer Below

Step-by-step explanation:

7: Not congruent; Only one angle and only side is shown for each triangle

8: ASA; Two angles shown with a side put in-between

9: SSS; Should be self-explanatory (only sides are shown)

10: ASA; Angles with side shoved between

11: Not Congruent; Triangles are separated and only one side are shown

12: Not Congruent; Angles said to be congruent are on different angles

Answer:

15.12$

Step-by-step explanation:

Gallons = 12.6

Cost = $1.20

Gasoline Cost = ??

12.6 ×1.20

=15.12

Hence, gasoline will cost 15.12 $

pls mark me as brainliest! :D

Answer:

It depends if business is steady. If they make about 500 a day that is a fair estimate. Make sure that the month you are talking about has 30 days.

Answer:

a = 10, b = 5, c = 14, d = 25

Step-by-step explanation:

Plug in -2 for x ....

y = 2(-2)^2 + -2 + 4

y = 2(4) + 2

y = 10

Plug in -1 for x ....

y = 2(-1)^2 + -1 + 4

y = 2(1) + 3

y = 5

Plug in 2 for x ....

y = 2(2)^2 + 2 + 4

y = 2(4) + 6

y = 8 + 6

y = 14

Plug in 3 for x ....

y = 2(3)^2 + 3 + 4

y = 2(9) + 7

y = 18 + 7

y = 25

Answer:

this question is a very simple. you should start with the biggest triangle then follow the steps to find each side of other triangles. THE ANSWER İS ROOT FORTY ONE

Step-by-step explanation:

these are all right-angled triangles. even the smallest one with the x side.

so, we need to apply Pythagoras to get the missing sides and finally x.

c² = a² + b²

c is the Hypotenuse, the baseline of the triangle opposite of the 90 degree angle. a and b are the legs of the triangle enclosing the 90 degree angle.

so,

52² = 48² + side1²

2704 = 2304 + side1²

400 = side1²

side1 = 20

20² = 12² + side2²

400 = 144 + side2²

256 = side2²

side2 = 16

13² = 5² + (larger part of side2)²

169 = 25 + (larger part of side2)²

144 = (larger part of side2)²

larger part of side2 = 12

that means the smaller part of side 2 = 16-12 = 4.

x² = 5² + 4² = 25 + 16 = 41

x = sqrt(41)

So, D is the right answer option.

I took screen shots of my work here you go!