a = 65 – 100n
Find a
39

60.2 is the value of x in Trigonometric ratios

What are the trigonometric ratios?

Trigonometric ratios are used to describe the side ratios of a right triangle. The sine (sin), the cosine (cos), and the tangent are three popular trigonometric ratios (tan).

                      Greek is the language of measuring, "metric," and "trigon" is the language of triangles. It is possible to measure a right triangle specifically using its trigonometric ratios.

43 degree as reference angle

using tan rule

tan 43 = opposite / adjacent

0.93 = x / 56

x = 56/0.93

x = 60.21

x = 60.2

Learn more about trigonometric ratios

brainly.com/question/25122825

#SPJ1

Answer:

The length of the third side is approximately ≈ 14.79 inches

Step-by-step explanation:

A piece of wire is bent into the shape of a triangle. Two sides have lengths of 16 inches and 23 inches. The angle between these two sides is 40°. What is the length of the third side to the nearest hundredth of an inch?

Use the law of cosines to find the length of the missing side.

Let C be the third side.

A = 18

B = 23

Angle C = 40^∘

c^2  =  a^2  +  b^2 - 2ab  cos C

c =  √a^2 + b^2 - 2ab cos C

c =  √18^2 + 23 ^2 - 2 (18) (23) cos 40^∘

c = √583 - 828 cos40^∘

≈ 14.79

Thus, The length of the third side is approximately  14.79 inches.

Hope this helps!

Answer:

x=-6

Step-by-step explanation:

subtract 7 from both sides then divide both sides by -4

Answer:

i think its

x^2 + (y + 2)^2 = 21.

Step-by-step explanation:

Answer:

8374

Step-by-step explanation:

I think this because the biggest numbers should be towards the left of the equation.

Answer:

8,374

Eight thousand three hundred seventy-four

Step-by-step explanation:

Going in descending order (save for the 3 in the hundreds place), the largest number possible is 8,374. The next closest is 8,347, but that is 26 less than 8,374.

Answer:

The best buy is the 16-ounce drink

Step-by-step explanation:

here, we see that,

12 ounce = 3/4 (16 ounce)

So, the price should reflect that,

i.e,

price of 12 ounce drink = 3/4 (price of 16 ounce drink)

By this metric,

Price of 12 ounce drink = 3/4 ( 1.19)

Price of 12 ounce drink = $0.8925

So, 12-ounce drink should cost $0.8925 but the actual drink costs $0.99,

So, it is more expensive than it should be,

So, the best buy is the 16-ounce drink

Answer:

I would say D. There is no logical explanation for the final answer but there is for everything else.

For A: Makes sense because 3x-2 are in parenthesis outside a number so you can multiply.

For B: Makes sense because you are allowed to add/subtract like terms but in this case only subtracting would make sense, (which is what they did) since you want to get all the like terms on one side.

For C: Makes sense because you are trying to simplify the equation, and they are both like terms (they are both numbers that have no letter attached to them) and they are on the opposite side making them able to be simplified.

For D: No idea what the point is.

Step-by-step explanation:

due to AB being parallel to XZ, we know that ABY and XZY are similar triangles.

therefore, they have the same angles, and there is one common scale factor for all side lengths from one triangle to the other.

so,

AY / XY = AB / XZ

XY = AY + AX = 7 + 6 = 13

7/13 = 14/XZ

XZ×7/13 = 14

XZ×7 = 14×13

XZ = 14×13/7 = 2×13 = 26

Answer:

12 ways

Step-by-step explanation:

Answer:

total profit = $2,023,338,517  (nearest whole number)

Step-by-step explanation:

Use geometric sum formula:

\(S_n=\dfrac{a(1-r^n)}{1-r}\)

where \(a\) is the initial value and \(r\) is the common ratio

We have been told that the initial value is 171000, so \(a=171000\).

If the company's profit increases by 33% per year, this means each year's profit is 133% of the previous year's profit. 133% = 133/100 = 1.33

Therefore, \(r = 1.33\)

We need to calculate the total profit earned over 29 years, so \(n = 29\)

Inputting these values into the formula:

\(\implies S_{29}=\dfrac{171000(1-1.33^{29})}{1-1.33}=\$2,023,338,517 \ \textsf{(nearest whole number)}\)

Answer:

B) y = -3/7x + 41/7

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

yes

no

yes

no

hope this helps

Answer:

1. Yes

2. No

3.Yes

4.No

Step-by-step explanation:

I did the test and got it right!

The number of points scored by Tyger will be 132 points.

From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.

Therefore, the number of points scored by Tyger will be:

= Points scored by Captain + (Percentage × Captain point)

= 120 + (10% × 120)

= 120 + 12

= 132

Tyger scored 132 points.

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

The number of points scored by Tyger will be 132 points.

From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.

Therefore, the number of points scored by Tyger will be:

= Points scored by Captain + (Percentage × Captain point)

= 120 + (10% × 120)

= 120 + 12

= 132

Tyger scored 132 points.

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

\( \huge \: \tt \green{Answer} \)

Olivia and kieran share ratio 2 : 5

\( \texttt{olivia's share \: of \: money = £42 }= \frac{2}{7} \\ \)

Total Amount of Money = Olivia's share of money × Reciprocal of olivia's share

\( \tt \: = > 42 \times \frac{7}{2} \\ \\ = > 147\)

Kieran's share of Money =

\( = > 147 \times \frac{5}{7} \\ \\ = > \sf{ \pink{£105}}\)

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

Read more about functions at

brainly.com/question/2456547

#SPJ1

The angle of depression between the cliff and the boat is 55.0

What is angle of depression?

The angle of depression is the angle between the horizontal line and the  observation of the object of  from the horizontal line. It's basically used to get the of  distance of the two objects where the angles and an of  object's distance from the  ground are known to us.

A boat is moving 175 feet from the base and a women is in the boat.the height of the cliff is 259 feet tall. Here we have to find the angle between the cliff and the boat.

As per the given question

We have a right angled traingle where base is 175 ft and height is 250 ft.

Thus,

We know that tan theta =opposite/adjacent

250/175

So theta=tan^-1(250/175)

So theta = 55.0

To know more about angle of depression click-

https://brainly.com/question/27865363

#SPJ13

The slope of the graph is equal to 1 for all x between x= 0 and x=3.

Starting at x=3 the function value y increases as x increases.

The slope of the graph is equal to 3 for x between x=3 and x=5

For x between x=0 and x=4, the function value of y is ≤ 0.

For x between x=4 and x=8 the function of value y is ≥ 0.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Slope (m) = (0 - 3)/(3 - 0)

Slope (m) = -3/3

Slope (m) = -1.

For x between x=3 and x=5, the slope is given by;

Slope (m) = (3 + 3)/(5 - 3)

Slope (m) = 6/2

Slope (m) = 3.

By critically observing the graph of this function, we can logically deduce that the function value of y is less than or equal to 0 for x between x=0 and x=4 and greater than or equal to 0 for x between x=4 and x=8.

Read more on slope here: brainly.com/question/3493733

#SPJ1

Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !

The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.

Given two triangles.

Also given that, the scale drawings given are the reduction of the figure.

Most probably, the second triangle must be formed after a reduction with a scale factor of k.

Let k be the required scale factor.

The value of k can be found by taking the ratio of the corresponding sides.

k = 5.2 / 10.4

  = 0.5

So all the corresponding sides will be half of the first triangle.

x = 0.5 × 12.6

  = 6.3 feet

Hence the value of x is 6.3 feet.

Learn more about Scale Factors here :

https://brainly.com/question/29464385

#SPJ1

Answer:

x=3

Step-by-step explanation:

The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

Read more about Trigonometric Identities at; https://brainly.com/question/7331447

#SPJ1

Answer:

16.755160819146 in3

Step-by-step explanation:

I did not know how much I have to round up to.. sorry about that

Answer: 50 inches

Step-by-step explanation: Using the formula for volume of a cylinder, you would substitute the height and radius in the formula and solve for volume. After multiplying with pie you get 50.2654 and when rounding to inches you’d get 50 cubic inches.

srry if this is incorrect

The conclusion about angles B and C is that the angles are equal angles

How to determine the true statement?

The given parameters are:

Angle A and Angle B are supplements

Angle A and Angle C are supplements

Supplementary angles add up to 180 degrees.

This means that

A + B = 180

A + C = 180

Subtract the two equations

So, we have

A - A + B - C = 180- 180

Evaluate the like terms

So, we have

B - C = 0

Add C to both sides

B = C

Hence, both angles are congruent angles

Read more about angles at

brainly.com/question/7620723

#SPJ4

Answer: 1/6

Step-by-step explanation:

The graph of the quadratic inequality -x² + 8x - 12 > 0 is attached below

A quadratic inequality of the form y > ax² + bx + c (or substitute <,≥ or ≤ for >) represents a region of the plane bounded by a parabola .

To graph a quadratic inequality, start by graphing the parabola. Then fill in the region either above or below it, depending on the inequality.

If the inequality symbol is ≤ or ≥ , then the region includes the parabola, so it should be graphed with a solid line.

Otherwise, if the inequality symbol is < or > , the parabola should be drawn with a dotted line to indicate that the region does not include its boundary.

In the question given, we have a quadratic inequality

-x² + 8x - 12 > 0

Using a graphing calculator to solve this;

Kindly find attached graph below

Learn more on graph of quadratic inequality here;

https://brainly.com/question/11220809

#SPJ1

Answer: b.

look at my picture.

Step-by-step explanation:

The required slope-intercept equation of the line is y = 7x  + 3.

Given that,
Slope of the line = m = 7,
The Y-intercept of the line = (0, 3)
To find the slope-intercept equation of the line

A line can be defined by the shortest distance between two points is called a line.

Here,
The slope-intercept form of the line is given as,
y = mx + c - - - - - (1)
Now put m and coordinate of y-intercept in the above equation in order to get c
3 = 7 * 0 + c
c = 3
Now put this c and m in equation 1
y = 7x + 3

Thus, the required slope-intercept equation of the line is y = 7x  + 3.

Learn more about lines here:

brainly.com/question/2696693

#SPJ1