cos theta=8/17. Find tan theta

A. 15/8
B. 15/17
C. 17/15
D. 8/15​

Cos Theta=8/17. Find Tan ThetaA. 15/8B. 15/17C. 17/15D. 8/15

Answers

Answer 1

Answer:

A) [tex]\frac{15}{8}[/tex]

Step-by-step explanation:

remember Soh Cah Toa!!

[tex]sin=\frac{opposite}{hypotenuse}\\ cos=\frac{adjacent}{hypotenuse} \\tan=\frac{opposite}{adjacent} \\\\cos=\frac{8}{17}\\\\a^2+b^2=c^2\\8^2+b^2=17^2\\64+b^2=289\\b^2=225\\\sqrt{b^2} =\sqrt{225}\\b=15=opposite\\\\tan=\frac{15}{8}[/tex]


Related Questions

I don’t understand this, can somebody help?

Answers

29)[tex]quarters = 13 \\ dimes = 25 \\ nickles = 18 \\ pennies = 30 \\ total \: coins = 86[/tex]

[tex]not \: penny \: or \: dime = quarter \: or \: nickle[/tex]

[tex]p(x) = \frac{13 + 18}{86} = \frac{31}{86} = 0.36[/tex]

30)

[tex]gallons \: for \: car \: 1 = \frac{450}{18} = 25 \: gal[/tex]

[tex]gallons \: for \: car \: 2 = \frac{450}{25} = 18 \: gal[/tex]

[tex]we \: need \: 25 + 18 = 43 \: gallons[/tex]

[tex]43 \times 2.49 = 107.07 \: dollars[/tex]

The difference of two numbers is 8, and the sum of the squares of these two numbers are 320. what are the numbers​

Answers

Answer:

There are two sets of numbers that meet the criteria:

1)  8 and 16, or

2) -8 and -16

Step-by-step explanation:

Let's call the two numbers A and B.

We are told:

1) A-B=8, and

2) A^2 + B^2 = 320

Rearrange 1) to solve for A:

A=8+B

Use this value of A in the second equation:

A^2 + B^2 = 320

(8+B)^2 + B^2 = 320

(64+ 16B + B^2) + B^2 = 320

2B^2 + 16B + 64 = 320

B^2 + 8B + 32 = 160

B^2 + 8B + 32 = 160

B^2 + 8B - 128 = 0

(B+16)(B-8)=0

B is either -16 or +8

Assuming B = 8

Then from A-B=8 we find that A = B+8 and A = 16

Does A^2 + B^2 = 320?

  (16)^2 + (8)^2 = 320?

  256 + 64 = 320?  YES

--------------------------------

Assuming B=-16

If B=-16, then from A-B=8 we find that A = 8+(-16) and A = -8

Does A-B=8?

 -8 - (-16) = 8?  YES

Does A^2 + B^2 = 320?

 (-8)^2 + (-16)^2 = 320?

 64  + 256 = 320?  YES

Triangle G H J is rotated 90 degrees about point X to form triangle S T R.

Triangle GHJ is rotated 90° about point X, resulting in triangle STR. Which congruency statement is true?
TR ≅ GJ
∠S ≅ ∠H
TS ≅ HG
∠R ≅ ∠G

Answers

The congruency statement is true TS ≅ HG. so option C is correct.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given information;

Triangle G H J is rotated 90 degrees about point X to form triangle S T R.

Triangle GHJ is rotated 90° about point X, resulting in triangle STR.

Now, if any triangle is rotated 90 degrees about a point the two sides will be ≅ to each other.

So, ST = GH

RT= HJ

SR= GJ

<S= <G

<T = <H

<R=<J

The side TS ≅ HG.

Hence, option (c) is correct.

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Answer:

C

Step-by-step explanation:

Trust me bro


? Question
Kim sells fruit at the farmers market. Her week starts out slow, but she gets much busier later in the week. The sequence that
represents the total kilograms of a fruit she sold the first 4 days of a week is 5, 15, 45, and 135.
Of(n) = 5(3)-1
Of(n) = 3(5)-1
□ f(n) =
(3)"
Of(n) =
(3)"
f(n) = (5)"
E Save &
Identify the explicit and exponential forms of the function, f (n), representing the number of kilograms of fruit sold on the
nth day.
Select all the correct answers.
Submit

Answers

Using a geometric sequence, the formula for the number of kilograms of fruit sold on the nth day is:

[tex]f(n) = 5(3)^{n - 1}[/tex]

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

For this problem, the first term and common ratio are given as follows:

[tex]a_1 = 5, q = 3[/tex]

Hence the function can be written as:

[tex]f(n) = 5(3)^{n - 1}[/tex]

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Solve for n.

11(n – 1) + 35 = 3n

n = –6
n = –3
n = 3
n = 6

Answers

Solve for n
Simply both sides 11(n-1)+35=3n
Distribute (11)(n) + (11)(-1) + 35 = 3n
11n+-11+35=3n
Combine like terms (11n)+(-11+35)=3n
11n + 24 =3n
Subtract 3n from both sides
11n+24-3n=3n-3n
8n + 24 = 0
Subtract 24 from both sides
8n+24-24=0-24
8n = -24
Divide both sides by 8
8n = -24
8 8
n = -3


What word describes the slope of the line passing through points (5, 12) and
(5,-13)?

Answers

Answer: undefined

Step-by-step explanation:

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{-13-12}{5-5}[/tex]

[tex]\frac{-25}{0}[/tex]

= undefined

An electronics shop sells only TVs, phones and tablets. Number sold Select all of the statements below that are true. Number of electronic devices sold 80 60- 40 20 0 Monday Tuesday Wednesday Day Key TV Phone Tablet The largest total number of electronic devices sold was on Wednesday The smallest number of TVs sold was on Monday The same number of phones was sold on each of Monday, Tuesday and Wednesday On Tuesday, more tablets were sold than any other type of electronic device An electronics shop sells only TVs , phones and tablets . Number sold Select all of the statements below that are true . Number of electronic devices sold 80 60 40 20 0 Monday Tuesday Wednesday Day Key TV Phone Tablet The largest total number of electronic devices sold was on Wednesday The smallest number of TVs sold was on Monday The same number of phones was sold on each of Monday , Tuesday and Wednesday On Tuesday , more tablets were sold than any other type of electronic device​

Answers

A graph is a way to represent a lot of data in such a visual format. The correct statements are A, B, and D.

What is a graph?

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The statement that is correct about the given table is,

A.) The largest total number of electronic devices sold was on Wednesday.

B.) The smallest number of TVs sold was on Monday.

D.) On Tuesday, more tablets were sold than any other type of electronic device

hence, the correct statements are A, B, and D.

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Solve |1-4x| > 7
(x-1.5 (xlx < -1.5 UX>1.5)
(xx<-1.5 UX > 2)

Answers

If [tex]1-4x\ge0[/tex], then by definition of absolute value

[tex]|1-4x| = 1-4x > 7 \implies 4x < -6 \implies x < -\dfrac32[/tex]

On the other hand, if [tex]1-4x<0[/tex], then

[tex]|1-4x| = -(1-4x) = -1 + 4x > 7 \implies 4x > 8 \implies x > 2[/tex]

So, the overall solution to the inequality is interval union

[tex]\left(x < -\dfrac32\right) \cup (x > 2)[/tex]

justification two common tangents

Answers

Two common tangents occur when two circles intersect each other at two points.

How to illustrate the information?

It should be noted that two common tangents are also referred to as transverse common tangents.

In this case, two common tangents occur when two circles intersect each other at two points.

The diagram is attached.

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George bought socks for "$"300 and planned to sell them for $6 a pair. write an inequality to find the minimum number of socks he has to sell in order to make a profit of more than 210.

Answers

The inequality 6s - 300 > 210 represents the minimum number of socks (s) when George bought socks for "$"300 and planned to sell them for $6 a pair, and want to make a profit of more than 210.

In the question, we are given that George bought socks for $300.

Therefore, George's total cost = $300.

We assume the number of pairs of socks George sells to be s.

The unit price per pair quoted by George = $6

Therefore, George's total sales = $6s.

We know that the profit over a transaction is given as the difference between sales and costs, that is,

The profit = The total sales - the total costs,

or, profit = 6s - 300.

In the question, we are required to make a profit of more than 210.

This can be shown by the inequality,

6s - 300 > 210.

Thus, the inequality 6s - 300 > 210 represents the minimum number of socks (s) when George bought socks for "$"300 and planned to sell them for $6 a pair, and want to make a profit of more than 210.

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help meee please i need help

Answers

Answer:

81pi

Step-by-step explanation:

You are asking yourself the area of pi*r^2 could with r as 9. pi*9^2. solve and you get 81pi :D

4 (-15 - 3p ) - 4 (-p + 5 )


A. (-8p - 80)
B . ( -13p - 80 )
C. ( -8p + 80 )
D ( 8p - 80)

Answers

A
Please mark brainliest

Answer:

Answer A is correct

Step-by-step explanation:

4 (-15 - 3p ) - 4 (-p + 5 )

First, solve the brackets.

-60 - 12p + 4p - 20

Combine like terms.

- 80 - 8p

∴ - 8p - 80

Evaluate the function f(x) = − x² + 10x – 6 Find f( -5)

Answers

Answer:

f (-5) = -81

Step-by-step explanation:

f (-5) = - (-5)² + 10.(-5) - 6 = -81

Find x in the following 45°-45°-90° right triangle. Geometry!!! pls help

Answers

Answer:

6

Step-by-step explanation:

The numbering system we commonly use is called the decimal numbering system because it uses ____ symbols to represent all possible numbers.

Answers

The numbering system we commonly use is called the decimal numbering system because it uses 10 symbols to represent all possible numbers.

A way of writing numbers is known as a number system.

There are the following number systems:

Decimal number system: "Deci" meaning 10, implies that the number system consists of 10 digits or symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.Binary number system: "Bi" meaning 2, implies that the number system consists of 2digits or symbols, namely 0, and 1.Octal number system: "Oct" meaning 8, implies that the number system consists of 8 digits or symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, and 8.Hexa-Decimal number system: "Hexa-Deci" meaning 16, implies that the number system consists of 16 symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F.

Hence, we can say that the numbering system we commonly use is called the decimal numbering system because it uses 10 symbols to represent all possible numbers.

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Determine the equation, in vertex form, for the following parabolas.

A. The graph below

B. has a vertex at (−2, 5) and passes (b) through the point (2, 0)

Answers

5x²+20x+16y-15=0 is the equation, in vertex form, for the given parabolas.

We need to determine the equation, in vertex form, for the following parabolas.

How to find the equation, in vertex form?

We can find the parabola's equation in vertex form following two steps:

Step 1: Use the (known) coordinates of the vertex, (h,k), to write the parabola's equation in the form: y=a(x−h)²+k.

Step 2: Find the value of the coefficient a by substituting the coordinates of the point into the equation written in step 1 and solving for a.

Now, substitute (−2, 5) in y=a(x−h)²+k

⇒y=a(x−(-2))²+5

Now, substitute (2, 0) in y=a(x−(-2))²+5.

0=a(2+2)²+5

⇒a=-5/16

So, y=-5/16(x+2)²+5

⇒16y=-5(x²+4x+4)+5

⇒16y=-5x²-20x-20+5

5x²+20x+16y-15=0.

Therefore, 5x²+20x+16y-15=0 is the equation, in vertex form, for the given parabolas.

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If an equilateral triangles sides are 8 inches long, what is the height?
I think it’s 8.48 but i’m not sure.

Answers

Answer:

6.93

Step-by-step explanation:

formula to find height of equilateral triangle is [tex]\frac{\sqrt{3} }{2} *A[/tex] A is the side of the equilateral triangle

Answer:

6.93 inches

(first option listed)

Step-by-step explanation:

we can find the height of this triangle by turning it into a right triangle, and then using the Pythagorean Theorem

(process shown in photo)

hope this helps!! have a lovely day :)

What is the sum of the series infinity e n-1 -3(3/8)^n?

Answers

the answer for the question above is 9/5

Victoria needs to order some new supplies for the restaurant where she works. The restaurant needs at least 673 glasses. There are currently 368 glasses. If each set on sale contains 10 glasses, write and solve an inequality which can be used to determine x, the number of sets of glasses Victoria could buy for the restaurant to have enough glasses.

Answers

Using a linear function, we have that:

The inequality is: [tex]368 + 10x \geq 673[/tex].The solution is: [tex]x \geq 31[/tex].

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Since there are currently 368 glasses(y-intercept), and each set on sale comes with 10 glasses(slope), the number of glasses after x sales is given by:

y = 368 + 10x.

She needs at least 673 glasses, hence the inequality is:

[tex]y \geq 673[/tex]

[tex]368 + 10x \geq 673[/tex].

Now we solve the inequality to find the number of sets needed:

[tex]10x \geq 305[/tex]

[tex]x \geq 30.5[/tex]

As the number of sets is an integer number, the solution is:

[tex]x \geq 31[/tex].

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Each leg of a 45°-45°-90° triangle measures 14 cm. what is the length of the hypotenuse? 7 cm 7 startroot 2 endroot cm 14 cm 14 startroot 2 endroot cm

Answers

Answer:

[tex]14\sqrt{2}[/tex]

Step-by-step explanation:

In a 45°-45°-90° triangle, the legs = x and the hypotenuse = [tex]x\sqrt2}[/tex]

x = 14

[tex]x\sqrt{2} =14\sqrt{2}[/tex]

Answer:

d

Step-by-step explanation:

14 startroot 2 endroot cm

A 40 percent discount on a sweater resulted in a saving of $14.40. Find the original price.

Answers

Answer:

$36

Step-by-step explanation:

14.40 is 40% of 36.

Answer:

$36

Step-by-step explanation

40/100 = 14.4/?

100 * 14.4 = 1440

1440 / 40 = 36

Which of the following is a true statement about functions?
Look below at image attached

Answers

The true statement about functions is D. If f and g are functions, then (f + g)(-2) = (g + f)(-2).

How to depict the information?

It should be noted that a function is used to define the relationship that's exist between rte variables.

In this case, when f and g are functions, then (f + g)(-2) = (g + f)(-2).

Therefore, the correct option is D.

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An American roulette wheel has 38 slots: two slots are numbered 0 and 00, and the remaining slots are numbered from 1 to 36. Find the probability that the ball lands in an odd-numbered slot. Write your answer as a whole number or reduced fraction.

Answers

Answer:

9/19

Step-by-step explanation:

To write the probability as a fraction, put the total number on the bottom and put the number of ways the event can happen, put that on top.

They said there are 38 slots. That's the total, it goes on the bottom.

Landing on an Odd Number is the event we're looking at. There are 18 ways that can happen: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35

That number 18 (bc 18 ways to get an odd number) goes on top.

P(Odd) = 18/38

Always simplify when possible.

18/38

= 9/19

I need help with this problem.
x3+4x

Answers

Answer: x=0 x=2i x=-2i

if your factoring: x(x^2+4)

Step-by-step explanation:

(if your solving for x)

[tex]x^{3} +4x\\x(x^{2} +4)\\\\x=0\\\\x=\frac{-b}{2a}\frac{+}{-} \frac{\sqrt{b^2-4ac}}{2a} \\\\x=\frac{0}{2}\frac{+}{-} \frac{\sqrt{0^2-16}}{2} \\x={0}}\frac{+}{-} \frac{\sqrt{-16}}{2} \\[/tex]

[tex]x={0}}\frac{+}{-} \frac{4i}{2} \\\\\\x=\frac{+}{-}2i[/tex]

Prism A and Prism B have the same volume. Which could be the dimensions of prism B. Please help!

Answers

Question : Prism A and Prism B have the same volume. Which could be the dimensions of prism B?

Prism A :

Length = 8 feet

Width = 4 feet

Height = 5 feet

Prism B:

Length = ? feet

Width = ? feet

Height = ? feet

Option 1:

Length = 6 feet

Width = 10 feet

Height = 2 feet

Option 2:

Length = 4 feet

Width = 4 feet

Height = 10 feet

Option 3:

Length = 5 feet

Width = 4 feet

Height = 7 feet

Option 4:

Length = 8 feet

Width = 4 feet

Height = 6 feet

Here, the dimensions of the prism B will be length = 4 feet, width = 4 feet, and height = 10 feet.

We know that if the a and b be the length and width of the base respectively and c be the height of a prism, then the volume of the prism is abc.

Given that

length of 1st prism = 8 feet

width of 1st prism = 4 feet

height of 1st prism = 5 feet

So volume of 1st prism = 8 * 4 * 5 = 160 feet³

Now the volume of 1st and 2nd prisms are the same.

So, we have to check the options for length, width, and height of the 2nd prism.

1st option:

Height = 6 feet

Width = 10 feet

Length = 2 feet

So, volume = 6 * 10 * 2 = 120 feet³

Then the 1st option is incorrect.

2nd option:

Height = 4 feet

Width = 4 feet

Length = 10 feet

So, volume = 4 * 4 * 10 = 160 feet³

Then the 2nd option is correct.

Therefore, the dimensions of the prism B will be length = 4 feet, width = 4 feet, and height = 10 feet. The 2nd option is correct.

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A machine is designed to fill toothpaste tubes, on an average, with 5.8 ounces of toothpaste. The manufacturer does not want any underfilling or overfilling. The correct hypotheses to be tested are

Answers

The correct hypothesis that can be set up for this test is given as

H0: mu = 5.8

Ha: mu ≠ 5.8

What is a statistical hypothesis?

This is the method of inference that is made in a statistical testing in order to know if the dat available is able to support the claims that have been made.

What the manufacturer wants to know is the average filling of the machine. If it is within 5.8 or not.

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What is solve -x+4=x+6

Answers

-(-1)+4=-1+6
1+4=-1+6
5=5
I hope that helped there’s the step by step to explain a little more that first x was already a negative so so to plug it in you would have to bring that negative in ground of the answer of x like so -(-1) those negative would then cancel each other out making it just 1 but if x=1 then it would be -(1) and it was make it -1 hope this helped :)

a property sells for one and a half million dollars. the five owners each receive a fifth of the money.
how much money does each owner receive?​

Answers

Answer: Each owner gets $300000

Step-by-step explanation:

one and a half million is 1500000

then divide by 5

you get $300000

Please help!!! What is the slope of a line perpendicular to the following line:

Answers

Answer:

b.) 2

Explanation:

Parallel slopes have same slope.

Perpendicular slopes have negatively inverse slope.

[tex]\sf Here \ given \ equation: y = -\dfrac{1}{2} x - 6[/tex]

Comparing it with slope intercept form, "y = mx + b" where m is slope.

Here parallel slope: -1/2

Perpendicular slope: -(-1/2)⁻¹ = 2

Select all of the solutions to the equation.

Answers

The solution to the equations is; +1/2, -1/2, +√2, and -√2.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

[tex]4x^4 + 7x^2 - 2 = 0\\\\[/tex]

The factored form of the polynomial regression

[tex](4x^2 -1)(x^{2} + 2)[/tex]

So,

[tex](4x^2 -1) = 0\\\\4x^2 = 1\\\\x = \pm \dfrac{1}{2}[/tex]

Also,

[tex](x^{2} + 2) = 0\\\\x^{2} = - 2\\\\x = \pm \sqrt{2}[/tex]

Hence, the solution to the equations are;

+1/2, -1/2, +√2, and -√2.

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Answer:

ABCF

Step-by-step explanation:

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