Express tan C as a fraction in simplest terms.

SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER

Express Tan C As A Fraction In Simplest Terms.SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer 1

Answer:

[tex]\sf \tan(C)=\dfrac{3}{4}[/tex]

Step-by-step explanation:

First, find the missing side length (DE) by using Pythagoras' Theorem:

a² + b² = c²  

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ 36² + DE² = 45²  

⇒ DE² = 45² - 36²

⇒ DE² = 729

⇒ DE = √729

⇒ DE = 27

Tan trig ratio

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angle

Given:

[tex]\theta[/tex] = CO = DE = 27A = 36

Substituting the given values into the formula:

[tex]\implies \sf \tan(C)=\dfrac{27}{36}=\dfrac{3}{4}[/tex]

Answer 2

Answer:

3/4

Step-by-step explanation:

Finding the missing side by applying the Pythagorean Theorem :

a² + b² = c²a² = c² - b²a² = (45)² - (36)²a² = 2025 - 1296a² = 729a = 27

Finding tan C :

opposing side of ∠C / adjacent side of ∠CDE / CD27/363/4

Related Questions

Help me with this question please

Answers

Answer:

A) D) F)

Step-by-step explanation:

A) Since the graph is 10x10, and there are 10 seasons, it makes sense for A) to be an option

D) There is a total of 50 values that will be on the verticle axis, which seems like a fair number when the highest value is 37

F) (Season 8, 30 average points per game)

If a sprinkler rotated 90˚, paused, and then rotated another 90˚, how many degrees
did it rotate altogether

Answers

Answer:

180°

Step-by-step explanation:

Since a sprinkler rotates 90°, pauses,and then rotates another 90°

So, here total degrees be like

= 90° + 90°

= 180°

hence, The number of degrees did it rotate altogether should be considered as the 180 degrees.

Find h(j+1) if h(x)=4x² + 3x - 2

Answers

Answer:

  h(j+1) = 4j² +11j +5

Step-by-step explanation:

A function is evaluated for a specific argument by substituting that argument for the variable in the function's expression. Then the expression is simplified.

__

For function ...

  h(x) = 4x² +3x -2

The value of h(j+1) is ...

  [tex]h(j+1)=4(j+1)^2 +3(j+1)-2\\\\= (4(j+1)+3)(j+1)-2=(4j+7)(j+1)-2=4j^2+11j+7-2\\\\\boxed{h(j+1)=4j^2+11j+5}[/tex]

-3/5, 6/5, -12/5 whats the next term of the geometric sequence?

Answers

Answer:

24

Step-by-step explanation:

The numerators are being multiplied by -2

What is the length of line segment b c? round to the nearest tenth. 14.3 in. 20.5 in. 21.3 in. 22.6 in.

Answers

The given figure is a triangle with 3 sides and angles. The length of BC as shown in the diagram is 20.5in

SOH CAH TOA identity

The given figure is a triangle with 3 sides and angles. In order to determine the length of BC, we will use the expression given:

cos 35 = a/25

where a = BC

cos 35 = BC/25
BC = 25cos 35
BC = 20.5in

Hence the length of BC as shown in the diagram is 20.5in

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fine the value please, giving BRAINLIEST ​

Answers

Answer: 15a√x

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

plspls help i will give u brainliest!!!! answer questions correctly please.
17-(-5)=

(-12)+(-6)=

8(-5)=

-72 divided by (-9)=

1/9+3/8

-2 1/2+(-5 3/4)

3 2/3-1 5/6

-4/5-2/3

-3 1/4 x 2 2/3

-5/9 x -2/9

1 7/8 divided by 3

-1/3 divided by 7/8

you will get brainliest please give right answers i need a good grade in this!!
i only have 11 points im sorry
but you will get the best rating and brainliest

Answers

1 = 12 2=6 3=3 4= -8 5= 35/72 6= 3 1/4 7= 1 5/6 8= 1/4 I think and 9= 8 2/3
I hope this is right I’m only in middle school 6 grade :) good luck

To make 3 litres of pale purple paint you mix:
1.5 litres red
1.25 litres of blue
0.25 litres of white paint.
a How much red paint is needed to make 8 litres of paint?

Answers

Answer:

4 litres.

Step-by-step explanation:

By proportion that would be:

1.5 * 8/3

= 12/3

= 4 litres.

1. Use the function f (x) to answer the questions:

f(x) = 2x^2 − 3x − 5

Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)

2. The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company: (picture of graph attached below)

Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)

Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (3 points)

Part C: Describe the constraints of the domain. (3 points)

I promise to give braInliest to the correct answer.

Answers

Answer:

A vertical shift is when the graph literally moves vertically, up or down. The movement is all based on what happens to the y-value of the graph. The y-axis of a coordinate plane is the vertical axis. When a function shifts vertically, the y-value changes.

Step-by-step explanation:

find the value of x
50°
6
X
Not drawn to scale

Answers

Answer:

Hence option C is correct...hope this helps you:)

Many simple quadratic equations have two solution( one positive,one negative)but there is one simple quadratic equation that has only one solution.what is the equation and what is its solution?

Answers

Answer:

The answer is ax² + bx + c = 0

Step-by-step explanation:

A discrete random variable is a variable that is randomly chosen and can take
on an infinite number of values over a specific range.

a. true
o
b. false

Answers

Answer:

false

Step-by-step explanation:

Leon has a piece of cheese shaped like a triangular prism that he needs to wrap in plastic wrap. a triangular prism. the triangular base has a base of 4 inches and height of 3 inches. the height of the prism is 7 inches. what is the minimum amount of plastic wrap that he needs to cover the entire piece of cheese? 42 inches squared 84 inches squared 96 inches squared 108 inches squared

Answers

The minimum amount of plastic wrap needed to cover the entire piece of cheese is : 84 squared inches.

What is a triangular prism?

A triangular prism is a solid geometrical shape made of three rectangles and two triangles.

Analysis:

base of triangle = 4 inches, height of triangle = 3 inches, length of rectangles = 7 inches

Total surface area of the triangular prism = area of two triangles + plus area of two slant rectangles + area of 1 straight face rectangle.

for the slant rectangle, the width of the rectangle, half the base of the triangle and the height of triangle form right- angled triangle using Pythagoras to solve for the width of the rectangle  we have

[tex]l^{2}[/tex] = [tex]2^{2}[/tex] + [tex]3^{2}[/tex]

l = [tex]\sqrt{13}[/tex] = 3.6

Total surface area = 2(1/2bh) + 2(l x b) + L x B

                               = 2 ( 1/2 x 2 x 3) + 2( 7 x 3.6) + 7 x 4 = 84.4 = 84 squared inches.

in conclusion, the amount of plastic needed is 84 inches squared.

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Need help please answer asap

Answers

#13

x²+3x-2-(2x²-x+6)x²+3x-2-2x²+x-6-x²+4x-8

Option D

#14

.(a²+b²)²(a²)²+(b²)²+2a²b²a⁴+2a²b²+b⁴

Answer:

    13. (4) -x² + 4x - 8

    14. (3) a⁴ + 2a²b² + b⁴

Step-by-step explanation:

Question 13

x² + 3x - 2 - [2x² - x + 6]x² - 2x² + 3x + x - 2 - 6(4) -x² + 4x - 8

Question 14

(a² + b²)²(a²)² + 2(a²)(b²) + (b²)²(3) a⁴ + 2a²b² + b⁴

help me with this question please!!!!

Answers

Answer:

i believe its the second

Step-by-step explanation:

so sorry if im wrong

I believe it’s the second option

What is ∑n=15[5(−2)n−1] equal to?

Answers

Answer:

Although the notation is sloppy, I will assume based on former questions of the same that "∑n=15[5(−2)^n−1]" translates mathematically to . Please correct me, though, if this in incorrect.

Anyway, there is neat formula that will deal with question very quickly. It is the following:

Sn is the sum of the geometric series

a1 is the first term in the series

r is the common ratio

n is the number of terms in the finite geometric series

Let's use this formula to our advantage! However, there are two variables that we do not know: a1 and n. Let's start with a1.The first term in the series is when n=1, so let's determine what that is.

The expression ∑n = 15 [5 (−2) n − 1] is equal to 5/16384.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

First, let's understand the notation.

∑n = 15 represents the sum of the expression that follows for n starting from 15, and the expression is 5 (−2) n − 1.

So, we need to find the sum of 5 (−2) n − 1 from n = 15 to n = 15, which means there is only one term in the sum.

Substituting n = 15, we get:

5 (−2) (15 − 1) = 5 (−2) 14 = 5/16384

Therefore,

The expression ∑n = 15 [5 (−2) n − 1] is equal to 5/16384.

Learn more about expressions here:

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in a group of 70 people, 37 like tea, 52 like milk and each people likes at least one of the two drinks.
1)how many people like both tea and milk ?
2) how many people like tea only ?
3)how many people like milk only ?
4)show the above information in a Venn diagram.​

Answers

Step-by-step explanation:

got the answer see in the image :)

Tell whether a triangle with the side lengths 65 feet, 72 feet, and 97 feet is a right triangle.

Answers

Answer:

when the sum of the squares of the sides are equal to the square of the hypotenuse

Step-by-step explanation:

we use Pythagoras, 97 is the hypotenuse, 65 and 72 the sides.

97² = 65² + 72²

97² = 97²

it is a right triangle

170 over 360 simplify

Answers

The answer is 17/36…. Just take the zeros off

Answer:

17/36

Step-by-step explanation:

Your friend is planting a circular garden full of different color pansies. Your friend plans to plant five different colors of equal amounts. The garden has a
radius of 20 feet. How many square feet of space will each color cover?

Answers

The area that each color would occupy in the circular garden is: 251.32 sq. ft.

What is the Area of a Circle?

Area of a circle = πr², where the radius of the circle is represented as r.

Area of the circular garden = πr² = π(20²)

Area of the circular garden = 1,256.6 sq. ft.

Area of space each color would cover = 1,256.6/5 = 251.32 sq. ft.

Learn more about area of a circle on:

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The car that Ms. Garcia is buying comes with a choice of 3 trim lines (standard, sport, or luxury), 2 types of transmission (automatic or manual), and 8 colors. How many different option packages does Ms. Garcia have to choose from? Explain.

Answers

Answer:

Number of different options for Ms. Garcia are

3 * 2 * 8 = 48

So 48 options

Step-by-step explanation:

There are m ways to make 1st selection and n ways to make 2nd selection and p ways to make 3rd selection so thats why I did (m * n * p)

Without using a calculator, determine the value of: sin 60° x tan30° sec45° ​

Answers

hey there !

We know that ,

Sin 60° = √3/2

Tan 30° = 1/√3

Sec 45° = √2

Now ,

Sin 60° tan 30° sec 45° = √3/2 x 1/√3 x √2

=> √2/2

Hope this helps you.

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

I've used 'unit triangles' to calculate various trig values without a calculator at all!

Please look at my image that I've attached. It includes all the steps necessary to find the answer to your question.

I've assumed prior knowledge of Pythagoras's Theorem & SOHCAHTOA.

Please give comments if you need further explanation from me!

Best of luck, Kenny!

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Answer:

The s represents the y-intercept of the graph.

The 100t in the equation means the initial velocity of the rockey is 100

Step-by-step explanation:

According to the text and graph.

The s reprecets the yintexept of the graph

h(t)=5+100t-16t²

h(t)=100-32t

k(0)=100

in terms of the rocket The 100t in the equation means the initial velocity of the rockey is 100

read the image for the rest

A kite has a part of a diagonal measure of 2.7 in and another part of 1.4 in find the area of the entire kite

Answers

Answer:

1.89 inch²

Explanation:

[tex]\sf \boxed{\sf \dfrac{pq}{2} } \ \ \ where \ p \ and \ q \ are \ the \ diagonals \ of \ the \ kite[/tex]

Here given:

diagonal 1: 2.7 inchdiagonal 2: 1.4 inch

Find the Area:

[tex]\rightarrow \sf \dfrac{2.7 \ x \ 1.4}{2} \ = \ 1.89 \ in^2[/tex]

Why is cereal is packaged in rectangular boxes?

Answers

Answer:

A rectangular solid offers more volume while still maintaining a width acceptable to be gripped by one hand. Considering the average grip width available to humans is a couple inches wide, cereal boxes conform to this to allow one handed pouring.

Step-by-step explanation:

Try writing this on your own words if you want :)

. Find the area of a circle with a
circumference
of 11( 3.14 )

feel
?

Answers

Answer:

95.03

Step-by-step explanation:

Write this percentage as a fraction in its simplest form. 50 %

Answers

Answer:

1/2

Step-by-step explanation:

50/100 = 5/10 =1/2

in it's simplest form

;)

I need help, question is in image.​

Answers

Answer:

[tex]9 > x > - 4[/tex]

9 is greater than x and -4 is less than x

Answer:

- 4 < x < 9

Step-by-step explanation:

given 9 is greater than x then x is less than 9 and - 4 < x , so

- 4 < x < 9

The price of a notebook is 20% less than the price of a book. By
what percent is the price of the book higher than the price of the
notebook?

HELP

Answers

Answer:

125%

Step-by-step explanation:

lets just say the book is $100. 20% less would be $80
now to go back to $100, we need to add $20 to $80
20 is 25% of 80, so add the extra 25% to 100% of 80

The weather forecast says there is a `75\%` chance it will rain

Answers

25% chance it won’t rain.
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