A right triangle has side lengths 8 ,15 , 17 and as shown below.
Use these lengths to find TanA, sinA,cosA

A Right Triangle Has Side Lengths 8 ,15 , 17 And As Shown Below.Use These Lengths To Find TanA, SinA,cosA

Answers

Answer 1

Answers:

tan(A) = 8/15

sin(A) = 8/17

cos(A) = 15/17

==================================================

Explanation:

The tangent ratio involves the opposite over adjacent. With respect to angle A, the opposite side is 8 units long as this side is as far as possible away from angle A. In contrast, the adjacent side is 15 units long because this leg is closest possible and the two are right next to one another.

Therefore,

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = 8/15

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

As for the other trig ratios, they are:

sin(angle) = opposite/hypotenuse

cos(angle) = adjacent/hypotenuse

which explains why sin(A) and cos(A) are 8/17 and 15/17 respectively.


Related Questions

The Kitchen committee purchased 76 boxes of cookies for Vacation Bible School,
Monday, 14 2/3 boxes were used; Tuesday 15 boxes; and Wednesday 13 3/4 boxes.
How many boxes were used during the three days?
(Write the operation and the answer)

Answers

269 I think :) not sure


Josh orders 12 soccer jerseys for his team, including his coach. He pays a total
of R594,60 for the jerseys. What did each jersey cost?​

Answers

Answer:

4955

Step-by-step explanation:

soccer jerseys--> 12

total--> R 59460

= 59460 divided by 12

= 4955

Ans: Each jersey costs R 4955.

thenks and mark me brainliestt pls :))

David wanted to go on an amusement park ride. A sign posted at the entrance read “You must be greater than 42 inches tall and no more than 57 inches tall for this ride.” Which inequality would model the height, x, required for this amusement park ride?

Answers

Answer:

42 < x less than or equal to 57

Step-by-step explanation:

The inequality that would model the height, x, required for this amusement park ride is 57 > h > 42.

What is inequality?

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations

Now it is given that,

Lower limit of height must be greater than 42 inches

Upper limit  of height must be less than 57 inches

If h is the height used for model.

Thus, h < 57 inches

and, h > 42 inches

Therefore the inequality model will be,

57 > h > 42

Thus, the inequality that would model the height, x, required for this amusement park ride is 57 > h > 42.

To learn more about inequality :

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please help me i am doing over due work and i want to finish and listen to cuco and rest

Answers

Question 14

3+6x3(1+2x)3(2x+1)

You can check using the distributive and commutative properties that all of these are equivalent to 6x+3.

Question 15

(7+5)p - p = 12p - p = 11p

Question 16

7 + 5(p-p) = 7 + 5(0) = 7

Question 17

No parentheses are needed.

ILL GIVE YOU BRAINLIEST!! 33 POINTS!!!


(ONLY IF YOU GET IT CORRECT)

Answers

Answer:

80 ft

Step-by-step explanation:

the length of an arc is equal to the degree the arc makes

Answer:

A. 28π/9 ft

Step-by-step explanation:

Arc length is:

2πr*80°/360° ft = 4π*7/9 ft =28π/9 ft

Correct choice is A

We had a surprise party for Grandmama she was very surprised. Find the error in the sentence

Answers

Answer:

There needs to be a (.) or an (;)

Step-by-step explanation:

Plz helppp me it’s so hard

Answers

Answer:

Hello! Your answer would be, D)

Step-by-step explanation:

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

How do you find the unknown length for a special right angel

Answers

Answer: Pythagorean theroem

Step-by-step explanation:

The easiest method to use in terms of a missing side as long as you know at least two other variables whether its another side or angle

What are the zeros of the quadratic function f(x) = 2x2 + 16x – 9?
O x=-4-

and x = -4+
7
2

O x=-4-
25
2
and x = -4+
25
V2
21
O x=-4-
LU
and x = -4 +
21
V2

41
O x=-4-
41
and x = -4 +
V 2

Answers

Answer:

[tex]\mathrm{X\:Intercepts}:\:\left(\frac{-8+\sqrt{82}}{2},\:0\right),\:\left(-\frac{8+\sqrt{82}}{2},\:0\right)[/tex]

Step-by-step explanation:

[tex]f\left(x\right)\:=\:2x^2\:+\:16x\:-\:9[/tex]

- Given

[tex]\mathrm{X\:Intercepts}:\:\left(\frac{-8+\sqrt{82}}{2},\:0\right),\:\left(-\frac{8+\sqrt{82}}{2},\:0\right)[/tex]

By definition of zeros of  a function,  the zeros of the quadratic function f(x) = 2x² + 16x – 9 are [tex]x1=-4+\frac{\sqrt{82}}{2}[/tex] and [tex]x2=-4-\frac{\sqrt{82}}{2}[/tex] .

What is zeros of a function

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.

Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

In a quadratic function that has the form:

f(x)= ax² + bx + c

the zeros or roots are calculated by:

[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4ab } }{2a}[/tex]

This case

The quadratic function is f(x) = 2x² + 16x – 9

Being:

a= 2b=16c=-9

the zeros or roots are calculated as:

[tex]x1=\frac{-16+\sqrt{16^{2}-4x2x(-9) } }{2x2}[/tex]

[tex]x1=\frac{-16+\sqrt{256 +72 } }{4}[/tex]

[tex]x1=\frac{-16+\sqrt{328} }{4}[/tex]

[tex]x1=\frac{-16+\sqrt{4x82} }{4}[/tex]

[tex]x1=\frac{-16+2\sqrt{82} }{4}[/tex]

[tex]x1=\frac{-16}{4}+\frac{2\sqrt{82}}{4}[/tex]

[tex]x1=-4+\frac{\sqrt{82}}{2}[/tex]

and

[tex]x2=\frac{-16-\sqrt{16^{2}-4x2x(-9) } }{2x2}[/tex]

[tex]x2=\frac{-16-\sqrt{256 +72 } }{4}[/tex]

[tex]x2=\frac{-16-\sqrt{328} }{4}[/tex]

[tex]x2=\frac{-16-\sqrt{4x82} }{4}[/tex]

[tex]x2=\frac{-16-2\sqrt{82} }{4}[/tex]

[tex]x2=\frac{-16}{4}-\frac{2\sqrt{82}}{4}[/tex]

[tex]x2=-4-\frac{\sqrt{82}}{2}[/tex]

Finally, the zeros of the quadratic function f(x) = 2x² + 16x – 9 are [tex]x1=-4+\frac{\sqrt{82}}{2}[/tex] and [tex]x2=-4-\frac{\sqrt{82}}{2}[/tex] .

Learn more about the zeros of a quadratic function:

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Use the greatest common factor and the distributive property to write an equivalent expression in factored form for the following expression: 4d +12e. Do not use spaces.

Answers

Answer:

4

Step-by-step explanation:

The greatest common factor of [tex]4d+12e[/tex] is [tex]4[/tex].

[tex]4(d+3e)[/tex]

The Greatest common factor is 4

Select two ratios that are equivalent to 27: 9.
Choose 2 answers:
А
3:1
B
9:3
С
6:3
9:6
E
12 : 3​

Answers

Answer:

A

B

Step-by-step explanation:

Answer:

A and B are the two ratios equivalent to 27:9. All you have to do is divide 27 by 3 and 9 by 3 also and you will get 3:1. Just remember your multiplication tables, you'll find the answer easily.

Hope this helps! :)

The function H(t) = −16t2 + 75t + 25 shows the height H(t), in feet, of a baseball after t seconds. Part A: After how many seconds does the baseball hit the ground? You do not need to show your work. Part B: What is the maximum height of the baseball? You do not need to show your work.

Answers

Step-by-step explanation:

Given that,

The function that shows the height of a baseball after t seconds is given by :

[tex]H(t)=-16t^2+75t+25[/tex] ....(1)

Part (A).

When the baseball hits the ground,

H(t) = 0

So,

[tex]-16t^2+75t+25=0\\\\t=5\ s\ and\ t=-0.31\ s[/tex]

After 5 seconds the baseball will hit the ground.

Pat (B)

For maximum height, put dH/dt = 0

So,

[tex]\dfrac{d}{dt}(-16t^2+75t+25)=0\\\\-32t+75=0\\\\t=2.34\ s[/tex]

Put t = 2.34 s in equation (1).

[tex]H(t)=-16(2.34)^2+75(2.34)+25\\\\H(t)=112.89\ m[/tex]

Hence, this is the required solution.

Thomas bought 100 folders he paid $50 for all the folders He said every folder cost five cents do you agree

Answers

Answer:

No, each folder costs 50 cents.

Step-by-step explanation:

0.50*100= 50

Based upon risk, which of the following answers ranks from high to low?
Collectables
Bonds
Stocks
Mutual Funds

Answers

Answer:

stocks, bonds, mutual funds, and collectables

Step-by-step explanation:

If we remove all of the jacks, queens and kings from a 52-card deck, how many unique three card hand combinations can we create?
59,280
44,200
132,600
19,760

Answers

The answer is 59,280

The no. of unique card combinations we can create is 59280

What is permutation and combination?

By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented.

There are 52 cards in a deck in which, there are 12 face cards and 40 numbered cards.

So, by using fundamental principle of counting=40x39x38                                                      =59280

Therefore, the no. of unique card combinations we can create is 59280

Learn more about Permutation and combination,

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Which is greater 6 cups or 4 quarts

Answers

Answer:

not sure but 4 quarts i think

Answer:

4 quarts is greater because it is equal to 16 cups

A pyramid has a square base with sides. The height of the pyramid is that of its side. What is the expression for the volume of the pyramid?

Answers

Answer:

Step-by-step explanation:

volume = length x width x height

                 ————————————-

                                   3

EASY question: Show steps for brainliest <3

Tai sailed east from the marina for 48 miles and
then sailed south for 14 miles, as shown in the
diagram.

What is the shortest distance Tai can sail to return
to the marina?
A 62 mi
B 82 mi
C 50 mi
D 34 mi

Answers

Answer:

C 50 mi

Step-by-step explanation:

You have to use the Pythagorean theorem:

14²+48²

196 + 2304

2500

Now you make the square root of 2500 and found the result: 50 mi

FAST PLEASE❗️❗️❗️❗️‼️

Answers

C. Its a permutation since order does matter even though it says other wise.

The measure of an angle is 5. What is the measure of its complementary angle?​

Answers

Answer:

85°

Step-by-step explanation:

90° - 5° = 85°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What is the length of AB?

Answers

Answer:

10

I took the quiz ;)

Answer:

10

Step-by-step explanation:

First we need to find A and B

A(-7;-6)

B(1;0)

If the gradient of the tangent to
[tex]y = \sqrt{x} [/tex]
is
[tex] \frac{1}{6} [/tex]
at point A, find the coordinates of A.​

Answers

Answer:

Point A(9, 3)

General Formulas and Concepts:

Pre-Algebra  

Order of Operations: BPEMDAS  

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties  

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I  

Coordinates (x, y) Functions Function Notation Terms/Coefficients Anything to the 0th power is 1Exponential Rule [Rewrite]:                                                                              [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]:                                                                     [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]  

Calculus  

Derivatives  

Derivative Notation  

Derivative of a constant is 0  

Basic Power Rule:  

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \sqrt{x}[/tex]

[tex]\displaystyle y' = \frac{1}{6}[/tex]

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Root Rewrite]:                                   [tex]\displaystyle y = x^{\frac{1}{2}}[/tex]Basic Power Rule:                                                                                             [tex]\displaystyle y' = \frac{1}{2}x^{\frac{1}{2} - 1}[/tex]Simplify:                                                                                                             [tex]\displaystyle y' = \frac{1}{2}x^{-\frac{1}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]:                                          [tex]\displaystyle y' = \frac{1}{2x^{\frac{1}{2}}}[/tex][Derivative] Rewrite [Exponential Rule - Root Rewrite]:                                 [tex]\displaystyle y' = \frac{1}{2\sqrt{x}}[/tex]

Step 3: Solve

Find coordinates of A.

x-coordinate

Substitute in y' [Derivative]:                                                                             [tex]\displaystyle \frac{1}{6} = \frac{1}{2\sqrt{x}}[/tex][Multiplication Property of Equality] Multiply 2 on both sides:                      [tex]\displaystyle \frac{1}{3} = \frac{1}{\sqrt{x}}[/tex][Multiplication Property of Equality] Cross-multiply:                                      [tex]\displaystyle \sqrt{x} = 3[/tex][Equality Property] Square both sides:                                                           [tex]\displaystyle x = 9[/tex]

y-coordinate

Substitute in x [Function]:                                                                                [tex]\displaystyle y = \sqrt{9}[/tex][√Radical] Evaluate:                                                                                         [tex]\displaystyle y = 3[/tex]

∴ Coordinates of A is (9, 3).

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

3/4 x 2/5 x 4/3 please helpppppppppppppppppppp

Answers

Answer:

24/60 or 0.4

Step-by-step explanation:

3/4×2/5=6/20

4/3×6/20=24/60

24/60

Please say whether they are equivalent or not

Answers

Answer:

Nothing is here. You may need to reupload question.

Drag a company name into each box to show the total cost from least to greatest.​

Answers

Answer:

Company A:

$3  each6% for shipping150*3*1.06 = $477 total cost

Company B:

$3.10 each4% for shipping150*3.1*1.04 = $483.60 total cost

Company C:

$3.20 eachNo shipping charge150*3.2 = $480 total cost

Least cost         |        Medium cost     |     Greatest cost

Company A       |          Company C     |      Company B

1.) Determine the type of solutions for the function (Picture 1)
2.) Determine the type of solutions for the function (Picture 2)
3.) Use the formula b2−4ac to determine the value of the discriminant of the function f(x)=2x2+8x+6
Use Desmos Scientific (Picture 3)
4.) Describe the transformations of the function
g(x)=−25(x−4)2+6 from the transformation of the parent function
Use phrases such as: the graph is reflected or not reflected/ the graph gets wider or narrower/ the graph slides left or right _________ units and slides up or down _________ (Picture 4)

Answers

Answer:

1) 2 nonreal complex roots

2) 1 Real Solution

3) 16

4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)

Step-by-step explanation:

1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0

We get;

y = a·x² + b·x + c

At y = 6, x = -2

Therefore;

6 = a·(-2)² - 2·b + c = 4·a - 2·b + c

6 = 4·a - 2·b + c...(1)

At y = 8, x = 0

8 = a·(0)² + b·0 + c

∴ c = 8...(2)

Similarly, we have;

At y = 8, x = -4

8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8

16·a - 4·b = 0

∴ b = 16·a/4 = 4·a

b = 4·a...(3)

From equation (1), (2) and (3), we have;

6 = 4·a - 2·b + c

∴ 6 = b - 2·b + 8 = -b + 8

6 - 8 = -b

∴ -b = -2

b = 2

b = 4·a

∴ a = b/4 = 2/4 = 1/2

The equation is therefor;

y = (1/2)·x² + 2·x + 8

Solving we get;

x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))

x =( -2 ± √(-12))/1 = -2 ± √(-12)

Therefore, we have;

2 nonreal complex roots

2) Give that the graph of the function touches the x-axis once, we have;

1 Real Solution

3) The given function is f(x) = 2·x² + 8·x + 6

The general form of the quadratic function is f(x) = a·x² + b·x + c

Comparing, we have;

a = 2, b = 8, c = 6

The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;

D = 8² - 4 × 2 × 6 = 16

The discriminant of the function, D = 16

4.) The given function is g(x) = (-2/5)·(x - 4)² + 6

The parent function of a quadratic equation is y = x²

A vertical translation is given by the following equation;

y = f(x) + b

A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)

A vertical reflection is given by an equation of the form; y = -f(x) = -x²

A narrowing is given by an equation of the form; y = b·f(x), where b < 1

Therefore, the transformations of g(x) from the parent function are;

g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.

can i get help please

Answers

Answer:

B. 1,130.4 cm³

Step-by-step explanation:

The formula for volume of a cylinder: πr²h (π x radius x radius x height).

(3.14 is the substitute for pi).

According to the word problem, the radius is 6.

And the height is how high a shape is; the height is 10.

Now we have our whole equation.

πr²h (π x radius x radius x height)

π · 6²· 10 (3.14 · 6 · 6 · 10)

π · 6²· 10 (3.14 · 6 · 6 · 10) = 1,130.4

Therefore, 1,130.4 cm³ is the volume of this cylinder.

Angles A and B are complementary. What is mB if mA = 15°? A. 75° B. 90° C. 105° D. 165°

Answers

Answer:

90

Step-by-step explanation:

Answer:

its 75 or A.

Step-by-step explanation:


Above are two different models of the same rectangle. If the length of the model on the top is 6 cm, what is the length of the model on
the bottom?
A. 15 cm
В. 12cm
C. 21cm
D.36cm

Answers

Answer:

D.36cm

Step-by-step explanation:

If the top rectangle have 6 cm, it means 6×16=108 ft

If the two rectangles are the same, it means that the bottom rectangle have also 108 ft, so:

108÷3= 36 cm

The ratio of two sums of money is 5:7 if the smaller amount is $250, what is the largest amount?

Answers

Answer:

$350

Step-by-step explanation:

[tex]\frac{250}{y} :\frac{5}{7}[/tex]

y · 5 = 250 · 7

5y = 1750

5y ÷ 5 = 1750 ÷ 5

y = 350

Answer:

$350

Step-by-step explanation:

5 is to 250 as 7 is to 'x'

5/250 = 7/x

cross-multiply:

5x = 1750

x = 350

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