Express the trig ratios as fractions in simplest terms.

Express The Trig Ratios As Fractions In Simplest Terms.

Answers

Answer 1

Answer:

Step-by-step explanation:

SOH CAH TOA

cos K  = 36/48 = 3/4

SIN L = 36/48 = 3/4

Answer 2

The trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The triangle JKL is right angled triangle.

In the triangle KL is the opposite side of angle J.

SinL = Opposite/Hypotenuse

CosK = Adjacent/Hypotenuse

Used here, this means ...

sin(L) = KL/JL = 36/60 =6/10=3/5

cos(K) = KJ/KL = 36/60 = 6/10=3/5

sin(L) and cos(K) are equal

Hence, the trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .

To learn more on trigonometry click:

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Related Questions

three number x, y and z are in ratio 5:3:4.find the value of 2x-6y+2z​

Answers

Answer:

-0

Step-by-step explanation:

In the Screenshot...….

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

help.....././././////////././.

Answers

Answer:

hello, i am not sure. but the answer is between a and c

Step-by-step explanation:

50 POINTS FOR CORRECT AWNSER!

Answers

Answer:

[tex]\mathsf{y < \dfrac47x-4}[/tex]

Step-by-step explanation:

First, find the equation of the line.

Slope-intercept form of a linear equation:  [tex]\mathsf{y=mx+b}[/tex]

(where m is the slope and b is the y-intercept)

From inspection of the graph, the y-intercept is at (0, -4)

Therefore, b = -4

Choose another point on the line, e.g. (7, 0)

Now use the slope formula to find the slope:

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

where:

[tex]\mathsf{(x_1,y_1)=(0,-4)}[/tex][tex]\mathsf{(x_2,y_2)=(7,0)}[/tex]

[tex]\implies \mathsf{slope=\dfrac{0-(-4)}{7-0}=\dfrac47}[/tex]

Therefore, the equation of the line is:

[tex]\mathsf{y=\dfrac47x-4}[/tex]

For an inequality, the dashed line means < or >  (whereas a solid line means ≤ or ≥)

As the shading is below the line, we need to use <

Therefore, the final inequality is:

[tex]\mathsf{y < \dfrac47x-4}[/tex]

It costs $20 to buy 5 sandwiches from a vending machine. At this rate, what is the cost for 8 sandwiches?

Answers

$20/5 = $4 per sandwich

$4 times 8 = $32 to buy 8 sandwiches

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize

Answers

Answer:

Divide 10 by 25 then multiply by 4 to get 40 / 100 which gives you the percentage: 40%

which equation can be used to describe the relationship between x and y shown in the table?

Answers

Answer:

y = 3x + 9

Step-by-step explanation:

y = mx + b

As the values of x increase by 1, the values of y increase by 3.

That means the slope, m, is 3.

m = 3

At x = 0, y = 9. That means the y-intercept, b, is 9.

b = 9

y = mx + b

y = 3x + 9

Having difficulty finding the correct explanation for the boxes.

Answers

Answer:

agree - the central angle is 360°/nagree - a hexagon has 6 degrees of rotational symmetryagree - the altitude is r×cos(180°/n)

Step-by-step explanation:

a)

Agree. All radii of a circle are the same length, so any triangle drawn from the center of a circle to points on the circle will be an isosceles triangle. By definition, all interior angles and all side lengths of a regular polygon are congruent. So, an n-sided regular polygon inscribed in a circle can be divided into n non-overlapping congruent isosceles triangles. That means the central angle is 360°/n, a value found based on the rotational symmetry of the figure.

__

b)

Agree. See the explanation in part (a). A regular hexagon has six congruent sides. Each of those can form the base of an isosceles triangle. Hence, the hexagon can be decomposed into 6 congruent isosceles triangles.

__

c)

Agree. The altitude divides each of the isosceles triangles of parts (a) and (b) into two congruent right triangles. The length of the altitude can be found as the product of the radius of the circle and the cosine of half the central angle of the isosceles triangle. That is, trigonometry can be used to find the altitude.

The altitude (apothem of the polygon) is ...

  a = r·cos(180°/n)

_____

Additional comment

A "correct" explanation is one that makes sense to you and your grader. The explanation you read here may not be "correct" in that sense. YMMV


[tex]89 + 96[/tex]
please help me how to solve this ​

Answers

Rewrite as ;

[tex]{:\implies \quad \sf (80+9)+(80+16)}[/tex]

[tex]{:\implies \quad \sf (80+80)+(9+16)}[/tex]

[tex]{:\implies \quad \sf 2(80)+(25)}[/tex]

[tex]{:\implies \quad \sf 160+25}[/tex]

[tex]{:\implies \quad \boxed{\bf 185}}[/tex]

Which expression is equivalent to 6(3h + g) ?
Group of answer choices

9h + g

18h + 6g

9h + 6g

18h + g

Answers

Answer:

18h × 6g is equivalent to 6(3h + g)

because 6 x 3 = 18 and 6 x 1 = 6

A certain type of steel is 65% iron. How many pounds of iron are in 120 pounds of this steel?

Answers

= 65% x 120 = 78 pounds of iron

Answer:

78

Step-by-step explanation:

65% of 120 = 78

Samir recorded the number of different types of pets his friends have in the table shown below:

Cats 2
Dogs 4
Rabbits 1
Guinea Pigs 4

Which of the following plots represents the data in the table?

Answers

Plot d because it’s the only 1 that has 2 cats and 1 rabbit

(3a+2b−7)−(4b−10) in standard form

Answers

Answer:  3a - 2b + 3

Step-by-step explanation:

(3a + 2b - 7) - (4b - 10)

open the bracket

3a + 2b - 7 - 4b + 10

combine like terms

3a + 2b - 4b - 7 + 10

3a - 2b + 3

Class A has 28 pupils and class B has 8 pupils.
Both classes sit the same maths test.
The mean score for class A is 34.
The mean score for class B is 78.
What is the mean score (rounded to 2 DP) in the maths test across both classes?

Answers

Answer:

43.78

Step-by-step explanation:

In this case, the formula for mean can be as followed:

[tex]mean = \frac{sum \: of \: all \: student \: scores}{number \: of \: students} [/tex]

Let the sum of all student scores for class A and class B be A and B respectfully,

For Class A,

A/28 = 34

A/28 = 34A = 952

For Class B,

B/8 = 78

B/8 = 78B = 624

Now to find the mean score of both classes using the same formula,

Mean = (952+624)/(28+8)

= 43.77777777777778

≈ 43.78

1 > -1/2x + 5 solve for x

Answers

Answer:

x is greater than 8

Step-by-step explanation:

which equation represents a line which is parallel to the line y=3/8x+7

Answers

Answer:

8x+3y=-6

Step-by-step explanation:

VA
P and Q are points on the line 3y - 4x = 12
a) Complete the coordinates of P and Q.
do
7
7
P (0,
1) Q(,0)
)
6
5|
b) Plot points P and Q on the graph.
Use the X tool to plot the coordinates.
41
31
c) Draw the line 3y - 4x = 12 for values
of x from -3 to 3.
21
1
2 3
-3 -2 -10
-1
NO

Answers

Answer:

Step-by-step explanation:

What is the value of q in the equation 59 - 10 = 75? ​

Answers

Answer:

[tex]\bf A)\;17[/tex]

Step-by-step explanation:

[tex]\tt 5q-10=75[/tex]

[tex]\tt 5q-10+10=75+10\;\; \bf\; Add\;10\:to\:both\:sides[/tex]

[tex]\tt 5q=85\;\;\;\bf Simplify[/tex]

[tex]\tt \cfrac{5q}{5}=\cfrac{85}{5}\;\;\; \bf Divide\:both\:sides\:by\:5[/tex]

[tex]\tt q=17\;\; \;\bf Answer[/tex]

------ " ☆ "

Equations, graphs, Slopes and y-intercepts : application

Answers

Answer:

the answer to the graph is y=-4x-3

Answer:

y = -4x - 3

Step-by-step explanation:

The given line has :-

slope = -4y-intercept = (0, -3)

Substituting in slope-intercept form

y = mx + by = -4x - 3

help SOS Stevie needed twine for the gifts she was wrapping for a family party.
lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?

Answers

Answer:

Your answer would be:

57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)

Point 2 1/4:

2

Point 2 3/4:

4

Point 3:

1

Point 3 1/2:

2

Point 3 3/4:

3

Point 4:

1

Point 4 1/4:

4

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer

What is the distance between (-2, 4) and (5, 4) on a coordinate grid?

Answers

Answer:

7 units

Step-by-step explanation:

(Background info, skip if not interested or needed for you)

The equation for distance on a cartesian plane coordinate system is based off the pythagorean theorem.

[tex]a^2 + b^2 = c^2[/tex]

a and b being sides of a right triangle, c being the hypotenuse.

When we are solving for distance we are solving for c essentially.

[tex]c[/tex] = [tex]\sqrt{a^2 + b^2}[/tex]

Because a and b are side lengths of the right triangle, we need to find a way to find that in terms of coordinates. So here we might say that a is equal to the horizontal distance between the 2 points or Δx, and we would say that b is the vertical distance between the 2 points Δy.

(solutions)

So essentially distance is:

[tex]d = \sqrt{(x_2 - x_1)^2+ (y_2-y_1)^2 }[/tex]

Now we just use the values given to us, and sub in the x and y values respectively.

(-2,4) [tex]x_1 = -2, y_1 = 4[/tex]

(5,4)[tex]x_2 = 5, y_2 = 4[/tex]

plug these values in:

[tex]d = \sqrt{((5) - (-2))^2+ (4-4)^2 } = \sqrt{(7)^2+ (0)^2 } = \sqrt{7^2 } = 7[/tex]

Therefore the distance is 7 units.

The pattern follows the "add one dot to the top of each column and one dot to the right of each row" rule. What will the 10th term be?

Answers

Answer:

what are the answers for a b c and d

(from Unit 5, Lesson 7) Below is a set of data about temperatures. The range of a set of data is the distance between the lowest and highest value in the set. What is the range of these temperatures? 9°C, -3°C, 22°C, -5°C, 11°C, 15°C Type your answer in the box below. The range of temperatures is .

Answers

27゚C

Given the temperatures, 9゚C, -3゚C, 22゚C, -5゚C, 11゚C, 15゚C, the range difference between the highest temperature and lowest temperature is 27゚C.

22゚C - (-5゚C) = 27゚C

find the value of x in the triangle shown below

Answers

the answer is c (x=15)...

[tex]\large\bold\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]

[tex]\\ \large \rm{↠Given \: triangle \: is \: right \: angled \: triangle .}[/tex][tex]\\\rm{Pythagorean \: Theorem \: states \: that} \\ \\ \large \rm{↠Hypotenuse = \sqrt {Altitude^{2} + Base ^{2} } } [/tex]

[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]

Here,

Hypotenuse = AC ( x )Altitude = AB ( 12 )Base = BC ( 9 )

[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]

[tex]\rm{↠Substituting \: values }[/tex]

[tex] \large\rm{↠AC= \sqrt {AB^{2} + BC ^{2} } } \\ \\ \large\rm{↠x = \sqrt{12 ^{2} + 9 ^{2} } } \\ \\ \large\rm{↠x = \sqrt{144 + 81} } \\ \\ \large\rm{↠x = \sqrt{225} } \\ \\ \large\rm{↠x =15 }[/tex]

Option C ✓

[tex] \underline{\rule{100mm}{3.2pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Need help! Here's the question...
John invests £8000 for n years in a savings account.
To find the value, V ,of her investment after n years he uses the formula:
V=8000*(1.025)^n
a)Write down the annual rate of interest John earns

Answers

Answer:

the answer is 2.5%

Step-by-step explanation:

im good at math

Hope this helps!

Of the students at Milton Middle School, 126 are girls. If 45% of the students are girls, how many total students are there at Milton Middle school?

The answer choices are:
A: 140
B: 210
C: 280
D: 350

Answers

Answer:

C

Step-by-step explanation:

[tex].45s = 126[/tex]

[tex]s = 280[/tex]

Write the equation of the circle centered at (3, 5) and tangent to x = -1. I need help pleasse

Answers

Answer:

(x - 3)² + (y - 5)² = 16

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

given (h, k ) = (3, 5 ) we require to find r

r is the distance from the centre to a point on the circle

given x = - 1 is a tangent the r is the distance between the x- coordinates

r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4

then equation of circle is

(x - 3)² + (y - 5)² = 4² , that is

(x - 3)² + (y - 5)² = 16

What is the surface area of a sphere with a 4 ft diameter (round to 1 decimal)?
A) 12.6 ft2
B) 16.7ft2
C) 50.2 ft2
D) 100 ft2​

Answers

Radius=Diameter/2Radius=r=4/2=2ft

TSA:-

4πr²4π(2)²3.14(4)(4)16(3.14)59.24ft²

PLS I NEED HELP


What are some details from the essay "Names/Nombres" that support the central idea and Alvarez's feelings on the central idea? List at least three examples of text from the essay.

Answers

The main idea of the essay is her migration process to the United States and their interaction with Americans.

What is Julia Alvarez's essay about?

Julia Alvarez's essay "names" refers to her and her family's migration process from her country of origin to the United States.

Once living in the United States, Julia identifies that American citizens do not know how to pronounce their names correctly due to the language difference between the two societies.

This problem is reinforced by these arguments:

At the hotel my mother was Missus Alburest, and I was a little girl, as in, “Hey, little girl, stop riding the elevator up and down. It's not a toy." the super called my father Mister Alberase.But at school I was Judy or Judith, and once an English teacher mistook me for Juliet.

Learn more about essays in: https://brainly.com/question/1556386

2. Victor Larson had fixed costs totaling $2,805.60 last year, not
including depreciation. His variable costs totaled $1,870.40. His
3-year-old automobile cost $24,890.00 new and is now worth
$12,290.00. Larson drove his vehicle 16,700 miles last year. What
was his depreciation? What was his cost per mile?

Answers

The depreciation of the car is $12,600.

The cost of the car per mile is $0.28

What is the depreciation of the car?

Depreciation is the decline in the value of an asset as a result of wear and tear.

Depreciation = cost of the asset - value of the asset now

$24,890 - $12,290 = $12600

What is the cost per mile?

Cost per mile = total cost / total mile

($2,805.60  + $1,870.40) / 16700 = $0.28

To learn more about depreciation, please check: https://brainly.com/question/25552427

help me pls i’ll reward brainliest

Answers

Answer:

D. 288π

Step-by-step explanation:

Volume = [tex]\frac{4}{3}[/tex]π[tex]r^3[/tex]

A = π [tex]\frac{4}{3} (6)^3[/tex]

A = π [tex]\frac{4}{3} (216)[/tex]

A = 288π

I hope this helps!

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