Use the diagram to complete the statement. Triangle J K L is shown. Angle K J L is a right angle. Angle J K L is 52 degrees and angle K L J is 38 degrees. Given △JKL, sin(38°) equals cos(38°). cos(52°). tan(38°). tan(52°).

Answers

Answer 1

Answer:

[tex]\bold{sin(38^\circ)=cos(52^\circ)}[/tex]

Step-by-step explanation:

Given that [tex]\triangle KJL[/tex] is a right angled triangle.

[tex]\angle JKL = 52^\circ\\\angle KLJ = 38^\circ[/tex]

and

[tex]\angle KJL = 90^\circ[/tex]

Kindly refer to the attached image of [tex]\triangle KJL[/tex] in which all the given angles are shown.

To find:

sin(38°) = ?

a) cos(38°)

b) cos(52°)

c) tan(38°)

d) tan(52°)

Solution:

Let us use the trigonometric identities in the given [tex]\triangle KJL[/tex].

We have to find the value of sin(38°).

We know that sine trigonometric identity is given as:

[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]sin(\angle JLK) = \dfrac{JK}{KL}\\OR\\sin(38^\circ) = \dfrac{JK}{KL}[/tex]....... (1)

Now, let us find out the values of trigonometric functions given in options one by one:

[tex]cos\theta =\dfrac{Base}{Hypotenuse}[/tex]

[tex]cos(\angle JLK) = \dfrac{JL}{KL}\\OR\\cos(38^\circ) = \dfrac{JL}{KL}[/tex]....... (2)

By (1) and (2):

sin(38°) [tex]\neq[/tex] cos(38°).

[tex]cos(\angle JKL) = \dfrac{JK}{KL}\\OR\\cos(52^\circ) = \dfrac{JK}{KL}[/tex] ...... (3)

Comparing equations (1) and (3):

we get the both are same.

[tex]\therefore \bold{sin(38^\circ)=cos(52^\circ)}[/tex]

Use The Diagram To Complete The Statement. Triangle J K L Is Shown. Angle K J L Is A Right Angle. Angle
Answer 2

Answer:

B in EDG

Step-by-step explanation:


Related Questions

Meguel does not understand which digit is in the tenths location in the number 514.196 Where would it be located at

Answers

Answer:

first number after the decimal point

Step-by-step explanation:

after the decimal point is the tenths, hundredths, and thousandths place.

0.1 - tenths

0.09 - hundredths

0.006 - thousandths

Someone pls help me . I also need to show work just in case my teacher ask me to send her a photo of my notebook .

Answers

Answer:  (i) 3

(ii) 10

(iii) 1080

Step-by-step explanation:

(i) Coefficient is the number written before any variable.

Coefficient of x in [tex]3x+10=36[/tex] is 3.

(ii) Constant is a numerical term written without any variable.

Constant in [tex]2x+10=5x[/tex] is 10.

(iii) Let x be the number of miles Katie's family drive.

Since they charge $30 combined with $0.25 per mile drive.

So, Total charge = 0.25 x +30 ( in dollars)

If they charged $300, then

[tex]0.25 x +30 =300[/tex]

Subtract 30 from both sides, we get

[tex]0.25x=270[/tex]

Divide both sides by 0.25, we get

[tex]x=1080[/tex]

Hence, Katie drove 1080 miles.

When a number is divided by 9 and its quotient is 12 and a remainder of 2

Answers

Answer:

Step-by-step explanation:

_____ / 9

2/12

Multiply the divisor (9) by the quotient (12) and to the result add the remainder (2).

9 × 12 + 2 =

108 + 2 = 110

110 is the number divided.

110/9

20/12

2

Shawna, Dexter, and Tilana are solving the equation Negative 2.5 (5 minus n) + 2 = 15. Shawna says, "I can begin by dividing each side of the equation by –2.5 to get 5 minus n minus StartFraction 2 over 2.5 EndFraction = Negative StartFraction 15 over 2.5 EndFraction." Dexter says, "I can begin by distributing Negative 2.5 to get Negative 12.5 + 2.5 n + 2 = 15." Tilana says, "I can begin by multiplying each side of the equation by Negative StartFraction 1 over 2.5 EndFraction to get 5 minus n minus 0.8 = negative 6." Which students are correct? only Shawna and Tilana only Shawna and Dexter only Dexter and Tilana Shawna, Dexter, and Tilana

Answers

Answer:

All three students are correct

Step-by-step explanation:

Given

Equation: -2.5(5 - n) + 2 = 15

Required

Which students are correct

To determine which of the students are correct; we have to test each of their solutions

SHAWNA

Statement: Dividing each side of the equation by –2.5 to get 5 - n - 2/2.5 = -15/2.5

[tex]\frac{-2.5(5 - n) + 2}{-2.5} = \frac{15}{-2.5}[/tex]

Split fractions

[tex]\frac{-2.5(5 - n)}{-2.5} + \frac{2}{-2.5} = \frac{15}{-2.5}[/tex]

Simplify each fraction

[tex]5-n - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]

Shawna is correct...

DEXTER

Statement: Distributing -2.5 to get -12.5 + 2.5 n + 2 = 15.

[tex]-2.5(5 - n) + 2 = 15[/tex]

Open brackets

[tex]-12.5 + 2.5n + 2 = 15[/tex]

Dexter is also correct...

TILANA

[tex]\frac{-1}{2.5}(-2.5(5 - n) + 2) = \frac{-1}{2.5} * 15[/tex]

Open brackets

[tex]\frac{-1}{2.5}(-2.5(5 - n)) + \frac{-1}{2.5}(2) = \frac{-1}{2.5} * 15[/tex]

Simplify each bracket

[tex](5 - n) + \frac{-2}{2.5} = \frac{-15}{2.5}[/tex]

[tex](5 - n) - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]

[tex]5 - n - 0.8 = -6[/tex]

Tilana is also correct

Hence, all three students are correct

Answer:

All of them are correct

Step-by-step explanation:

need help please will give good rating and show work

Answers

Step-by-step explanation:

u just need to imagine it was x^2-17X+16 in the beginning and add square onto the x after u factorise. then solve the x. hope it helps

The solutions to (x + 3)^2- 4=0 are x = -1 and x = -5

True or false

Answers

Answer:

THE ANSWER WOULD BE TRUE MY FRIEND

Select the correct answer.
The function g(x) = x^2 is transformed to obtain function h:
h(x) = g(x-3).
Which statement describes how the graph of h is different from the graph of g?
А. The graph of h is the graph of g horizontally shifted left 3 units.
B. The graph of h is the graph of g vertically shifted up 3 units.
C. The graph of his the graph of g vertically shifted down 3 units.
D. The graph of h is the graph of g horizontally shifted right 3 units.

Answers

Answer:

B The graft of h is the graft of g vertically shifted up 3 units

Evaluate 1 3 m − 1 − 1 2 n 3 1 ​ m−1− 2 1 ​ nstart fraction, 1, divided by, 3, end fraction, m, minus, 1, minus, start fraction, 1, divided by, 2, end fraction, n when m = 2 1 m=21m, equals, 21 and n = 1 2 n=12n, equals, 12.

Answers

Answer:

  0

Step-by-step explanation:

Apparently, you want the value of ...

  [tex]\dfrac{1}{3}m-1-\dfrac{1}{2}n = \dfrac{m}{3}-\dfrac{n}{2}-1\\\\=\dfrac{21}{3}-\dfrac{12}{2}-1=7-6-1\\\\=\boxed{0}[/tex]

The value of the given expression for the given variable values is zero.

Help? Hello Help me please

Answers

Answer:

  $562.75

Step-by-step explanation:

The future value formula is good for this.

  FV = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years.

Using your numbers, we find the account value to be ...

  FV = $500(1 +.06/2)^(2·2) = $500·1.03^4 ≈ $562.75

There will be $562.75 in the account after 2 years.

jika pola barisan aritmatika adalah -18,-22,-26,-30, maka u20 + u 22 adalah​

Answers

Answer:

-196

Step-by-step explanation:

Di sini, berdasarkan urutan aritmatika, kita ingin mencari nilai dari suku ke-22 ditambah suku ke-20.

Dari urutan tersebut, kita bisa membuat beberapa potongan.

Suku pertama a dari barisan tersebut adalah -18 Perbedaan persekutuan d = -22 - (- 18) = -22 + 18 = -4

Untuk menghitung suku ke-20, kita menggunakan rumus untuk suku ke-n dari sebuah barisan, di mana n = 20

U20 = a + (20-1)

d U20 = -18 + 19 (-4) = -18 - 76 = -94

U22 = a + (22-1) d

U22 = -18 + 21d U22 = -18 + 21 (-4) U22 = -18 - 84 = -102 Jadi;

U22 + U20 = -102 + (-94) = -196

20. A pool holds 1440 CUBIC feet of water, the aty
charges $). 15 per cubic meter of water
used now, much will it cost to fill the pool?

Answers

Complete question :

A pool holds 1440 cubic feet of water, the city charges $1.75 per cubic meter of water used.

How much will it cost to fill the pool?

Answer:

$71.36

Step-by-step explanation:

Amount charged per cubic meter = $1. 75

Total volume of pool = 1440 ft^3

Using the conversion unit chart :

1 cubic meter = 35.3147 cubic foot

Then we can express the capacity of water held by the pool in cubic metre.

If 1 cubic meter = 35.3147 cubic foot

Then ;

y cubic meter = 1440 cubic foot

y = 1440/35.3147

y = 40.776220 cubic meter

Thus;

Cost of filling the pool will be;

$1.75 × 40.776220

= $71.358386

= $71.36

The formula for the area of a square is sº, where s is the side length of the square. What is
area of a square with a side length of 6 centimeters? Do not include units in your answer.

Answers

36

Just multiply the side lengths together to find area

Answer:

36

Step-by-step explanation:

The formula for the area of a square is s², where s is the side length of the square.

If a square with a side length of 6 centimeters then we get,

S = 6

Now, Area of square

= s² = (6)² = 36

can someone please help me with this !!

Answers

Answer:

x=3

Step-by-step explanation:

5/2 ( 3x-1) = 20

Multiply each side by 2/5

2/5 ( 5/2 ( 3x-1) )= 20 *2/5

3x-1 = 8

Add 1 to each side

3x-1+1 = 8+1

3x = 9

Divide each side by 3

3x/3 = 9/3

x =3

So do first what is in the ( ) and at the end when I did the math I got x=3

Y=-5x+30 x=10 what is the solution to the system of equations 1)(-20,10) 2)(10,-20) 3)(10,4) 4)(4,10)

Answers

Answer:

            2) (10, -20)

Step-by-step explanation:

y = - 5x + 30  and  x = 10  ⇒  y = -5•10 + 30 = -50 + 30 = -20

x = 10  and y = -20   ⇒  (10, -20)

Answer:

Its B. (10, –20)

Step-by-step explanation:

I just took the quiz on edge

Lines T U and R S intersect lines M N and P Q. Where line T U intersects with lines M N and P Q, right angles are formed. Lines M N and P Q are straight lines that are next to each other and they will never intersect. Lines T U and R S are next to each other and could intersect. Which two statements are both true?

Answers

c. Tu | MN and MN || PQ I am done with the interview

the number ten is raised to a power between 0 and 1. The answer has to be between which two numbers?

Answers

Any number raised to 0 is equal to 1
And any number raised to 1 is the same number

   Value of [tex]10^x[/tex] will be between 1 and 10.

 Given in the question,

A number [tex]10^x[/tex] where, 0 < x < 1

If we have to find the range of the value of the number, substitute x = 0 and 1

[tex]10^0=1[/tex]

[tex]10^1=10[/tex]

  Therefore, value of [tex]10^x[/tex] will vary between 1 and 10.

Learn more,

https://brainly.com/question/19465964

Mele earned scores of 75, 70, 92,95, and 97 points (a
total of 429 points) on the first 5 tests in Economics II
Solving which of the following equations for s gives
the score he needs to earn on the 6th test to average
exactly 85 points for all 6 tests?
+5=85
F. 429
G. 429
H. + 429
+5 = 85
= 85
J. S+429
= 85
6
K. S+ 429
85
100

Answers

Answer:

The equation for S which gives the score he needs to earn on the 6th test to average exactly 85 points for all 6 tests is;

S + 429 = 85 × 6

Step-by-step explanation:

The parameters given are;

The scores earned by Mele on the first five test in Economics II are;

75, 70, 92, 95, and 97 points

The total test points = 429 points

Therefore, the score, S, Mele needs to earn on the 6th test for him to get an average of exactly 85 points for the 6 tests is found as follows;

From the definition of average, μ = (Sum of data values)/(Number of data)

Sum of data values = S + 429

The number of data = 5 test + 6th test =  6

μ = 85 = (S + 429)/6

Therefore;

S + 429 = 85 × 6

Therefore, the equation for S which gives the score he needs to earn on the 6th test to average exactly 85 points for all 6 tests is S + 429 = 85 × 6.

#5 Find the distance between the points on the graph.

Answers

Answer:

approximately 12.04 units

Step-by-step explanation:

We'll use the Pythagorean Theorem to solve this problem.

There are two points here.  The horizontal distance between them is 8 units and the vertical distance is 9.

According to the Pythagorean Theorem (or the Distance Formula), the distance between the two points is

d = √(8^2 + 9^2) = √(64 + 81) = √145 units, or approximately 12.04 units.

Find the area of the shaded region

A. 12 ft^2
B. 36 ft^2
C. 40.5 ft^2
D. 18 ft^2

Answers

Answer:

The shaded area is 18 ft^2

Step-by-step explanation:

First find the area of the total trapezoid

A = bh

A = 1/2 ( b1+b2) *h

   = 1/2 ( 6+12) *6

   = 1/2 ( 18)*6

   =54

Now find the area of the triangle

A = 1/2 bh

   = 1/2 ( 12) * 6

   = 36

Subtract the triangle from the trapezoid

54-36

18

The shaded area is 18 ft^2

Answer:

D. 18 sq.ft

Step-by-step explanation:

Lets make it simple and short.

Area of a triangle is 1/2 b h

b = 6

h = 6

Area = 1/2 * 6 * 6

Area = 18 sq.ft

3.3. (08.01 LC) Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi. (4 points) . 4. (08.01 MC) Given a cube with a volume of 27 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube? (4 points)

Answers

Answer:

1. C = 10π, A = 25π

2. 9 cm³

Step-by-step explanation:

Formula for circumference = πd

Formula for area of a circle = πr²

1. Set up the equation for circumference

10π

2. Set up the equation for area (radius = 1/2diameter) and solve

π(5²) = 25π

Formula for volume of a square pyramid = 1/3 · h

The volume of a square pyramid is equal to 1/3 of the volume of a cube. The formula for a volume of a cube is s³ which is equal to s² · h because a cube has the same side length for all sides. Therefore, the volume of a square pyramid that perfectly fits within a given cube would equal 1/3 the volume of the cube.

1. Set up the equation and solve

27 ÷ 3 = 9

Answer:

            3.  The fourth:  C= 10π,  A = 25π             4.   The third:  9 cm³

Step-by-step explanation:

3.

diameter is equal two radiuses

D = 10 = 2R   ⇒  R = 5

circumference:  C = 2πR = 2R•π = 10π

area:                    A = πR² = π•5² = 25π

4.

If square pyramid fit perfectly inside cube then its base is the same as a face of cube, and the height (H) of pyramid is equal to the edge (S) of its base.

[tex]A_p=\frac13S^2\cdot H =\frac13S^2\cdot S=\frac13S^3=\frac13A_c=\frac13\cdot27\,cm^3=9\,cm^3[/tex]

Find the value of a.
3a-9=15​

Answers

Answer:

a = 8

Step-by-step explanation:

3a - 9= 15

To solve the equation send the constants to the right side of the equation

That's

3a = 15 + 9

simplify

3a = 24

Divide both sides by 3

[tex]\frac{3a}{3} = \frac{24}{3}[/tex]

The final answer is

a = 8

Hope this helps you

Answer:

a = 8

Explanation:

Step One - Add nine to both sides of the equation. This is the first step is to isolate the variable, a. This step will remove the negative nine from the equation.

3a - 9 = 15

3a - 9 + 9 = 15 + 9

3a = 24

Step 2 - Divide both sides of the equation by three. This is the last step to isolate the variable, a.

3a = 24

3a/3 = 24/3

a = 8

Since we have fully isolated the variable, a, we have determined its value.

Therefore, in the equation 3a - 9 = 15 the value of the variable is a = 8.

Find the value of a.

Answers

Answer: See below

Explanation:

6a + 11 = 2a + 83
6a - 2a = 83 - 11
4a = 72
a = 72/4
a = 18
Answer:

a = 18°

Step-by-step explanation:

we have opposite angles =>

=> 6a + 11 = 2a + 83

6a - 2a = 83 - 11

4a = 72

a = 72 : 4

a = 18°

what is 136 1/50% of 231

Answers

Answer:

Step-by-step explanation:

136 1/50 % of 231 = 6801/50 % * 231

                             [tex]=\frac{6801}{50*100}*231\\\\\\=\frac{1571031}{5000}[/tex]

                             = 314.2062

what do you think would happen to a person if mortor neuron from the grey matter of spinal cord is removed?​

Answers

Step-by-step explanation:

Introduction

Until World War II, a serious spinal cord injury (SCI) usually meant certain death. Anyone who survived such injury relied on a wheelchair for mobility in a world with few accommodations and faced an ongoing struggle to survive secondary complications such as breathing problems, blood clots, kidney failure, and pressure sores. By the middle of the twentieth century, new antibiotics and novel approaches to preventing and treating bed sores and urinary tract infections revolutionized care after spinal cord injury. This greatly expanded life expectancy and required new strategies to maintain the health of people living with chronic paralysis. New standards of care for treating spinal cord injuries were established: reposition the spine, fix the bones in place to prevent further damage, and rehabilitate disabilities with exercise.

Today, improved emergency care for people with spinal cord injuries, antibiotics to treat infections, and aggressive rehabilitation can minimize damage to the nervous system and restore function to varying degrees. Advances in research are giving doctors and people living with SCI hope that spinal cord injuries will eventually be repairable. With new surgical techniques and developments in spinal nerve regeneration, cell replacement, neuroprotection, and neurorehabilitation, the future for spinal cord injury survivors looks brighter than ever.

Write an equation to model the distance between the point (2,4) and any point along the curve
y=4x3 + 1.

Answers

Answer:

Distance D = √ [(2 - x)^2 + (3 - 4x^3)^2].

Step-by-step explanation:

Use the distance formula:

D = √[(x2 - x1)^2 + (y2 - y1)^2].

So here it is

D = √[(2 - x)^2 + (4 - y)^2]    where x,y is any point on the curve.

D = √[2 - x)^2 + (4 - (4x^3 + 1))^2]

D = √ [(2 - x)^2 + (3 - 4x^3)^2]

the points (-2,1), (1,1), (0,-2), and (-3,-2) are vertices of a polygon. what type of polygon is formed by these points? A. rectangle B. square C. pentagon D. parallelogram

Answers

Answer:

[tex]\boxed{\sf D. \ Parallelogram}[/tex]

Step-by-step explanation:

When we graph the points, the polygon is a quadrilateral with opposite parallel sides. The type of polygon formed by these points is a parallelogram.

Answer:

Parallelogram

Step-by-step explanation:

We'll graph all of the points from which we'll come to know that it is a parallelogram having opposite sides equal and parallel.

See the attached file for more understanding.

PLS HELP I WILL GIVE BRAINLIST AND A THANK YOU!!!!! :)

Answers

Answer:

A

Step-by-step explanation:

Both angles together are supplementary, or they add up to 180 degrees.

(3x+12)+x=180 degrees

Answer:A. (3x+12)+x=180

Step-by-step explanation:

(t)What is the difference between
{2, 3} and {{2, 3}}?

Answers

Answer:

[tex]\boxed{\mathrm{view \ explanation}}[/tex]

Step-by-step explanation:

{2, 3} is a set consisting of two elements. The two elements are the numbers 2 and 3.

{{2, 3}} is a set consisting of one element. That one element is the set {2, 3}.

Tuesday 8 hours and 18 hours minutes Wednesday 7 hours and 54 minutes how many hours did Brett work in total this week

Answers

Answer:

(if you just add them together), it is 16 hours and 12 minutes

Step-by-step explanation:

8 hours plus 7 hours is 15 hours. 54 minutes plus 6 minutes is another hour. We then have 12 minutes left over. This could also be 16 1/5 hrs.

4 - Q = -2 what is Q

Answers

Answer:

Q = 6

Step-by-step explanation:

Step 1: Write equation

4 - Q = -2

Step 2: Subtract 4 on both sides (Subtraction Equality)

-Q = -6

Step 3: Divide -1 on both sides (Division Equality)

Q = 6

And we have our answer!

Answer:

[tex] \boxed{Q = 6}[/tex]

Step-by-step explanation:

[tex] \mathrm{4 - Q = - 2}[/tex]

Move constant to R.H.S and change its sign

[tex] \mathrm{ - Q = - 2 - 4}[/tex]

Calculate

[tex] \mathrm{ - Q = - 6}[/tex]

Change the signs on both sides of the equation

[tex] \mathrm{Q = 6}[/tex]

Hope I helped!

Best regards!

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