Triangle L J K is shown. Angle J L K is a right angle. The length of the hypotenuse is 15 inches and the length of the side adjacent to the right angle is 10 inches. The angle between the 2 sides is x. Which equation can be used to find the measure of angle LJK? sin(x) = Ten-fifteenths sin(x) = Fifteen-tenths cos(x) = Ten-fifteenths cos(x) = Fifteen-tenths

Answers

Answer 1

Answer:

  cos(x) = Ten-fifteenths

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the relation between the adjacent side and the hypotenuse is ...

  Cos = Adjacent/Hypotenuse

  cos(x) = 10/15

Answer 2

Answer:

c

Step-by-step explanation:


Related Questions

can i help please??? :) Is 3.22×10 to the 4 power equal to 32,200?

Answers

Answer:

Yes

Step-by-step explanation:

we move the decimal point 4 times to the right

1st time

32.2

2nd time

322

3rd time

3220

4th time

32,200

Answer:

No

Step-by-step explanation:

3.22 x 10 = 32.2

32.3 to the fourth power = 107.50

107.50 < 32,200

Therefore it is not equal to 32,200

Use the formula for the volume of a cylinder to find the volume of a water tank (in ft with a radius of 15 feet and a height of 35 feet. Round to two decimal places.

Answers

Answer:

24,740.04 ft³

Step-by-step explanation:

Use the cylinder volume formula, V = [tex]\pi[/tex]r²h, where r is the radius and h is the height.

Plug in the values and solve for V:

V = [tex]\pi[/tex](15²)(35)

V = 24740.04215

Round:

V = 24,740.04 ft³

The volume of a water tank will be; 24,740.04 ft³.

What is the volume of a cylinder?

The volume of the cylinder is the product of the height, pie, and square of the radius.

The volume of the cylinder =  πr²h

where r is the radius and h is the height.

We have been given a cylinder that has a radius of 15 feet and a height of 35 feet.

We need to find the volume of a water tank.

Now Plug in the values and solve for V:

V = π(15²)(35)

V = 24740.04215

Round: V = 24,740.04 ft³

Hence, the volume of a water tank will be; 24,740.04 ft³.

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Point B is on line segment AC. Given BC=9 and AB=11, determine the length AC.

Answers

Answer:

20

Step-by-step explanation:

If point B is on line segment AC, then we know for sure AB + BC = AC.

To understand this better, draw a line segment, then put a point anywhere on the line segment. There are two line segment divided by that point. If you combine those two line segments then you have your original figure.

So 11 + 9 = 20.

Find the values of the apple, banana and lollypop below.

Pls help

Answers

Answer:

a= Apple = 3

b= Banana =5

v= Lollypop=1

Step-by-step explanation:

36 is divided into 2 giving us 18

Let apple=a

Banana=b

Lollypop=c

In the first half

An apple + 3 bananas=18

a+3b=18 (1)

Second half is further divided into 2

That is,

18÷2=9

First half of the second half

3apples=9

3a=9 (2)

Second half of the second half

1 apple + 1 banana + 1 lollypop=9

a+b+c=9 (3)

a+3b=18 (1)

3a=9 (2)

a+b+c=9 (3)

From (2)

3a=9

Divide both sides by 3

a=9/3

a=3

Substitute a=3 into 1

a+3b=18

3+3b=18

3b=18-3

3b=15

Divide both sides by 3

b=15/3

=5

b=5

Substitute the value of a and b into (3)

a+b+c=9

3+5+c=9

8+c=9

c=9-8

c=1

Therefore,

a= Apple = 3

b= Banana =5

v= Lollypop=1

HELP ME PLEASE ASAP! Zoe is making a quilt. The ratio of red squares to green squares is 2 to 3. She uses a total of 55 squares. How many green squares does she use?

Answers

Answer:

33

Step-by-step explanation:

For every 5 squares, two are red and three are green.  So 3/5 of the squares are green.

3/5x55=33

rewrite 1/5:1/2 as a unit rate

Answers

Hey there! I'm happy to help!

The unit rate is how much stuff there is per 1 unit. All ratios can be rewritten as fractions, this one could be 0.2/0.5. The word per means divide, and fractions are basically dividing. So, we want the denominator to be 1.

To get 0.5 to 1, we multiply by 2. So, we will multiply the fraction by 2/2.

0.2/0.5(2/2)=0.4/1

Therefore, the unit rate is 0.4/1 or 0.4:1 or 0.4 per 1.

Have a wonderful day! :D

4x=24 solve equation

Answers

Answer:

x=6

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x-(24)=0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  4x - 24  =   4 • (x - 6)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true

2.1      Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    x-6 = 0

Add  6  to both sides of the equation :

                     x = 6

One solution was found :

x = 6

Answer:

x= 24/ 4

Step-by-step explanation:

You can simplify it

x= 6/1 which is x= 6

Pranav and Trevon each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Pranav spent $74 on 1 daylily and 9 bunches of
ornamental grass. Trevon spent $114 on 1 daylily and 14 bunches of ornamental grass. What is the cost of one daylily and the cost of one bunch of ornamental grass?

Answers

Answer:

Day lilies and ornamental grass are $2, $8 respectively

Step-by-step explanation:

step one

we need to represent the scenario with a system of equation

let day lilies be represented with x

and ornamental grass be y

Hence we have

[tex]x+9y= 74--------1\\x+14y= 114------2[/tex]

Let us subtract 1 from 2 we have

[tex]x+14y= 114------2\\\\\\ -(x+9y= 74--------1\\=0+5y= 40[/tex]

Dividing both sides by 5 we have

y= 40/5

y= 8

step 2

Substitute y = 8 in equation 1 we have

x+9(8)= 74

x+72= 74

x=74-72

x= 2

Day lilies and ornamental grass are $2, $8 respectively

What is 100,000+4,000+800+5 in standard form

Answers

Answer: 104,805

Step-by-step explanation:

just add

Answer:

104,805

Step-by-step explanation:

add it in each placement form

Simplify

[tex] \frac{7xy}{ {x}^{2} - 4x + 4 } \div \frac{14y}{ {x}^{2} - 4} [/tex]
I will mark it as the brainliest please answer this question​

Answers

Answer:

The answer is

[tex] \frac{ {x}^{2} + 2x}{2x - 4 } [/tex]

Step-by-step explanation:

[tex] \frac{7xy}{ {x}^{2} - 4x + 4 } \div \frac{14y}{x^{2} - 4} [/tex]

To simplify , factorize

x² - 4x + 4 and x² - 4

For x² - 4x + 4

Write - 4x as a difference

x² - 2x - 2x + 4

x( x - 2) - 2(x - 2)

(x - 2)(x - 2)

For x² - 4

use the formula

a² - b² = ( a+b)( a - b)

That's

x² - 4 = (x + 2)(x - 2)

So now we have

[tex] \frac{7xy}{(x - 2)(x - 2)} \div \frac{14y}{(x + 2)(x - 2)} [/tex]

Change the division sign to multiplication sign and reverse the second fraction

That's

[tex] \frac{7xy}{(x - 2)(x - 2)} \times \frac{(x + 2)(x - 2)}{14y} [/tex]

Simplify

We have

[tex] \frac{x}{(x - 2)(x - 2)} \times \frac{(x + 2)(x - 2)}{2} [/tex]

Reduce the expression with x + 2

That's

[tex] \frac{x}{x - 2} \times \frac{x + 2}{2} [/tex]

Multiply the fractions

[tex] \frac{x(x + 2)}{2(x - 2)} [/tex]

We have the final answer as

[tex] \frac{ {x}^{2} + 2x }{2x - 4} [/tex]

Hope this helps you

Please Solve this, it would be extremely helpful for me.
[tex]{\tt{\fbox{\red{Trigonometry}}}}[/tex]

In the figure given below,

AB ll EF ll CD. If AB = 22.5 cm,

EP = 7.5 cm, PC =15 cm and

DC = 27 cm. Calculate:

(i) EF (ii) AC

Answers

Answer:

Step-by-step explanation:

1) ΔCPD & ΔEPF

∠CPD = ∠EPF   { Vertically opposite angles}

∠CDP = ∠PFE {CD║EF, FD is transversal, Alternate interior angles are equal}

ΔCPD ≈ΔEPF  {AA criteria for similarity }

[tex]\frac{DC}{EF} =\frac{PC}{EP}\\\\\\\frac{27}{EF}=\frac{15}{7.5}\\\\[/tex]

Cross multiply

EF * 15 = 27 * 7.5

[tex]EF =\frac{27*7.5}{15}\\\\[/tex]

EF = 27 * 0.5

EF = 13.5 cm

ii) EF // AB, so Triangles ACB & ECF are similar triangles

[tex]\frac{AB}{EF}=\frac{AC}{EC}\\\\\frac{22.5}{13.5}=\frac{AC}{22.5}[/tex]

[tex]AC= \frac{22.5*22.5}{13.5}\\\\AC=37.5 cm[/tex]

AC = 37.5 cm

Convert the following:
1 meter is equivalent to
ao feet (rounded to the nearest hundredth)

Answers

Answer:

1 meter = 3.28 feet

Step-by-step explanation:

The unit of conversion from meters to feet is given as follows;

By convention

1 yard = 09144 meters

1 yard = 3 feet

Therefore, we have;

1 foot = 0.9144/3 = 0.3048 m

Alternatively we can get;

1 inch = 0.0254 meters

1 foot = 12 inches

Therefore, we have;

1 foot = 12 × 0.0254 = 0.3048 meter

Which gives;

1 foot = 0.3048 meter

Given that 0.3048 meter = 1 foot, to find the measure of 1 meter, we proceed by dividing both sides of the equation by 0.3048 to get

0.3048/0.3048 meter = 1/0.3048 foot = 3.28084 feet

1 meter = 3.28084 feet. ≈ 3.28 feet to the nearest hundredth

The chance of Jake winning a 100m race is 3/5. What is the probability of him losing the same race​?

Answers

Answer:

2/5 (because the chance winning the race is 3/5 and the remaining is 3/5 when we add 3/5 , 2/5 the answere is 5/5 when we subtract 3/5 from 5/5 the answere is 2/5

The Side-Side-Side Similarity Postulate states that if the sides of one triangle are congruent to the sides of another triangle, then the triangles are similar. True or False?

Answers

Answer:

Hey there!

This is false, because if the sides of one triangle are congruent to the sides of another, then the triangles are actually congruent. The Side-Side-Side similarity theorem states that if all three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar.

Hope this helps :)

ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer:

Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD.

Step-by-step explanation:

The Inscribed Angle Theorem proves that an inscribed angle is half the measure of a central angle, if both the inscribed angle and the central angle intercepts the same arc.

Also, according to the inscribed angle theorem, an inscribed angle is ½ of the measure of the arc it intercepts.

Therefore, m<CBD is half of m<CAD, or half of the measure of the arc CD that they both intercept together.

Thus, m<CBD = 55°, which is ½ of m<arc CD.

m<arc CD = 110° = m<CAD.

m<CBD = ½ of m<CAD = 55°.

The statement that best describes the relationship between <CBD and <CAD is "Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD."

really urgent...i need the working also ...pls help me​

Answers

Answer:

See below.

Step-by-step explanation:

In each case, you are looking for time. We know speed is distance divided by time. Lets start with the speed formula.

speed = distance/time

Now we solve it for time. Multiply both sides  by time and divide both sides by speed.

speed * time = distance

time = distance/speed

Time is distance divided by speed. In each problem, you have a speed and a distance. Divide the distance by the speed to to find the time.

1) speed = 44.1 km/h; distance = 150 km

time = distance/speed = 150 km/(44.1 km/h) =

= 3.401 hours = 3 hours + 0.401 hour * 60 min/hour = 3 hours 24 minutes

2) speed = 120 km/h; distance = 90 km

time = distance/speed = 90 km/(120 km/h) =

= 0.75 hours = 0.75 hour * 60 min/hour = 45 minutes

3) speed = 125 m/s; distance = 500 m

time = distance/speed = 500 m/(125 m/s) =

= 4 seconds

PLEASE HELP! I WILL GIVE BRAINLIEST (8.02 MC) A pair of equations is shown below: y = 7x − 9 y = 3x − 1 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)

Answers

Answer:

Step-by-step explanation:

slope intercept form: y=mx+b

m= slope

b= y-intercept

y= 7x - 9

slope= 7

y-int.= -9

y= 3x - 1

slope 3

y-int.= -1

7x-9 = 3x-1

Add 9 to both sides: 7x = 3x +8

Subtract 3 from both sides: 4x = 8

Divide by 4 on both sides: x =2

Substitute 8 into the equation: y = 3(2) -1

y = 5

Solution: (2,5)

Which equation can be used to solve for x in the following diagram?
PLS ANSWER I NEED HELP BRAINLIST AND A THANK YOU WILL BE REWARDED























Answers

Answer:

D. 4x+5x=180

Step-by-step explanation:

   

Answer:

D. 4x + 5x = 180

Step-by-step explanation:

The two angles form a straight line and a straight line equals 180°. So, the sum of the two angles has to equal 180°.

4x + 5x = 180

9x = 180

x = 20°

Hope that helps.


[tex]12 \times \frac{5}{6} - 14x + \frac{1}{6} x[/tex]
can anyone help me solve this !​

Answers

Answer:

x = 60/83

Step-by-step explanation:

Solve for x:

10 - (83 x)/6 = 0

Put each term in 10 - (83 x)/6 over the common denominator 6: 10 - (83 x)/6 = 60/6 - (83 x)/6:

60/6 - (83 x)/6 = 0

60/6 - (83 x)/6 = (60 - 83 x)/6:

(60 - 83 x)/6 = 0

Multiply both sides of (60 - 83 x)/6 = 0 by 6:

(6 (60 - 83 x))/6 = 6×0

(6 (60 - 83 x))/6 = 6/6×(60 - 83 x) = 60 - 83 x:

60 - 83 x = 6×0

0×6 = 0:

60 - 83 x = 0

Subtract 60 from both sides:

(60 - 60) - 83 x = -60

60 - 60 = 0:

-83 x = -60

Divide both sides of -83 x = -60 by -83:

(-83 x)/(-83) = (-60)/(-83)

(-83)/(-83) = 1:

x = (-60)/(-83)

Multiply numerator and denominator of (-60)/(-83) by -1:

Answer: x = 60/83

what seven divided by 4

Answers

Answer:

7 divided by 4 is 1 ¾ as a fraction, or 1.75 as a decimal.

Step-by-step explanation:

Pls mark as brainliest answer

The calculated division of the numbers seven divided by 4 is 1 3/4

How to calculate the division of the numbers

From the question, we have the following parameters that can be used in our computation:

seven divided by 4

When represented as an equation, we have

seven divided by 4 = 7/4

Divide 7 by 4

So, we have the following result

seven divided by 4 = 1 3/4

Using the above as a guide, we have the following:

the result is 1 3/4

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c) If the spinner is spun another 1000 times,
about how many times would you expect it to land on green? If the probability of it is 39/300

Answers

Answer:

130

Step-by-step explanation:

Probability of green:

P= 39/300

Number of attempts:  

1000

Expected number of landing on green:

Expected frequency = probability × number of trials1000*39/300 = 130 times

Answer: 130 times

The Nguyen family and the Reed family each used their sprinklers last summer. The Nguyen family's sprinkler was used for 15 hours. The Reed family's sprinkler was used for 25 hours. There was a combined total output of 1175L of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour? Nguyenfamily'ssprinkler:Lperhour Reedfamily'ssprinkler:Lperhour

Answers

Answer:

Nguyen family's sprinkler: 20 L per hour Reed family's sprinkler: 35 L per hour

Step-by-step explanation:

Let n and r represent the output in liters per hour of the Nguyen and Reed family sprinklers, respectively. Then we have ...

  15n +25r = 1175 . . . . total sprinkler output

  n + r = 55 . . . . . . . . . sum of two output rates

The second equation tells us we can substitute n = 55 -r into the first equation:

  15(55 -r) +25r = 1175

  10r = 1175 -825 . . . . . . subtract 825

  r = 350/10 = 35 . . . . . . divide by 10

  n - 55 -35 = 20 . . . . . . find n from r

Nguyen family's sprinkler: 20 L per hour

Reed family's sprinkler: 35 L per hour

Examine the table of input (x) and output (y) values below. What is the relationship between the input and output values? Write an equation for this relationship. input (x) –1 0 1 2 3 4 5 output (y) –4 –1 2 5 8 11 14 What do you notice about the relationship between the x and y values?

Answers

Answer:

Relationship: As the input increases by 1, the output increases by 3.

Equation: y=3x-1

~Hope this helps~

SP=2x+3, and LN=5x−14. Find SP. A. 20 B. 86 C. 43 D. 50

Answers

Answer:

C

Step-by-step explanation:

A segment joining the midpoints of two sides of a triangle is half the length of the third side.

SP is a midline segment, thus

SP = [tex]\frac{1}{2}[/tex] LN , that is

2x + 3 = [tex]\frac{1}{2}[/tex] (5x - 14) ← multiply both sides by 2

4x + 6 = 5x - 14 ( subtract 4x from both sides )

6 = x - 14 ( add 14 to both sides )

20 = x

Thus

SP = 2x + 3 = 2(20) + 3 = 40 + 3 = 43 → C

What effect will replacing x with (x – 7)have on the graph of the equation y = = (x + 4)??
A. slides the graph 3 units down
B. slides the graph 3 units up
C. slides the graph 7 units right
D. slides the graph 3 units right

Answers

Answer:

D

Step-by-step explanation:

When you graph the first equation y = (x + 4) it will have a x-intercept of -4 and a y-intercept of 4.  

When you replace x with (x-7) the equation will be converted into

y = ((x-7)+4)

y = x-3

When you graph this you see it has a x-intercept of 3 and a y-intercept of -3

To find the distance add the 2 x values together:

-4 + (-3) = ?

-4 -3 = ?

-7 = ?

Therefore the graph will shift units right

Which statement correctly compares
1–201 and
1512
ol-201 = 151
ol-201 < 51
l-201 > 151

Answers

Answer:

Option B.

Step-by-step explanation:

Consider the correct question is "Which statement correctly compares

1. -201  and  151

-201 = 151

-201 < 51

-201 > 151"

The given numbers are -201 and 151. We need to compare these numbers.

We know that all negative numbers are less than positive numbers.

So,

-201 < 151

If both numbers are negative, then the larger negative number is the smaller number.

Therefore, the correct option is B.

Type the correct answer in each box. Use numerals instead of words.

Consider the quadratic equation -x^2 - 6x + 6 = 0

Completing the square leads to the equivalent equation
-(x + ___ )^2 = ___

Answers

Answer:

-(x + 3)^2 = -15

Step-by-step explanation:

:) got it right

Convert into slope-intercept form: [tex]y-1=m(x-3)[/tex]

Answers

Answer:

y=2x-5

Step-by-step explanation:

First simplify: y-1=2x-6

y-1=2(x-3)

First simplify and distribute everything.

y-1=2x-6

So, x equals 2 because it got distributed into the numbers inside the parenthesis.  Same with the 2 and -3.  They multiplied to become -6.

Since it's y-1=2x-6, you can simplify it even more so the -1 goes to the other side and turns into positive 1.

y - 1 (+ 1) = 2x -6 (+ 1)

-1(+1)=0 which leaves just the variable y on the left side.

-6(+1)=-5 which leaves 2x-5 on the right side.

This results in y=2x-5.  Hope this helped ;)

Answer:

y = 2x - 5

Step-by-step explanation:

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y - 1 + 1 = 2x -6 + 1

y = 2x - 5

7.006 x 10^-3 in standard notation

Answers

Answer:

7.006*10⁻³ = 0.007006

Step-by-step explanation:

7.006*10⁻³ = 0.007006

Which of the following expressions represents the distance between -3.9, and -4.7?

Answers

Answer:

[tex]d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} }[/tex]

Step-by-step explanation:

[tex]d = \sqrt{( - 4 + 3) {}^{2} + (7 - 9) {}^{2} } [/tex]

[tex]d = \sqrt{(1 + 4)} = \sqrt{5} [/tex]

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