What is the measure of RCD?

What Is The Measure Of RCD?

Answers

Answer 1

Find length CD first, which is the hypotenuse of the triangle.

PD = opposite

Opposite & hypotenuse = SOH or sin

Sin(27) = 15/H

x h, then ÷ sin(27)

H = 15/sin(27)

H = 33.04....

Move to triangle CDR:

15 is length opposite the angle we're after.

So far, we've got the hypotenuse (which we just found to be 33.04....) & the opposite of our triangle

Hypotenuse & opposite = SOH

Sin(x) = 15/33.04... but, to find the angle we do inverse of sin

sin-1(15/33.04...) = x

x = 27

(33.04... means I used the full numbers displayed on my calculator)

Thus, RCD is 27 degrees

Hope this helps!


Related Questions

AD= in
What is AD?
Help me please, thanks:)

Answers

Step-by-step explanation:

ATTACHED IS THE SOLUTION!

need help pleaseeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

We can calculate a few points, such as when x = 0, y = 0 (which sometimes doesn't happen), and the lowest point (where y is the smallest)

When x = 0, y = 3, so (0,3) is one of the points, and is also the y intercept

When y = 0, x = -3, and it also happens that 0 is the lowest point that y can be, since no value of x would make y negative.

Now, we have two points, (0,3) and (-3,0)

Graph B is the one one which has both the points (0,3) and (-3,0) on it, and indeed, y never reaches below the x axis since y can't be negative

If a snowball melts so that its surface area decreases at a rate of 1 cm2/min, find the rate at which the diameter decreases when the diameter is 12 cm. (Give your answer correct to 4 decimal places.) cm/min

Answers

The rate at which the diameter decreases is 0.0159cm/min.

Given that a snowball melts and its surface area decreases at a rate of 1cm²/min.

The surface area of a solid object may be a measure of the entire area that the surface of the thing occupies.

The surface area of the snowball is A=4πr² because the snowball is spherical.

Here, r is the radius of the snowball.

Let D be the diameter of the snowball.

As the radius is half of the diameter

The surface area of a snowball can also be rewritten as

A=4π(D÷2)²

A=4π(D²÷4)

A=πD²

Given that the surface area decreases by 1cm²/min, so,

dA÷dt=-1cm²/min.

Differentiating both sides in A=πD² and get

dA÷dt=2πD(dD÷dt)

Given that the diameter is 12cm.

Substitute these values in the formula and find dD÷dt

-1=2π×12×(dD÷dt)

-1=24π×(dD÷dt)

-1÷24π=dD÷dt

-0.0159≈dD÷dt

Hence, the diameter decreases at the rate of 0.0159 cm/min when the diameter is 12 cm.

Learn about the surface area from here brainly.com/question/15169645

#SPJ4

Try It #3
There is a straight road leading from the town of Timpson to Ashburn 60 miles east and 12 miles north. Partway down the road, it junctions with a second road, perpendicular to the first, leading to the town of Garrison. If the town of Garrison is located 22 miles directly east of the town of Timpson, how far is the road junction from Timpson?

Answers

The distance of the road junction form Timpson is given as 21.57 miles.

We have to solve this using the Pythagoras theorem method

We have AT = [tex]\sqrt{TN^{2}+AN^{2} }[/tex]

√60² + 12² = 12√26

∠TMG = LN = 90 degrees

Therefore we have the system

[tex]\frac{TM}{60} = \frac{22}{12\sqrt{26} }[/tex]

When we cross multiply we would have to solve for TM

TM = 21.57 miles

Hence the distance of the road junction form Timpson is given as 21.57 miles.

Read more on distance here:

https://brainly.com/question/17273444

#SPJ1

The points (-3 r) and (9 2) lie on the line with slope 1/4. find the missing coordinate

Answers

Answer: -1

Step-by-step explanation:

I assume the points are (-3, r) and (9,2).

Substituting into the slope formula,

[tex]\frac{r-2}{-3-9}=\frac{1}{4}\\\\\frac{r-2}{-12}=\frac{1}{4}\\\\r-2=-3\\\\r=-1[/tex]

Find x so that l || m.

Answers

Hello,

Answer:

x = 20

Step-by-step explanation:

    3x + 10 = 4x - 10

⇔ 4x - 3x = 10 + 10

⇔ x = 20  

Answer:

20

Step-by-step explanation:

Since l ll m

( 3x + 10 ) and ( 4x - 10 ) are alternate exterior angles,

Property of parallel lines ( ll ) : -

Alternate exterior angles are equal.

4x - 10 = 3x + 10

4x - 3x = 10 + 10

x = 20

Lucky’s Market purchased a new freezer for the store. When the freezer door stays open, the temperature inside rises. The table shows how much the temperature rises every 15 minutes. Find the unit rate.

Answers

The unit rate per minute is 2/3.

What is the unit rate?

In order to determine the unit rate, divide the temperature by the time. Division is the mathematical operation that is used to determine the quotient of a number.

Unit rate = temperature / time

10 / 15  = 2/3

To learn more about division, please check: https://brainly.com/question/13281206

#SPJ1

Which function has a vertex at (2, 6)?

Answers

Answer:

A quadratic function

Step-by-step explanation:

Answer:

f(x) = 2|x – 2|  + 6

Step-by-step explanation:

On edg 2022

Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.

AngleJ = 90° AngleJ' = 90°

AngleK = 65° AngleK' = 65°

AngleL = 25° AngleL' = 25°

Which statement is true about this transformation?
It is a rigid transformation because the pre-image and image have the same corresponding angle measures.
It is not a rigid transformation because the corresponding side lengths are not equal.
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
It can be a rigid or a nonrigid transformation because a pair of corresponding angles measures 90°.

Answers

Triangle JKL is transformed to create triangle J'K'L'. It can be a rigid or a non rigid transformation depending on whether the corresponding side lengths have the same measures.

What is a transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.

Dilation is the increase or decrease in the size of a figure.

A rigid transformation such as reflection, rotation and translation preserve the shape and size, hence the pre-image and image have the same corresponding angle and side measures.

A non rigid transformation such as dilation preserve the shape and not size, hence the pre-image and image have the same corresponding angle measures.

Triangle JKL is transformed to create triangle J'K'L'. It can be a rigid or a non rigid transformation depending on whether the corresponding side lengths have the same measures.

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

Answer:

C

Step-by-step explanation:

2023

10.one hundred and sixty-seven it students are transported by 3 buses to a workshop. there are 4 more students in the second bus than in the first bus and in the third bus there are 9 more students than in the second one. how many students are in each bus?

Answers

Let x be the number on the first bus.
The distribution of students is x + (x +4) + (x + 4 + 9) = 167
3x + 17 = 167
3x = 167 - 17 = 150
The number on the first bus x = 50
The number on the second bus = 54
The number on the third bus = 63

What is the slope of a line perpendicular to 3x + 2y = 7?
-2/3
-3/2
3/2
2/3

Answers

Answer:

m = 2/3

Step-by-step explanation:

Rewrite in slope-intercept form.

y = -3/2x + 7/2

Using the slope-intercept form, the slope is −3/2.

m = -3/2

The equation of a perpendicular line to y=−3/2x + 7/2 must have a slope that is the negative reciprocal of the original slope.

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

• First rewrite the original equation in the form y = mx + c ,

where m = gradient:

[tex]3x + 2y = 7[/tex]

⇒ [tex]2y = -3x + 7[/tex]

⇒ [tex]y = \frac{-3}{2}x + \frac{7}{2}[/tex]

• From this equation, we can see that the gradient, m = [tex]\frac{-3}{2}[/tex] .

The gradient of a line perpendicular to another line with gradient m,  = [tex]\frac{-1}{m}[/tex].

∴ gradient of perpendicular = -1  ÷   [tex]\frac{-3}{2}[/tex]

                                              = [tex]\frac{2}{3}[/tex]    

A machine wheel spins at a rate of 500 revolutions per minute. If the wheel has a diameter of 80 centimeters, what is the angular speed of the wheel, in radians per second?

Answers

The angular speed of the wheel is calculated as 52.36 radians per second

How to solve for the angular speed

The revolution of this wheel is said to be at 500 in a minute

This is also called the frequency of this wheel.

This can be written as

500rev in 60 seconds. 500/60 = 8.333 per second

Angular speed is given as

pi = 22/7

f = 8.333

Formular for angular speed = ω = 2*pi*f

w = 2 * 22/7 * 8.333

= 52.36 radians per second

Read more on angular speed here:

https://brainly.com/question/6860269

#SPJ1

find the zeros of 7=x^2-8x-3 by completing the square

Answers

Using the completing the square method, for the equation, we have the zeros as x = √26 + 4 and x = 4 - √26

How can the zeros be found using completing the square method?

The given equation is presented as follows

[tex]7 = \mathbf{ {x}^{2} - 8x - 3}[/tex]

Which, by completing the square, gives;

[tex] {x}^{2} - 8x - 3 - 7 = 0[/tex]

[tex] {x}^{2} - 8x - 10 = 0[/tex]

[tex] {x}^{2} - 8x + {\left(\frac{8}{2} \right) }^{2} - 10 - {\left(\frac{8}{2} \right) }^{2} = 0[/tex]

[tex] \mathbf{{(x - 4)}^{2} } =26[/tex]

The zeros of the equation;

[tex]7 = {x}^{2} - 8x - 3[/tex]

are;

[tex] \underline{x = \pm \sqrt{26} + 4}[/tex]

Learn more about completing the square here:

https://brainly.com/question/10449635

#SPJ1

suppose f(x)=x+3 find the graph of f(2x)

Answers

Answer:

2x + 3

Step-by-step explanation:

f(2x) means that we have to substitute x with 2x

So, the answer is

2x + 3

A number from 1-50 is chosen at random. What is the probability of not selecting odd or a prime number?

Answers

Answer:

12/25

Step-by-step explanation:

total number of possible outcomes =50

number of possible outcomes =24

probability of not selecting odd or prime numbers

=24/50

=12/25

Fitness Your goal is to take at least 10,000 steps per day. According to your pedometer, you have walked 527 4 steps. Write and solve an inequality to find the possible numbers of steps you can take to reach your goal.

Answers

The inequality is x + 5274 ≥ 10,000.

The total number of steps I have to take to reach my goal is 4726.

How many more steps do I have to take?

Here are inequality signs and what they mean:

> means greater than< means less than≥ means greater than or equal to ≤ less than or equal to

Number of steps I have to take + number of steps I have taken ≥Total steps

X + 5274 + x ≥ 10,000

x ≥ 10,000 - 5274

x ≥ 4726

To learn more about inequality, please check: https://brainly.com/question/5031619

#SPJ1

Find the surface area of a cube with a side length of 8 m

Answers

Answer:

384 m²

Step-by-step explanation:

The formula to find the surface area of a cube is:

S.A. = 6a²

Here,

a ⇒ length of a side ⇒ 8m

Let us solve it now.

S.A. = 6a²

S.A. = 6 × 8 × 8

S.A. = 48 × 8

S.A. = 384 m²

Jordan's grades improved in arithmetic when he was fitted with hearing aids. Why does he no longer have an SCD

Answers

Jordan can now hear the math teacher, whose classroom instruction was crucial in addition to what Jordan read in his textbook.

What are hearing aids?

A hearing aid is a small electronic device that you wear in or behind your ear. It is used by people who cannot hear properly. Wearing this device makes sounds louder so that a person who cannot hear can listen, and talk to other people. A hearing aid can help people hear in every situation.

What is an SCD?

SCD is nothing but a specific learning disorder.

How is it different from intellectual disability?

An SLD is specific to underachievement in academic skills that are not attributable to intellectual disability, developmental delay, or physical cause.

Learn more about hearing aids here:

https://brainly.com/question/3190699

#SPJ4

y=f(x)graph Select the interval where fff is positive.

Answers

The interval where f is positive is [tex]0 \le x < 1.5[/tex]

How to determine the positive interval?

The missing function is added as an attachment

From the attached graph, the function f(x) is positive from x = 0 to x = 1.5

As an interval notation, this can be represented as:

[tex]0 \le x < 1.5[/tex]

Hence, the interval where f is positive is [tex]0 \le x < 1.5[/tex]

Read more about function intervals at:

https://brainly.com/question/27831985

#SPJ1

Are the following lines parallel, perpendicular, or neither: y=-x+6 and y=x+1

Answers

Answer:

The following lines is perpendicular, y=-x+6 and y=x+1

Step-by-step explanation:

Slope of parallel lines are equal

(ex. slope of 2 stays 2 )

Slope of perpendicular lines to another is the negative reciprocal

(ex. slope of 2 becomes -1/2)

y = -x + 6 and y = x + 1

the slope for y = -x + 6 is -1    (-1/1)

the slope for y = x + 1 is 1

the slope -1 is the negative reciprocal of 1

hence, the definition of perpendicular fits the given

Learn more about Perpendicular and Parallel Lines here: https://brainly.com/question/1202004

Help Urgent In a Hurry

1. What is the energy of photon having a frequency of a 4.5 × 106 Hz? (h = 6.6 × 10-34 J s)

2. Calculate the energy of radiation of wavelength of 615 nm (h = 6.6 × 10-34 J s).

3. Calculate the energy of radiation of wavelength of 300 nm (h = 6.6 × 10-34 J s).

4. What is the energy of a photon having a frequency of 4 × 104 Hz? (h = 6.6 × 10-34 J s)

5. A photon has a wavelength of 230 nm. Which of the following represents the energy of the photon?

Answers

The energy of the photon in each case is;

1. 2.97 * 10^-27 J

2. 3.2 * 10^-19 J

3. 6.6 * 10^-19 J

4. 2.64 * 10^-29 J

5. 8.6 * 10^-19 J

What is the energy of photon?

The energy of a photon is obtained form the Plank's equation; E = hf

1) E = hf

E =  6.6 × 10^-34 J s  *  4.5 × 10^6 Hz

E = 2.97 * 10^-27 J

2)E = hc/λ

E = 6.6 × 10^-34 J s  * 3 * 10^8/615  * 10^-9

E = 3.2 * 10^-19 J

3) E = hc/λ

E = 6.6 × 10^-34 J s  * 3 * 10^8/300 * 10^-9

E = 6.6 * 10^-19 J

4) E = hf

E = 6.6 × 10^-34 J s  * 4 × 10^4 Hz

E = 2.64 * 10^-29 J

5) E = hc/λ

E = 6.6 × 10^-34 J s  * 3 * 10^8/230  * 10^-9

E = 8.6 * 10^-19 J

Learn more about energy of a photon:https://brainly.com/question/2393994

#SPJ1

la mama de fabiana tiene un vivero. En su ultimo pedido compro 5 fresias, una con flores rojas, una con flores blancas, una con flores celestes y otra con flores violetas, 3 rosales, una con flores rojas, otro con flores rosas y otro con flores amarillas y 2 calas, una con flores blancas y otra con flores azules.

Me ayudan porfa.
Les doy puntos y coronita si me ayudan.
Porfa.

Answers

The computation shows that the number of flowers will be 10.

How to calculate the value?

The information illustrates the flowers that were brought for the nursery.

Based on the information given, the total number of flowers bought for the nursery will be:

= 5 freesias + 3 rosebrushes + 2 calls lilies

= 10

In conclusion, the total number of flowers is 10.

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

mike solves 56 problems in 1 hour 45 min, how many problems does he solve per hour

Answers

32 problems per hour
Answer is 32 problems per hour
Explained
56 problems divided by 1.75 = 32
The reason I used 1.75 is because 1 hr 45 minutes is 1 hour and the 45 minutes is 3/4 of an hour on the clock, 3/4 is the same as .75

The time that passes between the time you see lightning and you hear the thunder depends on your distance from the lightning. With each km from the lightning 3 seconds pass.
a) Make a table of values for distances from 0 to 5 km.
b) Graph this relation. State whether it is a linear or non-linear relation.
c) Using your graphed relation, how much time passes before you hear lightning that occurs 4.5 km away?
d) Using your graphed relation, how far away are you if you hear the thunder in 1.5 seconds?

Answers

When the lightning occurs 4.5 km away then we will hear after 13.5 seconds and if we hear after 1.5 seconds then we are 0.5 km away from lightning.

Given With each km from the lightning 3 seconds passes.

a) The table of values for distances from 0 to 5 km.

      Distances                     Time

             0                              0

             1                               3

             2                              6

             3                               9

             4                               12

             5                                15

b) The graph of lightning is a linear relation because it is increasing constantly by 3 seconds. f(x)=3x

c) When distance =1  , the time be 3 seconds

when distance =4.5  , the time=3*4.5

=13.5 seconds.

d) When time is 3 seconds = 1km

when time =1.5 seconds , the distance be 1/2=0.5 km.

Learn more about graph at https://brainly.com/question/4025726

#SPJ10

Today only, a table is being sold for $100.80. This is 24% of its regular price. What was the price yesterday?

Answers

Answer:

$420

Step-by-step explanation:

100.80/x = 24/100

with x being the regular price

x = (100.8*100)/24

x = 420

What is an equation for the line parallel to y = −x + 2 going through the point (−3, −5)?

Answers

The equation for the line parallel to y = −x + 2 going through the point (−3, −5) is y = -x - 8

Equation of a line

The equation of a line in point slope form is expressed as:

y - y1 = m(x-x1)

Given the equation y = -x + 2, the slope of the line parallel to the line is -1

Substitute the slope and point (-3, -5)

y -(-5) = -1(x - (-3))

y+5 = -(x + 3)

y+5 =-x - 3

y = -x - 3 - 5

y = -x - 8

Hence the equation for the line parallel to y = −x + 2 going through the point (−3, −5) is y = -x - 8

Learn more on equation of a line here: https://brainly.com/question/18831322

#SPJ1

Which is the graph of y = - root(7, x) - 8 ?

Answers

Answer:

Step-by-step explanation:

Write the domain and range of g using interval notation.

Answers

Domain[ - 3 , 2 )

Range[ - 4 , 5 ]

solve for: 3x-91>-87 AND 17x-16>18

a) x>2
b) x>4/3
c) 4/3d) there are no solutions

Answers

The correct answers are option an x>2 for inequality 17x-16>18 and option b x>(4/3) for an inequality 3x-91>-87.

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

Given inequalities are:-

3x-91>-87 AND 17x-16>18

The inequalities will be solved as:-

i ) 3x - 91 > -87

3x > -87 + 91

3x > 4

x > ( 4 / 3 )

ii) 17x-16>18

17x > 18 + 16

17x > 34

x > 34 /17

x > 2

Therefore the correct answers are option an x>2 for inequality 17x-16>18 and option b x>(4/3) for an inequality 3x-91>-87.

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ1

Find in degrees.
11
B
6
[?]°
Round to the nearest hundredth.
Enter

Answers

Answer:

[tex] \beta = 28.610[/tex]

Step-by-step explanation:

in this case we have a right angled triangle, whenever you see this triangle think of the TRIG RATIOS * sin, cos & tan* but if it was another triangle besides right angled triangle you use SINE RULE OR COSINE RULE

SOLUTION

[tex] \tan( \beta ) = \frac{opposite}{adjecent} \\ \tan( \beta ) = \frac{6}{11} \\ \beta = tan(inverse)( \frac{6}{11} ) \\ \beta = 28.61045[/tex]

Other Questions
The immersed volume of body in a liquid depends on density of the liquid. TRUE or FALSE? A bacterium that either partially or fully catabolizes an acyl-homoserine lactone will likely disrupt. In triangle QRS, QR = 8 and RS = 5. Which expresses all possible lengths of side QS?QS = 135 < QS < 8QS > 133 < QS < 13 There have been recent discussions about eliminating the pronoun "Seorita" from thelanguage to differentiate married women from non-married women. Why might this bea progressive idea? What other issues could you see posing controversy in today's worldregarding personal pronouns and gender? Occasionally earthquakes occur as a result of collisions along oceanic-continental convergent boundaries. Where do these earthquakes most likely occur?on land but close to oceans !!!!!!! this oneinland, far from the coastin the middle of the oceansanywhere there are mountains Which of the following items have inelastic demand? (Remember: items that are "wants"and/or have many substitutes tend to be elastic. Items that are "needs" and/or have fewsubstitutes tend to be inelastic.) Select all that apply. I need help with this please Jackson Pollock's drip technique involved laying the canvas on the floor and dripping paint from a stick around on it. The result was similar to being in front of a ______ ______. tommy starts walking from school to home at the same time that his dad starts walking home to school the both depart at 300pm tommy is walking at a speed of 1.35meters pr second and his dad is walking at a speed of 1.65 meters per second. the distance between home and school is 720 meters at what time wil they meet Alcohol has been implicated in ________ of drownings List at least two ways in which the proximity to water has affected Western Europe's climate, settlement patterns, culture, economy, and politics. make sure to do all of them I don't have the time to scrounge the entirety of the internet Suppose Z has a standard normal distribution with a mean of 0 and a standard deviation of 1. 27% of the possible Z values are smaller than __________. how did the public idea of democracy change over time {f(x)=2x+1 g(x)=x2+2x8 When comparing spun microhematocrit results with hematocrit results obtained on an electronic cell counter, the spun hematocrit results may vary from ___ because of this trapped plasma (unless the cell counter has been calibrated against spun microhematocrits uncorrected for trapped plasma). Cells are surrounded and protected by. it's multiple-choice to fill in the blank. Here's the list of them.LipidsNucleic AcidsCarbohydratesProteins In the average person, what percentage of alcohol is absorbed through the small intestine?. the kushans were another people from Question 16 (5 points) What's the volume of a cube with a side length of 3 inches? O27 cubic inches O 12 square inches O 12 cubic inches O27 square inches 7. The asthenosphere and lithosphere are parts of Earth's