If sinA = cosB, what is the relationship between A and B if A is obuse angled and B is acute angled ?

Answers

Answer 1

Answer:

According to the law of sines, \dfrac{AB}{\sin(\angle C)}=\dfrac{AC}{\sin(\angle B)}

sin(∠C)

AB

=

sin(∠B)

AC

start fraction, A, B, divided by, sine, left parenthesis, angle, C, right parenthesis, end fraction, equals, start fraction, A, C, divided by, sine, left parenthesis, angle, B, right parenthesis, end fraction. Now we can plug the values and solve:

\begin{aligned} \dfrac{AB}{\sin(\angle C)}&=\dfrac{AC}{\sin(\angle B)} \\\\ \dfrac{5}{\sin(33^\circ)}&=\dfrac{AC}{\sin(67^\circ)}\\\\ \dfrac{5\sin(67^\circ)}{\sin(33^\circ)}&=AC \\\\ 8.45&\approx AC \end{aligned}

sin(∠C)

AB

sin(33

)

5

sin(33

)

5sin(67

)

8.45

=

sin(∠B)

AC

=

sin(67

)

AC

=AC

≈AC


Related Questions

need help, please asap

Answers

Answer: it should be a positive sraignt line, just plot the points as it shows you, and you should get a positive slope line.

Step-by-step explanation:

Answer:

All you gotta do is plot the points x and y Do you know how to plot them?

HELPPPPP!
Seven more than the product of 7 and Craig's score

Answers

Answer:

14

Step-by-step explanation:

7+7

Let’s say Craig’s score is x...

Product = multiplication

So...

7x+7

;)

Guided Practice


Find the distance you can see to the horizon from a height of 100 feet. Use the formula d = 1.5h⎯⎯⎯⎯⎯⎯⎯√ to approximate the distance d in miles to a horizon when h is the height in feet of the viewer's eyes above the ground. Round your answer to the nearest mile.


A.
12 mi


B.
10√1.5 mi


C.
13 mi

Answers

Answer:

A. 12 mi

Step-by-step explanation:

A.

12 mi

d===≈≈1.5h⎯⎯⎯⎯⎯⎯⎯√1.5•100⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√150⎯⎯⎯⎯⎯⎯√12.24712

The distance to the horizon is about 12 miles.

Artaud noticed that if he takes the opposite of his age and adds 38 he gets the number 22. How old is Artaud?

Answers

Answer:

16 years old

Step-by-step explanation:

22-38 = -16

The inverse of -16 = 16

16 years old is the answer on edge 2021

what's is m when u are looking for x or y intercept​

Answers

Answer:

Slope.

Step-by-step explanation:

mx+b

Answer:

Slope

Step-by-step explanation:

The equation of lines are normally formatted in "slope-intercept form"

(y = mx + b)

The b in the equation would be the y-intercept of the line.

The m represents the slope.

The x and y can be replaced with any x and y value from the line (if necessary)

What is the answer?, help me.

Answers

Answer:

128

Step-by-step explanation:

length*depth*height=Volume

8         * 4       * 4 =V

8*4*4=V

8*16=V

128=V

A random sample of students were asked whether they prefer milk juice or water is it results are summarized in the table.

Answers

Answer:

C

Step-by-step explanation:

The probability of students response is milk is 0.311.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

The table shows the students preference of milk, juice or water.

Total number of students preferred milk = 14

Total number of students = 45

Thus the probability that the students response is milk is

[tex]P(e)=\frac{14}{45}[/tex]

⇒ [tex]P(e)= 0.311[/tex]

Hence  we can conclude that the probability of students response is milk is 0.311.

Learn more about probability here

https://brainly.com/question/24091416

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What is the value of p?
p-4=2p-14

Answers

Step-by-step explanation:

p-4=2p-14

p-2p=-14+4

-p=-10

p=10

HELP PLEASE DUE IN 3 MINUTES

Answers

The median is the number in the middle, which is 123.

When trying to find the median, you first have to put all the numbers in numerical order-- 110, 123, 123, 145, 256-- then find the number in the middle. The number in the middle is 123.

If this is incorrect, please, don't refrain to tell me. Thank you.

Identify the excluded values of this product. Then rewrite the product in simplest form.

Answers

Answer:

2y+10/y

Step-by-step explanation:

Plato

Answer:

2(y+5)/y

Step-by-step explanation:

edmentum

1. The sum of m and 10 *
a. 12 +8
b. 6 (7 +a)
c. m + 10
d. y/-5

This is a required question
2. The following are examples of relation symbols, EXCEPT *
a. =
b. >
c. <
d. +

3. Which of the following belong to operational symbols? *
a. >
b. <
c. =
d. +

4. The product of 5 and a number x *
a. x + 5
b. 5x
c. 5-x
d. 5/x

5. Which of the following is associated to this symbol “÷”? *
a. Addition
b. Division
c. Subtraction
d. Multiplication

Answers

Answer:

c. m + 10d. +d. +b. 5xb. Division

please help and thank you​

Answers

Answer:

Step-by-step explanation:

2)  

x + 14 [tex]\frac{13}{25}[/tex]  =  -0.87

x + [tex]\frac{363}{25}[/tex] = - [tex]\frac{87}{100}[/tex]

x + [tex]\frac{1452}{100}[/tex] = - [tex]\frac{87}{100}[/tex]

x  = - [tex]\frac{87}{100}[/tex] - [tex]\frac{1452}{100}[/tex]

x = - [tex]\frac{1539}{100}[/tex]

3)

x -8 [tex]\frac{5}{6}[/tex] = 1.5

x - [tex]\frac{53}{6}[/tex] = [tex]\frac{9}{6}[/tex]

x =  [tex]\frac{9}{6}[/tex] + [tex]\frac{53}{6}[/tex]

x = [tex]\frac{62}{6}[/tex]

x = [tex]\frac{31}{3}[/tex]

4)

x - [tex]\frac{7}{12}[/tex] = - 7 [tex]\frac{7}{16}[/tex]

x - [tex]\frac{28}{48}[/tex] = - [tex]\frac{119}{16}[/tex]

x = - [tex]\frac{357}{48}[/tex] + [tex]\frac{28}{48}[/tex]

x = - [tex]\frac{329}{48}[/tex]

5)

[tex]\frac{8}{9}[/tex] - x = 6 [tex]\frac{1}{15}[/tex]

[tex]\frac{8}{9}[/tex]  = [tex]\frac{91}{15}[/tex] + x

[tex]\frac{40}{45}[/tex] - [tex]\frac{273}{45}[/tex] = x

- [tex]\frac{233}{45}[/tex] = x

x = - [tex]\frac{233}{45}[/tex]

6)

-33.754 - x = 28.05

-33.754  - 28.05 = x

- 61.804 = x

x = - 61.804

HELP!!! 20 points!!!

Answers

Answer:

trapezoid

Step-by-step explanation:

as long as one group of sides is parallel and the other is not, it's a trapezoid.

Find the area of this shape

Answers

Answer:

14

Step-by-step explanation:

please please help i need a better grade

Answers

Answer:

The first one is (-3,2)

The second one is (3,4)

The third one is (1,-1)

The last one is (-4,-4)

I HOPE THIS BRINGS UP YOUR GRADE! :)

What congruence criterion shows that
A ACE A BCD
?
E
B
A
D
AAS
SAS
HL
O ASA

Answers

Answer:

SAS

Step-by-step explanation:

It shows that triangle ACE and BCD are congruent by

SAS axiom

HOPE IT HELPS :)

by sas

EC=CD[GIVEN]

AC=CB(GIVEN)

<ECA=<BCD()VERTICAL OPPOSITE ANGLE

An electrician charges $95 an hour for labor and an initial fee of $65. The total cost c equals 95 times the number of hours x plus 65. Enter an equation for the relationship and use the equation to complete the table.

Answers

Answer:

95x + 65 = c      

Step-by-step explanation:

help me please for points​

Answers

Answer:

the answer is c

Step-by-step explanation:

2/5=.4

4/8=.8

.4 is smaller than .8

Answer:

C

Step-by-step explanation:

2/5= 0.4

1/10= 0.1

4/5= 0.8

Solve for x in the following:​

Answers

Answer:

[tex] \boxed{\boxed{ \red{\: x = \begin{cases} \frac{\pi}{8} + 7 + \frac{k\pi}{2} \\ - 6 + \frac{\pi}{12} + \frac{k\pi}{3} \end{cases}}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:trigonometry equationPEMDAStips and formulas:[tex] \cos(t) = \sin( \frac{\pi}{2} - t ) [/tex][tex] \sin(t) - \sin(s) = 2 \cos( \frac{t + s}{2} ) \sin( \frac{t - s}{2} ) [/tex]let's solve:[tex] \sf use \: first \: formula : \\ \sin(5x + 4) = \sin( \frac{\pi}{2} - (5 x + 4) )\\ \sin(5x + 4) = \sin( \frac{\pi}{2} - 5 x - 4) \\ [/tex][tex] \sf move \: the \: expresson \: to \: left \: side \: and \: change \: the \: sign : \\ \sin(5x + 4) - \sin( \frac{\pi}{2} - 5 x - 4) = 0\\ [/tex][tex] \sf use \: 2nd \: formula : \\ 2 \cos( \frac{8x - 56 + \pi}{4} ) \sin( \frac{12x + 72 - \pi}{4} ) = 0[/tex][tex] \sf divide \: both \: sides \: by \: 2 : \\ \cos( \frac{8x - 56 + \pi}{4} ) \sin( \frac{12x + 72 - \pi}{4} ) = 0[/tex][tex] \sf separate \: the \: equation: \\ \cos( \frac{8x - 56 + \pi}{4} ) = 0 \\ \sin( \frac{12x + 72 - \pi}{4} ) = 0[/tex]

therefore

[tex] \therefore \: x = \begin{cases} \frac{\pi}{8} + 7 + \frac{k\pi}{2} \\ - 6 + \frac{\pi}{12} + \frac{k\pi}{3} \end{cases}[/tex]

A motion detector at the corner of a building can detect motion outside within a radius of 20 feet. Within what area can it detect motion? The building takes up ¼ of the circle

Answers

To find area of full circle

A= pi*r^2
A=pi*20^2
A=1256 ft^2

Now figure only for the 3/4 of circle the building don’t cover

A=1256*.75
A=942 ft^2

So the area it can detect is 942 ft^2

math question please help

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Hello There!

First things first, we should find the rate of change / slope

given two points we can find the slope by using the slope formula which is

(let m be slope)

[tex]m = \frac{y_2-y_2}{x_2-x_2}[/tex]

To find the slope all we have to do is plug in the points

(1,5),(2,10)

remember the first numbers in an ordered pair are the x values and the second numbers are the y values

we also plug in the points of the second ordered pair first so

[tex]m=\frac{10-5}{2-1} \\10-5=5\\2-1=1\\m=\frac{5}{1} or5[/tex]

Knowing the slope we can create an equation to find the x value (a)

y=5x

given the y value we plug in y and solve for x

15=5x

divide each side by 5

15/5=3

5x/5=x

we're left with

x=3

so we can conclude when y =15 x = 3 therefore 3 is your answer

What is the missing polynomial ?-(20-4x5x^2)=20-7x^2

Answers

Answer: [tex]-2x^2-4x+40[/tex]

Step-by-step explanation:

Suppose the missing polynomial be f(x)

So, we can write

[tex]\Rightarrow f(x)-(20-4x+5x^2)=20-7x^2\\\Rightarrow f(x)=20-7x^2+(20-4x+5x^2)\\\Rightarrow f(x)=-2x^2-4x+40[/tex]

A cylinder has a diameter of 6 cm and a height of 14 cm. What is the approximate volume of a cone with the same diameter and height as the cylinder? ​

Answers

The volume of the cylinder is 395.64 cubic cm

Solve the right triangle. Round decimal answers to the nearest tenth. I can´t figure out KL and ML.

Answers

Answer:

Me to I need that Answer en m<k is 50°

Step-by-step explanation:

The measure of KL is 5.1 unit and the measure of ML is 6.1 unit.

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given that, MK=8 units, ∠M=40° and ∠K=50°.

We know that, sinθ=Perpendicular/Hypotenuse

Now, sin40°=KL/8

0.6427=KL/8

KL=0.6427×8

KL=5.1 units

sin50°=ML/8

0.7660=ML/8

ML=6.1 units

Therefore, the measure of KL is 5.1 unit and the measure of ML is 6.1 unit.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

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You randomly choose one shirt from the shelves.
Find the probability of the event.
The probability of not choosing a white shirt is ??

Answers

Answer:

9/10

Step-by-step explanation:

Total number of shirt = 10

No. of white shirt = 1

Probability of not choosing a white shirt = 1- 1/10 = 9/10


Ana marked 15% of the e-mails in her Inbox as Important. If she has 180 e-mails in her Inbox, how many did she mark as Important?
A n=0.15/180
B 180n = 0.15
C 0.15n = 180
D n=0.15(180)

Answers

the answer is b
i tried my best to answer

Given isosceles right triangle CDE with m∠D = 90, sin C = sin D

Answers

Answer:True

Step-by-step explanation:

Given

[tex]\angle D=90^{\circ}[/tex]

For isosceles triangle , CD=DE (x=y)

from figure,

[tex]\sin C=\dfrac{y}{H}\\\\\sin D=\dfrac{x}{H}\\\\\text{CD=DE}\\\\\therefore \sin C=\sin D=\dfrac{x}{H}=\dfrac{y}{H}[/tex]

Thus, the given statement is true

5(2v - 9) = 7v + 36


Help please!

Answers

Answer:

= 2 7

Step-by-step explanation:

Answer:

v=27 easy

Step-by-step explanation:

Brianna babysits on the weekend. She charges $7 per hour. Last weekend she made $63. How many hours did she babysit?
a. 7/h = 63
b. h/7 = 63
c. 7h = 63
d. 7 + h = 63

Answers

Answer:

I think its C but I think you have another response as another possibility!

Answer:

C

Step-by-step explanation:

Tell which term you would add or subtract on both sides side of the equation so that the variable is only on one side.
7X – 1 = 2x + 5

Answers

Answer:

x=6/5

Step-by-step explanation:

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