In a right triangle, Sin (30 + x) º = Cos (3x) º. What is the value of x?

Answers

Answer 1

Answer:

[tex]x=15^\circ[/tex]

Step-by-step explanation:

In a right triangle:

[tex]\sin \theta =cos(90^\circ-\theta) $ (Complementary angles)[/tex]

Therefore, given:

[tex]Sin (30 + x) \º = Cos (3x) \º\\30+x+3x=90^\circ\\30+4x=90^\circ\\4x=90^\circ-30^\circ\\4x=60^\circ\\$Divide both sides by 4\\x=15^\circ[/tex]


Related Questions

I will give brainliest answer and upvote

Answers

Answer:

397.39

Step-by-step explanation:

steps are all stated in the picture, basically use area of circle minus area of rectangle will give you the shaded area

Pls help lol eeeeeeeeee :D :D

Answers

Answer:

9 units2

Step-by-step explanation:

area of a triangle= lengthxwidth/2

3x6=18/2=9

3 times 6 = 18/2 = 9

Expand 4(2x - 3)
Please

Answers

Answer:

4(2x) 4(-3)

Step-by-step explanation:

Separate the two parts of what is inside of the parentheses to “expand” it.

Answer:

The correct answer is

2x − 3

You can expand using the binomial expansion theorem.

Hope this helps!

- Quinn <3

do complementary angles form straight angles?

Answers

Answer: no

Explanation: Complementary angles form a right angle (L shape) and have a sum of 90 degrees.

A toy store marks down every toy by 15% in June. How much does a toy cost during June?

Answers

Answer:

since the toy is marked down 15%,

you do p*.85  

to find the remaining cost

Step-by-step explanation:

How to convert 1/4 to decimal form. How do I start that ? I obviously know it’s .25 but how do I show work ?

Answers

Answer:

(1/4 x 1 ) = 0.25

or (1/4) x 1 = 0.25

Step-by-step explanation:

We are doing the opposite to finding 25%

Which is 1/4 of 100%

We do this an opposite (not as inverse)

To find percentage increase as you can compare below.

or as percentage increase

230 x 0.25 (x 100) = 287.50  

Even though we are not finding increase for 1/4 by changing it to decimal form, this practice does use the (x1) element in brackets and does identify the distribution.

Answer:

Use a calculator or use long division. See long division below.

Step-by-step explanation:

Use a calculator or use long division.

Long division:

               ------------------------------

        4     |  1

4 does not go into 1, so add a decimal pace to 1.

                    0.

                   ------------------------------

            4    |  1.0

4 goes into 10 2 times.

                      0.2

                   ------------------------------

             4    |  1.0

             -          8

           --------------

                        2

There is a remainder, so bring down another 0.

                      0.2

                   ------------------------------

             4    |  1.00

             -          8

           --------------

                        20

4 goes into 20 5 times.

                    0.25

                   ------------------------------

             4    |  1.00

             -          8

           --------------

                        20

               -        20

             --------------

                            0

The remainder is zero.

1/4 = 0.25

Find the domain and range of the relation. {(−7,−18),(−23,21),(4,13),(−17,22),(2,−10)}

Answers

Answer: Domain = all x values and Range = all y values

Step-by-step explanation:

The domain of a function is all the allowed x values that make the function true. Luckily you were already given the domain. Its all the x values.

The range of a function is pretty much all the allowed y values of a function. Or, what y values the function can be equal to. So that's just all the y values

When listing the domain and range, you generally want to do it from least to greatest and you do not want to repeat any values

Answer:

D:{ -23,-17,-7,2,4}

R:{-18,-10,13,21,22}

Step-by-step explanation:

The domain is the input

D:{ -7,-23,4,-17,2}

We normally put them in numerical order

D:{ -23,-17,-7,2,4}

The range is the output

R:{-18,21,13,22,-10}

We normally put them in numerical order

R:{-18,-10,13,21,22}

What is 4.6% of 1.9? Round to the nearest hundredth (if nece
ecessary)

Answers

Answer:

.0874 or .087

Step-by-step explanation:

Answer:

1.99

Step-by-step explanation:

4.6% > 0.046

0.046 x 1.9 = 0.0874

0.0874 + 1.9 = 1.9874

rounded to nearest hundredth

1.99

75% of_____ = 300
Please help me

Answers

Answer:

400

Step-by-step explanation:

75%=0.75

300/0.75 = 400

Answer:

400

Step-by-step explanation:

75/100 of x = 300

75x/100 = 300

Cross multiplying

75x = 30000

Dividing the both by 75

x = 400

A rectangular prism and a square pyramid were joined to form a composite figure.


A rectangular prism with a length of 9 inches, width of 9 inches, and height of 5 inches. A square pyramid with triangular sides with a base of 9 inches and height 4 inches.
[Not drawn to Scale]

What is the surface area of the figure?
261 in.2
333 in.2
405 in.2
477 in.2

Answers

Answer:

B. 333 in.2

Step-by-step explanation:

The area of the base is 81^2

lateral is 45 x 4 = 180^2  (9x5x4)

180^2 add the 72 pyramid = 252^2 + base of 81^2 = 333^2

Composite figueres i do like this as shown to you a few seconds ago.

The triangle shows us just the height

4 inches

We can see that height is smaller central isosceles height across the center base point.

We also can remember to use the length 9inches but divide by 2 and get each triangle area this way.

4 x 1/2 base = 4x 1/2 4.5 = 4 x 2.25 = 9^2 each right side triangle

9 x 8 = 72^2

we add the areas 72+ 81+lateral 180 = 333 inches^2

Answer:

it is B

I took the quiz

Can someone help me?? Please

Answers

6x3 is 18 so 1 x 3 is 3 the answer is 3

Answer:

3 lunches

Step-by-step explanation:

Ronald throws a football at an intial velocity of 20 ft per sec. He releases the ball at a height of 5 feet.
1) What is the height of the football at time 2.25 seconds?
2) When does this football reach the highest point of its flight?
3) When does this football hit the ground?

Answers

Answer:

1) the football already reached the ground

2) t = 0.625 seconds

3) t = 1.46 seconds

Step-by-step explanation:

Data

initial velocity, Vi = 20 ft/sinitial height, Hi = 5 feet.gravitational acceleration, g = 32 ft/s²

1) time, t = 2.25 s

To relate these variables we need to use the next equation:

H = Hi + Vi*t - 1/2*g*t²

H = 5 + 20*2.25 - 1/2*32*2.25²

H = -31 ft

that is, 31 ft under the line of reference. This means that the football already reached the ground

2) At the highest point the final velocity (Vf) is zero.

To relate these variables we need to use the next equation:

Vf = Vi - g*t = 0

Vi = g*t

t = Vi/g

t = 20/32

t = 0.625 s

3) When the football hits the ground, ΔH = -5 ft. Then:

ΔH = Vi*t - 1/2*g*t²

-5 = 20*t - 1/2*32*t²

0 = -16t² + 20t + 5

Using quadratic formula:

[tex] t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]

[tex] t = \frac{-20 \pm \sqrt{20^2 - 4(-16)(5)}}{2(-16)} [/tex]

[tex]t = \frac{-20 \pm 26.83}{-32}[/tex]

[tex]t_1 = \frac{-20 + 26.83}{-32}[/tex]

[tex] t_1 = -0.21 [/tex]

[tex]t_2 = \frac{-20 - 26.83}{-32}[/tex]

[tex] t_2 =1.46 [/tex]

The first result is discarded because it doesn't have physical sense. So, the football hit the ground after 1.46 seconds

let z - 2 be an odd integer, is z+1 odd or even? explain

Answers

Answer:

Even

Step-by-step explanation:

If z-2 is an odd integer, that means z itself is an odd integer because very other integer is odd. Next, an odd integer + 1 is always an even integer. Therefore, z + 1 is an even integer.

SS
question 6/12
A text message can have a maximum of 160 characters. If Daisy has typed 3 sentences with 45
characters each, then which equation can be solved to find the number of characters she can still
type. Let "c" equal number of Daisy characters left.

Answers

Answer:

c = 160 - 3(45)

Step-by-step explanation:

if c = the number of characters left;

160 = maximum number of characters that can be used in a text

3*45 = number of characters in sentences already used. (There are 3 sentences of 45 characters.)

(# of char left) = (max # char) - (# char already used) so:

c = 160 - 3*(45)

c = 160 - 135

c = 25

Which graph represents the solution for the equation 1/6 x = -2x + 5?

Answers

I think the answer is C

I will give the brainiest answer

Answers

Answer:

D

Step-by-step explanation:

This net when folded, will become a triangular prism, which is only represented by option D.

Maria average 81 on her first three History exams. the first score was 83. The second score was 4 less than the third score. What did she score on the second and third exam​

Answers

Answer:

76 on second exam, 80 on third exam

Step-by-step explanation:

First, find the total of all 3 test scores by multiplying the average by the number of elements. 81 · 3 = 243.

The first score is 83 so 243 - 83 = 160. 160 is the other two test scores combined.

To find the other 2 scores, divide 160 by 2, which is 80.

The second score is 4 less so it will be 76. The third score is 80.

What is a salesperson's commission on a $1000 sale if the commission rate is 20%?

Answers

If it were 100 it would be $20, so for 1000 you just add one more zero and it’s $200

Function gis transformed to obtain function has shown.
g(x + 2) - 5
Which statement describes how the graph of his different from the graph of g?
A
The graph of h is the graph of g shifted 5 units to the left and 2 units down.
B.
The graph of h is the graph of g shifted 5 units to the right and 2 units up.
The graph of h is the graph of g shifted 2 units to the left and 5 units down.
C.
D.
The graph of h is the graph of g shifted 2 units to the right and 5 units up.
Reset
Next

Answers

Answer:

dont get mad  if I got it wrong but I think its C

I need help on #5 on my summer packet my teacher never taught me this and I need help.

Answers

Answer:

c

Step-by-step explanation:

it can only be 0-9 that is in standard form- one digit then a decimal point

can u pls mark as brainliest?

Answer:

c

Step-by-step explanation:

hope that helps

30 POINTS FOR THIS ONE

1.

In the equation 0.5x - 8 = 1.5, the decimal coefficient is ___________________.


2.

In the equation 3/4y + 1/2 = 3 1/4, the fractional coefficient is _____________________.


3.

In the equation -2 - 6b = 32, the negative coefficient is ___________________.


4.

In the equation 5x + 9 = 3x, 3x is a like term with _______________________.

Answers

Answer:

1. 0.5

2. 3/4

3. -6

4. 5x

Step-by-step explanation:

1. A coefficient is a number that is placed in front of an algebraic term/variable in an expression or equation.

The decimal coefficient is therefore 0.5. It is the coefficient of x.

2. The fractional coefficient is 3/4. It is the coefficient of y.

3. The negative coefficient is -6. It is the coefficient of b.

4. A like term is one which contains the same type of terms as another term.

3x is a like term of 5x, because it contains a numerical term and an algebraic term to the power of 1.

Joshua uses his thermometer and finds the boiling point of ethyl alcohol to be 75 degrees Celsius. He looks in a reference book and finds that the actual boiling point of ethyl alcohol is 80 degrees Celsius. What is his percent error?

Answers

Answer:

6.25%

Step-by-step explanation:

75 - 80 = -5

Absolute value of -5 is positive so -5 = 5

5 ÷ 80 = 0.0625 (1/16)

0.0625 × 100 = 6.25%

Joshua's percent error is 6.25%

Just took this it’s 6.25%

Solve the equation: 9k - 2 - 43​

Answers

If simplified the new equation is 9k-45

What is half the sum of a number and sum

Answers

Answer:

1/2(n+5)

Step-by-step explanation:

Solve for X
Show work!
Help!

Answers

Answer:

x=19

Step-by-step explanation:

The 2 angles are inside of a right angle.  We know this because of the little square in the corner. Therefore, they are complementary angles. When they are added together, they must equal 90 degrees.

3x+11+22=90

Combine like terms by adding 11 and 22

3x+33=90

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

33 is being added to 3x. The opposite of addition is subtraction. Subtract 33 from both sides.

3x+33-33=90-33

3x=90-33

3x=57

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

3x/3=57/3

x=57/3

x=19

Answer:

X=19

Step-by-step explanation:

3x+11+22=90

3x+33=90

   -33   -33

——————-

 3x= 57

——   ———

3          3

———————

x= 19

Please Answer Quick!!

Write 2 2/3 as an improper fraction. Then multiply the improper fraction by 1/4. Write the product as a reduced fraction.

Answers

Answer:

2 2/3 as an improper fraction is 8/3

8/3 × 1/4 = 2/3

What is the greatest common factor of 90 xy2 and 12xy?
6xy
B.
6xy
C.
12xy
D.
12xy?
Reset​

Answers

Answer: B 6xy2

Step-by-step explanation:

because 90xy3 and 12xy are made by 6xy2.

Nina and Jo both ran an 8 km race. Nina took 45 minutes to run the whole race. Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km. If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?

Answers

Answer:

6.0869 mph

Step-by-step explanation:

Nina:

8 km: 45 mins

Jo:

8 km: 49 mins

Speed = distance / time

Speed= 8 / 49

A red bus and a yellow bus are both driving on the same road, in the same direction They start driving from the same place and are traveling at a constant speed. The red bust started driving 0.5 hours after the yellow bus started driving. If the red bus drives 50 miles per hour and the yellow bus drives 40 miles per hour, how many miles will each bus have to traveled when the red bus catches up to the yellow bus?

Answers

Answer:

100 miles

Step-by-step explanation:

lets find out how much the yellow bus drove before red bus started

40*0.5=20

20 miles

50x=40x+20

10x=20

x=2

they traveled for two hours until red bus caught up with yellow bus

yellow:

2*40+20=80+20=100 miles

red:

2*50=100 miles

I need help with this last question

Answers

the statement (l4x-2l = -6) is false (no solution) for any value of x because the absolute value function is always positive or 0

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