sec 5A = cosec 7A, prove that A = 7.5°​

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the cofunction identity

sec(90 - x)° = cscx° , then

7A = 90 - 5A ( add 5A to both sides )

12A = 90° ( divide both sides by 12 )

A = 7.5°


Related Questions

Mark bought a car for x dollars. One year later the car was 0.85x. What was the percent decrease.

Answers

Answer:

[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]

Alternative method:

[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]

Answer:

thr percent decrease is 15%

Step-by-step explanation:

you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%

Seth missed the due date for his credit card payment. His credit card company will
charge him $20 and an APR of 27%. What is the amount of interest he would have to
pay at the 27% APR?

Answers

20 x 1.27 = 25.4
so 27% APR will put him up to $25.4

What is the output of this function when the input is -2?

Answers

Is there a table? Where is the table?

(6x^2−5x)−(4x^2−3x+4)

Answers

Answer:

2 • (x + 1) • (x - 2)

Step-by-step explanation:

2 times (x + 1) times (x - 2)

Mary has 4 gallons of water. She wants to put 2/3 gallon in each bottle. How many bottles can she fill?

Mary can fill 4 bottles of water.

Mary can fill 14 bottles of water.

none of these

Mary can fill 6 bottles of water.

Answers

Answer:

she can fill 6 if them

Step-by-step explanation:

2/3 ÷ 4 = 1/6

A science fair has 180 entries. There
are 72 entries from sixth grade
students.

Answers

Answer:

40%

Step-by-step explanation:

Total entries=  180

Entries from 6th grade= 72

Percentage = 72/ 180 x 100= 40%

Hope its right!!!

Please help 2/4
Solve the binomial
4(3d-1)(3d+1)

Answers

Answer:Isolate the variable by dividing each side by factors that don't contain the variable.

d=−5

Step-by-step explanation:

given that ABCD is a parallelogram, find each of the following
AB
AD
< A
< D

Answers

Answer:

AB = 8

AD = 10

<A = 118

<D = 62

Step-by-step explanation:

1. AB

Because opposite sides in a parallelogram are equal, DC = AB = 8.

2. AD

Because opposite sides in a parallelogram are equal, BC = AD = 10.

3. <A

Adjacent angles are supplementary in a parallelogram, so A = 180 - 62 = 118

4. <D

Opposite angles are equal in a parallelogram, so B = D = 62

Answer:

AB = 8

AD = 10

m∠A = 28°

m∠D = 62°

Step-by-step explanation:

A few facts to remember about a parallelogram.

1.  Opposites sides are congruent

2.  Opposites angles are congruent

3.  Consecutive angles are complementary

So, AB = 8,  AD = 10,  m∠A = 90 - 62 = 28°, m∠D = 62°

If x>0 and y=0, Where is the poiny (x,y) located?

Answers

Answer:

x-axis

Step-by-step explanation:

y = 0==> x-axis

Answer:

the answer would be x-axis

Andy is buying a car.
He negotiated a 7% decrease on a £6 500 car.
He will pay the full balance in 12 equal monthly payments.
Calculate the amount paid each month.

Answers

Answer:

£503.75

Step-by-step explanation:

Andy is buying a car.

Step 1

We calculate the decrease

He negotiated a 7% decrease on a £6 500 car.

Decrease = 7% × £6500

= $455

Step 2

We calculate the new price of the car.

= Old price - Decrease

= £6500 - £455

= £6045

Step 3

We calculate the amount he pays every month.

We are told that:

He will pay the full balance in 12 equal monthly payments.

Andy's monthly payments =

New price/12 months

= £6045/12

= £503.75

Therefore, the amount he would be paying each new month = £503.75

The recommended daily intake of vitamin C for males 18 years and older is 90 milligrams. If an 18 year-old male has already consumed 36 milligrams of vitamin C, what percentage of the daily recommended amount has he already consumed?

Answers

Answer:

40%

Step-by-step explanation:

Find the volume of each figure below. Round to the nearest 10th, if necessary

Answers

Answer:

1692.5 ft³

Step-by-step explanation:

Thank you for giving the equation which would help me in solving. We know that our h which is the height is 11 ft. We have to find what the radius. Radius is the have of the diameter. In the figure, the 14 ft is the diameter. So in order to find the radius, we would divide it by 2.

14 ft ÷ 2 = 7 ft

h = 11 ft

r = 7 ft

Now plug it in the equation.

[tex]\pi[/tex]

In the equation you have this sign above. Remember this is the pi sign which is 3.14.

V = 3.14r²h

V = 3.14(7)² × 11

V = 3.14(49) × 11

V = 153.86 × 11

V = 1692.5 ft³

Hope this helps, thank you :) !!

The ratio of yellow sweets to purple sweets is 5:4.

Alice eats 3 purple sweets and the ratio is now 5:3.

Work out how many sweets there were at the beginning.

Answers

Answer:

27

Step-by-step explanation:

The ratio of yellow : purple = 5 : 4 = 5x : 4x ( x is a multiplier )

After Alice eats 3 purple sweets, then ratio is

5 : 3 = 5x : 4x - 3

Express the ratio in fractional form, that is

[tex]\frac{5}{3}[/tex] = [tex]\frac{5x}{4x-3}[/tex] ( cross- multiply )

5(4x - 3) = 15x

20x - 15 = 15x ( subtract 15x from both sides )

5x - 15 = 0 ( add 15 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Then

number of sweets at beginning = 5x + 4x = 9x = 9(3) = 27

Find the coordinated points which quadrasects the line segments joining the points A(-3,6) and B (4,-2)

Answers

Answer:

The coordinated points which quadrasects the line segments joining the points A and B are [tex]\left(-\frac{5}{4},4\right)[/tex], [tex]\left(\frac{1}{2}, 2 \right)[/tex] and [tex]\left(\frac{9}{4},0 \right)[/tex].

Step-by-step explanation:

Let [tex]A(x,y) =(-3,6)[/tex] and [tex]B(x,y) = (4,-2)[/tex], when the line segment is quadrasected, it means that segment is divided into four equal parts. The locations are determined by the following expressions:

[tex]\vec R_{1} = \vec A + \frac{1}{4}\cdot \overrightarrow{AB}[/tex] (1)

[tex]\vec R_{2} = \vec A + \frac{1}{2}\cdot \overrightarrow{AB}[/tex] (2)

[tex]\vec R_{3} = \vec A + \frac{3}{4}\cdot \overrightarrow{AB}[/tex] (3)

Where:

[tex]\overrightarrow{AB} = B(x,y)-A(x,y)[/tex]

[tex]\overrightarrow{AB} = (4,-2) - (-3,6)[/tex]

[tex]\overrightarrow{AB} = (7,-8)[/tex]

The coordinated points which quadrasects the line segments joining the points A and B are, respectively:

[tex]\vec R_{1} = (-3,6)+\frac{1}{4} \cdot (7,-8)[/tex]

[tex]\vec R_{1} = \left(-\frac{5}{4},4\right)[/tex]

[tex]\vec R_{2} = (-3,6)+\frac{1}{2} \cdot (7,-8)[/tex]

[tex]\vec R_{2} = \left(\frac{1}{2},2 \right)[/tex]

[tex]\vec R_{3} = (-3,6)+\frac{3}{4} \cdot (7,-8)[/tex]

[tex]\vec R_{3} = \left(\frac{9}{4},0\right)[/tex]

The coordinated points which quadrasects the line segments joining the points A and B are [tex]\left(-\frac{5}{4},4\right)[/tex], [tex]\left(\frac{1}{2}, 2 \right)[/tex] and [tex]\left(\frac{9}{4},0 \right)[/tex].

Solve the inequality.
x + 7 > 18
The solution is __.
Graph the solution.

Answers

Answer:

7+18=25 that's the answer

aidez moi en math je donne le maximum des points!​

Answers

Step-by-step explanation:

‌[tex]\large \mathcal{Answer}[/tex]

Answer:

Ils sont amicaux, regardez sur le site nosdevoirs

Step-by-step explanation:

messed up and didnt put the attachment on the last post

Answers

Answer :-

9(3+√3) feet

Step by step explanation :-

A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .

Now here the other angle will be = (90°-30°)=60° .

In ∆ABC ,

=> sin 30 ° = AB / AC

=> 1/2 = AB / 18ft

=> AB = 18ft/2

=> AB = 9ft .

Again In ∆ ABC ,

=> cos 30° = BC / AC

=> √3/2 = BC / 18ft

=> BC = 18 * √3/2 ft

=> BC = 93 ft .

Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .

Hence the perimeter of the triangular pathway shown is 9 ( 3 + 3 ) ft .

what is 33493.33333 rounded to the nearest tenth?​

Answers

Answer:

33493.33

Step-by-step explanation:

Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 10 miles, how much will her mother donate?

Answers

The answer is $12
Hope this answer helps :)

8. Calculate the final price including tax for a watch that costs $139.99 that is on sale for 20% off.

a) $158.19
b) $111.99
c) $139.99
d) $126.55

Answers

Answer:

should be B

Step-by-step explanation:

however tax rate is different in different states sooo

What is 13 divided by 0.22 and round to the nearest hundredth

Answers

Answer:

59,09

.........................................................

Help me with this ASAP

Answers

Answer:

The slope is 3To graph it you should put a point at any of the points that are in the table. Some easy ones are (0,0) and (2,6)

Step-by-step explanation:

To find the slope you need to follow the formula shown below.

Slope (m) = ΔY/ΔX

Now solve

ΔY = 6 – 0 = 6

ΔX = 2 – 0 = 2

Write as a fraction

6/2

Convert to a number

6/2 = 3

And you have your slope. Now you just have to plot the points on the graph. As I said before, you can use any two points from the table.

is it a, b, c, or d?

Answers

Answer:

The answer is B. 4,7.5,8

Step-by-step explanation:

Becouse A and C Both of them is Right-angled triangle and D is Obtuse triangle

Find the length of side x in simplest radical from with a rational denominator.​

Answers

Answer:

4

Step-by-step explanation:

The value of the hypotenuse x will be equal to √6.

What are trigonometric identities?

Equations involving trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities. The Pythagorean Theorem serves as the basis for some of the most popular trigonometric identities, including.

The study of correlations between triangles' side lengths and angles is known as trigonometry.

Given that the angles are 45 and the base is √3 the hypotenuse will be calculated as,

cosθ = Base / Hypotenuse

cos45 = √3 / x

x = √3 / ( 1 / √2)

x = √6

Therefore, the value of the hypotenuse x will be equal to √6.

To know more about trigonometry follow

https://brainly.com/question/24349828

#SPJ2

Which set of ordered pairs represent y as a function of x?
a) {(-5,3) (6,2) (8,-9) (-5,4)}
b) {(9,4) (8,4) (9,5) (8,5)}
c) {(6,8) (7,8) (8,8) (9,9)}
d) {(-7,4) (-7,5) (-7,10) (-7,6)}

Answers

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

Answer with Explanation:

To qualify as a function, each x value may not have more than 1 Y value.

This rules out A, B, and D.

The answer is C.

Why is A incorrect? -5 (the x value) has more than one y value so it is wrong.

Why is B incorrect? 9 (the x value) has more than one y value so it is wrong.

Why is D incorrect? -7 (the x value) has more than one y value so it is wrong.

You can also use the vertical line test to graph these pairs. Then, test by drawing a vertical line through the graph. If the vertical line goes through more than 1 pair, it is not a function.

Given that for all values of
6) = 4x+p
x) = x + 1
and f = 12x + 4
where p and are constants
Work out the values of panda

Answers

Answer:

f=−px+8x−2/x

Step-by-step explanation:

its a fraction

Which graph best represente y 6x13

Answers

Answer:

B

Step-by-step explanation:

B is most likely to be the answer

Find the area of triangle ABC.
Give your answer correct to 1 decimal place.
А
9 cm
C
10 cm
B
8cm​

Answers

The area of the triangle ABC is 34.2 square centimeters

How to determine the triangle area?

The complete question is in the image

Start by calculating the semi-perimeter using:

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (9 + 10 + 8)

Evaluate

s = 13.5

The area is then calculated as:

[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]

This gives

[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]

Evaluate

A = 34.2

Hence, the area of the triangle ABC is 34.2 square centimeters

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

x 1 у 3 4 6. 516
What is R​

Answers

Answer:

the question is not correct. please rewrite the question.

Help!!! I give CROWN T-T

Answers

Answer:

120, remember the angles have to add up to 180

Step-by-step explanation:

Answer:

60 because 30+30=60 and a triangle is 180° so 180-60= 120 and it's a line so 180-120=60 ifykyk

Other Questions
An accelerometer has a damping ratio of 0.5 and a natural frequency of 18,000 Hz. It is used to sense the relative displacement of a beam to which it is attached. (a)If an impact to the beam imparts a vibration at 4500 Hz, calculate the dynamic error and phase shift in the accelerometer output. (b)Calculateits resonance frequency.(c)What isthe maximumpossiblemagnitude ratio that the system can achieve Write answer in scientific notation Question 5 (1 point) Write the decimal 0.018 as a quotient of two integers.Question 5 options:18/10018/1000018/100018/10 ( from the story the outsiders)In what kind of place does Johnny want to live and why do you think he feels that way? A lion asleep in his lair woken up by a mouse running over his face How can a journalist be sure to avoid conflicts of interest? Why did the family have so many visitors? THE AMBITIOUS GUESTThey lived in a very popular town.Travelers would by food from them.They lived on a well-traveled road.Travelers paid to sleep in their home. Pls help me, I don't know how to do it?:( PLEASE HELP I'LL GIVE BRAINLIEST ANSWER!!!This image shows the relative frequency of banded and non-banded snails in a population. If the frequency of banded snails decreased to 60% and non-banded snails increased to 40%, would you consider the population to be evolving? Please help fasttttttt comparison between philippine mythology to western mythology converd improper fraction into mixed fraction 3/20 Last Year5. The frequency table shows the scores from rolling a dice 10 times.Score Frequency1 22 23 14 05 36 2work out the mean write 8z + z - 5 - 9z +2 in simplest form In AJKL, the measure of ZL=90, JK = 7.3 feet, and KL = 4.7 feet. Find the measureof ZJ to the nearest tenth of a degree. A spinner is divided into 12 equal parts. The probability of spinning an x is How many of the parts are labeled x?7934 What is a person's gender identity?A. The gender a person is born withB. The gender a person feels likeOC. The gender others think you areD. The gender you wish you were What is the area of the figure? O 1240 units? 0 1250 units? o 2490 units? 0 3730 units How do the vacuoles and cytoplasm contribute to maintaining homeostasis in a cell? Divide: 5 and 2/3 divided by 3/2