Show how to find m<1 using the inverse cos of <1.

Show How To Find M&lt;1 Using The Inverse Cos Of &lt;1.

Answers

Answer 1

[tex]\text{We know that,}\\\\\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\text{For}~ \angle1,\\\\~~~~~~\cos \angle 1 = \dfrac bc\\\\\\\implies \cos \angle 1 = \dfrac 35\\\\\\\implies \angle 1 = \cos^{-1} \left( \dfrac 35 \right)\\\\\\\implies \angle 1 = 53.13^{\circ}\\\\\\\text{For} ~ \angle 2,\\\\~~~~~~~\cos \angle 2 = \dfrac ac\\\\\\[/tex]

[tex]\implies \cos \angle 2 = \dfrac 45\\\\\\\implies \angle 2 =\cos^{-1} \left( \dfrac 45 \right)\\ \\\\\implies \angle 2 = 36.86^{\circ}[/tex]

[tex]\text{Hence,}~~ m\angle 1 = 53.13^{\circ}~~ \text{and}~~ m\angle 2 =36.86^{\circ}.[/tex]


Related Questions

If the area of a circle is 74.2 ft squared, what would the circumference of the circle be?

Answers

Answer:

[tex]C=30.536\ ft[/tex]

Step-by-step explanation:

Step 1:  Determine the radius

[tex]A = \pi *r^2[/tex]

[tex]74.2\ ft^2=\pi *r^2[/tex]

[tex]\frac{74.2\ ft^2}{\pi }=\frac{\pi *r^2}{\pi }[/tex]

[tex]23.619\ ft^2=r^2[/tex]

[tex]\sqrt{23.619\ ft^2}=\sqrt{r^2}[/tex]

[tex]4.8599\ ft=r[/tex]

Step 2:  Determine the circumference

[tex]C=2*\pi *r[/tex]

[tex]C=2*\pi *4.8599\ ft[/tex]

[tex]C=30.536\ ft[/tex]

Answer:  [tex]C=30.536\ ft[/tex]

what is -2(-y) in expanded form ​

Answers

Answer:

2y

Step-by-step explanation:

[tex](-2)(-y) = (-1)(2)(-1)(y) = (-1)^2\ccdot 2y = 2y[/tex]

help please?? find the area of the rhombus.

Answers

The area of the rhombus with length of diagonals 12 cm and 12 cm is 72 centimetre squared.

Area of a rhombus

The area of a rhombus can be represented mathematically as follows:

area of a rhombus  = ab / 2

where

a and b are the length of the diagonal

a = 6 + 6 = 12 cm

Therefore, let's find b

tan 45 = opposite / adjacent

tan 45 = 6 / x

x = 6 / tan 45

x = 6 / 1

x = 6

b = 6 + 6 = 12 cm

Therefore,

area = 12 × 12 / 2

area = 144 / 2

area = 72 cm²

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Two siblings, Miko and Cheko, receive some pocket money every month. This month, the ratio of Miko's pocket money to Cheko's pocket money is 8:12. Cheko's pocket money is $660. How much must Cheko give to Miko such that each of them have an equal amount of pocket money?

Answers

Cheko must give $110 to Miko so that each of them has an equal amount of pocket money, which is $550.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of Miko's pocket money to Cheko's pocket money.

= 8:12

= 2:3

Now,

Let's represent Miko's pocket money as 2x and Cheko's pocket money as 3x.

We know that,

3x = $660
x = $220

Miko's pocket money.

= 2x

= 2($220)

= $440.

To make their pocket money equal,

Cheko needs to give half of the difference between their pocket money to Miko.

The difference between their pocket money.

= $220 (i.e., $660 - $440).

Half of that is $110.

Therefore,

Cheko must give $110 to Miko so that each of them has an equal amount of pocket money, which is $550.

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A sphere has a volume of 904 cm3. If its radius is increased by a scale factor of 4, then the new volume is 57,856 cm3.

Answers

Answer:

what exactly are you looking for?

Step-by-step explanation:

10Which best describes a system of equations that has infinite solutions?

Answers

Answer:

FOR CONNEXUS UNIT 3 LESSON 1 SOLVING SYSTEMS BY GRAPHING 1. C 2. A 3. A 4. A

Step-by-step explanation:

What is the slope of a line that passing through the points ( 6 , -10 ) and ( 8, -18) ?

Answers

Answer:

Slope = -4

Step-by-step explanation:

Given:

Point 1: (6,-10)Point 2: (8,-18)

Rate of change (Slope) formula:

[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1} }[/tex]

Where:

y₂ = y-coordinate of second point = -18y₁ = y-coordinate of first point = -10x₂ = x-coordinate of second point = 8x₁ = x-coordinate of first point = 6

Substitute the coordinates of the given points in the formula to determine the slope of the line (Rate of change).

[tex]\implies \text{Slope} = \dfrac{(-18) - (-10)}{8 - 6 }[/tex]

Finally, let's simplify the fraction on the right hand side as needed.

[tex]\implies\text{Slope} = \dfrac{(-18) + 10}{8 - 6 }[/tex]

[tex]\implies \text{Slope} = \dfrac{-8}{2 } = -4[/tex]

Therefore, the slope of a line that passes through (6 , -10 ) and (8, -18) is -4.

please help asap i need this for my essay (35 points)

ʏᴏᴜ’ᴠᴇ ʟᴇᴀʀɴᴇᴅ ᴀʙᴏᴜᴛ ꜰᴜɴᴄᴛɪᴏɴ ɴᴏᴛᴀᴛɪᴏɴ ɪɴ ᴘʀᴇᴠɪᴏᴜꜱ ʟᴇꜱꜱᴏɴꜱ,
ʙᴜᴛ ᴄᴏᴜʟᴅ ʏᴏᴜ ᴜꜱᴇ ꜰᴜɴᴄᴛɪᴏɴ ɴᴏᴛᴀᴛɪᴏɴ ᴛᴏ ᴀᴅᴅ ᴛᴡᴏ ꜰᴜɴᴄᴛɪᴏɴꜱ?
ʜᴏᴡ ᴅᴏ ʏᴏᴜ ᴛʜɪɴᴋ ʏᴏᴜ ᴄᴏᴜʟᴅ ꜱɪᴍᴘʟɪꜰʏ ꜰ(x) + ɢ(x) ɪꜰ ꜰ(x) = 3x + 2 ᴀɴᴅ ɢ(x) = 4x?
ᴡʜᴀᴛ ᴀʙᴏᴜᴛ ᴀ ꜰᴜɴᴄᴛɪᴏɴ ᴏꜰ ᴀ ꜰᴜɴᴄᴛɪᴏɴ ꜱᴜᴄʜ ᴀꜱ ꜰ(ɢ(x))?
ʜᴏᴡ ᴅᴏ ʏᴏᴜ ᴛʜɪɴᴋ ꜰ(ɢ(x)) ᴄᴏᴜʟᴅ ʙᴇ ꜱɪᴍᴘʟɪꜰɪᴇᴅ?
ᴡʜᴀᴛ ꜱɪᴛᴜᴀᴛɪᴏɴꜱ ᴄᴀɴ ʏᴏᴜ ᴛʜɪɴᴋ ᴏꜰ ᴡʜᴇʀᴇ ᴄᴏᴍʙɪɴɪɴɢ ꜰᴜɴᴄᴛɪᴏɴꜱ ᴡᴏᴜʟᴅ ʙᴇ ᴜꜱᴇꜰᴜʟ?

different font because brainly is censoring it for no reason?

Answers

Answer:

I think you could combine functions (not sure don't hold me to it), but im not sure of the actual process. Furthermore, combining functions could be useful if you were an architect.

Step-by-step explanation:

Johnny went to the park at 10:45am and left at 12:00pm. How long was he at the park?

Answers

[tex]\huge\mathcal{\fbox{\fbox\red{Hello}}}[/tex]

[tex]\large\underline{\mathbb{AnSwEr}:}[/tex]

10:45 am to 11:00 am : 15 minutes

11:00 am to 12:00 pm= 1 hour

Total Time= 1 hour 15 minutes.

so he was 1 hour 15 minutes at the park.

given:

went at 10:45 AM

left at 12:PM

to find:

the duration he was at the park.

solution:

( to find the duration just find the difference of the time he left and went.

= 1 hour 15 mins.

therefore, he was at the park for 1 hour 15 mins.

Find the total surface area of this square based
pyramid.
10t
10 ft

Answers

Answer:

300 is the answer

Step-by-step explanation:

area of triangle-BxH/2

area of square- LxW

10x10=100/2=50

50x4=200

+100

=300

Janet wants to solve the equation y startfraction y squared minus 5 over y squared minus 1 endfraction = startfraction y squared y 2 over y 1 endfraction. what should she multiply both sides of the equation by? y y2 – 1 y 1 y2 y 2

Answers

An equation is formed of two equal expressions. Janes should multiply both sides of the equation by (y²-1).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.


The equation that is given is an equation with a mixed fraction, therefore, the denominator with the highest power should be multiplied on both sides of the equation. The equation that is given to us

[tex]y + \dfrac{y^2-5}{y^2-1} = \dfrac{y^2+y+2}{y+1}[/tex]

As we can see in the equation that there are 2 denominators, which are,

y²-1y+1

In the two of the expressions that are stated above the expression (y²-1) is of a higher power.

Hence, Janes should multiply both sides of the equation by (y²-1).

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Which expression has the greatest value? A-2 - 4, +16 4+1 B-2-(-4) +16 C -2 +4 +(-16) D 2-4-(-16)​

Answers

option B

hope it helps...!!!

Answer number 16 please

Answers

Jim's cards increased more

a brick has a mass od 1,200 grams. what is the mass of the brick in kilograms?

Answers

Answer:

1.2 kilograms

Step-by-step explanation:

1 kilogram is equal to 1000 grams

Therefore we can divide the weight by 1000 in order to find the amount of kilograms

1200/1000 = 1.2

Answer:

1.2

Step-by-step explanation:

1 gram is 0.001 kilograms

or 1000 kilograms to a gram

so 1200 grams is 1.2 kilograms

4. Triangle D is the image of Triangle A~You can show that Triangle An Triangle D using a sequence of transformations. Which of these statements about Triangle A and Triangle D is true?

A. triangle D is to the left and down from triangle A.
B. triangle D is dilated from triangle A.
C. triangle A and triangle D have interior angle measures that sum to less than 180°
D. triangle A and triangle D are congruent.

Answers

Answer:

C or A po Yan sagut ko sa dalawa pumili Lang ako

Omar and Zina Aboud found that the dealer's cost of the base price was $16,558. 16 and the dealer's options cost was $611. 60. The consumer paid the $475. 00 destination charge. If the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, find the car's sticker price

Answers

Assuming the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, The car's sticker price is: $17,644.76 and the dealer price is $16,246.72.

Car's sticker price and dealer's price

a. Car's sticker price:

Using this formula

Car's sticker price=Base price+Options cost+Destination charge

Let plug in the formula

Car's sticker price=$16,558. 16 + $611. 60+$475. 00

Car's sticker price=$17,644.76

b. Dealer price:

Dealer's price=Percent of base price+Percent of options cost+Destination charge

Let plug in the formula

Dealer price=16,558. 16+$611. 60+$475.00

Dealer price=$16,246.7152

Dealer price=$16,246.72 (Approximately)

Inconclusion  the car's sticker price is: $17,644.76 and the dealer price is $16,246.72.

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Over time, Bailey has buried 4 large bones and 6 small bones in a hole. What is the ratio of small bones to large bones in the hole?

Answers

Answer: the ratio is 6:4

Step-by-step explanation:

the amount of large bones is 4 so:4 and the number of small bones is 6 so  6:

so the answer is 6:4

Answer:

3:2

Step-by-step explanation:

4/2=2

6/2=3

find the common factor which is 2, divide both by 2

please mark me brainest

what is the area of base for 7mm height and 7mm radius cylinder?​

Answers

Answer:

153.94 mm^2

Step-by-step explanation:

area of base = area of a circle = Pi * radius squared

radius squared = 49

area of base =  Pi * 49

area of base =  153.94

Which of the following conclusions is not supported by this diagram?
There are currently several million people living in the country.
Slightly more boys than girls were born during the past five years.
O The population growth has been steadily increasing for the past 25 years.
O The country experienced a population "boom" between 30 and 35 years ago.

Answers

Answer:

The answer should be A

Step-by-step explanation:

Hope this helps.Tell me if its wrong.

The population growth has been steadily increasing for the past 25 years is not supported by this diagram. Correct option is A.

The diagram does not provide information about the population growth trends for the past 25 years. It only shows the population pyramid at a specific point in time, with age and gender distributions. It does not indicate the population growth rate over the last 25 years or whether it has been increasing steadily during that period.

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Which equation is represented by the graph below?
i’ll make brainlyesttttt

Answers

Answer:

y=e^x - 4

Step-by-step explanation:

The log functions decrease with increasing x.  The line shown increases as x increases, so it must be one of the two e^x equations.  We can decide which one by calculating which equation povides the correct values to match the two points the curve crosses the y and x axes.

The graph shows the line crossing the y axis at -3 (0,-3)

It shows it crossing the x axis at a little over 1, perhaps 1.4 (1.4,0).  

When x=0, e^0 = 1.  

Look at the point (0,-3):  

We know the e term will be 1 (e^0 = 1), so for y to be -3, we need to subtract 4:  The form e^x - 4  would yield a value for y, when x is 0, of y = 1 - 4 or -3.

Check the other point (1.4,0):

y = e^1.4  is equal to 4.00

y = 4.00 - 4

y = 0

This point is also correct (1.4,0)

The correct equation is y=e^x - 4

What is the shape of A(-5,1) B(-2,4) C(3,1) D(0,-4)

Answers

Answer: Parallelogram

Step-by-step explanation: Roughly sketched.

Use whole numbers and decimals to write 19.06 in expanded form.

Answers

Answer:

90.125

Step-by-step explanation:

Answer:

Step-by-step explanation:

19.125

a high school club is researching a tour package offered by the island kayak company. the company charges $35 per person and $245 for the tour guide. which function represents the total cost, c(x), of this kayak tour package for x club members? A. C(x) = 35x B. C(x) = 35x+245 C. C(x) = 35(x+245) D. C(x) = 35 + (x+245)

Answers

The function that represents the total cost, c(x), of this kayak tour package for x club members is 245 + 35x

How to calculate the total cost on a package?

According to the given question, we have the following parameters

Amount charged on tour guide = $245

Let the total number of club members charged be "x", such that if the company charges $35 per person, the total cost on "x" members will be 35x

Determine the total cost

Total cost =  Amount charged on tour guide + cost of "x" members

Total cost = 245 + 35x

Hence the function that represents the total cost, c(x), of this kayak tour package for x club members is 245 + 35x

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Determine the arc length of 24pi find the radius​

Answers

Input interpretation :
Length (24,pi)
Result: 2

What is the median, first quartile third quartile and interquartile of 38 46 55 56 558 59 61 65 67 75

Answers

Answer:

Median = 58.5

Q1 = 55

Q3 = 65

Interquartile = 10

Step-by-step explanation:

first let’s correct the data set :

It’s 38 46 55 56 58 59 61 65 67 75  not   38 46 55 56 558 59 61 65 67 75

Data set : 38 46 55 56 58 59 61 65 67 75

Median:

After we put Our data set from Smallest to largest

we define the median as the middle number of the data set but our set consists of an even number which is 10

In this case the median is the average of the two middle numbers which are the 5th and 6th numbers

38 46 55 56 [58 59] 61 65 67 75

Then

Median = (58+59)/2 = 117/2 = 58.5

quartile 1 : It’s just the median of the lower set of numbers which means it’s the median of : 38 46 55 56 58

Then Q1 = 55 because it’s the middle number.

quartile 3 : It’s just the median of the upper set of numbers which means it’s the median of : 59 61 65 67 75

Then Q3 = 65  (Easy to spot)

Interquartile = Q3 - Q1 = 65 - 55 = 10

9. Elena is selling tickets for an amusement
park. She sells triple the number of
student tickets as adult tickets and
she sells 8 fewer senior tickets than
adult tickets
a Write expressions for the number of
adult tickets, student tickets, and
senior tickets, using a as the number of adult tickets
b. Using your answers from part b, write
a simplified expression for the total
number of tickets Elena sells
1
C. Elena sells 15 adult tickets, does
she sell at least 100 total tickets?
Show your work

Answers

Step-by-step explanation:

A) a = students tickets

3a = adult tickets

3a+8 = senior tickets

B) a + 3a + 3a + 8 = Tt

C) 15 + 3(15) + 3(15) + 8 = 113

Therefore, she sells at least 100 total tickets

Brainliest to answer correct Nell wrote the expression x + 0.12x = 1.12x to show that “increase by 12%” is the same as “multiply by 1.12”. Write a similar expression for “decrease by 26%”. What does it show?

Answers

Answer

To solve the equation, factor x

2

−7x+12 using formula x

2

+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=−7

ab=12

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 12.

−1,−12

−2,−6

−3,−4

Calculate the sum for each pair.

−1−12=−13

−2−6=−8

−3−4=−7

The solution is the pair that gives sum −7.

a=−4

b=−3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−4)(x−3)

To find equation solutions, solve x−4=0 and x−3=0.

x=4

x=3

Step-by-step explanation:

is y=-x+2 a linear equation

Answers

Answer:

yes it is

Step-by-step explanation:

it is linear because the number can fall on both the x and y axis

Answer:

y = -x + 2 is a Linear Equation.

Step-by-step explanation:

The equation is in slope-intercept form of a linear function.

Slope-intercept form: y = mx + b ---> y = y, -x = mx, b = 2

Luke’s payment on his new phone will be $70 per month for 12 months. Assuming the phone costs $830 at sale, how much interest will he have paid when he pays the loan on fuel

Answers

1.2048192771084%
Because 830 times .012048192771084 equals 840 which is 70 times 12

The height of a triangle is 4 feet less than the length of its base, b. The area of the triangle is 30 square feet.
Find the base and the height of the triangle.

Answers

Answer:

b = 10 ft , h = 6 ft

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

let base = b theh height h = b - 4

given A = 30 , then

[tex]\frac{1}{2}[/tex] b(b - 4) = 30 ( multiply both sides by 2 to clear the fraction )

b(b - 4) = 60 ← distribute parenthesis on left side by b

b² - 4b = 60 ( subtract 60 from both sides )

b² - 4b - 60 = 0

(b - 10)(b + 6) = 0

equate each factor to zero and solve for b

b - 10 = 0 ⇒ b = 10

b + 6 = 0 ⇒ b = - 6

however, b > 0 , then b = 10

and h = b - 4 = 10 - 4 = 6

then base is 10 ft and height is 6 ft

Other Questions
Which type of brush is best for stimulating the scalp?. PLEASE HELP!!! 30 POINTS!!! Eating fast food is not bad if you only eat once a week fact opinion evidence Read the two passages from sugar changed the world. slave owners fought back, arguing that owners should be able to list their slaves as property when they arrived in france and take them with them when they left. though most parts of france agreed to this, lawmakers in paris hesitated. pierre lemerre the younger made the case for the slaves. "all men are equal," he insisted in 1716exactly sixty years before the declaration of independence. to say that "all men are equal" in 1716, when slavery was flourishing in every corner of the world and most eastern europeans themselves were farmers who could be sold along with the land they worked, was like announcing that there was a new sun in the sky. in the age of sugar, when slavery was more brutal than ever before, the idea that all humans are equal began to spreadtoppling kings, overturning governments, transforming the entire world. sugar was the connection, the tie, between slavery and freedom. clarkson and others who believed as he did, who in the coming decades would be called abolitionists, realized that while that link gave the english a stake in slavery, it also gave the antislavery forces an opportunity. if they could reverse the flowmake the horrors of slavery visible to those who benefited from itthey might be able to end the vile practice forever. the abolitionists were brilliant. they created the most effective public relations campaign in history, inventing techniques that we use to this day. when he spoke, clarkson brandished whips and handcuffs used on slaves; he published testimonials from sailors and ship doctors who described the atrocities and punishments on slave ships. when olaudah equiano published his memoir, he educated his readers about the horrors of the slave trade. and then, when the english began to understand what slavery really was, clarkson and others organized what we would call a boycott of "the blood-sweetened beverage." which statement best explains how the authors develop their claim across the two passages? both passa Please help me :) :))))))) Question 31 of 46What is the x-intercept of the logarithmic function below? F(x)=log0.6x An object is at rest on a tabletop. Earth pulls downward on this object with a force equal in magnitude to mg. What is the interaction pair to this force In what order of listing is the visible light in the electromagnetic waves The graph below represents a function.Which single transformation could be applied to the graph so that it no longer represents a function?A. reection across the x-axis B. reection across the y-axis C. translation 5 units to the left D. rotation of 90 clockwise about the origin Your grandmother is giving you $1,000 as a graduation present but has indicated that you must open an account with a financial institution so you have financial foundations in place when you start college. In town, there are a commercial bank, credit union, and a savings and loan. Using the PACED model, compare these three institutions to determine which one you would select and explain why. Choose all sequences of transformations that produce the same image of a given figure.a reflection across the y-axis followed by a clockwise rotation 90 about the origina reflection across the y-axis followed by a counter-clockwise rotation 90 about the origina clockwise rotation 90 about the origin followed by a reflection across the x-axisa counter-clockwise rotation 90 about the origin followed by a reflection across the y-axisa reflection across the x-axis followed by a counter-clockwise rotation 90 about the origin pls help me plsI will give brainliestpls pls help pls Carbon is . . . . . . . Why do you not want to stand still when on offense?Question 2 options:It makes you very easy to cover.Your coach will take you out of the game.Its lazy.It makes it harder for the defense to cover you. How did the early Industrial Revolution change the nature of labor in the United States? A. It forced many people to work for a wage. B. It drove many people to start subsistence farms. C. It placed a great value on domestic workers within the home. D. It created an economic disaster for unskilled workers. You and your younger sister (who weighs half as much you do) are at a skating rink. You are both wearing roller skates and are facing each other. What will happen to your and your sister's motion if you push against each otherYou move forward and your sister moves backward at a faster rate. You both move forward, but you accelerate at a greater rate. You move backward and your sister moves forward at a faster rate. You both move backward but your sister accelerates at a greater rate How to get bonded and insured for a small business?. Answer ASAP and whoever get it right can have brainliest! 15. Choose the best answer. What causes chromosomal disorders? Please help me! Thanks a lot!