In ΔOPQ, o = 6.6 inches, p = 2.1 inches and q=6 inches. Find the measure of ∠O to the nearest 10th of a degree.

Answers

Answer 1

Answer:

The measure of ∠O is 97.2° to the nearest tenth

Step-by-step explanation:

To solve this question, we will use the cosine rule

In Δ OPQ

Side o is opposite to ∠O

Side p is opposite to ∠P

Side q is opposite to ∠Q

By using the cosine rule

o² = p² + q² - 2(p)(q)cos∠O

∵ o = 6.6 inches

∵ p = 2.1 inches

∵ q = 6 inches

→ Substitute them in the rule above

∴ (6.6)² = (2.1)² + (6)² - 2(2.1)(6)cos∠O

∴ 43.56 = 4.41 + 36 - 25.2cos∠O

→ Add the like terms in the right side

∴ 43.56 = 40.41 - 25.2cos∠O

→ Subtract 40.41 from both sides

∵ 3.15 = -25.2cos∠O

→ Divide both sides by -25.2 to find cos∠O

-0.125 = cos∠O

→ Use your calculator to find ∠O

∵ m∠O = [tex]cos^{-1}(-0.125)[/tex]

∴ m∠O = 97.18075578

→ Round it to the nearest tenth ⇒ 2d.p.

m∠O = 97.2°


Related Questions

PLEASE HELP!!!!

IT IS NOT A

A. Yes; 20 hours/painter

B. Yes; 8 hours/painter

C. No; Does not pass through the origin

D. None of the above

Answers

Answer:

C

Step-by-step explanation:

Answer:

Pretty sure it's

D. None of the above

What is the value of h(2)?
-2
-1 0 3

Answers

Answer:

103 is ur answer hope this helps

Answer:

The answer is 0 or C on Edge.

Step-by-step explanation:

Got it right. 2021.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

113

Step-by-step explanation:

Answer:

diameter =6 cm

radius =3cm

shaded area =area of square- area of circle

= a^2 - πr^2

=(6)^2-3.142(3)^2

=36-3.142×9

=36-28.278

=7.622

A circle has a radius of 13cm . Find the radian measure of the central angle 0 that intercepts an arc of length8cm . Do not round any intermediate computations, and round your answer to the nearest tenth.

Answers

Answer:

The measure of the center angle is 0.6 radians

Step-by-step explanation:

Mathematically, the length of an arc can be calculated using;

L = theta/360 * 2 * pi * r

where theta is the central angle

In this case, theta = ? , pi = 22/7 and r is 13

cm, length of arc is 8 cm

So we have ;

8 = theta/360 * 2 * pi * 13

360 * 7 * 8 = theta * 2 * 22 * 13

20,160 = 572 theta

theta = 20,160/572

theta = 35.24

let us convert this to radian measure

Mathematically, 1 degree = 0.0175 radian

Thus 35.24 degrees will be 35.24 * 0.0175 = 0.62 radians

To the nearest tenth, this is 0.6 radians

8. Robert has $50 000 in the bank. Belinda has $5 000. Compare how much money they
have using (a) subtraction and (b) division. Write your answers as sentences.

Answers

So first we will compare subtraction

So you minus fifty thousand by five thousand which would give us forty five thousand. The difference is by five thousand.

And division would be fifty thousand divided by five thousand which would give us ten.

I believe it is AAS but am not sure whether ASA could be true as well

Answers

Answer: Choice C) AAS

Nice work on getting the correct answer.

=======================================================

Explanation:

We're given that angle A = angle C. This is shown in green in the diagram below.

AB || DC so we can show that angle ABD = angle CDB by the alternate interior angle theorem. This is shown in red.

Finally, we know that BD = BD which is marked in blue.

Note how the blue segment is not between the red and green angle for any of the two triangles. So we use AAS instead of ASA. The order is important.

Solve four and six eighths minus two and three fifths.

(GIVING EXTRA POINTS AND BRAINLIEST ON THIS ONE!! *v*)

A) one and six thirteenths

B) one and three fortieths

C) two and six fortieths

D) two and three thirteens

(Here is an image if needed) :

Answers

I'm pretty sure the answer is number 2.

Answer:

b

Step-by-step explanation:

To the nearest hundredth of a yard, determine the circumference of the given circle. Approximate as 3.14. r=6

Answers

Answer:

37.68

Step-by-step explanation:

c = 2 x 3.14 x 6

Why do plants provide animals with fruits such as strawberries, apples, and mangoes?

Answers

Answer:

For seed transfer. If an animal gathers fruit and eats it or just carries it away for later consumption, it will move the seed further away from the parent plant. That way, the new plants do not take from the parent plant's resources.

What is the slope of the line that passes through 9,5 and 4,5

Answers

Answer:

0

Step-by-step explanation:

slope m = (y₂ - y₁) / (x₂ - x₁)

             = (5 - 5) / (4 - 9)

             = 0 / -5

             = 0

Answer:

(5,0

Step-by-step explanation:

Miss Kito is building a rectangular pen for her lea.She will use the side of her house for one wall of the pen;therefore she will not need any fencing on that side.On the other three sides, she will use special fencing that costs $12 per foot . She wants the entire enclosed area to be 2400 square feet. Lastly,she needs four corner that costs $5 each ?

Let x represent the length of each side of the pen perpendicular to the house and let y represent the length of the side of the pen parallel to the house.Write a function c(x) for the cost of the materials for the llama pen in terms of x. Simplify

Please explain and thank you

Answers

Answer:

The answer is "[tex]=24x+ \frac{28800}{x}+20[/tex]"

Step-by-step explanation:

The perimeter of the fence [tex]=2x+y[/tex]

cost of fence[tex]=12(2x+y)[/tex]

cost of corner ports[tex]= 4 \times 5=20[/tex]

cost of pen[tex]= 24x+12y+80.............(1)[/tex]

area of pen[tex]=2400[/tex]

[tex]xy=2400\\\\y=\frac{2400}{x}[/tex]

cost c(x)[tex]=24x+ \frac{12 \times 2400}{x}+20[/tex]

             [tex]=24x+ \frac{28800}{x}+20[/tex]

At the time this question was written, one US Dollar equaled 0.88 Euros. What would 50 Euros equal in US Dollars? Round your answer to the nearest cent.

Answers

Answer:

$56.82 US dollars

Step-by-step explanation:

Set up a proportion where x is how many US dollars there are in 50 Euros:

[tex]\frac{1}{0.88}[/tex] = [tex]\frac{x}{50}[/tex]

Cross multiply and solve for x:

0.88x = 50

x = 56.82

So, 50 Euros is approximately equal to $56.82 US dollars

An annual pass to a park costs $120. Use a percent model to find 200% of the full price of the annual pass.

200% of the full price is $____

Answers

Given:

An annual pass to a park costs $120.

To find:

The 200% of the full price using percent model.

Solution:

In the percent model,

100% = 1 box

It means 1 box represents park costs $120.

200% = 2 box

[tex]120+120=240[/tex]

It means 2 box represents park costs $240.

Therefore, 200% of the full price is $240.

-4(5x - 3) + 15
Solved please!

Answers

Answer:

Step-by-step explanation:

-20x + 12 + 15

-20x + 27

I think the answer is 75

Find the product of 3 1/5 and 5/8. Express your answer in simplest form

Answers

Answer:

8 4/5

Step-by-step explanation:

Answer:

this is the answer i hope it helps you 3 33/40

Find the length of line segment UV.

Answers

Answer:

The length of the line segment UV is 76 units

Step-by-step explanation:

In a triangle, the line segment joining the mid-points of two sides is parallel to the third side and equal to half its length

In Δ ONT

∵ U is the mid-point of ON

∵ V is the mid-point of TN

→ That means UV is joining the mid-points of two sides

∴ UV // OT

UV = [tex]\frac{1}{2}[/tex] OT

∵ UV = 7x - 8

∵ OT = 12x + 8

7x - 8 = [tex]\frac{1}{2}[/tex] (12x + 8)

→ Multiply the bracket by [tex]\frac{1}{2}[/tex]

∵ [tex]\frac{1}{2}[/tex] (12x + 8) =  [tex]\frac{1}{2}[/tex] (12x) +  [tex]\frac{1}{2}[/tex] (8) = 6x + 4

7x - 8 = 6x + 4

→ Add 8 to both sides

∴ 7x - 8 + 8 = 6x + 4 + 8

∴ 7x = 6x + 12

→ Subtract 6x from both sides

∴ 7x - 6x = 6x - 6x + 12

x = 12

→ Substitute the value of x in the expression of UV to find it

∵ UV = 7(12) - 8 = 84 - 8

UV = 76

The length of the line segment UV is 76 units

When the following quadratic equation is written in standard form, what is the value of "c"?

Answers

Answer:

it's 2

Step-by-step explanation:

a= -3/4

b=0

c=2

Which best describes the error in solving the system of linear equations?
Only the x-value is given.
The wrong value for x is given.
The blue line is graphed incorrectly.
The red line is graphed incorrectly.

Answers

Answer:

a. Only the x-value is given.

Step-by-step explanation:

Taking a look at the graph of both equations, both equations are graphed correctly, because the slope (m) and y-intercept (b) values corresponds of each equation corresponds with what we have on the graph representing each equation.

The solution of two linear equations ought to be in a coordinate pair, (x, y). This means the x-value and it's correaponding y-value of the solution needs to be stated, not just the x-value.

Thus, the correct solution. Of the two linear equations are x = 4, when y = 3.

Solution in coordinate pair form is (4, 3).

Therefore, the statement that describes the error is:

a. Only the x-value is given.

There are 279 middle school students signed up for a field trip. An adult needs to be assigned to guide every 8 students. Mr. Corcoran determines that 34 adults are needed for the field trip. Explain whether or not Mr. Corcoran is correct.

Answers

Answer:

No, because 3 students would be left over and we have to make an extra so 35. Mr.Smith is wrong.

Step-by-step explanation:

Please help 30 points for a quick response!!

Answers

I think x is 15 I’m so sorry I’m just guessing

Triangles have a total of 180°. Use the triangle below to determine the value of X.

Answers

Answer:

3x=105

x=35

Step-by-step explanation:

40+3x+x = 180 (Angle sum property)

40 +4x=180

4x = 180-40

          140

x = 140/4

       =35

 3x = 35 x 3

          105

x = 35

If it was helpful please mark me as brainliest

A train traveled at an average speed of 45 miles per hour for 40 minutes, and at an average speed of 60 miles per hour for 1 hour. What was the average speed of the train, in miles per hour, for the trip?
a.) 50, b.) 52.5, c.) 54, d.) 57,5, e.) 60

Answers

Answer:

c

Step-by-step explanation:

can anyone just explain how to do a distant rate time problems because I'm confused about them

Answers

Answer:

The formula for distance problems is: distance = rate × time or d = r × t. Things to watch out for: Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.

Step-by-step explanation:

Here is an example.

Two cars started from the same point, at 5 am, traveling in opposite directions at 40 and 50 mph respectively. At what time will they be 450 miles apart?

After t hours the distances D1 and D2, in miles per hour, travelled by the two cars are given by

D1 = 40 t and D2 = 50 t

After t hours the distance D separating the two cars is given by

D = D1 + D2 = 40 t + 50 t = 90 t

Distance D will be equal to 450 miles when

D = 90 t = 450 miles

To find the time t for D to be 450 miles, solve the above equation for t to obtain

t = 5 hours.

5 am + 5 hours = 10 am

-4/9 divided by 2/3 what would the answer be?

Answers

Answer:

-4/9*3/2

-4*3/9*2

-12/18

-2/3

Answer:

-2/3

Step-by-step explanation:

-4/9 divided by 2/3

you turn divided into multiplied and flip the second number

-4/9*3/2

you can cross multiply.

once you have simplified you should have

-2/3*1/1

simplified further to

-2/3*1

so,

-2/3 is the answer :)

don’t understand sb help

Answers

Answer:

the 3rd one

Step-by-step explanation:

Answer:

It is the second one

Step-by-step explanation:


What is the slope of the line that passes through the points (-8, 6) and (-5, -3)

Answers

Answer: slope is -3

Step-by-step explanation:

Simple, plain, easy

What is 71283922222 E Times 78232 E Divide by 8326.291213?

Answers

Answer:

4333.23777

Step-by-step explanation:

.just type it in the calculator

Borrowers choosing an adjustable-rate mortgage
pay a higher interest rate during the first few years.
are often forced to sell their homes after the first year.
often pay a lower interest rate during the first few years.
agree to accept no risk when borrowing money.

Answers

Answer:

Often pay a lower interest rate during the first few years

Step-by-step explanation:

Option c on edge. 2020

Answer:

C

Step-by-step explanation:

zoe has earned 650$ during the four weeks she worked at the rec center. the first 2 weeks she earned 220$ and 98$. the last 2 weeks she earned the same amount. how much money did zoe earn in the last 2 weeks

Answers

Answer:

The wording of this question was really confusing, but I believe the answer is 166 dollars.

Step-by-step explanation:

$220+ $98= $318

650-318=332

332/2=166

A classmate tells you that there are two Fahrenheit temperature that is the same as the Celsius temperature. They tell you it is 50 degrees and -40 degrees. Is your classmate correct or incorrect explain your reasoning.

Answers

Answer:

Step-by-step explanation:

the conversion for farenheit to celsius is to subtract 32 and multiply by 5/9.

-40-32 is -72. multiply that by 5/9 and that is -40

50-32 is 18. multiply that by 5/9 and you get 10. so no she's wrong

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