In ΔNOP, n = 7.4 cm, o = 8.7 cm and ∠P=61°. Find the area of ΔNOP, to the nearest 10th of a square centimeter

Answers

Answer 1

Answer:

28.15 cm²

Step-by-step explanation:

In ΔNOP, n = 7.4 cm, o = 8.7 cm and ∠P=61°. Find the area of ΔNOP, to the nearest 10th of a square centimeter

For the above question, we are given 2 sides and an angle.

The formula to find the area of ΔNOP

1/2 × a × b × sin θ

From the above question:

θ = 61°

a = 7.4 cm

b = 8.7 cm

Hence,

1/2 × 7.4 × 8.7 × sin 61

= 28.154008373 cm²

Approximately to the nearest tenth = 28.15 cm²


Related Questions

Leticia bought a new tablet for $425. She had to pay a sales tax of 8%.


What was the amount of sales tax she paid on the tablet?               Sales Tax: $


What was the total cost after sales tax that Leticia paid for the tablet?      Total: $


Answers

Sale Tax: $34
Total: $459

Step to solve:
To find sale tax you would need to multiple 425, the cost of the tablet by 8% or 0.08 in decimal form to get the answer 34.

To find the total add the sale tax, 34, and the cost of the tablet, 425, to get the total, 459 dollars.

find the missing term in the equation below (?+5)+(3x-2)=8x+3

Answers

Answer: 5x

Step-by-step explanation:

5x + 3x = 8x

Answer: Question

find the missing term in the equation below (?+5)+(3x-2)=8x+3

(5x+5)+(3x-2)=8x+3

5x+5+3x-2

5x+3x+5-2

8x+3

therefore, answer proved

PLZ ACCEPT MY EFFORT

5 STAR +THANKS  :(

The answer is x=117 but need help finding it

Answers

Answer:

x=127 degrees

Step-by-step explanation:

look at the image also it's 127 not 117

Jimmy won 82 super bouncy balls playing basketball at the county fair. At school he gave three to every student in his math class. He only has 4 remaining. How many students are in his class? Your answer

PLS HELPPP​

Answers

Answer:

27

Step-by-step explanation:

so what you need to do is divide 82 and 3 and you get 27.33333333333333 and we know that you can't have part students so you round and that leaves you with 27 people.

Answer:

27

Step-by-step explanation:

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Answers

I believe it’s B I apologize if it’s wrong
I agree with the fist answer it’s B.

Elisa asked random customers at two different stores in Austin

Answers

Answer:

That does to make sense...

Maybe extend the question

Pentagon PQRST is shown on the coordinate grid below . Given that the pentagon was rotated 180 ° clockwise and labeled P'Q'R'ST , what are the coordinates of T ?

Answers

Answer:

Step-by-step explanation:

Given is a pentagon. It has 5 sides

In a certain guessing game , each player begins with 40 coins. A player loses 3 coins when he or she makes an incorrect guess. When a player runs out of coins, the player is out of the game. The last player with coins remaining wins the game. If the y-value is the number of coins remaining and the x-value is the number of incorrect guesses, the 40 coins would represent what value in a graph ?

Answers

a certain guessing game, each player begins with 40 coins. A player loses 3 coins when he or she makes an incorrect guess. When a player runs out of coins, the ..

Caleb invested $6,200 in an account paying an interest rate of 7 1/2% compounded
quarterly. Sophie invested $6,200 in an account paying an interest rate of 7 7/8%
compounded monthly. To the nearest dollar, how much money would Sophie have in
her account when Caleb's money has doubled in value?

Answers

Oh this is a hard one I will get back to you whenever I get it

HELP!

Eric bought 16 ounces of coffee beans for
$14.40. At this rate, how much would 11 ounces
of coffee beans cost?

Answers

Answer:

11 ounces cost 9.90$.  

Step-by-step explanation:

Each ounce cost .90 cents.

Hope this helped!

How far is mercury from Neptune?

Answers

29.70 AU


Step by step:

5x + 8 = 23

Solve x.

Please

Answers

Answer:

X=3

Step-by-step explanation:

I got a calculator.  

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

First you want to subtract 8 from 23

[tex]23-8=15[/tex]

Now take 15 and divide by 5

[tex]15/5=3[/tex]

3 is the final answer

The sum of the ages of my 3 children is 45 years.
If their ages are consecutive odd integers,
how many years old is my oldest child?
A) 17
B)19
C) 21
D) 23

Answers

I think A, but im not 100% sure

Aaron wants to buy sod for his backyard. What is the amount of area he will need to cover? A)14in B)16in C)45.9 in D) 29.9in

Answers

Answer:

29.9 inches squared

Step-by-step explanation:

I just took this and got the answer right!!

What value of makes this equation true? =92 =60 =38 =76

Answers

Answer:

y = 60

Step-by-step explanation:

Given

22 + 54 = y + 16 , that is

76 = y + 16 ( subtract 16 from both sides )

60 = y

Answer: y=60

Step-by-step explanation:

Which equation represents a line which is parallel to the line x+4y=-20x+4y=−20?

Answers

Answer:

y=7x+3, y=7x−6

What is the equation of the circle shown in the graph?
x
y
10
8
6
4
2
x
-6 -4 22
-2
2 4 6 8 10
6
-8
-10

Answers

Answer:

Step-by-step explanation:

The equation of the circle is ( x + 6 )² + ( y - 4 )² = 36 and the radius is r = 6 units and the center of circle is P ( -6 , 4 )

What is a Circle?

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the equation of circle be represented as A

Now , the value of A is

Let the radius of the circle be r = 6 units

The point of center of the circle is at P ( x , y )

The coordinates of the point P is = P ( -6 , 4 )

And , standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

On simplifying , we get

( x - ( -6 ) )² + ( y - 4 ) = 6²

( x + 6 )² + ( y - 4 )² = 36

Therefore , the value of A is ( x + 6 )² + ( y - 4 )² = 36

Hence , the equation of circle is ( x + 6 )² + ( y - 4 )² = 36

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ7

Pls helps I need help

Answers

Look up the question on Brainly! I’m pretty sure it’ll come up. If not, sorry!

Can someone help me plsssss

Answers

i’m pretty sure it’s 48ft^2 !!

it's all on the picture please answer ​

Answers

Answer:

60 units squared

Step-by-step explanation:

use for mula A= bh/2

15*8=120

120/2= 60

A=60

Answer:

60

Step-by-step explanation:

area of triangle = (base x height) : 2

base = 15

Height = 8

= ( 15 x 8 ) : 2

= 120 : 2

= 60

(X+4)(x-3) algebra tiles

Answers

Answer:

x^2+x-12

Step-by-step explanation:

x^2-3x+4x-12

x^2+x-12

Which equation can be used to find the value of x?
109=180
x+42=67
x=180-109
42+67-x=180

Answers

Answer:

C

Step-by-step explanation:

We know every triangle equals 180 so were just going to take 180 - 42 = 138 then were going to do 138 - 67 = 71  we can check our work by doing

42 + 67+ 71 = 180. We also know 67 + 42 = 109.

Lets look at our answers;

A. 109 = 180 + x  When solved it gave me; x = -71. We got a positive 71 so this is incorrect.

B. x + 42 = 67   When solved it gave me;  x = 25, which is incorrect.

C. x = 180 - 109 When solved it gave me; x = 71

D. 42 + 67 - x = 180 When solved it gave me; x =  - 71

Therefore the answer is C.

The speed of a train is 35 miles per hour less than 2 times the speed of a car. If the speed of the train is 60 miles per hour, how fast is the car going? Leave the answer as a fraction.

Answers

Answer:

95/2 mph

Step-by-step explanation:

speed of train = 60 mph

speed of car = x

"The speed of a train is 35 miles per hour less than 2 times the speed of a car."

2x - 35 = 60

2x = 95

x = 95/2

Answer: 95/2 mph

Read the following poem:



This band was all my idea

I'm the one that found all the members

I'm the one that picks all the music

And I'm the superstar lead singer



So when our drummer said his cousin, Mae

Had a really awesome voice

Everyone else wanted to meet her

So I really was given no choice



We had her in for an audition

And I'll admit she sang like a bird

But of course I felt a bit threatened

And inside me jealousy stirred



Their plan was that she'd sing with me

But I said, no, she could do something else

But once again I was outvoted

So I kept my complaints to myself



And I grumbled inside on the bus ride

To our very first show with Mae

And I refused to wish her good luck

As I stomped like a brat to the stage



But when Mae joined me on our first song

Something happened with her and me

Our voices twined like flowering branches

In perfect harmony



Afterwards I was almost ashamed

That I had tried so hard to obstruct her

because adding some great to a really good thing

Can only make that thing better.







How many stanzas are in this poem?



A 7

B 9

C 6

D 8

Answers

Answer:

7, I believe. I have to fill in the extra character space, so I hope you have a nice day :)

Can anyone help me with this question?

Answers

Answer:

x= -1

Step-by-step explanation:

the answer is x= -1

hope it helps

Please help me with this problem!! thank you!

Answers

Answer:

its number 3.

Step-by-step explanation:

A cylindrical water towers has a diameter of 15 meters and a height of 5 meters. About how many gallons of water can the gallon contain?

Answers

Answer:

233445.54 gallons

Step-by-step explanation:

Given data

Diameter= 15m

Radius= 7.5m

Height= 5m

Let us first find the volume

the volume of a cylinder is given as

V= πr^2h

substitute

V= 3.142*7.5^2*5

V= 3.142*56.25*5

V=883.6875 m^3

Hence the volume in gallons is

233445.54 gallons  (from conversion tables)

Choose the <,>,= symbols to answer the question

Answers

Answer:

Step-by-step explanation:

1.<

2.<

3.=

4.=

5.>

6.<

7.<

8.>

I did my best to fit it all lol, can someone please help? <3

Answers

Answer:

8a. 0 8b. -1/3

Step-by-step explanation:

slope formula: [tex]\frac{y_{2} - y_{1}}{x_{2} - x{1}}[/tex]

8a. => (8 + 12)/(17 - 17) = 20/0 = 0

8b. (1 + 2)/(-3 - 6) = 3/-9 = - 1/3

Answer:

8a: 0 8b: -1/3

Step-by-step explanation:

slope is y2-y1/x2-x1

8a: 8+12/0=0

8b: 1+2/-3-6=3/-9=-1/3

\dfrac12(10x + 20y +10z) = 2 1 ​ (10x+20y+10z)=start fraction, 1, divided by, 2, end fraction, left parenthesis, 10, x, plus, 20, y, plus, 10, z, right parenthesis, equals

Answers

Answer:

5x + 10y + 5z

Step-by-step explanation:

Given the expression

[tex]\frac{1}{2}(10x+20y+10z)\\[/tex]

Expand the parenthesis using the distributive law;

[tex]\frac{1}{2}(10x)+ \frac{1}{2}(20y)+\frac{1}{2}(10z)\\= \frac{10x}{2} + \frac{20y}{2} + \frac{10z}{2}\\= 5x + 10y + 5z[/tex]

Hence the required solution is 5x + 10y + 5z

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