Find sin 0, where is the angle shown.
Give an exact value, not a decimal approximation.

Answer:

Price = 20, Amount = 14

Step-by-step explanation:

A = Amount of Mangoes

P = Price for 1 Mango

P = A + 6

280 = P * A

insert A+6 for P

280 = (A+6) * A

280 = 6A + A²

280=1*a^2+6*a  | Vertausche beide Seiten der Gleichung.

1*a^2+6*a=280  | quadratische Ergänzung: ergänze auf beiden Seiten (3)^2

1*a^2+6*a+(3)^2=3^2+280  | Rechne 3 hoch 2 aus.

1*a^2+6*a+(3)^2=9+280  | addiere 9 und 280

1*a^2+6*a+(3)^2=9+280  | Fasse die rechte Seite mit Hilfe der binomischen Formel zusammen.

1*(1*a+(3))^2=289  | Auf beiden Seiten Quadratwurzel ziehen.

1*a+(3)=+-*289^0.5  

1*a_1+(3)=289^0.5  

1*a_1+3=289^0.5  | Ziehe die Wurzel aus 289

1*a_1+3=17  | -3

1*a_1=14  

The total number of mangoes bought by Kumar are 14.

"An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values is called mathematical equation. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc."

We have,

Total amount for mangoes(P) =  280

Price of one mango is equal to 6 more than the total number of mangoes (A) i.e., P = A+6

By using mathematical equation from the question

P×A = 280.....(1)

Substitute P = A+6 in equation (1)

⇒ (A+6) × A = 280

⇒[tex]A^{2}+6A =280[/tex]

Add [tex]3^{2}[/tex] on both sides of above equation

⇒[tex]A^{2}+6A+3^{2} = 280+3^{2}[/tex]

⇒[tex]A^{2}+2.(1)(3A)+3^{2} =289[/tex]          (∵ [tex](a+b)^{2} = a^{2}+2ab+b^{2}[/tex])

⇒[tex](A+3)^{2} =289[/tex]

⇒[tex]A+3 = \sqrt{289}[/tex]

⇒[tex]A=17-3[/tex]

⇒[tex]A=14[/tex]

Hence, The total number of mangoes bought by Kumar are 14.

Learn more about mathematical equation here

https://brainly.com/question/15389595

#SPJ2

Answer:

[tex]\sqrt{89}[/tex] or 9.43

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

Answer:

+ or > depending on what you mean exactly

Step-by-step explanation:

-7x<6-9

-7x<-3

x>3 (remember to flip the sigh)

the sign is the > symbol , or positive, not sure what you mean really

Answer:

24 feet

Step-by-step explanation:

The given parameters of the blueprint are;

The length of each grid square on the blueprint = 10 feet

The total distance in feet around the garden, P = 4 + 2 + 2 + 4 + 6 + 6 = 24

The total distance in feet around the garden = 24 feet

Answer:

12 - p

Step-by-step explanation:

12 - p

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

Explanation:

We can apply the remote interior angle theorem. Some math books or teachers may refer to this as the "exterior angle theorem". They're the same idea just with different names.

According to that theorem, the interior angles x and 53 add up to the exterior angle 158

x+53 = 158

x = 158-53

x = 105

This theorem only works if neither interior angle is adjacent to the exterior angle. Hence the "remote" part.

----------

If you wanted a slightly longer approach, then let y be the missing angle that isn't marked in the diagram. Angle y is adjacent to the 158 degree angle.

We can find y by noting how 158 and y are supplementary

158+y = 180

y = 180-158

y = 22

Then we use the fact that adding three angles of any triangle always gets us 180 degrees

x+y+53 = 180

x+22+53 = 180

x+75 = 180

x = 180-75

x = 105

Effectively, this example helps reinforce why the remote interior angle theorem is true.

Answer:

False

Step-by-step explanation:

The hypotenuse is not either of the two legs but is opposite of the right angle.

Answer:

B) [tex]y=x-5[/tex]

Step-by-step explanation:

Because [tex]g(x)=\frac{x^2-3x-5}{x+2}[/tex] simplifies to [tex]x-5+\frac{5}{x+2}[/tex], we only care about the quotient, which will be our oblique asymptote equation. Therefore, the oblique asymptote for the function will be [tex]y=x-5[/tex]. See the attached graph for a visual.

Answer:

B

Step-by-step explanation:

Did it rn

Answer:

20

Step-by-step explanation:

f(x) = 30

30 = 1.8x -5.4

35.4 = 1.8x

x = 35.4/1.8

x = 19.666

Answer:

15a^5 b^15

Step-by-step explanation:

_____________

Answer:

i think its d

Step-by-step explanation:

Answer:

Hope this helps!

Please mark brainliest!

24x3=72

And 10% of 24 is 2.4

So $74.04

Answer: 80

Step-by-step explanation:

100 ----- x

30 ------ 24

V

10// ----- x

3// ------ 24

V

3 · x = 24 · 10

3x = 240

x = 240/3

x = 80

Answer:

the third side is 4.

Step-by-step explanation:

Using  Pythagorean theorem of a^2 + b^2 = c^2 for right triangles, substitute

the numbers to show ([tex]\sqrt{65})^{2}[/tex] + [tex]b^{2}[/tex] = [tex]9^{2}[/tex] and solve for b. The square root and square cancel each other out, so you get 65 + [tex]b^{2}[/tex] = 81.

Subtract 65 from both sides to get [tex]b^{2}[/tex] = 16.

Then take the square root of both sides to get b = [tex]\sqrt{16}[/tex] which equals 4.

Step-by-step explanation:

If A [4 3 ] is a singular matrix find the

[a 3 ] value of 'a'.

a=4

Answer:

the first and third option

Step-by-step explanation:

In the initial recipe, the ratio of tomato sauce to chile sauce is 1 : 3/2

To make it spicier this ratio has to be higher than the initial ratio

Ratio in the first option : 1/2 : 1 = 1 : 2

option 2 : if both recipes are double, the proportion of ingredients remain the same

oprion 3 : 1 : 3

option 4 : 1 : 1

option 5 : 1 : 5/3

Given:

Radius of a cylinder = 2 cm

Height of the cylinder = 10 cm

To find:

The surface area of the cylinder.

Solution:

The total surface area of the cylinder is:

[tex]A=2\pi rh+2\pi r^2[/tex]

Where, r is the radius and h is the height of the cylinder.

Putting [tex]r=2[/tex] and [tex]h=10[/tex] in the above formula, we get

[tex]A=2\pi (2)(10)+2\pi (2)^2[/tex]

[tex]A=40\pi +2\pi (4)[/tex]

[tex]A=40\pi +8\pi [/tex]

[tex]A=48\pi [/tex]

Therefore, the surface area of the cylinder is [tex]48\pi [/tex] square cm and its approximate value is 150.8 square cm.

Answer:

Answer:

Total amount ÷ number of person's

Step-by-step explanation:

for example:- there are four persons and the total amount they have to pay is ₹2000

Now,

contribution of each person = total amount ÷no.of persons

= ₹(2000 ÷4)

=₹500

Step-by-step explanation:

B) 9.6 cm

See the picture I have shared

Answer:

107 in ²

Step-by-step explanation:

Surface area of the triangular prism = bh + L(s1 + s2 + s3)

Where,

b = 2 in.

h = 8 in.

s1 = 8.2 in.

s2 = 2 in.

s3 = 8 in.

L = 5 in.

Substitute

Surface area = 2 × 8 + 5(8.2 + 2 + 8)

Surface area = 16 + 5(18.2)

Surfaces area = 16 + 91

Surface area = 107 in ²

Answer:

8:21

Step-by-step explanation:

Answer:

120(1/3)^n-1

This is the correct answer for sure.

Answer:

6,079.42

Step-by-step explanation:

FV   =   P (1  +  r / n)^Yn

P is the starting principal, r is the annual interest rate, Y is the number of years invested, and n is the number of compounding periods per year. FV is the future value, meaning the amount the principal grows to after Y years.

Answer:

0

Step-by-step explanation:

-3c-11+14c=-14c-11

                  +14c

-3c-11+28c = -11

                  +11

-3c+28c = 0

25c=0

divide both sides by 25

c=0

Answer:

c=0

Step-by-step explanation:

-3c-11+14c=-14c-11

Combine like  terms

-11c -11 = -14c -11

Add 11 to each side

-11c-11+11 = -14c -11+11

-11c = -14c

Add 14c to each side

-11c+14c = -14c+14c

3c =0

Divide by 3

3c/3 = 0/3

c =0

Answer:

B (HI/GI)

Step-by-step explanation:

Remember Soh Cah Toa.

Toa is the trick for tan, meaning the tan function is opposite divided by adjacent. The side opposite of angle G is HI, and the side adjacent to it is GI.

Answer:

x = 15

Step-by-step explanation:

20^2 + x^2 = 25^2

400 + x^2 = 625

subtract each side 400

it results to 225

square root 225, to equals this -->

X = 15

Answer:

15

Step-by-step explanation:

Answer:

35.18576

Step-by-step explanation:

use eqation E

Answer:

If the angle is in radians...

Area of sector =½r²¢

Where ¢ is theta.

Since Our angle is degree

We use

Area of Sector = ¢/360 x πr²

¢=theta

radius = Diameter/2

radius = 16/2 = 8m

Area = 126/360 x π x 8²

= 112π/5

=70.37