A total of 573 tickets were sold for the school play. They were either adult tickets or student tickets. There were 73 more student tickets sold than adult tickets. How many adult tickets were sold?

Step-by-step explanation:

(F-g) (X)

= f(x) - g(x)

(2x² + 2 )-(x²-1) =

3x²+3

[tex]4( \frac{1}{5} x + 7) = 2x - 2[/tex]

[tex]x = 25[/tex]

Answer:

2

Step-by-step explanation:

Answer:

option A

Step-by-step explanation:

y = k . f( x )

• if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.

• if 0 < k < 1 (a fraction), the graph is f (x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.

• if k < 0, the vertical stretch or shrink is followed by a reflection across the x-axis.

Given g(x ) = - |x |

                = -1 × f(x)

k < 0 , therefore the graph g (x) is a vertical shrink ( or compression ) of graph f

Answer:

41.4º

138.6º

Step-by-step explanation:

x + (x - 97.2) = 180

2x - 97.2 = 180

2x = 277.2

x = 138.6º

x - 97.2 = 41.4º

This is a function because each element in the domain has one and only distinct image in the co-domain.

Answer:

Base = 10.5 cm

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENRAL FORMULAE TO BE USED IN THIS QUESTION :-

For a triangle with height 'h' & base 'b' , its area = [tex]\frac{1}{2} \times b \times h[/tex]

SOLUTION :-

[tex]Area = \frac{1}{2} \times Base \times Height[/tex]

[tex]=> 94.5 = \frac{18b}{2}[/tex]

[tex]=> \frac{18b}{2} \times 2 = 94.5 \times 2[/tex]

[tex]=> 18b = 189[/tex]

[tex]=> b = \frac{189}{18} = 10.5[/tex]

Given:

In a right angle triangle,

Hypotenuse = 25 cm

Base = x

Angle between base and hypotenuse = 18 degrees.

To find:

The value of x.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

In the given right triangle,

[tex]\cos (18^\circ) =\dfrac{x}{25}[/tex]

[tex]\cos (18^\circ) \times 25=x[/tex]

[tex]0.9510565 \times 25=x[/tex]

[tex]23.7764125=x[/tex]

Round the answer to the nearest hundredth (two decimal).

[tex]x=23.78[/tex]

Therefore, the value of x is about 23.78 cm.

Answer:

I'm in 9th grade but i think i can help.

Step-by-step explanation:

Given:

The data points are:

(1, 0), (2, 3), (3,1), (4,4), (5,5)

To find:

The equation of best fit line in the form of [tex]y=mx+b[/tex] and then find the value of b.

Solution:

The general form of best fit line is:

[tex]y=mx+b[/tex]              ...(i)

Where, m is the slope of best fit line and b is the y-intercept of the line.

Using the graphing calculator, we get the equation for the best fit line and the equation is

[tex]y=1.1x-0.7[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]b=-0.7[/tex]

Therefore, the value of b is equal to -0.7.

Answer:

The domain is all x-values or inputs of a function. hope this helps!

Step-by-step explanation:

Answer:

CPCTC

Step-by-step explanation:

BESTIE MY CAPS LOCK KEY IS LIKE STUCK SO YEAH

ANYWAY, THIS IS GOING TO SOUND REALLY AGGRESSIVE

SO CONGRUENT TRIANGLES HAVE 3 EQUAL SIDES AND 3 EQUAL ANGLES

THEY ARE EXACTLY THE SAME

SINCE WE KNOW ALL OF THIS AWESOME INFORMATION, NOW WE CAN THAT THE ANGLE BISECTORS WILL BE CONGRUENT BY CPCTC -

CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT

WE CAN USE AN EXAMPLE TO UNDERSTAND BETTER

SAY YOU HAVE 2 CONGRUENT TRIANGLES

THE ANGLES ARE 50, 60, AND 70

SAY THAT THE ANGLE BISECTORS ARE ON 60

THEY WILL BE CONGRUENT BECAUSE THEY ARE THE CORRESPONDING ANGLES OF 2 CONGRUENT TRIANGLES

BUT WHEN YOU ARE ASKED FOR A REASON, IT IS BECAUSE OF CPCTC

CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT

Answer:

19.20

Step-by-step explanation: used

a calc

Answer:

Sin A = 5/13,

Cos A = 12/13,

tan A = 5/12

CSC A = 13/5

Sec A = 13/12

Cot A = 12/5

Answer:

€270

Step-by-step explanation:

If a fruit vendor has bought 165kg of apples at € 2 per kilo, the total amount spent is expressed as;

Cost price = 165 * 2 = €330

If 15kg spoilt, the amount of fruit remaining will be 165 - 15 = 150kg

If he rests he sells for € 4 per kilo, then;

Selling price = 150 * 4 = €600

Amount earned = €600 - €330

Amount earned = €270

Answer:

1st onne I believe I couldd be wrong but thats what I got

Step-by-step explanation:

Answer:

ST is 12 meters

Step-by-step explanation:

The given triangle ΔRST = An equilateral triangle

The altitude of ΔRST = SV

The length of segment RV = 6 meters

Given that ΔRST is an equilateral triangle, the base angles of the triangles = 60°, therefore, in the formed triangles, ΔRSV, and ΔTSV, ∠RSV = ∠TSV = 90° - 60° = 30°

∴ ΔRSV, and ΔTSV are congruent, based on ASA rule of congruency

∴ Side VT in ΔTSV is congruent to side RV in triangle ΔRSV  

The midpoint of side ST

VT ≅ RV

Therefore, VT = RV = 6 meters

RT = RV + VT = 6 + 6 = 12 By segment addition property

In equilateral triangle, ΔRST, all the sides are equal, therefore;

RT = RS = ST = 12 m

ST = 12 meters.

Answer:

Step-by-step explanation:

The two triangle are congruent for the rule SAS

QP congruent to TU

angle P and angle T are both right

side PR is in common

Answer: [tex]7.81\ km[/tex]

Step-by-step explanation:

Given

Runner A runs towards North at speed of 10 km/h

Runner B runs towards East at speed of 12 km/h

After half hour, they covered a distance of

[tex]\Rightarrow d_a=10\times 0.5\\\Rightarrow d_a=5\ km[/tex]

[tex]\Rightarrow d_b=12\times 0.5\\\Rightarrow d_b=6\ km[/tex]

They are running in perpendicular direction to each other

So, the distance between them is  given by

[tex]\Rightarrow d=\sqrt{d_a^2+d_b^2}\\\Rightarrow d=\sqrt{5^2+6^2}\\\Rightarrow d=\sqrt{61}\\\Rightarrow d=7.81\ km[/tex]

Answer:

M1=44 M2=136 M3=44 M4=136

Step-by-step explanation:

M3= 44 so M1=44 due to opposite angles being equal

then if two of the angles add to 88

360-88= 272

divide 272 by 2 as M2 and M4 are equal

272/2=136

Answer:

m∠1 = 44°

m∠2 = 136°

m∠4 = 136°

Step-by-step explanation:

m∠1 explanation:

I got it from m∠3 since they're both congruent

m∠2 explanation:

Since we already have the measure of 3 and 1, we can easily add both of the measures (44 + 44 = 88°) then subtract it from 360° (total) = 272°

Then since both measures (2 and 4) are congruent (measuring the exact same length and angle) we can divide 272° ÷ 2 = 136°

m∠4 explanation:

I got it from m∠2 since they're both congruent

Answer:

Step-by-step explanation:

9)  (25-x^2 )(a+2) = (5-x)(5+x)(a+2)

11) 9(v-3)+u^2(3-v)

   9(v-3)+u^2( -v+3)

   9(v-3)-u^2( v-3)

   (9-u^2)(v-3)

 (3-u)(3+u)(v-3)

Answer: Choice B

Explanation: The rule you use is [tex]\sqrt{m*n} = \sqrt{m}*\sqrt{n}[/tex]

Answer:

Step-by-step explanation:

A: is not the answer. The answer is √144 which is 12

B: is correct. You can do it this way, by breaking the 9 and 16 apart.

C: I don't know exactly what the logic of 36 is, but it is not the right answer.

D: I can't explain why the choice would be division. It is multiplication of some sort. D is incorrect.

Answer:

A

Step-by-step explanation:

The zero is the value of x where the line crosses the x- axis

The line crosses the x- axis at x = - 5 ← zero

Answer:

-5

Step-by-step explanation:

The zero of a function is the x-value of the location where the function intersects the x-axis.

Here I read at (-5,0), the function intersects the x-axis, so the zero of the functiion is x = -5

Answer:

Step-by-step explanation:

Angles on a straight line add up to 180 so 180-135 equals 45. Vertically opposite angles are equal so the second angle inside the triangle equals 100. Henceforth, we can solve this equation:

x +45+100 = 180 (angles in triangle add up to 180)

x+145=180

x=35

Vertically opposite angles are equal so x will become 35.

Hope this helps!

Answer:

[tex]6^4[/tex]

Step-by-step explanation:

All you have to do for this is follow PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Substraction) Which is the order of operations.

First you do parenthesis, [tex](2^2)^2[/tex], when you have a positive exponent outside a parenthesis like this, you add them together, and in this case, you get, [tex](2^2)^2=2^4=16[/tex]

After that, you do the rest of the exponents as well as multiplication, [tex]3^4=81[/tex].

Now we plug in the 81 from our last step along with the 16 from the first step and multiply them together. [tex]3^4*(2^2)^2=81*16=1296[/tex]

Then you just simply need to find which of the answers come out to be the result we got which is 1296. Out of these 4 possible answers, [tex]6^4[/tex] ends up being equal to 1296 which means that is the correct answer.

Answer:

6^4 is equivalent to 3^4 x (2^2)^2

Step-by-step explanation:

3^4 x (2^2)^2                  6^8 = 1679616

  3^4 x (4)^2                    6^4 = 1296

     81 x 16                       5^4 = 625

         1296                       5^8 = 390625

The coordinates of the point on the unit circle at the given angle. 135° is (-√2 / 2, √2 / 2).

A circle on the Cartesian Plane with a radius of one unit and a center position is referred to as a unit circle (0, 0). When working with angles and trigonometric functions, the unit circle is a useful tool that makes reference much simpler. The Pythagorean Theorem can be used with the unit circle.

Given:

The unit circle at the given angle 135°,

Calculate the value of sin45 as shown below,

sin (180 - 135) = 1 / √2

sin 45 = 1 / √2

cos(180 - 135) =  1 / √2

cos45 = 1 / √2

Write the coordinates as shown below,

Coordinates = (1 / √2 × √2 / √2, 1 / √2 × √2 / √2 )  (Second quadrant is (-x, y))

Coordinates = (-√2 / 2, √2 / 2)

Thus, the coordinates are  (-√2 / 2, √2 / 2).

To know more about unit circle:

https://brainly.com/question/11743473

#SPJ2

Answer: 50.24

Step-by-step explanation:

=3.14x4 squared

=3.14x16

=50.24

Answer:

a) 20 km away fro the starting point.

b) The bearing from P to R is 80°.

c) Q is 60 km North P.

d) Q is - 60 km west of P

Step-by-step explanation:

Stating Facts in the Question:

P to Q is 80 km and bearing 330°

It turned around, Q to R is 60 km and bearing 250°.

a) Picture a number line (Look at the first image)

You go 80 to the right. You turn around and go 60 to the left.

80 - 60 = 20

20 km away fro the starting point

b) Picture a number line (Look at the second image)

P to Q is bearing 330°

Q to R is 60 km is bearing 250°

P to Q is red

Q to R is blue

330° - 250° = 80°

The bearing from P to R is 80°

c) P to Q is 60 km

The plane went forward or North so the answer is 60 km.

Q is 60 km North P.

d) Q to P is 60 km

Q is not to the west of P

Q is - 60 km west of P