The art department at a school sold 323 tickets
to an art show, for a total of $790. Students paid
$2 for tickets, and non-students paid $3.50. The
principal asked how many non-students
attended the art show.

Answer: The ratio represents the cosine of ∠H = [tex]\frac{21}{29}[/tex]

Step-by-step explanation:

Given, In right triangle ΔHIJ, the measure of ∠J=90°, HJ = 21, JI = 20, and IH = 29.

To find: The  ratio represents the cosine of ∠H.

According to trigonometry, the cosine of x = [tex]\frac{\text{side adjacent to x}}{\text{Hypotenuse}}[/tex]

So cosine of [tex]\angle H=\frac{HI}{HJ}[/tex]

Cosine of [tex]\angle H=\frac{21}{29}[/tex]

hence, the ratio represents the cosine of ∠H = [tex]\frac{21}{29}[/tex]

Answer:

See below.

Step-by-step explanation:

30 + 15c = 10 + 20c

15c - 20c = 10 - 30

-5c = -20

c = 4

When they both catch 4 criminals, they earn the same amount of money.

Answer:

r=30

Step-by-step explanation:

r/30=-2+3

r/30=1

r=1×30

r=30

Answer:

y=2x+6

Hope I helped, have a nice day :)

Answer:

y=2x +6

Step-by-step explanation:

(18-12)

(6-3)

6/3 = 2

m=2

Answer:

P = 64 meters

Step-by-step explanation:

P = 2(l+w) for a rectangle

Substitute in the length and the width

P = 2( 21+11)

P = 2( 32)

P = 64 meters

Answer:

P = 2(l+w)

= 2 ( 21+11)

= 2(32)

= 64m

Given:

The figure of a rhombus QRST.

To find:

A. The value of x.

B. The measure of angle RQP.

Solution:

A. We need to find the value of x.

We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.

[tex]m\angle RPS=90^\circ[/tex]                       [Right angle]

[tex](5x+15)^\circ=90^\circ[/tex]

[tex](5x+15)=90[/tex]

[tex]5x=90-15[/tex]

[tex]5x=75[/tex]

Divide both sides by 5.

[tex]x=\dfrac{75}{5}[/tex]

[tex]x=15[/tex]

Therefore, the value of x is 15.

B. We need to find the measure of angle RQP.

From the given figure, it is clear that

[tex]m\angle RQP=(2x+3)^\circ[/tex]

Putting [tex]x=15[/tex], we get

[tex]m\angle RQP=(2(15)+3)^\circ[/tex]

[tex]m\angle RQP=(30+3)^\circ[/tex]

[tex]m\angle RQP=33^\circ[/tex]

Therefore, the measure of angle RQP is 33 degrees.

Answer:

Step-by-step explanation:

take theta as reference angle

using sin rule

sin theta=opposite/hypotenuse

sin theta=3/5

sin theta=0.60

theta=sin 37 degree

therefore the value of theta is 37 degree.

Answer:

12 pi mm

Step-by-step explanation:

formula : circumfrence =  2 pi r

so pi * 2*6 mm = 12 pi mm

Answer:

x=3+√10 or x=3−√10

Let's solve your equation step-by-step.

x2=6x+1

Step 1: Subtract 6x+1 from both sides.

x2−(6x+1)=6x+1−(6x+1)

x2−6x−1=0

For this equation: a=1, b=-6, c=-1

1x2+−6x+−1=0

Step 2: Use quadratic formula with a=1, b=-6, c=-1.

x= −b±√b2−4ac

2a

x=

−(−6)±√(−6)2−4(1)(−1)

2(1)

x=

6±√40

2

x=3+√10 or x=3−√10

x=3+√10 or x=3−√10

Let's solve your equation step-by-step.

x2=6x+1

Step 1: Subtract 6x+1 from both sides.

x2−(6x+1)=6x+1−(6x+1)

x2−6x−1=0

For this equation: a=1, b=-6, c=-1

1x2+−6x+−1=0

Step 2: Use quadratic formula with a=1, b=-6, c=-1.

x= −b±√b2−4ac

2a

x=

−(−6)±√(−6)2−4(1)(−1)

2(1)

x=

6±√40

2

x=3+√10 or x=3−√10Answer:

Step-by-step explanation:

Answer:

2.77

Step-by-step explanation:

39.50x.07=2.77

GIVEN: The decimal numbers are given.

TO FIND: We need to find the fractions.

SOLUTION:

a) The decimal form is 0.8333

[tex]\frac{8333}{10000}\\[/tex]

b)The decimal form is 0.373737

[tex]\frac{373737}{1000000}[/tex]

c)The decimal form is 0.321

[tex]\frac{321}{1000}[/tex]

Answer:

y=2x+3

Step-by-step explanation:

Answer:

[tex]\$ 80[/tex]

Step-by-step explanation:

Since we know the price per square meter, we can find area of the figure and multiply it by the price per square meter.

The area of the composite figure consists of a trapezoid and a rectangle.

Area of trapezoid: [tex]\frac{(8+4)}{2}\cdot 2=6\cdot 2 = 12\:\mathrm{m^2}[/tex]

Area of rectangle: [tex]4\cdot 2=8\:\mathrm{m^2}[/tex]

Therefore, the area of the composite figure is equal to [tex]12+8=\boxed{20\:\mathrm{m^2}}[/tex]. Since the problem states that it will cost Anthony $4 per square meter, the total cost to tile the entire figure will be [tex]20\cdot 4=\boxed{\$80}[/tex]

Answer:

We need to divide.

5 1/3 divided by 1/6

(made 5 1/3 an improper fraction)

16/3 divided by 1/6

Now we make the divisor a reciprocal(meaning turning the fraction upside down)

16/3 divided by 6/1

Now we turn the division sign into a multiplication sign.

16/3 x 6/1 = 96/3 = 32 cupcakes.

Answer:

hi there user, looks like you need help!

32 cups should be the correct answer!

Step-by-step explanation:

5 1/3 ÷ 1/6 = 16/3 x 6/1 = 32

Answer:

7.76

Step-by-step explanation:

tan 29° = XY/14

XY = tan 29° (14)

= 7.76

Answer:

XY=7.76

Step-by-step explanation:

Tan25° says opp÷adj

so it's Tan29°=XY÷14

then multiply both sides by 14 to make CY the subject of the formula...

14×Tan29°=XY

therefore=XY=7.76

Answer:

2x–5y = 12

2(–9)–5y = 12

–18–5y=12

–5y=12+18

–5y=30

y= –30/5

y= – 6

(x,y) —> (–9,–6)

Answer:

x = 12

Step-by-step explanation:

(2x + 4) and (12x + 8) are same- side interior angles and sum to 180° , then

2x + 4 + 12x + 8 = 180

14x + 12 = 180 ( subtract 12 from both sides )

14x = 168 ( divide both sides by 14 )

x = 12

Answer:

Calculus-based analytic geometry makes the cylinder, pyramid, and cone from "solids of revolution". From there, they can measure the length or radius of the base, and then the height. This is true even if the solid of revolution is along the X axis intead of the Y axis. Then someone "figured out" the formula, just like they did with a cube, and proved it.

Answer:D

Step-by-step explanation:

It’s D

Answer:

21 feets

Step-by-step explanation:

Since the lure is 21 feets beneath the water surface,

The the elevation of the lure is - 21 feets

If the surface of water = x

Then current distance of lure equals :

x - 21

To obtain the nunber of feets to reach the water surface ;

x - 21 = 0

x = 21 feets

Answer:

Normal selling price is Rs 4500

Explanation:

1) Selling price = original price × (100-d) / 100

d = reduced price percentage

2) Rearrange the formula

original price = (selling price × 100) / (100 - d)

S.p = 3825

d= 15%

let original price = x

Therefore

x = (s.p×100) / (100-d)

x = (3825×100) ÷ (100-15)

x = 382500/85

x = 4500

consider the original price x

offer15% = 15x/100

Saling price = x - 15x/100

3825 = 85x/100

x = (3825×100)÷ 85 = 4500 rs

Answer the normal selling price of microwave which was sold for Rs 3825 in the sale is 4500 rs

Answer:

the height of the cylinder is 28cm

Answer:

6√6 or 14.7

Step-by-step explanation:

Answer:

use Pisagorth theormi

23²=18²+x²

x²=23²-18²

23²=529

18²=324

x²=205

so the x =√205

its nearly equal 14.3.....

Answer:

the correct answer is

width is 12cm

length is 9cm

Answer:

12cm width

9cm length

Step-by-step explanation:

24×28= 432

432÷4=108

9×12= 108

Answer:

$770

Step-by-step explanation:

26% off means the Mohammed paid 74% of the original price.

0.74x=569.80

x=569.8/0.74

x=770

proof:

770*0.26=200.2

770-200.2=569.8

Answer:

b and c

Step-by-step explanation:

0.775 is bigger than .7 or .70

17/22 is 0.772 or 77.2 which is smaller than 0.775 or 77.5

Hope this helped <3

Answer:

Look Im pretty sure key word pretty sure that it is F

Step-by-step explanation: