compare: 3 5/7 to 3 6/10 which one is greater

10. tan(30) = l / 6√3

l = tan(30) x 6√3

l = 6

cos(30) = 6√3 / y

y =  6√3/cos(30)

y = 12

11. tan(30) = c/30

c = 30 x tan(30)

c = 10√3

cos(30) = 27/w

w = 27/cos(30)

w = 18√3

12.

sin(60) = 36/y

y = 36/sin(60)

y = 24√3

tan(60) = 36/x

x = 36/tan(60)

x = 12√3

Answer:

  10. (l, y) = (6, 12)

  11. (c, w) = (9√3, 18√3)

  12. (x, y) = (12√3, 24√3)

Step-by-step explanation:

Side ratios, shortest to longest, in a 30°-60°-90° triangle are ...

  1 : √3 : 2

__

10. l : 6√3 : y = 1 : √3 : 2

multiply by 6

  = 6 : 6√3 : 12

  l = 6, y = 12

__

11. c : 27 : w = 1 : √3 : 2

multiply by 27/√3 = 9√3

  = 9√3 : 27 : 18√3

  c = 9√3, w = 18√3

__

12. x : 36 : y = 1 : √3 : 2

multiply by 36/√3 = 12√3

  = 12√3 : 36 : 24√3

  x = 12√3, y = 24√3

__

This is easier when the triangle is drawn to clearly differentiate the lengths of the sides. The long leg is opposite the 60° angle; the short leg is opposite the 30° angle.

Answer:

[tex]P=0.0625[/tex]

Step-by-step explanation:

The probability of getting one tails is a half.

The probability of getting another tails given you had a tails is:

[tex]\frac{1}{2}*\frac{1}{2}=(\frac{1}{2})^2=\frac{1}{4}[/tex]

The probability of getting n tails in general is given by:

[tex](\frac{1}{2})^n = \frac{1}{2^n}[/tex]

So, when we have four tails - our value for n is four.

[tex](\frac{1}{2})^4=\frac{1}{2^4}=\frac{1}{16}=0.0625[/tex]

Answer:

I believe it’s 2,197 possibilities because there are 13 students and 3 tasks, so you multiply 3 13’s together

13 * 13 * 13 = 2,197

Answer:

y = 5(2)ˣ

Step-by-step explanation:

numbers are doubled for y as x is changing by 1

it indicates exponential growth with y intercept 5 and rate 2:  y = 5(2)ˣ

Answer:

2) y= -2/3x +4

Step-by-step explanation:

2x+3y=12 convert to y=mx+b form

move over the 2x to isolate y

3y= -2x+12

divide by 3 in order to completely isolate y

y= -2/3x +4

Answer:

C=37.680

Step-by-step explanation:

The diameter is 2x the radius, so 6x2 is 12. 12x3.14 = 37.680.

[tex]answer \\ 37.68 \: ft \\ solution \\ r = 6 \: ft \\ d = 6 \times 2 = 12 \: ft \\ circumference = \pi \: d \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 12 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 37.68 \: ft \\ hope \: it \: helps[/tex]

Answer:

15.33cm

Step-by-step explanation:

when you try to draw out this figure, satisfying the fact that Ad and Ac are both straight lines. you find the ultimately  it forms a right-angled triangle with sides AC and AD and hypotenuse CD.

Now, you may use Pythagoras theorem to solve:

AC^2 + AD^2 = CD^2

12.3^2 + 9.15^2 = CD^2

CD^2 = 235.0125

CD = square root of 235.0125 = 15.33cm

Hope this helps

Answer:

Eva swam 400 meters in 1/5 hour. Her average swimming speed was 2000 meters per hour.

Step-by-step explanation:

Eva swam 2/3*600 meters in 1/5 hour. 2/3*600=400. She swam 400 meters in  1/5 hour, which means she swims 5*400 meters in a whole hour. Eva swims 2000 meters per hour.

Answer:

D. $5,676.88

Step-by-step explanation:

A=P(1+r/n)^n*t

Where

P=principal=$5000

r=interest rate=6.45%=0.0645

n=periods=2(semiannually)

t=time=2 years

A=P(1+r/n)^n*t

=5,000(1+0.0645/2)^2*2

=5,000(1+0.03225)^4

=5000(1.03225)^4

=5000(1.13553756247925)

=5,676.8781

Approximately

$5,676.88

Answer:

please give more clarification

Answer:

a=15

Step-by-step explanation:

[tex]a^{2} =9*25\\a^{2} =225\\\\\sqrt{a} =\sqrt{222\\a=15[/tex]

Hope it helps

Answer:

2) r=73

Step-by-step explanation:

all 4 sided shapes add up to 360.

so 90+90=180

180+107=287

360-287=73

so r=73

Answer:

12.94 gallons/week

Step-by-step explanation:

44x5=220

220/17=12.94

Answer:

13 gallons

Step-by-step explanation:

44 miles x 5 days = 220 miles

220 miles / 17mpg = 12.9

12.9 rounded up is 13

Final Answer is 13 gallons

Answer:

10,000 nickels

Step-by-step explanation:

Answer:

work is shown and pictured

Answer:

y = [tex]4^{x+1[/tex]

Answer:

0.125 m²

Step-by-step explanation:

The area of a rectangle is the product of its length and breadth. Therefore:

area of the rectangle = length (l) × breadth (b) = 1 m².

l × b = 1

A triangle is cut off from that rectangle along a line connecting the midpoints of two adjacent sides, therefore the base of the triangle = length of rectangle/2 and the height of triangle = breadth of rectangle/2.

Area of triangle = 1/2(base × height) = [tex]\frac{1}{2}*\frac{l}{2}*\frac{b}{2}=\frac{1}{8}lb[/tex]

since lb = 1:

Area of triangle = [tex]\frac{1}{8}*1=0.125m^2[/tex]

Answer:

Federal tax amount = $18,425

Step-by-step explanation:

Given:

Total sales amount = $335,000

Federal tax rate = 5.5%

Find:

Federal tax amount = ?

Computation:

⇒ Federal tax amount = Total sales amount × Federal tax rate

⇒ Federal tax amount = $335,000 × 5.5%

⇒ Federal tax amount = $335,000 × 0.055

⇒ Federal tax amount = $18,425

Therefore, total amount of federal tax owed is $18,425

Answer:jss needed point srry

Step-by-step explanation:

Answer:  d) none of the above

Step-by-step explanation:

Start at Black Triangle: B = (0, -4)   C = (4, -1)   D = (2, -5)

End up at Red Triangle: B = (2, 0)  C = (-2, 3)   D = (0, -1)

Rotation of 180°: (x, y) → (-x, -y)

Reflection across y-axis: (x, y) → ( -x, y)

Reflection across x-axis: (x, y) → (x, -y)

Reflection across x=1: (x, y) → (2 - x, y)

[tex]a) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across y-axis}\\B:\ (0, -4)&(0, 4)&(0,4)\\C: (4, -1)&(-4,1)&(4,1)\\D: (2, -5)&(-2,5)&(2,5)\end{array}[/tex]

[tex]b) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across x = 1}\\B:\ (0, -4)&(0, 4)&(2,4)\\C: (4, -1)&(-4,1)&(6,1)\\D: (2, -5)&(-2,5)&(4,5)\end{array}[/tex]

[tex]c) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across x-axis}\\B:\ (0, -4)&(0, 4)&(0,-4)\\C: (4, -1)&(-4,1)&(-4,-1)\\D: (2, -5)&(-2,5)&(-2,-5)\end{array}[/tex]

None of the given options transform the black triangle onto the red triangle.

Answer:

125.5 cm²

Step-by-step explanation:

At = A(rectangle) + A(trapeze)

= A = L×W + (b + B)×h/2

= 6.1cm×5cm + (6.1cm + 12.9cm)×10cm/2

= 30.5 cm² + 19cm×5cm

= 30.5 cm² + 95 cm²

= 125.5 cm²

al3xis

Answer:

I would love to  help but i dont know pounds so i will try to help in dollars then convert into pounds

lol :) just wait

Step-by-step explanation:

Answer:

+15 degrees

Step-by-step explanation:

-3

-2

-1

0

1

2

3

4

5

6

7

8

9

10

11

12

Answer:

x + 6

Step-by-step explanation:

(f ÷ g)(x)

= [tex]\frac{x^2+9x+18}{x+3}[/tex] factorise the numerator

= [tex]\frac{(x+3)(x+6)}{x+3}[/tex] ← cancel the factor (x + 3) on numerator/ denominator

= x + 6

Answer:

the circle has one point even if it is a concentric circle it will have one central point or it needs more collections of the circle at equidistance

Answer:

The circle would look like the image attached

Step-by-step explanation:

[tex]answer = \\ triangle \: b \: and \: d \: does \: not \: seems \: to \\ be \: congruent \: to \: each \: other. \: \\ explanation \\ congruent \: triangles \: are \: those \: \\ which \: are \: exactly \: same \: copy \\ of \: each \: other.they \: have \: same \: side \\ lengths \: shape \: size \: and \: angles. \\ triangle \: a \: and \: e \: seems \: to \: be \: \\ congruent. \: triangle \: c \: and \: f \: seems \: \\ to \: be \: congruent.triangle \: b \: and \: d \: \\ doesnot \: match \: with \: any \: other \: triangles. \\ hope \: it \: helps[/tex]

Answer:

triangle b & d

(Apex)