Find the product of 5 and 539.

Answer:

1/2

Step-by-step explanation:

5 / 10 = 1/2

Answer:

10.7°

Step-by-step explanation:

SOH CAH TOA

Tan(BCA) = x/y

= 4/21

BCA= Tan`¹(4/21)

= 10.7856

to 3SF = 10.7°

Answer:

y=K*x equation

k=constant of variation

y= 4 when x = 10

Step-by-step explanation:

8=k*20

divide both sides by 20 to solve for k

2/5=k

y=2/5 *10

y= 4 when x = 10

Answer:

x= 22 (number of parent teacher conferences) y=5 (number of school related assemblies)

Step-by-step explanation:

This word problem creates the following system of equations for x = number of parent-teacher conferences and y = number of school related assemblies.

x+y = 27 means that the number of parent teacher conferences plus the number of school related assemblies equals a total of 27 paid events.

35.50x + 42y = 991 means that $35.50 multiplied by a certain number of parent teacher conferences, plus $42 multiplied by a certain number of school related assemblies equals his total earnings of $991.

This sets up the following system

x+y=27

35.50x+42y=991

To solve this, we first need to take the first equation and solve for y.

y=27-x

plug in to the second equation and solve for x.

35.50x+42(27-x)=991

35.50x-42x+1134=991

Collect like terms

-6.5x=-143

divide both sides by -6.5 to solve for x.

x=22

Back substitute into other original equation to solve for y.

22+y=27

y=5

The interpreter attended 22 parent-teacher conference and 5 school related assembly

To solve this problem, we would write out two set of linear equations.

The data given on this problem are

Let x represent the number of parent-teacher conference

let y represent the number of school related conference

From equation (i)

[tex]x+y = 27\\x = 27-y...equation(iii)\\[/tex]

Put equation(iii) into equation (ii)

[tex]35.50x+42y=991\\35.50(27-y)+42y=991\\958.50-35.50y+42y=991\\6.50y=991-958.50\\y=5[/tex]

Put y = 5 into equation 1

[tex]x+y=27\\y = 5\\x+5=27\\x=27-5\\x=22[/tex]

From the above calculations, he attended 22 parent-teacher conference and 5 school related assembly.

Learn more on linear equations here;

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Answer:

x = 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

tan30 = x/12

x = 12tan30

x = 12(sin30/cos30)

x = 12(½ / ½√3)

x = 12/√3

x = (12/3)√3

x = 4√3

Answer:

Step-by-step explanation:

Answer:

Let +d+ = the one-way distance to the mountains in miles

Let +s+ = his speed going to the mountains in mi/hr

+s+%2B+27+ = his speed on the trip home in mi/hr

equation for going to the mountains:

(1) +d+=+s%2A7+

Step-by-step explanation:

I hope this helps mark as brainliest if correct

so tan = me sun bathing for 2.5 second

Answer:

-13°F is the change in temperature.

Step-by-step explanation:

The change in temperature is,

→ -1 + x = -14

→ x = -14 + 1

→ [ x = -13 ]

Hence, -13°F is the change.

Answer:

round to cent 20.59

Step-by-step explanation:

Answer:

[tex]y= \frac{1}{3}x -9[/tex]

Step-by-step explanation:

First you must substract -5 to both sides

-5-4= -9

[tex]y= \frac{1}{3}x -9[/tex]

Step-by-step explanation:

x = pounds birdseed

y = pounds sunflower seeds

x + y = 30

0.57x + 0.87y = 30×0.81

with this last trick (to calculate the full cost of the whole 30 pounds based on the targeted individual price per pound) we bring both constraints into the play.

from the first equation we get

x = 30 - y

and we use that in the second equation :

0.57×(30-y) + 0.87y = 30×0.81 = $24.30

17.1 - 0.57y + 0.87y = 24.3

0.3y = 7.2

y = 24

x = 30 - y = 30 - 24 = 6

she uses 6 pounds of birdseed and 24 pounds of sunflower seeds.

Answer:

√6/2+1

Step-by-step explanation:

multiplying by √6/√6, we get √6(3+√6)/6=(3√6+6)/6=√6/2+1

Answer: changes over time

Step-by-step explanation: it is always decreasing

Answer:

2:1 OR as a fraction, 2/1

Step-by-step explanation:

We don't know the actual length or width of this pool, like we don't know a number, as in exactly how many feet or meters long or wide this pool is. For this question, we don't need to know. "Twice" means 2 times. So if we consider the width (which we don't know) and call it w, then the length, (which we also don't know) which is two times as long, would be 2w

Width = w

Length = 2w

Ratio of Length to Width is

2w:w or as a fraction 2w/w

This can be simplified to

2:1 or as a fraction 2/1

cheater bro wyd ur doing a diagnostic try ur best lol

The exact area of triangle ABC is 93.51 cm².

The given parameters;

The base of the triangle is calculated by using trigonometry ratio as follows;

[tex]tan (30) = \frac{b}{18} \\\\[/tex]

where;

[tex]b = 18 \times tan(30)\\\\b = 10.39 \ cm[/tex]

The area of the triangle ABC  with the calculated base and given height is calculated as follows;

[tex]A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 10.39 \times 18\\\\A = 93.51 \ cm^2[/tex]

Thus, the exact area of triangle ABC is 93.51 cm².

Learn more about area of a triangle here: https://brainly.com/question/23945265

Answer:

62% = 31 / 50

Step-by-step explanation:

62/100

if you need to simplify then it would be 31/50

Answer:

P = 17.50x + 200

Step-by-step explanation:

x is the number of hours worked

P is how much money Geoff earns

Answer:

none of these is the answer

hope it helps you

Step-by-step explanation:

Hope it will help you...

Answer:

1/3

Step-by-step explanation:

2 blue 1 green 4 red

The greatest value ABAB can have is 7272.

The given parameters:

The counting number can be expanded as follows;

ABAB = 100 x AB  + AB

          = AB00 + AB

          = AB(100 + 1)

          = AB(101)

101 is a prime factor of AB and has only two factors.

The prime factor of 101 = 1 x 2

Since 101 is prime, the counting number AB must 2-digits multiples of 36.

The greatest value ABAB can have is calculated as follows;

ABAB = (36 x 2)(36 x 2)

ABAB = 7272

Thus, the greatest value ABAB can have is 7272.

Learn more about prime factors here:  https://brainly.com/question/24612438

Answer:

see explanation

Step-by-step explanation:

(a)

Substitute x = - 1 into f(x)

f(- 1) = 6 - 2(- 1) = 6 + 2 = 8

(b)

Substitute x = [tex]\frac{1}{3}[/tex] into g(x)

g([tex]\frac{1}{3}[/tex] ) = [tex]\frac{9}{\frac{1}{3} }[/tex] = 9 × 3 = 27

(c)

Substitute x = f(x) into h(x)

h(6 - 2x)

= 6 + (6 - 2x)² ← expand using FOIL

= 6 + 36 - 24x + 4x² ← collect like terms

= 4x² - 24x + 42

(d)

Substitute x = f(x) into g(x)

g(6 - 2x)

= [tex]\frac{9}{6-2x}[/tex]

(e)

Evaluate g(12) then substitute value obtained into f(x)

g(12) = [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{4}[/tex] , then

f([tex]\frac{3}{4}[/tex] ) = 6 - (2 × [tex]\frac{3}{4}[/tex] ) = 6 - [tex]\frac{3}{2}[/tex] = [tex]\frac{9}{2}[/tex]

(f)

Evaluate f(- 9) then substitute the value obtained into h(x)

f(- 9) = 6 - 2(- 9) = 6 + 18 = 24 , then

h(24) = 6 + 24² = 6 + 576 = 582

Answer:

x=19/12

Step-by-step explanation:

(4x-3)/2 = 5/3

4x-3 = 10/3

3 = 9/3

4x = 10/3 + 9/3 = 19/3

x = 19/12

Hey there!

4x - 3/2 = 5/3

ADD 3/2 to BOTH SIDES

4x - 3/2 + 3/2 = 5/3 + 3/2

CANCEL out: -3/2 + 3/2 because it gives you 1

KEEP: 5/3 + 3/2 because it helps solve for the x-value.

NEW EQUATION: 4x = 5/3 + 3/2

SIMPLIFY IT!

4x = 19/6

DIVIDE 4 to BOTH SIDES

4x ÷ 4 = 19/6 ÷ 4

CANCEL out: 4 ÷ 4 because it gives you 1

KEEP: 19/6 ÷ 4 because it helps solve for the x-value

NEW EQUATION: x = 19/6 ÷ 4

SIMPLIFY IT!

x = 19/24

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Recall the half-angle identity for sine,

sin²(x/2) = (1 - cos(x))/2

Then the given equation is identical to

sin²(θ) = 1 - cos(θ)

Also recall the Pythagorean identity,

sin²(θ) + cos²(θ) = 1

Then we rewrite the equation as

1 - cos²(θ) = 1 - cos(θ)

Factoring the left side, we have

(1 - cos(θ)) (1 + cos(θ)) = 1 - cos(θ)

and so

(1 - cos(θ)) (1 + cos(θ)) - (1 - cos(θ)) = 0

and we factor this further as

(1 - cos(θ)) (1 + cos(θ) - 1) = 0

which gives

cos(θ) (1 - cos(θ)) = 0

Then either

cos(θ) = 0   or   1 - cos(θ) = 0

cos(θ) = 0   or   cos(θ) = 1

[θ = arccos(0) + 2nπ   or   θ = -arccos(0) + 2nπ]

…   or   [θ = arccos(1) + 2nπ   or   θ = -arccos(1) + 2nπ]

(where n is any integer)

[θ = π/2 + 2nπ   or   θ = -π/2 + 2nπ]   or   [θ = 0 + 2nπ]

In the interval 0 ≤ θ < 2π, we get three solutions:

• first solution set with n = 0   ⇒   θ = π/2

• second solution set with n = 1   ⇒   θ = 3π/2

• third solution set with n = 0   ⇒   θ = 0

So, the first choice is correct.

Answer:

c. copy an angle.

there's no angle in this as far as I can see.

Answer:

Step-by-step explanation:

Freddie rate of mowing=3/2=1.5 lawns /hr.

Tom's rate of mowimg=2 lawns/hr

so Tom can mow Smith's lawn faster.

[tex]4x-15 = 17-4x\\\\\implies 4x +4x = 17 +15\\\\\implies 8x = 32\\\\\implies x = \dfrac{32} 8\\\\\implies x = 4[/tex]