Coach Wallace wants to raise $1,500 for swim club. His goal is to raise $25 a day (d).
Which equation models this situation?

The exact value of tan(105°) is -2 - √3.

Tangent function of an angle in a right angled triangle is defined as the ratio of the opposite side to the adjacent side.

Given that, we have to find the exact value of tan(105°).

We know that,

105° = 60° + 45°

tan(105°) = tan (60° + 45°)

We know,

tan (A + B) = (tan A + tan B) / (1 - tan A tan B)

So,

tan (60° + 45°) = (tan 60 + tan 45) / (1 - tan (60) tan (45))

tan 60 = √3 and tan 45 = 1

tan (60° + 45°) = (√3 + 1) / (1 - √3)

Multiplying both numerator and denominator by (1 - √3),

                        = (√3 + 1)² / (1 - 3)

                        = -(3 + 2√3 + 1) / 2

                        = -(4 + 2√3) / 2

                        = -(2 + √3)

                        = -2 - √3

Hence the value of tan(105°) is -2 - √3.

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Answer:

in 6 hours it will be 3384

Answer:

654

Step-by-step explanation:

Hope this is right:)

Answer:

Each apple would cost 1.20 and each orange would cost 1

Step-by-step explanation:

Answer:

See Attached!

Step-by-step explanation:

Answer:

x = 10,000

Step-by-step explanation:

commision earned = $4500. - $4200

commision = 300

therefore:

commision = 3% of the amount of the sales

300 = 3% of x( the price isn't known)

300 = 3/100 * x

300 = 3x /100

multiplying both sides by 100

300 x 100 = 3x/100 x 100

30000 = 3x

Divide through by 3

x = 10,000.

the amount of the sales = 10,000

______________

To check

commision = 3% of 10,000

commision = 300

Answer:

-4

Step-by-step explanation:

Answer:

A: -4

Step-by-step explanation:

Expand first, "-5 x 3n = -15n" , "-5 x 4 = -20"

Then you have "-15n - 20 = 40"

Transfer the -20 to the RHS,

Then you have "-15n = 60"

Divide both sides by -15

n = -4

Answer:

84

Step-by-step explanation:

25 percent of 84 is 21.

21x100/25 =84

hope this helps

Answer: 16[tex]7/8[/tex]

(16 7/8)

Step-by-step explanation: -4.5 x -3.75 = 16.875. The decimal ".875" as a fraction becomes 7/8, so your answer is 16.875.

Answer: 16 7/8

Step-by-step explanation:

Answer:

k = 15

Step-by-step explanation:

For a proportional relationship to exist then for both points

k = [tex]\frac{y}{x}[/tex] ← k is the constant of proportion, that is

[tex]\frac{5}{3}[/tex] = [tex]\frac{k}{9}[/tex] ( cross- multiply )

3k = 45 ( divide both sides by 3 )

k = 15

Answer:

Step-by-step explanation:

How many four-digit personal identification numbers (PIN) are possible if the PIN cannot begin with a 0 and the PIN must be an odd number?

ANSWER B: 4,500

The number of 4 digit personal identification numbers (PIN) is 4500

A PIN is a security code that is used for verifying identities

There are 10 numerical digits i.e. 0 - 9

Since the 4 digit personal identification numbers (PIN) cannot begin with 0, then the first character can take any of 9 digits

The other three characters can take any of the 10 digits.

So, the number of PIN is:

PIN = 9 * 10 * 10 * 10/2

Expand

PIN = 4500

Hence, the number of 4 digit personal identification numbers (PIN) is 4500

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Answer:

slope=10, y-int=-20. x-int=2

Step-by-step explanation:

The equation y=10x-20 is in slope-intercept form, or y=mx+b with m being the slope and b being the y-int. In this scenarion, the m(the slope) is 10 and the b(the y-int) is -20. For the x-int, you have to find out what x is when y=0 and vice versa for the y-int. In this case, 0=10x-20 so x=2. Therefor the x-int is 2.

Answer:

Part A) x = -3

Part B) x = 1, x = -7

Part C) x < -7

Part D) 2

Step-by-step explanation:

2(x - 3) = 3x - 3

open the parenthesis

2 * x - 2 * 3 = 3x - 3

2x - 6 = 3x - 3

subtract 2x from both sides

2x - 2x - 6 = 3x - 2x - 3

-6 = x - 3

add 3 to both sides

-6 + 3 = x

-3 = x

|2x + 6| = 8

split this into two equations:

2x + 6 = 8

&

2x + 6 = -8

2x + 6 = 8

2x = 8-6

2x = 2

x = 1

2x + 6 = -8

2x = -8 - 6

2x = -14

x = -7

-5(x + 1) > 30

open the parenthesis

-5x - 5 > 30

add 5 to both sides

-5x > 35

divide both sides by -5

x > -7

since you divided by a negative, flip the sign.

x < -7

f(x) = 4x - 3

substitute x for 5

5 = 4x - 3

5 + 3 = 4x

8 = 4x

2 = x

Answer:

c = 80:)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

d = 8 inches

r = 8/2 = 4 inches

Answer:

4 inches.

Explanation:

If the diameter is a circle, divide the diameter by two and you will have the answer of 4. This gives you the radius.

8 / 2 = 4

Hope this helps. Have a wonderful day.

Answer:

The total length of string needed for 17 identical decorative bottles is 35.70 meters

Step-by-step explanation:

Let us solve the question

∵ String A is 35 centimeters long

∵ String B is 5 times as long as String A

→ Multiply the length of A by 5 to get the length of B

∴ The length of string B = 35 × 5 = 175 cm

∵ Both are necessary to create a decorative bottle

∴ The length needed for 1 bottle = 35 + 175 = 210 cm

∴ Each bottle needs 210 cm to be decorated

∵ There are 17 identical bottles

→ Multiply the length needed for 1 bottle by 17

∴ The total length needed = 17 × 210 = 3570 cm

∴ The total length needed to decorate 17 bottles is 3570 cm

∵ 1 meter = 100 centimeter

→ Divide the total length by 100 to express it in meters

∴ 3570 cm ÷ 100 = 35.70 m

The total length of string needed for 17 identical decorative bottles is 35.70 meters

THE ANSWER IS FALSE IM PRETTY SURE

Answer:

True

Step-by-step explanation:

All radii are half of a diameter.

Answer:

c=4 hope this helpss

Step-by-step explanation:

                                          Answer and Explanation

__________________________________________________________

The value of "c" is 4.

Here's why.

__________________________________________________________

[tex]60-\left(3\cdot c+4\right)=4\cdot\left(c+6\right)+c[/tex]

What does c equal???

__________________________________________________________

Let's try using all numbers to find out what it is

[tex]60-\left(3\cdot 4+4\right)[/tex] = [tex]44[/tex]

[tex]4\cdot\left(4+6\right)+ 4[/tex] = [tex]44[/tex]

So it's 4!

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Answer:

Step-by-step explanation:

-7 + 47=40

Answer:

-7 + n = 40

Step-by-step explanation:

Answer:

Its 0.16666666666  in exact calculation

Step-by-step explanation:

Answer: i think 1240 but i forgot everything from 5th grade Imao

Step-by-step explanation:

Answer:

The answer is $86.82

Step-by-step explanation:

MODS PLEASE STOP DELETING THIS ANSWER!!!!!!!!!!!!!!!!

Answer:

x = 4

Step-by-step explanation:

1.50(8x - 12) = 30

~Simplify left side

12x - 18 = 30

~Add 18 to both sides

12x = 48

~Divide 12 to both sides

x = 4

Best of Luck!

Answer:

so it 15

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Everything can be multiplied by 1 in this situation so 1 is the greatest common factor

Answer:

500

Step-by-step explanation:

Let there were a total of x number of customers.

As 125customers choose chocolate flavor as their favorite which is 25% of the total customers surveyed, so

25% of x = 125

0.25x=125

x=125/0.25=500

Therefore, the total number of customers surveyed is 500.

Answer:

your answer would be 9.4

Step-by-step explanation:

you'd have to plug in the numbers in the equation.

8^2 + 5^2 = c^2

64 + 25 = c^2

89 = c^2 then you'd do the square root of 89 which will give you 9.4 when rounded to the nearest tenth.

Answer:

The last 1 (D)

Step-by-step explanation:

The lines have to be straight nd have to pass through the origin

Answer:

i have this problem before and i believe it was c and if not b

Step-by-step explanation: