josie makes fruit punch by mixing fruit juice and lemonade in the ratio 1:4 she needs to make 40 litres of punch for a party
how much of each ingredient does she need

Answer:

Therefore, the exact value of Tan 60 degrees is √3. We can also derive the values of tan 0°, 30°, 45°, 90°, 180°, 270° and 360° in the same way

The value of tan 60° is √3, approximately 1.732.

To calculate the value of tan 60°, we need to use the trigonometric function tangent. Tan 60° represents the ratio of the length of the side opposite the angle to the length of the adjacent side in a right triangle with a 60° angle.

In a 30°-60°-90° right triangle, the length of the opposite side opposite the 60° angle is equal to the square root of 3 times the length of the adjacent side.

The length of the opposite side is √3, and the length of the adjacent side is 1.

Using these values, we can calculate the value of tan 60°:

tan 60° = (opposite side) / (adjacent side) = (√3) / 1 = √3.

Therefore, the value of tan 60° is √3, approximately 1.732.

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Answer:

7

Step-by-step explanation:

correct with acellus

The expected value of a random variable with the following probability distribution will be 7.

Expectation can be taken as a weighted mean, weights being the probability of occurrence of that specific observation.

Thus, if the random variable is X, and its probability mass function is given being  f(x) = P(X = x), then we have:

[tex]E(X) = \sum_{i=1}^n( f(x_i) \times x_i)[/tex]

[tex]\rm E(X)=2 \times \frac{1}{36} +3 \times \frac{1}{28} +4 \times \frac{1}{12} +5 \times \frac{1}{9} +6 \times \frac{5}{36} + 7 \times \frac{1}{6} +8 \times \frac{5}{36}+9 \times \frac{1}{9} +10 \times \frac{1}{12} +11 \times \frac{1}{18} +12 \times \frac{1}{36} \\\\ E(X)=7[/tex]

Hence the expected value of a random variable will be 7.

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Answer:

true, false, true

Step-by-step explanation:

it only changes the direction

Answer:

1st pic:

x = 61

left angle = 125 degrees

right angle = 55 degrees

2nd pic:

n = 14

left angle = 78 degrees

right angle = 102 degrees

Step-by-step explanation:

1st pic:

use the following equation ⇒ 2x + 3 + x - 6 = 180

combine like terms ⇒ 3x - 3 = 180

add 6 on both sides ⇒ 3x - 3 + 3 = 180 + 3 ⇒ 3x = 183

divide both sides by 3 ⇒ [tex]\frac{3x}{3} = \frac{183}{3}[/tex]

x = 61

solve the angles by subtituting 61 for x

left angle = 2x + 3 ⇒ 2 x 61 + 3 ⇒ 125 degrees

right angle = x - 6 ⇒ 61 - 6 ⇒ 55 degrees

2nd pic:

use the following equation ⇒ 4n + 22 + 8n - 10 = 180

combine like terms ⇒ 12n + 12= 180

subtract 12 on both sides ⇒ 12n + 12 - 12 = 180 - 12 ⇒ 12n = 168

divide both sides by 12 ⇒ [tex]\frac{12n}{12} = \frac{168}{12}[/tex]

n = 14

you can find the angles by substituting 14 for n:

left angle = 4n + 22 ⇒ 4 x 14 + 22 =78 degrees

right angle: 8n - 10 ⇒ 8 x 14 - 10 = 102 degrees

Answer:

why are these things so complicating

Step-by-step explanation:

IM GNNA ANSWER IT LEMME JUST THINK

Answer:

20%

Step-by-step explanation:

if you take 40/ 200 = 20

Answer:

20%

Step-by-step explanation:

convert the fraction to 40/200

no this is 40 but it is c

Answer:

not a function because the points' x-values repeats

Step-by-step explanation:

waittttttttttttt plzzzzzzz

Answer: 100+100/70-6*4= 77 3/7 (Mixed number form) or 542/7 (Improper fraction form)

Answer:

the total amount paid by her is P450

Step-by-step explanation:

The computation of the total amount paid by her is given below;

= Total cost + delivery charges

= 6 tubs at P70 + P 30

= P420 + P30

= P450

Hence, the  total amount paid by her is P450

Answer:

x = 121

Step-by-step explanation:

Let the measure of the altitude of the given triangle be h units.

By geometric mean theorem:

[tex]h = \sqrt{23 \times x} \\ \\ h = \sqrt{23x} \\ \\ now \: by \: pythagors \: theorem \\ \\ {(x + 11)}^{2} = {h}^{2} + {x}^{2} \\ \\ \cancel{{x}^{2}} + 22x + 121 = {( \sqrt{23x} )}^{2} + \cancel{{x}^{2}} \\ \\ 22x + 121 = 23x \\ \\ 22x - 23x = - 121 \\ \\ - x = - 121 \\ \\ x = 121[/tex]

Answer:

2268cm^2

Step-by-step explanation:

Area of a parallelogram is L×B×H

9cm×12cm×21cm= 2268cm^2

Answer:

189

Step-by-step explanation:

B × H =

12× 9 =

= 189 hfjxijdkvkis

Answer:

15 is your answer

Step-by-step explanation:

[tex]m = \frac{40 - 10}{5 - 3} = 15[/tex]

hope it helps you

have a great day!!

Answer:

Bdksfdmwfdbdvenwksgzbb2i38ryened

Answer:

si, eso es correcto

Step-by-step explanation:

Espero que esto ayude a marcar el MÁS CEREBRAL !!!

Answer:

144 sq feet.

Step-by-step explanation:

A=B×H/2 2.5×4.8=12 12/2=6

24×6=144.

Answer:

First box: 12.56, second box: 12.56

Step-by-step explanation:

We know the volume (v) is 25.12

We know the base's area (b) is 12.56 (from the statement supplied)

Answer:

Step-by-step explanation:

the answer is 1.

Answer:

1 I think, sorry if I'm wrong

Answer:

use microsoft maths solver

Answer:

Slope = 0

slope is the same as gradient, so you will use the formula

M = y2 - y1 / x2 - x1         in this case (2,2)          and (-1.2)

    the first 2,is x1.then the other 2 in the first coordinate is y1 , for the last coordinate -1 is x2 and 2 is y2, use the formula I gave you , you will see that the answer is 0

Answer: m=-16

Step-by-step explanation:

Combine multiplied terms into a single fraction, Multiply all terms by the same value to eliminate fraction denominators and Simplify.

Answer:

I'm stuck on this one to

Step-by-step explanation:

Answer:

(4, -22)

Step-by-step explanation:

1. Identify the coefficients 2. substitute the coefficients into the expression 3. Solve the equation 4. Evaluate the function for x=4