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Serggg [28]
3 years ago
8

Find tan θ for θ = 60° .

Mathematics
1 answer:
Shtirlitz [24]3 years ago
3 0

Answer:

\sqrt{3}

Step-by-step explanation:

tanx=\frac{sinx}{cosx}

sin60°/cos60°=\frac{\sqrt{3} }{2} / \frac{1}{2}= \sqrt{3}

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Please help with this i cant get it right PLEASE!!
Anna11 [10]

Answer:

$285.12

Step-by-step explanation:

first, we'll solve for the 45% sale.

45/100

0.45 x 480

= 216

subtract from the original price

480 - 216

= 264

now we'll solve for the 8%

8/100

0.08 x 264

= 21.12

add the 45% and 8%

264 + 21.12 = 285.12

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3 years ago
An aged merchant of Baghdad was much respected by all who knew him. He had three sons, and it was a rule of his life to treat th
IRINA_888 [86]

Answer:

Son number 1 has 3 full, 5 half, and 3 empty barrels.

Son number 2 has 4 full, 3 half and 4 empty barrels.

Son number 3 has 3 full, 5 half, and 3 empty barrels.

Step-by-step explanation:

Let's first calculate the amount of honey we have (in barrel unit):

10*1 + 13*0.5 + 10*0 = 16.5 honey units

As the father wants to split it equally between the 3 sons, each of them should get 16.5 / 3 = 5.5 honey units

And since we have 33 barrels in total which must be split equally between the sons, each should receive 33 / 3 = 11 barrels.

Since the sons are identical, let's start by splitting each of the barrels equally. We can rearrange later to match all criteria:

3 full, 4 half, and 3 empty for each of the sons, makes it 10 barrels and 3*1 + 4*0.5 + 3*0 = 5 honey unit

For 3 sons there would be 1 full, 1 half and 1 empty barrels left

We can give 1 half barrel to the 1st son, now he has 11 barrels and 5.5 units of honey. He's good to go. we have 1 full, 1 and 1 empty barrels left.

Give the full barrel to the 2nd son, now he has 11 barrels, but 6 unit of honey. So we trade the empty barrel for a half barrel of his. So he would have 4 full, 3 half and 4 empty barrels. That accounts for 11 barrels, 4*1 + 3*0.5 + 3*0 = 5.5 barrels.

We are left with 1 half barrel, that can be given to the 3rd son, now he would have 3 full, 5 half, and 3 empty barrels. That accounts for 11 barrels and 3*1 + 5*0.5 + 3*0 = 5.5 unit of honey.

7 0
3 years ago
Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of pape
jenyasd209 [6]

Answer:

C. About 75 in²; Aubrey found the surface area of the cone and included the base.

Step-by-step explanation:

In the questions above we were given the following:

Cone with

Diameter(D) = 6 inches

Slant height (l) = 8 inches.

Aubrey made an error in her calculation.

She found the Total Surface area of the cone using the formula:

Total Surface Area of a cone = πrl + πr²

= πr(l + r)

The Total surface area of a cone is the calculated as Sum of the curved surface area of a cone and the base of the cone.

Where:

Curved surface area of the cone is calculated as = πrl

Base of a cone is calculated as = πr²

Where r = radius of the cone

l = slant height of the cone

In the question, we were given

slant height(l) = 8 inches.

radius = Diameter ÷ 2 = 6÷2 = 3 inches.

Using π = 3.14

Surface area = 3.14 × 3(8+3)

= 9.42 × 11

Surface area = 103.62 in²

Approximately to the nearest inch = 104 in² or 104 square inches.

But this answer is WRONG.

The RIGHT FORMULA Aubrey should have used is

Curved Surface Area or the Lateral Area of a Cone = πrL

slant height(l) = 8 inches.

radius = Diameter ÷ 2 = 6÷2 = 3 inches.

Using π = 3.14

Curved Surface Area of a Cone = πrL

= 3.14 × 3 inches × 8 inches

= 75.36 square inches or 75.36in²

Approximately to the nearest inch = 75 square inches or 75 in².

This is the correct answer.

The error Aubrey made was she calculated the Total surface area of the cone which includes the base of the cone instead of calculating the curved surface area of the cone only.

Hence, from the above calculation , we can see that Option C "About 75 in²; Aubrey found the surface area of the cone and included the base" is the correct option.

5 0
3 years ago
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