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1. 1/12 batches (0.0833333)

2. 2.83333 batches

3. 1.1667 batches

Explanation

1. 1 ÷ 12 = 1/12

2. 34 ÷ 12 = 2.83333

3. 14 ÷ 12 = 1.1667

Answer:

13m

Step-by-step explanation:

[tex]d=50tan(15)=13m[/tex]

The required distance from the boat to the foot of the light house, which is at sea level is 13meter

Given that,

The top of a light house 50 meters high,

The angle of depression of a boat out at sea has a measure of 15°.

We have to determine,

To the nearest meter the distance from the boat to the foot of the light house, which is at sea level.

According to the question,

The angle of depression may be found by using this formula = opposite/adjacent.

The opposite side in this case is usually the height of the observer or height in terms of location.

Therefore, angle of depression = 15degree

Height of the light house = 50m

The distance from the boat of the light house is denoted by d.

Then the distance from the boat of the light house is given as.

[tex]tan15 = \frac{d}{50} \\\\d = 50 \times tan15\\\\d = 50\times0.26\\\\d = 13[/tex]

Hence, The required distance from the boat to the foot of the light house, which is at sea level is 13meter

For more information about Trigonometry click the link given below.

https://brainly.com/question/2773823

Answer:

$0.88 per pound

Step-by-step explanation:

you want to divide the 3/4 pounds by 3, and when you do that, you also have to divide the 66 cents by 3 as well, then multiply the 1/4 you get from dividing 3/4 by 3, and multiply it by 4 to get 1 pound, but when you do that, you have to do the same thing with the 22 cents you get from dividing 66 cents by 3, which will give you 88 cents per pound

Answer:

10inches

Step-by-step explanation:

Let the length of one side of the square be  a

If the diagonal of a square is 10√2 inches

According to pythagoras theorem

a²+a² = (10√2)²

2a² = 100(2)

2a² = 200

a² = 200/2

a² = 100

a = √100

a = 10

Hence the length of one side of the square is 10inches

Answer:

The number of girls is at most 9 girls

y ≤ 9

Step-by-step explanation:

The chess clubcab have at most 36 members.

At most means : Less than or equal to 36 members and it is represented by the inequality = ≤

The are 3 times as many boys as girls in the chess club.

Boys = x

Girls = y

Hence,

x = 3y

Which inequality could be used to determine the possible number of girls, x, in the chess club?

Therefore,

x + y≤ 36

3y + y ≤ 36

4y ≤ 36

y ≤ 36/4

y ≤ 9

Girls = y

The number of girls is at most 9 girls

Answer:

4

Step-by-step explanation:

If its 1/4 then you can use it 4 times to equal a whole yard

Answer:

x=216°

Step-by-step explanation:

100%=360°

To find 10% divide by 10

10%=36°

x4

40%=144°

in a full circle thered 360°

360-144=216°

x=216°

Options:

A. −x2−2x+35=0

B. 5x2+40x+60=0

C. −4x2+24x−20=0

D. x2+12x+20=0

Answer: its not B

sorry it only let me choose once ttm2021

Answer:

(1,-1)

Step-by-step explanation:

the solution is where the two lines meet up at and they meet up at (1,-1)

Answer:

The area will be:

[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].

Step-by-step explanation:

Using the definition of tangent, we have:

[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]

We know that tan(α) = 1, then we can find AB

[tex]1=\frac{6}{\vec{AB}}[/tex]

[tex]\bar{AB}=6\: u[/tex]

u means any unit.

Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:

[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]

[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]

[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]

[tex]\bar{BC}=6\sqrt{3} \: u[/tex]

So, the base of the triangle will be:

[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]

The area of a triangle is given by the following equation:

[tex]A=\frac{b*h}{2}[/tex]

[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]

[tex]A=18(1+\sqrt{3})[/tex]

Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].

I hope it helps you!

Answer:

7629.39453125

Step-by-step explanation:

The formula for the n-th term is:

[tex]k_n = \frac{5^{n-1}}{2^{n-2}}[/tex]

So:

[tex]k_{10} = \frac{5^9}{2^8}[/tex] = 1953125 / 256 = 7629.39453125

Answer:

7629.395 correct answer

Answer: 40%

Step-by-step explanation:

I guessed on this but i got it right

Answer:

40%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Noma cleans   12 pools in 8 hours

How many pools in how many minutes?

8 x 60= 480

He cleans 12 pools in 480 minutes

How many minutes does he take to clean a pool?

480/12 = 40

He cleans a pool in 40 minutes.

How much does he earn to clean a pool?

since he cleans 12 pools to earns $270

then 270/12 =22.5

Therefore, he charges $22.5 to clean a pool in 40 minutes.

Albert  9 pools in 7.5 hours

How many pools in how many minutes?

7.5 x 60= 450

He cleans 9 pools in 450 minutes

How many minutes does he take to clean a pool?

450/9 = 50

He cleans a pool in 50 minutes.

How much does he earn to clean a pool?

since he cleans 9 pools to earns $195.75

then 195.75/9 =21.75

Therefore, he charges $21.75 to clean a pool in 50 minutes.

Answer:

11

Step-by-step explanation:

(13-2)^2/11

11^2=121

121/11=11

Answer:

Step-by-step explanation:

if 15 out of 60 markers are blue

the percentage is 15/60=1/4

0.25*100=25%

Answer:

Each box contains 1424 pencils;

There would be 2848 total pencils in two boxes.

Step-by-step explanation:

1424 x 2 = 2848 pencils

I think the answer is A, B, and E. I'm not sure if it is 100% correct.

Answer:

, so easy

Step-by-step explanation:

3×2.7mm=8.1mm

Answer:

8.1mm

Step-by-step explanation:

equilateral triangle all sides are equal.

If 1 side is 2.7mm what will be the total of three sides. 2.7+2.7+2.7=8.1mm

Answer: 2025

Step-by-step explanation: first you multiply 30x15x9= 4050 but you keep going and then divide 4050/2= 2025 and that would be your answer

                                                      A=2025

The volume of the right triangular prism in cubic fee should be considered as the 2025.

here first we have to multiply the 30, 15 and 9 with each other so it comes 4050

Now we have to half the 4050 so it comes 2025

hence, The volume of the right triangular prism in cubic fee should be considered as the 2025.

Learn more about volume here: https://brainly.com/question/24422556

Answer: [tex]\frac{1}{2}\ \text{of}\ 130> 20\%\ \text{of}\ 320[/tex]

Step-by-step explanation:

[tex]20\%\ \text{of}\ 320\ \text{is}\\\Rightarrow \frac{20}{100}\times 320=64\ \text{miles}[/tex]

[tex]\frac{1}{2}\ \text{of}\ 130\ \text{is} \\\Rightarrow \dfrac{130}{2}=65\ \text{miles}[/tex]

clearly,  [tex]\frac{1}{2}\ \text{of}\ 130> 20\%\ \text{of}\ 320[/tex]

Answer:

kk

Step-by-step explanation:

no pic

Answer:

b = P - c - a

Step-by-step explanation:

Answer:

31°

Step-by-step explanation:

To convert Fahrenheit to Celsius is C= (F-32) * 5/9

So first do parenthesis 87-32= 55

Next multiply that number by 5/9 which is 30.55555555

Then round your answer = 31°

Answer:

I think H=5g-2f÷3 ( I'm not sure at all sorry )