What is the vertical distance between 670 feet above sea level and 300 feet below sea level? You answer​

The body surface area is given by the equation A = 1.6865 m²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the body surface area be represented as A

Now , the equation will be

A = ( HW / 3600 )^1/2

A = √( HW / 3600 )   be equation (1)

where H is the height in centimeters and W is the weight in kilograms

Now , the value of H = 160 cm

The value of W = 64 kg

Substituting the values in the equation , we get

A = √ [ ( 160 x 64 ) / 3600 ]

On simplifying the equation , we get

A = √ ( 10240/3600 )

A = √ ( 2.8444 )

A = 1.6865 m²

Therefore , the body surface area is 1.6865 m²

Hence , the equation is A = 1.6865 m²

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Answer: 0.41

Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).

41 over 100 as a decimal point would be 41 divided by 100

Which produces the equivalent decimal, 0.41

P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)

0.41 = 41%

so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)

Best of luck in 5th grade :)

The equations that Nakeishia can use to determine the number of commercials and the number of movies on which Nakeisha’s songs were played include:

30m + 110(m + 2) = 760

Let the movies be represented by m

Since Nakeisha’s songs were played on 2 more commercials than movies, this will be m + 2.

Nakeisha will earn $30 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. This will be:

30m + 110(m + 2) = 760

This represents the equation.

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The function g( x ) is translated to the left by 9 units and down by 5 units.

Given data ,

Let the first function be represented as f ( x )

where the value of f ( x ) = | x |

Let the translated function be g ( x )

where the value of g ( x ) = | x + 9 | - 5

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

On translating to the left , f ( x + a )

So , the function f ( x ) is translated 9 units to the left by f ( x + 9 ) = | x + 9 |

Now , when the function is translated 5 units down , f ( x ) - 5

So , the translated function is g ( x ) = | x + 9 | - 5

Hence , the function is translated to the left by 9 and up by 5 units.

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Answer:

22. Congruent traingle

24. Similar traingle

We need to compare their corresponding sides and angles to determine if the two triangles are congruent or similar.

Attached flowchart to help you determine if two triangles are congruent or similar: See Attachment:

Properties of the similar triangle:

Properties of the Congruent Triangle:

Step-by-step explanation:

The key rule is: to round up the number one digit to the left has to be the number 5 or more, else it rounds down.

23.827 rounds up because the 8 is more than 5.

1.218 rounds down because 2 is less than 5.

24-1= 23

The slope of the red line is -3/7.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have two lines one is red and other is green.

As, the slope of green line is -3/7 and the red line is parallel to green line.

We know that the parallel lines have same slope.

Then, the slope of red line is -3/7.

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Answer:

Following are the solution to this question:

Step-by-step explanation:

please find the graph image in the attached file.

Given value:

\(AB= c= 1744 \ miles\\\\BC= a= 2451 \ miles\\\\AB= s= 714 \ miles\)

using the law of cosines:  

\(\cos A = \frac{s^2+c^2-a^2}{2bc}\\\\\)

        \(=\frac{714^2+1744^2-2451^2}{2 \times 714 \times 1744}\\\\= -0.9862\)

\(A=cos^{-1} (-0.9862)\\\\A= 170.47^{\circ}\)

\(\cos B = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\B=cos^{-1} (0.9988)\\\\B= 2.7641^{\circ}\\\\\)

\(\cos C = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\C=cos^{-1} (0.9988)\\\\C= 2.7641^{\circ}\)

Answer:

$4.26 per ceiling tile.

Step-by-step explanation:

Answer:

202.3 ounces of real silver

Step-by-step explanation:

Another example would be like pizza. If there are 6 slices of pizza in each box, then 2 boxes of pizza would have 6 + 6 slices = 12 slices. It is 6 slices each * 2 boxes = 12 slices total. The same applies to the coin situation, for every additional coin, multiply 0.85 by the number of coins to get the total weight of real silver.

If there are 238 silver coins, then you have 238 0.85 ounces of real silver. Multiplying 238 by 0.85 to simplify gives you 202.3 ounces of real silver.

Answer:

208?

Step-by-step explanation:

im not sure if this is 100% correct but, all I did was:

238/0.85

=208

The exact value of sin(5π/12) is (√6 + √2)/4

From the question, we have the following parameters that can be used in our computation:

sin 5pi/12

Express properly

So, we have

sin(5π/12)

Convert the angle to degrees

This gives

sin(5π/12) = sin(5/12 * 180)

Evaluate

sin(5π/12) = sin(75)

The actual value of sin(75) is (√6 + √2)/4

This means that

sin(5π/12) = (√6 + √2)/4

Hence, the exact value of sin(5π/12) is (√6 + √2)/4

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The exact value of sin 5π/12 is (√6 + √2)/4

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Angle in trigonometry can be measured in either degree or radian.

π is a measurement in radian which is equivalent to 180° in degrees.

Therefore:

5π/12 = 5 × 180/12

= 75°

Therefore sin5π/12 = sin75°

sin75 = sin( 45+30) = sin45cos30+ cos 45sin30

= 1/√2 × √3/2 + 1/√2 × 1/2

= √3/2√2 + 1/2√2

= (√3+1)/2√2

rationalizing;

(2√6 + 2√2)/8

dividing through by 2

=(√6 + √2)/4

therefore tan75 =(√6 + √2)/4

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Answer: 0.35

Step-by-step explanation:

Times 7 = 2. 45kg

a) He needs 500 g of sugar to make apple crumble for 16 people.

b) She needs 45 g of flour to make apple crumble for 2 people.

c) 500g of apples is enough to make apple crumble for 6 people.

The amounts for this problem are obtained according to the proportions given in the problem.

For 8 people, the amount of sugar needed is of 250 g. For 16 people, the  number of people doubles, hence the amount of sugar needed will also double, as follows:

2 x 250 = 500 g.

For 2 people, the amount of each item is divided by 4, hence the amount of flour needed is given as follows:

180/4 = 45 g.

The amount of apple needed per people is of:

700/8 = 87.5 grams.

For 6 people, the amount is given as follows:

6 x 87.5 = 525 grams.

Hence 500g of apples is enough to make apple crumble for 6 people.

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Answer:

Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x)  is called the logarithmic function with base a .

When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.

It is shifted 2 units vertical.(2 units down).

Answer:

Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x)  is called the logarithmic function with base a .

When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.

It is shifted 2 units vertical.(2 units down).

Step-by-step explanation:

Answer:

the answer to this question 2 cups

Step-by-step explanation:

2 cups is equal to a pint

Newton's first law of motion states that; An object continues to be in its state of rest or uniform motion unless acted upon by an external force in which case, it acts otherwise.

An example of this law is an orange placed on a table.

In essence, the orange continues in its state of rest unless acted upon by a force of push or otherwise by an individual or perhaps wind as the case may be.

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Answer:

  -1

Step-by-step explanation:

Twice a number: 2n.

15 less than the number: n-15.

The sum of those: (2n) +(n-15) = 3n-15.

__

The difference between -19 and the number: -19-n

__

These values are the same, so we have ...

  3n -15 = -19 -n

  4n = -4 . . . . . . . . add n+15 to both sides

  n = -1 . . . . . . . . .  divide by -4

The number is -1.

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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The side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

To order the side lengths IK, KL, IJ, IL, and LJ from least to greatest, we can analyze the given figure.

Since the figure is not drawn to scale, we cannot determine the exact lengths of the sides. However, we can make some observations based on the given angles.

Let's analyze the angles:

Angle L: Since angle L is marked as 47°, we know that side KL is the shortest side, as it is opposite to the smallest angle in a triangle.

Angle I: Since angle I is marked as 20°, we can infer that side IJ is longer than side IK, as it is opposite to a larger angle.

Angle LJ: Since angle LJ is marked as 89°, we can conclude that side LJ is the longest side, as it is opposite to the largest angle in the triangle.

Based on these observations, we can order the side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

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Answer:

i don't know this question but you can just measure it

Answer:

\({19}C_1=19\)

Step-by-step explanation:

We need to find the value of \({19}C_1\).

C stands for combination.

The formula of combination is as follows :

\(nC_r=\dfrac{n!}{r!(n-r)!}\)

Here,

n = 19 and r = 1

So,

\(nC_r=\dfrac{19!}{1!(19-1)!}\\\\nC_r=\dfrac{19!}{1!\times 18!}\\\\nC_r=\dfrac{19\times 18!}{1!\times 18!}\\\\nC_r=19\)

So, the value of \({19}C_1\) is 19.

Answer:

Your answer will be 19C1 =19

Answer:

\(\sqrt{2}\)

Step-by-step explanation:

We can use pytho theorem to find X because its a right triangle, so:

a^2 + b^2 = c^2

plug our numbers

1^2 + 1^2 = x^2

simplify

1+1 = x^2

2=x^2

answer = root2

Answer:

x=6

Step-by-step explanation:

7+5(×-3)=22

expand the brackets:

7 + 5x - 15 = 22

simplify:

5x - 8 = 22

add 8 to both sides:

5x = 30

divide both sides by 5

x = 6

hope this helps

brainliest plz?

x

Answer:

7+5 (x-3)=22

7+5x-15=22

5x+ -8=22

5x=30

x=6

Step-by-step explanation:

PEMDAS

First distribute in the parentheses

Then add like terms together

once you have -8, add it on both sides

then divide 5 from both sides to leave the unknown variable by itself

Finally you have the answer

I hope this helps! :)

Problem 1

-------------------

Explanation:

The given table we have is

\(\begin{array}{|c|c|c|c|c|c|c|} \cline{1-7}\text{Angle} & 0 & \pi/6 & \pi/2 & 5\pi/6 & 3\pi/2 & 2\pi\\ \cline{1-7}f(x) & 1 & 0 & -1 & 0 & 3 & 1\\ \cline{1-7}\end{array}\)

If you were to graph all those points and draw a cosine curve through them, then the function you should get is

\(y = 2\cos\left(x+\frac{\pi}{2}\right)+1\)

The B coefficient is 1, so that leads to a period of

T = 2pi/B

T = 2pi/1

T = 2pi

=============================================

Problem 2

-------------------

Explanation:

Draw out a triangle with these properties

We'll use the law of cosines to find side c

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 270^2 + 170^2 - 2*270*170*cos(100)

c^2 = 117740.902710

c = sqrt(117740.902710)

c = 343.133943

c = 343.134

=============================================

Problem 3

-------------------

Explanation:

If you started with y = sin(x) and applied the transformations stated, then you should end up with \(y = 2\sin\left(2(x+\frac{\pi}{4})\right)\\\\\)

From here, plug in x = 0 to find the y intercept.

\(y = 2\sin\left(2(x+\frac{\pi}{4})\right)\\\\y = 2\sin\left(2(0+\frac{\pi}{4})\right)\\\\y = 2\sin\left(\frac{\pi}{2}\right)\\\\y = 2*1\\\\y = 2\\\\\)

1) The period of the given function is \(2\pi\).

2) Golfer has to originally hit the ball 343.1326 yards for it to go directly to the same position on the green.

1)The function satisfying the given table will be:

\(f(x) = 2Cos(\frac{\pi }{2} +x) +1\)

or \(f(x) = -2Sinx +1\)

The period of the function is the minimum value of the dependent variable x after which the function will repeat itself.

For example, Sin x = Sin(2π + x)

So, 2π will be the period of the function.

Suppose the period of the given function is k

So, f(x+k) = f(x)

\(-2Sin(k+x) +1 = -2Sin x+1\)

\(Sin (k+x) = Sin x\\Sin (k+x) = Sin (2\pi +x)\)

\(k+x = 2\pi +x\)

\(k =2\pi\)

So the period of the given function is \(2\pi\).

2) Consider the first hit as the side AB of a triangle, the second hit as the adjacent side to the first side i.e BC of a triangle. So, angle B will be equal to 100 degrees.

In order to originally hit the ball for it to go directly to the same position on the green we need to calculate AC

So, from the cosine rule

\(Cos B = \frac{AB^{2} +BC^{2}-AC^{2} }{2.AB.BC}\)

AB =270

BC =170

B= 100°

\(Cos 100 = \frac{270^{2} +170^{2}-AC^{2} }{2.270.170}\)

AC = 343.1326 yards

Therefore, 1) the period of the given function is \(2\pi\).

2) Golfer has to originally hit the ball 343.1326 yards for it to go directly to the same position on the green.

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The time it will take after 17 repetitions with the learning curve having a rate of 80% is of:

6.19 seconds.

The learning curve formula is an exponential function defined as follows:

\(y = ab^x\)

In which the parameters are listed as follows:

Then y gives the time it takes to make the xth object.

In the context of this problem, the values of the parameters are given as follows:

Then the time needed for the 17th repetition is of:

y = 275 x (0.8)^17 = 6.19 seconds.

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Answer:

F(10) = 14.41 Billion

The total number of hamburgers that will have been sold by 2013 is 14.41 billion.

Step-by-step explanation:

The exponential function representing the total number of hamburgers sold by a national fast-food chain which grows exponentially can be expressed as;

f(t) = p(a)^t

In 2003, t = 0 and f(0) = 3 Billion

f(0) = p = 3 billion

The initial value p = 3 billion

In 2010, t = (2010-2003) = 7

f(7) = p(a)^7 = 9 billion

3(a)^7 = 9

a^7 = 9/3 = 3

a = 3^(1/7)

Therefore, the function f(t) is;

f(t) = 3(3)^(t/7) .......2

In 2013, t = (2013 - 2003) = 10

Substituting t = 10 into equation 2;

f(10) = 3(3)^(10/7)

F(10) = 14.41195997001 Billion

F(10) = 14.41 Billion

The total number of hamburgers that will have been sold by 2013 is 14.41 billion.

The length of AB in the right triangle is 8 units.

The sides of a right angle triangle can be found as follows:

The right angle triangle has one of its angles as 30 degrees. The side AB can be found using trigonometric ratios.

Hence,

sin 30 = opposite / hypotenuse

where

opposite side = AB

hypotenuse side = 16 units

Therefore,

sin 30 = AB / 16

cross multiply

AB = 16 sin 30

AB = 16 × 0.5

AB = 8 units

Therefore,

AB = 8 units

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Answer:

r = 6 cm

Step-by-step explanation:

C = 2πr

12π = 2πr

12π/2π = 2πr/2π

(The mistake is in the next step when calculating the division.

12π/2π = 6, same way 2πr/2π = r and NOT πr)

6 = r

r = 6 cm

Answer:

In which step did the student make an error?

Step

✔ 4

.

Solving for r, the length of the radius should be

✔ 6

cm.

Step-by-step explanation:

The equation of the line containing the paints A and B is y = -1/3x + 4

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(6, 2) and (0, 4)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 4

Using the other points, we have

6m + 4 = 2

So, we have

6m = -2

Evaluate

m = -1/3

So, we have

y = -1/3x + 4

As an equation, we have

y = -1/3x + 4

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