A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 90 kilograms and gained weight at a constant rate of 8 lbs. a week.
a. Write a function to represent this situation. Use x and y as your variables.
b. What would his weight be after 8 weeks?

Answer:

b

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

Quadrilateral

Step-by-step explanation:

Answer:

A. 7

Step-by-step explanation:

483 ÷ 21 = 23. that means 1 nautical miles happens every 23 minutes. 7 × 23 = 161.

Answer:7

Step-by-step explanation:483 divided by 3 is 161 and 21 divided by 3 is 7

Answer:

a = 2.18 units

Step-by-step explanation:

[tex] \sin \: 33 \degree = \frac{a}{4} \\ 0.544639035 = \frac{a}{4} \\ a = 4 \times 0.544639035 \\ a = 2.17855614 \\ a = 2.18 \: units[/tex]

The sum of the angles in a triangle is always 180 degrees. This fundamental concept helps in calculating unknown angles in triangles.

Triangle Angle Sum Theorem: The sum of the angles in a triangle is always equal to 180 degrees.

Explanation: In any triangle, the three interior angles add up to 180 degrees. This theorem is fundamental in geometry and can be used to solve for unknown angles in triangles.

Example: If two angles in a triangle are 30 degrees and 60 degrees, the third angle can be found by subtracting the sum of the given angles from 180, which gives 90 degrees.

Answer:

88

Step-by-step explanation:

Answer:

In pie: 16pie Regular: 50.24

Step-by-step explanation:

pie times 2 times radius

Answer:

56/9

Step-by-step explanation:

Answer: $115.50

Step-by-step explanation:

500.5-385 = x

Answer:

$115.50

Step-by-step explanation:

Answer:

6 4/9 - 4 7/9 = 1.66666667

Step-by-step explanation:

i  hope this helps. plz correct me if im wrong

Answer:

1 7/9

you get 6 4/9 and 4 7/9 and convert it into a improper fraction

Answer: 7

Step-by-step explanation:

Pythagorean Theorem:

[tex]a^{2}+b^{2} =c^{2}[/tex]

[tex]5^{2} + 5^{2} = 50^{2}[/tex]

[tex]\sqrt{50} = 7.07[/tex]

7.07 rounds to 7

Answer:

7 in

Step-by-step explanation:

2 formula of Area of square

1/2 * c * c = 5 * 5

1/2 * c^2 = 25

c^2 = 25*2

c^2 = 50

c = square root 50

nearest to 7 in

Answer:

[tex] = 132\pi[/tex]

Step-by-step explanation:

[tex]V

\\

=

π

{r}^{2}

\frac{h}{3} \\

=

π

·

{6}^{2}

·

\frac{11}{3}

\\

≈132\pi

[/tex]

Answer: 6 floors

Step-by-step explanation: Given that:

The first floor height = 25ft

Where each subsequent floor is 15 ft. tall.

Entry point on car window above horizontal = 12 in.

Distance from car window to victim = 42 in.

Distance from building to victim’s car = 350 ft.

Using similarity in angle method, we have

(25 + 15x)/350 = 12 in/42 in

Convert inches to feet by dividing the value by 12

(25 + 15x)/350 = 1/3.5

Cross multiply

3.5(25 + 15x) = 350

87.5 + 52.5x = 350

52.5x = 350 - 87.5

52.5x = 262.5

X = 262.5/52.5

X = 5

Therefore,

The floor number = 1 + 5 = 6 floors

To determine the shooter's floor number, we divide the distance from the building to the victim's car by the height of each floor. Using the given measurements, the shooter was on the 6th floor.

To determine the floor number from feet, we need to divide the distance from the building to the victim's car by the height of each floor. The height of the first floor is given as 25 ft, and each subsequent floor is 15 ft taller than the previous. We calculate the number of floors using the formula: floor number = (distance from building to car - height of first floor) / height of each subsequent floor. Plugging in the given values, we find that the shooter was on the 6th floor, so the correct answer is option b) 6.

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Answer: I think your answer is A. 1.8

Step-by-step explanation:

Not 100% sure but 90% though

I HOPE THIS HELPS  sorry if its wrong

Answer:

I know one answer is "The slope of the line is 12" Not sure about the other answer though

Step-by-step explanation:

sorry

Answer:

The two answers are the slope is 12 and one point on the line is (4,5)

Step-by-step explanation:

To express 15 seconds as a fraction of 2 hours, first convert 2 hours to seconds, which is 7200 seconds. The fraction is thus 15 / 7200, and simplified, it is 1/480.

To express 15 seconds as a fraction of 2 hours, we need to convert both quantities to the same unit.

There are 60 seconds in a minute and 60 minutes in an hour, so 2 hours is equivalent to 2 × 60 × 60 = 7200 seconds.

The fraction representing 15 seconds out of 2 hours is therefore 15 / 7200.

Simplifying this fraction, we divide numerator and denominator by the greatest common divisor (15), which gives us 1 / 480. Thus, 15 seconds is 1/480 of 2 hours.

Now let's review some additional units of time:

For conversion, 1 hour is equal to 60 minutes, so if we have 100 minutes, we can represent it as 1 hour 40 minutes. Similarly, the sum of 1 hour 55 minutes and 45 minutes is 2 hours 40 minutes.

It's important to remember to start your subtractions by subtracting seconds from seconds and minutes from minutes, borrowing from the larger units when necessary.

Answer:

12^3/12^7= 1/12^(7-3)= 1/12^4

Step-by-step explanation:

The solution to the problem '12 to the power of 3 over 12 to the power of 7' is 12 to the power of negative 4 or written as a fraction, it is 1 over 12 to the power of 4 or 1 over 20736.

The expression 123 over 127 refers to the mathematical concept of 'division of exponentials with the same base'. The rule in this case is to subtract the exponents. Therefore, 123 over 127 simplifies to 12-4. This can be understood as 1 over 124, or further simplified, 1 over 20736 if you multiply out the exponent.

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Answer:

12 degrees

Step-by-step explanation:

[tex]b^2=a^2+t^2-2atCosB\\15^2=50^2+60^2-2(50)(60)Cos B\\Cos B=\frac{15^2-(50^2+60^2)}{-2(50)(60)} \\Cos B=0.9792\\B=arc Cos 0.9792\\B=11.7^0[/tex]

Maricel's code will adjust the shot by 12 degrees to the nearest degree.

Answer:

2.26 meters

Step-by-step explanation:

so the volume for a cylinder is

v= π r² x h

now just substitute in the numbers you know:

180= π r² x 11.25

now rearrange the formula:

180= r² x 11.25π

(rearranging allows you to do this next bit with ease)

now divide by 11.25π on both sides to get

[tex]\frac{180}{11.25\pi }[/tex]= r²

to maintain accuracy, don't divide yet

now you know what r² is but you want r, so square root it:

[tex]\sqrt{\frac{180}{11.25\pi } }[/tex]=r

type that into a calculator and i think the answer is ...

2.25675833419

write the long answer in case you make a mistake when rounding

round appropriately : 2.26 meters   ( I've done it to 2 decimal places)

and hopefully that's the correct answer.

Answer:

True

Step-by-step explanation:

Answer: true

Step-by-step explanation:

A P E X

Answer: Angle XCB = 46 degrees ( ∠XCB = 46°)

Step-by-step explanation: Please refer to the picture attached for details.

A rhombus basically is a parallelogram with a diamond shape. All four sides have equal length, opposite sides are parallel and opposite angles are equal.

The sides have been labelled ABCD as stated in the question, and the point X is extended to point B to form angle XBC and also extended to point C to form angle XCB. Upon careful observation we shall notice that a triangle has been formed with sides BXC and angle X is a right angle, which measures 90 degrees.

The sum of angles in a triangle equals 180, therefore,

Angle XBC + Angle XCB + Angle X = 180

Substituting for the given values we now have the following;

4a + 12 + 6a - 2 + 90 = 180

10a + 10 + 90 = 180

10a + 100 = 180

Subtract 100 from both sides of the equation

10a = 80

Divide both sides of the equation 10

a = 8

If XCB = 6a - 2,

Substitute for the value of a

XCB = 6(8) - 2

XCB = 48 - 2

XCB = 46

Therefore angle XCB measures 46 degrees.

Answer:

100 is the answer

Answer:

25/100= 150/x

1/4=150/x

x=150×4=600

600 is the number whose 25% is 150.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The surface area of a rectangular prism enables you to know the amount of material needed to build the prism. In your prism, as shown by the calculation below, you will need 56 Square Units of Material to build a prism of that dimension.

The volume on the other hand helps you to know the quantity of material that will  fit into the prism. Similarly, in your prism, you can fit in 24 cubic units of load inside the rectangular prism.

Given your prism with dimensions L=6 W=2 H=2

        =2(6*2+6*2+2*2)=2(12+12+4)=2(28)=56 Square Units

Answer:

width is 25 inches

length is 31 inches

Step-by-step explanation:

We will need the formula for perimeter of a rectangle:

P = 2(l + w)

"l" is length, "w" is width

If the length exceeds the width by 6, then:

l = w + 6       <= Substitute this into the equation

P = 2(l + w)

P = 2(w + 6 + w)

Remember we also know the perimeter is 112:

112 = 2(w + 6 + w)

Collect like terms:

112 = 2(2w + 6)

Start isolating "w" to find width.

56 = 2w + 6             Divided both sides by 2

50 = 2w                    Subtracted 6 from both sides

25 = w                      Divided both sides by 2

w = 25                      Variable on left for standard formatting

The width is 25 inches.

Find the length using "length exceeds width by 6".

l = w + 6

l = 25 + 6            Substitute the width

l = 31

The length is 31 inches.

∴ The length is 31 inches and the width is 25 inches.

Check your answer with the perimeter formula.

P = 2(l + w)

112 = 2(31 + 25)      Substitute all the variables.

112 = 2(56)

112 = 112               Same answer

LS = RS                Left side equals right side

The answer is correct.

Answer:

A B C

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

(9,40,41) is a Pythagorean Triple, farther down the list than teachers usually venture.

Answer: D. 41 cm

There's a subset of Pythagorean Triples where the long leg is one less than the hypotenuse,

a^2+b^2 = (b+1)^2

a^2 + b^2 = b^2 + 2b +1

a^2=2b+1

So we get one for every odd number, since the square of an odd number is odd and the square of an even number is even.

b = (a^2 - 1)/2

a=3, b=(3^2-1)/2=4, c=b+1=5

a=5, b=(5^2-1)/2 =12, c = 13

a=7, b=24, c=25

a=9, b=40, c=41

a=11, b=60, c=61

a=13, b=84, c=85

It's good to be able to recognize Pythagorean Triples when we see them.  

Otherwise we'd have to work the calculator:

√(9² + 40²) = √1681 = 41

Answer:

An inverse trigonometric function is a function in which you can input a number and get/output an angle (usually in radians). It is the inverse function of the basic trigonometric functions.

Step-by-step explanation:

Trigonometric functions are derived from ratios of certain sides of a right triangle in reference to an angle. The graph of which is a wave, with amplitude in the y-axis and angle in the x-axis. We will first define the sine function written as:  

sin(θ)=oppositesidehypotenuse

As we can see, the sine function, together with all the other trigonometric functions, relates an angle to the ratio of an opposite side and the hypotenuse of right triangle. The input here is an angle, and the output is a ratio. Therefore, the inverse process to this is actually just a reverse process.  

Let  

y

=

s

i

n

(

θ

)

y=sin(θ)

Then inverse trigonometric function outputs an angle. However, we can set y to its original value via transitivity:  

s

i

n

−

1

(

y

)

=

θ

s

i

n

−

1

(

o

p

p

o

s

i

t

e

s

i

d

e

h

y

p

o

t

e

n

u

s

e

)

=

θ

sin−1(y)=θsin−1(oppositesidehypotenuse)=θ

Thus we see, that the input to an inverse trigonometric function is a unitless ratio of two sides of a representative right triangle.

The input to an inverse trigonometric function is a unitless ratio of two sides of a representative right triangle.

We need to find what is the input for inverse trigonometric functions.

An inverse trigonometric function is a function in which you can input a number and get/output an angle (usually in radians).

The inverse trigonometric functions do the same thing as the inverse trigonometric relations, but when an inverse function is used, because of its restricted range, it only gives one output per input--whichever angle lies within its range.

Example:

Inverse sine of 1/2 is the angle of 30°

That is, [tex]sin^{-1}(\frac{1}{2} )=30^o[/tex]

As we can see, the sine function, together with all the other trigonometric functions, relates an angle to the ratio of an opposite side and the hypotenuse of the right triangle. The input here is an angle, and the output is a ratio. Therefore, the inverse process to this is actually just a reverse process.

Therefore, the input to an inverse trigonometric function is a unitless ratio of two sides of a representative right triangle.

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Answer:

x=16

so B

Step-by-step explanation:

Answer:

B. 16

Step-by-step explanation:

x-12=4

+12 +12

x=16

f(4)= 16.

The answer is **C) 16**.

Here's how to evaluate the piecewise function f(4):

1. **Identify the appropriate rule:**

  - Since 4 is greater than 2 (4 > 2), we'll use the second rule of the function: f(x) = 5x - 4.

2. **Substitute x = 4:**

  - f(4) = 5(4) - 4

3. **Simplify:**

  - f(4) = 20 - 4 = 16

Therefore, f(4) = 16.

The other options are incorrect because they either use the wrong rule (A and D) or miscalculate the result (B).

Answer:

88

Step-by-step explanation:

You multiply the base times height which is 22 times 8 and divide it by 2.