Daniel rollerbladed 3 miles in 12 minutes. At this rate, how many miles will he rollerblade in 1 hour? Show your work.

Answer:

12

Step-by-step explanation:

[tex] \frac{ {6}^{2} }{3} = \frac{36}{3} [/tex]

[tex] \frac{36}{3} = 12[/tex]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

[tex]\frac{6^2}{3}[/tex]  Equation

Step 2

[tex]\frac{6^2}{3}[/tex]  Simplify the fraction

[tex]\frac{36}{3}[/tex]

Step 3

[tex]\frac{36}{3}[/tex]  Divide both sides by 3

12

answer

12

Hope this helps

Answer:

the answer is 44

Answer:

can't see the options you have but if I show you how to work it out maybe that will help??

100 + 5 = 105

105/100 = 1.05

600 X 1.05^ to number of years

Step-by-step explanation:

C = -11

A = -13

V = 9

E = -9

If you are adding them: -24

Hope this helps!

Answer:

1

Step-by-step explanation:

First, we have to make the fractions improper.

To this we would need to multiply the denominator by the whole number and add it to the numerator. 2*4 is 8.  8 + 5 is 13. So for the first fraction, it will be 13/5. Let’s do the second fraction. 2*4 is 8. 8 + 3 is 11. So for the second fraction, it will be 11/2. Since the fractions have the same denominator, we will not have to do anything to them. Now, all you have to do is simple subtraction. 13 - 11 is 2. Since the denominators are the same, it will equal to 2. So the final answer is 2/2 or 1.

Answer:

5

Step-by-step explanation:

xf

Answer:

65

Step-by-step explanation:

15*3+15=60

30*2+15=75

20*4+15=85

10*5+15=65

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10 x 2 = 20

Answer:

26

Step-by-step explanation:

Answer:

C. 26 m

Step-by-step explanation:

home / math / pythagorean theorem calculator

Pythagorean Theorem Calculator

Please provide any 2 values below to solve the Pythagorean equation: a2 + b2 = c2.

Result

abc

Given a=24 and b=10,

c = 26

∠α = 67.38° = 67°22'48" = 1.17601 rad

∠β = 22.62° = 22°37'12" = 0.39479 rad

area = 120

perimeter = 60

h =  

120

13

= 9.2307692307692

+ Show Calculation Steps

a =  

24

√  

b =  

10

√  

c =  

√  

Calculate  

Related

Triangle Calculator | Right Triangle Calculator

Pythagorean Theorem

The Pythagorean Theorem, also known as Pythagoras' theorem, is a fundamental relation between the three sides of a right triangle. Given a right triangle, which is a triangle in which one of the angles is 90°, the Pythagorean theorem states that the area of the square formed by the longest side of the right triangle (the hypotenuse) is equal to the sum of the area of the squares formed by the other two sides of the right triangle:

In other words, given that the longest side c = the hypotenuse, and a and b = the other sides of the triangle:

a2 + b2 = c2

This is known as the Pythagorean equation, named after the ancient Greek thinker Pythagoras. This relationship is useful because if two sides of a right triangle are known, the Pythagorean theorem can be used to determine the length of the third side. Referencing the above diagram, if

a = 3 and b = 4

the length of c can be determined as:

c = √a2 + b2 = √32+42 = √25 = 5

It follows that the length of a and b can also be determined if the lengths of the other two sides are known using the following relationships:

a = √c2 - b2

b = √c2 - a2

The law of cosines is a generalization of the Pythagorean theorem that can be used to determine the length of any side of a triangle if the lengths and angles of the other two sides of the triangle are known. If the angle between the other sides is a right angle, the law of cosines reduces to the Pythagorean equation.

There are a multitude of proofs for the Pythagorean theorem, possibly even the greatest number of any mathematical theorem.

Algebraic proof:

In the figure above, there are two orientations of copies of right triangles used to form a smaller and larger square, labeled i and ii, that depict two algebraic proofs of the Pythagorean theorem.

In the first one, i, the four copies of the same triangle are arranged around a square with sides c. This results in the formation of a larger square with sides of length b + a, and area of (b + a)2. The sum of the area of these four triangles and the smaller square must equal the area of the larger square such that:

(b + a)2 = c2 + 4  

ab

2

= c2 + 2ab

which yields:

c2 = (b + a)2 - 2ab

= b2 + 2ab + a2 - 2ab

= a2 + b2

which is the Pythagorean equation.

In the second orientation shown in the figure, ii, the four copies of the same triangle are arranged such that they form an enclosed square with sides of length b - a, and area (b - a)2. The four triangles with area ab  2 also form a larger square with sides of length c. The area of the larger square must then equal the sum of the areas of the four triangles and the smaller square such that:

(b - a)2 + 4  

ab

2

=

(b - a)2 + 2ab

= b2 - 2ab + a2 + 2ab

= a2 + b2

Since the larger square has sides c and area c2, the above can be rewritten as:

c2 = a2 + b2

which is again, the Pythagorean equation.

There are numerous other proofs ranging from algebraic and geometric proofs to proofs using differentials, but the above are two of the simplest versions.

Answer:

[tex]a_n=-2-5n[/tex]

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are those where any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

We are given the sequence

-7 -12 -17 -22 -27 ...

The first term of this sequence is a1=-7. We can calculate the common difference by subtracting two consecutive terms:

r = -12 - (-7) = -12 + 7 = -5

The nth term is:

[tex]a_n=-7+(n-1)(-5)[/tex]

Multiplying:

[tex]a_n=-7-5n+5[/tex]

Simplifying:

[tex]\boxed{a_n=-2-5n}[/tex]

Answer:

C

Step-by-step explanation:

Because lets say we have a point (1,2)

when reflecting this point over the y-axis it becomes (-1,2) so only the sign of the X value changes. Therefore by writing the system f(x)=g(-x) it changes the X value.

Answer:

4=b

Step-by-step explanation:

3b+3+1=4b

3b+4=4b

-3b    -3b

4=b

Answer:

B

Step-by-step explanation:

Answer:

slope is 18 and it represents the change in x or in your case, whatever x represents such as miles per hour or bananas eaten per minute

Step-by-step explanation:

Answer:

The length of the box is (x + 1)

The height of the box is (x + 1)

Step-by-step explanation:

The given function representing the volume of the box is presented as follows;

V = x³ + 6·x² + 9·x + 4

The function representing the width of the box, W = x + 4

Therefore, we have;

(x³ + 6·x² + 9·x + 4)/(x + 4) = x² + 2·x + 1

x³ + 4·x²

    [tex]{}[/tex]  2·x² + 9·x + 4

    [tex]{}[/tex]  2·x² + 8·x

    [tex]{}[/tex]               x + 4

Therefore, we have;

(x³ + 6·x² + 9·x + 4) = (x + 4) × (x² + 2·x + 1) = (x + 4) × (x + 1) × (x + 1)

(x³ + 6·x² + 9·x + 4) = (x + 4) × (x + 1) × (x + 1)

The width of the box = (x + 4)

The length of the box = (x + 1)

The height of the box = (x + 1).

Answer:

5 - 6

(b) since 5 is lesser than 6

the answer is -1

if the question was the other way round; 6 - 5 is 1

Answer:

It’s D

Step-by-step explanation:

Answer:

a 1,5

Step-by-step explanation:

if the yintercept is 2, and the y increases 3 per every x value, then when the x would be one the y would be 5

Answer:

12

Step-by-step explanation:

Type Into Calculator:

SAT-EDIT-TYPE IN X VALUES AND Y VALUES (FROM ORDERED PAIR)-STAT-CALC-4-ENTER

Answer:

Domain: [-5,4)

Range: (0, 4]

Step-by-step explanation:

You can see that the domain does not include the number four because of the open dot marking that spot, and the range does not include 0 because of this same reason.

Answer:

No, Kareem is incorrect.

Step-by-step explanation:

Kareem says that the ratio of [tex]\frac{4}{1}=\frac{12}{9}[/tex] because 4 + 8 = 12 and 1 + 8 = 9

But the correct way to rewrite the ratio 4 : 1 is,

[tex]\frac{4}{1}=\frac{4\times 3}{1\times 3}[/tex]

Which becomes as,

[tex]\frac{4}{1}=\frac{12}{3}[/tex]

Therefore, Kareem is not correct.

Correct ratio equivalent to 4 : 1 is 12 : 3.

Answer:

x=-6

Step-by-step explanation:

Move the -3 under 18 (18/-3), Then you get x=18/-3. Divide!

ANSWER: x=-6