James knows that when he walks, he takes about 120
120
steps per minute and that each step is 2.75
2.75
feet long. Which calculation is most reasonable for James to use to find out his walking speed in miles per hour?

Answer:

√2 or 1.414

Step-by-step explanation:

the distance between two points

Answer:

m∠JTS = 104° ⇒ (A)

Step-by-step explanation:

The measure of an exterior angle of a triangle at one of its vertices equals the sum of the measures of the opposite interior angles.

Let us use this fact to solve the question

In ΔTSR

∵ T ∈ ray RJ

∴ ∠JTS is an exterior angle of ΔTSR

→ By using the fact above

∴ ∠TSR and ∠TRS are the opposite interior angles to ∠JTS

∴ m∠JTS = m∠TSR + m∠TRS

∵ m∠JTS = 27x - 4

∵ m∠ TSR = 30°

∵ m∠TRS = 18x + 2

→ Substitute their values in the equation above

∴ 27x - 4 = 30 + 18x + 2

→ Add the like terms in the right side

∴ 27x - 4 = 18x + 32

→ Add 4 to both sides

∴ 27x = 18x + 36

→ Subtract 18x from both sides

∴ 9x = 36

→ Divide both sides by 9

∴ x = 4

→ To find m∠JTS substitute x by 4 in its measure

∴ m∠JTS = 27(4) - 4 = 108 - 4

∴ m∠JTS = 104°

Answer:

75

Step-by-step explanation:

an arc is half a circle

Answer:

17=x

Step-by-step explanation:

In this case, we need to use Vertical Angles Theorem to solve this problem. Basically, because of the position of the angles, they are congruent.

68-x = 3x

Add x to both sides

68=4x

Divide by 4

17=x

Hope this helps!

Answer:

The value of 'x' is: 17°

Step-by-step explanation:

From what is being shown, there are two angles that are given:

(68 - x)°

3x°

Since they are congruent angles, meaning they are equal to each other, they will be put into a(n) equation such like shown below:

(68 - x)° = 3x°

(Then remove the parenthesis)

68° - x° = 3x°

     + x°=+3x°

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

68° = 4x°

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

(Divide both sides by 4)

[tex]\frac{68}{4} = \frac{4x}{4}[/tex]

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

17° = x

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

Your value of 'x' is 17.

Answer:

Okay, here's the method I'm going to use.

If you drive north 6 miles, and then drive east 19 miles, you are technically making a triangle.

                    19 miles

           l_______________

6 milesl

           l

You are just missing the last side of the triangle: the straight line stretching from across your starting point to the ending point. You can find this by using the Pythagorean theorem.

a^2 + b^2 = c^2

6^2 + 19^2 = c^2

36 + 361 = c

397 = c

[tex]\sqrt{397}[/tex] = 19.924859

Rounded to the nearest tenth, your answer is

19.9 miles

Answer:

Option C and D

Step-by-step explanation:

2π/3 refers 120°which falls in the second quadrant. In second quadrant sin  value is positive and tan & cos value is negative.

tan 120 = - tan 60 = -√3

So first we have to find equation form angles.

Statement :- The measure of the second angle of a triangle is 20 more than the measure of the first.

Equation :-

second angle = 20 + x

{ Remember people get's confused when to multiply and when to add. when ever there "more than" then we will add and when there is ,"times" we will multiply}

Statement :-

the third angle is 10 less than three times the first

Now just see first less means we have to subtract 10 from 3 times the first means 3 × first angle.

Equation :-

third angle = 3x - 10

Now let's represent :-

We know sum of angles of triangle is equal to 180°

So :-

Measure of angles :-

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Let the first angle be x

According to the question,

[ 2nd angle is 20 more than the first angle ]

[ 3rd angle is 10 less than thrice times the first angle ]

By using Angle sum property

That is,

[tex]\sf{ x + ( x + 20) + ( 3x - 10) = 180{\degree}}[/tex]

[tex]\sf{ x + x + 20 + 3x - 10 = 180{\degree}}[/tex]

[tex]\sf{ 5x + 10 = 180{\degree}}[/tex]

[tex]\sf{ 5x = 180 - 10}[/tex]

[tex]\sf{ 5x = 170}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{ 170}{5}}}[/tex]

[tex]\sf{ x = }{\sf{\cancel{\dfrac{ 170}{5}}}}[/tex]

[tex]\bold{ x = 34{\degree}}[/tex]

Thus,

Hence, The three angles of the given triangle are 34° , 54° and 92°

[tex]\bold{\huge{\underline{ Verification }}}[/tex]

Here, we have

By using Angle sum property :-

[tex]\sf{ 34 + 54 + 92 = 180{\degree}}[/tex]

[tex]\sf{ 88 + 92 = 180{\degree}}[/tex]

[tex]\sf{ 180 = 180{\degree}}[/tex]

[tex]\bold{ LHS = RHS }[/tex]

Hence, Verified

Answer:

The rate of change is 0.75 gallons per minute

Step-by-step explanation:

The rate of change of the linear relation is represented by the slope of the line which represents this relation

The rule of the slope of a line is

m = Δy/Δx, where

From the given graph

∵ The line passes through points (0, 0) and (4, 3)

∴ Δx = 4 - 0 = 4

∴ Δy = 3 - 0 = 3

→ Use the rule of the slope above to find the slope of the line

∴ m = [tex]\frac{3}{4}[/tex] = 0.75

∵ The x-axis represents the time in minutes

∵ The y-axis represents the amount in gallons

∵ m represents the rate of change

∴ The rate of change = 0.75 gallons per minute

Answer:

Step-by-step explanation:

y-y1 = m (x-x1), where (x1,y1) is the point the line passes through and m is the slope

y-(-1) = 2 (x-3)

y+1 = 2x - 6

Answer:

where's the question?

Step-by-step explanation:

carry on laern

Rate = distance / time

Rate = 21 miles / 3 hours

Rate = 7 miles / hour

The answer is choice A. Hope this helps.

Answer:

x = 33°

explanation:

The interior angles sum up to 180°

solve:

x + 20° + 4x - 5° = 180°

x + 4x + 20° - 5° = 180°

5x + 15° = 180°

5x = 180° - 15°

5x = 165°

x = 33°

Answer:

x = 33

Step-by-step explanation:

Sum of consecutive interior angles = 180°

⇒ (x + 20) + (4x - 5) = 180

⇒ 5x + 15 = 180

⇒ 5x = 165

⇒ x = 33

Answer:

111

Step-by-step explanation:

180-161=19

19+50=69

180-69=111

Answer:

x=111°..............

Step-by-step explanation:

Find the slopes of the lines and compare. The lines intersect if slopes are different.

Slopes are

Slopes are same, lines are parallel

Slopes are

Lines intersect as slopes are different

Slopes must not be equal to get intersection

#1

For first line

For second

No,Parallel

#2

First

Second

Yes, Intersect

Answer:

8+2g

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

5, 8, 9, 9, 9, 10

(9+9)/2=9

Answer:

3n

5,10,8,9,9,9

= 5 , 1 , 0

5-1=4 - 1 3

hope this helps! sorry if it didnt

Answer: x= 4/3 but in decimal form =1.333

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4-(2*(3*x-2))=0

4 -  2 • (3x - 2)  = 0

Pull out like factors :

  8 - 6x  =   -2 • (3x - 4)  

Solve  :    3x-4 = 0  

Add  4  to both sides of the equation :  

                     3x = 4

Divide both sides of the equation by 3:

                    x = 4/3 = 1.333

Answer:

x= undefined

Step-by-step explanation:

In order to make u understand , if u multiply 2(3x-2) it becomes 6x-4 which is the exact same as the left hand side . Therefore u cant find x from here in this manner .

For this however we can try the method bellow .

Lets say f(x)=y=6x-4=2(3x-2)

we can get the followig points for inserting domains and finind the domains . we can make graph for each . (We will not do them however)

As we have seen that both of those parts of the equation are one and the same so they will produce the exact same Line or curve .

Therefore every signle points on them r the same exact points and there fore they are the same exact line .

So the value of x is undefined and can be anything between every points on that line (Which can be infinit amounts of points) .

Answer:

No.

Step-by-step explanation:

1/4 is equivalent to 2/8, but not with 1/8.

Answer:

No.

Step-by-step explanation:

To find equivalent fractions, multiply the numerator and denominator by the same number.

Start with 1/4.

Multiply the numerator and denominator by 2.

You get 2/8.

2/8 is an equivalent fraction to 1/4.

2/8 and 1/8 are not equivalent.

Answer: No.

The length of a rectangle is 5 more than twice the width. If the perimeter of the rectangle is 34 cm find the length?

In this question we are provided with the perimeter of the rectangle = 34 cm and it is given that the length of the rectangle is 5 more than the twice it's breadth and asked to find out the length of the rectangle.

[tex] \small \orange{ \underline{\rm \blue{length \: of \: a \: rectangle \: is \: 5 \: more \: than \: twice \: the \: width.}}}[/tex]

Let us assume breadth as x then length = 2x +5

We know,

[tex] \star \: \large\boxed{ \rm{ Perimeter_{(rectangle)} = 2(length + breadth)}}[/tex]

Substituting the values we get

34 = 2(2x +5 + x)

→ 34 = 2(3x + 5)

→ 34 = 6x + 10

→ 34 - 10 = 6x

→ 24 = 6x

→ [tex]\dfrac{24}{6}[/tex] = x

x = 4

Length = 2x + 5 = 2 × 4 + 5 = 8 + 5 = 13 cm

Breadth = x = 4cm

Length = 13 cm.

Answer:

[tex]\mathsf{\cos T=\dfrac{28}{53}}[/tex]

Step-by-step explanation:

[tex]\mathsf{\cos(\theta)=\dfrac{adjacent\ side}{hypotenuse}}[/tex]

[tex]\implies \mathsf{\cos T=\dfrac{28}{53}}[/tex]

Answer: 3/4 of a mile

Step-by-step explanation:

Answer: 2+(-3/5) = 1.4

Step-by-step explanation: Remember work what is in the parentheses first!

Simplify the expression.

Exact Form: 7/4

Decimal Form: 1.4

Mixed Number Form: 1 2/5

Answer:

[tex]\frac{7}{5}[/tex]

Step-by-step explanation:

Equation: [tex]2-\frac{3}{5}[/tex]

1). Convert to fraction: [tex]\frac{2*5}{5}-\frac{3}{5}[/tex]

2). Same denominators = combine fractions

[tex]\frac{(2*5)-3}{5}=\frac{7}{5}[/tex]

Answer:

1000 tiles required.

explanation:

Tiles dimension:

Floor dimension:

Area of floor:

Length * Width

50 * 40

2000 m²

Area of each tile:

Length * Width

1 * 2

2 m²

Number of tiles required = Area of floor ÷ Area of each tile

→ tiles = 2000/2

→ tiles = 1000

See below.

1000

area of rectangle = width x length

Given: width of floor = 40 m length of floor = 50 m ⇒ area of floor = 40 x 50 = 2000 m²

width of tile = 1 m length of tile = 2 m ⇒ area of tile = 1 x 2 = 2 m² Number of tiles needed = area of floor ÷ area of one tile                                        = 2000 ÷ 2                                        = 1000

I tried.

Area of triangle = 1/2 x base x height

Area of the triangle = 1/2 x 22 x 18 = 198 square m.

Area of semi circle = 1/2 x PI x r^2

Area of semi circle = 1/2 x 3.14 x 11^2 = 189.97 square m.

Total area = 198 + 189.97 = 387.97 square m.

Round up to 388 square m.

Answer:

d multiplication ‌ ‌ ‌ ‌ ‌

Answer:

x= -10

if u need explanation pls let me know