Point S lies between points R and T on Line segment R T. A line contains points R, S, T. The space between R and S is 2 x. The space between S and T is 3 x. If RT is 10 centimeters long, what is ST?

Answer:

10. D. 1 / 216

11. B. - ( 8^0 )

Step-by-step explanation:

10.

6^5 x 6^-8

= 6^( 5 - 8 )

= 6^-3

= 1 / 6^3

= 1 / 216

11.

- ( 8^0 )

= - 1

- 1 < 0

Answer:

B

Step-by-step explanation:

The terminal point for 4π/3 in the form of a cartesian coordinate will be (-1/2, -√3/2). Then the correct option is B.

The polar coordinate system in geometry is a two-dimensional latitude and longitude that uses the distance from a reference point and the angle from an optical axis are used to identify each point's location on a plane. This polar axis is the ray emanating from the pole in the direction of the point of comparison, which is referred to as the pole.

The cartesian coordinate is (x, y) and polar coordinate is (r, θ). Then the relation is given as,

x = r cos θ

y = r sin θ

The angle is 4π/3. Then the cartesian coordinate for a unit radius will be given as,

x = 1 × cos (4π/3)

x = - 1/2

y = 1 × sin (4π/3)

y = - √3 / 2

The terminal point for 4π/3 in the form of a cartesian coordinate will be (-1/2, -√3/2). Then the correct option is B.

More about the polar coordinate to a cartesian coordinate link is given below.

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Answer:

h = 7 inches

Step-by-step explanation:

Answer:

(B) 44 miles per hour

Step-by-step explanation:

We are given that

Speed, v1=50 miles/hr

Time, t1=7 hours

Average speed, v2=40 miles/hr

We have to find the average  speed per hour for the  round trip .

Distance traveled by automobile from one side

d1=[tex]v_1t=50\times 7=350[/tex]miles

d1=d2=350 miles

Total distance=d1+d2=350+350=700 miles

Now,

[tex]t2=\frac{d_2}{v_2}=\frac{350}{40}=8.75 hour[/tex]

Total time=t1+t2=7+8.75=15.75 hours

Now, average speed for the round tripe

=[tex]\frac{total\;distance}{total\;time}[/tex]

=[tex]\frac{700}{15.75}=44.4\approx 44[/tex]miles/hr

Hence, option (B) is correct.

Answer: [tex]25\ mph[/tex]

Step-by-step explanation:

Given

Jane took 3 hours

First she rode 48 miles with let say with [tex]x[/tex] mph

then she rode 15 miles with speed [tex](x+5)[/tex] mph

Equate the time in each ride and equate it to total time

[tex]\Rightarrow 3=\dfrac{48}{x}+\dfrac{15}{x+5}\\\\\Rightarrow 3x(x+5)=48(x+5)+15x\\\\\Rightarrow 3x^2+15x=48x+48\times 5+15x\\\\\Rightarrow 3x^2-48x-240=0\\\\\Rightarrow (x-20)(x+4)=0\\\\\text{Neglecting the negative value as speed cannot be negative}\\\\\Rightarrow x=20\ mph[/tex]

So, her along the summit is [tex]x+5=25\ mph[/tex]

Answer:

1/12

Step-by-step explanation:

Mathematically, when a coin is flipped, we either get a head or a tail

These are equal probabilities of 1/2 each

So to show heads, we have a probability of 1/2

In a standard cube, there are 6 numbers (1-6)

now, we have only 1 one

the probability of it showing up would be 1/6

So the probability of both occurring would be the product

So we have this as;

1/6 * 1/2 = 1/12

Answer:

12

Step-by-step explanation:

Ella has two 8 feet long boards, so in total, she has 16 feet of the boards.

Convert these 16 feet to inches. There are 12 inches in a foot, so multiply 16 by 12:

16(12)

= 192

So, there are 192 inches in the boards. Divide this by 15 to see how many 15 inch pieces she can cut:

192/15

= 12.8

We can only have a whole number answer, because the boards need to be a full 15 inches. So, round this down:

= 12

Ella can cut twelve 15 inch pieces.

Answer:

42-15=4x+5x

27=9x

27/9=x

x=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

{ 2/3 x+y=6

+

{ -2/3x-y=2

= 0=6

Hence,no solution.

Answer:    The answer is letter A.  0.1s...... I think

-16t^2 + 50t + 3.5= 0

Step-by-step explanation:  The answer is either letter A or letter B

Question

Use the vertical motion formula h=-16 t^{2}+v t+ch=−16t  

2

+vt+c. A soccer ball is kicked with a starting upward velocity of 50 ft/s from a starting height of 3.5 ft. Substitute the values into the vertical motion formula Let h = 0.

Explanation

Step 1

1 of 2

The starting velocity is 50 ft/s ,when the ball is 3.5 ft high

So, v=50v=50 , h=3.5h=3.5 , t=0t=0

\begin{align*} h&=-16t^2+vt+c &&\text{{\color{#c34632}The vertical motion formula}}\\\\ 3.5&=-16(0)^2+50(0)+c &&\text{{\color{#c34632}Substitute 3.5 for $h$ , 50 for $v$ , 0 for $t$}}\\\\ c&=3.5 &&\text{{\color{#c34632}Simplify}}\\\\ \end{align*}

h

3.5

c

​

=−16t  

2

+vt+c

=−16(0)  

2

+50(0)+c

=3.5

​

​

The vertical motion formula

Substitute 3.5 for h , 50 for v , 0 for t

Simplify

​

So, the vertical motion formula will be

h= -16t^2 + 50t + 3.5

Let h= 0

                                     -16t^2 + 50t + 3.5= 0

Answer:



Step-by-step explanation:

Answer:

Ellipse

[tex]✔ \: \: : { \sf{ {x}^{2} + {y}^{2} = 1 }}[/tex]

Step-by-step explanation:

[tex]{ \sf{circle : \: {x}^{2} + {y}^{2} + 2gx + 2fy + c = 0}} \\ { \sf{parabola : \: {y}^{2} = 4ax }} \\ { \sf{hyperbola : \: {x}^{2} - {y}^{2} = 1 }}[/tex]

Answer:

6 ≈ 27.78C

7 = 219.2F

8 = 20C

9 = 116.6F

Step-by-step explanation:

6. From the formula C/5 = (F-32)/9

     We get C/5 = (82-32)/9

     C = (50/9)*5

     C ≈ 27.78

7. From the formula C/5 = (F-32)/9

     We get 104/5 = (F-32)/9

     F-32 = 104/5 * 9

     F-32 = 187.2

     F = 219.2

8. From the formula C/5 = (F-32)/9

    We get C/5 = (68-32)/9

     C/5 = 36/9

     C/5 = 4

     C = 5 * 4

     C = 20

9. From the formula C/5 = (F-32)/9

    We get C/5 = (F-32)/9

     47/5 = (F-32)/9

     (47/5)*9 = (F-32)

     84.6 = F-32

     F = 84.6 + 32

     F = 116.6

Formula Used

Temperture Conversion

C/5 = (F-32)/9 = R/4 = (K-273)/5

C - Celcius, F - Fahrenheit, R - Rankine, K - Kelvin

Note

Please use the correct subject next time

6) 82°F to C°

Formula

(82°F − 32) × 5/9 = 27.78°C

82°F=27.78°C

7) 10°C to °F

Formula

(104°C × 9/5) + 32 =219.2°F

104°C =219.2°F

8) 68°F to C°

Formula

(68°F − 32) × 5/9 = 20°C

68°F=20°C

9) 47°C to °F

Formula

(47°C × 9/5) + 32 = 116.6°F

47°C =116.6°F

Answer:

2 and 5 is the gcf and lcm is 360

Step-by-step explanation:

Answer:

GCF is 120 and LCM is 1440

Step-by-step explanation:

-To find the GCF, take a look at the orange section(the intersection) and multiply all the numbers in there. 2^3x3x5=120

-To find the LCM, multiply all the numbers in the entire venn diagram. 2^5x3^2x5=1440

Answer:

She's, "HOT"!

Step-by-step explanation:

Answer:

Me need my points :D                    

Step-by-step explanation:

Answer:

[tex]\sqrt{203}[/tex]

Step-by-step explanation:

1. [tex]11^{2} + b^{2} = 18^{2}[/tex]

2. [tex]b^{2} =203[/tex]

3. b = [tex]\sqrt{203}[/tex]

Can't be simplified.

Answer 16

Step-by-step explanation:

Answer:

[tex]12.2\text{ ft}[/tex]

Step-by-step explanation:

In any right triangles, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared ([tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side).

In this case, the length we're solving for is the hypotenuse of the triangle and the two legs of the triangle are 7 and 10. Therefore, we have:

[tex]7^2+10^2=c^2,\\49+100=c^2,\\c^2=149,\\c=\sqrt{149},\\c\approx \boxed{12.2\text{ ft}}[/tex]

The result shows that Brittany is faster than Natalie because she moved faster than her. Therefore, Brittany is (43.64 - 21.5) = 22.14mph faster than Natalie.

The average speed can be calculated by dividing the distance moved by the time taken. That is;

Average speed = Distance/time

According to this question, Brittany and Natalie start cycling together from their home to school, which is 14.4 miles away.

However, Natalie takes 40 minutes to reach school and Brittany reaches 20 minutes after Natalie.

First, we calculate the average speed of each individual as follows:

This shows that Brittany is faster than Natalie because she moved faster than her. Therefore, Brittany is (43.64 - 21.5) = 22.14mph.

Learn more about average speed at: https://brainly.com/question/12322912

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Step-by-step explanation:

E = mc^2

E is Energy

M is Mass

C is Speed of light

This is Albert Einstein's General theory of relativity.

According to The principle of homogeneity,

E = mc^2 is dimensionally correct.

Answer:

hi?

Step-by-step explanation:

i think B is the right answer

Answer:

The answer is correct

Step-by-step explanation:

3(x + 4) + 2 = 2 + 5(x – 4)

3x + 12 + 2 = 2 + 5x - 20

3x + 14 = 5x - 18

-2x = -32

x = 16

Answer:

Give some examples of source documents.

➢  Define an account. What are the two  forms of account posting illustrated in the chapter?➢  What is meant by the term double-entry procedure, or duality?

➢  Describe how you would determine the balance of a T-account.

➢  Define debit and credit.

➢  Do you think this double entry accounting system makes sense? Can you conceive of other possible methods for recording changes in accounts?

➢  Which of the steps in the accounting cycle are performed throughout the accounting period?

➢  What is the purpose of the Dividends account and how is it increased?

Answer:

3m -5

Step-by-step explanation:

3(m - 3) + 4

Distribute

3m -9 +4

Combine like terms

3m -5

Answer:

3m - 5

Step-by-step explanation:

3(m - 3) + 4

3m - 9 + 4

3m - 5

Answer:

A. x = 11√3

B. y = 11

Step-by-step explanation:

A. Determination of the value of x.

Angle θ = 60°

Hypothenus = 22

Opposite = x =?

We can obtain the value of x by using sine ratio as illustrated below:

Sine θ = Opposite / Hypothenus

Sine 60 = x / 22

√3/2 = x / 22

Cross multiply

2 * x = 22√3

Divide both side by 2

x = (22√3) / 2

x = 11√3

B. Determination of the value of y.

Angle θ = 60°

Hypothenus = 22

Adjacent = y =?

We can obtain the value of y by using cosine ratio as illustrated below:

Cos θ = Adjacent / Hypothenus

Cos 60 = y / 22

½ = y / 22

Cross multiply

y = ½ × 22

y = 11

This should be the answer

9514 1404 393

Answer:

  a) (1.75 +1.00d)/4 < (3.50 +1.50d)/5

  b) 3.70

Step-by-step explanation:

a) You want ...

   classic cost < XL cost

Using the given expressions for the costs, the inequality is ...

  (1.75 +1.00d)/4 < (3.50 +1.50d)/5

__

b) For a 10-mile ride, the XL cost is ...

  (3.50 +1.50(10))/5 = (3.50 +15.00)/5 = 18.50/5 = 3.70

Each passenger in a group of 5 friends pays $3.70 for the 10-mile ride.

_____

Additional comment

Each expression can be divided out to give ...

  classic cost per person = $0.4375 +0.25d

  XL cost per person = $0.70 +0.30d

Comparing these, we see there is no positive value of d that will make the XL cost per person be less than the classic cost per person. Both the initial fee and the per-mile cost are lower for the classic.

Answer:

52%

7 more

Step-by-step explanation:

There are 5*5 = 25 boxes in the grid

13 are shaded

13/25 = 13/25 *4/4 = 52/100 = 52% are shaded

We want 80% shaded

80/100

Divide top and bottom by 4

20/25

We need 20 shaded and have 13 shaded

20-13 = 7

We need to shaded 7 more