You are standing on a dock that is 8 feet above the surface of a lake. You jump in the lake and touch the bottom, which is 10 feet below the surface of the water. What is the total distance that you have traveled?

Answer:

m<TQS=23

Step-by-step explanation:

(3x-5)+(x+1)

4x-4=180

   +      +

4x=184

---    ----

4       4

x= 46

46/2

=23

If a ray QT bisects <RQS, then [tex]m<TQS=23.5[/tex] °

Given :

a ray QT bisects <RQS

<PQR and <RQS is a linear pair . It makes and angle 180 degree

[tex]m<PQR+m<RQS=180[/tex]

From the diagram,

m<PQR=3x-5, and m<RQS=x+1

Substitute the expression and solve for x

[tex]m<PQR+m<RQS=180\\3x-5+x+1=180\\4x-4=180\\4x=180+4\\4x=184\\Divide \; by \; 4\\x=46[/tex]

now ,  [tex]m<RQS = x+1 =46+1=47[/tex]

Given  QT bisects <RQS. it means QT divides RQS equally

[tex]m<TQS= \frac{m<RQS}{2} \\m<TQS= \frac{47}{2} \\\\m<TQS=23.5[/tex]

Learn more : brainly.com/question/16926292

[tex]\\ \sf\longmapsto \dfrac{BQ}{DQ}=\dfrac{RC}{CD}[/tex]

[tex]\\ \sf\longmapsto \dfrac{26}{39}=\dfrac{18}{x}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}=\dfrac{18}{x}[/tex]

[tex]\\ \sf\longmapsto 2x=54[/tex]

[tex]\\ \sf\longmapsto x=27[/tex]

Answer:

Your answer is: A) k = -3

Step-by-step explanation:

Hope this helped : )

Calculate the area of the floor:

Area = 1.6 x 2.3 = 3.68 square meters

Using the given formula: Pressure = force/area

200 = force / 3.68

Solve for force by multiplying both sides by 3.68

Force = 200 x 3.68

Force = 736 N/m^2

Correct to the nearest 5N/m^2 = 735 N/m^2

First of all we need to calculate the area of the floor and then we will find the pressure using the formula for pressure...

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

Area of floor ↯

[tex] \sf \: area = length \times breadth[/tex]

[tex] \sf \: area = 1.6 \times 2.3[/tex]

[tex] \sf \: area = 3.68 \: {m}^{2} [/tex]

[tex]\purple{ \rule{300pt}{3pt}}[/tex]

Finding force ↯

[tex] \tt \: pressure = \frac{force}{area} [/tex]

[tex] \tt \: 200 = \frac{force}{3.68} [/tex]

[tex] \tt \: force = 200 \times 3.68[/tex]

[tex] \tt \: force = 736 \: newton[/tex]

Thus, The maximum force is 736 Newton...~

The point (5, 290) denoted that the jaguar has run a distance of 290 feet in 5 seconds.

Jaguar speed is 58 feet per second.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

Each point on the graph denotes the speed of the jaguar.

Point (5, 290) denotes that in 5 seconds the jaguar has run 290 feet.

The speed of the jaguar.

= Distance / Time

= 290/5

= 58 feet

Thus,

The speed of the jaguar is 58 feet per second.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

Answer:

41 minutes

Step-by-step explanation:

it is 41 minutes

Answer:

[tex]y\leq \dfrac12x+3[/tex]

Step-by-step explanation:

Choose 2 points on the line:  (-6, 0) and (0, 3)

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-3}{-6-0}=\dfrac12[/tex]

point-slope form of linear equation:  [tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-0=\dfrac12(x-(-6))[/tex]

[tex]\implies \sf y=\dfrac12x+3[/tex]

Solid line : ≤ or ≥

Dashed line: < or >

Therefore as the line is solid, and the shading is below the line,

[tex]\implies \sf y\leq \dfrac12x+3[/tex]

Slope:-

[tex]\\ \tt\Rrightarrow m=\dfrac{4-3}{2}=1/2[/tex]

Equation of line in point slope form

[tex]\\ \tt\Rrightarrow y-3=1/2x[/tex]

[tex]\\ \tt\Rrightarrow y=1/2x+3[/tex]

Equation of shaded region

[tex]\\ \tt\Rrightarrow y\leqslant 1/2x+3[/tex]

Let's solve for x

9(2x+1) < 9x - 18

18x+9 < 9x-18

18x-9x < -18-9

9x < -27

x < -27/9

x < -3

Any value smaller than -3 is in the solution set

That means we have {-4, -5, -6, ...} as our solution set if x was only allowed to be an integer.

We can rule out choices B through D because of this. Only choice A remains, which I'm assuming you meant to say -4 instead of simply 4. If choice A says -4, then this is the answer.

If it doesn't say -4, then that isn't the answer and none of the answer choices work.

Note: if your original inequality is [tex]9(2x+1) \le 9x-18[/tex] then it solves to [tex]x \le -3[/tex] allowing x = -3 to be part of the solution set now. If you have an "or equal to" then that means B) -3 is the answer.

It seems like there might be a typo somewhere so I would double check.

Answer:

A

[tex]\boxed{a=\frac{9}{2}}}[/tex]

[tex]\boxed{b=\frac{15}{2}}[/tex]

Step-by-step explanation:

By ratio and proportion

Let's solve for "a" first:-

[tex]\cfrac{a}{6} =\cfrac{6}{8}[/tex]

[tex]8a=36[/tex]

[tex]\cfrac{8a}{8}=\cfrac{36}{8}[/tex]

[tex]\boxed{a=\frac{9}{2}}}[/tex]

Now, Let's solve for "b":-

[tex]\cfrac{b}{6} =\cfrac{10}{8}[/tex]

[tex]8b=60[/tex]

[tex]\cfrac{8b}{8}=\cfrac{60}{8}[/tex]

[tex]\boxed{b=\frac{15}{2}}[/tex]

Therefore, your answer is A!!!!

~

Answer:

192m

Step-by-step explanation:

6m x 4m x 8m = 192m

Answer:A

Step-by-step explanation:

270/630 x 100= 43

answer: A

Step-by-step explanation:

270/630x100 =45

Answer:

-16

Step-by-step explanation:

(n+1) 2 n=-9

Step 1 Plug in -9 for n:    (-9+1)x 2

Step 2 Add -9 and 1:      -8x2

Step 3 Multiply -8 and 2:  -16

Answer:

5894

Step-by-step explanation:

1  mile is 1760

so multiply 1760 by 3.4

Answer:  x = 5

Step-by-step explanation:

(3x + 22) and (3x + 128) are supplementary angles, which means that they add up to 180, so we can write our equation.

(3x + 22) + (3x + 128) = 180

   3x + 22 + 3x + 128 = 180

                   6x + 150 = 180

                             6x = 30

                                x = 5

Answer:

21

Step-by-step explanation:

30 - 9 +3

30 - 12

18

18 - 12=4

      12/4 = -3

18 - -3

21

the answer is 21

30 - 9 = 21
21 + 3 = 24
12 divided by 4 = 3
24 - 3 = 21


21 is the answer once again

Answer:13/15

Step-by-step explanation:

Add 7/9 and 2/3 the answer is 13/9 then divide it by 5/3 in order for you to divide get the reciprocal of 5/3 which is 3/5 then multiply it and you well get 13/15

Answer:

13/15

Step-by-step explanation:

The answer is 13/15 because:

1) In order to figure out what 7/9 + 2/3 is, we need to find the common denominator. The common denominator is 9 because 3 contains the factor 9.

7/9 + 6/9 = 13/9

We need to multiply the denominator to get to 9: 3 x 3 = 9. We have to multiply the numerator as well: 2 x 3 = 6.

2) Next, we have to divide 13/9 and 5/3. In order to divide we have to find the reciprocal of the second number. Reciprocal means to flip the fraction. The reciprocal of 5/3 is 3/5.

3) Finally, we just have to multiply 13/9 and 3/5 which is 39/45. 39/45 in simplest form is 13/15.

Hope this helps! :D

Answer:

18

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:  Stephano's marble will reach the mark sooner.

Answer:

1.) 78

2.) 162

Step-by-step explanation:

you just multiply the number outside of the parentheses by the one inside them lol

Answer:

A Monomial

A single term algebraic expression is called:

Constant term

Step-by-step explanation:

A term of an algebraic expression that has a fixed numerical value in all situations and does not have any variable is called the constant term of an algebraic expression.

Example:
The algebraic expression 5x + 2y + xy + 10, 10 is the constant term of the expression.


Have a great rest of your day
#TheWizzer

Single term algebraic expression is called ''Monomial''.

The monomial is a product of powers of variable with non negative integer exponent. It is the algebraic expression with single term.

Given that;

Single term in algebraic expression.

Now,

Since, We know that;

The algebraic expression with single term is called ''Monomial''.

And, The algebraic expression with double term is called ''Binomial''.

Thus, Single term algebraic expression is called ''Monomial''.

Learn more about the monomial visit:

https://brainly.com/question/16630519

#SPJ2

Answer: 50 right?

Step-by-step explanation:

Answer:

30 plus 20

Step-by-step explanation:

or 15 35

25 25

or 0 59

Answer:

x>2

Step-by-step explanation:

2x-3+x>x+1

3x-3>x+1

2x>4

x>2

Answer:

(a)  [tex]\theta=\tan^{-1}(-0.890)[/tex]

[tex]\implies \theta=-41.66908262 \pm 180 \textdegree n[/tex]

[tex]\implies \theta=138.3309174..., 318.3309174...[/tex]

[tex]\implies \theta=138\textdegree, 318\textdegree[/tex]

(b)  [tex]\theta=\cos^{-1}\left(\dfrac{\sqrt{3} }{2}\right)[/tex]

[tex]\implies \theta=30 \textdegree \pm360 \textdegree n, 330 \textdegree \pm360 \textdegree n[/tex]

[tex]\implies \theta=30 \textdegree , 330 \textdegree[/tex]

(c)  [tex]\theta=\sin^{-1}\left(\dfrac{1 }{2}\right)[/tex]

[tex]\implies \theta=30 \textdegree \pm360 \textdegree n, 150 \textdegree \pm360 \textdegree n[/tex]

[tex]\implies \theta=30 \textdegree , 150 \textdegree[/tex]

Answer:

You would start your graph at (1,7.5) (2, 15) (3, 22.5) (4, 30) (5, 37.5)  

Step-by-step explanation:

What you do is for every hour you add 7.50. I don' know how many hours you need to graph so I just gave you the first five, But you should start to see a pattern, just continue with the pattern and you will get it right! Hope this helps!

you're answer would be number 3

50% of 60 minutes is 30 minutes

0.50 * 60 = 30

10% of 60 minutes is 6 minutes

0.10 * 60 = 6

75% of 60 minutes is 45 minutes

0.75 * 60 = 45

the order is, 65% of 80, 170% of 30, 82% of 50

0.65 * 80 = 52

0.82 * 50 = 41

1.70 * 30 = 51

200,000 * 0.01x = 130,000

130,000/200,000 = 0.65

0.65/0.01 = 65

the plane used 65% of fuel capacity on this flight

Answer:

Step-by-step explanation:

1) 50% of 60 minutes is 30 minutes

2) 10% of 60 minutes is 6 minutes

3) 75% of 60 minutes is 45 minutes

4) 52%

5) 41%

6)51%

FINAL QUESTION:

260,000,000 fuel used

Last month the amount of rain that fell each day varied about the same as the month before is the right statement about the rainfall, Option c is correct.

The average distance between each data point and the mean is the mean absolute deviation of a dataset. It offers us an indication of how variable a dataset is.

The  given data in the problem is;

Two months ago,

The mean daily rainfall in a local city was 9. 4 cm.

The mean absolute deviation was 3. 5 cm

Last month

The mean daily rainfall in that city was 11. 5 cm

The mean absolute deviation was 1. 6 cm.

We can see that there was less variation last month than the month before since the mean absolute deviation is a measure of variance.

Hence Last month the amount of rain that fell each day varied about the same as the month before is the right statement about the rainfall, Option c is correct.

To learn more about the mean absolute deviation refer to the link;

https://brainly.com/question/10528201

Answer:

I think its $1,500

Step-by-step explanation:

6 times 750 = 4,500

4,500- 3,000= 1,500