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3 years ago

Mm = milllimeters

Mathematics

1 answer:

Korolek [52]3 years ago

6 0

1) The independent variable is the x axis, which represents the time that has passed since the flowers began to be observed.
2) The range of the dependent variable height, the y axis, is 5mm to 30mm in this function. The lines are connected, so the relationship contains all variables in this range.
3) The independents variable is increasing with the dependent variable, so the graph shows a direct relationship where the marigold grows as time passes.

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A 20.3 kg person climbs up a uniform ladder with negligible mass. The upper end of the ladder rests on a frictionless wall. The

VMariaS [17]

Answer:

Q = arctan(7.1739) = 82.06

Step-by-step explanation:

Given:

- The mass of the person m = 20.3 kg

- The distance traveled up the ladder s = 1.1 m

- The gravitational constant g = 9.8 m/s^2

- The coefficient of static friction u_s = 0.23

- Total length of the ladder

Find:

The minimum angle θ, that would allow the person to climb without ladder slipping

Solution:

- Taking moments about point of ladder and wall contact A to be zero:

-F_n,b*cos(Q)*4 - F_f*sin(Q)*4+ m*g*cos(Q)*2.6 = 0

- Taking Sum of vertical forces to be zero:

F_n,b - m*g = 0

F_n,b = m*g

- The frictional force F_f is given by:

F_f = u_s*F_n,b = u_s*m*g

- Plug the values back in:

- m*g*cos(Q)*4 + u_s*m*g*sin(Q)*4 - m*g*cos(Q)*2.6 = 0

Simplify:

4*cos(Q) + 2.6*cos(Q) = u_s*4*sin(Q)

6.6*cos(Q) = 4*u_s*sin(Q)

tan(Q) = 6.6 / 4*u_s

- Plug in the values:

tan(Q) = 6.6 / 4*0.23

Q = arctan(7.1739) = 82.06

4 0

4 years ago

Benjamín made 3 times more than Alberto and Carlota 2 times more than Benjamín, so how much is it, help me

vichka [17]

Step-by-step explanation:

you are "hiding" some more information (like how much they made together).

without that we cannot calculate the actual values.

all I can do is set up the equations expressing the given relations between the parts of the total :

a = amount Alberto made

b = amount Benjamin made

c = amount Carlota made

b = 3×a

c = 2×b = 2× 3×a = 6×a

that's it.

your see ? now we need something that "ties" all 3 together, an equation of all 3 variables, where we can use the first 2 equations (by substitution) and then solve for the remaining third variable.

and that is missing.

if it is something like "together they made x", then we would have

a + b + c = x

a + 3a + 6a = x

10a = x

a = x/10

b and c we get then from the first 2 equations by simply using the calculated value of a :

b = 3×(x/10) = 3x/10

c = 6×(x/10) = 6x/10 = 3x/5

7 0

2 years ago

Enter an algebraic equation for the sentence the difference between eight times a number and 2 is 30

kari74 [83]

8x - 2 = 30
_______________

6 0

4 years ago

Frankie scores a 70% on her math test. The test had 20 questions. How many questions did she get correct?

ipn [44]

Answer:

14 questions correct

Step-by-step explanation:

x/20 *100 = 70

so x/ 20 = 70/100(0.7)

x/20 = 0.7

x = 0.7*20

x =14

3 0

3 years ago

Read 2 more answers

In the diagram, what is the measure of WRS?<br> O 5°<br> O 7.5°<br> O 25°<br> O 37.5°

Valentin [98]

Answer : The measure of ∠WRS is 25°.

Step-by-step explanation :

As we know that vertically opposite angles are always equal.

In the given figure,

∠VRT = ∠WRS = (5x)° (Vertically opposite angles)

And we know that the sum of all angle in a straight line is equal to 180°.

So,

∠TSR + ∠WRS = 180°

Given: ∠TSR = (25x + 30)°

∠TSR + ∠WRS = 180°

(25x + 30)° + (5x)° = 180°

30x + 30° = 180°

30x = 180° - 30°

30x = 150°

x = 5°

∠WRS = (5x)° = (5 × 5)° = 25°

Therefore, the measure of ∠WRS is 25°.

4 0

3 years ago

Read 2 more answers