Chapitre 6. Proportionnalité (12) Approfondissement
Exercice Ai:
Une salle d'escalade propose 3 tarifs
Entrées :
Lasten
Le carne de Marcel
Abonneerd
La
1. Représenter graphiquement le prix en
fonction du nombre de séances dans un
trimestre.
2. Lequel des trois tarifs est proportionnel au
nombre de séances
3. Pour un trimestre, quel tarif choisir pour 6
seances ! 10 stances / 16 séances ?
Exercice Az
Les deux graphiques ci-dessous représentent
respectivement la distance de reaction et la
distance de freinage sur route seche d'un
vehicule en fonction de sa vitesse.
Distance de redier en m
1.b. La distance de
reaction
est-elle
proportionnelle à la vitesse du véhicule ? justifier
la réponse.
3.a. Quelle est la distance de freinage sur route
séche lorsque le conducteur roule à 90 km/h?
.b.
distance de freinage est elle
proportionnelle à la vitesse duvthicule Justifier
la réponse
3.a. Quelle est la distance
d'arrêt sur route séche
d'un véhicule roulant 390
km/h?
3.b. Pensez-vous que la
distance d'arrêt sur route
séche solt proportionnelle
a la vitesse du véhicule ? Expliquer votre réponse.
Exercice AB
Un menuisier dolt fabriquer une table en chêne
massif formée d'un plateau de 1,20 m sur 4 met
d'épaisseur 10 cm. Celle-ci est posée sur quatre
pleds de section carrée, de coté 10 cm et de
hauteur 0,85 m.
Sachant que la masse volumique du chêne qu'il
utilise est de 850 kg/m), comblen pèsera cette
table?
Indication : on pensero a convertir toutes les
grandeurs dans la même unite.
Rappel : la masse volumique est le rapport entre la
mosse d'un objet et son volume.
10
to
ID
TO
&
160 170
Vesa au kuoleek
Vacare
La cantado
recettes &
Distance de treinago lan m
100
10
13
20
10
40
100 170 140
Vites de vehicle ten km/N
Vacan
lumat
to the now
1.a. Quelle est la distance de réaction lorsque le
conducteur roule à 90 km/h?​

Answer:

Step-by-step explanation:

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Answer:

= 0.2 pound per day

Step-by-step explanation:

This is a fraction equal to

1 pound ÷ 5 days

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 5

1 pound ÷ 5

5 days ÷ 5

=  

0.2 pound

1 day

=  

0.2 pound

day

= 0.2 pound per day

Answer:

D

Step-by-step explanation:

Sin(x)=25/35=5/7

=> x = 45.6

Answer:

25,300

Step-by-step explanation:

Its already rounded.

Equation/Question:

Solve for b. 3(b + -2)-8=-5 what is the answer?​

Answer/Steps to answer:

1.Simplify  b+-2 to b−2.

3(b−2)−8=−5

2. Add 8 to both sides.

3(b-2)=-5+8

3. Simplify  -5+8  to  3.

3(b-2)=3

4. Divide both sides by 3.

b-2=1

5. Add 2 to both sides.

b=1+2

6. Simplify  1+2 to 3.

b=3

Done by NeighborhoodDealer

Answer:

x = [tex]\frac{b-7}{a-2}[/tex]

Step-by-step explanation:

Given

ax + 7 = 2x + b ( subtract 2x from both sides )

ax - 2x + 7 = b ( subtract 7 from both sides )

ax - 2x = b - 7 ← factor out x from each term on the left side

x(a - 2) = b - 7 ← divide both sides by (a - 2)

x = [tex]\frac{b-7}{a-2}[/tex]

Given:

The two points on a coordinate plane are C(-5,-1) and D(0,3).

To find:

The distance between C and D.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between C(-5,-1) and D(0,3) is

[tex]CD=\sqrt{(0-(-5))^2+(3-(-1))^2}[/tex]

[tex]CD=\sqrt{(0+5)^2+(3+1)^2}[/tex]

[tex]CD=\sqrt{(5)^2+(4)^2}[/tex]

[tex]CD=\sqrt{25+16}[/tex]

On further simplification, we get

[tex]CD=\sqrt{41}[/tex]

[tex]CD=6.40312424[/tex]

[tex]CD\approx 6.40[/tex]

Therefore, the distance between C and D is 6.40 units.

you have to find a number they are both divisible by to get it to simplest form. 18:225.

divide both by 3. 6:75.

you can divide it by 3 again.

answer: 2:25

The ratio of two quantities can be obtained by writing them as a fraction. The ratio in the form of  1 : n is given as 225 / 18.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

Given that,

The number of staff in the school = 18

And, the number of students in the school = 225

Since, the ratio of two numbers a and b is given as a : b = a / b.

In the form of 1 : n it can be written as, a : b = 1 / (b / a).

Similarly, the ratio of staff and students n the form of 1 : n can be written as,

Staff : Students = 18 : 225

=> Staff : Students = 1 / (18 / 225)

=> Staff : Students = 225 / 18.

Hence, the ratio Staff : Students can be written in the form 1 : n as 225 / 18.

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Answer:

100000 olacak iyi dersler

Answer:

negative

1

4,6

Step-by-step explanation:

Answer:

A&C

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Answer:

C. 10/17

Step-by-step explanation:

10/17 is less than the correct answer 1.7 so it is C.

Answer:

See attached.

Step-by-step explanation:

The table is as shown

White paints {cups}   Red paints{cups}

4                                       3

2                                       1

1                                       0

5                                      4

5                                      4

The white paint mixes with the red paint is the ratio of 4 is to 3 in that every 4 cups of white paints is mixed with 3 cups of red paints.

Answer:

The operation is commutative

Step-by-step explanation:

Operations

The * operation is defined on the set of real numbers R by

[tex]a * b=a^3+b^3-3ab[/tex]

For the operation to be commutative a*b should be equal to b*a.

Computing b*a:

[tex]b * a=b^3+a^3-3ba[/tex]

Rearranging:

[tex]b * a=a^3+b^3-3ab[/tex]

It's apparent that a*b=b*a, thus the operation is commutative

Answer:

Hi! Your answer is m = 19

Step-by-step explanation:

~use the slope formula to find the average rate of change~

Answer:

What?

Step-by-step explanation:

Answer:

12 minutes

Step-by-step explanation:

Since he ran 2/3 of a mile in 8 minutes, by dividing both sides by two we can see that he ran 1/3 in 4 minutes. 1/3 x 3 = 1 mile. 4 x 3 = 12 minutes

Answer:

1 mile in 12 minutes

Step-by-step explanation:

2/3 mile in 8 minutes

divide by 2

1/3 mile = 4 minutes

multiply by 3

1 mile in 12 minutes

Answer:

40/140 ≈ 0,2857 corresponds 28,57%.

Answer:

1/3, 2/6, 3/9, 4/12..are equivalent fractions. Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get.

Step-by-step explanation:

The equivalent fractions of  the given fraction [tex]\dfrac{2}{6}[/tex] are [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex] .

The fractions which have the same value but can  have different numerators or denominators when either multiplying , dividing or converting it into the lowest form is called equivalent fractions

The upper part of a fraction or part of a whole is called numerator and the lower part of a fraction or the whole is called denominator.

Equivalent fraction can be obtained by multiplying  numerator and denominator with the same number .

Example : equivalent fraction of  [tex]\dfrac{5}{8}[/tex] is

[tex]\dfrac{5}{8} = \dfrac{5 \times 1 }{8 \times 1} =\dfrac{5\times2}{8\times2} ........=\dfrac{5}{8}[/tex]

According to the data provided in the problem

[tex]\dfrac{2}{6} = \dfrac{2 \times 1 }{6 \times 1} =\dfrac{2\times2}{6\times2} ........=\dfrac{2}{6}[/tex]

Thus the equivalent fractions of [tex]\dfrac{2}{6}[/tex] are  [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex]

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Answer:   y = f(x - 4) - 1, lower left corner

=============================================================

Explanation:

Let's focus on only the left-most points of each curve

For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)

To go from (-7,0) to (-3,-1), we will do two things

This can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.

In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.

The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.

Overall, we go from y = f(x) to y = f(x - 4) - 1

Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.

Answer:

Total surface area of the prism = 920 cm²

Step-by-step explanation:

Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.

Area of one triangular side = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

Area of 2 similar sides = Base × Height

                                     = 8 × 15

                                     = 120 cm²

Area of rectangular side with dimensions 17cm × 20cm

Area of the side = 17 × 20 = 340 cm²

Area of the second rectangular side with dimensions 8cm × 20cm

Area of the side = 8 × 20 = 160 cm²

Area of third rectangular side with dimensions 20cm × 15cm

Area of the side = 20 × 15 = 300 cm²

Total surface area of the given triangular prism = 120 + 340 + 160 + 300

                                                                               = 920 cm²

Answer:

every other term is negative, so it would be -64

Step-by-step explanation:

hope it helps!

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in right triangle ABC

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

AB² + AC² = BC² , substitute values

5² + AC² = 13²

25 + AC² = 169 ( subtract 25 from both sides )

AC² = 144 ( take the square root of both sides )

AC = [tex]\sqrt{144}[/tex] = 12

Since the triangles are congruent then corresponding sides are congruent, then

DE = AC = 12 inches → B

Answer:

=177

Step-by-step explanation:

The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (10³⁶ + 26/18)

The sum of the digits in the expansion is given as,

⇒ 1 + 0 + 2 + 6 + 1 + 8

⇒ 18

The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.

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Answer:

I dont know

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

You first multiply 4x1/3 which equals 4/3. Now you do -2/3+4/3=2/3. Hope this helps!

Answer:

2/3

Step-by-step explanation:

[tex]\frac{-2}{3}+4*\frac{1}{3}=\frac{-2}{3}+\frac{4}{3}\\\\=\frac{(-2) + 4}{3}\\\\\\= \frac{2}{3}[/tex]

Answer:

- 1

Step-by-step explanation:

[tex]\frac{1}{\cot ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cos \left(x\right)}=\sec \left(x\right),\\\frac{1}{\cot ^2\left(x\right)}-\sec ^2\left(x\right)\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cot \left(x\right)}=\tan \left(x\right),\\\tan ^2\left(x\right)-\sec ^2\left(x\right)\\\\=> \frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\[/tex]

[tex]=> \frac{\sin ^2\left(x\right)-1}{\cos ^2\left(x\right)}\\\\=> -\frac{\cos ^2\left(x\right)}{\cos ^2\left(x\right)}\\=> - 1[/tex]

Hope  that  helps!

By using trigonometric identities,  [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1

"Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain."

Given expression

[tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]

We know the trigonometric identity

[tex]{cot^{2}(x) } =( \frac{sinx}{cosx})^{2}[/tex]

= [tex]\frac{1}{(\frac{cosx}{sinx} )^{2} } -\frac{1}{cos^{2}(x) }[/tex]                    

= [tex]\frac{sin^{2} (x)}{cos^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]

= [tex]\frac{sin^{2}(x)-1}{cos^{2}x }[/tex]

= [tex]\frac{-(1- sin^{2}(x))}{cos^{2}x }[/tex]

We know the trigonometric identity

[tex]sin^{2}(x) +cos^{2}(x) = 1[/tex]

= [tex]\frac{-(cos^{2}x)}{cos^{2}x }[/tex]

= -1

Hence, [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1

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