The area (A) of a rectangle varies jointly as the length (l) and the width (w), and whose A = 60 sq. cm when l = 4 cm and w = 3 cm. What is the area of rectangle if the length is 6 cm and whose width is 3 cm? ​

Answer:

2029jjajvdjsjsvdghsjsjbs

Answer:

Answer:

Step-by-step explanation:

Thanks for free points!

Answer:

a. – 4 or –3

b. –4 or –2

c. 4 or –3

d. 7 or 4

Step-by-step explanation:

To factorize the above expression, multiply the first and last term together, then find two factors of the result such that their sum will result to the middle term of the expression.

Now, we shall give the answers to the question.

a. x² + 7x + 12 = 0

x² + 3x + 4x + 12 = 0

Factorise

x(x + 3) + 4(x + 3) = 0

(x + 4)(x + 3) = 0

x + 4 = 0 or x + 3 = 0

x = 0 – 4 or x = 0 – 3

x = – 4 or –3

Therefore, the roots of the equation are – 4 or –3

b. t² + 6t + 8 = 0

t² + 2t + 4t + 8 = 0

Factorise

t(t + 2) + 4(t + 2) = 0

(t + 4)(t + 2) = 0

t + 4 = 0 or t + 2 = 0

t = 0 – 4 or t = 0 – 2

t = –4 or –2

Therefore, the roots of the equation are –4 or –2

c. 2n² – 2n – 24 = 0

Divide through by 2

n² – n – 12 = 0

n² + 3n – 4n – 12 = 0

Factorise

n(n + 3) – 4(n + 3) = 0

(n – 4)(n + 3) = 0

n – 4 = 0 or n + 3 = 0

n = 0 + 4 or n = 0 – 3

n = 4 or n = –3

Therefore, the roots of the equation are 4 or –3

d. y² – 11y + 28 = 0

y² – 4y – 7y + 28 = 0

Factorise

y(y – 4) – 7(y – 4) = 0

(y – 7)(y – 4) = 0

y – 7 = 0 or y – 4 = 0

y = 0 + 7 or y = 0 + 4

y = 7 or 4

Therefore, the roots of the equation are 7 or 4.

Answer:

15

Step-by-step explanation: I believe that's the answer because the hypotenuse in a 30 60 90 is x2 and 15x2=30

Answer:

15

Step-by-step explanation:

Answer:

11+3z

Step-by-step explanation:

You would combine the like terms, 9+4-2 is 11 and 6z-3z=3z

Answer:

Explanation:

9 − 3z + 4 + 6z − 2

-3z + 6z + 9 + 4 - 2

3z + 9 + 4 - 2

Answer:

Step-by-step explanation:

Suppose F represents the value that a room is unlocked.

Then, we can assume that the probability of unlocked homes is:

P(unlocked homes) = P(U)

P(unlocked homes) = 40%

P(unlocked homes) = 0.40

Also, let us represent the value of the locked room with G.

P(locked homes) = P(G)

P(locked homes) = (1 - 0.40)

P(locked homes) = 0.60

Let the probability of selecting a correct key be P(S)

It implies that for the agent to use 3 keys, we have a combination of [tex]^8C_3[/tex] possible ways for the set of keys.

Now; since only one will open the house, then:

P(select correct key) = P(S)

[tex]P(S) = \dfrac{ (^1_1) (^7_2) }{ ^8_3 }[/tex]

[tex]P(S) = \dfrac{21}{56}[/tex]

P(S) = 0.375

Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:

P(F ∪ (G∩S) = P(F) + P(G∩S)

P(F ∪ (G∩S) = P(F) + P(G) × P(S)

P(F ∪ (G∩S) = 0.40 + (0.60×0.375)

P(F ∪ (G∩S) = 0.40 + 0.225

P(F ∪ (G∩S) =0.625

Answer:

E and F

Step-by-step explanation:

✔️One of the angles of the triangle given has a measure that is above 90° (120°). An obtuse triangle triangle has an angle measure that is above 90°. Therefore, the triangle above is an obtuse triangle.

✔️All three angles and sides are of unequal measure, therefore, this can be referred to as a scalene triangle. A scalene triangle has 3 unequal angles.

Answer:

E F

Step-by-step explanation:

Step-by-step explanation:

me kuch nhi karunga

Rectangle

Just finished the post test right now.

Answer:

14 dimes and 4 quarters

Step-by-step explanation:

x= number of dimes

y=number of quarters

x-10=y

0.10x+0.25y=2.40

substitute for y

0.10x+0.25(x-10)=2.40

0.35x-2.50=2.40

0.35x=4.90

x=14

y=4

Answer:

is y=5/7x+2,y=5/7x-30 parell or perpendicular

It's parallel

Answer:

2/7

Step-by-step explanation:

Hope that helps! (Brainliest please!)

Answer:

Step-by-step explanation:

Your answer

816 dollars

Mark it as Brainlist answer. Follow me.

Answer:

Amount of salt = 500 milligrams

Step-by-step explanation:

Given:

Amount of salt = 0.5 g

Find:

Amount of salt in milligrams

Computation:

1 gram = 1,000 milligrams

So,

Amount of salt = 0.5 x 1,000

Amount of salt = 500 milligrams

Answer:

b) x= -13

Step-by-step explanation:

Answer:

it's answer is= - 13.175

but it is not in option

so B) - 13

is right

Answer:

151/720

Step-by-step explanation:

1 day = 24 hours = 1440 minutes

5 hours 2 minutes = 302 minutes

302/1440 = 151/720

Answer:

12.6

Step-by-step explanation:

Let 8/10 = X/16

So,

X = 8/10 X 16

X = 12.8

#HopeItHelps

Answer:

mid point={(7-1)/2,(1-5)/2=(3,-2)

Answer:

77 = m∠D  =  m∠E

Step-by-step explanation:

In a triangle the sum of the measures of the angles = 180.  So m∠D  + m∠E + m∠F = 180

Let  m∠D = m∠E = x

Then x + x + 26 = 180

2x + 26 = 180

2x = 154

x = 77 = m∠D  =  m∠E

Answer:

620 milliliters

Step-by-step explanation:

1 milliliter= 0.001 liters

0.62L= move the decimal point 3 places to the left

0.62

06.2

062.

0620.

620 milliliters

Answer:

[tex]Blue =1\frac{3}{5}[/tex]

Step-by-step explanation:

Given

[tex]Blue = 1\frac{1}{3}[/tex]

[tex]Red = 1\frac{2}{3}[/tex]

Required

Determine the amount of blue paint when Red = 2

To do this, we make use of the following equivalent ratios

[tex]Ratio = Blue : Red[/tex]

When  [tex]Blue = 1\frac{1}{3}[/tex] and  [tex]Red = 1\frac{2}{3}[/tex]

[tex]Ratio = 1\frac{1}{3} : 1\frac{2}{3}[/tex]

When Red = 2

[tex]Ratio = Blue : 2[/tex]

Equate both ratios

[tex]Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}[/tex]

Convert to division

[tex]\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}[/tex]

Convert fractions to improper fraction

[tex]\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}[/tex]

[tex]\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}[/tex]

[tex]\frac{Blue}{2} =\frac{4}{5}[/tex]

Make Blue the subject

[tex]Blue =\frac{4}{5}*2[/tex]

[tex]Blue =\frac{8}{5}[/tex]

[tex]Blue =1\frac{3}{5}[/tex]

Answer:

Step-by-step explanation:

There are five dice, so whatever the first die rolls there is a 1/6 chance that the second die is the same number. If that occurs, there's a 1/6 chance that the third die is the same, ditto the fourth and the fifth. So probability of Yahztee in one roll is 1/6 x 1/6 x 1/6 x 1/6 = 1/1296.

Answer:

A 60% chance

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/Sin(105) = c / sin(15)

2 * sin(15) = c * sin(105)        Divide by Sin(105)

2 * sin(15)/Sin(105) = c

2 * 0.2679  = c

c = 0.539

c = 0.5

Answer:

Socialisation is the process through which individuals learn the norms and values of society, leading to social cohesion and a functional society

hope it helps you

please mark me as brainlist

Step-by-step explanation:

mixing up and following social norms and values as a member of the society is called socialization.

Answer:

9 minutes

Step-by-step explanation:

Answer:

6 white & 4 brown

Step-by-step explanation:

12-6=6

12-8=4

Answer:

(2, -4) would be point b.

Step-by-step explanation:

This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis

Answer:

70,438.20

Step-by-step explanation:

To calculate the future value you use the following formula

FV=PV(1+i)^n

Plug in our numbers and get

FV=42000(1+.09)^6

42000*1.09^6=70,438.20

Answer:

C and 2/21

Step-by-step explanation:

i did it

We can write the product of the given fractions as -

{4/7 x 1/6} = 2/21

A fraction is expressed in the form of {x/y}, where {y ≠ 0}.

Given is to find the product of the fractions -

4/7 and 1/6

We can write the product of the fractions {4/7} and {1/6} as -

{x] = 4/7 x 1/6

{x} = 2/7 x 1/3

{x} = 2/21

Therefore, we can write the product of the given fractions as -

{4/7 x 1/6} = 2/21.

To solve more questions on fractions, visit the link below-

https://brainly.com/question/10354322

#SPJ2