The length of a rectangle is 3 centimeters less than its width. What are the dimensions of the rectangle if its area is 238 square​ centimeters?

Step-by-step explanation:

the triangle URT is an Equilateral triangle so all angles are equal to 60°

and the full triangle UTS is a right angle .

5y= 90-60= 30°

y= 6

and since the triangle RST is an Isosceles triangle

so the angle RST and RTS are equal .

in this case =30° .

[tex] \sin(30) = \frac{x - 7}{11 + x - 7 } \\ \sin(30) = \frac{x - 7}{x + 4} \\ 0.5 = \frac{x - 7}{x + 4} \\ 0.5(x + 4) = (x - 7) \\ 0.5x + 2 = x - 7 \\ 0.5x = 9 \\ x = 18[/tex]

Answer:

c) 5.9%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given system:

Solve for x by elimination method:

Multiply the first equation by 4 and the second equation by 3:

Subtract the second equation:

Correct option is D

Answer:

Step-by-step explanation:

4x − 3y = 3

5x − 4y = 3

a system of linear equation has one solution when

[tex] \frac{4 }{5} ≠ \frac{ - 3}{ - 4} [/tex]

therefore

this system of linear equation has only one solution

4x − 3y = 3.......1

5x − 4y = 3.......2

get from 1st equation

[tex]4x - 3y = 3 \\ - 3y= - 4x + 3 \\ y = \frac{ - 4x + 3}{ - 3 } \\ y = \frac{4}{3} x - 1[/tex]

[tex]subsitute \: got \: volue \: of \: y \: into \: 2nd \: equation[/tex]

[tex]5x - 4( \frac{4}{3} x - 1) = 3 \\ 5x - \frac{16}{3} x + 4 = 3 \\ 5x - \frac{16}{3} x = - 1 \\ \frac{15x - 16x}{3} = - 1 \\ - x = - 3 \\ \huge \therefore \: x = 3[/tex]

Answer:

I typed in the equation to see how it would look on the graph and theres only one zero(x-intercept) on the graph.

Step-by-step explanation:

Answer:

option b is the correct one l

Answer: -1

Step-by-step explanation:

I think it's either fixed or income but I think it's income

Answer:

Fixed

Step-by-step explanation:

She's paying a consistent amount every month  

Answer:134

Step-by-step explanation:

The measure of CED is 46°. The correct option is C. 46°

From the question, we are to calculate the measure of angle CED

From the given diagram, we can write that

∠AED + ∠CED = 180° (Sum of angles on a straight line)

From the given information,

∠AED = 134°

Thus,

134° + ∠CED = 180°

∠CED = 180° - 134°

∠CED = 46°

Hence, the measure of CED is 46°. The correct option is C. 46°

Learn more on Calculating the measure of an angle here: https://brainly.com/question/164801

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Answer:

8x-x=70

Step-by-step explanation:

Answer:

The correct answer is,

[tex] \frac{ {q}^{2} }{4} + 7[/tex]

They are all right angles which are 90 degrees. The missing angle is 90 minus the given angles:

1. 90 - 60.7 = 29.3

2. 90 - 60.3 = 29.7

3. 90 - 30.9 = 59.1

Answer:

-5 1/5 divide 2/3 = -7.8

mixed number form : -7 4/5

Step-by-step explanation:

I hope this helped! <3

brainiest please.

Answer:

Exact Form: − 39/ 5

Decimal Form: − 7.8

Mixed Number Form: − 7  4/ 5

Step-by-step explanation:

f(-9) means x is -9

Replace x with -9 and solve:

2/3(-9) - 6

Simplify:

-6 - 6 = -12

f(-9) = -12

Answer:

C - The failure was a starting point for a buildup of aggression around the world.

Step-by-step explanation:

EDGE2021 :-)

Have a nice day! ;)

We can actually deduce here that the League of Nations' failure to end the Abyssinian Crisis actually helped to lead to World War II in the following way: C. The failure was a starting point for a buildup of aggression around the world.

The Abyssinia Crisis is actually known to be a crisis that took place in 1935 which took place during the period of the conflict between the Kingdom of Italy and the Empire of Ethiopia. It happened that Italy was actually ruled against by the League of Nations. They were voted for economic sanctions.

We can actually deduce here that the League of Nations' failure to end the Abyssinia Crisis led to World War II when there was a buildup of aggression around the world.

Learn more about Abyssinian Crisis on https://brainly.com/question/473534

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Answer:

Speed of plane in still air = 135 km/h

Speed of wind = 23 km/h

Step-by-step explanation:

Given that:

Speed of plane with the wind = 158km/h

Speed of plane against the wind = 112km/h

Let,

x be the speed of plane

y be the speed of wind

According to given statement;

x+y = 158     Eqn 1

x-y = 112       Eqn 2

Adding Eqn 1 and 2

[tex]x+y+x-y=158+112\\2x = 170\\\frac{2x}{2}=\frac{270}{2}\\x=135[/tex]

Putting x = 135 in Eqn 1

135+y = 158

y = 158-135

y = 23

Hence,

Speed of plane in still air = 135 km/h

Speed of wind = 23 km/h

Answer:

i think its B............

Answer:

The two numbers are a = 57 and b = -7

Step-by-step explanation:

Let's write the first sentence into an equation.

A) The sum of two numbers is 50

[tex]a+b=50[/tex] (1)

B)The first number is 43 less than twice the second number.

[tex]a=43-2b[/tex] (2)

Now, we just need to solve the system of equations (1) and (2)

Let's put (2) into the (1)

[tex]43-2b+b=50[/tex]

[tex]43-b=50[/tex]

[tex]b=43-50[/tex]

[tex]b=-7[/tex]  

Using this value in (1) we can find a

[tex]a-7=50[/tex]

[tex]a=57[/tex]

Therefore, the two numbers are a = 57 and b = -7

I hope it helps you!

Answer:

Arc length = 54.85mm

Step-by-step explanation:

360/32 = 11.25

11.25 * 559 = 6288.75

6288.75 * 3.14 = 19746.675

19746.675/ 360 = 54.851875

Rounded to the nearest hundredth

Arc length = 54.85mm

Answer:

2,637.18 [tex]in^{3}[/tex]

Step-by-step explanation:

The formula for finding the volume of a cylinder is....

V = π [tex]r^{2}h[/tex]

π = 3.14

Radius = 7

Height = 13

Now that we have what we need, we can substitute the numbers into the equations to get our volume

V = π [tex]r^{2}h[/tex]

V = 3.14 * [tex]7^{2}[/tex] * 13

V = 3.14 * 49 * 13

V = 202.86 * 13

V = 2,637.18

The volume of the cylinder is 2,637.18 [tex]in^{3}[/tex]

Hope this helped!

have a supercalifragilisitcexpialidocious day!

Answer:

Bisexual is when you like boys and girls and pansexual is when you like non-binary, boys, girls, and gender fluid

Step-by-step explanation:

Answer:

true///its just that pans are into all genders while bi are into  the 2 main gender spectrum

if that makes sense

Answer:

1. [tex]4x + 5y \leq 60[/tex]

2. 15

3. 12

4. No, because if you put those values into the inequality you get

4 * 9 + 5 * 5 [tex]\leq[/tex] 60 --> [tex]36 + 25 \leq 60[/tex] --> [tex]61 \leq 60[/tex] which is not true.

Step-by-step explanation:

1. if a car costs $4, the total cost of cars is 4x

if a doll costs $5, the total cost of dolls is 5y

you have at most $60 to spend, so the amount you spend has to be less than or equal to 60.

The inequality would be [tex]4x + 5y \leq 60[/tex].

2. At the x-intercept y would be 0, so

4x + 5(0) = 60

4x = 60

x = 15

3. At the y-intercept, x would be 0, so

4(0) + 5y = 60

5y = 60

y = 12

4. Already explained in the answer

Answer: 12 minutes

Step-by-step explanation: water :)

Answer:

[tex] - 4x + 3 - 7x - 8 \\ = - 11x - 5 \\ = - (11x + 5)[/tex]

Answer:

-11x-5

Step-by-step explanation:

-4x-7x+3-8_______collect like terms together

-11x-5___________simplified form

Step-by-step explanation:

HERE,

redius of a circle (r)=14 meters.

we know that,

[tex]\boxed{\red{\sf{circle~ circumference=2\times \pi \times r   }}}[/tex] 

According to the question,

circle circumference=

so, the circumference of that circle is 88 meters.

Answer:

x=1, y=-1

Step-by-step explanation:

like the picture

Answer:

Step-by-step explanation:

4x-2 +3x+7 = 180

7x + 5 = 180

7x = 175

x = 25

3(25) + 7 = 82

Answer:

82 (degrees)

Step-by-step explanation:

4x-2+3x+7=180=7x+5...175=7x...x=175/7... x=25

This is both angles combined which we know adds up to half of the entire quadrilateral (180 degrees). Then solve.

3(25) +7=82 which is equal to f

f=82