round 1.5ft to the nearest hundredth and round 6ft to the nearest hundredth​

Answer:

1 3/12

Hope this helps :)

Answer:

15/12 or 5/4

Step-by-step explanation:

change all of fractions into a common denominator

\( \frac{10}{12} + \frac{4}{12 } + \frac{1}{12} \)

it would equal 15/12

if you need it reduced 5/4

Answer:

Step-by-step explanation:

The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).

It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.

In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.

Let the capacity of the mug be x.

Given,

Mug is 5/8 full and contains 3/4 of water

So, 5/8 of the mug is filled with water

Therefore,

5/8 of x = 3/4

(5/8 )x = (3/4)

x = (3/4) × (8/5)

x = (24/20)

x = 1.2

Therefore, the capacity of the mug is 1.2.

For more questions related to gallons

https://brainly.com/question/26007201

#SPJ1

The measure of angle ADC in the geometric system is equal to 55°.

In this question we find a geometric system formed by a quadrilateral and an angle vertical to a vertex of the quadrilateral. Angle CDE is supplementary to angles EDF and ADC. Two angles are supplementary whose sum of measures equals 180°. Therefore:

m ∠ CDE + m ∠ EDF = 180°

(2 · x + 1) + (x - 7) = 180°

3 · x - 6 = 180°

3 · x = 186°

x = 62

m ∠ CDE = 2 · x + 1

m ∠ CDE = 2 · 62 + 1

m ∠ CDE = 125°

m ∠ ADC = 180° - 125°

m ∠ ADC = 55°

To learn more on supplementary angles: https://brainly.com/question/29117467

#SPJ1

Answer:

y= 5x + 4

Step-by-step explanation:

slope ontercept

Answer:

I think its 5x + 4 if I did it right

Hey there! :)

Please keep in mind that SOH-CAH-TOA is a life saver when it comes to trig! Where:

- SOH = Sin: opposite over hypotenuse

- CAH = Cos: adjacent over hypotenuse

- TOA = Tan: opposite over adjacent

The question is asking us to find the value of x given the following located in the image provided.

Because we've been given 51°, we'll use this angle to determine whether we're using Sin, Cos, or Tan.

We must now look at the other given variables in this triangle - specifically where they are located.

While looking at our given angle (51°), we see that x is located on the opposite side of 51° while 8 is located adjacent (also known as next) to 51°.

Because of this, we now know that we'll be using Tan (opposite over adjacent) to find the value of x because our given values are opposite and adjacent to 51°.

We now set up our equation to find the value of x:

tan (51°) = \(\frac{x}{8}\) ⇒ we set it up this way because x is opposite of 51° & 8 is adjacent to it.

Now, we must remove all fractions. We can do this by multiplying both sides by 8.

8 × tan (51°) = \(\frac{x}{8}\) × 8

Now, we simplify.

8 × tan (51°) = x

Now, we plug this into our calculator. Make sure your calculator is in degrees mode since we are using degrees, not radians.

8 × 1.2348 = x

Simplify.

x = 9.9

Therefore, angle x is 9.9

Hope this helped! :)

(Image attached for visual reference)

Answer:

The answer is c or a=c  

Step-by-step explanation:

a=c is not true based on the number line because clearly, c is closer to 0 than a, so it cannot be the same distance as a and c.  

The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

Find out more on scale factors at https://brainly.com/question/2826496

#SPJ1

Answer:

Step-by-step explanation:

36x^3 - 81x

9x(4x^2 - 9)

9x(2x - 3)(2x + 3)

She is right

Answer:

12:14

Step-by-step explanation:

Answer: 27.2

Step-by-step explanation:

\(\sin 54^{\circ}=\frac{22}{x}\\\\x \sin 54^{\circ}=22\\\\x=\frac{22}{\sin 54^{\circ}} \approx \boxed{27.2}\)

Let's start from the left to the right.

The first figure is a translation because translation is just sliding the figure without changing the size, shape, angle, and area.

The second figure is a rotation because rotation is just rotating the figure either counterclockwise and clockwise without changing the size, shape, angle, and area.

The third figure is a reflection because reflection is a mirror image.

The fourth figure is a translation as well.

The equation m(x) = (x-3)(x+5) is written in intercept form.

The equation m(x) = (x-3)(x+5) represents a quadratic function.

Analysing the equation.

Standard form of a quadratic equation is written as:

f(x) = ax^2 + bx + c, where a, b, and c are constants.

Intercept form of a quadratic equation is written as:

f(x) = a(x-p)(x-q), where a, p, and q are constants representing the x-intercepts.

Vertex form of a quadratic equation is written as:

f(x) = a(x-h)^2 + k, where a, h, and k are constants representing the vertex coordinates.

The factors (x-3) and (x+5) represent the x-intercepts of the quadratic function.

Therefore, the equation m(x) = (x-3)(x+5) is written in intercept form.

Learn more about intercept form at https://brainly.com/question/306928

#SPJ1

Answer:

y = 3x + 2

Step-by-step explanation:

y = mx + b format

the y and x will stay the same

when graphed, the points make a line that intersects with the y-axis at 2. This would be the y - intercept or "b" in our equation.

m stands for the slope of the line which is represented by rise/run. Going left to right, the line is going upwards which means that the slope will be positive. the distance between these given points is rise 3 and run 1. 3/1

3/1 is the same thing as 3 so your slope would be 3.

your final equation would be y = 3x + 2

hope this helps :)

Answer:

bro it is letter c. (-8,-3)

Step-by-step explanation:

Answer:

C. ( 8,-3 )

Step-by-step explanation:

SANA PO MAKATULONG

Answer:

23, 24, 25, 26, 27, 28, 29, or 30

22.5 ≤ p ≤ 30

Step-by-step explanation:

So we know that in 2/3 hours, Carlos can write 3 to 4 pages.

First, lets find how many 2/3's are in 5. Lets divide 5 by 2/3.

\(\frac{5}{\frac{2}{3}}=7.5\)

So there are 7.5 2/3's in 5.

Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.

7.5(4) = 30

So the maximum amount of pages Carlos can write in 5 hours is 30.

Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.

7.5(3) = 22.5

So the minimum amount of pages Carlos can write in 5 hours is 22.5.

Now we can write the information that we found as an inequality. Lets make p equal to the pages that Carlos can write in 5 hours.

22.5 ≤ p ≤ 30

Any value greater than to equal to 22.5 and less than or equal to 30 would be reasonable.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

2 1/5

Step-by-step explanation:

4 3/5 - 2 2/5

I like to make them vertical

4 3/5

- 2 2/5

-----------------

2 1/5

Answer:

20/7 or as a mixed number 2 and 6/7

Step-by-step explanation:

8

1

÷

14

5

=  

8

1

×

5

14

=  

8 × 5

1 × 14

=  

40

14

=  

40 ÷ 2

14 ÷ 2

=  

20

7

=  

2 6

7

Answer:

Corresponding angles are congruent:

3x - 17 = 2x - 2, so x = 15.

Answer:

+ 0.5 then 1.5 n

Step-by-step explanation:

This question is incomplete , I am answering this question in general as per my knowledge.

No, because you gave T a Boolean when T expected a student as its first argument and a course as its second parameter. This will be less formal if.

The expected,

T(‘‘user2012813",‘‘discrete math")=true

However, the function F(x) and A both yield either true or false (y). Thus, you are attempting to assess

T(F(‘‘user2012813"),A(‘‘discrete math"))=T(true, false)= NULL

Only the first formulation makes sense, but after relations are established, these kinds of structures can be used.

Null functions as both a value and a pointer in computer programming. A built-in constant called null has a value of zero. It is the same as how strings in C are terminated with the letter 0.

Null is another possible value for a pointer, and unless the CPU supports a unique bit pattern for a null pointer, it has the same value as zero.

To learn more about Boolean

brainly.com/question/2467366

#SPJ4

Step-by-step explanation:

that is simply the area of the overall square (31×31) minus the area of the white triangle.

the area of a triangle is

baseline × height / 2

in our case here

31 × 6 / 2 = 31 × 3 = 93 m²

the area of the full square is

31×31 = 961 m²

so, the area of the shaded area is

961 - 93 = 868 m²

The area of the shaded region is 868 squared meter.

The area of a square is expressed as;

A = l²

The area of a triangle is expressed as;

Area = 1/2 × base × height

Given that;

To determine the area of the shaded region, subtract the area of the triangle form the area of the square.

Area of shaded region = ( l² ) - ( 1/2 × base × height )

Plug in the values

Area of shaded region = ( (31 m )² ) - ( 1/2 × 31 m × 6m )

Area of shaded region = 961 m² - 93 m²

Area of shaded region = 868 m²

Therefore, 868 squared meter is the area of the region.

Learn more about area of triangles here: brainly.com/question/19305981

#SPJ1

The equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.

We know that the method to find the axis of the symmetry of the parabola is given by:

x = - b / 2 a

We have the general equation of the parabola as:

y = a x² + b x + c

We have the equation of the parabola as:

y = - 4 x² + 24 x - 35

Comparing from this equation, we get that:

a = - 4

b = 24

c = - 35

Now, substituting the values, we get that:

x = - 24 / 2 (- 4)

x = - 24 / - 8

x = 24 / 8

x = 3

Therefore, the equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.

Learn more about parabola here:

https://brainly.com/question/4061870

#SPJ9

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)

\(\Delta = b^{2} - 4ac\)

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

\(\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}\)

\(\frac{1}{4} = \frac{15 + x + x}{x(15+x)}\)

\(\frac{1}{4} = \frac{15 + 2x}{x(15+x)}\)

Applying cross multiplication.

\(x^2 + 15x = 4(15 + 2x)\)

\(x^2 + 15x = 60 + 8x\)

\(x^2 + 7x - 60 = 0\)

Quadratic equation with \(a = 1, b = 7, c = -60\). So

\(\Delta = 7^{2} - 4*1*60 = 289\)

\(x_{1} = \frac{-7 + \sqrt{289}}{2} = 5\)

\(x_{2} = \frac{-7 - \sqrt{289}}{2} = -12\)

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

Answer:

the answer is 16

Step-by-step explanation:

bc 12+4 is 16 .....

Answer: 38

Step-by-step explanation: