lisa had wood that was 12 1/2 feet long. she cut it into 5 pieces that are equal in leangth.how long is each piece of wood?

Answer:

101°

Step-by-step explanation:

In the rightmost triangle the missing angle is:

180° - 51° - 90° = 39° .     90° comes from the other angle in the straight horizontal line, because there is a 90° on the other side

In the leftmost triangle, the missing angle is:

180° - 90° - 50° = 40° .         50° comes from 180° - 130°

In the straight line

ABC = 180° - 40° - 39° = 101°

Answer = 101°

If my answer is incorrect, pls correct me!

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-Chetan K

Well there are no choices listed so it's going to be hard to say which; we'll write an expression for all of them and then give a few instances.

A parabola with a minimum forms a CUP, concave-up positive, meaning the coefficient a on x² must be positive, a>0.  

The general form with vertex (p,q) is

y = a(x-p)² + q

So for us, all our parabolas are of the form

y = a(x- -3)² + 9

y = a(x² + 6x + 9) + 9

y = ax² + 6ax + 9(a+1)

That's the general form for a parabola with vertex (-3,9); a>0 assure the parabola has a minimum at the vertex.

Some instances:

a=1 gives

Answer: y = x²+6x+18

a=4 gives

y = 4x² + 24x + 45

Other positive as give other possible answers; without the choices it's impossible to know which one they're seeking.

Given:

The two numbers are [tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex].

To find:

The 4 rational numbers between the given numbers.

Solution:

We have,

[tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex]

First we need to make common denominators. So multiply and divide the first fraction by 3 and second fraction by 2.

[tex]-\dfrac{1\times 3}{2\times 3}=-\dfrac{3}{6}[/tex]

[tex]-\dfrac{1\times 2}{3\times 2}=-\dfrac{2}{6}[/tex]

We need to find 4 rational numbers between the given numbers. So, multiply and divide both fractions by five, (4+1=5).

[tex]-\dfrac{3\times 5}{6\times 5}=-\dfrac{15}{30}[/tex]

[tex]-\dfrac{2\times 5}{6\times 5}=-\dfrac{10}{30}[/tex]

Now, the four numbers between -15 to -10 are -14, -13, -12, -11.

[tex]-15<-14<-13<-12<-11<-10[/tex]

[tex]-\dfrac{15}{30}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{10}{30}[/tex]

[tex]-\dfrac{1}{2}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{1}{3}[/tex]

Therefore, the 4 rational number between the given numbers are [tex]-\dfrac{14}{30},\ -\dfrac{13}{30},\ -\dfrac{12}{30}\ -\dfrac{11}{30}[/tex].

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{4\times \dfrac{2}{3}}[/tex]

[tex]\huge\textbf{Simplifying it:}[/tex]

[tex]\mathbf{4\times \dfrac{2}{3}}[/tex]

[tex]\mathbf{= \dfrac{4}{1}\times\dfrac{2}{3}}[/tex]

[tex]\mathbf{= \dfrac{8}{3}}[/tex]

[tex]\rightarrow\large\text{Finding out what is equal to: }\rm{\dfrac{8}{3}}\leftarrow[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]\huge\text{Option A.}[/tex]

[tex]\mathbf{6\times \dfrac{2}{3}}[/tex]

[tex]\mathbf{= \dfrac{6}{1}\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{6\times1}{1\times3}}[/tex]

[tex]\mathbf{= \dfrac{6}{3}}[/tex]

[tex]\mathbf{= 2}[/tex]

~~~~~

[tex]\rm{\bf 2 \neq \dfrac{8}{3}}[/tex]

~~~~~~

[tex]\huge\text{Option B.}[/tex]

[tex]\mathbf{10\times \dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{10}{1}\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{10\times1}{1\times 3}}[/tex]

[tex]\mathbf{= \dfrac{10}{3}}[/tex]

~~~~~~

[tex]\rm{\bf \dfrac{10}{3} \neq \dfrac{8}{3}}[/tex]

~~~~~~

[tex]\huge\text{Option C.}[/tex]

[tex]\mathbf{2\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{2}{1}\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{2\times1}{1\times3}}[/tex]

[tex]\mathbf{= \dfrac{2}{3}}[/tex]

~~~~~

[tex]\rm{\bf \dfrac{2}{3} \neq \dfrac{8}{3}}[/tex]

~~~~~

[tex]\huge\text{Option D.}[/tex]

[tex]\mathbf{8\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{8}{1}\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{8\times1}{1\times3}}[/tex]

[tex]\mathbf{= \dfrac{8}{3}}[/tex]

~~~~~

[tex]\rm{\dfrac{8}{3} = \dfrac{8}{3}}\large\checkmark[/tex]

~~~~~

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{Option\ D. 8\times \dfrac{1}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

h=4cm

Step-by-step explanation:

a) volume of a cuboid= LBH

cuboid a=(3x2x8)cm³

=48cm³

cuboidb

6cmx2cmxh=48cm³

12cm²xh=48cm³

12cm²h/12cm²=48cm³/12cm²

h=4cm

Answer:

x = 30

Step-by-step explanation:

If two triangle are similar then the measure of their corresponding sides are

proportional.

   [tex]\frac{JL}{PQ} = \frac{JK}{PR}\\\\\frac{20}{x} = \frac{24}{36}\\\\x \times 24 = 20 \times 36[/tex]                              [tex][ \ cross \ multiply \ ][/tex]

   [tex]x = \frac{20 \times 36}{24}\\\\x = 5 \times 6 = 30[/tex]

Answer:

12) A

the values are each devided by three then multiplied by 4

13) C

values are 4 times as big as in the right figure

14) and 15) two thirds of the value in the left figure. the rotation is just to disorient you a lil :D just keep the 90° angle as a reference point

x is option A

and y is option C

Answer:

Step-by-step explanation:

On a number line, -2 appears to the right of -5, and therefore -2 is warmer than -5.  (Answer A)

The difference between -2 and -5 is -2 - (-5) = 5 - 2 = 3 degrees C  (Answer B)

In other words, -2 is 3 degrees C warmer than -5 degrees C.

Answer:

option 4 see desmos graph will help you

Answer:

25%

bc its 1/4 = 0.25 of the purchase price.

the other percentage is 45

108/240 = 54/120 = 18/40 = 4.5/10 = 45/100

Answer:

It will take the train 1.2375 minutes to pass the tunnel

Step-by-step explanation:

Mathematically, we know that ;

time = distance/ speed

The distance here is the length of the train which is 132 m ; we can convert this to km by dividing by 1000

We have this as 132/1000 = 0.132 km

So, we have the time as;

0.132 km/6.4 km/hr = 0.020625 hr

Mathematically, we know that 60 minutes make an hour;

so we have

0.020625 * 60 = 1.2375 minutes

Answer:

$10.65 divide by 5 equals $2.13

Answer:

The cost per bag of dog treats is $2.13.

Step-by-step explanation:

We have the total, so to find the cost per bag you would take the total and divide by how many bags there are.

Total = $10.65

How many bags there are : 5

$10.65 divided by 5 = 2.13

The cost per bag of dog treats is $2.13.

Step-by-step explanation:

x2+1/x2=27

x2+1=27x2

1=26x2

x2 = 1/26

x = √(1/26)

x3+1/x3 = (√(1/26))^3 + 1 / (√(1/26))^3

x3+1/x3 = 134

Please find attached photograph for your answer

Answer:

3

Step-by-step explanation:

Express the numbers as a product of their primes.

42 = 2 × 3 + 7

30 = 2 × 3 × 5

45 = 3 × 3 × 5

Identify the prime factors common to all 3 numbers.

common prime factor = 3 , thus

GCF = 3

Answer: 3

Step-by-step explanation: The factors of 30 are 1. 2. 3. 5. 6. 10, 15, 30

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 45 are 1, 3, 5, 9, 15, 45

As you can see they all share the factors of 1 and 3. Since 3 is the greatest number of the factors all of them share it is the greatest common factor.

Answer:

ans : x in terms of p is 15/p and if p is -5 than x= -3

Step-by-step explanation:

4( px +1 ) = 64

( Px + 1 ) = 64/4

px = 16 - 1

x = 15/p

and , if p= -5 than,

x = 15 / (-5)

= - 3

Answer:

c

Step-by-step explanation:

Answer:

x is greater than or equal to 3

So it is the first answer.

(a) A temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.

(b)The inequality -2>-5 will be used to illustrate the connection between -2 and -5.

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

On a number line, graph all the temperature that are warmer than -2°C.

(a)-2 °C  temperature is warmer,As the temperature in the graph is decreasing,-2 °C temperature is warmer than -5 °C.

The inequality to express the relationship between -2 and -5 will be -2>-5.

Hence,temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.

To learn more about the graph, refer to the link;

https://brainly.com/question/14375099

#SPJ2

Answer:

187, 199, 211, 250, 298, 331, 347, 362

[tex]median = {( \frac{n}{2} + 1) }^{th} \: value \\ = ( \frac{8}{2} + 1) {}^{th} \: value \\ = {5}^{th} \: value \\ median = 298[/tex]

Answer:

The median is the middle number in a set of data when the data is arranged in ascending (this is more common) or descending order. If there are an even number of values in the data set, the median is the arithmetic mean of the two middle numbers. Thus, the median separates the lower and higher half of a data set.

Step-by-step explanation:

ascending order : 187, 199, 211, 250, 298, 331, 347, 362

answer: 250, 298 .

Answer:

The answer is 37

Step-by-step explanatio

Answer:

A

Step-by-step explanation:

the middle angle has to be equal to make the entire angle equal

Answer:

C. It is shifted 4 units down.

Step-by-step explanation:

Shifted four units down. When a number is at the end of the equation, it means that that number shifts up or down depending on its sign.  

Answer:

It is shifted 4 units down

Step-by-step explanation:

When we have a function the constant number that is not multiplied by a variable, in this case, 4 in the first function, indicates where the function will intercept the y-axis, or when x is equal to 0.

In this case, we have two functions:

y = 5x^2 - 4, in which -4 is the constant that will determine where the function intercepts the y-axis. So if we say that we have x=0, then y=-4

In the second function we have:

y= 5x^2, this function is very similar but we don´t have another number after 5x^2, so we will have a similar graph but when x = 0 then y = 0.

So the first graph is shifted 4 units down. We can see this in the attachment.

It shifted 4 u it’s to the left

It is shifted 4 units to the left.

Answer:

96

Step-by-step explanation:

80*120=9600 divided by 100

Answer:

63 is the range of the following test scores.

Step-by-step explanation:

1. The largest number is 95.

2. The smallest number is 32.

3. The range is the difference between the largest and the smallest number.

4. Subtract 95 - 32 which equals 63.

5. 63 is the range of the following test scores.

Answer:

23

Step-by-step explanation:

The pattern is adding by 5

18+5=23

Hope this helps! :)

Answer:

23

Step-by-step explanation:

each one is 5+ its a pattern so the last one needs to be 5+ so 19 20 21 22 23

Answer:

Step-by-step explanation:

Straight line equation is in the form of:

Lets verify the options:

Answer:

Step-by-step explanation:

She made the -2(6) as a positive 12. it should've been a negative 12 because a negative multiplied by a positive is a negative.

An attachment would help. Assuming this is the Pythagorean theorem, c would be 10 feet. (6)^2 + (8)^2 = 100 -----> √100 = 10