Height of a triangle with base 5m and area 20m2

Answers

Answer 1
Answer: Since the "base of a triangular sail is 5m shorter than its height", we have the equality  

 Start with the formula for the area of a triangle 


 Plug in , , and  


 Multiply both sides by 2 


 Distribute 


 Subtract 36 from both sides 



 Factor the right side (note: if you need help with factoring, check out this solver) 



Now set each factor equal to zero: 
 or  

 or  Now solve for x in each case 


So our possible answers are 

 or  


However, since a negative height doesn't make sense, our only solution is  



So the height is 9 m 

Now subtract 5 from the height to get the base 


 


So the base is 4 m 



Check: 


 Start with the formula for the area of a triangle 


 Plug in , , and  


 Multiply 


 Divide. Since the two sides of the equation are equal, this verifies our answer. 
Answer 2
Answer: If you have a triangle with a base of 5m and an area of 20m2, to find the height begin with the formula of the area of a triangle.

A=1/2bh

Then, plug in your known numbers

20m2=1/2h(5m)

What I do next, is I work backwards by dividing the are by 1/2, which equals 40. All that is left to do, is divide this number, 40, by 5 to find the height.

40/5=8

Therefore, the height of the triangle is 8m

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How do you find the volume of a cylinder?? Step by step by step

Answers


1).  Recall the formula for the volume of a cylinder:

           Volume = (pi) x (radius of the round end)² x (length or height) .

2).  Gather together the number you'll use for pi, the radius of the
cylinder's round end, and its length or height.  Make sure that the
radius of the round end and the length or height are in the same units.
If they're not, then convert something so that they are.

3).  Write each number into its place in the formula.

4).  Perform the indicated operations.  The final number is the
volume of your cylinder.


the formula is \pi r^2h   r= radius
                                                 h= height
you square the radius and then multiply by the \pi and then the height

The school enrollment for Oakwood Elementary is shown in the graph. If the pattern continues, what will the school enrollment be in 2012? Question 19 options: 500 525 550 575

Answers

Answer:

Option B. 525 students.

Step-by-step explanation:

The school enrollment for Oakwood Elementary is shown in the graph.

The given graph is representing a linear function. So we will form the function first to calculate the enrollment in 2012.

Equation of the given line in the graph will be in the form of y = mx + c

where m is the slope and c = y- intercept

y-intercept = 300

this line passes through two ordered pairs (0, 300) and (1, 325)

Now the slope m = (y-y')/(x-x')

m = (325-300)/(1-0)=25

Therefore, equation representing the situation will be y = 25x + 300

Now we will put the value of x = year 2012 - year 2003 = 9 years

y = 25×9 + 300

y = 225 + 300

y = 525

Option B. 525 is the correct option.

Answer:

The answer is 525

14) Which of the following rational numbers have three digits that repeat in it's decimal equivalent?Select all that apply please, thank you :)
A) 3/8
B) 10/21
C) 11/27
D) 8/35
E) 7/37

Answers

3/8 = 0.375

10/21 = 0.4761904761904761

11/27 = 0.407407407407407

8/35 = 0.2285714285714286

7/37 = 0.189189189189189


both 11/27 and 7/37 have three digits that repeat in it's decimal equivalent

10/21 has six digits that repeat

X/-4=-3 show your work

Answers

Answer:

x = 12

Step-by-step explanation:

(x)/(-4) = -3

To solve this equation, simply take the denominator from the fraction on the left side of the equation to the right side of the equation and multiply it with the constant.

Also, do not forget to multiply the signs as both the numbers are negative so the number will become positive after multiplication:

x = -3 × (-4)

x = 12

Therefore x is equal to 12.

x/-4=-3
x=-3(-4)
x=12

Enter the reciprocal of the number. 2/3
The reciprocal is

Answers

Answer: 3/2

Step-by-step explanation: to find the reciprocal of a fraction, we simply flip the fraction. In other words, we will put the denominator in the position of the numerator and the old numerator in the position of the denominator.

Image provided.

2/3

reciprocal means flipping over the fraction

answer:

The reciprocal is 3/2

A square has an area of 144 square feet. What is the length of each side?

Answers

the area of the square is length × length , so if we need the length of each side all what we have to do is the square root of 144 which is 12 .. so 12 is the length of each side .. I hope that would help you ;)