1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ikadub [295]
3 years ago
15

A=1/2bh. A=200ft. H=10. What is b

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

Answer:

B= \frac{2A}{H}

Step-by-step explanation:

If you noticed, A= \frac{1}{2}BH is the formula for finding the area for a triangle. Your goal is to get B by it's self. Your first step will be to clear of the fraction first, so you will multiply both sides by 2.   2(A)=2(\frac{1}{2}BH).    On the left, you have 2×A= On the right side, you have     2(\frac{1}{2}BH),     but since you have a number in the equation, you will only use 2×\frac{1}{2}. To solve  2×\frac{1}{2}, you will cnacel out both 2's and you have 1. 1×BH will still equal BH, so you are now left will B×H.

(Your new equation looks like this by the way).    2A=BH

Since you need to get B by its self, the way to clear the H away from the B is by dividing.  You will now divide the B and H aswell as 2A and H. (It will look like this) \frac{2A}{H} = \frac{BxH}{H} . (Again when you have the same number or letter, you cross it out. When you divide, you won't change anything on the left side, and all you have to do on the right id to cross out the H next to the B and cross out the H on the bottom of the equation). You should be left with \frac{2A}{H} = B. Now you can turn it around for your final answer. B= \frac{2A}{H}.

Please let me know if i helped, how I did, and if you have any questions.

You might be interested in
If y=mx, and y is 12 when x is 4, then what is the constant of proportionality in this equation?A. 1/3B. 3C. 8D. 16
Anna007 [38]
\begin{gathered} y=mx\text{  when  x=4 and y=12} \\ 12=m(4) \\ 4m\text{ =12} \\ m=\frac{12}{4}=3 \end{gathered}

The constant of proportionality,m, is 3 (option B)

5 0
1 year ago
6-2/3(x+5)=4x solve for x
laiz [17]

Answer:

3x^2+15x-1=0

Step-by-step explanation:

4/(3x+15)=4x

4=12x^2+60x

12x^2+60x-4=0

3x^2+15x-1=0

Please solve after that, I cannot do everything for you

5 0
2 years ago
What is the solution to (-14)^-2?<br>​
GREYUIT [131]

Answer:

1/196

Step-by-step explanation:

  • (-14)^-^2
  • \frac{1}{(-14)*(-14)}
  • \frac{1}{(-14)^2}
  • \frac{1}{196}
4 0
3 years ago
Read 2 more answers
3a + 2b = c<br><br> b = c - (3a - 2)<br> b = (c - 3a)/2<br> b = (3a - c)/2
Lina20 [59]

Answer:3a + 2b = c

2b = c - 3a

b = (c - 3a)/2

7 0
3 years ago
Find the area of the region bounded by the parabola y = 2x^2, the tangent line to this parabola at (4, 32), and the x-axis.
Anna [14]
I have a solution here that has a slight change in given where instead of <span>(4, 32), it is (3, 18). However, since the solution has provided explanations on each process, step-by-step, I believe that by thoroughly analyzing it, you might just answer this problem on your own!
</span>

f(x) = 2x² ← this is the parabola 

f(3) = 2 * 9 = 18 → the parabola passes through A (3 ; 18), so its tangent line too 


f'(x) = 4x ← this is the derivative 

…and the derivative is the slope of the tangent line to the curve at x 

f'(3) = 4 * 3 = 12 ← this is the slope of the tangent line to the curve at x = 3 


Equation of the tangent line 

The typical equation of a line is: y = mx + b → where m: slope and where b: y-intercept 

You know that the slope of the tangent line is 12. 

The equation of the tangent line becomes: y = 12x + b 

The tangent line passes through A (3 ; 18), so these coordinates must verify the equation of the tangent line. 

y = 12x + b 

b = y - 12x → you substitute x and y by the coordinates of the point A (3 ; 18) 

b = 18 - 36 = - 18 

→ The equation of the tangent line is: y = 12x - 18 


Intersection between the tangent line to the curve and the x-axis: → when y = 0 

y = 12x - 18 → when y = 0 

12x - 18 = 0 

12x = 18 

x = 3/2 

→ Point B (3/2 ; 0) 


Intersection between the vertical line passes through the point A and the x-axis: → when x = 3 

→ Point C (3 ; 0) 

The equation of the vertical line is: x = 3 


Area of the region bounded by the parabola y = 2x², the tangent line to this parabola at (3 ; 18), and the x-axis. 

= (area of the region bounded by the parabola y = 2x² and the x-axis) - (area of the triangle ABC) 

= [∫ (from 0 to 3) of the parabola] - [(xC - xB).(yA - yC)/2] 

= [∫ (from 0 to 3) 2x².dx] - [(xC - xB).(yA - yC)/2] 

= { [(2/3).x³] from 0 to 3 } - { [3 - (3/2)].(18 - 0)/2 } 

= [(2/3) * 3³] - { [(6/2) - (3/2)] * 9 } 

= [(2/3) * 27] - { [(3/2) * 9 } 

= 18 - (27/2) 

= (36/2) - (27/2) 

= 9/2 square unit
6 0
3 years ago
Other questions:
  • Distributive properties<br><br>of 44 +48
    9·1 answer
  • The expression c-e, where c stands for the money collected and e stands for the expenses, is used to find the profit from a bask
    11·1 answer
  • Solve the following equation 7a-9=12​
    9·2 answers
  • Please help! Cars A, B, and C are travelling at constant speeds.
    6·2 answers
  • point f lies on eg and point m lies on en. If f, e and m are collinear, what must be true of these rays?
    12·2 answers
  • The height of a scale model building is 15 in. The scale is 5 in. to 32 in. Find the height of the actual building in inches and
    8·1 answer
  • Trent earns $19.50 per hour for his 40 hour work week. How much does he earn each week? Question 3 options: $877.50 $800.00 $809
    6·2 answers
  • ansley is going to help his father shingle the roof of their house. What is the area of the triangular portion of one end of the
    15·1 answer
  • You work at a car rental service. A customer returns a car with 4 3/5 gal of gas left in the tank. You add an additional 6 3/10
    5·1 answer
  • Amelia is selling potted plants at her nursery. She charges $12 for each succulent and $4 for each ivy. She sold 34 potted plant
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!