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
galina1969 [7]
3 years ago
11

The area of a triangle is 80x^5y^3. The height of the triangle is x^4y. What is the length of the base of the triangle?

Mathematics
2 answers:
svetoff [14.1K]3 years ago
7 0
Area of a triangle is given by 1/2bh where b is the base and h is the perpendicular height of the triangle.
The area is 80x∧5y³ and the height is x∧4y
Thus; 80x∧5y³ = 1/2(x∧4y) b
         160x∧5y³ = (x∧4y)b
                  b = (160x∧5y³)/ x∧4y)
                  b = 160xy²
Therefore, the base of the triangle is 160xy²
mr_godi [17]3 years ago
7 0

Area of a triangle = 1/2 * base * height

 

Area, A = 80x^5 · y^3

Base, b = ?

Height, h = x^4 · y

Therefore, 80x^5 · y^3 = 1/2 * b * x^4 · y

 

Multiply the equation by 2

2 * 80x^5 · y^3 = 2 * 1/2 * b * x^4 · y

160x^5 · y^3 = b * x^4 · y

b * x^4 · y = 160x^5 · y^3

 

Divide the equation by x^4 · y

(b * x^4 · y)/ x^4 · y = (160x^5 · y^3) / x^4 · y

b = 160x^(5 – 4) · y^(3 – 1)

b = 160x · y^2

 

The length of the base of the triangle is 160x · y^2

You might be interested in
Is x/10=y a direct variation. If so, what is the constant of proportionality?
stiv31 [10]

Answer:

Yes,

y

=

−

x

10

is a direct variation

6 0
3 years ago
Find the sum.<br>(3x - 4) + (12x + 10)​
guajiro [1.7K]

Answer:

15x+6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
25x 10 ^ 6 in standard form ​
ehidna [41]

25x10⁶ = 2.5x10⁷=25000000

#Learn more

-34/51 in standard form​

brainly.in/question/12244412

3 0
3 years ago
Find the perimeter of the rectangle whose vertices are the points with coordinates (-1,-9), (4-9),(-1, -3), and (4, -3).
Airida [17]

Answer:

The perimeter is 22

Step-by-step explanation:

Using a graph would be the easiest way to solve this type of problem (just count the units from each point and add them all up). Perimeter= 2l+2w

If graph paper is not available then you may need to use your head a little bit and imagine a graph. You want to first find the length (or width because either can be it) by finding the two points with similar x or y values.

One of the lengths can be found by using (-1,-9) and (4,-9) because they have similar y values. Next you want to find the distance between the two values so that you can find the length. When two points are in different quadrants (use the image for reference) you would add the x values by their absolute values in meaning the distance the number is from 0 or that you change the negative numbers into positive numbers. Add 1 and 4 and you get 5. The length is 5 which you then multiply by 2 and get the length of both sides.

Because you have the two lengths the width where both of the x values are similar and find the distance between the points. You can use the two points (-1,-9) and (-1,-3). Use the absolute value of the two y values and subtract them because they are in the same quadrant (refer to the image if needed). Use the largest absolute value and subtract the lowest absolute value so that you get 9-3 which would give you 6. The width is 6 and you then multiply it by 2 so that you get 12. 12 is the width of both sides of the rectangle. Add all 4 sides together to get a perimeter of 22.

5 0
3 years ago
$7.825 per hour × $32.125 hours round answer to the thousandth of a dollar???​
xenn [34]
Correct it is right u have to multipl
4 0
3 years ago
Other questions:
  • What is the GCF of 44 and 110?
    11·1 answer
  • Cameron can paint a door in 6 hours, and Ella can do the same job in 3 hours. Working together, how many hours will it take them
    5·1 answer
  • Reuben can type 48 words in 8 minutes what is the rate in words per minute ?
    14·1 answer
  • What is the eighth term in the arithmetic sequence defined by the explicit formula an=5n+3 ?
    7·1 answer
  • Please help with number 3!! I can’t figure it out.
    5·1 answer
  • In a regular deck of cards (52)<br>p(ace | face card)=​
    6·2 answers
  • A square has a perimeter of 380 units. What is the length of the diagonal of the square? Express your answer in simplest radical
    7·1 answer
  • In September, a website had 12,629 visitors. In October, the website had 24,290 more visitors than it did in September. The webs
    14·1 answer
  • If there are 80 shirts - 30%are blue and 40%are red how many<br> are white
    6·2 answers
  • Please help me 15 points :)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!