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
In ∆DFG, m∠D = 78o and m∠F = 32o. Which lists the sides in order from longest to shortest?
ioda

Answer:

Side FG, Side DF, Side DG

Step-by-step explanation:

The angles of a triangle add up to 180° and since we know 2 of the angles add up to 110° the missing ∠G can be found by subtracting

180°-110°=70°

The opposite side of the largest angle is the largest side. The opposite is also true.

Since the angle from greatest to least is ∠D, ∠G, ∠F then the sides from greatest to least is Side FG, Side DF, Side DG

8 0
2 years ago
A house is on an 80,000 sq. ft lot. About how many acres is the lot? There are 43.560 square feet in a acre?
brilliants [131]
So there are 1.837 acres in 80,000 square feet, but if you need to simplified answer its 1.800 or 1.840
3 0
3 years ago
Help please.
maria [59]
A1=-15
a2=a1+d→-4=-15+d→d=11
8 0
3 years ago
X y
Darina [25.2K]

Answer:

Part 1) The rate of change is \frac{17}{15}

Part 2) The initial value is 68

Part 3) The function rule to the linear model is y=\frac{17}{15}x+68

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

step 1

Find the slope

take two points from the table

(0,68) and (15,85)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{85-68}{15-0}

m=\frac{17}{15}

In a linear function , the slope is the same that the rate of change

therefore

The rate of change is \frac{17}{15}

step 2

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

Looking at the table

For x=0, y=68

therefore

The y-intercept is

b=68

The y-intercept is also called the initial value

therefore

The initial value is 68

step 3

Determine the function rule to the linear model

y=mx+b

we have

m=\frac{17}{15}

b=68

substitute

y=\frac{17}{15}x+68

8 0
3 years ago
How many quarters are there in<br> 7 3/4
Lana71 [14]

Answer:

31 quarters

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is 100×23+34-97=___-34+23
    12·1 answer
  • What is the prime factorization of 343
    15·1 answer
  • What does y equal? 5x+3y=1
    8·1 answer
  • Frank and Lynn are co-workers getting paid the same salary. They both decide to quit their jobs and start going to school on the
    5·2 answers
  • How Many Inches Are In 3yd 2ft ?
    9·1 answer
  • Solve for x. x2 + 4x - 21 = 0<br> A. -3, -7<br> B. -3, 7<br> C. 3, -7<br> D. 3, 7
    9·2 answers
  • What is 55/99 Rounded to the nearest half
    15·2 answers
  • WILL GIVE BRAINLIEST; I NEED ANSWERS ASAP
    7·1 answer
  • What is the mode interval for the set of data?<br> 60 - 69<br> 70 - 79<br> 80 - 89<br> 90 - 99
    8·1 answer
  • HELP I WILL GIVE BRAINLEST, 5 STARS, AND THANKS
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!