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
SashulF [63]
1 year ago
15

TASK 3

Mathematics
1 answer:
Fofino [41]1 year ago
8 0

The area will be equal to Area = (28)(21) / 2 = 294 square inches.

<h3>What is the area?</h3>

To determine the area of a triangle, we calculate one half of the product of the base and the height of the triangle so we need data on its base and its height. We are given the following:

Hypotenuse = 7 + base = 14 + height

Perimeter = 84 inches

The perimeter of the triangle is equal to the sum of the three sides of the triangle which are the height, base and hypotenuse. So,

Perimeter = height + base + hypotenuse = 84

We let x = height and y = base. We calculate area as follows:

84 = x + y + (7 + y)

77 = x + 2y

x = 77 -2y

The Hypotenuse is related to the other sides by the Pythagorean theorem.

Hypotenuse^2 = (x^2 + y^2)

(14 + x)^2 = x^2 + y^2

(14 + (77-2y))^2 = (77-2y)^2 + y^2

(91-2y)^2 = (77-2y)^2 + y^2

Solving for y and x

y = 28

x = 21

Area = (28)(21) / 2 = 294 square inches

To know more about the area follow

brainly.com/question/3948796

#SPj1

You might be interested in
7g - 6 = -20 what is the answer
Brut [27]

7g - 6 = -20

Add 6 to both sides

7g = -14

Divide both sides by 7
g = -2


answer: g = -2

7 0
2 years ago
Read 2 more answers
The difference of five times a number and six is fourteen. Find the number
AysviL [449]

Answer:

x=4

Step-by-step explanation:

Problem set up is: 5x-6=14

5x=20

x=4

3 0
3 years ago
Read 2 more answers
A small business reported a net loss of $45 in January and a gain of $55 in February. What is the company's net profit?
frozen [14]
Gain - loss = profit
55- 45 = $10 net profit
5 0
2 years ago
What is 2.6 * 10 ^ 5 written in standard notation? A. 26, 000 O B. 2, 060, 000 O C. 20,600 O D. 260, 000 O E. 2, 600, 000 O F. 2
noname [10]

Answer:260000

Step-by-step explanation:

4 0
3 years ago
Input the equation of the given line in standard form.
noname [10]

Answer:

y = 2/3x + 1/3

Step-by-step explanation:

Standard form of a line looks like y=mx+b. We already know that m is 2/3, but we don't know b. b is our y-int. With the given information, we can write this equation is point-slope form. That looks like y - y1 = m(x-x1). (x1, y1) = (1, 1) - the point given to us. So if you plug in that point to the equation, and the slope - m, it'll look like y - 1 = 2/3 (x - 1).

From here, you can just solve for y, and it'll be in standard form. I would distribute 2/3 first.

y - 1 = 2/3x - 2/3

Then, add 1 to both sides.

y = 2/3x + 1/3

4 0
3 years ago
Other questions:
  • What is the value of the expression (-8/9) divided by (-2/3) multiplied by (-4 1/2)
    15·1 answer
  • X to the 2nd power+10 EVALUATE IF x=5 <br><br> please help i have no braincells
    12·1 answer
  • A smartphone costs ​$120. Sales tax is 5​%. What is the total​ cost, including​ tax?
    14·1 answer
  • PLEASSEEEEEE HELLLPPPP PLEASE
    7·1 answer
  • F(x)=x*2 what is g(x)?
    11·2 answers
  • Find the exact value of sec theta if csc theta = -4/3 and the terminal side of theta lies in quadrant III
    11·1 answer
  • Inequality x less than 5
    8·1 answer
  • Add (8b - 7) + (6b + 8) simplify the answers. Pls show steps
    10·1 answer
  • A recipe for pie please help me please
    7·2 answers
  • Does anyone know how to write an equation for two points of (0,-3) and (8,-5) PLEASE HELP
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!