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
barxatty [35]
3 years ago
9

An orange triangular warning sign by the side of the road has an area of 266 square inches. The base of the sign is 9 inches lon

ger than the altitude. Find the measurements of the base and altitude.
Mathematics
1 answer:
pashok25 [27]3 years ago
5 0

Answer: the base is 28 inches. The altitude is 9 inches

Step-by-step explanation:

Let h represent the altitude of the sign.

Let b represent the length if the base of the sign.

The warning sign is triangular in shape.

The formula for determining the area of a triangle is expressed as

Area = 1/2bh

The base of the sign is 9 inches longer than the altitude. This means that

b = h + 9

If the area of the sign is 266 square inches, it means that

266 = 1/2 × h(h + 9)

266 × 2 = h(h + 9)

532 = h² + 9h

h² + 9h - 532 = 0

h² + 28h - 19h - 532 = 0

h(h + 28) - 19(h + 28) = 0

h(h + 28) - 19(h + 28) = 0

(h + 28)(h - 19) = 0

h = 19 or h = - 28

Since the height cannot be negative, then h = 19

b = h + 9 = 10 + 9

b = 28

You might be interested in
A game board with 17 spaces. Start, green, green, star, quesiton mark, question mark, star, question mark, green, cat town, gree
soldi70 [24.7K]

Answer:

2nd option

4th option

5th option

Step-by-step explanation:

correct on E D G E N U I T Y

3 0
3 years ago
Read 2 more answers
Can anyone help me ???
tia_tia [17]

1.57, divide two times pi (3.14)

3 0
3 years ago
I’ll give brainliest!
iren [92.7K]

Answer:

okay ans is A(w)=w2+5w-1/8piw2

6 0
2 years ago
For spring break this year your family decided to visit Michigan, but it snows the first weekend you are there. You decide to ma
attashe74 [19]

Answer:

The correct answer to this question is A) 19 cubic feet of snow

Step-by-step explanation:

To solve this, use the equation V = 4/3 (π r^3) to get the volume of each. Then add all the volumes together: (1ft x3.14) + (2ft x3.14) + (3ft x3.14). You will get 19 cubic feet of snow. This is how much snow is needed to build the whole snowman.

7 0
3 years ago
How many years will it take for Steven to make a total of $21,200?
Triss [41]
The answer would be 10
3 0
3 years ago
Other questions:
  • A RAID can fail if two or more of its drives crash within a short time interval. Suppose that the probability of one drive crash
    8·1 answer
  • For lines c, d, and e.
    6·1 answer
  • I need help with this
    13·1 answer
  • Write each 37412 correct to 3 significant figures
    13·1 answer
  • What is 6,333 rounded to the nearest thousand
    10·2 answers
  • Please help, only if you know though thank you
    5·1 answer
  • List what you are thankful for! (It's Thanksgiving! Answer if you bake! Or if you like cakes pies cookies and treats!!! )
    6·2 answers
  • PLS HELP WILL GIVE BRAINEST
    9·2 answers
  • Please solve this problem
    14·2 answers
  • Help me fast!!!!!!!I need to finish this by next period
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!