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
bagirrra123 [75]
3 years ago
7

The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.

Mathematics
1 answer:
Crazy boy [7]3 years ago
6 0

Answer:

SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.

The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4

The hypotenuse is 8inches longer than the shorter leg:  c = a + 8

 

Use the Pythagorean Theorem:

 

a2 + b2 = c2

a2 + (a+4)2 = (a+8)2

a2 + a2 + 8a + 16 = a2 + 16a + 64

a2 - 8a - 48 = 0

 

Factors to:

 

(a-12)(a+4) = 0

a = 12, -4

 

Since we can't have a side of -4, a = 12

Shorter Leg = 12 inches

Longer Leg = 12 + 4 = 16 inches

Hypotenuse = 12 + 8 = 20 inches

You might be interested in
Help me please And ty
anastassius [24]
The answer is three.
6 0
3 years ago
Someone answer my question Answer ASAP will mark brainliest I promise
aleksley [76]

Answer:

1. x=13   2. x=9  3. y=10

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A $10,000 deposit at the bank will double in value in 9 years. Give a formula for the accumulated amount t years after the inves
wolverine [178]

Answer:

S = P(1.08)^{t}

Step-by-step explanation:

A $10,000 deposit at the bank will double in value in 9 years.

If the interest is r% and it is compounded each year, then we can write from the formula of compound interest that

20000 = 10000(1 + \frac{r}{100})^{9}

⇒ 2 = (1 + \frac{r}{100})^{9}

⇒ 1 + \frac{r}{100} = 1.08

⇒ r = 8%

Therefore, the formula for the accumulated amount t years after the investment is made will be  

S = P(1 + \frac{8}{100})^{t} = P(1.08)^{t}  

where, P is the invested principal and S is the accumulated sum. (Answer)

3 0
3 years ago
What is the factor of 40,24,16
nekit [7.7K]
There are many factors of 40, 24, and 16

All three numbers are divisible by 2, 4, and 8

Hope this helps
7 0
3 years ago
Angie is on a road trip, and is reading a map that has a scale of 1 in: 40 miles. Her trip measures 5.5 inches on the map. What
WARRIOR [948]

Answer:

A. 220 miles

Step-by-step explanation:

You can multiply to find the answer. 5.5 times 40 = 220 miles.

7 0
2 years ago
Other questions:
  • Tom went on a bike to the store 3 miles away. If it took Tom 1/2 of an hour to get there and 2/3 of an hour to get back , what w
    14·1 answer
  • What is the expected number of heads that come up when a fair coin is flipped 10 times?
    14·1 answer
  • Janine who bought $15 worth of make-up spent $6 less than Leah spent
    7·1 answer
  • Find the length of the side of a square with area 225 square units
    7·1 answer
  • Help me please what is the answer for this
    14·1 answer
  • Trigonometry: Angles and Length Escape Room (level 3)
    8·1 answer
  • Two fair 6-sided dice are rolled one at a time. Find the probability that
    9·1 answer
  • (50 points really need help on this it's the last question)
    12·2 answers
  • Solve the equation for x.
    8·1 answer
  • Please help me out. Don't answer if you don't know the answer. NO LINKS!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!