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
erastova [34]
3 years ago
12

Please explain the answer​

Mathematics
1 answer:
Phantasy [73]3 years ago
7 0

Answer:

  yes

Step-by-step explanation:

The side lengths satisfy the Pythagorean theorem, so the triangle is a right triangle.

  7.5² +10² = 12.5²

  56.25 +100 = 156.25

_____

You may recognize that the ratios of side lengths are ...

  7.5 : 10 : 12.5 = 3 : 4 : 5

A 3-4-5 triangle is a well-known right triangle, as this is the smallest set of integers that satisfy the Pythagorean theorem. They also happen to be consecutive integers, so form an arithmetic sequence. Any arithmetic sequence that satisfies the Pythagorean theorem will have these ratios.

_____

If you're familiar with trigonometry, you know the law of cosines tells you ...

  c² = a² + b² - 2ab·cos(θ) . . . . where θ is the angle between sides a and b. This reduces to the Pythagorean theorem when θ=90°, which makes cos(θ)=0. If the sides do not satisfy the Pythagorean theorem, cos(θ)≠0 and the triangle is not a right triangle.

You might be interested in
Mr Stephen saved 350 rupees per month how much money will he save in 3 years​
xz_007 [3.2K]

Answer:

the answer to that question is 12,600 rupees

4 0
2 years ago
The average annual cost of tuition, room, and board for
lorasvet [3.4K]

Answer:

Step-by-step explanation: solve it plz

3 0
3 years ago
4. Sam's parents are teachers who commute 45 miles roundtrip to work 5 2 days a week. His parents spend $38 on gasoline each wee
Marat540 [252]
<h2>Answer:</h2><h2>The correct option is d. (i) and (ii)</h2>

Step-by-step explanation:

The total miles covered per day = 45

No of commuting days in a week = 5

Total miles in a week = 45 * 5 = 225

The total amount spent on gasoline = $ 38

Cost of gasoline per gallon = $ 2.48

The number of gallons consumed per week = \frac{38}{2.48} = 15.32 gallons of gasoline per week.

This confirms (ii) statement

The amount spend on gasoline per mile = \frac{38}{225} = $0.17

This confirms (i) statement

The number of miles per gallon of gasoline = \frac{225}{15.32} = 14.68 miles

The statement (iii) is false.

7 0
3 years ago
X + 1 &gt; 8<br> whats the answer
natka813 [3]

Answer:

x can = anywhere from 8 to infinite because x has to be greater than 8 at least  

Step-by-step explanation:

8 0
3 years ago
HELP please this is a TEST!!
stealth61 [152]
The answer is y=-3/2x +3 so D
8 0
3 years ago
Other questions:
  • Which shows the dimensions of two rectangular prisms that have volumes of 240 ft3 but different surface areas?
    12·1 answer
  • 35.5 divided by 10 to that zero post power
    7·1 answer
  • Intersecting lines are ________ coplanar.<br><br> never<br> sometimes<br> always
    14·2 answers
  • Help for Number 2 ?????
    8·1 answer
  • What property is shown in step 8?
    8·1 answer
  • Vitamin D, whether ingested as a dietary supplement or produced naturally when sunlight falls on the skin, is essential for stro
    10·1 answer
  • Hiiioo could someone please help me please ❤️if not that’s otay tooo
    5·1 answer
  • A bag contains 40 red and green marbles. The number of green marbles, g, is 9 times the number of red marbles, r. How many red m
    15·2 answers
  • Determine the solutions to the following equation.
    6·2 answers
  • I buy a bed which normally costs £270 on a scheme where the price of the bed is increased by 60% but I only pay back £18 a month
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!