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
storchak [24]
3 years ago
11

A right-angled triangle has sides of lengths (x+5)cm, (x-3)cm and 9cm. Calculate the value of x

Mathematics
1 answer:
Arturiano [62]3 years ago
6 0

Answer:

x=4.0625 cm

Step-by-step explanation:

The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.

Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:

(x+5)^2= 9^2+(x-3)^2

(x^2+10x+25)=81+(x^2-6x+9)

x^2+10x+25=81+x^2-6x+9

16x=65

x=4.0625

Checking:

(4.0625+5)^2=9^2+(4.0625-3)^2

82.1289=82.1289

You might be interested in
Use The Scale Factor 1:12 To Find The Missing Dimension
adell [148]

Answer:

The length of the model is 21 inches

Step-by-step explanation:

we have

The scale factor

\frac{1}{12}

That means

1 unit in the model represent 12 units in the actual

1 inch in the model represent 12 inches in the actual

Remember that

1\ ft=12\ in

so

1 inch in the model represent 1 ft in the actual

The scale factor is

\frac{1}{1}\ \frac{in}{ft}

therefore

21 ft in the actual represent 21 inches in the model

6 0
2 years ago
Help, is this correct?
Ronch [10]

Answer:

Yes good job!

Step-by-step explanation:

4 0
2 years ago
Write 171 miles in 3 hours as a unit rate
rewona [7]
171 ÷ 3 = 57

So, that means it's 57 mph
7 0
3 years ago
What is the area of this polygon?
Ivahew [28]
The above polygon is a pentagon 
The polygon has a rectangle and a triangle 
Area of triangle FSCW
 = Length × width
 =  9 × 2
 = 18 square units
area of triangle FNS
 = 1/2 × base× height
 = 1/2 × 9 × 6
  = 27 square units
Therefore the area of the polygon is
   = 27 + 18
   = 45 square units
4 0
3 years ago
Read 2 more answers
Calculate the annual simple interest rate as a percent. A sum of money will be tripled in 25 years at the rate of __% per annum.
bixtya [17]

Step-by-step explanation:

Let x be the principal amount.

Simple Interest Formula:

a = p(1 + rt)

where a = final amount

p = principal amount

r = annual interest rate

t = time taken in years.

given a = 3x, p = x, t = 25, substitute a,p and t into formula.

3x =  x(1 + 25r) \\ 1 + 25r = 3 \\ 25r = 3 - 1 \\ 25r = 2 \\ r = 2 \div 25 \\  = 0.08 \\  = (0.08 \times 100)percent \\  = 8percent

8%*

6 0
2 years ago
Other questions:
  • 4 (x+2) as a word phrase
    5·2 answers
  • What statement makes the open sentence 3x+9=24 true? A. X=3 B. X=5 C.X=11 D.X=15
    13·1 answer
  • 2 – (–8) + (–3) = ?
    13·1 answer
  • Which of the 4 is correct
    8·1 answer
  • Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
    6·2 answers
  • A pet supplier has a stock of parakeets of which 20% are blue parakeets. A pet store orders 3 parakeets from this supplier. If t
    9·1 answer
  • To avoid detection at customs, a traveler has placed 6 narcotic tablets in an Urn containing 9 vitamin pills that are similar in
    8·1 answer
  • Which statement is true? 1) The y-value of Function A when x=-1 is greater than the y-value of Function B when x=-1. 2) The y-va
    7·2 answers
  • 12.54 + (-24.673)<br><br><br> What’s the answer if you compute?
    12·1 answer
  • 16 more than craigs score is 62
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!