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
Prove that for all integers a and b, if a mod 7 = 5 and b mod 7 = 6 then ab mod 7 = 2.
sergiy2304 [10]
Hello :
if : a <span>≡ 5 ( mod 7) ....(1)
     b </span><span>≡ 6 ( mod 7) ...(2)
(1)×(2) : ab </span><span>≡ 30 ( mod 7)
</span>but : 30 = 7×4  + 2  ..... so : 30  ≡ 2 ( mod 7)
then : ab ≡ 2 ( mod 7)
6 0
3 years ago
0.5, 1 1/ 4, 0.25, 3/ 8
Natalka [10]

Answer:

Are you supposed to change decimals to fractions and fractions to decimals?

If yes,

0.5 = 1/2

11/4 = 2.75

0.25 = 1/4

3/8 = 0.375

6 0
2 years ago
Use the information in the diagram to determine the height of the tree. The diagram is not a scale
dusya [7]
In the given diagram, we can note that the tree divides the hypotenuse of the triangle as well as the side where the tree is based into halves.

In a triangle, when a line is drawn joining between the midpoints of two sides, this line is always parallel to the third side and equals half its length.

Applying this concept to the given diagram here, we will find that the tree is joining the midpoints of two sides of the triangle. this means that the tree is parallel to the building and the height of the tree is half the height of the building.

Therefore:
height of tree = 0.5 * 120 = 60 ft
6 0
3 years ago
if the sum of the first 60 positive integers is s, what is the sum of the first 120 integers in terms of s? a. 2s 3600 b. s^2 36
kvasek [131]
For the first 60 positive integers, a = 1, n = 60, l = 60.
Sn = n/2(a + l)
s = 60/2(1 + 60) = 30(61)

For the next 60 positive integer, a = 61, n = 60, l = 120
Sum = 60/2(61 + 120) = 30(61 + 120) = 30(61) + 30(120) = s + 3600

Sum of first 120 positive integers = s + s + 3600 = 2s + 3600
6 0
3 years ago
Which of the following cannot be used to state a postulate?
liubo4ka [24]
Among the four choices, theorems is the best possible answer. Postulate, by definition, is a statement that is assumed to be true without proof while theorems are true statements that can be proven. Both of these types of statements are used to justify geometrical equations, illustrations and statements.
6 0
3 years ago
Other questions:
  • How is finding the factors of a number different from the prime factorization
    9·1 answer
  • The computer that controls a bank's automatic teller machine crashes a mean of 0.60.6 times per day. What is the probability tha
    6·1 answer
  • If f(x)=3x+7 and g(x)=2x-5 find g(f(-3))<br><br>A. -26 B.-9 C. -1 D. 10
    6·1 answer
  • What is the answer and formula for 7f+5=68
    12·1 answer
  • Solve the equation: 17 - 3(3 - 4x)-8 = -5(x=9) -6
    8·1 answer
  • Letter A company charges a flat rate of $129 (yearly) for AP and $7.99 for each HD movie rental.
    10·1 answer
  • In a lottery game, a player picks 8 numbers from 1 to 50. if 7 of the 8 numbers match those drawn, the player wins second prize.
    11·1 answer
  • What is the area of the shape below?<br><br> 39 yd2<br> 30 yd2<br> 36 yd2<br> 24 yd2
    15·1 answer
  • What is 35% of 40 <br> Plz help me
    7·2 answers
  • What is x? 60 or 100
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!