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Kitty [74]
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. Give your answer to 3 significa

nt figures. (Quadratic Formula)

Mathematics
1 answer:
lina2011 [118]3 years ago
7 0

Answer:

x = (3.95 and -5.95)

Step-by-step explanation:

Given:

Hypotenuse = 9 cm

Perpendicular = (x+5) cm

Base = (x-3) cm

Find:

Value of x

Computation:

Using Pythagoras theorem

Hypotenuse² = Perpendicular² + Base²

9² = (x+5)² + (x-3)²

81 = x² + 25 + 10x + x² + 9 - 6x

2x² + 4x - 47 = 0

Quadratic Formula

x = [-b±√b²-4ac] / 2a

x = [-4±√16+376] / 2(2)

x = (3.95 and -5.95)

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Zubin drew a circle with right triangle PRQ inscribed in it, as shown below: The figure shows a circle with points P, Q, and R o
iris [78.8K]

The measure of angle PQR when Zubin drew a circle with right triangle will be 65°.

<h3>How to find the measure of the angle?</h3>

From the information given, when Zubin drew a circle with right triangle, arc QR measures 50 degrees.

Therefore, the measure of angle PQR will be:

= 180° - 90° - (1/2 × 50°)

= 180° - 90° - 25°

= 65°

In conclusion, the angle is 65°.

Learn more about circle on:

brainly.com/question/24375372

7 0
2 years ago
Find the distance between points P(6, 5) and Q(2, 4) to the nearest tenth.
trasher [3.6K]

Answer:

√10

Step-by-step explanation:

√(x2-x1)^2+(y2-y1)^2=√10

3 0
3 years ago
Find the quotient. 64 ÷ 32 =
Viktor [21]

Answer:

64÷32=2.

Step-by-step explanation:

if you add 32+32 it's 64, so that means 32x2=64 and yeahhh

6 0
3 years ago
You buy books for 64 cents each, you plan to sell them for 75 cents each. You're left with 100 unsold books, and you lost $12. H
PSYCHO15rus [73]

The number of books sold is 473.

<u>Step-by-step explanation:</u>

  • The original cost of each book = $0.64
  • The selling price of each book = $0.75

The difference between the original price and selling price of the book gives the profit per book.

The profit of one book = Selling price - Original price

Let,

  • The total number of books be 'x'.
  • The number of books sold be 'y'.
  • The unsold books is 100.
  • The total profit is -12 because it was gone to a loss of $12.

Therefore, the equation is formed as

total Profit = 0.75y - 0.64x

⇒ 0.75y - 0.64x = -12 --------(1)

Total books = sold books + unsold books

x = y + 100

⇒ x-y = 100  -------(2)

Substitute x= 100+y in the eq(1),

0.75y - 0.64(100+y) = -12

0.75y - 64 -0.64y = -12

0.11y = -12 +64

y = 52 / 0.11

y = 472.7

y ≅ 473

The number of book sold is 473 books.

The total number of books is (100+473) = 573 books.

8 0
4 years ago
<img src="https://tex.z-dn.net/?f=b%5E%7B2%7D%20%2B8b%2B7" id="TexFormula1" title="b^{2} +8b+7" alt="b^{2} +8b+7" align="absmidd
Ann [662]
The answer really depends on what b is. Unless you give me a number for what b equals I can’t solve it.
5 0
3 years ago
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