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lukranit [14]
3 years ago
6

Find two consecutive numbers with a product of 121

Mathematics
1 answer:
Crank3 years ago
6 0
One number: x
Its consecutive:  x + 1

Product:

x(x+1)=121
x² + x - 121 = 0

Δ = 1² - 4.1.(-121)
Δ = 1+484
Δ = 485

As square root of 485 is not integer, do not exist two consecutive numbers with product of 121
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Leya [2.2K]
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A 14​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 9 fee
timama [110]

Answer:

10.7 feet

Step-by-step explanation:

The ladder, the ground and the wall form the shape of a right angled triangle as shown in the image below.

The hypotenuse of the triangle is 14 feet (length of ladder)

The base of the triangle is 9 feet long (the distance from the base of the ladder to the wall)

We need to find the height of the triangle. We can apply Pythagoras rule:

hyp^2 = a^2 + b^2

where hyp = hypotenuse

a = base of the triangle

b = height of the triangle

Therefore:

14^2 = 9^2 + b^2\\\\196 = 81 + b^2\\\\b^2 = 196 - 81 = 115\\\\b = \sqrt{115} \\\\b = 10.7 feet

The wall reaches 10.7 feet high.

3 0
4 years ago
A right triangle has a hypotenuse of length 9 inches. If one angle is 35 degrees, find the length of each leg.
Montano1993 [528]
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7 0
4 years ago
Identify the constants in the expression below.<br><br> 5x - 3y + 2x -15 +2y + 9
anzhelika [568]

Answer:

The constants are -15 and 9

Step-by-step explanation:

Constants are those numerical values that will never change, despite the value of x. The easiest way to find them are by finding those numbers that are not affecting x in any way.

5 0
3 years ago
Read 2 more answers
Cynthia has a photo frame that has a circumference of 56.52cm. What is the radius of the photo frame
Pavlova-9 [17]

Answer: 9cm

Step-by-step explanation:

The circumference of a circle is given as: = 2πr

where,

π = 3.142

r = radius = unknown

Since circumference = 56.52cm, we'll slot it into the formula which will be:

Circumference = 2πr

2πr = 56.52

2 × 3.142 × r = 56.52

6.284r = 56.52

r = 56.52 / 6.284

r = 8.99

r = 9cm approximately

6 0
3 years ago
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