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Dominik [7]
3 years ago
8

A 189 square foot rectangular office has a length of 21 feet. What is the width of the office?

Mathematics
2 answers:
Marizza181 [45]3 years ago
6 0
189/21=9
The width is 9 ft
pochemuha3 years ago
4 0
width=x\\\\
Area=length*width\\\\
189=21*x\ \ \ | divide\ by\ 21\\
x=9feet\\\\
Width\ is\ equal\ to\ 9\ feet.
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The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find t
Alexeev081 [22]
Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8


Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.


Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

8 0
3 years ago
1. How many degrees is x<br> .x<br> 41<br> 82<br> 20.5<br> o<br> 41<br> О<br> 10
Alja [10]

Answer:

Option (1)

Step-by-step explanation:

By the inscribed angle theorem inside a circle,

"Measure of an inscribed angle is half the measure of the intercepted arc"

\frac{1}{2}[m(arc AB)] = m(∠ABC)

m(arc AB) = 2[m(∠ABC)]

x = 2(41°)

x = 82°

Option (1) is the correct option.

5 0
3 years ago
The radius of the larger circle is 10 cm. The radius of the smaller circle is 3 cm. What is the approximate area of the shaded r
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I just took the test the correct answer is 285.74 square centimeters 
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