For triangle a use Pythagorean theorem to find the hypotenuse.
A^2+b^2=c^2
15^2+9^2=c^2
225+81=306
C^2=306
C=17.49 or square root of 306
For b) 18^2+B^2=23^2
324+B^2=529
B^2=205
B=14.32 or square root of 205
<u>Define x:</u>
Let x be the width of the border
Length of the rug = 15 -2x
Width of the rug = 12 -2x
Area of the rug = (15 - 2x)(12 - 2x)
<u>Construct equation:
</u>
Given that the area of the rug os 108 ft²
(15 - 2x)(12 - 2x) = 108
Apply distributive property:
180 - 20x - 24x + 4x² = 108
Collect all terms on the left hand side:
4x² - 44x + 72 = 0
Factorise:
x² - 11x + 18 = 0
<span> (x - 2) (x - 9)
Apply zero product property:
x = 2 or x = 9
<u>Check x:
</u>
When x = 9,
Width = 12 - 9 - 9 = -6
</span>⇒ <span>x = 9 is rejected since width cannot be negative
When x = 2
Length = 15 - 2 - 2 = 11 ft
Width = 12 - 2 - 2 = 8 ft
Answer: The border is 2 feet wide.
</span>
there is 128 fluid ounces per gallon so 1.5 gallons = 1.5 x 128 = 192 fluid ounces
Scotts cap holds 3 ounces so 192/3 = 64
Nikkis cap holds 4 ounces so 192/4 = 48
64-48 = 16 more caps for Scott
Answer: -20
Step-by-step explanation: Using the same expression except positive numbers, 4 x 5 = 20.
In this case, we can use this equation to find the product for the expression
4 x -5.
If 4 x 5 = 20, then 4 times -5 will also equal 20. However, since there is a negative factor in this expression, our answer will be negative causing our answer to be <u>-20.</u>
Answer:
5747
Step-by-step explanation:
cause if you put its all up it gets that. ( if correct could you braniist me pls)