Answer for #1:
The number of square tiles required to cover the bathroom floor is approximately 31.
Answer for #2:
2/3
Answer:
f(x) = (x + 10)(x + 4)(x - 1)
Step-by-step explanation:
Given the zeros of a polynomial, say x = a and x = b, then
the factors are (x - a) and (x - b)
The polynomial is then the product of the factors
f(x) = (x - a)(x - b)
Here the zeros are x = - 10, x = - 4 and x = 1, thus the factors are
(x - (- 10)), (x - (- 4)) and (x - 1), that is
(x + 10), (x + 4) and (x - 1)
f(x) = (x + 10)(x + 4)(x - 1)
Part 3) <span>Given triangle XYZ as shown at right find YZ rounded to the nearest tenth
we know that
</span><span>the sum of the internal angles of a triangle add up to 180 degrees
</span>so
m∠X=180-[55+29]----> 96°
applying the law of sines
YZ/sin X=35/sin 55°------> YZ=35*sin 96/sin 55-----> YZ=42.49
YZ=42.5 units
the answer Part 3) isYZ=42.5 unitsPart 4)
we know that
OQ/NQ=PR/NR
NQ=4X+(2X+2)---> 6X+2
OQ=2X+2
PR=15
NR=24+15----> 39
(2X+2)/(6X+2)=15/39
39*(2X+2)=15*(6X+2)
78X+78=90X+30
90X-78X=78-30
12X=48
X=4
The answer part 4) isx=4Part 5) A trapezoid is show below. Calculate the measure of angle x. Round to the nearest tenth of a degree
see the picture with letters attached to better understand the problem
we know that
BC=36-28-----> 8 ft
sin x=BC/AC-----> sin x=8/12
x=arc sin(8/12)-------> x=41.81°------> x=41.8°
the answer Part 5) isx=41.8°
The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
<h3>How to determine the circle equation?</h3>
The center of the circle is given as:
Center, (a,b) = (-4,9)
The diameter is given as:
d = 10
Calculate the radius (r)
r = 10/2 = 5
The circle equation is then calculated using:
(x - a)² + (y - b)² = r²
So, we have:
(x + 4)² + (y - 9)² = 5²
Expand
x² + 8x + 16 + y² - 18y + 81 = 25
Collect like terms
x² + y² + 8x - 18y + 16 + 81 - 25 = 0
Evaluate
x² + y² + 8x - 18y + 72 = 0
Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
Read more about circle equations at:
brainly.com/question/1559324