Answer:
(14+42) divided by 7+4= 12
Step-by-step explanation:
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Answer:
Step-by-step explanation:
a) Let the width = w
Two times its width = 2*w = 2w
9 inches less than 2w = 2w - 9
Length = 2w - 9
Area of rectangle = length *width = 180 square inches
(2w - 9 ) * w = 180
2w*w - 9*w = 180
2w² - 9w - 180 = 0
b) sum = -9
Product= -360
Factors = -24 , 15 {15 *[-24] = -360 and 15 + (-24) = -9 }
2w² - 9w - 180 = 0
2w² - 24w + 15w - 180 = 0
2w(w - 12w) + 15(w - 12) = 0
(w -12) (2w + 15) = 0
{Ignore 2w + 15 = 0 as measurements cannot be a -ve value}
w - 12 = 0
w = 12 inches
l = 2w -9
= 2*12 - 9
= 24 - 9
l = 15
length = 15 inches
Width = 12 inches
c) Perimeter = 2 *(length + width)
= 2*(15 + 12)
= 2 * 27
= 54 inches
Answer:
None of the equations are true for p = 3.4
Step-by-step explanation:
In order for the inequality to be valid we need to apply the value for p and check wether or not it is true. We gonna do for each of the following:
A. 3p < 10.2
3*3.4 < 10.2
10.2 < 10.2
Not true, since the left side is equal to the right side and not less.
B. 13.6 < 3.9p
13.6 < 3.9*3.4
13.6 < 13.26
Not true since 13.6 is greater than 13.26
C. 5p > 17.1
5*3.4 > 17.1
17 > 17.1
Not true since 17 is less than 17.1
D. 8.5 > 2.5p
8.5 > 2.5*3.4
8.5 > 8.5
Not true since the left side is equal to the right side.
A) Subtract A and C from both sides:
B = 180-A-C
B) Divide both sides by p and t:
r = i /pt
C) Divide both sides by PIh
r^2 = V/pih
Take the square root of both sides:
r = SQRT(V/pih)
D) Subtract ax from both sides:
by = c-ax
Divide both sides by b:
y = (c-ax)/b