The value of p that makes the given equation true is equal to: B. p = -5
<u>Given the following equation:</u>
To find a value of p that makes the given equation true:
In this exercise, you're required to determine a value of p that satisfies the given equation true such that when substituted into the equation, it has a true result or outcome.
Rearranging the equation by collecting like terms, we have:
p = -5
Find more information: brainly.com/question/3600420
Answer:
B. 95º
Step-by-step explanation:
Supplementary angles are ones that add up to 180º.
So if angle 1 is 85º, then the equation would be:
(x-the measure of angle 2)
X + 85 = 180
Solve for x:
X + (85-85) = 180-85
X = 95.
Hope this helps! Have a great day!
Answer:
<h2><em>
2ft by 2ft by 1 ft</em></h2>
Step-by-step explanation:
Total surface of the cardboard box is expressed as S = 2LW + 2WH + 2LH where L is the length of the box, W is the width and H is the height of the box. Since the cardboard box is without a lid, then the total surface area will be expressed as;
S = lw+2wh+2lh ... 1
Given the volume V = lwh = 4ft³ ... 2
From equation 2;
h = 4/lw
Substituting into r[equation 1;
S = lw + 2w(4/lw)+ 2l(4/lw)
S = lw+8/l+8/w
Differentiating the resulting equation with respect to w and l will give;
dS/dw = l + (-8w⁻²)
dS/dw = l - 8/w²
Similarly,
dS/dl = w + (-8l⁻²)
dS/dw = w - 8/l²
At turning point, ds/dw = 0 and ds/dl = 0
l - 8/w² = 0 and w - 8/l² = 0
l = 8/w² and w =8/l²
l = 8/(8/l² )²
l = 8/(64/I⁴)
l = 8*l⁴/64
l = l⁴/8
8l = l⁴
l³ = 8
l = ∛8
l = 2
Hence the length of the box is 2 feet
Substituting l = 2 into the function l = 8/w² to get the eidth w
2 = 8/w²
1 = 4/w²
w² = 4
w = 2 ft
width of the cardboard is 2 ft
Since Volume = lwh
4 = 2(2)h
4 = 4h
h = 1 ft
Height of the cardboard is 1 ft
<em>The dimensions of the box that requires the least amount of cardboard is 2ft by 2ft by 1 ft</em>
Answer:
VW=36
VT=27
Step-by-step explanation:
VW is the midsegment of the triangle
so
VW=72/2
=36
VXT is a right angle triangle
so
a²+b²=c²
a=√c²-b²
a=√45²-36²
a=√(45-36)(45+36)
a=√9×81
a=√9×√81
a=27
therefore
VT=27
