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Alenkinab [10]
3 years ago
5

The surface area of a figure is 736 in^2. If the dimensions are multiplied by 22, what will be the surface area of the new figur

e?
Mathematics
1 answer:
coldgirl [10]3 years ago
3 0

Answer:

<h2>         356 224 in²</h2>

Step-by-step explanation:

If the dimansions of a figure are multiplied by 22 then its surface is multiplied by 22²

736 in²·22² = 736 in²·484 = 356 224 in²

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For what values of b are the vectors \langle -46, b, 10 \rangle and \langle b, b^2, b \rangle orthogonal
Jet001 [13]

Answer:

b = 6 or b = -6 (non-zero vectors)

b = 0 (zero vector)

Step-by-step explanation:

Two vectors \vec{a}=\langle a_1,a_2,a_3\rangle and \vec{b}=\langle b_1,b_2,b_3\rangle are orthogonal if their dot product is equal to 0, or in other words

a_1\cdot b_1+a_2\cdot b_2+a_3\cdot b_3=0

In your case,

\vec{a}=\langle -46, b, 10\rangle\\ \\\vec{b}=\langle b,b^2,b\rangle

Hence, if vectors a and b are orthogonal, then

-46\cdot b+b\cdot b^2+10\cdot b=0\\ \\-46b+b^3+10b=0\\ \\b^3-36b=0\\ \\b(b^2-36)=0\\ \\b(b-6)(b+6)=0\\ \\b=0\text{ or }b=6\text{ or }b=-6

Note, then if b = 0, then \vec{b}=\langle 0,0,0\rangle and zero-vector is orthogonal to any other vectors.

Thus, b = 6 or b = -6.

7 0
3 years ago
In the graph above, the coordinates of the vertices of TUV are T(4, 4), U(2, –2), and V(6, –2). If TUV is reflected across the y
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5 0
4 years ago
Read 2 more answers
I need both the work and answers the these . They are due tomorrow so please hurry
IgorC [24]
4) 41% of 78 is what?
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Work:
x = 41/100 x 78
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Explanation:
Let the number be = x

58/100 (x) = 63.4
x = 63.4 x (100/58)
x = 6340/58
x = 109.31
4 0
3 years ago
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