A triangle has sides 17 cm, 12 cm and 11 cm. If the altitude to the 11 cm side is 11.95 cm, what is the length of the altitude to the 17 cm side? Round your answer to one decimal place.
What will be an ideal response?
7.7 cm
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Provide an appropriate response.i) Show that diverges, and hence
diverges.ii) Show that
= 0.
What will be an ideal response?
Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.log2
A. log2m +
log2n -
log2k
B. 5 log2m + 9 log2n - 2 log2k
C. log2m +
log2n - 2 log2k
D. log2m ?
log2n ÷ 2 log2k
Find the measure of an angle that has the specified description.Congruent to an angle with measure 55°
A. 35° B. 55° C. 215° D. 125°
An open rectangular box having a volume of 62.5in3 is to be constructed from a tin sheet. Find the dimensions of such a box if the amount of material used in its construction is to be minimal.
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Hint: Let the dimensions of the box be x by y by z. Then, xyz = 108 and the amount of material used is given by S = xy + 2yz + 2xz. Show that
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Minimize f(x, y)
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x = __________
?
y = __________
?
z = __________
What will be an ideal response?