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arlik [135]
3 years ago
13

Find the values of X and Y in an isosceles triangle where one angle is 47°

Mathematics
1 answer:
vladimir1956 [14]3 years ago
6 0

Answer:

X and Y = 66.5°.

Step-by-step explanation:

I am assuming that X and Y are the base angles, which are equal in an isosceles triangle.

X = Y = (180 - 47) / 2

=  66.5°.

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A storage tank holds 235,500 in^3 of a chemical. The chemical is dispensed to completely fill 25 identical cylindrical container
ololo11 [35]
Volume of a cylinder is given by V = πr^2h

Since the content of the storage tank completely filled the 25 identical cylinders, this means that the volume of the 25 cylinders combined is equal to the volume of the storage tank.

25(πr^2h) = 235,500
πr^2h = 235,500/25 = 9,420
h = 9,420/(3.14 x 5^2) = 9,420/78.5 = 120.

Therefore, the height of the cylinderical containers is 120 in
8 0
3 years ago
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Student to faculty is 17:3 The total is 740 how many students and faculty are at the college
inn [45]
Let the faculties be X and the number of students be Y.
X/Y = 17/3
3X= 17Y
X=17Y/3
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Substitute equation 1 in equation 2
(17Y/3)+Y=  740
20Y/3 = 740
Y=111
Since the total is 740, then X equal 740-111 =629.
The number of faculties is 111 and the number of students is 629.
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3 years ago
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3 years ago
Proving That All Circles Are Similar
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Answer:

Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another. In our attempt to prove all circles are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.

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