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andreev551
2 months ago
13

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a heigh

t of 2 units, and the right cylinder has a height of 6 units. Which conclusion can be made from the given information?
A.) The volume of the triangular prism is half the volume of the cylinder. B.)The volume of the triangular prism is not equal to the volume of the cylinder.
C.)The volume of the triangular prism is twice the volume of the cylinder.
D.) The volume of the triangular prism is equal to the volume of the cylinder.
Mathematics
1 answer:
Inessa [12.5K]2 months ago
5 0
B.) The triangular prism does not have a volume that matches that of the cylinder.
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If tap and bre are supplementary and bre is its own complement, find the measure of tap. explain how you arrived at your answer
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Supplementary angles total 180°, while complementary angles sum to 90°. Given that ∠bre is the complement of itself, we can determine its measure using the equation: m∠bre + m∠bre = 90° which simplifies to m∠bre = 45°. For the relationship between ∠bre and ∠tap, we have: m∠bre + m∠tap = 180°, therefore 45° + m∠tap = 180°, leading to m∠tap = 135°. The measure of ∠tap is thus 135°. 
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Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,
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Answer:

51.15 cm

Step-by-step explanation:

Data provided

Basin has a depth of 40 centimeters

The angle of the sloping sides is 77°

The calculation for the shortest distance from the tip of the cone to its edge is detailed below:-

The angle will be split and is as follows

\frac{77^\circ}{2}=38.5^\circ

In the initial triangle, we will apply the "Cosine formula" as follows:-

\cos 38.5^\circ=\frac{Base}{Hypotenuse}

cos 38.5^\circ=\frac{40}{Hypotenuse}

\\\\0.782=\frac{40}{Hypotenuse}

\\\\Hypotenuse=\frac{40}{0.782}

=51.15\ cm

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Which situation most directly illustrates a possible outcome of a fiscal policy?
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Answer: B. The federal funding available for education declines.
Step-by-step explanation:
Government fiscal policy pertains to spending and taxation strategies aimed at influencing economic direction. Generally, it can be categorized into Expansionary or Contractionary policies. An Expansionary policy involves increasing government spending or lowering taxes to provide consumers with more disposable income. Conversely, a Contractionary policy implies decreasing spending or raising taxes. Thus, a decline in federal funds for education could result from a Contractionary fiscal approach.
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