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3 years ago

Please someone help me with this... and please thouroughly explain, i have no clue what to do.

Mathematics

1 answer:

Arlecino [84]3 years ago

5 0

144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.

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Someone help me solve 10-16 please thank you!

SVEN [57.7K]

Answer:

Part 10)

a) $OM=46\ units$

b) $PN=23\ units$

c) $ON=23\sqrt{2}\ units$

d) $MN=23\sqrt{2}\ units$

Part 12) x=11

Part 14) see the explanation

Step-by-step explanation:

Part 10) we know that

In a square all four sides are congruent

The diagonals of a square are congruent and bisect each other at right angles

Part a)

Find the length of diagonal OM

we know that

$OM=LN$ ---> the diagonals are congruent

we have

$LN=46\ units$

therefore

$OM=46\ units$

Part b)

Find the length of PN

we know that

$PN=PL$ ---> remember that the diagonals bisect each other

$PN=\frac{LN}{2}$

we have

$LN=46\ units$

substitute

$PN=\frac{46}{2}=23\ units$

Part c)

Find the length of ON

Applying the Pythagorean Theorem

$OM^2=ON^2+MN^2$

we know that

$ON=MN$ ----> remember that all four sides are congruent

$OM^2=2ON^2$

$OM=46\ units$

substitute

$46^2=2ON^2$

$2,116=2ON^2$

$1,058=ON^2$

$ON=\sqrt{1,058}\ units$

simplify

$ON=23\sqrt{2}\ units$

Part d)

Find the length of MN

we know that

$MN=ON$ ----> remember that all four sides are congruent

we have

$ON=23\sqrt{2}\ units$

therefore

$MN=23\sqrt{2}\ units$

Part 12) we know that

The diagonals of a square bisect its angles

Remember that the interior angles of a square is 90 degrees

$(6x-21)\°=45\°$

solve for x

$6x=45+21\\6x=66\\x=11$

Part 14) we know that

A parallelogram has opposite parallel sides, so a parallelogram will always have consecutive supplementary angles.

The rectangle, rhombus and a square are all parallelograms

therefore

parallelograms, rectangles,rhombi and squares will always have consecutive supplementary angles.

7 0

4 years ago

The perimeter of a rectangle is 26 inches. The length of the rectangle is 7 more than its width. What is the area of the rectang

mars1129 [50]

Answer:30

Step-by-step explanation:the perimeter is 26 and the length is 7 more than the width so you subtract 14 for both the sides of the rectangle from the perimeter and are left with 12 so you divide that by 4 for the 4 sides of the rectangle and get 3 so the width is 3 and the length is 10.

3 0

3 years ago

Find the number of vertices of a prism whose cross-section is a 60-sided polygon

pychu [463]

Answer:

A prism whose cross-section is a 60-sided polygon has 120 vertices.

Step-by-step explanation:

A polygon has the same quantity of sides and vertices, as a prism has two poligonal faces, the number of vertices is double the quantity of vertices of the 60-sided polygon. That is:

$x = 2 \cdot (60)$