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3 years ago

Plot −1, 7, and −9 on the number line.

Mathematics

1 answer:

gavmur [86]3 years ago

5 0

Do you have a number line for the question

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Yes, a binary tree can be a maxheap. Consider a binary search tree with two values 3 and 5, where 5 is at the root. The tree is

Alchen [17]

Answer:

3 and 5

Step-by-step explanation:

factor tree is more appropriate.

4 0

3 years ago

What is the area of the shaded portion of the circle? (16π – 32) in2 (16π – 8) in2 (64π – 32) in2 (64π – 8) in2

GrogVix [38]

Answer:

(16π - 32) in²

Step-by-step explanation:

In the picture attached, the circle is shown.

Area of one-quarter of circle = 1/4*Area of a circle = 1/4*π*radius² = 1/4*π*8² = 16π in²

Area of the triangle = 1/2*base*height = 1/2*8*8 = 32 in²

Shaded area = Area of one-quarter of circle - Area of the triangle = (16π - 32) in²

5 0

3 years ago

Find the volume of the cone in cubic feet. Use 3.14 for it and round your answer to the nearest tenth.

kenny6666 [7]

$\quad\hookrightarrow\quad \sf {5,790,806.5\:ft^3 }$

<h3>Ⲋⲟⳑⳙⲧⳕⲟⲛ:</h3>

Here, we area provided a cone with:

Radius = 48m
Height = 68 m

We have to find the volume of the cone in feet³, and we are given that 1m = 3.2808ft

<h3>Ⳙ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙⳑɑ:</h3>

The volume of a cone is equal to one third of the volume of a cylinder having the same base radius and height ,i.e:

$\quad\longrightarrow\quad \sf { V =\dfrac{1}{3}\pi r^2 h }$

Therefore, Volume:

$\implies\quad \tt {V = \dfrac{1}{3}\pi r^2 h }$

$\implies\quad \tt { V =\dfrac{1}{3}\times 3.14 \times 48^2 \times 68 }$

$\implies\quad \tt { V =\dfrac{1}{\cancel{3}}\times 3.14\times \cancel{2304} \times 68}$

$\implies\quad \tt {V =3.14\times 768\times 68 }$

$\implies\quad \tt {V = 163,983.36}$

$\implies\quad \tt { V = 163,983.36 \times (3.2808)^3 \qquad\quad\bigg[ As, \: 1m = 3.2808ft\bigg]}$

$\implies\quad \tt {V = 163,983.36\times 35.30 }$

$\implies\quad\underline{\pmb{ \tt { V = 5,790,806.5 ft^3}}}$

‎ㅤ‎ㅤ‎ㅤ~Hence, the volume of given cone is 5,790,806.5 ft³.

3 0

3 years ago

A plane is flying at 32, 460 feet. To avoid some turbulence, the plane ascends 1645 feet. It then descends 3/5 of its new height

aleksley [76]

Answer: C and E

Step-by-step explanation:

The plane starts at 32,460 feet.

It then ascends 1645 feet. Ascending means it's going up higher. So we add.

32,460 + 1645 = 34,105 (C)

From here (34,105 feet) the plane descends by 3/5 of it's height. Descending means it's lowering. So we subtract.

But first we have to figure out how much we are subtracting.

3/5 is equal to .6

Multiply to find 3/5 of current height.

34,105 × .6 = 20,463

So the plane descends by 20,463 feet.

34,105 - 20,463 = 13,642 feet (E)

3 0

4 years ago

Find the logarithm of the number 45318

MatroZZZ [7]

The logarithm of the number 45318 is 4.66.

8 0

4 years ago