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3 years ago

Which segment is the altitudes of the pyramid?

Mathematics

2 answers:

Fittoniya [83]3 years ago

6 0

The altitude of a pyramid is the perpendicular distance from the vertex to the plane of the base.

NikAS [45]3 years ago

5 0

Altitude of a pyramid is the perpendicular distance from the vertex to the plane of the base. Base can be regular or irregular in pyramid. In regular pyramid, altitude and the slant height of a pyramid are not the same as the slant height is the length of the face of the pyramid. Altitude meets the base at its center.

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People produce 5,650,00 card each year Ben wrote that they make 6,550,000 cars. What mistake did he make and how can u fix it? :

Masja [62]

How much more does it need to, get to 6,550,000?

7 0

3 years ago

A fraction as a mixed number 20 / 10

ladessa [460]

Answer:

Step-by-step explanation:

To find the mixed number you divide the numerator (top number) by the denominator (bottom number), which would be 20 divided by 10. There is no remainder so your answer is simply 2.

8 0

3 years ago

A cup has the shape of a right circular cone. The height of the cup is 12 cm, and the radius of the opening is 3 cm. Water is po

Leviafan [203]

Answer:

The rate at which the water level is rising when the depth of the water in the cup is 5 centimeters is approximately 0.407 centimeters per second.

Step-by-step explanation:

From Geometry, we find that the volume of the cone ( $V$ ), measured in cubic centimeters, is defined by the formula:

$V = \frac{\pi\cdot \cdor r^{2}\cdot h}{3}$ (Eq. 1)

All right circular cone satisfies the following relationship:

$\frac{h}{r} = \frac{h_{max}}{r_{max}}$

$r = \left(\frac{r_{max}}{h_{max}} \right)\cdot h$ (Eq. 2)

Where:

$r$ - Radius of the right circular cone, measured in centimeters.

$h$ - Height of the right circular cone, measured in centimeters.

By applying (Eq. 2) in (Eq. 1), we get the following formula:

$V = \frac{\pi}{3} \cdot \left(\frac{r_{max}}{h_{max}} \right)^{2}\cdot h^{3}$ (Eq. 1b)

Given that $r_{max}$ and $h_{max}$ are constant, we get the rate of change for the volume of the right circular cone ( $\dot V$ ), measured in cubic centimeters per second:

$\dot V = \pi\cdot \left(\frac{r_{max}}{h_{max}} \right)^{2}\cdot h^{2}\cdot \dot h$ (Eq. 2)

Where $\dot h$ is the rate of change of the water level, measured in centimeters per second.

If we know that $\dot V = 2\,\frac{cm^{3}}{s}$ , $r_{max} = 3\,cm$ , $h_{max} = 12\,cm$ and $h = 5\,cm$ , the rate of change of the water level is:

$\dot h = \frac{\dot V}{\pi\cdot h^{2}}\cdot \left(\frac{h_{max}}{r_{max}} \right)^{2}$

$\dot h =\left[\frac{2\,\frac{cm^{3}}{s} }{\pi\cdot (5\,cm)^{2}}\right] \cdot \left(\frac{12\,cm}{3\,cm} \right)^{2}$

$\dot h \approx 0.407\,\frac{cm}{s}$

The rate at which the water level is rising when the depth of the water in the cup is 5 centimeters is approximately 0.407 centimeters per second.

4 0

3 years ago

Which expression is equivalent to (73)5 • 74 ?

iris [78.8K]

This question is incomplete because the options are missing; here is the complete question:

Which expression is equivalent to (73) 5 • 74?

Select each correct answer:

73 • 5 + 4

73 + 5 + 4

73 + 5 • 74

73 • 5 • 74

The answer to this question is 73 • 5 • 74

Explanation:

The symbol • represents multiplication, this implies the numbers 5 and 74 should be multiplied when solving this operation. Moreover, if the expression is simplified the same symbol or a multiplication symbol should be used.

Moreover, the lack of a symbol between these numbers and 73 indicates multiplication. Indeed, in algebra and some fields of mathematics, the multiplication symbol is omitted, and two numbers standing side by side with no symbol indicate the multiplication. Thus, it is correct to place a multiplication symbol between 73 and the other numbers.

5 0

3 years ago

Which is the equation of a parabola with a directrix at y=2 and a focus at (5,0)

CaHeK987 [17]

Check the picture below, so the parabola looks more or less like so.

the vertex is always half-way between the focus point and the directrix, and since the parabola is opening downwards, the "p" distance is negative.

$\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill$

$\begin{cases} h=5\\ k=1\\ p=-1 \end{cases}\implies 4(-1)(y-1)~~ = ~~(x-5)^2\implies -4(y-1)=(x-5)^2 \\\\\\ y-1=-\cfrac{1}{4}(x-5)^2\implies y=-\cfrac{1}{4}(x-5)^2 + 1$

4 0

3 years ago