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3 years ago

Which one is it?? Will give BRAINLIEST

Mathematics

2 answers:

miv72 [106K]3 years ago

3 0

I think the answer is B but I’m not 100% sure

Triss [41]3 years ago

3 0

Answer:

Step-by-step explanation:

To get the converse, simply switch the hypothesis and conclusion.

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Which expression represents the area of the base of the pyramid? startfraction 3 v over h endfraction units2 (3v – h) units2 (v

Sladkaya [172]

The expression that represents the area of the base of the pyramid(right pyramid) is given by: Option A: 3v/h unit²

<h3>What is a right rectangular pyramid?</h3>

A right rectangular pyramid is a pyramid, with four slant sides, and a rectagular base, such that all the sides are congruent and the vertex is atop of the midpoint of the base rectangle.

<h3>How to find the volume and base's area of a right rectangular pyramid?</h3>

Suppose the base of the pyramid has length = l units, and width = w units.

Suppose that the height of the pyramid is of h units, then:

$v = \dfrac{l \times w \times h}{3} \: \rm unit^3$ is the volume of that pyramid.

The base is a rectangle with length = L units, and width = W units, so its area is:

$b = l \times w\: \rm unit^2$

Thus, we can express the area of its base in terms of its volume as:

$v = \dfrac{l \times w \times h}{3} \: \rm unit^3 = \dfrac{b\times h}{3}\\\\3v = b\times h\\\\\\b = \dfrac{3v}{h} \: \rm unit^2$

Thus, the expression that represents the area of the base of the pyramid (right pyramid) is given by: Option A: 3v/h unit²

Learn more about right rectangular prism here:

brainly.com/question/3712320

3 0

3 years ago

Write the equation of a line in y =mx+b<br> form that has a slope of 3/4 and a y-intercept of 0.

Rus_ich [418]

Answer:

y = ¾x

Step-by-step explanation:

y = mx + b, where

m = slope and

b = y-intercept

If slope = ¾ and y-intercept =0, the equation is

y = ¾x

4 0

4 years ago

The rate of change in sales for Garmin from 2008 through 2013 can be modeled by

Zina [86]

Answer:

a) The model for the sales of Garmin is represented by $S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112$ .

b) The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

Step-by-step explanation:

a) The model for the sales of Garmin is obtained by integration:

$S(t) = -0.0972\int {t^{2}} \, dt + 2.136\int {t}\,dt -11.9 \int\,dt$

$S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + C$ (1)

Where $C$ is the integration constant.

If we know that $t = 9$ and $S(t) = 2.9$ , then the model for the sales of Garmin is:

$-\frac{81}{2500} \cdot 9^{3} + \frac{267}{250}\cdot 9^{2}-11.9\cdot (9) + C = 2.9$

$C = 47.112$

The model for the sales of Garmin is represented by $S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112$ .

b) The average sales of the Garmin from 2008 through 2013 ( $\bar{S}$ ) is determined by the integral form of the definition of average, this is:

$\bar{S} = \frac{1}{13 - 8} \cdot \int\limits^{13}_{8} {S(t)} \, dt$ (2)

$\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112 \right]} \, dt$

$\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8) \right]$ $\bar{S} = \frac{1}{5}\cdot (-198.167+599.86-624.75+235.56)$