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4 years ago

Why might the formula V=Bh work for any prism, not just rectangular or triangular prisms?

1 answer:

3 0

This formula will work for any prism because volume is a measurement of space. From the bottom of any prism to the top of any prism would be the same shape going through space. The B stands for the area of the base.

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Angl is a square. The equation of line NG is Y= 1/2 X - 6. Find the equation of line LG in slope intercept form given that the c

Irina18 [472]

Answer: y=-2x-9

Step-by-step explanation:

If ANGL is a square, then NG and LG are adjacent sides.

Adjacent sides are perpendicular. [Each angle is 90°]

The equation of line NG is $Y=\dfrac12 X-6$ .

By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)

slope = $\dfrac12$

Let slope of LG be <em>n</em>, then

$n\times \dfrac{1}{2}=-1$ [Product of slopes of two perpendicular line =-1]

$\Rightarrow n=-2$

Equation of a line passes through (a,b) and have slope m is given by :-

$(y-b)=m(x-a)$

Equation of LG :

$(y-1)=-2(x-(-5))\\\\\Rightarrow\ y-1=-2x-10\\\\\Rightarrow\ y=-2x-9$ [In intercept form]

3 0

3 years ago

Identify the range of the function shown in the graph.

eduard

B. The highest point y is equal to is 5 and the lowest is -5

3 0

3 years ago

A person eating at a cafeteria must choose 4 of the 13 vegetables on offer. calculate the number of elements in the sample space

Serggg [28]

A person eating at a cafeteria must choose 4 of the 13 vegetables on offer. calculate the number of elements in the sample space for this experiment.

Answer: The number of elements in the sample space for this experiment can be found using the combination formula because the order does not matter here.

Therefore, the number of elements in the sample space for this experiment is:

$13C4=\frac{13!}{(13-4)!4!}$

$=\frac{13!}{9! \times 4!}$

$=\frac{6227020800}{8709120}$

$=715$

Therefore, the number of elements in the sample space for this experiment is 715.

7 0

4 years ago

To verify the identity tan (x1+x2+x3) = tan x1 + tan x2 + tan x3 - tan x1 tan x2 tan x3 / 1 - tan x1 tan x2 - tan x2 tan x3

andrezito [222]

Answer:

The answer is the last one

$tan(x_{1}+x_{2}+x_{3})=\frac{tanx_{1}+tan(x_{2}+x_{3})}{1-tanx_{1}tan(x_{2}+x_{3})}$

Step-by-step explanation:

∵ $tan(x_{1}+x_{2}+x_{3}=\frac{tanx_{1}+tan(x_{2}+x_{3})}{1-tanx_{1}tan(x_{2}+x_{3})}$

$=\frac{tanx_{1}+\frac{tanx_{2}+tanx_{3}}{1-tanx_{2}tanx_{3}} }{1-tanx_{1}(\frac{tanx_{2}+tanx_{3}}{1-tanx_{2}tanx_{3}})}$

Multiply up and down by $1-tanx_{2}tanx_{3}$

$\frac{tanx_{1}(1-tanx_{2}tanx_{3})+tanx_{2}+tanx_{3}}{1-tanx_{2}tanx_{3}-tanx_{1}tanx_{2}-tanx_{1}tanx_{3}}$

$=\frac{tanx_{1}+tanx_{2}+tanx_{3}-tanx_{1}tanx_{2}tanx_{3}}{1-tanx_{1}tanx_{2}-tanx_{2}tanx_{3}-tanx_{1}tanx_{3}}$

7 0

3 years ago

Read 2 more answers

URGENTTTTTTT 20PT.

zaharov [31]

Out of the choices provided the answers would be C,D, and E
She has four choices for the first brother's towel and three choices for the second brother's towel
ABC,ABD,ABE,ACD,ACE, and ADE are the possible outcomes.
If Fiona did not choose towel A for herself, there would be more outcomes.
Hope this helps!

4 0

3 years ago

Read 2 more answers