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2 years ago

Work out the rule for the nth term then work out the 100 term

Mathematics

1 answer:

Phantasy [73]2 years ago

6 0

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I need help!!! and make sure its 100 percent right!! my graduation is at rate of not passing

geniusboy [140]

Answer:

I'm not 100% sure I'm right but I think x = -1

because it says "f(x)" and then it says"Find f(-1)" so that is why I think x = -1

6 0

2 years ago

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Find the volume and area for the objects shown and answer Question

klio [65]

Step-by-step explanation:

You must write formulas regarding the volume and surface area of the given solids.

$\bold{\#1\ Rectangular\ prism:}\\\\V=lwh\\SA=2lw+2lh+2wh=2(lw+lh+wh)\\\\\bold{\#2\ Cylinder:}\\\\V=\pi r^2h\\SA=2\pi r^2+2\pi rh=2\pir(r+h)\\\\\bold{\#3\ Sphere:}\\\\V=\dfrac{4}{3}\pi r^3\\SA=4\pi r^2$

$\bold{\#4\ Cone:}\\\\V=\dfrac{1}{3}\pi r^2h\\\\\text{we need calculate the length of a slant length}\ l\\\text{use the Pythagorean theorem:}\\\\l^2=r^2+h^2\to l=\sqrt{r^2+h^2}\\\\SA=\pi r^2+\pi rl=\pi r^2+\pi r\sqrt{r^2+h^2}=\pi r(r+\sqrt{r^2+h^2})\\\\\bold{\#5\ Rectangular\ Pyramid:}\\\\V=\dfrac{1}{3}lwh\\\\$

$\\\text{we need to calculate the height of two different side walls}\ h_1\ \text{and}\ h_2\\\text{use the Pythagorean theorem:}\\\\h_1^2=\left(\dfrac{l}{2}\right)^2+h^2\to h_1=\sqrt{\left(\dfrac{l}{2}\right)^2+h^2}=\sqrt{\dfrac{l^2}{4}+h^2}=\sqrt{\dfrac{l^2}{4}+\dfrac{4h^2}{4}}\\\\h_1=\sqrt{\dfrac{l^2+4h^2}{4}}=\dfrac{\sqrt{l^2+4h^2}}{\sqrt4}=\dfrac{\sqrt{l^2+4h^2}}{2}$

$\\\\h_2^2=\left(\dfrac{w}{2}\right)^2+h^2\to h_2=\sqrt{\left(\dfrac{w}{2}\right)^2+h^2}=\sqrt{\dfrac{w^2}{4}+h^2}=\sqrt{\dfrac{w^2}{4}+\dfrac{4h^2}{4}}\\\\h_2=\sqrt{\dfrac{w^2+4h^2}{4}}=\dfrac{\sqrt{w^2+4h^2}}{\sqrt4}=\dfrac{\sqrt{w^2+4h^2}}{2}$

$SA=lw+2\cdot\dfrac{lh_1}{2}+2\cdot\dfrac{wh_2}{2}\\\\SA=lw+2\!\!\!\!\diagup\cdot\dfrac{l\cdot\frac{\sqrt{l^2+4h^2}}{2}}{2\!\!\!\!\diagup}+2\!\!\!\!\diagup\cdot\dfrac{w\cdot\frac{\sqrt{w^2+4h^2}}{2}}{2\!\!\!\!\diagup}\\\\SA=lw+\dfrac{l\sqrt{l^2+4h^2}}{2}+\dfrac{w\sqrt{w^2+4h^2}}{2}\\\\SA=\dfrac{2lw}{2}+\dfrac{l\sqrt{l^2+4h^2}}{2}+\dfrac{w\sqrt{w^2+4h^2}}{2}\\\\SA=\dfrac{2lw+l\sqrt{l^2+4h^2}+w\sqrt{w^2+4h^2}}{2}$

6 0

2 years ago

PLEASE HELP ME!!! In a recent election, there were six candidates and 5100 total votes. The circle graph below summarizes the vo

Crazy boy [7]

25.2:360 ::x:5100
Or 25.2 x ------=----- then cross multiply, 360x=5100*25.2

7 0

3 years ago

Please help with this problem

HACTEHA [7]

Answer:

x = 2

Step-by-step explanation:

Multiply both sides by (x-5) and expand:

(x+4)/(x-5)*(x-5) = -2(x-5)

x+4 = -2x+10

Subtract 4 from both sides:

x+4-4 = -2x+10-4

x = -2x+6

Add 2x to both sides:

x+2x = -2x+6+2x

3x = 6

Divide both sides by 3:

3x/3 = 6/3

x = 2

7 0

2 years ago

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10 times as many as _ hundreds is 60 hundreds or _ thousands

vovangra [49]

60 hundreds = 60 * 100 = 6,000 ( six thousands )
10 * 600 = 6,000 ( 10 times as many as 600 is 6,000 - six thousands )
Answer:
10 times as many as 6 hundreds is 60 hundreds or 6 thousands.

6 0

3 years ago

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