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2 years ago

What is a formula for the nth term of the given sequence? a 135, -225, 375...

Mathematics

1 answer:

Kruka [31]2 years ago

5 0

Answer:

480n² - 1800n + 1455

Step-by-step explanation:

see attached

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If i kick a soccer ball 10 feet and i comes back, how did this happen

Harman [31]

It likely hit a barrier like a wall for example and the force of the ball hitting the wall caused it to be pushed away. Another possibility is that the ball was kicked up some sort of slop and when it was at the ten feet it slowed down and then rolled back down. I hope this helps.

8 0

3 years ago

1) Given: circle k(O), ED= diameter ,m∠OEF=32°, m(arc)EF=(2x+10)° Find: x

qaws [65]

1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is $(2x+10)^\circ$ , so the measure of arc DF is

$m\widehat{DF}=360^\circ-180^\circ-(2x+10)^\circ=(170-2x)^\circ$

The inscribed angle theorem tells us that the central angle subtended by arc DF, $\angle DOF$ , has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so

$m\angle DOF=2m\angle OEF=64^\circ$

so the measure of arc DF is also 64 degrees. So we have

$170-2x=64\implies106=2x\implies\boxed{x=53}$

###

2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,

$m\angle EOF=2m\angle EDF\implies56^\circ=2m\angle EDF\implies m\angle EDF=28^\circ$

Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that

$m\angle EFD+m\angle EDF+m\angle DEF=180^\circ\implies\boxed{m\angle EFD=76^\circ}$

Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have

$m\angle EFO+m\angle FEO+m\angle EOF=180^\circ\implies\boxed{m\angle EFO=62^\circ}$

7 0

3 years ago

(4x + 3)(4x - 3) Help pls

tekilochka [14]

Answer:

$16x^2-9$

Step-by-step explanation:

$\left(4x+3\right)\left(4x-3\right)$

We´ll Apply Difference Two Squares Formula:

$\left(a+b\right)\left(a-b\right)=a^2-b^2$

$\longmapsto$ $\left(4x+3\right)\left(4x-3\right)$

$\longmapsto$ $\left(4x\right)^2-3^2$

Apply exponent rule:

$\left(a\times \:b\right)^n=a^nb^n$

$\longmapsto$ $4^2x^2-3^2$

$\longmapsto$ $16x^2-9$

_________________________

6 0

3 years ago

Read 2 more answers

3 divide by what number equals 5

marysya [2.9K]

First write the equation
3/n = 5

Multiply both sides by n
3/n * n = 5 * n

Simplify
3 = 5 * n

Divide both sides by 5
3/5 = 5 * n/5

Simplify
3/5 = n

Divide
0.6 = n

So 3/0.6 = 5

4 0

4 years ago

Help plz:))) I’ll mark you BRAINLIEST

inessss [21]

Answer:

not idea sorry but 4 no is idea it can be solve the 10 std

6 0

3 years ago