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3 years ago

A parachute is describing at rate of 28 feet per minute find the total change of altitude of the parachuter after 4 mins

1 answer:

5 0

A parachute is describing at rate of 28 feet per minute find the total change of altitude of the parachuter after 4 mins.

112 feet

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A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11). Show clearly that x^2+12x-220=0 solve the equation by

garik1379 [7]

Answer:

$x^2+12x-220=0$ -- Proved

$x = 10\ \ \ x = -22$

Step-by-step explanation:

Given

$Volume = 924cm^3$

$Dimension: 4cm; (x+1)cm; (x+11)cm$

Required

Show that $x^2+12x-220=0$

The volume is calculated as:

$4 * (x + 1) * (x + 11) = 924$

Open the brackets

$(4x + 4) * (x + 11) = 924$

$4x^2 + 44x + 4x + 44 = 924$

$4x^2 + 48x+ 44 = 924$

Collect Like Terms

$4x^2 + 48x+ 44 - 924=0$

$4x^2 + 48x -880=0$

Divide through by 4

$\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0$

$x^2+12x-220=0$

Solving further:

Expand the expression

$x^2 + 22x - 10x - 220 = 0$

Factorize:

$x(x + 22) - 10(x + 22) = 0$

$(x - 10)(x + 22) = 0$

Split:

$x - 10 = 0;\ \ \ x + 22 = 0$

$x = 10\ \ \ x = -22$

5 0

2 years ago

If possible, factor 9x2 − 625y2.

Igoryamba

Answer:

(3x - 25y)(3x + 25y)

Step-by-step explanation:

9x² - 625y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Given

9x² - 625y²

= (3x)² - (25y)²

= (3x - 25y)(3x + 25y)

3 0

3 years ago

Read 2 more answers

The consecutive angles of a parallelogram measure (x+30) and 4x°. What is the measure of the smallest

Sophie [7]

Answer:

Step-by-step explanation:

180=(x+30)+(4x)

Ok, combine like terms. That'll give you

180=5x+30.

Now solve for x. X is going to equal 30.

Then substitute 30 for x in the angles. One angle will be 60 and the other will be 120.

60 is smaller than 120 so that's your answer.

6 0

3 years ago

Find the value of X.

klemol [59]

Answer:

I think answer is 3

Step-by-step explanation:

BD = DA

BE = EC

Now, BD/BE = DA/EC

or, x + 5/2x = 4/3

or, 3x + 15 = 8x

or, 15 = 8x - 3x

or, 15 = 5x

or, 15/5 = x

or, 3 = x

Therefore x = 3 <u>Ans</u>

5 0

3 years ago

Given: angle 2 and angle 3 form a linear pair, angle 1 and angle 3 are vertical angles, and m angle 1, m angle 4, and m angle 5

Volgvan

Answer:

Step-by-step explanation:

<1 + <2 = 180 degrees (straight angle)

<3 + <5 + <4 = 180 degrees (straight angle)

<1 = <3 (vertical angles)

<1+<2 = <3+<4+<5 (straight angles)

<2 = (<3-<1)+<4+<5 (<3 - <1 = 0)

<2 = <4 + <5

5 0

3 years ago