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3 years ago

3. Solve j by factoring 6j -19j2 + 14=0

Mathematics

1 answer:

telo118 [61]3 years ago

8 0

Answer:

6j -19j2 + 14=0

Step-by-step explanation:

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A cube-shaped tank that measures 4.64.6 meters on each side is full of water. If some water is drained to fill a cone with a hei

rusak2 [61]

Answer:

The amount of water left in the tank is approximately 58.1 cubic meters

Step-by-step explanation:

step 1

Find the volume of the a cube shape tank

The volume is equal to

$V=b^{3}$

we have

$b=4.6\ m$

substitute

$V=4.6^{3}=97.336\ m^{3}$

step 2

Find the volume of cone

The volume is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=2.5\ m$

$h=6\ m$

$\pi =3.14$

substitute

$V=\frac{1}{3}(3.14)(2.5)^{2}(6)$

$V=39.25\ m^{3}$

step 3

Find the difference of the volumes

$97.336\ m^{3}-39.25\ m^{3}=58.1\ m^{3}$

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3 years ago

Which line is perpendicular to a line that has a slope of 1/2?

Murrr4er [49]

Answer:

line HJ, because line with slope 1/2 is AB=2/4=1/2.

AB is perpendicular to HJ, because it forms right angle

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3 years ago

-8 and 8 are ___; they are both 8 away from zero.

Archy [21]

Two numbers that are the same distance from zero are called opposites.

-8 and 8 are Opposites.

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3 years ago

Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graph

diamong [38]

Answer:

a) 8π

b) 8/3 π

c) 32/5 π

d) 176/15 π

Step-by-step explanation:

Given lines : y = √x, y = 2, x = 0.

a) The x-axis

using the shell method

y = √x = , x = y^2

h = y^2 , p = y

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {y.y^2} \, dy$

∴ Vol = 8π

b) The line y = 2 ( using the shell method )

p = 2 - y

h = y^2

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy$

= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀

∴ Vol = 8/3 π

c) The y-axis ( using shell method )

h = 2-y = h = 2 - √x

p = x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

= $(2\pi ) \int\limits^4_0 {x(2-\sqrt{x} ) } \, dx$

= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀

vol = ( 2π ) ( 16/5 ) = 32/5 π

d) The line x = -1 (using shell method )

p = 1 + x

h = 2√x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

Hence vol = 176/15 π

attached below is the graphical representation of P and h

3 0

3 years ago

Three angles of a quadrilateral are 75,120, 90,then the fourth angle..

Roman55 [17]

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Geometry

Sum of Angles in a Quadrilateral: 360

Step-by-step explanation:

Step 1: Set up

75 + 120 + 90 + ∠4 = 360

Step 2: Solve

Add: 285 + ∠4 = 360
[Subtraction Property of Equality] Subtract 285 on both sides: ∠4 = 75

5 0

3 years ago