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3 years ago

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Mathematics

2 answers:

77julia77 [94]3 years ago

6 0

Answer:

it is a quadrilateral, and both pairs of opposite sides are parallel thats why its called a parallelogram. Hope this helps.

Step-by-step explanation:

jeka943 years ago

5 0

The answers are It is a quadrilateral and Both pairs of opposite sides are parallel.

Hope this helps.

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What is the approximate volume of this tree trunk if the circumference is 26π inches and the height of the trunk is 22 inches,

den301095 [7]

Answer:

Volume = 11680.44 cubic inches

Step-by-step explanation:

Circumference of the trunk of a tree = 2πr

Here, r = radius of the trunk

26π = 2πr

r = 13 inch

Since, volume of the cylindrical trunk = πr²h

= π(13)²(22)

= 3718π

= 11680.44 cubic inches

4 0

2 years ago

The sum of two consecutive integers is 75. Find the number

Luba_88 [7]

Divide 75 by 2:

75 / 2 = 37.5

Now you need the whole number below 37.5 and the whole number above 37.5:

37 + 38 = 75

The numbers are 37 and 38

4 0

2 years ago

How many feet are in 96 inches?

Alik [6]

8 because 12x8=96 and 12 inches in a foot

4 0

2 years ago

Read 2 more answers

X-y=6<br> 2x-3z=16<br> 2y+z=4<br><br> Solve the systems of equations.

Neko [114]

Answer:

Given System of equation:

x-y =6 .....,[1]

2x-3z = 16 ......[2]

2y+z = 4 .......[3]

Rewrite the equation [1] as

y = x - 6 .......[4]

Substitute the value of [4] in [3], we get

$2(x-6)+z = 4$

Using distributive property on LHS ( i.e, $a \cdot (b+c) =a \cdot b+ b \cdot c$ )

then, we have

2x - 12 +z =4

Add 12 to both sides of an equation:

2x-12+z+12=4+12

Simplify:

2x +z = 16 .......[5]

On substituting equation [2] in [5] we get;

2x+z=2x -3z

z = -3z

Add 3z both sides of an equation:

z+3z = -3z+3z

4z = 0

Simplify:

z = 0

Substitute the value of z = 0 in [2] to solve for x;

$2x-3(0) = 16$

2x = 16

Divide by 2 both sides of an equation:

$\frac{2x}{2} =\frac{16}{2}$

Simplify:

x= 8

Substitute the value of x =8 in equation [4] to solve for y;

y = 8-6 = 2

y = 2

Therefore, the solution for the given system of equation is; x = 8 , y = 2 and z =0

5 0

3 years ago

StartLayout enlarged left-brace 1st row 4 x minus 5 y = 5 2nd row negative 0.08 x + 0.10 y = 0.10 EndLayout

FinnZ [79.3K]

Answer:

$x = 1.25$

$y = 0$

Step-by-step explanation:

Given

$4x - 5y = 5$

$0.08x + 0.10y = 0.10$

Required

Determine the solution

Make x the subject of formula in: $4x - 5y = 5$

$4x = 5 + 5y$

Divide both sides by 4

$\frac{4x}{4} = \frac{5 + 5y}{4}$

$x = \frac{5 + 5y}{4}$

Substitute $x = \frac{5 + 5y}{4}$ in $0.08x + 0.10y = 0.10$

$0.08(\frac{5 + 5y}{4}) + 0.10y = 0.10$

Solve the fraction

$0.02(5 + 5y) + 0.10y = 0.10$

Open the bracket

$0.1 + 0.1y + 0.10y = 0.10$

$0.1 + 0.2y = 0.10$

Subtract 0.1 from both sides

$0.1-0.1 + 0.2y = 0.10 - 0.1$

$0.2y = 0$

Divide both sides by 0.2

$y =0$

Substitute 0 for y in $x = \frac{5 + 5y}{4}$

$x = \frac{5 + 5*0}{4}$

$x = \frac{5 + 0}{4}$

$x = \frac{5 }{4}$

$x = 1.25$

5 0

3 years ago