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2 years ago

19:10._ for the of man is come to _ into that which was __

Mathematics

1 answer:

LuckyWell [14K]2 years ago

8 0

Answer:

For the Son of man is come to save that which was lost. ... For God did not send His Son into the world to condemn the world, but to save the world through Him.

Step-by-step explanation:

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The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side

snow_tiger [21]

Answer:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

Step-by-step explanation:

Represent:

The opposite with a
The adjacent with b
The hypotenuse with c

Given that:

$c = 1 + a$

$c = 4 + 3b$

Required

Solve for a, b and c

$c = c$

So, we have:

$1 + a = 4 + 3b$

Subtract 1 from both sides

$a = 4 -1 + 3b$

$a = 3 + 3b$

Apply Pythagoras Theorem

$c^2 = a^2 + b^2$

Substitute 3 + 3b for a and 4 + 3b for c

$(4 + 3b)^2 = (3 + 3b)^2 + b^2$

Open brackets

$16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2$

$16 + 24b+9b^2 = 9 + 18b+10b^2$

Collect Like Terms

$10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0$

$b^2 - 6b -7 = 0$

Expand

$b^2 +b-7b-7=0$

Factorize:

$b(b+1)-7(b+1) =0$

$(b-7)(b+1) = 0$

Split:

$b - 7 = 0\ or\ b+1=0$

$b = 7\ or\ b=-1$

But the adjacent of a triangle can't have a negative measurement.

So:

$b = 7$

Recall that:

$c = 4 + 3b$

$a = 3 + 3b$

Substitute 7 for b in the above expressions

$c = 4 + 3 * 7$

$c = 4 + 21$

$c = 25$

$a = 3 + 3 * 7$

$a = 3 + 21$

$a = 24$

Hence, the dimensions of the triangle are:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

5 0

3 years ago

1. You are making gift bags to give to your friends at a birthday party. You have 36 candy bars, 24 pencils, and 48 erasers to d

Mnenie [13.5K]

iAnswer: i belive it is 12

Step-by-step explanation: theGCF of 36 and 24 is 12 the GCF of 36 and 48 is 12 and the GCF of 48 and 24 is 12 and 24

PRT TWO: there would be 2 pencils in each bag 3 candy barsin each and 4 erasers in each because 24 divided by 12 = 2 36 divided by 12 = 3 and 48 dividedby 12 = 4

5 0

3 years ago

Read 2 more answers

A fish tank has the shape of a rectangular prism. It has a length of 214 meters, width of 78 meters, and a height of 112 meters.

lesya692 [45]

Answer:

2 61/64 m2

Step-by-step explanation:

V = length * width * height

2.25 * 7/8 * 1.50

V = 2 61/64 m2

* = multiplication symbol

V = Volume

5 0

3 years ago

Pls answer asap, show work pls :(

coldgirl [10]

Answer:

2.Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form: ( 3 , 5 )

Equation Form: x = 3 , y = 5

3.Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form: ( 2 , 8 )

4.Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form: ( 2 , − 3 )

Step-by-step explanation:

6 0

3 years ago

the width of a rectangle is the length minus 2 units. The area of the rectangle is48 units. What is the width, in units, of the

tatuchka [14]

Answer:

Step-by-step explanation:

put unknown as y

area of rectangle = width × long

y(y - 2)=48

y² -2y =48

u can use scientific calculator to find this

y²-2y-48=0

(y-8)(y+6)=0

y=8 y=-6

take the positive value and ignore the negative value

width=y-2 long=8

8-2=6

I hope this help you :)

6 0

3 years ago

19:10.___ for the __ of man is come to ___ into __ that which was __​

19:10._ for the of man is come to _ into that which was __