abc=efg mG= ?///???????

Answer:

([tex]\sqrt{5}[/tex] n - 4)([tex]\sqrt{5}[/tex] n + 4)

Step-by-step explanation:

Using the factorising method, difference of 2 squares

a² - b² = (a - b)(a + b) , then

5n² - 16

= ([tex]\sqrt{5}[/tex] n )² - 4²

= ([tex]\sqrt{5}[/tex] n - 4)([tex]\sqrt{5}[/tex] n + 4)

Answer:

1/32

Step-by-step explanation:

Because each denominator is multiplied by 2

Answer:

36 square inches.

Step-by-step explanation:

Since the original figure was a square, all four side lengths are equivalent. The area for the square will be:

[tex]A=s^2[/tex]

Where s is the length of one side.

One side is increased by nine inches and the other side was decreased by two inches. The area of the resulting rectangle is 60 square inches.

So, one of the new sides is (s + 9).

And the other is (s - 2).

The area with these dimensions is 60. Thus:

[tex]60=(s-2)(s+9)[/tex]

Solve for s. Distribute:

[tex]60=s^2+7s-18[/tex]

Isolate the variables:

[tex]s^2+7s-78=0[/tex]

Factor:

[tex](s+13)(s-6)=0[/tex]

Zero Product Property:

[tex]s+13=0\text{ or } s-6=0[/tex]

Solve for each case:

[tex]s=-13\text{ or } s=6[/tex]

A side length cannot be negative. So, our only solution is:

[tex]s=6\text{ inches}[/tex]

Since each side of the square measures six inches, the area of the original square will be 36 square inches.

Answer:

Step-by-step explanation:

use the law of Cosines so that you can solve a SSS triangle

Cos(C) = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - [tex]c^{2}[/tex]  / 2ab

c is the side of 24 for our triangle and angle C is the top one in the picture.

C = arcCos ( [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - [tex]c^{2}[/tex]  / 2ab )

C = arcCos ( -32 / 480 )

C = 93.82255373 °

the angles at the top are each half of that or 46.91127 °

let's solve another angle for the big triangle now let's go for the one on the left and call it A

Cos(A) = [tex]c^{2}[/tex] + [tex]b^{2}[/tex] - [tex]a^{2}[/tex]  / 2bc   where a = 20

A = arcCos( [tex]c^{2}[/tex] + [tex]b^{2}[/tex] - [tex]a^{2}[/tex]  / 2bc)

A = arcCos( [tex]24^{2}[/tex] + [tex]12^{2}[/tex] - [tex]20^{2}[/tex] / 2*12*24

A = arcCos(320 / 576)

A = 56.2510 °

then angle B is  180 =93.823 + 56.251 + B

29.926 ° = B

so now we know all 3 angles.. seems like a lot of work , huh  :D

for the triangle with the question mark we now know two angles and the Hyp, so let's use Law of Sines to find that last side  :)

Sin(A)/a = Sin(B) /b  where A can be the angle at the top and B can be the angle at the base. which we have to find still  :/  

it's 180 = 46.9112 + 29.926 + B

103.162 = B

Sin(46.91127 ) / a = Sin(103.162) /20

Sin(46.91127 ) * 20 / Sin(103.162) = a

14.99998 = a    I feel confident this is supposed to be 15 and I have a tiny bit of rounding error..

? = 15   there you go  

your answer is 15

Answer:q=3

Step-by-step explanation:

14 multiplied by 3 equals 42

Answer: q = 3

Step-by-step explanation:

14q/14 = 1q

42/14 = 3

1q = 3

q = 3

Answer:

39.6

Step-by-step explanation:

if

10=22

18=x

18x22=396/10= 39.6

Answer:

c. 5.5

Step-by-step explanation:

Answer:

24 people were in the sample !

Answer:

About 0.680389 kg

Step-by-step explanation:

Answer:

There is 0.680389 kilograms in 1 1/2 pounds.

Answer:

3.46 = x

Step-by-step explanation:

6^2= 36

3.46^2 + 2(3.46)^2=36

Answer:

7x=5x/67

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve for x, 3x < -17 - 4 so 3x < -21 so x < -7

Since the x you are looking for is less than -7, draw an open circle on -7 (don't color it in, leave it like a donut) then darken the number line to the left of -7 and draw an arrow at the end

Answer:

20 units

Step-by-step explanation:

calculating volume of a rectangular prism is done by multiplying length x width x height. the prism is 5 units tall, 2 units wide, and 2 units long (or deep), so you multiply 5x2x2 to get twenty

Answer:

the answer is -30

Step-by-step explanation:

| 2 4 |

| 3 -9| = ( 2 * (-9) ) - ( 4 * 3)

= - 18 - 12

= -30

Answer:

the first one

Step-by-step explanation:

-.8x + 4.8y + 16

hope this helps

Answer:

9.4km

Step-by-step explanation:

6.2^2 +7.1^2 = x^2

so 38.44+ 50.41= 88.85

x^2= 88.85 so x = 9.4

Sorry if it's really confusing lol, if you need help i could explain it further but your answer is 9.4

Answer:

It's B

Step-by-step explanation:

Because 10 less than 20 mean 20 is not greater so B. ) is correct

Step-by-step explanation:

√(20+5²)=√{20+25}=√45=3√5

Answer:

Options A, D and E

Step-by-step explanation:

If a number in square root can't be solved Or square root of the number can't be removed then it is a surd.

Option A

√17 = Surd [Can't be simplified further]

Option B

√36 = 6

Not a surd

Option C

√100 = 10

Not a surd

Option D

√15 = Surd

Option E

√30 = Surd  

Therefore, Options A, D and E are the surd.

Answer:there are 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

b₁ = x

b₂ = 2b₁

b₃  = b₂+2

Answer:

hi

Step-by-step explanation:

Review the standard and expanded forms of circle equations, and solve problems concerning them. ... Practice set 3: Using the expanded equation of circles ... y+105x2+y2+18x+14y(x2+18x)+(y2+14y)(x2+18x+81)+(y2+14y+49)(x+9)2+(y+7)2(x ... I could move the centre, but I'm lost as to how the radius should be adjusted.

Answer:

904.32

Step-by-step explanation:

find the volume of the cylinder using V=πr^2h

V = (3.14)(6)^2(8)

V = 904.32

Answer:

2y+6

Step-by-step explanation:

3y-y = 2y

So therefore...

2y+6

Answer: 20% most likely

Step-by-step explanation:

because it does