6² - 3x (3² x 2) + 5 ​

Answer:

21.13 m

Step-by-step explanation:

Height of the string, (Hyoptenuse) = 50 m

The kite makes an angle of elevation with the ground of 25°.

We need to find how high is the kite above the ground. Let it is h. We can find it using trigonometry as follows :

[tex]\sin\theta=\dfrac{P}{H}\\\\h=H\sin\theta\\\\h=50\times \sin(25)\\\\H=21.13\ m[/tex]

So, the required height is 21.13 m.

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:

([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:

v=Bh

12*8= 96. <---B

2 <----h

v=192

Step-by-step explanation:

I hope that helps

Answer:

1 inch

Step-by-step explanation:

IT ONE INCH NOW HURRY!!!

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:

hello!!

your answer is 22

Step-by-step explanation:

Answer:

Step-by-step explanation:

b₁ = x

b₂ = 2b₁

b₃  = b₂+2

Answer:

∠A=26º

∠B=137º

∠C=17º

Step-by-step explanation:

We can use the Law of Cosines because we have all 3 side lengths.

cosA = [tex]b^2+c^2-a^2/2bc[/tex]

cosA=28^2+12^2-18^2 / 2(28)(12)

cosA=604/672

cos-1(604/672

angle A ≈ 26º

cosB =  [tex]c^2+a^2-b^2/2ca[/tex]

cosB=-316/432

cos-1(-316/432

angle B ≈ 137º

26+137=163

180-163=17

angle C ≈ 17º

Answer:

f(x) = 10x2 – 17x + 3

f(x) = 10x2 – 15x -2x + 3

f(x) = 5x(2x – 3) -1(2x - 3)

f(x) = (2x – 3)(5x -1)

Step-by-step explanation:

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

Step-by-step explanation:

√(20+5²)=√{20+25}=√45=3√5

Answer:

24 people were in the sample !

Answer:

1/32

Step-by-step explanation:

Because each denominator is multiplied by 2

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:

c. 5.5

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

-.8x + 4.8y + 16

hope this helps

Answer:

7x=5x/67

Step-by-step explanation:

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:

39.6

Step-by-step explanation:

if

10=22

18=x

18x22=396/10= 39.6

Answer:

Answer is D hope this helps

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

The steps we need to take:

1. Simplify left side.

2. Separate the variable and its coefficient from constants

3. Divide both sides by the coefficient to find "x

1) Simplify left side.

5(3x - 4) + 12 = 52

15x - 20 + 12 = 52

15x - 8 = 52

2) Separate the variable and its coefficient from constants by adding 8 to both sides.

15x - 8 + 8 = 52 + 8

15x = 60

3) Divide both sides by the coefficient to find x. (the coefficient is the number that comes before the variable)

15x / 15 = 60 / 15

x = 4

Answer:

3.46 = x

Step-by-step explanation:

6^2= 36

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