At 12:15, the end of the minute hand of a clock is 8 feet above the ground. At 12:30, it is 6.5 feet off the ground How long is the minute hand of the clock? And How high is the center of the clock from the ground

Answer:

∠ 1 = 99°, ∠ 2 = 81°, ∠ 4 = 81°

Step-by-step explanation:

∠ 1 and ∠ 3 are vertical angles and are congruent, then

∠ 1 = 99°

∠ 1 and ∠ 2 are adjacent angles and sum to 180° , so

∠ 2 = 180° - 99° = 81°

∠ 2 and ∠ 4 are vertical angles and are congruent, so

∠ 4 = 81°

Answer:

2 square root 14

Step-by-step explanation:

The square root of 56 is 2 square root 14. 56 = 4 * 14, and 4 can be square rooted into an integer.

Answer:

c

Step-by-step explanation:

10*10=100

100-78.54=21.46

so rounded answer is c or 21.5

goodluck on your test

Answer: Hello Luv......

C. 21.5

Step-by-step explanation:

Hope this helps.

Mark me brainest please.

Anna ♥

Answer:

156 cm

Step-by-step explanation:

Answer:

791.68

Step-by-step explanation:

have a nice day! :)

Answer:

5 and 3

Step-by-step explanation:

please mark me brainlist

Answer:

1) .11111

2) 5/9

3) 122/495

4) rational- .167167, 2/9

irrational- π, [tex]\sqrt{225}[/tex]

5) 5.75

x^2 - 3x = x ( x - 3 )

ʜᴏᴘᴇ ʏᴏᴜ ɢᴇᴛ ᴡᴇʟʟ

Answer:

18 ÷ (-2) = -9

Step-by-step explanation:

18 ÷ (-2) = -9 is the least possible quotient.

To meet the requirement, we should divide the biggest positive number by smallest negative number

Answer:

Question 2

Step-by-step explanation:

divdtihcdyuvftujvfujvfubf

Answer:

2

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}(4x + \frac{2}{5} ) = \frac{4}{5}\\2x + \frac{1}{5} = \frac{4}{5}\\\frac{10x + 1}{5} = \frac{4}{5}\\10x + 1= 4\\10x = 3\\x = \frac{3}{10}[/tex]

Answer:

x = 3/10

Step-by-step explanation:

Given equation,

→ 1/2(4x + 2/5) = 4/5

Let's solve the problem,

→ 1/2(4x + 2/5) = 4/5

→ 2x + (1/5) = 4/5

→ 2x = (4/5) - (1/5)

→ x = (3/5) × (1/2)

→ [ x = 3/10 ]

Thus, the value is 3/10.

Answer:

x=6+2√3 or x=6−2√3

Step-by-step explanation:

Let's solve your equation step-by-step by using completing the square.    

5x^2−57x=3x−120

Step 1: Subtract 3x from both sides.

5x^2−57x−3x=3x−120−3x

5x^2−60x=−120

Step 2: Since the coefficient of 5x^2 is 5, divide both sides by 5.

5x2−60x/5 = −120 /5

x2−12x=−24

Step 3: The coefficient of -12x is -12. Let b=-12.

Then we need to add (b/2)^2=36 to both sides to complete the square.

Add 36 to both sides.

x2−12x+36=−24+36

x2−12x+36=12

Step 4: Factor left side.

(x−6)2=12

Step 5: Take square root.

x−6=±√12

Step 6: Add 6 to both sides.

x−6+6=6±√12

x=6±√12

x=6+2√3 or x=6−2√3

Answer:

x = 19

Step-by-step explanation:

The lower base angles in an isosceles trapezoid are congruent , then

5x - 20 = 2x + 37 ( subtract 2x from both sides )

3x - 20 = 37 ( add 20 to both sides )

3x = 57 ( divide both sides by 3 )

x = 19

Answer:

y = - 3, - 2, - 1

Step-by-step explanation:

Given

- 8 < 2y < 0 ( divide each interval by 2 )

- 4 < y < 0

Then y can equal - 3, - 2, - 1

Answer: 25 in.

Step-by-step explanation:

Given

Arc length is 34 inches

The angle subtended by the arc is [tex]78^{\circ}[/tex]

arc length l subtending an angle [tex]\theta[/tex] is given by

[tex]\Rightarrow l=\dfrac{\theta }{360^{\circ}}\times 2\pi R[/tex]

Put the values

[tex]\Rightarrow 34=\dfrac{78^{\circ}}{360^{\circ}}\times 2\pi R\\\\\Rightarrow R=24.97\approx 25\ in.[/tex]

Answer:

not a right triangle

Step-by-step explanation:

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 12 and 12² = 144

7² + 10² = 49 + 100 = 149 ≠ 144

Then triangle is not right

Answer:

14.4

Step-by-step explanation:

16^2 - 7^2 = root of 207

Answer:

D. X=6.08, x=-0.58

Step-by-step explanation:

Given the rational expression

[tex]\frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x^2-4x-6x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x(x-4)-6(x-4)} = \frac{-3}{x-6}\\ \\\frac{2x}{x-4}-\frac{2x-5}{(x-4)(x-6)} = \frac{-3}{x-6}\\Rerrange;\\\frac{2x-5}{(x-4)(x-6)} = \frac{2x}{x-4}+ \frac{3}{x-6}\\\frac{2x-5}{(x-4)(x-6)} = \frac{2x(x-6)+3(x-4))}{(x-4)(x-6)}\\[/tex]

Cancel out the denominator on both sides

[tex]2x-5 = 2x(x-6)+3(x-4)\\Expand\\2x-5 =2x^2-12x+3x-12\\2x-5 = 2x^2-9x-12\\Equate \ to \ zero\\2x^2-9x-12-2x+5 = 0\\2x^2-11x - 7 = 0\\[/tex]

Factorize

[tex]x = -(-11)\pm\frac{\sqrt{(-11)^2-4(2)(-7)} }{2(2)}\\x = 11\pm\frac{\sqrt{121+56} }{4}\\x = 11\pm\frac{\sqrt{177} }{4}\\x = 11\pm\frac{13.3 }{4}\\x = \frac{11+13.3}{4} \ and \ x = \frac{11-13.3}{4} \\x = 6.08 \ and \ - 0.58[/tex]

Hence the required solution is X=6.08 and -0.58

Answer:

Step-by-step explanation:

Area of circle:

Answer:

B) 144 cm^2

Step-by-step explanation:

Answer:

2n +14 = 30 I can use inverse operations and solve for n.

Step-by-step explanation:

twice means 2 so twice a number,n, means 2 times n thus 2n.

sum means add  so, 2n + 14

is means equal so 2n + 14 = 30

If you solve it you will find n = 8

Answer:

42

hope this answer helps you!

Answer:

54 as a fraction of 60 is equivalent to 9/10

Step-by-step explanation:

54/x = 9/10

54 * 10 = x * 9

6*9 * 10 = x * 9

6 * 10 = x

x = 60

Answer:

3) A circle Is a locus of a moving point which moves from equal distance in q fixed path.

Answer:

Good for you

Step-by-step explanation:

Answer:

x = 4 and y = −1

(4, -1)

Step-by-step explanation:

I going to solve this system of equations by elimination. (You could also solve by substitution too.)

Multiply the first equation by 1, and multiply the second equation by -2.

1(−2x+9y= -17)

-2(-x - 3y = -1)

Becomes:  

−2x + 9y = −17

2x + 6y = 2

Add these equations to eliminate x:

15y = −15

15y/15 = -15/15

y = -1

Now we solve for x:

-x -3(-1) = -1

-x + 3 = -1

     -3   -3

-x = -4

x = 4

Hope this helped!

Answer:

Area of the rectangle: 24 cm²

Area of the circle: 380.13 cm²

Area of between the circle and the rectangle: 356.13 cm²

Step-by-step explanation:

Answer:

397.39

Step-by-step explanation: