To prove that objects of different weights fall at the same
rate, Galileo dropped two objects with different weights
from the Leaning Tower of Pisa in Italy. The objects hit the
ground at the same time. When an object is dropped from
a tall building, it falls about 16 feet in the first second, 48
feet in the second second, and 80 feet in the third second,
regardless of its weight. How many feet would an object
fall in the tenth second?

Answer:

Option (C). 4.6 cm

Step-by-step explanation:

In the figure attached,

A right triangle has been given with hypotenuse = 6 cm, leg 1 = x cm, leg 2 = y cm and one angle = 50°

By applying Sine rule in this triangle,

Sin(50)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{\text{Leg 1}}{\text{Hypotenuse}}[/tex]

Sin(50)° = [tex]\frac{x}{6}[/tex]

x = 6(Sin50°)

x = 4.59

x ≈ 4.6 cm

Therefore, Option (C) will be the answer.

Answer:

C. Corresponding angles

Step-by-step explanation:

Corresponding angles are angles formed by a transversal on the same side of the transversal and on the same side of each parallel lines.

Answer:

Fractions whose reduced form have denominators with factors other than 2, 5 will have repeating decimal expansions.

Step-by-step explanation:

The decimal expansion will terminate only if the fraction can be written an some numerator over a denominator that is a power of 10. hope this helps you :)

Answer:

Side c = 22.1

Angle A = 36.7°

Angle B = 53.2°

Angle C = 90.1°

Step-by-step explanation:

Triangle ABC is a right angle

Where given sides

a = 13.2

b = 17.7

We can find c using Pythagoras Theorem

Pythagoras Theorem for a right angle triangle=

c² = a² + b²

c = √(a² + b²)

c = √(13.2² + 17.7²)

c = 22.08008

≈To the nearest tenth = 22.1

We can solve for Angles A, B, C using Cosine rule

Angle A

a² = b² + c² - 2bc × Cos A

Cos A = b² + c² - a²/2bc

A = Arc cos ( b² + c² - a²/2bc)

A = Arc cos ( 17.7² + 22.1² - 13.2²/2 × 17.7 × 22.1)

A = 36.67563°

≈ To the nearest tenth = 36.7°

Angle B

b² = a² + c² - 2ac × Cos B

Cos B = a² + c² - b²/2ac

B = Arc cos (a² + c² - b²/2ac)

B = Arc cos(13.2² + 22.1² - 17.7²/ 2 × 13.2 ×22.1)

B = 53.21647°

≈Approximately to the nearest tenth = 53.2°

Angle C

c² = a² + b² - 2ab × Cos C

Cos C = a² + b² - c²/2ab

C = Arc cos ( a² + b² - c²/2ab)

C = Arc cos ( 13.2² + 17.7² - 22.1²/2 × 13.2 × 17.7)

C = 90.1079°

≈ to the nearest tenth = 90.1°

Answer:

1743

Step-by-step explanation:

did the math

Answer:

154/9

Step-by-step explanation:

so lets put this in multiplacation form

[tex]2\frac{4}{9} * 7[/tex]

Then put the 2 4/9 in mixed number form

22/9* 7 or...

22/9*7/1

154/9

Answer:

a= 30 b=-78

Step-by-step explanation:

Answer:

1) Option 1

2) Option 2

Step-by-step explanation:

1) 2df+3de

Where d = 10, e = -1 and f = 3

=> 2(10)(3) + 3(10)(-1)

=> 60 - 30

=> 30

2) -2ghi + 3hi

Where g = -5, h = -3 and i = 2

=> -2(-5)(-3)(2) + 3(-3)(2)

=> -60 - 18

=> -78

Answer: The length of PQ is 37 KM

Step-by-step explanation:

(x+15) + 3(x+15)+ x=245

distribute

(x+15) + 3x+45+x

remove parenthesis

x + 15 + 3x + 45 + x

Add like terms

5x + 60 = 245

Subtract 60 from both sides

5x + 60 - 60 = 245 - 60

5x = 185

divide by 5

x = 37

<!> Brainliest is appreciated! <!>

Answer:

Option B.

Step-by-step explanation:

From the given graph it is clear that it is a V-shaped graph. It means, it is the graph of absolute function.

The vertex form of an absolute function is

[tex]y=a|x-h|+k[/tex]

where, a is a constant and (h,k) is the vertex.

From the given graph it is clear that the vertex is at (7,-3). It means h=7 and k=-3.

[tex]y=a|x-(7)|+(-3)[/tex]

[tex]y=a|x-7|-3[/tex]    ...(1)

It passes through (4,0).

[tex]0=a|4-7|-3[/tex]

[tex]3=3a[/tex]

[tex]1=a[/tex]

Put this in (1).

[tex]y=1|x-7|-3[/tex]

[tex]y=|x-7|-3[/tex]

Therefore, the correct option is B.

Answer:

B

Step-by-step explanation:

7/16 times 1/2 would be 7/32 because when you multiply fractions you multiply the top and the bottom like this

7 x 1

and 16 x 2

using this logic you can multiply both fractions to make

7/32

Answer:B) 7/ 32

alll you gotta do is multiply across and its already simplified

Answer: A

Step-by-step explanation:

So we know that to find the area of a triangle you have to multiply the base times the height and divide it by two or multiply it by 1/2.Looking the information given it say that theta is equal to 26 degrees  and the length of a or the hypotenuse is 25 and b which in this case is the base is 32. So the information gives us the base but now we need to find the height.

To find  H we need to apply trigonometry solve for h the height.

As we could see theta which is 26 degrees is opposite the height and we know the hypotenuse length. So using soh cah toh we have to know that the length of h is  going to be using the sin formula opposite over hypotenuse.

[tex]sin(26)=\frac{h}{25}[/tex]    solve for h by multiplying both sides by 25.

h= 25 sin(26)

h= 10.96   is being rounded to the nearest hundredth because that is essential

Now we know H is equal to 10.96  which is the Height so now we have all the information we need the height and the base.

Multiply 10.96 by 32 and divide it by 2.

10.96 * 32 =  350.72

350.72 /2 = 176.36  

The best answer is A  because that is the only best approximation to 175.35.

Answer:

Find out how much is 1

Multiply 1/2 by 2 to get 1 and multiply 14 by 2 so the ratio is equal

1/2 x 2 = 1

14 x 2 = 28

so 1 = 28

Multiply everything 28

I'm pretty sure I have it in order clockwise

3/14 x 28 = 84/14 = 6/1 = 6

1/14 x 28 = 28/14 or 2

5/7 x 28 140/7 = 20

3/7 x 28 = 84/7 = 12

2/7 x 28 = 56/7 = 8

1/7 x 28 = 28/7 = 4

3/4 x 28 = 84/4 = 21

1/4 x 28 = 28/4 = 7

I'm guessing the middle would be 1 is 28

Hope this helps

Step-by-step explanation:

Answer:

-1/128

Step-by-step explanation:

1,-1/2,1/4,-1/8,1/16,-1/32,1/64,-1/128

The answer would be letter B

Answer:

1.25MilesPerMinute

Step-by-step explanation:

Answer:

The sum of all digits in the first 25 counting numbers is 127

Hope this helps

Answer:

Step-by-step explanation:

[tex]a =5\\r = -2\\Tn = ar^{n-1} \\T8 =5(-2)^8^-^1\\T8 = 5(-2)^7\\T8 = 5* -128\\T8 = -640[/tex]

Answer:

For a geometric sequence

U(n) = ar^n-1

where

a = first term

r = common ratio

n= number of terms

From the above statement

a = 5

r = -2

n = 8

U(8) = 5(-2)^8-1

= 5(-2)^7

= - 640

Hope this helps

Answer:

KE = 1/2mv²

Step-by-step explanation:

The answer above is the formula for calculating kinetic energy. It is wise to remember it.

Answer:

Here is the answer np! :)

Step-by-step explanation:

Answer:

The sum of the interior angles is 360 degrees.

Step-by-step explanation:

Answer:

7 formas

Step-by-step explanation:

En la pastelería, se han preparado 30 pasteles.

Cada bandeja contendrá la misma cantidad de pasteles.

Para encontrar de cuántas maneras puedes ponerlos, tenemos que encontrar los factores de 30. Ellos son:

1, 2, 3, 5, 6, 10, 15, 30

Esto significa que podemos tener:

30 bandejas que contienen 1 bandeja cada una

15 bandejas con 2 tortas cada una

10 bandejas con 3 tortas cada una

6 bandejas con 5 tortas cada una

5 pasteles que contienen 6 pasteles cada uno

3 bandejas con 10 pasteles cada una

2 bandejas con 15 tortas cada una

Esto significa que hay 7 formas de colocar los pasteles.

Answer:

p = 11.2

Step-by-step explanation:

The computation is shown below:

Data provided in the question

2.6(5.5p – 12.4) = 127.92

Now

Distributive Propertyis

14.3p - 32.24 = 127.92

Addition Property is

14.3p = 127.92 + 32.24

Division Property is

14.3p ÷ 14.3 = 160.16 ÷ 14.3

p = 11.2

We simply find the value of p by applying the distributive property, addition property, and the division property and the same is to be considered

Answer:

The Answer is 11.2

Step-by-step explanation:

Answer:

6.04 km

Step-by-step explanation:

From the image attached, both triangles form are similar to each other because their corresponding angles are equal, therefore they are equiangular triangles. equiangular triangles have the same shape but different sizes and the ratio of their corresponding sides are equal.

Therefore since their corresponding sides are equal we can calculate the distance from the main gate to Manatee Springs. It is given by:

[tex]\frac{3500\ yards}{2000\ yards} = \frac{4200\ yards}{x}\\ x= \frac{4200\ yard*2000\ yards}{3500\ yards}=2400\ yards[/tex]

x = 2400 yards.

The distance from the main gate to Manatee Springs = x + 4200 yards = 2400 + 4200 = 6600 yards

The distance from the main gate to Manatee Springs = 6600 yards = (6600 * 0.0009144) km = 6.04 km

The distance from the main gate to Manatee Springs = 6.04 km

Answer:

(6, 2)

Step-by-step explanation:

Step 1: Substitute y in the 1st equation

2x + 2(x - 4) = 16

Step 2: Solve for x

2x + 2x - 8 = 16

4x - 8 = 16

4x = 24

x = 6

Step 3: Plug in x to find y

y = 6 - 4

y = 2

Answer:

-5

Step-by-step explanation:

We can find the slope between two points by using

m = (y2-y1)/(x2-x1)

    = ( -9-6)/(-6 - -9)

   =(-9-6)/( -6+9)

  -15/3

   -5

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 9, 6) and (x₂, y₂ ) = (- 6, - 9)

m = [tex]\frac{-9-6}{-6+9}[/tex] = [tex]\frac{-15}{3}[/tex] = - 5 → C

Answer:

120

Step-by-step explanation:

The options are:

flake view, screened-in balcony, upgraded landscaping, pool - 5 in total

Using the fundamental counting principle formula - n! where n is the number of elements = 5, we have

n! =5! = 5x 4 x 3 x 2 x 1 = 120.

There are 120 120 options for purchasing a house in the community.

Answer:

x = mn+y

Step-by-step explanation:

=> [tex]m = \frac{x-y}{n}[/tex]

Multiplying n to both sides

=> x-y = mn

Now, Adding y to both sides

=> x = mn+y

Answer:

x = m n + y

Step-by-step explanation:

X Y

-2 11

-1 7

0 3

1 -1

2 -5

-2 = 16 times minus 2 plus 4y equals to 12

-1 = 16 times minus 1 plus 4y equals to12

0 = 16 times 0 plus 4y equals to 12

1 = 16 times 1 plus 4y equals to 12

2 = 16 times 2 plus 4y equals to 12

Therefore,

-2 = 16 * -2 + 4y = 12

-32 + 4y = 12

4y = 12 + 32

4y = 44

y = 44/4

y = 11

-1 = 16 * -1 + 4y = 12

-16 + 4y = 12

4y = 12 + 16

4y = 28

y = 28/4

y = 7

0 = 16 * 0 + 4y = 12

0 + 4y = 12

4y = 12 + 0

4y = 12

y = 12/4

y = 3

1 = 16 * 1 + 4y = 12

16 + 4y = 12

4y = 12 - 16

4y = -4

y = -4/4

y = -1

2 = 16 * 2 + 4y = 12

32 + 4y = 12

4y = 12 - 32

4y = -20

y = -20/4

y = -5

Answer:

-a^2 -a + 12

Step-by-step explanation:

You have to multiply all four together.

-a times a = -a^2

-a times 4 = -4a

3 times a = 3a

3 times 4 = 12

Add them all together =

-a^2 - a + 12

The answer is :

-a^2-a+12

Step-by-step explanation:

-a(a) is -a

-a(4) is -4a

3(a) is 3a

3(4) is 12

So,

-a^2-4a+3a+12

Simplify

-4a+3a is -a bcz -4+3 is -1

Final answer

a^2-a+12

Answer:

x + 3

Step-by-step explanation:

Since the fractions have the same denominator we can add them. Adding them gives us (x + 3) / y so the numerator is x + 3.

Answer:

x + 3

Step-by-step explanation:

Answer:

There is a possibility of births and deaths. This also, informs us of a larger population.

Step-by-step explanation:

This is because there are 333% more rabbits without a tag than with one. This giving us the possibility shown above!

Mark as brainliest

Answer:  560 total rabbits

Step-by-step explanation:

Your assumptions are great but you can also add the assumption that the ratio of the rabbits caught on Monday is the same ratio of the rabbits caught on Tuesday.

[tex]\text{Tuesday:}\quad \dfrac{15\ tags}{70\ rabbits}=\dfrac{3\ tags}{14\ rabbits}\ \leftarrow simplified[/tex]

Assumption:

3/14 of the total rabbits on the farm = 120 tagged on Monday

Let r represent the total rabbits on the farm

then (3/14)r = 120

                r = 120(14/3)

                r = 560