The speed (S) an object falls varies directly with time. If the speed is 49.0 m/s after 5 seconds, then what is the speed after 3 seconds?

S= 16.3 m/s
S=29.4 m/s
S= 3.3 m/s
S= 81.6 m/s

Answer:

C=（9F-32）/5

inverse​：

Step-by-step explanation:

Answer:

[tex]x = 0[/tex] or [tex]x = 1[/tex].

Step-by-step explanation:

Start by adding [tex]1[/tex] to both sides of this equation:

[tex](x - 1) + 1 = (\sqrt{x} - 1) + 1[/tex].

[tex]x = \sqrt{x}[/tex].

If two numbers are equal, their square should also be equal. Therefore, since[tex]x = \sqrt{x}[/tex], it must be true that [tex]x^{2} = (\sqrt{x})^{2}[/tex]. That is: [tex]x^{2} = x[/tex].

Notice that since [tex]x[/tex] is under a square root, the result must ensure that [tex]x \ge 0[/tex].

Subtract [tex]x[/tex] from both sides of the equation:

[tex]x^{2} - x = x - x[/tex].

[tex]x^{2} - x = 0[/tex].

Factor [tex]x[/tex] out:

[tex]x\, (x - 1) = 0[/tex].

Hence, by the Factor Theorem, [tex]x = 0[/tex] and [tex]x = 1[/tex] would satisfy this rearranged equation. Because of the square root in the original equation, these two value must be non-negative ([tex]x \ge 0[/tex]) to qualify as actual roots of that equation.

In this example, both [tex]x = 0[/tex] and [tex]x = 1[/tex] qualify as roots of that equation.

x-1 = \sqrt{x} -1

#BrainliestBunch

Answer:

31.9

Your answer is 31.9.

it's nice helping uhh.

Answer:

31.9

Step-by-step explanation:

To round it to the nearest tenth, look at the hundredths place. Since it is 0, we cannot round up and therefore, the final answer is 31.9.

Answer:

x=400 m is the correct answer

Answer:

916.11 ft³

Step-by-step explanation:

(9×6)×7.83/2×13/3

= 211.41×13/3

= 916.11 ft³

Answered by GAUTHMATH

Answer:

916.11 ft³

Step-by-step explanation:

Answer: reduction

Step-by-step explanation:

ABCD-> 'ABCD

its bc 'ABCD got smaller compared to ABCD

Answer:

It is a reduction.

Step-by-step explanation:

Hope this helped.

Answer:

I put a photo of the answers.

Step-by-step explanation:

For the problems, I turned the whole under into a fraction, flipped the second fraction and multiplied.

Answer:

10m

Step-by-step explanation:

area of a square =s^2

therefore s^2=100

s= under root 100

= 10

Answer:

510°

Step-by-step explanation:

Total Time from 8:10pm to 9:35pm is 1hour 25mins= 85mins

Movement of the minute hand from one point around the clock and back to the same point gives a complete rotation of 360°

if 60mins = 360°

85mins=

[tex] \frac{85}{60} \times 360[/tex]

= 510 degrees

Answer:

Distributive property

Step-by-step explanation:

The rule being shown here is the distributive property, because the first binomial is taken apart and separately multiplied with the other binomial.

Answer:

600

Step-by-step explanation:

Volume=l*b*h=5*12*10=600

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.  

The trigonometry ratios for a specific angle ‘θ’ is given below:

Trigonometric Ratios

Sin θ Opposite Side to θ/Hypotenuse

Cos θ Adjacent Side to θ/Hypotenuse

Tan θ Opposite Side/Adjacent Side & Sin θ/Cos θ

Cot θ Adjacent Side/Opposite Side & 1/tan θ

Sec θ Hypotenuse/Adjacent Side & 1/cos θ

Cosec θ Hypotenuse/Opposite Side & 1/sin θ

Note: Opposite side is the perpendicular side and the adjacent side is the base of the right-triangle. Also, check out trigonometric functions to learn about each of these ratios or functions in detail.Trigonometric Identities

Definition

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

The three sides of the right triangle are:

Hypotenuse (the longest side)

Perpendicular (opposite side to the angle)

Base (Adjacent side to the angle)

Answer: Option 4

CE/DE

Explanation:

Sin = Opposite/Hypotenuse

In triangle DCE the opposite ( angle D ) is CE and the hypotenuse is DE

so sinD = CE/DE

Must click thanks and mark brainliest

Answer:

hello,

Step-by-step explanation:

12²=(x-16)*16

9=x-16

x=25

Relation metric in a right triangle

Answer:

The answer is (0,2)

Step-by-step explanation:

The second quadrant or Quadrant II has coordinates that are ALL positive.

(my favorite quadrant)

The coordinates would look like (4, 5) or (19, 69) and so on.

Answer:

The product of 16 and 26 would be 16 * 26

Step-by-step explanation:

This is because "the product of" means multiplication so *. Making it 16 * 26.

Step-by-step explanation:

9 a = soln

3:9 = 6:n

or, 3/9 = 6/n

or, 3n = 54

or, n = 54/3

so, n = 18

b = soln

n/10 = 6/15

or, 15n = 60

or, n = 60/15

so, n= 4

10) a = 15% of 450

= 15/100 * 450

= 15/10 * 45

or, 15/2 * 9

or,  135/2

= 67.5 g

b= 125% of 60

= 125/100 * 60

= 5/4 * 60

= 5*15

= $75

Answer:

x= Hamburguesa

y=Papas

y=x+50

x+y=1300

x+(x+50)=1300

2x+50=1300

2x=1250

x=625

Calorias de Hamburguesa = 625

Calorias de Papas = 625+50 = 675

Answer: Use employee identification numbers to randomly select 200 employees

Step-by-step explanation:

Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.

From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.

Answer: 63.64 cm² (rounded to the hundredth place)

Step-by-step explanation:

Concept:

Here, we need to understand how to find the area of a circle.

The general formula is: A = πr²

π = 3.14 (or any constants that equals to this value)

r = radius = (1/2) diameter

Solve:

π = 22/7

r = d/2 = 9 / 4 = 4.5

A = πr²

A = (22/7) (4.5)²

A = (22/7) (4.5)²

A = 63.64 cm² (rounded to the hundredthe place)

Hope this helps!! :)

Please let me know if you have any question

Answer:

63.64 cm²

Step-by-step explanation:

r = d/2 = 9 / 4 = 4.5

A = πr²

A = (22/7) (4.5)²

A = (22/7) (4.5)²

A = 63.64 cm² (rounded to the hundredth place)

Answer:

b

Step-by-step explanation:

(-x+2 ) +5 -(x - 2)  [tex]\geq[/tex] 0

-2x+ 9[tex]\geq[/tex]0

x [tex]\leq[/tex]9/2

The students could use what they know of triangle rectangles, in the image below you can see the diagram that the students could use to estimate the height of the tower.

First, the students could use the measuring tape to find the distance between the base of the tower and them, this distance is represented with the variable S in the image below.

Now, using the clinometer, they could find the elevation angle between their viewpoint and the tip of the tower. This would be the angle θ in the image (notice that they should do this from the ground).

So at this point, we know one angle and the adjacent cathetus to that angle.

And we want to find the height of the tower, which is the opposite cathetus to the known angle.

Then we can remember the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing these by the things we know:

tan(θ) = H/S

tan(θ)*S = H

Then, by measuring θ and S, we can find the height.

If you want to read more about triangle rectangles, you can see:

https://brainly.com/question/16893462

Answer:

sqrt(20)

Step-by-step explanation:

The two perpendicular side lengths are equal, so using Pythagoras theorem:

x = sqrt( sqrt(10)^2 + sqrt(10)^2 )

x = sqrt(10 + 10)

x = sqrt(20)

Answer:

[tex]ST = 6cm[/tex]

Step-by-step explanation:

Given

[tex]RS =2x[/tex]

[tex]ST = 3x[/tex]

[tex]RT = 10[/tex]

Required

Find ST

From the question, we understand that S is between R and T.

So:

[tex]RS + ST = RT[/tex]

Substitute known values

[tex]2x + 3x = 10[/tex]

[tex]5x =10[/tex]

Divide both sides by 5

[tex]x =2[/tex]

Given that:

[tex]ST = 3x[/tex]

[tex]ST = 3 * 2[/tex]

[tex]ST = 6cm[/tex]

Answer:

C or 6 centimeters

Step-by-step explanation:

Answer:

yes it is the 10th term in the series

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 7 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{14}{7}[/tex] = 2 , then

[tex]a_{n}[/tex] = 7 [tex](2)^{n-1}[/tex]

Equate [tex]a_{n}[/tex] to 3584 and solve for n

7 [tex](2)^{n-1}[/tex] = 3584 ( divide both sides by 7 )

[tex]2^{n-1}[/tex] = 512 , that is

[tex]2^{n-1}[/tex] = [tex]2^{9}[/tex]

Since the bases on both sides are equal, both 2 , then equate the exponents

n - 1 = 9 ( add 1 to both sides )

n = 10

3584 is the 10th term in the series

Answer:

BC=22

Step-by-step explanation:

Hi there!

We are given an isosceles triangle (notice the markings on m<C and m<B), the length of the sides AB and AC as x-2 and 2x-24 respectively, and we want to find the length of BC (given as x)

In an isosceles triangle, the sides known as the legs (in this case, AC and AB), are congruent to each other

As they both contain x in their side lengths (remember that x=BC), let's set them equal to each other to find the value of x

2x-24=x-2

Add 24 to both sides

2x=x+22

Subtract x from both sides

x=22

So the length of BC is 22

Hope this helps!

x + 133 = 180

x = 180 - 133 (Linear Pair)

x = 47

Therefore x° = 47°

Answered by Gauthmath must click thanks and mark brainliest

Answer:

47

Step-by-step explanation:

reason: Being sum of supplement angle