What is the speed (approximately) of a 2.5-kilogram mass after it has fallen freely from rest through a distance of 12 meters?

Answer:

a. 18

b.144

c.108

Step-by-step explanation:

Using the given, Angle R equal 5x-54 and Angle T is 8u.

Also RS is congruent to ST. Since SR is congruent to ST, their opposite angles are also congruent using base angle theorem. So angle R is equal to Angle T. However, STU is a exterior angle so STU isn't congruent to SRT.

However, we can add , interior angle T, and STU to 180 to find x.

Interior angle T=SRT so interior angle t=5x-54.

Set up equation

[tex]5x - 54 + 8x = 180[/tex]

[tex]13x - 54 = 180[/tex]

[tex]13x = 234[/tex]

[tex]x = 18[/tex]

b.Plug 18 into 8x

[tex]8(18) = 144[/tex]

STU=144

c. Using the triangle exterior angle theorem, the exterior angle is equal to the measure of the sum of two non adjacent angles.

Angle S and Angle R are the non adjacent angle to STU.

So we cast up this equation.

[tex]5x - 54 + s = 180[/tex]

plug 18 in for x

[tex]5(18) - 54 + s = 144[/tex]

[tex]90 - 54 + s = 144[/tex]

[tex]36 + s = 144[/tex]

s=108

Answer:

Decimal - 0.19 Fraction - 19/100

Step-by-step explanation:

Answer:

Decimal: 0.19

Fraction: 19/100

Step-by-step explanation:

19% means that there is 19/100 which is also 0.19 as a decimal. I dont really know how to explain this but can you please mark as brainliest?

Answer:

There is a similar problem with the same numbers except with no negatives so it goes 1 , 3 , 9 , 27, 81 for this question the answer is that it diverges.

Step-by-step explanation:

It was on the unit test review for edge and the answer was that it diverges.

This is about  understanding the behavior limits of sequence.

The sequence diverges.

1, –3, 9, –27, 81,...

• Thus, the sequence is a divergent one.

Read more at;

brainly.com/question/23452908

Answer:

y=1/2x-2

Step-by-step explanation:

2y=-4+x

2y=x-4 divide both sides by 2

y=1/2x-4/2

y=1/2x-2

Answer:

[tex]y = 0.5x - 2[/tex]

Step-by-step explanation:

Slope intercept form is

[tex]y = mx + b[/tex]

Our initial goal is to isolate y.

[tex]2y - x = -4[/tex]

Add x to both sides of the equation.

[tex](2y - x) + x = (-4) + x[/tex]

Simplify.

[tex]2y =x -4[/tex]

Divide both sides by 2.

[tex]\frac{2y }{2} = \frac{(x - 4)}2}[/tex]

Simplify.

[tex]y = 0.5x - 2[/tex]

Answer:

y = 5 ; x = 4

Step-by-step explanation:

Given :

5x + 6y = 50 - - - (1)

x - 6y = -26 - - - (2)

From (2)

x = - 26 + 6y

Put - 26 + 6y for x in (1)

5(-26 + 6y) + 6y = 50

-130 + 30y + 6y = 50

-130 + 36y = 50

-130 - 50 = - 36y

-180 = - 36y

y = 180 / 36

y = 5

Put y =5 in x = - 26 + 6y

x = - 26 + 6(5)

x = - 26 + 30

x = 4

y = 5 ; x = 4

Answer:

= 4374.

Step-by-step explanation:

 it is important to understand the pattern hidden in such problem.Let’s give it a try 2, 6, 18, 54 and so on.It can be written as 2, 3*2, 9*2, 27*2 and so on.

This can be further written as2 (1, 3, 9, 27, and so on) as 2 is common in every term.Now if you see the chain 1,3,9, 27 and so….you will see a pattern hidden i.e. 3=1*3 ,9=1*3*3, 27=1*3*3*3 now 27 is the 4th term consist of three 3. So 8th term would consist of seven 3. 8th would be 8th term = 1*3*3*3*3*3*3*3 = 2187 Hence the 8th term for the series 2,6,18,54 would be= 2*2187 = 4374.

Answer:

40

Step-by-step explanation:

Answer:

1.28

Step-by-step explanation:

Assuming in 8a2 the '2' represents an exponent, you answer should be

1.28

Answer:

11

13

15

23

Step-by-step explanation:

you substitute each x value in the table with the x in the equation

f(x)= 2x+13

f(x)= 2(-1)+13 .... repeat for each

11

13

15

17

20

In order from the top

Answer:

There is no answer because we dont know how many square inches his moms present is.

Answer:

36, 49, 64, 81

Step-by-step explanation:

The pattern goes up in odd numbers (+3, +5, +7 ...)

Answer:

8x+12

Simplifying

8x + 12

Reorder the terms:

12 + 8x

Factor out the Greatest Common Factor (GCF), '4'.

4(3 + 2x)

Final result:

4(3 + 2x)

Answer:

∠Y = 55°

Step-by-step explanation:

Since triangle ABC and XYZ are congruent, that means that...

∠A = ∠X

∠B = ∠Y

∠C = ∠Z

Since ∠Y = ∠B and ∠B = 55°, that means ∠Y = 55°.

Answer:

21.42ft

Step-by-step explanation:

a²+b²=c² where "c" is the hypotenuse of a right triangle and "a" and "b" are the two other sides

now let's plug in the values

21²+b²=30²

b²= 30² - 21²

b²= 459

b= 21.42

Answer: A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

For one scientific notation will not work with negative exponents therefore we can eliminate answer choices A and D

Secondly scientific notation usually has a decimal

Answer choice c does not have a decimal point leaving us with answer choice B

Answer:Simple interest is money earned on a savings account or an investment. ... 45. Multiply. The interest earned is $45 after 3 years. b. To find the balance, add the interest to ... 2. You put $1000 in an account. The account earns $100 simple interest ... of $10,000 to earn $750 interest? ... interest earned on $200 after 8 months.

Step-by-step explanation:

Answer:

t=7

Step-by-step explanation:

N=45

find t

45=t^2-t/2

0=t^2-t/2-45

use the quadratic formula

t=6.96~=7

Answer:

Step-by-step explanation:

45 = t2 - t/2

45 = 30(2) - 30/2

45 = 60 - 15

45=45

Answer:

d i have done this before

Step-by-step explanation:

Answer:

It is B

Step-by-step explanation:

If im wrong sorry but i got big brain :0

Answer:

d)

Step-by-step explanation:

turn 9x + y = 8 to slope intercept form

9x + y = 8

-9x         -9x

y = -9x + 8

m = -9

y intercept = 8

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

3. 25

4. 22

5. 14

6. 12

7. 45

Step-by-step explanation:

12x4=40+8

20-12=2x4

25-4=3x7

4x9=31+5

16+12=7x4

38-5=3x11

6x7=46-4

Step-by-step explanation:

28 days. it'll be Emily's 7th visit and Scotts 2nd.

28 is the lowest common factor

Answer:Yes, they are similar.

If two triangles are congruent then all corresponding sides as well as corresponding angles of one triangle are equal to those of other triangles. This can happen in four cases

Step-by-step explanation:

Answer:

yes the are similar

Step-by-step explanation:

they are similar since they both have a 90⁰ angles and the lines are =. but I don't know if they count the size of the triangle if yes then they are not similar since they do not have the same area

Answer:

2(x+1)(3x+1)

Step-by-step explanation:

(2x+2)(3x+1)

Apply the distributive property by multiplying each term of 2x+2 by each term of 3x+1.

6x^2+2x+6x+2

Combine 2x and 6x to get 8x.

6x^2+8x+2

Answer:

6x²+8x+2

Step-by-step explanation:

multiply each ferm in the first set of parenthess by each term in the second parentheses (FOIL)

2x times 3x +2x+ 2x times 3x+2

6x+2x+2 times 3x +2

6x²+2x+6x+2

now collect like terms

6x²+8x+2

Answer:

A- the graph of f(x) is shifted 7 units down

Step-by-step explanation:

Answer:

x+5=12

x+7=15

x+ 1/2=1

x+1/3=1

4(x+1)= 8

1.5+x=3

Olivia is 5 years older than Nicole. The sum of their ages is 35. How old is each girl?

Step-by-step explanation:

how this helps!

Answer:

-20x+15

Step-by-step explanation:

You use foil method so you distribute it and it becomes -5*4x amd -5*-3 so it would be -20x+15

-5 x 4x=-20x and -5x x -3 = +15

-20x+15 is the answer

Answer:

a

Step-by-step explanation:

both the end points are around the same number

Answer:

it would be 128 because 8 divded 2 is 4. 4 is the number of cereal boxes now multiply 4 x32 which would be 128