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pentagon [3]
3 years ago
5

I'm trying to rearange this equation so that t is the subject and i need help

Mathematics
1 answer:
gregori [183]3 years ago
6 0
Work backwards.

s=ut+(at^2)/2

Subtract ut.

s-ut=(at^2)/2

Multiply by 2.

2(s-ut)=at^2

Divide by a.

2(s-ut)/a=t^2

Find the square root:

\sqrt{2(s-ut)/a}=t
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Find the area of the figure.<br> 1.
Vesnalui [34]

Answer:

14cm²

Step-by-step explanation:

Add up all the squares and the other bits to get the answer.

3 0
2 years ago
Ayden is making smoothies. Each smoothie needs 1/4 cups of yogurt. He has 2 1/2 cups of yogurt. How many smoothies can he make?
Mumz [18]

Answer:

Ayden can make 10 smoothies

Step-by-step explanation:

1 cup of yogurt would be equal to four 1/4 cups.

2 cups of yogurt would be equal to eight 1/4 cups.

1/2 cup of yogurt would be equal to two 1/4 cups.

If two cups of yogurt equals eight 1/4 cups and 1/2 cup equals two 1/4, Ayden would be able to make 10 smoothies with the amount he has.

5 0
3 years ago
Read 2 more answers
Plzz anyone solve all answers plzzzzzzzz​
algol13

You posted a lot of problems here. In the future please only post one problem at a time. Thank you.

I'll do the first two problems to get you started. Hopefully it will help you finish off the rest of the questions.

==========================================

Problem 1

{18, a, b, -3} is an arithmetic sequence or arithmetic progression (AP).

This means we have some number d added on to each term to get the next term.

first term = 18

second term = first term + d = 18+d = a

third term = second term + d = (18+d)+d = 18+2d = b

fourth term = third term + d = (18+2d)+d = 18+3d = -3

----

Let's solve that last equation for d

18+3d = -3

18+3d-18 = -3-18

3d = -21

3d/3 = -21/3

d = -7

----

The value d = -7 tells us to add -7 to each term to get the next term. In other words, we subtract 7 from each term to get the next term

first term = 18

second term = first term + d = 18+d = 18+(-7) = 18-7 = 11

third term = second term + d = 11+d = 11+(-7) = 11-7 = 4

fourth term = third term + d = 4+d = 4+(-7) = 4-7 = -3

----

We see that a = 11 and b = 4 are the second and third terms respectively.

Therefore, a+b = 11+4 = 15

-------------

<h3>Answer: 15</h3>

==========================================

Problem 2

A multiple of 4 is in the form 4*n for some integer n, ie n is a whole number.

We want to know which values of 4*n are between 10 and 250.

----

Divide both 10 and 250 by 4 to get the following

10/4 = 2.5

250/4 = 62.5

If n = 2, then 4*n = 4*2 = 8 is not between 10 and 250; however n = 3 will make 4*n = 4*3 = 12 to be between 10 and 250. We see that n = 3 is the smallest possible allowed value.

If n = 62, then 4*n = 4*62 = 248 is between 10 and 250; while n = 63 will make 4*n too big because 4*63 = 252. The largest n can get is n = 62

----

The question posed in question 2 is equivalent to asking the following: "How many values are in the set {3, 4, 5, ..., 60, 61, 62}?"

You could count all of the values in the set, but that exercise is very tedious busywork. There's a much faster way. First lets consider the set below

{a, a+1, a+2, ..., b-2, b-1, b}

where a,b are integers. Basically this set starts at 'a', counts up until we get to 'b'. The handy formula

c = b-a+1

will provide the exact count of values in the set {a, a+1, a+2, ..., b-2, b-1, b}

----

In this case, a = 3 and b = 62, making

c = b-a+1

c = 62-3+1

c = 60

There are 60 values in the set {3, 4, 5, ..., 60, 61, 62}

There are 60 multiples of four that are between 10 and 250.

-------------

<h3>Answer: 60</h3>
4 0
3 years ago
WILL MAKE BRAINLIEST!!! <br> Match the correct scale factor to each dilation.<br> Solve for a and b
White raven [17]

Answer:

I am having a hard time reading the letters, so I hope this makes sense.  I think that the numbers for the top triangles is given is 6 and 3.  That means that the scale factor from the little to the big is 2 and from the big to the little is 1/2.  It is the same for the bottom triangles.

Step-by-step explanation:

If the triangles are similar the scale factors will be the same for all three corresponding sides of the triangle.  You find the two sides that are corresponding and ask yourself what do I have to multiple the side of of triangle to get the new triangle.  

If one side is 3 and the other triangles side is 6.  I am asking myself what do I have to multiple 3 by to get 6?  2.  That is my scale factor.

3x = 6

x = 2

The scale factors are always reciprocals of each other.  If I go the other direction I can write the equation

6x = 3 and when I divide both sides by 6, I get a scale factor of 1/2.

The bottom triangles:

2.5 x = 5

x = 2

and

5x = 2.5

x =1/2

4 0
2 years ago
What type of angle is created by the intersection of two perpendicular lines rats or line segment
zmey [24]

It should be a right angle (90º).

6 0
3 years ago
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