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mixas84 [53]
3 years ago
8

I NEED HELP ASAP PICK ALL

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0

Answer: I'm serious, where is your question? no question posted here sir.

You might be interested in
For which value(s) of x are the triangles congruent?​
Varvara68 [4.7K]

Step-by-step explanation:

The solutions are 2 and 5

Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:

x^2 = 7x - 10

Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.

x^2 + 10 = 7x

Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.

x^2 - 7x + 10 = 0

Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.

(x - 2)(x - 5) = 0

You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.

x - 2 = 0

x = 2

One of the solutions is 2, because you add 2 to x to get 0.

x - 5 = 0

x = 5

The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.

2^2 = 7(2) - 10

4 = 14 - 10

So 2 is definitely a solution.

5^2 = 7(5) - 10

25 = 35 - 10

5 is also a solution.

Hope that helps :]

8 0
2 years ago
The cost of attendance at State College is $19,500 for the first year. Devise a periodic savings plan that will allow you to mak
ValentinkaMS [17]
We are told to use simple interest rate. Formula for this is:
A=P*(1+r*t)

Where:
A= total accumulated amount (principal + interest)
P= principal
r= yearly percentage rate
t= number of years

We need to save $19500 for the first year at a college. This is the amount we will have at the account after five years. In our case this is A.
Principal is the amount we need to put into savings to get the total amount needed. In our case this is P.
Yearly percentage rate is the percentage by which our savings increase at the end of a year. In our case this is r.
t is number of years that we are holding our money on the bank account.

To solve this problem we will assume that we are putting same amount each month on the bank account.

We are given:
A=$19500
P=?
r=1.5%
t=5 years

First step is to transform r into decimal number:
r= \frac{1.5}{100} =0.015

Now we get back to our formula and we solve it for P:
A=P*(1+r*t) \\ P= \frac{A}{1+r*t}
We insert numbers and we get our principal:
P= \frac{19500}{1+0.015*5}  \\ P=18139.53

We need to put $18139.53 into savings to get required amount after 5 years or 5*12=60months. Assuming that we put same amount each month into savings we need to put
18139.53 / 60 = 302.33

This is our solution for this problem. This is closest to the amount we would need to put in real life. In real life we would earn interest onto interest and our monthly amount would be smaller.
3 0
3 years ago
The length of a rectangle is the sum of the width and 4. The area of the rectangle is 32
Sauron [17]

Answer:

The width of rectangle w = 4 units

Step-by-step explanation:

We are given:

Width of rectangle = w

Length of rectangle = w+ 4

Area of rectangle = 32 units

We need to find width of the rectangle

The formula used is: Area\:of\:rectangle=Length\times Width

Putting values and finding width of rectangle

Area\:of\:rectangle=Length\times Width\\32=(w+4)\times w\\32=w^2+4w\\w^2+4w-32=0

We need to solve this quadratic equation to find width (w)

We will use factorisation and break the middle term.

w^2+4w-32=0\\w^2+8w-4w-32=0\\w(w+8)-4(w+8)=0\\(w-4)(w+8)=0\\w-4=0\:or\:w+8=0\\w=4\:or\:w=-8

Since width of rectangle can't be negative, so rejecting w=-8

Therefore, the width of rectangle w = 4 units

4 0
2 years ago
State whether the triangles ABC and MNO are similar or not and explain how you know.
AleksAgata [21]
Triangles ABC and MNO are similar:
1.) same shape-different size
2.) corresponding angles are equal-both triangles are isosceles triangles.
3.) corresponding sides are in the same ratio 12/7.5=8/5=1.6
4 0
2 years ago
An 8 foot piece of cotton cloth costs $ 3.84. What is the price per inch?
Alla [95]
It would cost 0.04 cents per inch (or .48 cents per foot)
5 0
3 years ago
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