Answer:
I will create a five by four matrix to indicate the costs of the products. The matrix will have five vertical columns and four horizontal rolls. The vertical columns will show the product categories and the total costs for all the products and decorations. The horizontal rolls will show the product costs, the decoration costs, and the total costs for each product category.
The size and shape of the matrix will be 5 by 4 with squared boxes.
Step-by-step explanation:
Products/Costs Hats Cards Teddy Total Costs
Product costs $2.50 $0.90 $3.10 $6.50
Decoration costs $1.50 $0.60 $1.70 $3.80
Total costs $4.00 $1.50 $4.80 $10.30
Answer:
Step-by-step explanation:
This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):
![sin^{-1}[sin(2x+30)]=sin^{-1}(1)](https://tex.z-dn.net/?f=sin%5E%7B-1%7D%5Bsin%282x%2B30%29%5D%3Dsin%5E%7B-1%7D%281%29)
On the left, the inverse sin "undoes" or cancels the sin, leaving us with
2x + 30 = sin⁻¹(1)
The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:
2x + 30 = 90 and
2x = 60 so
x = 30
You're welcome!
Answer:
Given the equation: 
A quadratic equation is in the form:
where a, b ,c are the coefficient and a≠0 then the solution is given by :
......[1]
On comparing with given equation we get;
a =3 , b = 10
then, substitute these in equation [1] to solve for c;

Simplify:

Also, it is given that the difference of two roots of the given equation is
i.e,

Here,
, ......[2]
.....[3]
then;

simplify:

or

Squaring both sides we get;

Subtract 100 from both sides, we get

Simplify:
-12c = -96
Divide both sides by -12 we get;
c = 8
Substitute the value of c in equation [2] and [3]; to solve 

or
or

Simplify:

Now, to solve for
;

or
or

Simplify:

therefore, the solution for the given equation is:
and -2.
Answer: 1. is 50 2. is 111 3. is 26 4. is 45 and 5. is 51
Step-by-step explanation: The formula for Pythagorean theorem is A^2 plus B^2 = c^2
Sry that took so long did it wrong at first
Answer:
47.5 miles
Step-by-step explanation:
So, every morning, you travel 4.75 miles to get to school... and another 4.75 miles in the afternoon to return.
So, each day, you travel a total of 9.5 miles (4.75 + 4.75) to go school and back.
On a typical school week, you'll go to school 5 times... so you'll need to travel a total of 47.5 miles (5 * 9.5).