Jody is buying a scrap book and designed paper she has 40 dollars and needs at least 18.25 to buy a scrap book each seet of paper cost 0.34 how may sheets of paper can she buy
<h3><u>Answer:</u></h3>Jody can buy 63 sheets of paper
<h3><u>Solution:</u></h3>Jody has 40 dollars
Thus, she can spend less than or equal to 40 dollars
She needs at least 18.25 to buy a scrap book
Each seet of paper cost 0.34
Let "s" be the number of sheets of paper
Then,
Thus Jody can buy 63 sheets of paper
For this case we must find a linear equation of the form:
Where,
m: slope of the line
b: cutting point with vertical axis.
For the slope we have the following equation:
Substituting values we have:
We observe that the slope of the line is not defined.
Therefore, the line is vertical.
Thus, the equation of the line is given by:
Answer:
The equation of the line is given by:
The value of h is 11.3.
Solution:
Given data:
The triangle is a right triangle.
θ = 45° and opposite side of θ = 8
The value of sin 45° =
Using trigonometric formula,
Do cross multiplication.
h = 11.3
The value of h is 11.3.
We have a rectangle with a diagonal included. That means we have to use Pythagorean's Theorem to find the missing dimensions. We start with the width as w. The length is 31 more than twice the width, so the length is 2w+31. The hypotenuse (diagonal) is 2 more than the length, so the diagonal measures 2w+33. In a right triangle, the hypotenuse is always the longest side, so we set up Pythagorean's Theorem using the bolded values as such: . Distributing by multiplying we simplify to
. We need to solve for w. Once we do that we can use that value to find the length. What's nice is that the 4w^2 terms cancel each other out. So when we combine like terms and get them all on one side of the equals sign to factor we have
. The 2 numbers that add up to -8 and multiply to -128 are 16 and -8. So the width is either 16 inches or the width is -8 inches. The 2 things in math that will never EVER be negative are time and distance/length. So -8 is out. The width is 16 inches. That means that the length is 2(16)+31, which is 63 inches. There you go!
Answer:
≈ 77 cm²
Step-by-step explanation:
The area of the shaded portion is calculated as
area of outer sector - area of inner sector
= (πR² - π r²) × ( R is the outer radius, r is the inner radius )
= (π × 14² - π × 7² ) ×
= (196π - 49π ) ÷ 6
= 147π ÷ 6
≈ 77 cm² ( nearest whole number )