Answer: 39
Step-by-step explanation:
Answer:
On average, Tonya makes $312 more than Emily on a typical day.
Step-by-step explanation:
I was just studying that question a few hours ago
Answer:
cos(θ) = 3/5
Step-by-step explanation:
We can think of this situation as a triangle rectangle (you can see it in the image below).
Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.
Here we want to find cos(θ).
You should remember:
cos(θ) = (adjacent cathetus)/(hypotenuse)
We already know that the adjacent cathetus is equal to 3.
And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:
3^2 + 4^2 = H^2
We can solve this for H, to get:
H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5
The hypotenuse is 5 units long.
Then we have:
cos(θ) = (adjacent cathetus)/(hypotenuse)
cos(θ) = 3/5
<u>Part 1)</u> Use the fact that there are 12 inches in a foot
a) How many inches tall is a 7 foot basketball player?
we know that
1 foot=12 inches
so by proportion

therefore
<u>the answer Part 1a) is</u>

Part b) If a yard is a 3 feet long, how many inches are in a yard?
we know that
1 yard=3 feet
1 foot=12 inches
so
Convert 3 feet to inches
by proportion
therefore
<u>the answer Part 1b) is</u>

<u>Part 2) </u>At the farmer's market two pounds of peaches cost $4.20 How much will five pounds cost?
by proportion
therefore
<u>the answer Part 2) is</u>

<u>Part 3) </u>Janice mother gave her a ten dollars bill to buy five pounds each of bananas and apples at the grocery store. When she got there she found that bananas were 80 c per pound and apples were $1.40 per pound.
Did Janice's mother give her enough money? If so, should she receive any change? If not, how much more money does she need?
we know that
<u>Find the cost of the bananas</u>

<u>Find the cost of the apples</u>

Sum the cost of the bananas and the cost of the apples

------> Janice's mother didn't give her enough money
She needs more money
She needs-------> 
therefore
<u>the answer part 3) is</u>
She needs
more