Answer:
<h2>The distance from the pitcher's mound and to second base is 37.99 approximately.</h2>
Step-by-step explanation:
The diamond is a square, which in this case has 50 feet long each side, and from home to pitcher is 38 feet. Notice that home is a vertex of the square and the pitcher's mound is the intersection of the diagonals, where they cut half.
We can find the distance from the pitcher to first base using Pythagorean's Theorem, where 50 feet is the hypothenuse.
Therefore, the distance from the pitcher to first base is 32.5 feet, approximately.
Now, we can use again Pythagorean's Theorem to find the distance from pitcher to second base, where the hypothenuse is 50 feet.
Therefore, the distance from the pitcher's mound and to second base is 37.99 approximately.
<em>(this results make sense, because the diagonals of a square intersect at half, that means all bases have the same distance from pitcher's mound, so the second way to find the distance asked in the question is just using theory)</em>
The total amount of loan payable in 5 years = amortization *60
where:
monthly amortization = $444.89
Total amount of car loan = $26263.4
Remaining balance =15 months x monthly amortization
Remaining car loan balance = $6673.35
Jose needed an amount of $6673.35 to fully pay his five-year car loan.
Answer:
47, 49, 51, 53
Step-by-step explanation:
I don't know how your teacher wants you to do it, but the formula for odd integers in this case would be (n+1) + (n+3) + (n+5) + (n+7) = 200.
The four odd integers are represented by each set of parentheses. If we find n, we can add 1, 3, 5, and 7 to it to get the four numbers you're looking for.
If we subtract all of the constants from the left side and add all every n, we get 4n = 184. We then divide both sides by 4, and the answer is n = 46.
(n+1) = 47, (n+3) = 49, etc.
Hope this helps!
-Lacy
For this case we can use the law of the sine to solve the problem.
We have then:
From here, we clear the value of x.
We have then:
Rewriting we have:
Answer:
The angle R is given by:
x = 68 degrees
option B
Answer:140
Step-by-step explanation:
35% of 400=0.35x 400 because of means multiply.
So 0.35x400=140
