If the hypotenuse of a right triangle is 2 cm and one leg is √ 3 cm, the exact length of the other leg is _______ cm. A. √ 3
B. 1
C. 3
D. 4
Answers
Answer:
The length of the other leg is 1 cm.
Step-by-step explanation:
By using the pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
As given
If the hypotenuse of a right triangle is 2 cm and one leg is √ 3 cm.
Let us assume that the unknown length be x.
Thus
2² = Perpendicular² + Base²
4 = 3 + x²
x² = 4 -3
x = 1 cm
Therefore the length of the other leg is 1 cm.
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Which of the following numbers has a prime factorization of 2 x 3 x 7?21 48 42 35
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
A.
$355.65
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E.
$17,071.20
Answers
The total finance charge over the course of his loan is $2071.20.
It is required to find the total finance charge.
What is simple & compound interest?
Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.
Given that:
Loan= $15,000
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.
The sum of those 48 payments is ...
=48 × $23.71 =
=$1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.
so his total finance charge will be
= 15 × $138.08
= $2071.20
Therefore, the total finance charge over the course of his loan is $2071.20.
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Answer:
D.
$2,071.20
Step-by-step explanation:
Answers
Answer:
Step-by-step explanation
diameter makes a right angle at the circumference of the circle.
f=90°
f= 90
I hope this helps you!!
Answers
I think 63, but I'm not sure, how do I delete an answer-
Answer:
x=63
Step-by-step explanation:
∠BAC=∠ACD=x(AB∥CD)
∠BCA=∠BAC=x(base∠s, isos△)
∠？BC+∠BCA=90（ext.∠of△）
27+x=90
x=90-27
x=63
Answers
Answer:
the airline can offer 20 different flight paths under the given conditions.
Step-by-step explanation:
If the airline has 6 airports and the plane lands three times without staying in the same place twice, this is essentially a permutation problem. You want to find the number of ways to arrange 3 distinct airports out of 6.
This can be calculated using the formula for permutations of "n" items taken "r" at a time:
nPr = n! / (n - r)!
Where "n" is the total number of items (airports in this case) and "r" is the number of items to be arranged (3 landings in this case), and "!" denotes factorial.
So, in your case, the calculation would be:
6P3 = 6! / (6 - 3)!
= (6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1)
= 120 / 6
= 20
So, the airline can offer 20 different flight paths under the given conditions.
B) 0.8
C) 0.9
D) 0.75
Answers
0.85 is the probability that you will roll an even number or odd prime number
What is Probability?
It is a branch of mathematics that deals with the occurrence of a random event.
A twenty-sided number cube has 10 even numbers (2, 4, 6, 8, 10, 12, 14, 16, 18, 20) and 7 odd prime numbers (3, 5, 7, 11, 13, 17, 19).
To find the probability of rolling an even number or an odd prime number
We need to calculate the total favorable outcomes (even numbers and odd prime numbers) divided by the total possible outcomes (numbers 1 to 20).
Total favorable outcomes = 10 (even numbers) + 7 (odd prime numbers) = 18
Total possible outcomes = 20
Probability = Total favorable outcomes / Total possible outcomes = 17 / 20 = 0.9
Hence, 0.85 is the probability that you will roll an even number or odd prime number
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Answer:
0.85
Step-by-step explanation:
total samples cases = 20
chances that are even or odd prime are 17 chances
2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20
probability = 17/20
= 0.85
Answers
Answer:
Debra can run 10 miles per hour
Step-by-step explanation:
2.5 times 4 = 10