Answer:7
Step-by-step explanation:
This can be solved by Venn-diagram
Given there are total 5 students who want french and Latin
also 3 among them want Spanish,french & Latin
i.e. only 2 students wants both french and Latin only.
Also Student who want only Latin is 5
Thus Student who wants Latin and Spanish both only is 11-5-3-2=1
Students who want only Spanish is 8 Thus students who wants Spanish and French is 4
Similarly Students who wants Only French is 16-4-3-2=7
(9,40,41) is a Pythagorean Triple, farther down the list than teachers usually venture.
Answer: D. 41 cm
There's a subset of Pythagorean Triples where the long leg is one less than the hypotenuse,
a^2+b^2 = (b+1)^2
a^2 + b^2 = b^2 + 2b +1
a^2=2b+1
So we get one for every odd number, since the square of an odd number is odd and the square of an even number is even.
b = (a^2 - 1)/2
a=3, b=(3^2-1)/2=4, c=b+1=5
a=5, b=(5^2-1)/2 =12, c = 13
a=7, b=24, c=25
a=9, b=40, c=41
a=11, b=60, c=61
a=13, b=84, c=85
It's good to be able to recognize Pythagorean Triples when we see them.
Otherwise we'd have to work the calculator:
√(9² + 40²) = √1681 = 41
Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the length side KJ
In the right triangle JKM
Applying the Pythagoras Theorem

we have


substitute



simplify

step 2
Find the value of cosine of angle MJK in the right triangle JKM

substitute the values

simplify
-----> equation A
step 3
Find the value of cosine of angle MJK in the right triangle JKL

we have

----> remember equation A
substitute the values

Simplify

We are given that Grandma has 14 red roses and 7 pink roses.
In order to represent them on bar modal, we need to make a bar with 14 identical sections for 14 red roses.
And for pink roses, we need to make a bar with 7 identical sections for 7 pink roses.
<em>From the bar graph, we can see that bar for red roses have 7 more boxes than bar of pink roses.</em>
<h3>Therefore, she have 7 more red roses than pink roses.</h3>
Tran has a credit card with a spending limit of $2000 and an APR (annual percentage rate) of 12%. During the first month, Tran charged $450 and paid $150 of that in his billing cycle.
The expression which will find the amount of interest Tran will be charged after the first month is (0.01)(300)
Here 0.01 because it is 1 month tax. 300 is remaining amount as Tran used $450 but paid $150.