Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows create 2 similar right-angled triangles.
that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.
so,
42 × f = 6
f = 6/42 = 1/7
the length of Joel's shadow is then
20 × f = 20 × 1/7 = 2.857142857... ft
Answer:
1. sum of term = 465
2. nth term of the AP = 30n - 10
Step-by-step explanation:
1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore
sum of term = n/2(a + l)
where
a = 1
l = last term = 30
n = number of term
sum of term = 30/2(1 + 30)
sum of term = 15(31)
sum of term = 465
2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......
The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;
a = 20
d = 30
nth term of an AP = a + (n - 1)d
nth term of an AP = 20 + (n - 1)30
nth term of an AP = 20 + 30n - 30
nth term of the AP = 30n - 10
The nth term formula can be used to find the next term progressively. where n = number of term
The sequence will be 20, 50, 80, 110, 140, 170, 200..............
Answer:
£ 631
Step-by-step explanation:
Hi this is a simple mathematics issue.
First, let's imagine what is 3%. '3 percents' means 3/100. If your family have 100 apples and you have 3 apples, that means you have 3% of your family apples.
Now, get back to this problem. We need to find the price before increase. Let's say the price was £ X. Now we will find the X number.
It's said that the price was increased by 3%. That means they took 3% of X and added that amount to X to have the new price : £ 650. That means we have this equation :
650 = X + 3%×X
Let's make it easier to look :
650 = X + 3/100 ×X
650 = X×( 1+ 3/100)
= X × 103/100
So we can see 650 is equaled to X multipled by 103/100.
To find the correct answer, simply divide 650 by 103/100.
*A hint: When you divide a number by a fraction, you can simply put the number multiplied by the "flipped" fraction .
Hope you learn with Joy and High Grades !!!
(-4,6)
The x value changes bc since it is a reflection y cannot change and x becomes negative
32 (forwards) /16 (team's) =2 forwards on each team 80 (gaurds) / 16 (team's) =5 gaurds on each team
