Answer:
3 3
6 9
9 15
12 21
Step-by-step explanation:
For the time add 3 each time
For the distance add 6 each time
Answer:
<em>a = </em>60°
<em>b </em>=<em> </em>120°
Step-by-step explanation:
First, you can find measure <em>a </em>by using the first shape. There are six rhombuses, and you can use the innermost <em>a </em>of each one to form a circle. A full circle is 360°, so divide 360 by six. The answer is sixty. So on the next shape, the <em>a</em> measurements add up to 120°. Subtract that from the circle: 360 - 120 = 240. And since there are two measurements for <em>b</em>, you would divide 240 by two. The answer is 120.
To check your work, use the knowledge that circles are 360° (the four interior corners of a rhombus will also add up to 360°. 2(120) + 2(60) = 360. Hope this helps! Feel free to ask any questions!
Answer:
£562.43
Step-by-step explanation:
£500 is invested for 3 years at a rate of compound interest of 4% per annum how much will be in the account after three years
Given data
P= £500
t= 3 years
r= 4%
The expression for the compound interest is given as
A= P(1+r)^t
substitute
A= 500(1+0.04)^3
A= 500(1.04)^3
A= 500*1.124864
A= 562.432
Hence the final amount is £562.43
According to your question, there are 2 unknown numbers mentioned.
Let the 2 unknown numbers be represented by the variables x & y, then
x is considered to be one of the numbers being more than y by the addition of 4, .ie.
x = 4 + y --- (1)
The sum of the 2 numbers is 60, i.e.
x + y = 60 --- (2)
To find the smaller number, we solve eqn (1) & (2) using the concept of substitution, i.e. substitute 4 + y for x in eqn (2), i.e.
4 + y + y = 60
4 + 2y = 60
2y = 60 - 4
2y = 56
y = 28 ...Ans.
Recall that x is more than y by 4, then 28 is the smaller number.
Answer:
x= -1/3 and -2
I have made it in above picture
