Answer:
Step-by-step explanation:
<u>Given GP with </u>
<u>Let the common difference is r, then</u>
<u>Solve for r and then a₁:</u>
- 4r = 7 ⇒ r = 7/4
- a₁(7/4)³ = 4
- a₁ = 4*(4/7)³ = 4⁴/7³ = 256/343
Answer:
a) 2.5
b)2.33
Step-by-step explanation:
a)
Bring the numerals to the right hand side and the x terms to the left hand side
Simplify
Divide 3 on both sides, to get x
b)
Bring the numerals to the right hand side and the x terms to the left hand side
Simplify
Answer:
Step-by-step explanation:
Let the number be 
.
Then,
This implies that;
We multiply both sides by 
to obtain;
Or
Answer:
Option 4, 64 cm^2
Step-by-step explanation:
The polygon in the shape of a star can be made to be easier to find the area of by cutting it into triangle. For all the "point edges" of the star, we can cut them in half from the vertex to create two right-angled triangles at each edge.
The formula of the area of a triangle is bh/2: the height is given as 6cm, the base is 4cm /2 (after you cut it in half) and so is 2 cm. Since the edges can be cut into two, there are 8 right angled triangles at the edges in total.
To find the area of them:
A=8(bh/2)=8(2*6/2)=48 cm^2
However, we are still missing the part at the centre we haven't found the area of, the square. The area of a square is given by the square of the side length(4cm). Thus, A=4*4=16cm^2
Adding the areas of all the edges and the square:
48 + 16 = 64cm^2
Hence, the area of the polygon is 64cm^2
3(5b-1)=5
Get rid of the brackets
15b-3=5
add 3 to both sides of the equation
15b=8
divide both sides of the equation by 15
b=0.53
4(3y-1)=20
12y-4=20
12y=24
y=0.5
