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Alex
3 years ago
6

Dan invests £800 into his bank account.

Mathematics
1 answer:
Ronch [10]3 years ago
6 0

Answer:

£160

Step-by-step explanation:

Ammount he receives per year times 4.

800 x 0.05 x 4

= £160

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How do you solve this one 10x^2-25=x^2
solong [7]
10x^2 - 25 = x^2
Take the square root of each side.

\sqrt{x^2} =  \sqrt{10x^2 - 25}
x = 10x - 5i




4 0
3 years ago
Triangular numbers can be represented with equilateral triangles formed by dots the first fire triangle numbers are 1 3 6 10 and
zhannawk [14.2K]

Answer:

There's no direct variation

Step-by-step explanation:

Required

Determine if there's a direct variation between the number and its position

I'll start by giving an illustration of how the triangle is represented using stars (*)

*

**

***

****

*****

Represent the line number with y and it's position with x

On line 1:

y = 1, x = 1

On line 2:

y = 2, x = 3

On line 3:

y = 3, x = 6

On line 4:

y = 4, x = 10

On line 5:

y = 5, x = 15

Note that, x is gotten by calculating the accumulated number of stars while y is the line number.

Direct variation is represented by

y = kx

Or

kx = y

Where k is the constant of variation

For line 1:

Substitute 1 for y and 1 for x

k * 1 = 1

k = 1

For line 2:

Substitute 2 for y and 3 for x

k * 3 = 2

Divide through by 3

k = ⅔

Note that the values of k in both computations differ.

This implies that there's no direct variation and there's no need to check further.

3 0
2 years ago
If point R is the centroid of triangle ABC what is the perimeter of triangle ABC given that segments CF DB and AE are equal to 2
Naddik [55]
Hiiiiiiiiiii beautiful
3 0
3 years ago
Read 2 more answers
Find the length to the nearest centimeter of the diagonal of a square 30 cm. on a side
tiny-mole [99]

Answer:

42 cm.

Step-by-step explanation:

Please find the attachment.

Let x be the length of diagonal of the square.

We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.

We can see from our diagram that triangle AC is the diagonal of our square.

Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.

AC^2=AD^2+DC^2  

Upon substituting our given values in above formula we will get,

x^2=(30\text{ cm})^2+(30\text{ cm})^2

x^2=900\text{ cm}^2+900\text{ cm}^2

x^2=1800\text{ cm}^2

Let us take square root of both sides of our equation.

x=\sqrt{1800\text{ cm}^2}

x=42.4264\text{ cm}\approx 42\text{ cm}

Therefore, the length of diagonal of our given square is 42 cm.

8 0
3 years ago
What are the factors in the expression 4x(3x^2+5y)?
Bess [88]

4x(3x²+5y) expand by distributing terms

4x*3x²+4x*5y take out the constants

(4*3)xx²+4x*5y simplify 4*3 to 12

12xx²+4x*5y use product rule=xᵃxᵇ=xᵃ+ᵇ, and change the two variables (the x's) into ones, because if there is just one variable with no number by it, then it is a one.

12x¹⁺²+4x*5y and simplify 1+2 to 3.

12x³+4x*5y finally simplify 4x*5y to 20xy

12x³+20xy

Hope this helps, now you know the answer and how to do it. Stay healthy and safe and HAVE A BLESSED AND WONDERFUL DAY! :-)

- Cutiepatutie ☺❀❤

7 0
3 years ago
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