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2 years ago

Find the side of an equilateral triangle if its area is 25√3 cm2

Mathematics

1 answer:

Sever21 [200]2 years ago

4 0

Answer:

Step-by-step explanation:

area=√3/4×a^2

100√3 = √3×a^2

a^2 = 100

a=10

side = 10

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on the first of january 2014, carol invested some money in a bank account. The account pays 2.5% interest per year. On the first

almond37 [142]

Answer: £23,360

Step-by-step explanation:

You can use algebra to solve this.

Assume that the original investment is x.

In the beginning of 2015 the balance had increased by 2.5% which is denoted as:

= 1.025x

Carol then withdrew a thousand:

= 1.025x - 1,000

This value then increased by 2.5% again by the beginning of 2016:

= 1.025 * (1.025x - 1,000)

Relevant expression therefore is:

1.025 *(1.025x - 1,000) = 23,517.60

1.025x - 1,000 = 23,517.60/1.025

1.025x = ‭22,944‬ + 1,000

x = 23,944/1.025

x = £23,360

8 0

3 years ago

Need help with this problem

Lostsunrise [7]

Answer:

Step-by-step explanation:

50+70=120

180-120=60

I'm pretty sure the answer is 60

5 0

2 years ago

To solve a system of inequalities so you can graph it how do you change these two equations into something like the two that are

Zigmanuir [339]

Explanation

Problem #2

We must find the solution to the following system of inequalities:

$\begin{gathered} 3x-2y\leq4, \\ x+3y\leq6. \end{gathered}$

(1) We solve for y the first inequality:

$-2y\leq4-3x.$

Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:

$\begin{gathered} 2y\ge-4+3x, \\ y\ge\frac{3}{2}x-2. \end{gathered}$

The solution to this inequality is the set of all the points (x, y) over the line:

$y=\frac{3}{2}x-2.$

This line has:

• slope m = 3/2,

• y-intercept b = -2.

(2) We solve for y the second inequality:

$\begin{gathered} x+3y\leq6, \\ 3y\leq6-x, \\ y\leq-\frac{1}{3}x+2. \end{gathered}$

The solution to this inequality is the set of all the points (x, y) below the line:

$y=-\frac{1}{3}x+2.$

This line has:

• slope m = -1/3,

• y-intercept b = 2.

(3) Plotting the lines of points (1) and (2), and painting the region:

• over the line from point (1),

• and below the line from point (2),

we get the following graph:

Answer

The points that satisfy both inequalities are given by the intersection of the blue and red regions:

8 0

10 months ago

The sum of three consecutive integers is 63. What is the lowest of the three integers?

sveta [45]

One number be x
x+(x+1)+(x+2)=63
x+x+1+x+2=63
3x+3=63
3x=63-3
3x=60
x=60:3
x=20
smallest number = x=20
middle number = x+1= 20+1=21
largest number = x+2 =20+2= 22

3 0

3 years ago

A gym charges a one time sign-up fee of $10.25 and then $5 each time you go. A student paid a total of $137.25. How many times d

horrorfan [7]

Answer:

25.4 or 25 times

Step-by-step explanation:

137.25-10.25=127

127/5=25.4

4 0

3 years ago