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An investment of £150 increases by 2.5% each year, for 3 years. Calculate the value of the investment at the end of the period

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Explanation:

Consider triangle ABC. The vertex points are at A,B,C. These represent the three cities in which the three different daughters live. Constructing the circumcenter will produce a circle such that all three points A,B,C are on that circle. Let's say that D is the center of that circle.

This means that AD, BD, CD are all radii of this same circle. Radii of the same circle are the same length, which is why point D is equally distant from A,B,C. If the mother lives at point D, then she will travel the same distance to visit any three of her daughters. See the note below.

To construct the circumcenter, we form perpendicular bisectors to segments AB, BC and AC. Technically you only need two of them. All three of these perpendicular bisectors intersect at point D.

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Note: Keep in mind that roads aren't completely straight, so that means we'll have to factor in the curvature of each road. But to keep things simple, we assume each road is a straight line segment.

To find k, divide both sides by 8:

k = 40/8

k = 5

Answer:

k=5

Step-by-step explanation:

8k=40

k=40÷8

k=5

therefore k is equal to 5

Answer:

Step-by-step explanation:

8/18=x/24

18x=192

x=10.667(correct to three decimal places)

Answer:

-4x(3x+4)

Step-by-step explanation:

You have to undo the problem, I will show you how this problem looks if you solve it (the answer i guess? id.k it is hard to explain any other way)

So first we use distributive property-

-4x *3x=-12x^2

-4x*4=-16x

-12x^2-16x  And now we have the problem we started with!

Answer:

its -4x(3x+4)

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

if it is right pls mark brainliest thanks :)

Answer:

x = √3

Step-by-step explanation:

Looking at the given triangle,

x is the adjacent side while 2 represents the hypotenuse side.

Now, from trigonometric ratios, we know that;

Adjacent/hypotenuse = cos θ

The angle here will be 30°

Thus;

x/2 = cos 30°

We are told to find x in simplest radical form with a rational denominator.

Thus means we will use the surf value of the angle.

cos 30° in surd form = (√3)/2

Thus;

x/2 = (√3)/2

x = 2 × (√3)/2

x = (√3)/1

x = √3

Answer and explanation:

A rational number is a number that can expressed as fraction where the demoninator of the fraction is not zero, example 2/3, 5/1, 4/6 etc

An integer is a whole number, negative or positive example - 2, 3, -4, 1 etc

Adding and subtracting integers and rational numbers are not very much different. Most numbers are rational numbers anyway. When adding rational numbers 1/2+3/1 for instance, we simply add them like normal fractions:

1/2+3/1= 1+6/2=7/2=2 1/2

When adding intergers 2+4, we add normally as in the number line = 6

Answer:

6

Step-by-step explanation:

take 14.75 and minus the flat rate of 4.25 and then divide the 1.75 per mile and you get that you rode 6 miles

Answer:

An linear equation in one variable

Step-by-step explanation:

Variable:h

Equation:6h+19

Answer:

Assuming that the figure is a rectangle:

x=12

angle GJH=22 degrees

Step-by-step explanation:

angle GHJ=angle IJH

5x+8=7x-16

simplify

2x=24

x=12

angle IJH=7x-16

substituting for x

IJH=7(12)-16=84-16=68 degrees

angle GJH=90-IJH

angle GJH=22 degrees

Answer:

BOTH ARE CORRECT

Step-by-step explanation:

Given that:

Triangle ABC Is right angled ;Angle ABC

Hypotenus = 15

If legs are 9 and 12 units long ;

From Pythagoras :

9² + 12² = hypotenus²

81 + 144 = 225²

2.) if:

B = 20° ; BC = will be

Using :

Cos θ = BC / 15

Cos 20 = BC / 15

BC = Cos 20 * 15

BC = 0.939692 * 15

BC = 14.09

BC = 14.1

Answer:

1.   y = -10x - 5

2.  [tex]y = \frac{9}{5}x - 4[/tex]

3.  [tex]y = -\frac{5}{4}x + 5[/tex]

4. y = 7x + 5

Step-by-step explanation:

use y = mx + b

m = slope

b = y-intercept

1. Slope= -10, y- intercept = -5

   y = -10x - 5

2. Slope= - 9/5, y- intercept = -4

   [tex]y = \frac{9}{5}x - 4[/tex]

3. Slope= -5/4, y- intercept = 5

    [tex]y = -\frac{5}{4}x + 5[/tex]

4. Slope= 7, y- intercept = 5

    y = 7x + 5

Answer:

Red

Step-by-step explanation:

it is 10

Answer:

The answer is "Ratio".

Step-by-step explanation:

A ratio indicates how often a number contains a different number. Whenever the calculation of two quantities, as often happens, is indeed a measurement ratio without dimension. It is called a quotient of two volumes, which is calculated by using various units.

It is the relationship among two or more elements of financial reports is calculated by ratios. These also are efficient when the outcomes are presented several times. It allows you to monitor the performance of your company over time and to detect signs of injury.

Answer:

10p-40 = 10(p-4) this is the answer of this question

Answer:

7

Step-by-step explanation:

Answer:

A = 7

Step-by-step explanation:

You would take -42/-6 because that will tell you what x -6=-42

-42/-6 = 7

Also. you have to remember that a negative divided or multiplied by a negative = a positive

Answer:

around 126

Step-by-step explanation:

Answer:

The diagonal is irrational because it is a product of a rational and an irrational number

Step-by-step explanation:

The options are not given. However, the question is still answerable.

Given

Shape: Square

Length: Rational

Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.

Having said that:

The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.

[tex]d^2 = l^2 + l^2[/tex]

[tex]d^2 = 2l^2[/tex]

Take positive square root of both sides

[tex]d = \sqrt{2l^2}[/tex]

Split:

[tex]d = \sqrt{2} * \sqrt{l^2}[/tex]

[tex]d = \sqrt{2} *l[/tex]

Recall that the side length (l) is rational.

However, [tex]\sqrt 2[/tex] is irrational.

So, the product of l and [tex]\sqrt 2[/tex] will be irrational

Hence:

The diagonal is irrational

Answer:

z = 17.5

Step-by-step explanation:

To get the value of z, we use the bisector theorem

7/z = 6/15

6z = 7 * 15

6z = 105

z = 105/6

z = 17.5

Answer:

the area is 110. the formula for a trapezoid is A= a+b/2 × h.

A= a+b/2 ×h= A= 9+13/2×10=110

Use this and explain yourself

Answer:

the answer would be 55.39

Answer:

23.3 is the answer to this question

Answer:

c must be -4

Step-by-step explanation:

x^2 - 5x + c = 0 is a quadratic whose coefficients are a = 1, b = -5 and c = c.

The discriminant is b^2 - 4ac, and we know that b^2 - 4ac = 41.

Substituting -5 for b and 1 for a, we get:

(-b)^2 - 4(1)(c) = 41, or 25 - 4c = 41, or -4c = 16.  Thus, c must be -4, and the quadratic is

x^2 - 5x - 4

Answer:

[tex]d=\frac{2}{5}[/tex]

Step-by-step explanation:

-10 (d+1) = -14

-10d -10 = -14

-10d = -14 + 10

-10d = -4

d = 4/10

d= 2/5

Answer: See explanation

Step-by-step explanation:

Let the width of the rectangle be x.

The length of a rectangle is 3 times as big as the width. Length = 3x

New width = x + 4

New length = 3x + 4

The new area will be:

a = (3x + 4)(x + 4)

a = 3x² + 12x + 4x + 16

a = 3x² + 16x + 16

Answer:

[tex]z=133/6[/tex]

Step-by-step explanation:

All angles in a triangle added up are equal to 180 degrees.

We can make the equation:

[tex]2z+4z+47=180\\6z+47=180\\6z=133\\z=133/6[/tex]

Answer:

Step-by-step explanation:

We have 3 angles, 2z, 4z, 42

the sum of these angles equal to 180

2z+4z+42=180

6z=180-42

6z=138

z=138/6=23

z=23

Answer:

Step-by-step explanation:

c=12.75n+12

c=15.75n

=4

Answer:

106 degrees

Step-by-step explanation:

180 -74 = 106

The second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.

Two angles are said to be supplementary angles when they add up to 180 degrees.

Two angles are supplementary, if

a). one of its angle is an acute angle and another angle is an obtuse angle.

b). both of the angles are right angles.

This means that if A and B are the two angles then

[tex]m[/tex]∠A+[tex]m[/tex]∠B = 180 degrees

According to the given question we have

angles A and C are supplementary

and, [tex]m[/tex]∠A = 74 degrees

therefore,

the measure of angle C is calculated as

[tex]m[/tex]∠A + [tex]m[/tex]∠C = 180 degrees        (sum of the supplementary angles)

74 + [tex]m[/tex]∠C = 180 degrees            ( [tex]m[/tex]∠A = 74 )

[tex]m[/tex]∠C = (180 - 74)degrees            ( subtracting 74 degrees both the sides)

[tex]m[/tex]∠C = 106 degrees

Hence,  second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.

Learn more about the supplementary angles here:

https://brainly.in/question/1288078

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