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3 years ago

I need help with this Maths Homework Question.

Mathematics

1 answer:

Monica [59]3 years ago

3 0

Answer:

1. 41/45.

2. x/(x^2+3x+6)

Step-by-step explanation:

So first we fill the ven diagram.

There are 240 in band, so we fill that. 60 students are in both, we put that in the middle, and there are 110 people in choir.

now, since we want the probability that a student is chosen that is in band, and choir, and both. We add all this up

240 + 60 + 110 = 410.

The total possible outcome is 410, and the total outcome is 450, so the answer is

410/450 = 41/45

First, to get the total outcomes, we have to add all the expressions together.

x(x-2) + x + 2x+8 = x^2 - 2 + x + 2x + 8 = x^2 - 2 + 3x + 8 = x^2 + 3x + 6.

Since that is the total outcome, we have to find the possible outcomes.

The problem wants BOTH from the 20th century and British, so it is x.

x/(x^2+3x+6). We cannot simplify any further, thus x/(x^2+3x+6) is our answer

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Answer:

Step-by-step explanation:

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A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The

Kobotan [32]

Answer:

One-fifth

Step-by-step explanation:

step 1

Find the distance between the origin and the point B

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

O (0,0) and B(10, –15)

substitute

$d=\sqrt{(-15-0)^{2}+(10-0)^{2}}$

$d=\sqrt{325}\ units$

step 2

Find the distance between the origin and the point B'

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

O (0,0) and B'(2,-3)

substitute

$d=\sqrt{(-3-0)^{2}+(2-0)^{2}}$

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step 3

Find the scale factor of the dilation

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3 years ago

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Is triangle PTC congruent to triangle LAF?

SpyIntel [72]

Answer:

Yes; LA (D)

Step-by-step explanation:

one of the legs are congruent. LA and PT are congruent. This makes up the "L" part of "LA"

Also, angle PCT and angle LFA are congruent base on the diagram. This makes up the "A" part of "LA"

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algol13

A) The Girth is calculated as; 45.625 inches

B) The calculated girth is greater than the maximum of 45 inches and as such we will conclude that we will not be able to store the suitcase in the overhead compartment.

<h3>How to use basic math's operations?</h3>

We want to find the girth of a suitcase.

Now, we are told that the formula to calculate the girth of a suitcase is;

Girth = Length + Width + Depth

A) We are given;

Length of Suitcase = 24.5 inches

Width of suitcase = 14.25 inches

Depth of Suitcase = 6.875 inches

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