Determine whether each pair of triangles is similar. justify your answer

Answers

Answer 1

Answer: Yes the two pairs of triangles are similar. They both have the same measurements. The only difference is that one triangle is flipped upside down

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5/6 - 2/6 in simplest form

Answers

$(5)/(6)-(2)/(6)=(3)/(6)=(1)/(2)$

$(5)/(6)- (2)/(6)= ((5-2))/(6)= (3)/(6)= (1)/(2)$

I want to know this problemas please

Answers

3. U take .75 from 1.10= $0.35

4. 5 quaters: 5*25=125
125 cents= $1.25

One month, Jon worked 3 hours less than Chaya, and Amgelica worked 4 hours more than Chaya. Together they worked 196 hours. Find the number of hours each person worked.

Answers

Okay lets look at the problem first
so Chaya is our X Value
and we know that the total is 196
lets divide the total by 3
so we have 65.1
lets forget the point one for now
know if each person worked 65 hours this would be over
but we know that Jon Worked 3Hours less then Chaya that would put him at 62
Know we need to put that 3 hours to the side and remember we havnt used it yet
And we know that Amgelica worked 4 more hours then Chaya andwe still have 4 hours left over so that puts her at 69 hours
so Jon (a) worked 62 hours
Amgelica (b)worked 69 hours
and Chaya (c)at 65
a+b+c=196
62+69+65=196
I hope this helped

Aidan mixes 630 mL of blue paint with 2 L of red paint to make purple paint how many milliliters of purple paint does Aiden have

Answers

2L = 2,000ml

2,000 + 630 = 2,630ml of purple paint.

With a few calculations, Kenan estimated that the tank has a capacity of about 86,400 in.cubed. What is its capacity in cubic feet? Use three unit

multipliers.

Answers

(86,400 cubic inches) x (1 cubic foot / 1,728 cubic inches) = 50 cubic feet

50 POINTS! Vectors u, v, and w are shown in the graph. What are the magnitude and direction of u + v + w? Round the magnitude to the thousandths place and the direction to the nearest degree.

Answers

Answer:

C) 48.786, 152°

Step-by-step explanation:

To add the vectors u, v and w, we first need to rewrite each vector in component form (where vectors are represented using the unit vectors i and j along the x and y axes).

The (x, y) components of a vector, given its magnitude (r) and direction (θ), are (r cos θ, r sin θ), where θ is measured in the anticlockwise direction from the positive x-axis.

Every vector in two dimensions is made up of horizontal and vertical components, so any vector can be expressed as a sum of i and j unit vectors. Therefore, the i + y form of a vector is:

(r cos θ) i + (r sin θ) j

So, the component form of the given vectors are:

$\mathbf{u}=80 \cos 230^(\circ)\textbf{i}+80 \sin 230^\circ}\textbf{j}$

$\mathbf{v}=60 \cos 120^(\circ)\textbf{i}+60 \sin 120^\circ}\textbf{j}$

$\mathbf{w}=50 \cos 40^(\circ)\textbf{i}+50 \sin 40^\circ}\textbf{j}$

Sum the vectors:

$\mathbf{R}=\mathbf{u}+\mathbf{v}+\mathbf{w}\n\n\mathbf{R}=(80 \cos 230^(\circ)+60 \cos 120^(\circ)+50 \cos 40^(\circ))\textbf{i}+(80 \sin 230^\circ}+60 \sin 120^\circ}+50 \sin 40^\circ})\:\textbf{j}\n\n\mathbf{R}=-43.1207866\:\textbf{i}+22.8173493\:\textbf{j}$

$\textsf{For a vector\;\;$\mathbf{a} = x\mathbf{i} + y\mathbf{j}$, its magnitude is\;\;$||\mathbf{a}|| = √(x^2+y^2)$.}$

Calculate the magnitude of the resultant vector ||R||:

$\mathbf{||R||}=√((-43.1207866)^2+(22.8173493)^2)\n\n\mathbf{||R||}=48.7855887...\n\n\mathbf{||R||}=48.786$

The direction θ can be found by finding the angle with the horizontal, which is given by:

$\boxed{\theta=\tan^(-1)\left((y)/(x)\right)}$

As the resultant vector is in quadrant II (since the i component is negative and the j component is positive), we need to add 180° to the value of tan⁻¹(y/x). Therefore:

$\theta=\tan^(-1)\left((22.8173493)/(-43.1207866)\right)+180^(\circ)$