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3 years ago

14

Which angle(s) is/are congruent? There may be more than one answer

1 answer:

Anuta_ua [19.1K]3 years ago

5 0

Answer:

if they all have the same angle they r congruent

Step-by-step explanation:

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Tyler took out a loan at a 14.7% APR, compounded monthly, to buy a boat,

Zanzabum

Answer:

14.4%, compounded monthly

Step-by-step explanation:

APEX

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3 years ago

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a population of insects increases at a rate of 1.5% per day about how long will it take to double A)2.5 days b) 5.0 days c) 46.6

ANTONII [103]

We can use population formula

$P(t)=P_0(1+r)^{t}$

we are given

interest rate is 1.5% per day

so,

$r=0.015$

now, we can plug values

$P(t)=P_0(1+0.015)^{t}$

$P(t)=P_0(1.015)^{t}$

we are given

P(t)=2Po

we can plug it

$2P_0=P_0(1.015)^{t}$

we can solve for t

$2=(1.015)^{t}$

$t=46.55$

so,

number of days is 46.5..........Answer

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3 years ago

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If the sum of two numbers is 90 but their difference is 12 what are the two numbers

emmainna [20.7K]

51 and 39. Have a great day!

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3 years ago

Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?

mixer [17]

Given:

$|u|=10$ at an angle of 45°.

$|v|=13$ at an angle of 150°.

$w=u+v$

To find:

Magnitude and direction angle of w.

Solution:

We have,

$w=u+v$

$\theta = 45^\circ, \phi = 150^\circ$

Now,

$u_x=|u|\cos \theta=10\cos 45^\circ=7.071$

$u_y=|u|\sin \theta=u_y=10\sin 45^\circ=7.071$

$v_x=|v|\cos \phi=13\cos 150^\circ=-11.25833$

$v_y=|v|\sin \phi=u_y=13\sin 150^\circ=6.5$

Using these information, we get

$R_x=u_x+v_x=7.071-11.25833=-4.18733$

$R_y=u_y+v_y=7.071+6.5=13.571$

$\text{Direction angle}=\tan^{-1}(\dfrac{R_y}{R_x})$

$\text{Direction angle}=\tan^{-1}(\dfrac{13.571}{-4.18733})$

$\text{Direction angle}=-72.8239$

$\text{Direction angle}=107.1476$

$\text{Direction angle}\approx 107.1$

Now,

$|w|=\sqrt{(|u|\cos \theta +|v|\cos \phi)^2+(|u|\sin \theta +|v|\sin \phi)^2}$

$|w|=\sqrt{(10\cos(45)+13\cos 150)^2+(10\sin(45)+13\sin 150)^2}$

$|w|=\sqrt{(10(\dfrac{1}{\sqrt{2}})+13(-\dfrac{\sqrt{3}}{2}))^2+(10(\dfrac{1}{\sqrt{2}})+13(\dfrac{1}{2}))^2}$

$|w|=14.20236$

$|w|\approx 14.20236$

Therefore, the correct option is D.

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3 years ago

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What equals 48 in times tables

Norma-Jean [14]

The answer is 8 times 6
Your welcome

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3 years ago

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