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3 years ago

In ΔXYZ, ∠X=82° and ∠Y=84°. ∠XWZ=90° and XY=97. Find the length of XW to the nearest integer.

Mathematics

1 answer:

ivanzaharov [21]3 years ago

7 0

Check the picture below to the left, let's use those sides with the law of sines

$\textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{sin(14^o)}{97}=\cfrac{sin(84^o)}{XZ}\implies XZ = \cfrac{97\cdot sin(84^o)}{sin(14^o)}\implies XZ \approx 398.76 \\\\\\ \stackrel{\textit{now using SOH CAH TOA}}{cos(82^o) = \cfrac{XW}{XZ}}\implies XZcos(82^o)=XW \\\\\\ 398.76cos(82^o)\approx XW\implies 55.497\approx XW\implies \stackrel{\textit{rounded up}}{55=XW}$

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A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. C

Sladkaya [172]

Answer:

0.89.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;

(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."

(2). " distributed on the interval [0,60] and are independent."

(3). "The insurer covers 100% of each claim."

So, taking (1) above we will have;

(Total probability= 0.7 + 0.2 + 0.1 = 0.1)

A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.

0.8 + total probability = 0.8 + 0.1 = 0.9.

So, from the question, we are to "Calculate the probability that the total beneﬁt paid to the policyholder is 48 or less."

Hence, P< 48/A = P < 48/0.9 = P < 53.33.

Thus, 53.33/60 = 0.89.

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3 years ago

Geometry question multiple choice

Arada [10]

Answer:

C I think

Step-by-step explanation:

sin a= opp/ hypotanuese

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3 years ago

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timurjin [86]

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3 years ago

Does anyone know how to do this?

mr_godi [17]

Answer:

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Step-by-step explanation:

We know that according to the Pythagorean theory:

a²+b²=c²

I am pretty sure that a is 3 and b is 6. C remains unknown.

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Since the question says you should leave the answer in radical form, the answer is

c²=45

√c²=√45

This book will really help in Geometry and you can get it anywhere.

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3 years ago

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Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.

rodikova [14]

Point-Slope Form is y + 7 = - 4( x + 5)
Slope-Intercept Form is y = - 4x - 27

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3 years ago