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Andrei [34K]
3 years ago
14

Which problem can be represented by the equation 49y−8=89?

Mathematics
1 answer:
sasho [114]3 years ago
4 0
The first one is the answer
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What is the exact value of tan 30° ? Enter your answer, as a simplified fraction, in the box.
Romashka [77]
Hmmm if you don't have a Unit Circle, this is a good time to get one, many you can find online.  Anyhow, check your unit circle for cos(30°) and sin(30°).

\bf tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}\qquad \qquad tan(30^o)=\cfrac{sin(30^o)}{cos(30^o)}
\\\\\\
tan(30^o)=\cfrac{\quad \frac{1}{2}\quad }{\frac{\sqrt{3}}{2}}\implies tan(30^o)=\cfrac{1}{2}\cdot \cfrac{2}{\sqrt{3}}\implies tan(30^o)=\cfrac{1}{\sqrt{3}}
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\stackrel{\textit{and now if we rationalize the denominator}}{\cfrac{1}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{\sqrt{3}}{(\sqrt{3})^2}\implies \cfrac{\sqrt{3}}{3}}
8 0
3 years ago
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Evaluate the expression: v ? w Given the vectors: r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2> . If the answ
Snezhnost [94]

Answer:

-13

Step-by-step explanation:

Given are two vectors v and w.

v=(6,7,-3) and

w=(-7,5,2)

We are to find the dot product of v.w

We have

Dot product is obtained by multiplying corresponding pairs and adding them

Here we have

v.w=6(-7)+7(5)-3(2)

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3 years ago
Rename 1/2 into its proper fraction
AveGali [126]
It is into its proper fraction and cannot be simplified down any further. Therefore the proper fraction is 1/2
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3 years ago
GEOMETRY HELP PLZ
tangare [24]

Answer:

0.324

0.068

Step-by-step explanation:

If Russell is 5'9" ; then he is under 6 feets :

Probability = number of forwards under 6 feets / tot number of players

Probability = 120 / 370 = 0.324

Peter is 6'2" ; Peter is over 6 feets ;

Probability that Peter is a guard = (number of guards over 6 feets / total number of players) = 25 / 370 = 0.0676 = 0.068

8 0
3 years ago
What type of triangle is this triangle?
Alex Ar [27]

Answer:

Scalene

Step-by-step explanation:

Because all of the sides are different lengths

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3 years ago
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