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mel-nik [20]
3 years ago
10

a triangle has the following measurements : a=19 b=25 c=31 use the law of cosines to find the missing measurements

Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0
Sides:
a = 19 m
b = 25 m
c = 31 m

Angles:
A = 37.7843 °
B = 53.7236 °
C = 88.492 °

Other:
P = 75 m
s = 37.5 m
K = 237.418 m2
r = 6.33114 m
R = 15.5054 m

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Answer:

x =0

Step-by-step explanation:

Solve for x over the real numbers:

sqrt(x) = 0

Square both sides:

Answer: x = 0

7 0
3 years ago
Read 2 more answers
Can someone please help me with number 2?I don't know what I did wrong.​
Dmitry [639]

Part A

Let's say point P is the starting point and point Q is the endpoint

x = one-way distance from P to Q, and vice versa

The goal is to find x, then compute 2x to find the round trip distance traveled.

We'll use this idea

distance = rate*time

which solves to

time = distance/rate

So when going from P to Q, the driver is going 70 mph and travels x miles

So the driver does this for distance/time = x/70 hours.

When going back, the driver slows down to 55 mph so the time taken here is x/55 hours.

The total time values add to x/70 + x/55 hours

Set this equal to the total driving time of 7 hours and solve for x

x/70 + x/55 = 7

70*55*(x/70 + x/55) = 70*55*7

70*55*(x/70) + 70*55*(x/55) = 26,950

55x + 70x = 26,950

125x = 26,950

x = (26,950)/125

x = 215.6 which is the one-way distance in miles

which then means,

2x = 2*215.6 = 431.2

Therefore, the total distance traveled is 431.2 miles

<h3>Answer: 431.2 miles</h3>

=========================================================

Part B

To find the duration of each trip, we simply need to evaluate x/70 and x/55. Those are the durations when going 70 mph and 55 mph respectively. These durations are measured in hours.

x/70 = (215.6)/70 = 3.08

x/55 = (215.6)/55 = 3.92

Note how 3.08+3.92 = 7 to help verify the answers.

<h3>Answers:</h3>
  • When going 70 mph, it takes about 3.08 hours
  • When going 55 mph, it takes about 3.92 hours
6 0
3 years ago
PLEASE HELP WITH MATH PROBLEM 35 POINTS
AnnZ [28]
You are given Kayla's walking distance along the edge of the river 100 ft and marks point C, then she walks 100 ft further and marks point D and she turns 90° and walks until her location, point A, and point C are collinear. She marks point E at this location. ABC and EDC are congruent.

3 0
3 years ago
Please help ASAP!
Kruka [31]

First, recall that

\sin(-\theta)=-\sin\theta

So if \sin(-\theta)=\dfrac15, then \sin\theta=-\dfrac15.

Second,

\tan\theta=\dfrac{\sin\theta}{\cos\theta}

We know that \tan\theta>0 and \sin\theta, which means we should also have \cos\theta.

Third,

\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\pm\sqrt{1-\sin^2\theta}

but as we've already shown, we need to have \cos\theta, so we pick the negative root.

Finally,

\tan\theta=\dfrac{\sin\theta}{\cos\theta}\iff\dfrac6{\sqrt{12}}=\dfrac{-\frac15}{\cos\theta}\implies\cos\theta=-\dfrac1{5\sqrt3}

Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.

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3 years ago
21. Melanie is making homemade stickers, She uses
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1: 5 2: 9 or 10

For question 1 we can round 115 to 100, 5x100 is 500 which is closer to 545 than 7x100 = 700.
7 0
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