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Bess [88]
3 years ago
15

Find a third angle of a right triangle if one of the angles measures 24°.

Mathematics
1 answer:
WITCHER [35]3 years ago
3 0
Well from what we know about triangle is that they all add up to 180 degrees!

A right triangle would have a 90 degree angle and from the given measurements we know that the other on is 24 degrees.

So we simply subtract!! 

180 - 90 = 90 degrees

90 - 24 = 66 degrees

So the measure of the third angle is 66 degrees. :)

Hope this helps. c:
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Abdul uses 15 1/2 cups of flour to make 3 loaves of bread. At that rate, how many cups of flour would Abdul need to make 4 loave
Pavlova-9 [17]
Yea don’t click on the links the get information from u
3 0
2 years ago
Solve the triangle m<N= 118°, m<P= 33° and m=15. Round to the nearest tenth. Please show work.​
kirill [66]

Answer:

M = 29

27.31838095 = n

16.8511209 = p

Step-by-step explanation:

M = 180 -33-118 = 29

We can use the rule of sines

sin A          sin B           sin C

------------ = ---------- = ------------

a                  b               c

sin 118          sin 29        

------------ = ----------

n                  15              

Using cross products

15 sin 118 = n sin 29

Divide by sin 29

15 sin 118 / sin 29 = n

27.31838095 = n

sin 33          sin 29        

------------ = ----------

p                  15              

Using cross products

15 sin 33 = p sin 29

Divide by sin 29

15 sin 33 / sin 29 = p

16.8511209 = p

3 0
3 years ago
The times to process orders at the service counter of a pharmacy are exponentially distributed with mean 1 0 minutes. If 100 cus
g100num [7]

Answer:

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

Step-by-step explanation:

The formula for the probability of an exponential distribution is:

P(x < b) = 1 - e^(b/3)

Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:

p = P(x > 10)

  = 1 - P(x < 10)

  = 1 - (1 - e^(-10/10) )

  = e⁻¹

  = 0.3679

The z-score is the difference in sample size and the population mean, divided by the standard deviation:

z = (p' - p) / √[p(1 - p) / n]

  = (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]

  = 2.7393

Therefore, using the probability table, you find that the corresponding probability is:

P(p' ≥ 0.5) = P(z > 2.7393)

<em>P(p' ≥ 0.5) = 0.0031</em>

<em></em>

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

8 0
3 years ago
A polyhedron has 8 vertices and 14 edges. How many faces must it have?
Scorpion4ik [409]
We know that

The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

V - E + F = 2
clear F
F=2-V+E

in this problem
V=8
E=14
F=?
so
F=2-8+14
F=8

the answer is
8 faces
7 0
3 years ago
Please help I don't understand.
Kay [80]
I don’t really know sorry
6 0
3 years ago
Read 2 more answers
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