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tino4ka555 [31]
2 years ago
11

The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown. Wh

at is the smallest possible perimeter of the triangle, rounded to the nearest hundredth?
Mathematics
2 answers:
shusha [124]2 years ago
7 0

Answer:

72.4 in.

Step-by-step explanation:

Butoxors [25]2 years ago
6 0
If the triangle were right-angled then the other 2 sides would be of length 30 / sqrt2 = 21.213 inches.

But it is acute angled so they will be a bit longer than this
 they could be say 21.215 inches

So the required perimeter =   30 + 2*21.215 =  72.43  inches to nearest hundredth
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QveST [7]

Answer:

Do you have answer choices

Step-by-step explanation:

8 0
2 years ago
The rule below shows how Mrs. Rousseau's long-distance phone company computes her monthly bill. Which answer expresses that rule
Ludmilka [50]
So then n=number of long distance calls, then add the flat rate

long distance cost=number of calls times cost per clll or n times 0.42 or 0.42n
the flat rate is 24

so total is c so
c=24+0.42n
4 0
2 years ago
A vehicle with a particular defect in its emission control system is taken to a succession of randomly selected mechanics until
IrinaK [193]

Answer:

the mle of P=0.833

Step-by-step explanation:

X=incorrect answer

And probability of success to be denoted as P

Here X posses a binomial distribution along with 'r' and 'p'parameter

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION

3 0
2 years ago
A recent study found that 51 children who watched a commercial for Walker Crisps (potato chips) featuring a long-standing sports
hichkok12 [17]

Answer:

1

The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

2

The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population

3

t  =  3.054

4

The p-value  is   p-value  =  P(Z >  3.054) = 0.0011291

5

The conclusion is  

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The test statistics is  

Step-by-step explanation:

From the question we are told that

   The first sample size is  n_1  =  51

    The first sample  mean is \mu_1  =  36

    The second sample size is  n_2  =  41

    The second sample  size is  \mu_2  =  25

     The first standard deviation is  \sigma _1  =  21.4 \  g

    The second standard deviation is  \sigma _2  =  12.8 \  g

  The  level of significance is  \alpha =  0.05

The  null hypothesis is  H_o  :  \mu_1 = \mu_ 2

The  alternative hypothesis is  H_a :  \mu_1 > \mu_2

Generally the test statistics is mathematically represented as

    t  =  \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1}  + \frac{s_2^2}{n_2}  } }

=>   t  =  \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51}  + \frac{ 12.8^2}{41}  } }

=> t  =  3.054

The  p-value is mathematically represented as

     p-value  =  P(Z >  3.054)

Generally from the z table  

             P(Z >  3.054) =  0.0011291

=>   p-value  =  P(Z >  3.054) = 0.0011291

From the values obtained  we see that p-value  < \alpha so  the null hypothesis is rejected

Thus the conclusion is  

  There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

5 0
2 years ago
Triangles A B C and T P Q are shown. Sides A C and T Q are congruent. Angles B C A and P Q T are congruent. Which statements are
Pani-rosa [81]

Answer:

If Angle A ≅ Angle T, then the triangles would be congruent by ASA

If Angle B ≅ Angle P, then the triangles would be congruent by AAS.

Step-by-step explanation:

It's already given that side AC and side TQ are congruent, and angle BCA and angle PQT are congruent too. So if angle A and angle T were congruent, this would be the ASA Theorem. And if angle B were to be congruent to angle P, this would be the AAS Theorem.

Since you only need to pick 2 answer choices, you can stop there.

8 0
2 years ago
Read 2 more answers
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