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padilas [110]
3 years ago
5

Can segments with lengths of 15, 20, and 36 form a triangle?

Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0
Ok, so remember

the legnth of the longest side must be LESS THAN the sum of the measures of the other 2 sides
if no longest side (becasue it has 2 longest sides or 3 equal sides), then it can form a triangle




so the longest side is 36

36 must be less than the sum  of 15 and 20
36<15+20
36<35
false

therfor it cannot form a triangle
try it yourself, you cannot connect them that way

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Maria normally walks 3/4 of an hour each day.Today she walked 5/2 times as long as normal. Did maria walk for more than 5/2 hour
tankabanditka [31]

Answer:

Marie did not walk  \dfrac{5}{2} hours more, but she walk \dfrac{9}{8} hours more .

Step-by-step explanation:

Given as :

The normal hours did Maria walks each day = \dfrac{3}{4} hours

The hours did Maris walk today = \dfrac{5}{2} times normal hours walk

Or, The hours did Maris walk today = \dfrac{5}{2} ×  \dfrac{3}{4} hours

Or, The hours did Maris walk today = \dfrac{5\times 3}{2\times 4} hours

Or, The hours did Maris walk today =  \dfrac{15}{8} hours

Now, Let The difference between normal hours walk and today hours walk = x hours

So, x = \dfrac{15}{8} hours -  \dfrac{3}{4} hours

<u>Taking LCM</u>

Or, x = \dfrac{15 - 6}{8} hours

Or, x =  \dfrac{9}{8} hours

So, Maria walk \dfrac{9}{8} hours more

Hence, Marie did not walk  \dfrac{5}{2} hours more, but she walk \dfrac{9}{8} hours more . Answer

8 0
3 years ago
Can someone do this for me I was busy helping around for my mom and myself please it's due today!!!!!!
Fed [463]

Answer:

first discount for Q7 is $54.3915

the next discount is $48.95235

for Q8 is

Step-by-step explanation:

you are a very nice person for helping your mom. good luck for this!

ok let's work on question 7 first.

$63.99 is the cost of a skateboard.

  15% of 63.99 = 10% + 5%

  10% of 63.99 = 6.399          (move the decimal one place to the left)

   5% of 63.99 = 1/2 of 6.399

     1/2 x 6.399 = 3.1995

6.399 + 3.1995 = 9.5985

ok, so that's 15% of 63.99

now we need to take away 9.5985 from 63.99

63.99 - 9.5985 = 54.3915

the discount price of the skateboard is $54.3915

a further 10% is $5.43915

so take off that from the discount,

54.3915 - 5.43915 = 48.95235

the final price is $48.95235

QUESTION 8

         shop A = 6.95 x 40

     6.95 x 40 = $278

         shop B = 20% of 325

20/100 * 325 = 65

      325 - 65 = 260

therefore, shop B is cheaper.

hope this helped, good luck!

4 0
3 years ago
Mark, Bridget and Sushil share £14 in a ratio 2:3:2. How much money does each person get?
icang [17]

Answer:

Mark = 4, Bridget = 6, Sushil = 4

Step-by-step explanation:

You can add up all of the ratios, which is 7, and do 14/7 to find how much each ratio has in terms of money. So if someone had a ratio of 1, they would get a dollar, and since Mark and Sushil has 2, they get 4 dollars. (I'm American Sorry.)

5 0
3 years ago
Can someone help with this math pls, im confused and I don't know ​
baherus [9]

Answer:

So im also confused but I can provide you with some help :)

Step-by-step explanation:

the sum of a triangle is 180 degrees

Its in the first quadrant

Each letter reprents one point of the triangle which we can find by using cordinatnates on the chart

8 0
3 years ago
f a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8%, can we use the Normal a
Troyanec [42]

Answer:

Probability of at least 50 obese individuals in our sample is 0.92364 .

Step-by-step explanation:

We are given that a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8% .

Let X = Number of obese individuals

Firstly, X ~ Binom(n=300,p=0.198)

For approximating binomial distribution into normal distribution, firstly we have to calculate \mu and \sigma^{2} .

Mean of Normal distribution, \mu = n * p = 300 * 0.198 = 59.4

Variance of Normal distribution,\sigma^{2} = n * p * (1-p) = 300 *0.198 *0.802 = 47.64

So, now X ~ N(\mu = 59.4 , \sigma^{2} = 47.64)

The standard normal z score distribution is given by;

                     Z = \frac{X-\mu}{\sigma} ~ N(0,1)

So, probability of at least 50 obese individuals in our sample = P(X >= 50)

  P(X >= 50) = P(X > 49.5)  {using continuity correction}

  P(X > 49.5) = P( \frac{X-\mu}{\sigma} > \frac{49.5 - 59.4}{6.9} ) = P(Z > -1.43) = P(Z < 1.43) = 0.92364

Therefore, required probability is 0.92364 .

8 0
3 years ago
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