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Ivanshal [37]
3 years ago
7

using the pythagorean theorem find the area of an equilateral triangle whose side measures 7 units find the area to the nearest

tenth of a square unit
Mathematics
2 answers:
Molodets [167]3 years ago
7 0
 <span>If you have an equilateral triangle, the median is also the altitude so - That means that if you draw altitude, it will bisect the base of the triangle and meet at two right angles. That gives you two of the measurements for the right triangle - the side (6) hypotenuse, and the base (3). You can then figure out the height using the Pythagorean as you have the a and the c for the theorem. Then you can use 1/2 base times height to find the area. 
</span>
inysia [295]3 years ago
3 0
Here you go 3x-x+2=4
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Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an lg sm
GuDViN [60]
Answer: 0.951%

Explanation:

Note that in the problem, the scenario is either the adult is using or not using smartphones. So, we have a yes or no scenario involved with the random variable, which is the number of adults using smartphones. Thus, the number of adults using smartphones follows the binomial distribution.

Let x be the number of adults using smartphones and n be the number of randomly selected adults. In Binomial distribution, the probability that there are k adults using smartphones is given by

P(x = k) = \frac{n!}{k!(n-k)!}p^k (1-p)^{n-k}

Where p = probability that an adult is using smartphones = 54% (since 54% of adults are using smartphones). 

Since n = 12 and k = 3, the probability that fewer than 3 are using smartphones is given by

P(x \ \textless \  3) = P(x = 0) + P(x = 1) + P(x = 2)&#10;\\ \indent = \frac{12!}{0!(12-0)!}(0.54)^0 (1-0.54)^{12-0} + \frac{12!}{1!(12-1)!}(0.54)^1 (1-0.54)^{12-1} + \\ \indent \frac{12!}{2!(12-2)!}(0.54)^2 (1-0.54)^{12-2}&#10;\\&#10;\\ \indent = \frac{12!}{(1)(12!)}(0.46)^{12} + \frac{12(11!)}{(1)(11!)}(0.54)(0.46)^{11}+ \frac{12(11)(10!)}{(2)(10!)}(0.54)^2(0.46)^{10}&#10;\\&#10;\\ \indent = (1)(0.46)^{12} + (12)(0.54)(0.46)^{11}+ (66)(0.54)^2(0.46)^{10}&#10;\\ \indent \boxed{P(x \ \textless \  3) \approx 0.00951836732 }&#10;

Therefore, the probability that there are fewer than 3 adults are using smartphone is 0.00951 or 0.951%.


5 0
3 years ago
Consider the formula P = \dfrac{ H\cdot d}{m}P=
Lilit [14]

Answer:

The productivity is measured in cubic meters per kilogram.

Step-by-step explanation:

For the formula for the productivity P of the camel

P = \dfrac{ H\cdot d}{m}

where  H is the area of the hump and is measured in square meters, d is the distance the camel can travel (measure in meters), and m is the mass of the camel (measured in kilograms kg ).

Then, the productivity of the camel is measure in

P=\dfrac{meters^2\:*meters}{kilograms}

P=\dfrac{m^3}{kg}

cubic meters per kilogram.

7 0
3 years ago
Read 2 more answers
Mr. Goldstein is 4 times as old as his daughter Anna. In 4 years, he will be 3 times as old as Anna. How old is Anna now?
trasher [3.6K]

Lets Anna's age = A

Mr. Goldstein age = G

Mr. Goldstein is 4 times as old as his daughter Anna.

So G= 4A

In 4 years, he will be 3 times as old as Anna

we add 4 with Both their ages

G + 4  = three times of A + 4

G + 4= 3(A + 4)

We know G= 4A, replace it in above equation

4A + 4= 3(A + 4)

4A + 4= 3A + 12

Subtract 3A from both sides

A + 4 = 12

Subtract 4 from both sides

A = 8

So Anna's age = 8 years


6 0
3 years ago
An assembly line produces 20 items per hour. If the line runs 24 hours per day, 7 days week, how many items are made by this mac
Margaret [11]
20x24x30 = 14,400
14,400 items
7 0
3 years ago
A scientist measured the water pressure at different depths. She made a table showing her findings. The x-values represent the d
inessss [21]

Answer:

100,70 is the answer I took the test

5 0
3 years ago
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