Tickets to the aquarium cost $27 per person. Write an expression to represent the total cost of a group of people.

One leg of a 45 - 45 - 90 triangle measures 10 inches. What is the length of the hypotenuse

djyliett [7]

Answer:

Therefore the length of the hypotenuse is 14.14 inches.

Step-by-step explanation:

Given:

The Triangle is of 45 -45 - 90

Length of one leg = 10 inches

To Find:

Length of the hypotenuse = ?

Solution:

The Triangle is of 45 -45 - 90 ..................Given

So For 45 - 45 - 90 Both the Legs of Triangle is SAME

i.e Longer leg = Shorter leg = 10 inches

Now in Right angle Triangle By Pythagoras Theorem we have

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

On substituting the values we get

$Hypotenuse^{2}= 10^{2}+ 10^{2} \\\\Hypotenuse^{2}=200\\Square\ Rooting\ we\ get\\Hypotenuse=\sqrt{200}=10\sqrt{2}=10\times 1.414=14.14\ inches$

Therefore the length of the hypotenuse is 14.14 inches.

5 0

3 years ago

Translate the following written expression into a mathematical expression. Then, find the expression's value when a = 186 and b

antoniya [11.8K]

Answer: The correct answer is option A: 6

Step-by-step explanation: We shall start by splitting the word problem into bits to ease our calculations.

We start with “the quotient of a and 6...” and that can be expressed as

a/6 where a equals 186, this becomes

186/6 and this equals 31.

Note that quotient means the result derived from dividing two numbers/values.

Next, “The difference of ... and b squared”

The missing part of this statement has been calculated as 31, so this can now be written as “The difference of 31 and b squared” where b equals 5 and b squared now equals 25. Hence what we have is the difference of 31 and 25

That is, 31 - 25 and that equals 6.

Therefore, the expression can now be written out as;

(a/6) - b^2

When a equals 186 and b equals 5, the answer is 6

8 0

3 years ago

Adjust the estimated digit in the quotient 29÷2276=

AleksandrR [38]

You just divide basicly right?

So like

29/2276=0.01274725

If you have to Estimate you divide whats outside the división box which is 29

Then you divide 29 with the answer which is 0.01274725

Then you answer to that would be 2275.00049 which shows that it is close enough to 2276.

If I'm wrong I'm Sorry but Yeah

8 0

3 years ago

Simplify (5 ^4)^-3. Assume 0 /=

N76 [4]

Answer:

(5^4)^-3 = 4.096e-9

Step-by-step explanation:

5 0

3 years ago

A sinusoid with amplitude 7 has a maximum value of 23. <br><br> What is its minimum value?

saveliy_v [14]

Answer:

go on weegy your answer should pop up on there

Step-by-step explanation:

4 0

4 years ago