Triangle ABC is a right triangle. The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest tenth if necessary)
When the two legs are given, the hypotenuse is found by using the Pythagorean Theorem, which states that:
[tex]\displaystyle a^{2} +b^{2} =c^{2}[/tex]
In the theorem, a and b are the two legs, and c is the hypotenuse. Since you are given the length of the two legs, substitute it into the equation.
[tex]a=3\\b=6[/tex]
[tex]3^{2} +6^{2}=c^{2}[/tex]
Now, you need to square both 3 and 6. When you square a number, you're basically multiplying the number by itself.
[tex]3^{2} =3 \times 3=9\\6^{2}=6 \times 6=36[/tex]
Substitute the numbers into the equation.
[tex]9+36=c^{2}[/tex]
Add:
[tex]45=c^{2}[/tex]
You're looking for the value of c, not c squared. To remove the square, you need to square root it.
[tex]\displaystyle \sqrt{45}=\sqrt{c^{2} }[/tex]
Using a calculator, find the square root of 45.
[tex]\displaystyle \sqrt{45}=\sqrt{c^{2} }\\c \approx 6.7[/tex]
The answer to your question is B) 6.7 inches.
Answer: A
Step-by-step explanation:
Use Pythagorean Theorem in order to solve this:
[tex]a^{2} + b^{2} = c^{2}[/tex]
(c is the hypotenuse)
So that would be:
[tex]3^{2} + 6^{2} = c^{2}[/tex]
If you solve this, you would find that:
[tex]c^{2} = 45[/tex]
[tex]c = 3\sqrt{5}[/tex]
Answer = B
12 men can dig a pond in 8 days. How many men can dig it in 6 days?
Answer:
It would be 16 men.
Step-by-step explanation:
Let the number of men dig a pond in 6 day be x. Then,
It is a case of inverse variation.
12 × 8 = 6x
=> 96 = 6x
=> x = 96/6
=> x = 16
Hence, 16 men can dig a pond in 6 days.
Answer:
Answer is 16…..
12 men take 8 days for digging a pond, so we use simple method to solve this problem.
We multiple the both things that is 12 and 8 then get 96 is the result which is equal to multiple of 6 days and ?Men then get 16 men
Step-by-step explanation:
I literally put it on the comments lol
Coca Cola is offering prizes under the caps of their sodas. Coca Cola claims that “one in six game pieces wins a prize.” The official rules of the contest states that the odds of winning a prize are 1:6. Is the claim “one in six game pieces wins a prize” correct? Why or why not?
Answer:
correct because one in six game pieces win a prize.
Step-by-step explanation:
Consider the conditional statement:
"If the store has the Playstation 5 in stock, then I will buy one."
What is the conclusion of the statement?
Answer:
he's getting the ps5
Step-by-step explanation:
In conclusion if the store has the ps5 he's getting it and if not he wont
factorise the following
a) 32a^2-98b^2
b)m ^2 -64n^2
Answer:
a) 2(4a + 7b)(4a - 7b)
b) (m - 8n)(m + 8n)
Step-by-step explanation:
[tex]a)32a^{2} - 98b^{2}\\=(2 * 16)a^{2} - (2*49)b^{2}\\=2(16a^{2} -49b^{2})\\=2 ([4a]^{2}-[7b]^{2})\\=2(4a+7b)(4a-7b)[/tex]
[tex]b) m^{2} - 64n^{2}\\= (m)^{2} - (8n)^{2} \\= (m-8n)(m+8n)[/tex]
happy to help:)
18. The length of the minor arc AB of a circle,
centre 0, is 27 cm and the length of the major
arc is 221 cm. Find (a) the radius of the circle,
(b) the acute angle AOB.
The sum of the digits of a two digit number is 10. If 36 is subtracted from the number, the digit interchange their places Find the number
Step-by-step explanation:
Let A be the tens digit of the number and B be the ones digit.
We have A + B = 10 and 10A + B - 36 = 10B + A.
=> A + B = 10 and 9A - 36 = 9B
=> A + B = 10 and A - 4 = B
=> A + B = 10 and A - B = 4
Therefore 2A = 10 + 4 = 14,
A = 7 and B = 10 - 7 = 3.
Hence the number is 73.
Find the slope between the two points.
(2,7) and (5, 8 )
Answer:
Slope
0.33
Step-by-step explanation:
How do i solve
X^56 x X^14
Answer:
x^70
Step-by-step explanation:
When multiplying exponents, you just add them up.
x^56+14= x^70
Question 10
Which of the choices below is an irrational number?
Answer:
it is C (squr. root 18)
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
√18 because is not a perfect square or you can write it as a fraction
15 is what % of 60:(
Answer:
25%
Step-by-step explanation:
Find the value of x in the triangle shown below
Chose 1 answer
A. x = 2
B. x = 5
C. x = square root of 5
D. x = square root of 17
Answer:d
Step-by-step explanation:
Answer:
i think d
Step-by-step explanation:
it seems right
The number of oranges purchased varies directly as the price of the oranges. If 11 oranges cost $2.35, what is the cost of 18 oranges?
Solve the compound inequality n+2≤−5 and n+6≥−6 .
Offering 100 Points for someone to complete the worksheet.
Answer:
what is the question?
please post the question
Question 2. Mode is the
(a) middle most frequent
value
(b) least frequent value
(c) maximum frequent value
(d) none of these
On considère les deux expressions A et B. A=4(x+5)-8 B=x au carré+15. Avec x=1,puis avec x=3, je trouve le même résultat pour A et B donc, quel que soit le nombre x, on a A = B. Emma a-t-elle raison ? Justifier la réponse.
Explication étape par étape:
Compte tenu des expressions ';
A = 4 (x + 5) -8
B = x² + 15
Nous devons vérifier si A = B pour les deux valeurs de x à x = 1 et x = 3
à quand x = 1
A = 4 (1 + 5) -8
A = 4 (6) - 8
A = 24-8
A = 16
B = x² + 15
B = 1² + 15
B = 1 + 15
B = 16
Donc à quand x = 1, A = B = 16
quand x = 3
A = 4 (x + 5) -8
A = 4 (3 + 5) -8
A = 4 (8) - 8
A = 32-8
A = 24
B = 3² + 15
B = 9 + 15
B = 24
Également lorsque x = 3, A = B = 24
Cela montre que le postulat d'Emmas est juste.
( Which of the following best describes an ecosystem in a neighborhood garden?
Solve the system of equations 4x + y = 8 and 5x + 2y = 13 using any method.
Answer:
x=1, y=4 or (1,4)
Step-by-step explanation:
Step-by-step explanation:
4x + y = 8
-4x -4x
y = -4x+8
5x + 2y = 13
-5x -5x
2y/2 = -5x/2 + 13/2
y = -5/2x+13/2
ASAP PLEASE HELP ME
Answer:
6 would be opposite
Step-by-step explanation:
Jerry borrowed $400 for 5 years at 6% simple interest rate. What will the value of Jerry’s account be after 5 years
Answer:
here's the answers...,........
helpppppp plssssssss
Answer:
d
Step-by-step explanation:
I THINK
Which line has a slope of 1/2 and passes through (2,-4) ?
Using interval notation, the domain off is [- 3, 5] and the domain of g is [- 2, 7] . On what domain is f defined
Note: I am assuming you mean ''on what domain is f+g is defined''.
Answer:
We conclude that
Dom(f+g) = [-2, 5]Step-by-step explanation:
Given the domain of f
[-3, 5]
Given the domain of g
[-2, 7]
The domain of a composition f+g would include the intersection of both domains.In other words, the domain of a composition f+g includes all the inputs of x-values that are in the domain of both functions i.e. f and g.
so
Domain of f = [-3, 5]
The x-values lie in the domain of f interval are:
x = -3, -2, 1, 0, 1, 2, 3, 4, 5
Domain of g = [-2, 7]
The x-values lie in the domain of g interval are:
x = -2, 1, 0, 1, 2, 3, 4, 5, 6, 7
Therefore, the common x-values in both f and g would be:
-2, 1, 0, 1, 2, 3, 4, 5
Thus, we conclude that
Dom(f+g) = [-2, 5]
If a temperature is 2 °C and falls by 7 °C, what is the new temperature?
Answer:
-5 degrees C
2 degrees C minus 7 degrees C
hope this helps you
Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 6 meters. They already have 10 meters of fencing.
How many more meters of fencing should they buy?
Answer:a
Step-by-step explanation:
a
Gabby spents $44.10 for 14 gallons of gas.what was the unit cost or price per gallon
Answer:
The unit cost is $3.15
Step-by-step explanation:
Here, we want to get the price per gallon
mathematically, that will be total amount spent divided by the number of gallons
That will be;
44.10/14 = $3.15
estimate of 2728/124
Answer: the real answer is 22 but a way for you to get a good estimate would be too look at the equation as 2730/120 and then you would get 22.75.
Step-by-step explanation:
Answer: the real answer is 22 but a way for you to get a good estimate would be too look at the equation as 2730/120 and then you would get 22.75.
Step-by-step explanation:
6+9=−3−21−6 for .
help meeeeeeeeee
Answer:
15= -30
Step-by-step explanation:
I don't know if this is complete because the question cut off
The Answer is : 15=−30
Order the set of integers from greatest to least. {-100, -89, -124, -69, -52}
Answer:
-52, -69, -89, -100, -124
Step-by-step explanation:
When your dealing with negative numbers the smaller number the larger it is.
Hope this helps have a nice day:)
What the answer is for this question
Answer:
im pretty sure its 24
Step-by-step explanation:
because 12+12=24