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
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.
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
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...,........
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:
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
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
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
Which line has a slope of 1/2 and passes through (2,-4) ?
Find the slope between the two points.
(2,7) and (5, 8 )
Answer:
Slope
0.33
Step-by-step explanation:
Question 2. Mode is the
(a) middle most frequent
value
(b) least frequent value
(c) maximum frequent value
(d) none of these
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]ASAP PLEASE HELP ME
Answer:
6 would be opposite
Step-by-step explanation:
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
Solve the compound inequality n+2≤−5 and n+6≥−6 .
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
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?
( Which of the following best describes an ecosystem in a neighborhood garden?
Offering 100 Points for someone to complete the worksheet.
Answer:
what is the question?
please post the question
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
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
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.
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:
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.
15 is what % of 60:(
Answer:
25%
Step-by-step explanation:
What the answer is for this question
Answer:
im pretty sure its 24
Step-by-step explanation:
because 12+12=24
helpppppp plssssssss
Answer:
d
Step-by-step explanation:
I THINK
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:)
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:)
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
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