Answers
Related Questions
In this right triangle, what is the length of the unknown side?
Answers
Answer:
√104 in
Step-by-step explanation:
Well to start off we can use Pythagorean's theorem ~ A^2 + B^2 = C^2
in this case we will indirectly use this formula. Now we know this; A^2 + 11^2 = 15^2
Let's start using some algebra now B )
A^2 + 121 = 225 > A^2 = 225 - 121 > A^2 = 104 > A = √104
Which is the answer. ALso if you're the brainy type and want to know how to simplify this even further...
Can the Square Root of 104 Be Simplified?
104 can be simplified only if you can make 104 inside the radical symbol smaller. This is a process that is called simplifying the surd. In this example, the square root of 104 can be simplified.
√104 = 2√26.
A tuna can weighs eighty-five grams. What is the weight of eleven tuna cans?
Answers
Answer:
85g*11=935g
Step-by-step explanation:
1 tuna can = 85g
11 tuna cans is= 1*11
so 85g*11
Answer:
935 grams
Step-by-step explanation:
1 tuna can weights = 85 grams
11 tuna can weights= 85 x 11
so 11 tuna can = 935 grams
weights
Which statements describe the solutions to ? Check all that apply. There are no true solutions to the radical equation. X = 2 is an extraneous solution. X = 3 is a true solution. There is only 1 true solution to the equation. The zeros of 0 = x2 – 5x 6 are possible solutions to the radical equation.
Answers
You can square both the sides and then use the formula for finding the roots of the obtained quadratic equation to find the solution needed.
The statements describing the solutions to the given equations are
Option C: x = 3 is a true solution.Option E: The zeroes(also called solutions) of [tex]x^2 - 5x + 6 = 0[/tex] are possible solutions to the radical equation.How to find the solutions to a quadratic equation?Let the quadratic equation be [tex]ax^2 + bx + c = 0[/tex]
Then the solution to this quadratic equation is given as
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
What are extraneous solutions?Those values of the variables who come out behaving like solutions but when tested, doesn't get proved as solutions to the given equation are called extraneous solutions.
Using that above conclusion to find the solutions to the given equationSolutions to an equation means those values of the unknown for which the equation is true.
The given equation is
[tex]\sqrt{x-2} -4 = x - 6[/tex]
Converting that equation to quadratic form, we get
[tex]\sqrt{x-2} -4 = x - 6\\\\\sqrt{x-2} = x - 2\\[/tex]
From the obtained equation, we can see that x-2 is such a number whose square root is it itself. It is true for 2 numbers only.
First 1, and second 0.
Putting these values, we get
[tex]x-2 = 1\\x = 2+1 = 3\\\\x-2 = 0\\x = 2[/tex]
Thus, there are two solutions to the given equation. They are x = 2, and x = 3
Testing both the solutions by putting them in the given equation.
Case 1: x = 2
[tex]\sqrt{x-2} -4 = x - 6\\\sqrt{2-2} - 4 = 2 - 6\\0-4 = -4\\-4 = -4[/tex]
This is correct equality, thus, x = 2 is a correct solution.
Case 2: x = 3
[tex]\sqrt{x-2} -4 = x - 6\\\\\sqrt{3-2} - 4 = 3 - 6\\1 - 4 = -3\\-3 = -3[/tex]
This is correct equality, thus, x = 3 is a correct solution.
The zeroes(also called solutions) of [tex]x^2 - 5x + 6 = 0[/tex] is found as:
[tex]x^2 - 5x + 6 = 0\\x^2 - 3x - 2x +6 = 0\\(x-2)(x-3) = 0\\x = 2, x = 3[/tex]
Thus, the The zeroes(also called solutions) of [tex]x^2 - 5x + 6 = 0[/tex] are possible solutions to the radical equation given.
Thus,
Option C: x = 3 is a true solution.Option E: The zeroes(also called solutions) of [tex]x^2 - 5x + 6 = 0[/tex] are possible solutions to the radical equation.Learn more about extraneous solutions here:
https://brainly.com/question/26218294
Answer:
C and E are the correct answers.
Step-by-step explanation:
It's correct on Edgen. (2022)
I WILL GIVE BRAINLEST!!!!!! On the coordinate plan, what is the distance between the points (4.2) and (-7, 2)? A) 3 Di 11
Answers
Answer:
Step-by-step explanation:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\=\sqrt{(-7-4)^2+(2-2)^2} \\=11[/tex]
Answer:
D) 11
Step-by-step explanation:
The points have in common the same value of the y-axis so the distance between them is the sum of the absolute values of x-axis.
Absolute values are always positive:
4 + 7 = 11
Hope this helps
The numbers 38, 79, 17, 43, 74, 96, and 87 are re-arranged so that starting with the second number, the tens digit of each number is equal to the units digit of the previous number. What is the fourth number in this new list?
Answers
Answer:
38
Step-by-step explanation:
Sequential pairs will be ...
38 - 87
79 - 96
17 - 74 or 79
43 - 38
74 - 43
96 - (none)
87 - 74 or 79
We notice that 17 has no preceding number. It must be first in the list. 79 cannot be second, because that skips a bunch of numbers. The sequence appears to be ...
17 - 74 - 43 - 38 - 87 - 79 - 96
The 4th number in the list is 38.
calculate the value of x in each case
Answers
Exact answer: [tex]x = \frac{\sqrt{601}}{2}\\\\[/tex]
Approximate answer: [tex]x \approx 12.2577[/tex]
====================================================
How to find the answer:
Focus on the largest triangle. It appears to be a right triangle. If so, then we can use the pythagorean theorem to get the following:
[tex]a^2 + b^2 = c^2\\\\a^2 + 12^2 = 13^2\\\\a^2 + 144 = 169\\\\a^2 = 169 - 144\\\\a^2 = 25\\\\a = \sqrt{25}\\\\a = 5[/tex]
The horizontal leg of the largest right triangle is 5 units long.
The identical single tickmarks tell us that the horizontal leg is cut into two smaller pieces of equal length.
Each smaller piece is 5/2 = 2.5 units long.
------------------------------
Now focus on the smaller skinny right triangle with legs a = 2.5, b = 12 and hypotenuse c = x.
Use the pythagorean theorem again to find the hypotenuse x.
[tex]2.5^2 + 12^2 = c^2\\\\6.25 + 144 = x^2\\\\150.25 = x^2\\\\x^2 = 150.25\\\\x = \sqrt{150.25}\\\\x = \sqrt{\frac{601}{4}}\\\\x = \frac{\sqrt{601}}{\sqrt{4}}\\\\x = \frac{\sqrt{601}}{2}\\\\x \approx 12.2577[/tex]
Which functions have a maximum and are transformed to the left and down of the parent function, f(x) = x2? Check all that apply. P(x) = 14(x 7)2 1 q(x) = –5(x 10)2 – 1 s(x) = –(x – 1)2 0. 5 g(x) = 2x2 10x – 35 t(x) = –2x2 – 4x – 3.
Answers
Transformation of a function is shifting the function from its original place in the graph.
The functions have a maximum and are transformed to the left and down of the parent function are,
[tex]q(x) = -5(x +10)^2 -1[/tex]
[tex]t(x) = -2x^2 - 4x - 3[/tex]
Thus the option B and E is correct.
What is transformation of a function?
Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
Horizontal shift- Let the parent function is [tex]f(x)[/tex]. Thus by replacing parent function with [tex]f(x-b)[/tex] shifts the graph b units right and by replacing parent function with [tex]f(x+b)[/tex] shifts the graph b units left.Vertical shift- Let the parent function is [tex]f(x)[/tex]. Thus by replacing parent function with [tex]f(x)-c[/tex] shifts the graph b units down and by replacing parent function with [tex]f(x)+c[/tex] shifts the graph b units up.
Given information-
The given function in the problem is,
[tex]f(x)=x^2[/tex]
The functions have a maximum and are transformed to the left and down of the parent function.
In the option B the function is shifted 10 units left and 1 units down as,
[tex]q(x) = -5(x +10)^2 -1[/tex]
Thus the option B is the correct option.
In the option E the function is shifted 1 units left and 2 units down as,
[tex]t(x) = -2x^2 - 4x - 3\\t(x)=-2x^2 - 4x - 1-2\\t(x)=-2(x+1)^2-2[/tex]
Thus the option E is the correct option.
Hence, the functions have a maximum and are transformed to the left and down of the parent function are,
[tex]q(x) = -5(x +10)^2 -1[/tex]
[tex]t(x) = -2x^2 - 4x - 3[/tex]
Thus the option B and E is correct.
Learn more about the transformation of a function here;
https://brainly.com/question/10904859
The sales tax in your city is 8.8%, and an item costs $63.50. How much tax would you pay on that item?
Answers
Step-by-step explanation:
63.5*0.088 =5.588 tax for your answer
Find the equation of the line shown
Answers
Answer:
y=1/2x+1/2
Step-by-step explanation:
please mark brainliest!
Answer the question below
Answers
Answer:
Step-by-step explanation:
y = mx + b.y = 15/13x − 10/13
Answer:
The answer is y = 15x/13 – 10/13.
Step-by-step explanation:
We are given equation
15x – 13y = 10Now, The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
Rewrite in slope-intercept form.
15x – 13y = 10
Subtract 15x from both sides of the equation we get,
15x – 15x – 13y = 10 – 15x
-13y = 10 – 15x
Divide each term by -13 and simplify.
-13y/(-13) = 10 – 15x ÷ (-13)
Cancel the common factor of -13
y = -10/13 + 15x/13
Now, Rearrange it
y = 15x/13 – 10/13
Thus, The answer is y = 15x/13 – 10/13.
-TheUnknownScientist 72
Please help thank you
Answers
the greater the number is in the negatives, the lesser the amount is. that's why -4 is less than -1, 1 is greater than -3, and -3 is less than -1.
have a good day!
What is X equal to?
Points are 15
Answers
question is equaled to 180 degrees
Solve the system by substitution.
-2x=y
4x+10y=16
Answers
Answer:
x=-1, y=2
Step-by-step explanation:
Plug the y=-2x into the second equation in place of the y to get 4x+10(-2x)=16
Simplify this to 4x-20x=16 then to -16x=16
Divide both side by -16 to get x=-1
Plug x=-1 into the first equation to get -2(-1)=y
Simplify to get y=2
How many liters of water should be added to 18 liters of a 14% bleach solution so that the resulting solution contains only 10% bleach? Original (L) Added (L) New (L) Amount of Bleach 2. 52 0 Amount of Solution 18 x 1. 8 liters 7. 2 liters 15. 5 liters 25. 2 liters.
Answers
The amount of water that should be mixed with 18 liters of 14% bleach solution to form 10% bleach solution is 7.2 liters.
What amount of water should be mixed with 1 liter of 14% bleach?The amount of water should be mixed with 1 liter of 14% bleach solution,
we know that the water will have 0% bleach. thus, the amount of water we need to mix with the 14% bleach solution is (2/5) liters.
Therefore, the ratio of water and bleach solution can be written as,
[tex]\rm \dfrac{14\%\ solution}{Water} = \dfrac{5}{2}[/tex]
What amount of water should be mixed with 18 liters of 14% bleach?We know the ratio of water and bleach solution that should be mixed to form a 10% concentration bleach is (5/2), therefore, we will use the same ratio,
[tex]\rm \dfrac{14\%\ solution}{Water} = \dfrac{5}{2}[/tex]
[tex]\rm \dfrac{18}{Water} = \dfrac{5}{2}\\\\\rm {Water} = \dfrac{18\times 2}{5}\\\\\rm Water = 7.2\ liters[/tex]
Hence, the amount of water that should be mixed with 18 liters of 14% bleach solution to form 10% bleach solution is 7.2 liters.
Learn more about Ratio:
https://brainly.com/question/1504221
greatest common factor 32 and 45
Answers
Answer:
1
Step-by-step explanation:
factors of 32 = 1, 2, 4, 8, 16, 32; factors of 45 = 1, 3, 5, 9, 15, 45) and choose the greatest factor that exactly divides both 32 and 45 is 1
Answer:
GCF = 1
Step-by-step explanation:
factors of 32: 1,2,4,8,16,32
1 x 32
2 x 16
4 x 8
factors of 45: 1,3,5,9,15,45
1 x 45
3 x 15
5 x 9
only value in common is 1
Elizabeth has a swimming pool at home. She wants to build a deck all the way around her rectangular swimming pool. The width of her swimming pool is 8 feet and the length is 10 feet. If she has enough wood to build a deck that is 280ft, how wide can she make the deck?
Answers
Using the perimeter of a rectangle, it is found that she can make a deck of 122 ft wide.
What is the perimeter of a rectangle?The perimeter of a rectangle of length l and width w is given by:
[tex]P = 2(l + w)[/tex]
In this problem:
She has enough wood to build a deck that is 280ft, hence P = 280.The length is of 10 feet, hence l = 10.Considering that the deck's width will be added to the actual width of 8 feet, we have that w = 8 + w.Then:
[tex]P = 2(l + w)[/tex]
[tex]280 = 2(10 + 8 + w)[/tex]
[tex]36 + 2w = 280[/tex]
[tex]2w = 244[/tex]
[tex]w = \frac{144}{2}[/tex]
[tex]w = 122[/tex]
She can make a deck of 122 ft wide.
You can learn more about the perimeter of a rectangle at https://brainly.com/question/10489198
(4 X 3) X 2 please help me!! she needs help again
Answers
Answer:
(4 x 3) x 2=
=12 x 2
=24
Step-by-step explanation:
Step-by-step explanation:
(4 × 3) × 2
Always solve the one in the bracket first.
(4 × 3) ×2
(12) × 2
Now, you can multiply both numbers.
12 × 2
=> 24
Hope it helps you. Good night.
The table below shows the heights of players on a high school's football and basketball teams.
Football Team Basketball Team
72" 78"
80" 79"
74" 79"
76" 80"
76" 76"
79" 77"
78" 77"
73" 76"
79" 77"
68" 74"
70" 74"
What is the mean height for both teams and the mean difference? Round to the nearest inch, if necessary.
A
Football Team Mean: 75"
Basketball Team Mean: 77"
Difference: 2"
B
Football Team Mean: 77"
Basketball Team Mean: 75"
Difference: 2"
C
Football Team Mean: 76"
Basketball Team Mean: 77"
Difference: 1"
D
Football Team Mean: 80"
Basketball Team Mean: 80"
Difference: 0"
Answers
Using the mean concept, it is found that the correct option is given as follows:
A
Football Team Mean: 75"
Basketball Team Mean: 77"
Difference: 2"
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
For the football team, considering the 11 players, it is given by:
M = (72 + 80 + 74 + 76 + 76 + 79 + 78 + 73 + 79 + 68 + 70)/11 = 75"
For the basketball team, it is given by:
M = (78 + 79 + 79 + 80 + 76 + 77 + 77 + 76 + 77 + 74 + 74)/11 = 77"
The difference is the subtraction of the means, hence:
D = 77" - 75" = 2"
Thus option A is correct.
More can be learned about the mean concept at https://brainly.com/question/24628525
Which graph below is a tree graph?
Answers
Answer:
The third one, I think.
Step-by-step explanation:
Hopes this helps. <3
don’t get this question , need some help thankssss
Answers
Answer:
PQ = 37 Km
Step-by-step explanation:
let PQ = x , then
PR = x + 15 and QR = 3(x + 15) = 3x + 45
sum the parts and equate to 245
x + x + 15 + 3x + 45 = 245 , that is
5x + 60 = 245 ( subtract 60 from both sides )
5x = 185 ( divide both sides by 5 )
x = 37
then
PQ = x = 37 Km
If the price of pineapple juice was $4.50 a gallon and it is now $5.75 a gallon, what is the percentage change in price
Answers
Answer:
1 doller and 25 cents so easy
Step-by-step explanation:
What would be the cost of 6.75 if you include 4.5% sales tax and a 20% tip
Answers
Answer:
8.40
Step-by-step explanation:
so I put 20x6.75/100 which = 1.35 and 4.5x6.75/100 which = .30 and I added .30 to 6.75 which = 7.05 and then I added 1.35 to that and got 8.40
so I got $8.40
Answer the question below!
A ramp is being built at a 30 degree angle from the ground. it must cover 10 horizontal feet. what is the length of the ramp?
Round your answer to the nearest hundredth of a foot.
Don't know if this is a feature, but if you can, draw a picture and show your work.
A) 11.5 ft.
B) 12.41 ft.
C) 13.53 ft.
D) 16.91 ft.
E) 5.77 ft.
Answers
Answer:
Step-by-step explanation:
Your family is planning to drive 1560 kilometers on a road trip. How many miles is the trip?
Answers
Answer:
The answer is 969.3 miles
Step-by-step explanation:
1560 kilometers = 969.3 miles
Multiplying Polynomials Distributive property
4a^2(a^5-2a^4+a)
Answers
Answer:
hey this is your anwser -16e^8+20e^4
Step-by-step explanation:
hey i think the girl in your pfp look supper cute i was wondering if you would like to get to know eachother better and be friends for a little bit
The plan for the Thorne’s backyard play area, shaped like a trapezoid, is shown. The area of the play area is 286.56 square feet. A border is planned around the perimeter of the play area. How many feet of material are needed for the border?
Answers
The length of material needed for the border is the perimeter of the backyard play area
How to calculate the length of material neededThe area of the play area is given as:
[tex]Area = 286.56[/tex]
The area of a trapezoid is calculated using:
[tex]Area = 0.5 * (L1 + L2) * H[/tex]
Where L1 and L2, are the parallel sides of the trapezoid and H represents the height.
The given parameter is not enough to solve the length of material needed.
So, we make use of the following assumed values.
Assume that the parallel sides are: 25 feet and 31 feet long, respectively.
While the other sides are 10.2 feet and 8.2 feet
The length of material needed would be the sum of the above lengths.
So, we have:
[tex]Length = 25 + 31 + 10.2 + 8.2[/tex]
[tex]Length = 74.4[/tex]
Using the assumed values, the length of material needed for the border is 74.4 feet
Read more about perimeters at:
https://brainly.com/question/17297081
PLZZZ HELPPP
I need help with this iready anyone
Answers
Answer:
ok so this is kinda hard to explain but. what I got out of it was since you are doing you know adding pos with neg so listen when you add something like a pos and a neg you put the pos on top right then you take and put the neg on bottom then you cross out how ever many negatives are there until there is no more negatives left right but that means your also gonna have to cross out how ever many neg there are with positives and if there are more negatives than positives your answer will be negative as well then you just count how many positives arent crossed out and then that would be your answer ect.
Step-by-step explanation:
hope this makes sense and i was able to help!
Find the value of x in the given
right triangle.
12
x
5
Enter your answer as a decimal rounded to the
nearest tenth
Answers
Check the picture below.
Make sure your calculator is in Degree mode.
Seven added by a number m is equal to twice the same number increased by three.
Answers
The answer is m=4
Hope this helps :)
Add subtract multuply
Answers
I'm not sure what the answer is but I'll add subtract and multiply something. Remember PEMDAS for the order of operations
10 x 2 - 5
= 20 - 5
= 15
That's an example
