Answers
Answer:
[tex]x = y = 3\sqrt{ 2[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find x and y
The given triangle has 45 degrees as one of its angles, and it is also a right angle triangle.
For this kind of parameter, the opposite = the adjacent
i.e. x = y
Apply Pythagoras theorem
[tex]x^2 + y^2= 6^2[/tex]
Substitute x for y
[tex]y^2 + y^2= 6^2[/tex]
[tex]2y^2= 36[/tex]
Divide by 2
[tex]y^2 = 18[/tex]
Take square root
[tex]y = \sqrt{18[/tex]
[tex]y = \sqrt{9 * 2[/tex]
Split
[tex]y = \sqrt{9} *\sqrt{ 2[/tex]
[tex]y = 3*\sqrt{ 2[/tex]
[tex]y = 3\sqrt{ 2[/tex]
[tex]x = y = 3\sqrt{ 2[/tex]
Related Questions
Expand the following expression by using the distributive method
3(4x+5y)
Answers
Answer:
12x+15y
Step-by-step explanation:
How many gallons are in half a quart
Answers
Answer:
1/8 gallon per half quart
Step-by-step explanation:
One quart is 1/4 gallon, so half quart is 1/8 gallon
Answer:
this seems like a weird question but 0.125
Contamination problems in semiconductor manufacturing can result in a functional defect, a minor defect, or no defect in the final product. Suppose that, 20, 50 and 30% of the contamination problems result functional, minor and no defects respectively. Assume that the effects of 10 contamination problems are independent. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that the 10 contamination problems result in two functional defects and five minor defects
Answers
Answer:
The answer is "[tex]8.5\times 10^{-9}[/tex]".
Step-by-step explanation:
Following are the calculation of the multinomial distribution probability:
[tex]\to (\frac{10!}{(2! \times 5! \times 3!)})\times(0.2)^2 \times(0.5)^5 \times (0.3)^3 \\\\ \to (\frac{10!}{(2! \times 5! \times 3!)})\times 0.04 \times 0.03125 \times 0.027\\\\ \to (\frac{10\times9\times8 \times7 \times6 \times5! }{(2! \times 5! \times 3!)})\times 3.37 \times 10^{-5}\\\\ \to (\frac{10\times9\times8 \times7 \times6 }{(2 \times 1 \times 3 \times 2 \times 1 )})\times 3.37 \times 10^{-5}\\\\[/tex]
[tex]\to (\frac{10\times9\times8 \times7 }{(2)})\times 3.37 \times 10^{-5}\\\\ \to (5 \times 9 \times 8 \times 7 )\times 3.37 \times 10^{-5}\\\\ \to 45 \times 56 \times 3.37 \times 10^{-5}\\\\ \to 45 \times 56 \times 3.37 \times 10^{-5}\\\\ \to 2520 \times 3.37 \times 10^{-5}\\\\\to 8492.4 \times 10^{-5}\\\\\to 8.4924\times 10^{-9}\\\\ \to 8.5\times 10^{-9}[/tex]
which fraction is equivalent to 2/16
Answers
Answer:
1/8
Step-by-step explanation:
Answer:
1/8, 4/32
Step-by-step explanation:
WILL GIVE THE BRAINLIEST PLS HURRY
if 1/8 of the shaded part is striped, how much of the bar is striped?
Answers
Answer:
7/8?
Step-by-step explanation:
which set of points lie on the given graph?
• (-3, 9), (-1, 5), (3, 3)
• (3, 9), (1, -5), (3, 3)
• (3, 9), (-1, 5), (3, 3)
• (-3, 9), (-1, 5), (3, -3)
Answers
What is the Definition of Math?
Answers
Answer:
mathematics
Step-by-step explanation:
Example....
"She teaches math and science" .
calculate the distance between two points (-6,8) and (-8,3) ?
Answers
over
3 - 8
-2 over -5 so 2/5
Answer:
d = √29
Step-by-step explanation:
Use the distance formula d = √(x2 - x1)² + (y2 - y1)²
d = √(x2 - x1)² + (y2 - y1)²
d = √(-8 - -6)² + (3 - 8)²
d = √(-2)² + (5)²
d = √4 + 25
d = √29
Please help
look at picture
Any answers not related to the question above will be reported
Answers
Answer:
5206 cm^2
Step-by-step explanation:
2(31×23 + 31×35 + 23×35)
2(713 + 1085 + 805)
2(2603)
5206
Adam is comparing the graphs of y=4x and y=8x. Which of the following statements is TRUE?
Answers
Maddie and Leah both play offense for their school's soccer team. This year, they decided to keep track of their goals and assists in a friendly competition. So far, Maddie has made 1 goal and 2 assists. Leah has made 2 goals and 5 assists. Do Maddie and Leah have the same ratio of goals to assists so far?
Answers
Answer:
no they don't
Step-by-step explanation:
leah has a higher goal-assist ratio with 1 more assist than maddie
An item on sale costs 85% of the original price. if the original price was $60, what is the sale price?
Answers
Answer:
9 dollars
Step-by-step explanation:
60*0.85=51
51 is the amount of money you're being discounted.
60-51= 9
Answer:
$46.75
Step-by-step explanation:
The amount the sale item costs now is 0.85($55) = $46.75.
That 85% is equivalent to 0.85.
A group of researchers asked 90 college students about a time they had delivered bad news to someone. The accompanying table shows the results fo news given. (a) Using this table as an example, explain the idea of a frequency table to a person who has never had a course in statistics. (b) Explain th meaning of the pattern of results. Click the icon to view the results for the type of bad news given. (a) Which statement below best explains the idea of a frequency table? O A. This frequency table shows the number of college students who had to deliver each type of bad news to someone. For example, 21.1 students bad news about the relationship with family, which was 19% of the total responses. OB. This frequency table shows the number of college students who had to deliver each type of bad news to someone. For example, 19 students ha bad news about the relationship with family, which was 21.1% of the total responses. O C. This frequency table shows the total number of college students who responded to the study. For example, 19 students had to deliver bad news relationship with family, which was 21.1% of the total responses.
Answers
Find the area of the shaded region, in each figure. (Use N= 3.14)
Answers
Answer:MY BUTT
Step-by-step explanation: WHY ARE U WAITING FOR OTHERS TO ANSWER YOUR QUSTION
Area of a rectangle
Equation
Answers
Therefore, equation is A=2(l+b)
-3(p-7) ≥ 21 sovleplzzz
Answers
Answer:
-3p+21≥21
Step-by-step explanation:
18m+42n in distributive property
Answers
Adnswer:
18m+42n in distributive property=6(3m+7n)
Step-by-step explanation:
Answer and Step-by-step explanation:
The answer to this expression would be 6(3m + 7n).
18m + 42n is the distributive version of the same expression.
To un-distribute, you would find the greatest common factor of both numbers, and pull it out of the expression.
18 and 42 have a greatest common factor of 6.
18 divided by 6 is 3.
42 divided by 6 is 7.
That leaves us with 6(3m + 7n).
#teamtrees #PAW (Plant And Water)
A drink and a sandwich together cost $4.85. The sandwich cost $1.35 more than the drink. How much does the sandwich cost.
Answers
$4.85+1.35=6.20
The sandwich will cost $3.1.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Let's say the cost of 1 drink is d while the cost of 1 sandwich is s
Now,
Given that,
A drink and a sandwich together cost $4.85.
So,
s + d = 4.85
And,
The sandwich cost $1.35 more than the drink.
So,
s = 1.35 + d
By using substitution
s = 1.35 + 4.85 - s
2s = 6.2
s = 3.1
Hence "The sandwich will cost $3.1".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ2
The mean age of 6 women in an office is 34 years old. The mean age of 8 men in an office is 34 years old. What is the mean age (nearest year) of all the people in the office?
Answers
Step-by-step explanation:
204+272/14=34 years old
What is the perimeter of the triangle?
Answers
Step-by-step explanation:
perimeter of triangle = sum of all sides
PRETTY PLEASE HELP!! ILL GIVE BRAINLIEST! it’s due tonight :(
Answers
Answer:
a = 8 m
Step-by-step explanation:
Since, given is an isosceles right triangle.
So, by Pythagoras theorem:
[tex] {a}^{2} + {a}^{2} = {(8 \sqrt{2} )}^{2} \\ \\ 2 {a}^{2} = 128 \\ \\ {a}^{2} = \frac{128}{2} \\ \\ {a}^{2} = 64 \\ \\ a = \sqrt{64} \\ \\ a = 8 \: m[/tex]
Please help and give brainliest answer
Answers
(a^4+5a^2+4)(7a^2)
The answer is:
7a^6+35a^4+28a^2
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Answers
Answer:
tyyyy
Step-by-step explanation:
What is 1/5 doubled?
Answers
Answer:
2/5
Step-by-step explanation:
1/5 · 2/1 = 2/5
Good luck, I hope this helps :)
Find the volume of the composite solid shown below, Round answer to the nearest hundredth.
add the substitute
it means like adding a equation for both of them
Answers
Quotient of 5 and 1/2
Answers
Answer:
5 divided by 1/2 try that
Step-by-step explanation:
yeah tr this
Answer:
The answer is 10
Step-by-step explanation:
5/(1/2) or 5 times the reciprocal of (1/2) known as 2 would be 10
Ok so I have this problem, 12x+24=6x+3. WHAT DO I DO IF THE X HAS DIFFERENT NUMBERS. Oh and for 5-2x=2x-5 what do i do if ones a negative and ones a positive. Im trying to find the answer and if its 1 solution, no solution, or infinite solutions. Im sure people on here can reply quicker then my math teacher.
Answers
Answer: one solution; that solution is x = -7/2 which is the same as x = -3.5
====================================================
Work Shown:
The idea is to get all the x terms to one side, and the other stuff to the other side. We follow PEMDAS in reverse to help isolate x
12x+24 = 6x+3
12x+24-24 = 6x+3-24 .... subtract 24 from both sides
12x = 6x-21
12x-6x = 6x-21-6x ...... subtract 6x from both sides
6x = -21 ...... now the x terms are all on one side
6x/6 = -21/6 ...... dividing both sides by 6
x = -21/6
x = (-7*3)/(2*3)
x = -7/2
x = -3.5
This is the only solution. Whenever we have different coefficients for the x terms like this, we can see right off the bat we have exactly one solution. Consider graphing y = 12x+24 and y = 6x+3. The two lines will intersect at the point (x,y) where the x coordinate is the solution to the original equation. There is only one point of intersection which corresponds to exactly one solution.
The thing to notice about y = 12x+24 and y = 6x+3 is that the slopes are not the same, so the lines aren't parallel. Parallel lines always have equal slopes but different y intercepts. If your teacher gave you 12x+24 = 12x+3, then the two lines to graph would be y = 12x+24 and y = 12x+3. At this point, we would get two parallel lines that don't intersect, and therefore we wouldn't get any solutions here.
Solve the inequality.
2n > 30
Answers
Answer:
Your answer tho this question is N > 15
Work :
2n>30
Divide both sides by 2.
2n/2 > 30/2
n>15
Hope this helps
Write an that
5. Hog head cheese costs $2.15 per pound. ad equation best represents y, the total
cost of x pounds of Hog Head cheese?
Answers
Answer:
[tex]y = 25x[/tex]
Step-by-step explanation:
Given
[tex]Rate = 25[/tex]
Required
Cost of x pounds
To do this we simply multiply x by the rate
[tex]y =Rate * x[/tex]
[tex]y = 25 * x[/tex]
[tex]y = 25x[/tex]
First, if you buy a single ticket, you have a 1 out of 24.87 chance of winning a prize. What is the probability that that you do NOT win a prize when you buy a single ticket?
Answers
Answer:
You would have a 95.98 chance of NOT winning.
Step-by-step explanation:
Answer:
Step-by-step explanation:
1/24.87
100/2487 probability of winning (about 4% chance), the probability of losing is then
(2487-100)/2487
2387/2487 (about 96% chance) of losing.