[tex]\left(2 + \sqrt 2 \right)\left(2-\sqrt 3 \right)\\\\=4- 2\sqrt 3 + 2 \sqrt 2 - \sqrt 6\\\\=0.91484.....[/tex]
i need someone whos really good at geometry to help with my finals pleaseeeeee
Answer:
8 in
Step-by-step explanation:
A 45-45-90 triangle is a special triangle with side length ratio 1 : 1 : √2
The legs are equal in length.
The length of the hypotenuse is √2 times the length of a leg.
Therefore, if the hypotenuse of a 45-45-90 triangle is 8√2 inches, the leg lengths are 8 inches each in length.
3) After measuring the heights of 7 people, they have an average height of 156cm. After
measuring the heights of 8 people they have an average height of 158cm. How tall is
the 8th person?
Answer greatly appreciated asap
Answer:
172 cm
Step-by-step explanation:
The total height of the first 7 people is the average of the 7 people multiplied by the number of people, which is 156 * 7 or 1092. Using the same method, the total height of the first 8 people is 158*8 or 1264. The eighth person must be 1264 - 1092 cm tall or 172 cm tall.
......................................
Answer:
D. f(x) = x - 4
Step-by-step explanation:
If you plug in the x values for the expression x - 4:
3 - 4 = -1
4 - 4 = 0
5 - 4 = 1
6 - 4 = 2
This means that the function rule is f(x) = x - 4
Hope this helps :)
Based on the following circle, solve for the value of a.
You invest $2,000 in an account that is compounded annually at an interest rate of 5%. You never
withdraw money from the account. How much money will be in the account after 4 years?
Answer:
$2,400
Step-by-step explanation:
First we need to find whatever that 5% is.
[tex]\frac{5}{100} \times \frac{2000}{1}[/tex]
Which gives us $100.
Now, we multiply the $100 by 4.
Which is $400.
Now, we add that to the $2,000.
Which gives us $2,400.
Sorry for the late reply but hope this helps
A bag of candy has a mass of 80 g. A chocolate bar has a mass of 110 g. What is the total mass of the bag of candy and the chocolate bar? (10 points) [help if you want points!]
total mass = mass of a bag of candy + mass of a chocolate bar
total mass = 80g +110g = 190g
click on the point f(-3)
Answer:
The point at f(-3) is at (-3,1).
Step-by-step explanation:
To find the y-value of a function at a specific point by using the graph, keep in mind that the x-axis is the axis that lies horizontally on the graph.
So, look along the horizontal line through the center until you find where x = -3. Now find the corresponding y-value to that x-value by looking above or below that point until you find where it intersects the graph. When you find that point, look to see what number the point corresponds with on the y-axis. In this case, it corresponds to y = 1.
Remember that ordered pairs are formatted as (x,y).
Hope this helps.
Which of the following points is a solution to the system of equations x - y = 1 and -x + 3y = - 7?
(-2,2) is a solution.
0 (-2, - 3) is a solution.
(1. - 2) is a solution.
(4.3) is a solution
Answer:
(-2,-3)
Step-by-step explanation:
Put the equations over each other.
[tex] \binom{x - y = 1}{ - x + 3y = - 7 } [/tex]
Subtract the x values.
[tex] \binom{ - y = 1}{3y = - 7} [/tex]
Subtract on both sides.
[tex]2y = - 6[/tex]
Divide on both sides.
[tex]y = - 3[/tex]
Insert the y value into one of the equations.
[tex]x - ( - 3) = 1[/tex]
Get rid of the parenthesis.
[tex]x + 3 = 1[/tex]
Subtract on both sides.
[tex]x = - 2[/tex]
You could also individually plug in each solution into both equations to see if they are true.
The volume of this right trapezoidal prism is 464.75 ft³.
What is the height, x, of the prism?
Enter your answer as a decimal in the box.
Answer:
so first you want to mulitply the 5,5,5.8, and 8 together to get 1160 then take away 464 from 1160 to get 696. then you add all of the numbers up to get 719.8 ten subtract .75 from that and you get 719.05. then take the cubic feet and get 200 then taky away 200 from 719.05 and get 519.05 then do that again
Step-by-step explanation:
219.05
A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a red face card (king, queen, or jack).
6 red face cards
->in favour:
6/52
= 3/26
-> against:
52-6= 46
46/52
=23/26
What is the solution to the system of equation s x+y=4. X=y-1
Answer:
x = 3/2
y = 5/2
Step-by-step explanation:
x + y = 4
x = y - 1
substitute y - 1 in for x in the first equation, to find y
y - 1 + y = 4
2y - 1 = 4
add 1 on both sides
2y - 1 = 4
+1 +1
2y = 5
divide by 2 on both sides
2y/2 = 5/2
y = 5/2
subtitute y in for the second equation, to find x
x = 5/2 - 1
x = 5/2 - 2/2
x = 3/2
so x = 3/2 and y = 5/2
to double check, plug x and y in the first equation
3/2 + 5/2 = 4
8/2 = 4
4 = 4
•Pls help•
Describe the Order of Operations. Create an example and explain each step using the order of
operations.
Answer:
The order of operations says that operations must be done in the following order: parentheses, exponents, multiplication, division, addition, and subtraction. You can also create a little phrase to go along with this, like "Please Excuse My Dear Aunt Sally." Whatever you choose, make sure that you know all six steps of the order of operations very well. The order of operations tells us the order to solve steps in expressions with more than one operation. First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right.
Step-by-step explanation:
hope this helps :)
Help help help please please
Answer:
The answer would be A.
Step-by-step explanation:
The answer would be A because the line is going down in question B, meaning that it would be a negative slope so that would not be correct. X=1x meaning that the line goes up one and goes right one block.Both of the slopes have the same y-interceptThe less than or equal sign (< with a line) is pointing away from y, meaning y is less than or equal to x+5. This doesn't matter in this graph in particular though because the inequality sign used for both graphs are the same here.What is the axis of symmetry for y=2x^2+16x-5
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
Convert to vertex form by completing the square
[tex]y=2x^2+16x-5\\\\y=2(x^2+8x-\frac{5}{2})\\ \\y+2(\frac{37}{2})=2(x^2+8x-\frac{5}{2}+\frac{37}{2})\\ \\y+37=2(x^2+8x+16)\\\\y+37=2(x+4)^2\\\\y=2(x+4)^2-37[/tex]
Since the equation is now in the form of [tex]y=a(x-h)^2+k[/tex], the axis of symmetry is where [tex]x=h[/tex], so, the axis of symmetry is [tex]x=-4[/tex].
Answer:
x=-4
Step-by-step explanation:
i took the test
need help with geometry (number3)
Answer:
Step-by-step explanation:
If this is a parallelogram., this means that the opposite angles are congruent. Thus, the erasure of angle E is equal to the measure of angle G.
So, 10x-21=4x+27, meaning x=8.
Therefore, the measure of angle E is 10(8)-21=59 degrees
Under a dilation, the point (2, 6) is moved to (6, 18).
What is the scale factor of the dilation?
Enter your answer in the box.
Answer quick please !!!
Answer:
3
Step-by-step explanation:
Answer: The correct answer is 3
Step-by-step explanation:
:) it should be correct have a good day!
Given the equation of a circle, x^2 + y^2 - 6x + 2y + 1 = 0, find the coordinates of the center and the length of the radius
Answer:
Center: (3,-1)
Radius: 3
Step-by-step explanation:
Given:
[tex]\displaystyle \large{x^2+y^2-6x+2y+1=0}[/tex]
First, we have to convert the following standard circle equation to this:
[tex]\displaystyle \large{(x-h)^2+(y-k)^2=r^2}[/tex]
where h is horizontal shift, k is vertical shift and r is radius.
That means we have to complete the square for both x-term and y-term.
Rearrange the equation:
[tex]\displaystyle \large{x^2-6x+y^2+2y+1=0}\\\displaystyle \large{(x^2-6x)+(y^2+2y+1)=0}[/tex]
For [tex]\displaystyle \large{y^2+2y+1}[/tex], can be converted to perfect square as [tex]\displaystyle \large{(y+1)^2}[/tex]. Hence:
[tex]\displaystyle \large{(x^2-6x)+(y+1)^2=0}[/tex]
For the x-terms, we have to find another value that can complete the square. We know that [tex]\displaystyle \large{(a\pm b)^2 = a^2 \pm 2ab + b^2}[/tex].
For [tex]\displaystyle \large{x^2-6x}[/tex] can be [tex]\displaystyle \large{x^2-2(x)(3)+3^2 \to x^2-6x+9}[/tex]. So our another value is 9.
[tex]\displaystyle \large{(x^2-6x+9-9)+(y+1)^2=0}[/tex]
From above, we add -9 because the original expression isn’t actual perfect square.
Separate -9 out of [tex]\displaystyle \large{x^2-6x+9}[/tex]:
[tex]\displaystyle \large{(x^2-6x+9)-9+(y+1)^2=0}[/tex]
Transport -9 to add another side:
[tex]\displaystyle \large{(x^2-6x+9)+(y+1)^2=9}[/tex]
Complete the square:
[tex]\displaystyle \large{(x-3)^2+(y+1)^2=9}[/tex]
Finally, we have our needed equation to find radius and center. The coordinate of center is defined as the point (h,k) from [tex]\displaystyle \large{(x-h)^2+(y-k)^2=r^2}[/tex] and the radius is defined as r.
Hence, from the equation:
The coordinate of center is (3,-1) with radius equal to 3.
Evaluate the double integral int int y^3 dA where D is the triangular region with vertices (0,1), (7,0) and (1,1).
Answer:
1/5
Step-by-step explanation:
Refer to the image for the region. I've chosen to "scan" the region horizontally for convenience sake, so x varies for values between the green and the red line, and y varies from 0 to 1.
The two lines have equations [tex]x=7-6y[/tex] (red line) and [tex]x=7-7y[/tex] (green line). Since we're integrating first with respect to x, it's easier to write the equation like that and not as [tex]y=mx+q[/tex] since they will become our new limits of integration
Our double integral will become
[tex]\int \limits_0^1 \ \ \int \limits_{7-7y}^{7-6y}y^3dxdy = \int \limits_0^1 y^3x|\limits_{7-7y}^{7-6y} dy =\\\int \limits_0^1 y^3[(7-6y)-(7-7y)]dy = \int \limits_0^1y^3(y)dy =\\\int \limits_0^1 y^4dy =\frac15y^5|\limits_0^1=\frac15[/tex]
find C.P if S.P = Rs 208, profit percent = 4%
Answer:
Rs 200
Step-by-step explanation:
100/104×Rs 208
Rs 200
S.P = 208
4%×208=8.32
208-8.38=199.68
Therefore, C.P = ₹199.68
so approximately C.P = ₹200
what ratio is equivilant to 4 : 5
Answer:
Any ratio where the original sides are both multiplied by the same number.
For example,
4 : 5 (your ratio)
4 x 2 : 5 x 2 (multiply both sides by a number)
8 : 10 (equivalent ration)
Help help help help
Answer:
h=3/2. V=3(root)3
Step-by-step explanation:
A house has decreased in value by 28% since it was purchased. If the current value is $90,000, what was the value when it was purchased?
JKL and RST are shown below. Which of the following statements is true? Look at picture.
Answer:
Triangle JLK congruent to Triangle RTS is the only true statement
Step-by-step explanation:
AngleJKL is not corresponding to AngleRTS because AngleRTS is a right angle and AngleJKL is not.
The triangles are congruent by HL because one leg and the hypotenuse are congruent.
Triangle congruence can be determined so the third statement is incorrect.
TR is not congruent to KJ. TR=3.7 and KJ=4.5
Find the missing side length using the Pythagorean Theorem.
a²+6² = ²
The missing length is 18
Using Pythagorean rule
Hyp^2 = Opp^2 + adj^2
Opp^2 = hyp^2 - adj^2
Opp^2 = 30^2 - 24^2
Opp^2 = 900 - 576
Opp^2 = 324
Opp = sqrt ( 324 )
Opp = 18
what is the total number of unique triangles that can be made with the side lengths of 4cm, 5cm, and 10cm can be drawn? PLS HELP I WILL MARK BRAINLIEST
Answer:
One
Step-by-step explanation:
First, we need to check a triangle with these sides is possible. Since 4 plus 5 is 9, and 9 is less than 10, we can make a triangle with these sides.
To answer the question, we can only make one unique triangle. Why? They give us three lengths and a triangle has three sides.
However, if they are counting a triangle in different positions the answer will be greater. Since it would just be the same triangle, I am going with the answer of only one.
Which expression is equivalent to 8(a+3)
Answer:
8a + 24
Step-by-step explanation:
Use Distributive property: a(b +c) = a*b + a*c
Here a = 8 ; b= a & c = 3
8(a + 3) = 8*a + 8*3
= 8a + 24
Lyle creates a peach dye by mixing 8 ounces of white dye with 5 ounces of orange dye. He wants to know how much orange dye he needs to use if he needs a total of 195 ounces of peach dye.
Answer: 121.875 ounces of orange dye
Step-by-step explanation: 8 ÷ 195 = 24.375
24.375 x 5 = 121.875
Can you find the missing side lengths?
Answer:
I may be wrong but I think the missing side is 7.
Step-by-step explanation:
because 40 minus 8 is 32 so I did 15 minus 8 and got 7
The measure of an angle is 107.4 what is the measure of its supplemental angle ?
Answer:
72.6
Step-by-step explanation:
180-107.4 = 72.6
help I'm confused like always
Answer:
negative
Step-by-step explanation:
The good part about this question is you don't have to know the actual values of b or c, otherwise, I would be stumped too.
Given:
b is within 0 -> 1 b is positive
c is within -1 -> -2, c is negative
[tex]\frac{b}{c}[/tex] = b/c. When you have a fraction and one numerator is positive while the denominator is negative (or visa-versa, numerator is negative and denominator is positive), then the answer will ALWAYS be negative
so +b/-c = negative result