Answer:
B is the perfect square
Step-by-step explanation:
A rope is fixed between two trees that are 10 metres apart. When a child hangs on to the centre of the rope, it sags so that the centre is 2 metres below the level of the ends. Find the lenth of the rope.
The length of the rope is 2√29 meters.
What is an isosceles triangle?
An isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.
Given that the distance between two trees is 2 meters. A boy hangs on a rope tied to the trees in the middle of the rope.
it sags so that the center is 2 meters below the level of the ends.
Thus it forms an isosceles triangle. △ACD and △BCD are two right triangles.
Since △ABD is isosceles triangle and AD = BD.
In △ACD, Hypotenouse = AD, Base = AC = 10/2 = 5 cm, Height = CD = 2 meters
Apply Pythagorean theorem on △ACD:
AD² = AC² + CD²
AD² = 5² + 2²
AD² = 29
AD = √29
Therefore, BD = √29
The length of the rope is AD + BD = 2√29 meters.
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PLEASEE HELP PICTURE ATTACHED
if m/P = (12x + 7);, m Q = (6x - 7), and LP
and /Q are complementary angles, find m /Q.
On solving the provided question, we can say that - the valuye os the complementary angle is 83.0000000004.
what is complementary angles?When two angles add up to 90 degrees, they are said to be complimentary. When two angles add up to 180 degrees, they are said to be subservient. . When the sum of two angles equals 90 degrees, they are called complementary angles. For example, 30 and 60 degrees are supplementary angles. A supplementary angle is two angles that add up to 180 degrees, and a supplementary angle is two angles that add up to 90 degrees. of 30 and 60 degrees are supplementary. A supplementary angle is two angles combined to make a 180 degree angle, while a supplemental angle is two angles combined to make a 90 degree angle. Two angles are referred to as complimentary if their total is 90 degrees. Alternatively said, a right angle is created by the complementary angles (90 degrees).
here we have
(12x + 7) = 90
12x = 83
x= 6.9166666667
12x = 83.0000000004
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Please Help!
I need this for an important Test
You will be deeply appreciated
What are 3 completed examples for functions?
How can you differentiate best time worst time and average time of an algorithm?
You can differentiate best time, worst time and average time of an algorithm like this:
Best time = fastest completion time with optimal inputs.
Worst time = slowest completion time, with pessimistic inputs.
Average time = arithmetic mean
What is Average case?The average-case complexity of an algorithm is the amount of a computational resource (typically time) used by the algorithm, averaged over all potential inputs, according to computational complexity theory. The worst-case complexity, which takes into account the algorithm's maximum complexity given all potential inputs, is frequently contrasted with it.
There are three main reasons to investigate average-case complexity. First off, while some problems may be insurmountable in the worst case, the inputs that cause this behaviour may only occasionally occur in practise, so the average-case complexity may be a better indicator of an algorithm's performance.
Second, tools and techniques to create challenging problems are provided by average-case complexity analysis. These tools and techniques can be used in fields like derandomization and cryptography.
Third, average-case complexity enables the most effective algorithm in practise to be distinguished from algorithms with equivalent best case complexity.
What is average case complexity
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How do you find the sides of a 45 45 90 triangle when given the hypotenuse?
The value of the legs of the triangle would be hypotenuse/√2 and trignometric angle are 45 degree
You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).
That is perpendicular=hypotenuse/√2
Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)
That is base=hypotenuse/√2
Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.
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How to do log2 in Excel?
The syntax for using BASE in Excel is "=LN(number,base)" where "number" is the number for which you want to calculate the logarithm and "base" is the base to which the logarithm should be calculated.
For example, if you want to calculate the logarithm of 10 to the base 2, you would use the formula "=LN(10,2)".
The idea is to express the given integer (20) in terms of either the base or the values given (3 and 5).
Next, since we have the multiplication sign, we use the addition law:
The power of the number becomes the product of the log, so we have:
When you have the same base and number, the result is always 1.
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work out the size of angle x
Answer:
[tex]13^{\circ}[/tex]
Step-by-step explanation:
Consider the smaller of the two triangles with angle [tex]x[/tex].
Using vertically opposite angles, one of the angles of this triangle is [tex]85^{\circ}[/tex].
Using corresponding angles combined with angles on a straight line, one of the angles is [tex]82^{\circ}[/tex].
Angles in a triangle add to [tex]180^{\circ}[/tex], so [tex]x=13[/tex].
Solve for D
D^3=27
Enter your answer in the box [____]
No links please!!
Step-by-step explanation:
[tex]D {}^{3} = 27 \\ D = {27}^{ \frac{1}{3} } \\ D = 3[/tex]
Help!?!?!?!??!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Answer d) looks good
D. [tex] \frac{21 \: b}{10} - 48[/tex] ✅
Step-by-step explanation:
[tex] - 6( \frac{1}{4} b+ 10) + 4( \frac{9}{10}b + 3) \\ = \frac{ - 6 \: b}{4} - 60 + \frac{36 \: b}{10} + 12 \\ = \frac{ - 3 \: b}{2} + \frac{18 \: b}{5} - 60 + 12 \\ = \frac{ - 3 \: b \times 5}{2 \times 5} + \frac{18 \: b \times 2}{5 \times 2} - 48 \\ = \frac{ - 15 \: b + 36 \: b}{10} - 48 \\ = \frac{21 \: b}{10} - 48[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
p(d+z)=2z+3 solve for d
Answer:
D= 2z/p + 3/p = -z
Step-by-step explanation:
21 divided 2 1/10 x 2 divided 10
I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3gVQKw3
Answer:
equals to 2. //spam.so i can post. the answer smzmsmsmsmssssksjdjdj
PLEASE PLEASE PLEASE HELP ME THIS QUESTION
PLEASE
ILL GIVE BRAINLIEST IF ITS RIGHT
Answer:
142 degrees
Step-by-step explanation:
d-c is 90 degree angle so you add that to the 52 degree
What are the two types of angles?
The two types of Angles of the triangle are Acute Angle ( angle that are less than 90 degree) and Obtuse Angle ( angle between 90 and 180 degree ).
What are Angles ?
The Angle is defined as the geometrical shape that is constructed by joining two rays to each other at their end points.
The two types of angles of the triangle are Acute Angle and Obtuse Angle :
(i) Acute Angle :
An angle can be called as Acute if the measure of the angle is less than 90 degree .
(ii) Obtuse Angle :
an angle can be called as Obtuse if the measurement of the angle is greater than 90 degree and less than 180 degree .
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15 points, see attachment
Answer: HG = CD.
Step-by-step explanation: If you tilt the second triangle so it's flat like the first triangle, you can see that HG is equal to CD.
3. Geese and Pigs: A farmer raises only geese and pigs. She wants to raise no more than
16 animals total including no more than 10 geese. She spends $5 to raise a goose and $15 to raise a pig, and has $180 available for this project. Find the maximum profit she can make if each goose produces a profit of $6 and each pig a profit of $20.
The maximum profit she can make if each goose produces a profit of $6 and each pig a profit of $20.
How can you determine the table's maximum profit?Making the Most of Total Revenue and Total Cost Data. Just multiply the price by the quantity at each quantity to find the company's total revenue. Next, deduct the company's total cost at each quantity, which is provided in the table.
Let the number of geese be x and the number of pigs be y
From the given information, we can form the following inequalities:
x ≤ 10
y ≥ 05
x + 15y ≤ 180
Maximize 6x + 20y.
We want to find the intersection points of the first three equations since x and y are bounded within the area under these
These points are (0,0), ( 10,0), (0,12), (10,65/3).
At (0,0) , the profit is $0
At ( 10,0), the profit is $60
At (0,12) , the profit is $240
At (10,65/3) , the profit is $499.33
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•50 POINTS• don’t explain
-A
-B
-C
Answer:
C. Neither------------------------------------
There is no indication that the given triangles are congruent.
We can see one angle of each triangle is marked as congruent and that is is. No more evidences of congruence and therefore we state the triangles are not congruent.
This is a choice C.
1/3x-2 × 9x²-4/3x²-13x-10 - 7/x-1
Answer:
Step-by-step explanation:
Combine multiplied terms into a single fraction
one-third x minus 2 ⋅ 9 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1
1 x over 3 end fraction minus 2 ⋅ 9 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1
Multiply by 1
1 x over 3 end fraction minus 2 ⋅ 9 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1
x over 3 end fraction minus 2 ⋅ 9 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1
Multiply the numbers
x over 3 end fraction negative 2 ⋅ 9 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1
x over 3 end fraction negative 18 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1
What is the inverse of f(x) = -6(x-2)?
please help <3
Answer:
The answer is number 2. f^-1(x)= 2- x/6
Step-by-step explanation:
Just is
answer pls thank you
Answer:
no cheating on a iready test if you do this you wont get answers good for you dont skip the starting thing this is for your own good try doing it
Step-by-step explanation:
Need help with math triangle question in image. Thank you
Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. 18 x minus 15 = 72 50 x minus 25 = 72 18 x minus 9 = 72 3 (6 x minus 3) = 72 x = 4.5
18x - 9 = 72 and x = 4.5 represents the same value as 3/5(30x - 15) =72.
What is equation?Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”. For example, 2x – 5 = 13.
Here,
2x – 5 and 13 are expressions
The sign that connects these two expressions is “=”.
Given
x = 4.5
And equation
3/5(30x - 15) =72
Simplifying
90x/5 - 45/5 = 72
18x - 9 = 72 -----------(a)
18x = 81
x = 81/18
x = 4.5 ------------(b)
Equation (a) and (b) are among the equations given in the options.
Hence, from the above calculation equations 18x - 9 = 72 and x = 4.5 express the same value of x as 3/5(30x - 15) =72 .
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Steve wants to open a savings account. Bank A will increase the interest rate on the savings account by
1/5% after the first year he is a customer. Bank B offers an interest rate increase of 0.25% after the first year he is a customer. Which bank has the higher interest rate increase? Explain how you were able to compare the rates. i need help asap please help
Answer:
Bank A
Step-by-step explanation:
Get them wrong then push try agian and remember it hope it helps?
thats my trick sometimes!
Given: 2x−43=2
Prove: x = 5
Select from the drop-down menus to correctly complete the proof.
Statement Reason
2x−43=2 Given
2x−4=6
Choose...
2x = 10
Choose...
x = 5
Therefore , the solution of he given problem of linear equation comes out to be x = 5.
A linear equation is defined.A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
Given : 2x-4=6
To prove x =5
Thus,
We have to find the value of x
=> 2x =10
=> x =10/2
=> x =5
Therefore , the solution of he given problem of linear equation comes out to be x = 5.
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The ratio of black walnut to red oak trees at a tree farm is 4:5. The tree farm
has 1200 black walnut trees. How many black walnut and red oak trees does
the tree farm have altogether?
Answer:
2700
Step-by-step explanation:
1200/4 = 300
300×5 =1500
1200+1500 = 2700
please assist with helping in the image below!!
Which expression is equivalent to (-3) × (-3)²?
Answer:
[tex] \sf \: (-3) × {( - 3)}^{2} = - 27[/tex]
Step-by-step explanation:
Given expression,
→ (-3) × (-3)²
Let's simplify the expression,
→ (-3) × (-3)²
→ (-3) × ((-3) × (-3))
→ (-3) × 9
→ (-3 × 9) = -27
Hence, the answer is -27.
find the value of x .
9514 1404 393
Answer:
x = (23 1/3)°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
40° +2x +4x = 180°
6x = 140° . . . . . . . . . . . subtract 40°
x = 140°/6 = (23 1/3)° . . . . divide by the coefficient of x
_____
This makes the angles be 40°, 46.67°, and 93.33° (rounded to hundredths).
What must be added to the polynomial 2x³ 3x² 8x so that it leaves a remainder 10 when divided by 2x 1?
To find the remainder 10 when dividing 2x³ 3x² 8x by 2x 1, the polynomial must be augmented with -12.
What is polynomial?A polynomial is an expression that consists of variables, exponents, and coefficients. It is a mathematical function composed of two or more terms, each of which is a number or a variable multiplied by an exponent. It can be used to represent a variety of relationships in mathematics, including equations, linear functions, quadratic functions, and more.
Therefore, the polynomial that will leave a remainder 10 when divided by 2x 1 is 2x³ 3x² 8x -12.
This is because if we divide the polynomial by 2x 1, the remainder will be the last term of the resulting polynomial, which is -12.
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What is translation in coordinate geometry?
In the coordinate geometry the translation represents one type of transformation to change the location without changing the shape, size.
As given in the question,
In the coordinate geometry,
The translation is one type of transformation.Translation represent the change in the location of the given geometrical figure in the coordinate plane.No change in the shape and size of the geometrical figure.Change in the location vertical and horizontal direction.Right and left direction represents the horizontal direction.Up and down represents the vertical direction.Therefore, in the coordinate geometry the translation represents one type of transformation to change the location of the geometrical figure.
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