A guy wire is attached to an upright pole 6 meters above the ground. If the wire is anchored to the ground 5 meters from the base of the pole 7.81 m long is the wire. This can be solved by using the concept of Pythagoras theorem.
What is Pythagoras theorem?The widely accepted geometric principle known as the Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs (the side opposite the right angle).
The hypotenuse side of a right-angled triangle's square is equal to the sum of its other two sides, according to Pythagoras' Theorem. The perpendicular, base, and hypotenuse of this triangle are its three designated sides.
Let, assume ΔABC is a right-angled triangle
where, AC = 6m be the pole.
AB = 5m is the length of a guy wire and is attached to stake B
By Pythagoras theorem,
BC² = AB² + AC²
or, BC² = (5)² + (6)²
or, BC² = 36 + 25
or, BC = √61 m
or, BC = 7.81 m
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help! what is the missing length?
Answer:
Hello! answer: 30
Step-by-step explanation:
32 × 30 = 960 HOPE THAT HELPS!
Select the interval where f is negative.
Answer: A
Step-by-step explanation:
Based on the graph, we know that it is negative if it is under the x-axis. It is also indicated by the negative labels.
A: correct
Looking at choice A, it says the interval is from -4<x<-2. This means we have to find x=-4 and x=-2. On the graph, that interval is below the x-axis, so it is negative.
B: incorrect
Looking at choice B, it says the interval is from -1<x<1. This means we have to find x=-1 and x=1. On the graph, that interval is above the x-axis, so it is positive, not negative.
C: incorrect
Looking at choice C, it says the interval is from 2<x<4. This means we have to find x=2 and x=4. On the graph, that interval is above the x-axis, so it is positive, not negative.
Therefore, A is the correct answer.
Can someone please help me with these pleaseeeee
If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the largest percentage of their gross pay in employee benefits?
Answer: the answer is the option
Employee B: gross pay $32,900, total job benefits $34,000
hope this helped you
can some one please help me please
Answer:
D. Last one
Step-by-step explanation:
the 5 and the 3 in the parenthesis is the price for the large toy car while being added to the price of the small toy car outside the parenthesis equaling to the total price
Answer:
C , THE THIRD ONE
$18.00
Step-by-step explanation:
5×3=15
$3+$15=$18
Is Avogadro's number equal to one mole?
One mole consists of 6.02214076×10²³ units which is Avogadro's number. Thus one mole is known as Avogadro's number.
What is one mole?
A mole is 6.02214076×10²³ of any chemical unit, including atoms, molecules, ions, and others. Due to the large number of atoms, molecules, or other components that make up any substance, the mole is a useful measure to utilize. The mole was initially defined as the quantity of atoms contained in 12 grammes of carbon-12, but the General Conference on Weights and Measures declared in 2018 that the mole will only contain 6.02214076×10²³ of some chemical unit as of May 20, 2019.
In chemistry, a mole, sometimes spelled mol, is a common scientific measurement unit for significant amounts of very small objects like atoms, molecules, or other predetermined particles.
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Sugar cookies make up 38% of all sales for a local baker's cookie sales. If the baker sold 133 sugar cookies, how many total cookies did the baker sell?
The total number of cookies baker sold in all are 350 cookies.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, sugar cookies make up 38% of all sales for a local baker's cookie sales.
Let the total number of cookies be x.
Now, 38% of x=133
38/100 ×x=133
x=13300/38
x=350
Therefore, the total number of cookies baker sold in all are 350 cookies.
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Algebra: PLEASES QUICK DUE SOON!!!
In Completing the Square problems, what formula do you use to find c?
Answer:
Solve the equation
x2−(3+1)x+3=0
by the method of completing the square. i dont know if its right
Step-by-step explanation:
What is the volume of this Rectangular Prism?
PLEASE HELP ILL MARK BRAINLIEST!!!
Four points are drawn on the coordinate plane and connected with straight lines to form a rectangle. Three of the
vertices of the rectangle are located at (2, 1), (2,4), and (-4,4).
a. What are the coordinates of the fourth vertex of the rectangle?
b. What are the dimensions of the rectangle?
c. What is the area of the rectangle?
Answer:
Step-by-step explanation:
the two diagonals of a rectangle have the same middle point
middle point
x = (2-4)/2 = -1
y = (1+4)/2 = 5/2
The diagonal BD must have the same middle point, so we can find vertex D in this way
(x +2)/2 = -1
x+2 = -2
x = -4
(y+4)/2 = 5/2
y+4 = 5
y = 1
fourth vertex : (-4, 1)
2) for find the first dimension we can use this formula
|y2 - y1| = |4-1| = 3
for find the second we can use this one:
|x2-x1| = |-4-2| = |-6| = 6 (a dimension can’t be negative)
3)
A = dimension 1 x dimension 2 = 3 x 6 = 18
Answer:they for it right
Step-by-step explanation:
....
Please help!!! This is WAY overdue and I need to submit it by tonight or it won't be accepted!!!!
Answer:
D
Step-by-step explanation:
It's the most logical of them all, it can't be A, it wouldn't make sense if it's C, and for D it says 6 if -5<x<-1 and it has the little line on 6 for y, it sounds a little complicated but that's my logic
I need help with this geometry!
Answer:
[tex]7.8(sin23^o)[/tex]
Step-by-step explanation:
[tex]Sin23=\frac{opp}{hyp}[/tex]
[tex]Sin23=\frac{BC}{7.8}[/tex]
[tex]0.3907=\frac{BC}{7.8}[/tex]
[tex]BC=3.04746[/tex]
----------------------
hope it helps...
have a great day!!
The linear function F is defined as f(x) = -2x + 3. Consider the graph of y = f(x) in the xy-Plane.
If the function g(x) = f (x) + k, where k = 2, describe the changes to the slope and y-intercept of this transformation.
The changes to the slope and to the intercept of the linear function after the transformation g(x) = f(x) + k, in which k = 2, are given as follows:
The slope remains constant.The intercept is increased by two.What is the definition of a linear function?The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the slope.b is the y-intercept.The function f(x) in this problem is given as follows:
f(x) = -2x + 3.
Meaning that it has a slope of -2 and and intercept of 3.
The function g(x) is defined as follows:
g(x) = f(x) + k.
Since k = 2, we have that:
g(x) = f(x) + 2
g(x) = -2x + 3 + 2
g(x) = -2x + 5.
Hence the slope and the intercept are given as follows:
Slope of -2, which is the same as f(x).Intercept of 5, which is an increase of 2 compared to the intercept of f(x).More can be learned about linear functions at https://brainly.com/question/24808124
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Shondra borrowed $200 for the books she needed for her second semester of college. The finance charge on the loan was $12, and the term of the loan was 21 days. What was the APR of Shondra's loan?
Answer:
the Annual percentage rate of shondra loan is 104.28%
Step-by-step explanation:
Given that
The borrowed amount is $200
The finance charge is $12
And, the term of the loan is 21 days
We need to find out the APR of the loan
so,
= (($12 ÷ $200) × 365) ÷ 21 × 100
= 104.28%
hence, the Annual percentage rate of shondra loan is 104.28%
Maksim was asked on a test "What is the domain of the function: f(x) = √(x - 2)? Explain." Maksim responded with "The function f(x) = √(x - 2) has a domain of all real numbers because any number can be put in for x." Explain if Maksim's answer and explanation were correct. Make sure to use at least two pieces of evidence to support your claim. If he is wrong, state the actual domain.
Answer:
Maksim's answer and explanation are not correct
The actual domain is 2 < x < Infinity
Step-by-step explanation:
The domain of a function is the set that is made up of the possible inputs of the function
The given function is f(x) = √(x - 2)
Maksim's response for the domain of f(x) is x ∈ R ('x' is a member of the set of all real numbers
The function is not defined when x < 2, at which the expression, x - 2, will become negative, and for which the square root of the negative number is imaginary
Therefore, the domain for which the function is defined is all real numbers larger than 2, which can be presented as follows;
The domain of f(x) = 2 < x < ∞
Therefore Maksim is wrong as the actual domain is limited to 2 < x < ∞.
What is m
A- 28
B- 31
C- 62
D- 90
E- 118
Answer:
D. 90
Step-by-step explanation:
If a triangle is inscribed inside of a circle, using the diameter as the hypotenuse, then the opposite angle of the hypotenuse is equal to 90 °
Because ΔABC is inscribed inside of the circle using the diameter it is a right triangle.
∠ABC is the angle opposite of the diameter therefore ∠ABC = 90°
17) Marlo has $250 on her iTunes card. She pays $5
for every game that she downloads. Write an
inequality that you could use to determine how many
games she could download if she wants to have
more than $125 left on her iTunes card.
Inequality:
Solve your inequality from Part A. How many games
could she download?
Answer:
this is the way id do this.
Step-by-step explanation:
250-125=125
125/5=x (the number of games)
x=25
or
250-125/5x
Answer:
25 games
Step-by-step explanation:
250-125=125
125÷5=25
028)
the cost to insure jewellery is a fixed amount plus a percentage of the value of the jewellery. it costs 32$ to insure 1000$ worth of jewellery or 44.5$ to insure 3500$ worth of jewellry.what is the fixed amount to insure jewellery?
i wrote jewellery so much it isnt a word anymore send help ( explanatio ) asap!
Answer:
The fixed cost to insure jewellery is $0.602.
Step-by-step explanation:
We can use the information provided to set up a system of two equations in two variables, and then use the system to solve for the fixed cost of insuring the jewellery. Let x be the fixed cost and y be the percentage of the value of the jewellery. Then we can write the following two equations:
1000x + 1000y = 32 (1) (cost equation for insuring $1000 worth of jewellery)
3500x + 3500y = 44.5 (2) (cost equation for insuring $3500 worth of jewellery)
We can use either of these equation to solve for the fixed cost(x), to do that we can first solve for y from either of the equation, and then substitute it in other equation.
From equation (1)
y = (32 - 1000x) / 1000
then substitute this in equation (2)
3500x + 3500((32-1000x) / 1000) = 44.5
3500x + 32 - 3500x =44.5 - (1000x)
-20x = -12.05
x = 0.602 $
So, the fixed cost to insure jewellery is $0.602.
That means you have to pay $0.602 as a fixed cost, in addition to 0.01(y) as a percentage of the value of jewellery to insure it.
3y2 + 4ab + 7y2 + ab
Answer:
Combine like terms:
10y2 + 5ab
Step-by-step explanation:
Is your simplified algebraic expression.
The total number of books sold from 2010-2015 from
Amazon can be modeled by the function
3
2
f(x) = 40x + 8x + 14824x + 33000and the number of kinds
of books at Amazon from that same time period can be modeled
as g(x): =
10x + 22, where x is the number of years since
2010. What is the average number of each kind of book
Amazon sold?
Answer:
If you want to find out how many print copies the book is selling, just click the Paperback or Hardcover edition of the book on Amazon, scroll down to Product Details on that page, and find the Amazon Best Sellers Rank for the print edition.
Step-by-step explanation:
Se seleccionan un grupo de datos de 120 personas donde 40 tienen una estatura promedio de 1.70 y 50 tienen una estatura de 1.68 y 10 están entre las dos estaturas: encuentre la probabilidad de los faltantes estén en las estaturas.
what are u saying ????????/?
i can't read spanish
From a group of 5 counselors and 8 teachers, 3 counselors and 2 teachers will be selected to attend a conference. In how many ways can the selection be made?
A.
38
B.
3360
C.
280
D.
240
A group consisting of 14 aggressive zombies quadruples in size every hour. Which equation matches the number of zombies after 6 hours?
The exponential equation that matches the number of zombies after 6 hours is the possible option;
Z = 14 × 4⁶
What is an exponential equation?An exponential equation is one in which the argument is an index or power of a constant.
The initial number in the group of zombies = 14
The amount by which the group increases every hour = The group quadruples every hour
The required equation; The equation that matches the number of zombies after 6 hours
The information in the question indicates that the sequence is a exponential, which can be presented using the following equation;
Z = a·rⁿ
Where;
Z = The number of zombies after n hours
a = The first term = The initial number of zombies in the group = 14
r = The common ratio = The amount that multiplies members of the group every hour = 4
n = The number of hours after which the number in the group is evaluated
Therefore, after 6 hours, n = 6, and we get;
a₆ = 14 × 4⁶ = 14 × 4⁵ = 14336
The equation from the possible options, obtained from a similar question posted online, that matches the number of zombies after 6 hours is therefore;
Z = 14 × 4⁶
The possible options are;
Z = 4·(14)⁶
Z = 4·(1 + 14)⁶
Z = 14·(1 + 4)⁶
Z = 14·(4)⁶
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What is an equivalent expression example?
A given set of expressions are known as equivalent expression if and only if the result after evaluating those expression is the same number.
Example,
3 + 2 = 5
4 + 1 = 5
5 + 0 = 5
These three are equivalent as because the sum of all of them is same , i.e., 5.
An equivalent expression is an expression which consists of variables, coefficients, constants, and mathematical functions such as addition, subtraction, multiplication, and division.
In general, if two objects are identical, they are then called as identical.
These expressions are also known as duplicates of each other though they look different but they are same.
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Pls help this is math work
Answer:
∠ R = 35° , ∠ T = 45°
Step-by-step explanation:
since the triangles are similar then corresponding angles are congruent, so
∠ R = ∠ U = 35°
∠ T = ∠ Q = 45°
please help me again thank you
Answer:
The answer is 28.26 hope that helps
S2 Alg I Unit 3B Common Unit Assessment (MC&CR) / 5 of 11
If (x - 3)2 = 5, what vakies of x make the quadratic equation TRUE?
O A. 3+5
ОВ.
+
3
O C. -5+3
O D. -3 + 5
Can anybody help get me 6 more brainliest please I’ll do anything
Answer:
Brainliest this first then I will help you
Step-by-step explanation:
Answer:
ok
Step-by-step explanation:shheshh
(2×/×+3)- (×/×-3)=(3÷3-×)
Answer:
x = 6
Step-by-step explanation:
(2×/×+3)- (×/×-3)=(3÷3-×)
2x/x+3-x/x+3= 1-x
2 + 3 - 1 + 3 - 1 = x
8-2 = x
x = 6
NEED HELP ASAP DUE SOON!!!! This scatter plot shows the relationship between the amount of time, in hours, spent working on an essay and the grade, as a percent, earned.
Enter the approximate slope of the estimated line of best fit.
Answer:
5 % per hour
Step-by-step explanation:
Pick two of the grid points the line seems to go through. I'm using (0, 50) and (4, 70).
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{70-50}{4-0}=\frac{20}{4}=5[/tex]