Answers
Step-by-step explanation:
The diagram resembles a right angled triangle,
So, By Pythagoras theorem,
(11)²=(4)²+x²
= 121=16+x²
= 121-16=x²
= 105=x²
= root105 =x
Related Questions
If 20% of a number is 12, then what is 30% of the same number
Answers
Answer:
18
Step-by-step explanation:
0.2x = 12
Same as: 1/5x = 12
Multiply both sides by 5
x = 60
0.3 * 60 = 18
Mr. Brady is using a coordinate plane to design a treasure hunt for his students. The hunt begins at the flagpole. The first clue is hidden 5 units north of the flagpole. The second clue is located 6 units east of the flagpole. Clue 2 says that Clue 3 is located 5 units south of the flagpole. N -4 -2 o N 4 6 X -2 -4 Plot the locations of the flagpole and the 3 clues on the coordinate grid and show the path students will follow with straight lines. Each unit represents 50 feet. What is the shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 to Clue 3? Round to the nearest foot if necessary.
Answers
Answer:
The figure is attached and the total distance is 1031 feet.
Step-by-step explanation:
The graph is indicated in the attached figure.
For calculation of distance consider following
Point Flagpole is (0,0)
Point Clue1 is (0,5)
Point Clue2 is (6,0)
Point Clue3 is (0,-5)
So the distance is calculated as follows
[tex]d_{T}=[d_{FP\ to\ Clue1}+d_{Clue1\ to\ Clue2}+d_{Clue2\ to\ Clue3}]*distance\ per\ unit\\d_{T}=[\sqrt{(Clue1_x-FP_x)^2+(Clue1_y-FP_y)^2}+\sqrt{(Clue2_x-Clue1_x)^2+(Clue2_y-Clue1_y)^2}+\sqrt{(Clue3_x-Clue2_x)^2+(Clue3_y-Clue2_y)^2}]**distance\ per\ unit\\[/tex]Substituting the values
[tex]d_{T}=[\sqrt{(0-0)^2+(5-0)^2}+\sqrt{(6-0)^2+(0-5)^2}+\sqrt{(0-6)^2+(-5-0)^2}]*50 \text{ feet}\\d_{T}=[\sqrt{(0)^2+(5)^2}+\sqrt{(6)^2+(-5)^2}+\sqrt{(-6)^2+(-5)^2}]*50 \text{ feet}\\d_{T}=[\sqrt{0+25}+\sqrt{36+25}+\sqrt{36+25}]*50 \text{ feet}\\d_{T}=[\sqrt{25}+\sqrt{61}+\sqrt{61}]*50 \text{ feet}\\d_{T}=[5+7.81+7.81]*50 \text{ feet}\\d_{T}=[20.62]*50 \text{ feet}\\d_{T}=1031 \text{ feet}\\[/tex]
So the total distance travelled is 1031 feet.
easton is paid $418.96 weekly. what is his average monthly net, or take-home pay?
Answers
Answer:
293.27
Step-by-step explanation:
418.96 x .7 = 293.27
7x+1=3x+9 basic equations
Answers
Answer:
= 2
Step-by-step explanation:
Answer:27
Step-by-step explanation:
What is the sum of one sixth and thrice of n
Answers
Answer:
9
Step-by-step explanation:
6+3 is 9
Answer:
what do you mean by thrice of n?
Step-by-step explanation:
Wouldn't we need to know what n equals?
Which expression has a value located to the right of 1 on the number line?
a) -1 - 7
b ) 1 - 7
c) - 7 - 1
d) 7 + 1
Answers
square root 3 minus X Minus x squared is equals to x - 2
Answers
Step-by-step explanation:
I hope it helps I was just trying. if I'm wrong you can tell me I I will ask the people who are around me. wish you all the best.
Given the first three terms of Geometric Sequence: 2b+2, b+4, b, where each of the tem is
positive, find
1) the value of b. (8)
ii) the first term and common ratio. (18,2/3)
(2009)
Answers
Answer:
1. b = 8
2. First term (T₁) = 18
Common ratio (r) = 2/3
Step-by-step explanation:
1. Determination of the value of b.
2b+2, b+4, b
First term (T₁) = 2b + 2
2nd term (T₂) = b + 4
3rd term (T₃) = b
The value of b can be obtained as follow:
Common ratio = T₂/T₁ = T₃/T₂
T₂/T₁ = T₃/T₂
(b + 4)/(2b + 2) = b/(b + 4)
Cross multiply
(b + 4)(b + 4) = b(2b + 2)
Expand
b(b + 4) + 4(b + 4) = b(2b + 2)
b² + 4b + 4b + 16 = 2b² + 2b
b² + 8b + 16 = 2b² + 2b
Rearrange
2b² – b² + 2b – 8b – 16 = 0
b² – 6b – 16 = 0
Solving by factorisation
b² – 8b + 2b – 16 = 0
b(b – 8) + 2(b – 8) = 0
(b – 8)(b + 2) = 0
b – 8 = 0 or b + 2 = 0
b = 8 or b = –2
Since each of the terms are positive, therefore, b is 8.
2. Determination of the first term and common ratio.
2b+2, b+4, b
First term (T₁) = 2b + 2
b = 8
First term (T₁) = 2(8) + 2
First term (T₁) = 16 + 2
First term (T₁) = 18
2nd term (T₂) = b + 4
b = 8
2nd term (T₂) = 8 + 4
2nd term (T₂) = 12
Common ratio (r) = T₂/T₁
First term (T₁) = 18
2nd term (T₂) = 12
Common ratio (r) = 12/18
Common ratio (r) = 2/3
What is the quotient of m and 11
Answers
The four members of the Taylor family each buy an airplane ticket each member I had to pay an extra $30 fee for checking in luggage if the total cost of the trip is 540.50 what is the price of each plane ticket
Answers
Answer:
$105.13
Step-by-step explanation:
[540.50 - (4 x 30)]/4 = $105.125
Simplify it and please show work
Answers
1+15=16
(-6)-(-17)=-11
5-14=-9
just remember when ur subtracting a number from a bigger number, it becomes negative
and two negatives equal a positive
1) 16
2) -6 -(-17) = -6 +17= 11
3) 19 -(-2) = 19 + 2 = 21
4) -13 + 20 = 7
5) -22
6) -9
7) -19
8) -6
9) -17
10) -20
11) -15 -(-10) = -15 + 10 = -5
12) -1
13) 30
14) 11 -(-9) = 11 + 9 = 20
15) 16
16) -21
hi, I need to send you a screenshot
Answers
which equation has the solutions x equals 1 plus or minus the square root of 5
Answers
Answer:
d. x2 – 2x – 4 = 0
Step-by-step explanation:
Find the y-intercept and the axis of symmetry of:
f(x) = ax^2 + 8ax - 5
Answers
Answer:
y-intercept (0,-5) and AOS x = -4
Step-by-step explanation:
To find the y-int make x = 0 so f(0) = -5
The axis of symmetry (AOS) can be found by the equation x = -b/2a
So AOS = -8a / 2a, so AOS = -4 since b=8a and a = a
Question 3 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
Answers
The equation of the line passing through two points (0, 0) and (4, -2) is y = -x/2
What is an equation of the line?The general equation of a line in two variables of the first degree is represented as Ax + By +C = 0, A, B ≠ 0 where A, B and C are constants which belong to real numbers.
Given is a line passing through two points (0, 0) and (4, -2), we need to find the equation of the line,
We know that the equation of the line, passing through two points (x₁, y₁) and (x₂, y₂), is given by:
y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)
Here, (x₁, y₁) and (x₂, y₂) are (0, 0) and (4, -2), putting the values to finding the equation,
y-0 = -2-0 / 4-0 (x-0)
y = -1/2(x)
y = -x/2
Hence, the equation of the line passing through two points (0, 0) and (4, -2) is y = -x/2
Learn more about equation of the line, click;
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pls help i dont have much time whoever answers correctly ill mark brainliest
What is the area of the trapezoid shown below?
Answers
Answer:
114 it think but maybe not
Step-by-step explanation:
a
Explanation: Bottom of triangle is 9. Use area of triangle formula to find area of triangle (54). Find area of rectangle (24). Add.
HELP PLEAse?
Classify the triangle by its sides and angles.
-acute, scalene
-obtuse, scalene.
-acute, equilateral
-obtuse, equilateral
Answers
Answer:
acute, equilateral
Step-by-step explanation:
Answer:
Acute, equilateral
Step-by-step explanation:
Angle of 60 is acute and it is an equilateral triangle.
The length, 1, of a wheelchair ramp is 3 more than 11
width, w. Which equation represents the relationship between
the length and the width of the ramp?
Answers
Answer: the length is 8
Step-by-step explanation: Because 11 minus 8 is 3
Which is the cost of the minimum spanning tree of the weighted graph using Kruskal's Algorithm?
28
30
31
40
Answers
answer:
i believe 28
Step-by-step explanation:
Given that n is an integer and 0 < 4n <30, what is the sum of all possible integer values of n
Answers
n can be all the way upto 7 as 8 x4 = 32 which is higher than 30. The lowest possible diggit is 1.
n = 1, 2, 3, 4, 5, 6, 7
1 + 2 + 3 + 4 + 5 + 6 + 7 = 28
⭐ Answered by Foxzy0⭐
⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
I need the answer to
Answers
Answer:
I think its B
Hope this helps
9, 14, 12,17,15, 20,18
what is the rule for the following pattern?
Answers
Mrs. Crosland asked students to factor the expression 28x - 8. The students offered the answers shown in the box. Which student(s) offered answer(s) equivalent to the original expression? A. only Danny B. only Irene C. both Carlos and Danny D. both Carlos and Irene
Answers
Answer:
Step-by-step explanation:
I can't see the factorisation that the students did. That is, Danny, Carlos and Irene. You either forgot to upload, or you couldn't.
However, I will factorise the expression for you, while you check you book to know who did the exact same factorisation.
28x - 8
This equation can be factorised when divided by 2, into
2(14x - 4)
At the same time, it can be factorised when divided by 4, into
4(7x - 2)
Basically, either of the students who choose between 2(14x - 4) and 4(7x - 2) is/are whom you'd pick for your answer.
2x + 8
2 + 3
7x + 21
.
x +4
Answers
Answer:
[tex]60x + 86[/tex]
Step-by-step explanation:
I need help with this question please
Answers
9514 1404 393
Answer:
y = -x -2
Step-by-step explanation:
The line crosses the y-axis at y = -2, so that is the y-intercept.
The slope is the ratio of "rise" to "run." The points on the graph show a "rise" of -3 for a "run" of 3.
m = rise/run = -3/3 = -1
Then the slope-intercept equation is ...
y = mx +b . . . . . slope m, y-intercept b
y = -x -2 . . . . . . . using m=-1, b=-2
Please please help please
Answers
Answer:
3 times larger
Step-by-step explanation:
I'm not a hundred percent sure but I'm pretty sure it is.
hope this helped ;)
39 is what percent of 52?
Answers
Answer:
1.3 percent
Step-by-step explanation:
Plums and Peaches
The graphs below show the cost y of buying x pounds of fruit. One
graph shows the cost of buying x pounds of peaches, and the other
shows the cost of buying x pounds of plums.
Answers
Answer:
a. Peaches cost more by pound because the line it forms is steeper
b. draw a line that is less steep than the plums and under the plums line
My friends and I go to the cinema by bus.
We spend 10 minutes walking and 15
minutes waiting at the bus stops, the
Journeys take 20 minutes each way
we arrive as the film starts. There are
25 minutes of adverts and trailers,
and the film lasts for 95 minutes
We get home at 17:20
What time did we set off to
the car
Answers
Answer:
15:35??
Step-by-step explanation:
1. 20 + 15 = 35
2. 35 + 10= 45
3. 45 + 25 = 70 = 1 hour and 10 minutes
4. 95 mins = 1 hour and 45 minutes
5. 1 hour and 10 mins + 1 hour and 45 minutes = 2 hours and 55 minutes
6. 17:20
- 02:55
15:35
15:35
i don't know if this is right but it it does, your welcome.
What is the area of this figure? (I give brainliest!)
Answers
Answer:
726
Step-by-step explanation:
(22*25)+(16*11)=
550+176=
726