Jen and Holly are on the Athletic council and want to put a blow up version on the school mascot in the parking lot. They need to tie it down.
Jen’s rope is 7.8 m long and makes an angle of 360 with the ground. Holly’s rope is 5.9 m long. The wind is really strong so they will secure both ropes to the left of the mascot. How far to the nearest tenth of a metre, is Jen from Holly?
Answers
Answer:
2.6 m
Step-by-step explanation:
In the attached diagram
Consider Triangle ABC
[tex]\sin36^\circ =\dfrac{|BC|}{7.8} \\|BC|=7.8*\sin36^\circ\\|BC|=4.5847$ m[/tex]
Our goal is to determine the distance of Jen (at point A) to Holly (at Point D).
In Triangle ABC
[tex]\cos 36^\circ =\dfrac{|AC|}{7.8} \\|AC|=7.8*\cos36^\circ\\|AC|=6.3103$ m[/tex]
In Triangle BDC
Applying Pythagoras Theorem
[tex]|BD|^2=|BC|^2+|CD|^2\\5.9^2=4.5847^2+|CD|^2\\|CD|^2=5.9^2-4.5847^2\\|CD|^2=13.7905\\|CD|=\sqrt{13.7905}=3.7136$ m[/tex]
Now, |AC|=|AD|+|DC|
6.3103=|AD|+3.7136
|AD|=6.3103-3.7136
|AD|=2.5967
|AD|=2.6m (correct to the nearest tenth of a metre)
The distance of Jen from Holly is 2.6m.
Related Questions
Mrs. Kramer bought some markers at the school supply store, including 8 black
markers. 80% of all the markers she bought were black
How many markers did Mrs. Kramer buy in all?
A -28
B-10
C-20
D-16
Answers
Answer:
The answer is 10
Step-by-step explanation:
At about 9:00 PM every night, flights from Chicago, Miami, and Denver arrive at the local airport in a random order. What is the probability that the Chicago flight will arrive first on any night? Write your answer as a fraction in simplest form
Answers
Answer:
The answer is 1/3
Step-by-step explanation:
Since there are 3 planes that arrive in a random order, there is a 1 in 3 chance that the plane from Chicago will arrive first. Hope this helps!
tick the calculation that would increase 275 by 10%
275 + 10
110/100 x 275
10/275 x 10
275 + 27.5
Answers
Answer:
The calculation that would increase 275 by 10%:
275 x ( 1 + 10%) = 275 x (1 + 10/100) = 275 x 110/100 = 302.5
Hope this helps!
:)
(+34)+(-48)+(-32)+(+26) =???
Answers
Answer:
-20
Step-by-step explanation:
Answer:
[tex] - 20[/tex]
Step-by-step explanation:
[tex] (+ 34) + ( - 48) + ( - 32) + ( +26) \\ 34 - 48 - 32 + 26 \\ = (- 20) [/tex]
Quadrilateral A^ prime B^ prime C^ prime D^ prime is the image of quadrilateral ABCD under a rotation about point Q
A: -90
B: -60
C: 60
D: 90
Answers
When a shape is rotated, it must be rotated through a point.
The rotation from [tex]ABCD[/tex] to [tex]A'B'C'D'[/tex] is (d) [tex]90^o[/tex]
To determine the angle of rotation from [tex]ABCD[/tex] to [tex]A'B'C'D'[/tex], we use the following steps
Connect a point and the image of the point to the center of rotation.Measure the angle at the point of rotationDraw an arrow from [tex]ABCD[/tex] to [tex]A'B'C'D'[/tex] to determine the direction of rotation.See attachment for illustration.
From the attached image;
We draw A and A' to point QThen we measure the angle at Q; this gives [tex]90^o[/tex].The arrow from [tex]ABCD[/tex] to [tex]A'B'C'D'[/tex] indicates a clockwise directionHence, the angle of rotation is D: 90
Read more about rotations at:
https://brainly.com/question/1571997
Zach wants to buy a new movie for $25. He already has $11 saved and his mom will give him $2 for each chore he does. What is the least amount of chores Zach will have to do in order to save enough money for the movie.
Answers
First you do 25-11 which Is 14
And it says he gets 2 dollars for every chore he does and he needs the remaining 14 dollars so now your gonna do 14 divide 2 which is 7 which is the least amount of chores he has to do
7
The length and breadth of a rectangular shaped plot is 1215 m and 527 m respectively. Find its perimeter.
Answers
Answer:
3484m
Step-by-step explanation:
Perimeter of a rectangle= 2(L+B) where L= Length and B= Breadth
Length of the plot= 1215m
Breadth= 527m
∴ Perimeter of the plot= 2(1215m+527m)
= 2(1742m)
= 3484m
Hope this helps!!!
The profits of Mr. Cash's company is represented by the equation 푃 푡 =−3푡 ) +18푡−4, where 푃(푡) is the amount of profit in hundreds of thousands of dollars and 푡 is the number of years of operation. He realizes his company is on the down turn and wishes to sell before he ends up in debt.
Answers
Answer:
- Mr Cash's company business shows the maximum profit in 3 years after starting the business.
- The maximum profit = 23 thousand dollars = $23,000
- Anytime beyond 5.77 years will be too late to sell the business as the profit margins have entered negative values.
Step-by-step explanation:
Complete Correct Question
The profits of Mr. Cash’s company is represented by the equation
p(t)=-3t^2+18t-4,
where p(t) is the amount of profit in hundreds of thousands of dollars and t is the number of years of operation. He realizes his company is on the down turn and wishes to sell before he ends up in debt.
In what year of operation does Mr. Cash’s business show maximum profit? What is the maximum profit? What time will it be too late to sell business?
Solution
The profit function is given as
p(t) = -3t² + 18t - 4
p(t) = profit in thousand of dollars
t = time in years.
To find the year where the maximum profit is obtained, we use differentiation analysis to obtain the maximum of the profit function and the corresponding time where it occurs.
At the maximum of the profit function,
(dp/dt) = 0 and (d²p/dt²) < 0
p(t) = -3t² + 18t - 4
(dp/dt) = -6t + 18
At maximum profit
(dp/dt) = -6t + 18 = 0
6t = 18
t = (18/6) = 3 years.
(d²p/dt²) = -6 < 0
Hence, this value of t corresponds to the maximum value of the profit function.
The maximum profit is then obtained when t = 3
p(t) = -3t² + 18t - 4
p(3) = -3(3²) + 18(3) - 4 = 23 thousand dollars
The business will be late to sell when the profits from the business start to run into negative values. So, we obtain the time when the profit margins reaches 0.
p(t) = -3t² + 18t - 4 = 0
-3t² + 18t - 4 = 0
Solving the quadratic equation
t = 0.23 years or t = 5.77 years
Since the profits first start rising from the value at t=0 up till the maximum profit at t=3, 0.23 years isn't a realistic point to sell the business as this is part of the onset of profits, but beyond 5.77 years on the other hand represents when the business stops to bringing in profits and leads to losses.
Hope this Helps!!!
What is an equation of the line that passes through the points (6,0) and (−1,−7)
Answers
Answer: y= 1x - 6
Step-by-step explanation:
(6,0) (-1,-7)
0-(-7)= 7
6-(-1)= 7
7/7= 1 so the slope is 1 and we just need to find the y-intercept and we will do that by using the formula y= mx +b
-7= 1(-1) + b
-7= -1 + b
+1 + 1
b= -6 so the y-intercept is -6.
Answer:
y= 1x - 6
Step-by-step explanation:
just got it right!!: )
19 + 12k = –k − 20 solve for k
Answers
Answer:
k=13
Step-by-step explanation:
19 + 12k = –k − 20
19+20=39=13k
k=13
Answer: -3
Step-by-step explanation:
Let's solve your equation step-by-step.
19+12k=−k−20
Step 1: Simplify both sides of the equation.
19+12k=−k−20
19+12k=−k+−20
12k+19=−k−20
Step 2: Add k to both sides.
12k+19+k=−k−20+k
13k+19=−20
Step 3: Subtract 19 from both sides.
13k+19−19=−20−19
13k=−39
Step 4: Divide both sides by 13.
13k /13 = −39/13
The legs of a right triangle are represented by a and b, and the hypotenuse of the right triangle is represented by c. Which equation is not equivalent to the Pythagorean
Theorem? please answer fast
Answers
Answer:
the third one
Step-by-step explanation:
the hypotenuse cannot be gotten by subtracting the two shorter sides
answer choices :
A : x = - 5
B : x = - 4
C : x = 4
D x = 5
Answers
Answer:
x=-4
Step-by-step explanation:
[tex]\frac{1}{4} x - \frac{1}{8} = \frac{7}{8} + \frac{1}{2} x[/tex]
first group the like terms
[tex]\frac{1}{4} x - \frac{1}{2}x = 1[/tex]
as 1/8 plus 7/8 = 1
then add the x's together
[tex]-\frac{1}{4} x = 1[/tex]
and finally
x = -4
I broke my laptop sorry about the spots
Answers
Answer: [tex]3x^2-x+3[/tex]
Step-by-step explanation:
[tex](4x^2-x+6)-(x^2+3)[/tex]
Distribute the negative sign. This basically changes all the signs inside the parentheses.
[tex]4x^2-x+6-x^2-3[/tex]
Combine like terms;
[tex]3x^2-x+3[/tex]
A pound of mangoes cost $4,and a pound of grapes cost $3. You spend a total of $21 on two these fruits. If you buy 3 pounds of mangoes , how many pounds of grapes did you buy?
Answers
Answer:
3
Step-by-step explanation:
3
Is the point (5, –9) a solution in the equation y < -x -3
Answers
Answer:
yes, because if you input 5 for x it would be -8
and if u input -9 for y it is right as -8 is closer to 0 than -9
Solve the following, and express your answer in scientific notation.
(7.66 x 10^4) - (5.4 x 10^4)
Answers
Answer: 2.26 * 10^4
Step-by-step explanation:
Please help! Correct answers only please!
You spin the spinner twice.
What is the probability of landing on an odd number and then landing on an even number?
Simplify your answer and write it as a fraction or whole number.
Answers
Answer:
1/4
Step-by-step explanation:
Since on this spinner, there are 2 odd numbers, 2 even numbers, and 4 numbers in total, for the both spins there is a 1/2 probability that you land on the desired outcome. 1/2*1/2=1/4. Hope this helps!
Which set of ratios could be used to determine if one triangle is a dilation of the other?
A triangle with side lengths 3.6, 5.4, 6. A triangle with side lengths 3, 4.5, 5.
StartFraction 3.6 Over 3 EndFraction = StartFraction 5.4 Over 4.5 EndFraction = StartFraction 6 Over 5 EndFraction
StartFraction 3.6 Over 3 EndFraction = StartFraction 4.5 Over 5.4 EndFraction = StartFraction 6 Over 5 EndFraction
StartFraction 3 Over 3.6 EndFraction = StartFraction 4.5 Over 6 EndFraction = StartFraction 5 Over 5.4 EndFraction
StartFraction 3 Over 4.5 EndFraction = StartFraction 3.6 Over 5.4 EndFraction = StartFraction 5 Over 6 EndFraction
Answers
Answer:
Option (1).
Step-by-step explanation:
Dimensions of two triangles have been given as 3.6, 5.4, 6 units and 3, 4.5, 5 units.
If triangle one is dilated to form triangle two, then the ratio of the sides will be
Ratio = [tex]\frac{\text{Side of triangle (1)}}{\text{Corresponding side of triangle (2)}}[/tex]
= [tex]\frac{3.6}{3}[/tex]
Similarly, ratio of other two sides will be = [tex]\frac{5.4}{4.5}[/tex] and [tex]\frac{6}{5}[/tex]
Since the triangle (1) was dilated to form triangle (2), so both triangles will be similar and the ratios of their corresponding sides will be equal.
Therefore, Ratios of the sides = [tex]\frac{3.6}{3}=\frac{5.4}{4.5}=\frac{6}{5}[/tex]
Option (1) will be the answer.
Answer:
StartFraction 3.6 Over 3 EndFraction = StartFraction 5.4 Over 4.5 EndFraction = StartFraction 6 Over 5 EndFraction
Round the following number as indicated 106,513
Answers
Answer: i will put the answer as a comment but what are you rounding to
Step-by-step explanation:
Answer:
Depends on what you're round to. Read below.
Step-by-step explanation:
To the 100,000 place:
100,000
To the 10,000 place:
110,000
To the 1,000 place:
107,000
To the 100 place:
106,500
To the 10 place:
106,510
To the 1 place:
106,513
Answer should be in Polynomial in standard form.
(x-3)(x-4)
Answers
X*X +
(X*-4)+(x*-3) +
-3*-4
Answer:
x² - 7x + 12
Step-by-step explanation:
(x - 3)(x - 4) FOIL
x²- 4x - 3x + 12 Combine like terms
x² - 7x + 12
is the square root of 1,815 rational?
Answers
Answer:
It is not
Step-by-step explanation:
Explanation:
Using a calculator, we find that
sqrt(1815) = 42.6028168082816
which is not a whole number. The decimal numbers go on forever without any known pattern. Therefore, this number is irrational. This means it is not rational.
Ms. Luna is waterproofing the top of a rectangular wood deck. The width of the deck is 3 m less that the length. The length is 8m. What is the area to be waterproofed?
Answers
Answer:
40 m
Step-by-step explanation:
First we have to find the width. the width is 3 less than the length, which is 8... so the width is 5. Area is found by multiplyign length times width to get 40 m.
If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²
What is Rectangle?A rectangle is a quadrilateral with four right angles
The area of Rectangle is length times of width.
Given that Ms. Luna is waterproofing the top of a rectangular wood deck.
The width of the deck is 3 m less that the length.
Width=Length-3
Length=8
Area of rectangle=Length×Width
=Length×(Length-3)
=8×(8-3)
=8×5
=40 m²
Hence, If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²
To learn more on Rectangle click:
https://brainly.com/question/20693059
#SPJ2
What is the mean of the data set below? Round to the nearest tenth when necessary. 18, 20, 24, 26, 32 *
Answers
Answer:
The answer is 24
Step-by-step explanation:
Add 18, 20, 24, 26, 32= 120
then divide by 5.
What is it called when the gravities of the Sun and Moon combine twice a month, to produce an extra-high tidal bulge and extra-low tidal dip helpppppppppp ppppplleeeeasssssssee i will mark brainlest
Answers
Answer:
spring tides
Step-by-step explanation:
spring tides occur twice a month to produce an extra-high tidal bulge and extra-low tidal dip
What is the square root of 300
Answers
Answer:
the square root of 300 is 17. 32
Step-by-step explanation:
[tex] \sqrt{300} =17.32 \times 17.32[/tex]
Answer:
17.32
Step-by-step explanation:
step by step
Multiply this problem 2/7 x 21
Answers
Answer:
6
Step-by-step explanation:
2/7 times 21 equals 6. Next time, don't ask as a brainly question and use calculator so you don't waste/lose your points.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
the difference between 8 forty-sevens and 5 forty-sevens
Answers
Answer:
8 40/7 - 5 40/7 = (56 + 40)/7 - (35 + 40)/7 = 96/7 - 75/7 = 21/7 = 3
Hope this helps!
:)
Answer:
8 40/7 - 5 40/7 = (56 + 40)/7 - (35 + 40)/7 = 96/7 - 75/7 = 21/7 = 3
Hope this helps!
:)
Step-by-step explanation:
5.02×10^2 in standard form
Answers
Answer:
5020000000000.
Step-by-step explanation:
5.02×10^2 is in scientific notation so we must convert it to standard form getting that answer.
Which statement is true about the difference 2 square root of 7 − square root of 28 ?
Group of answer choices
A) It is rational and equal to −2.
B) It is rational and equal to 0.
C) It is irrational and equal to −2 square root of 7 .
D) It is irrational and equal to square root of 7 .
Answers
I'll go slow:
[tex]2\sqrt 7 - \sqrt{28}[/tex]
[tex]=2 \sqrt 7 - \sqrt{4 \cdot 7}[/tex]
[tex]=2 \sqrt 7 - \sqrt{4} \cdot \sqrt{7}[/tex]
[tex]=2 \sqrt7 - 2 \sqrt 7[/tex]
[tex]=0[/tex]
Answer: B rational and equal to 0.
SOHCAHTOA is not my thing can someone pls help
Answers
Answer:
You are using CAH which is adjacent/hypotenuse
Step-by-step explanation:
1.7101007166283435 is your answer
Answer:
1.710
Step-by-step explanation:
It got deleted before, idk why, but you are using CAH, so adjacent over hypotenuse. You would have to multiply cos(70) by 5 to get the answer.