F a student drives 30 miles north, the 40 miles east, then 60 more miles north and finally 80 more miles east, exactly how far is she from her starting point? (As the crow flies.)
Answers
Answer:
150 miles
Step-by-step explanation:
The movements are represented as:
[tex]N1 = 30miles[/tex]
[tex]E1 = 40miles[/tex]
[tex]N2 = 60miles[/tex]
[tex]E2 = 80miles[/tex]
Required
Determine the distance from the starting point
The student's movement is illustrated with the attached image.
First, calculate the total distance towards North.
[tex]N = N1 + N2[/tex]
[tex]N = 30 + 60[/tex]
[tex]N = 90[/tex]
Next, calculate the total distance towards East
[tex]E = E1 + E2[/tex]
[tex]E = 40 + 80[/tex]
[tex]E = 120[/tex]
The total distance from the starting point is calculated using Pythagoras theorem.
[tex]D^2 = N^2 + E^2[/tex]
[tex]D^2 = 90^2 + 120^2[/tex]
[tex]D^2 = 22500[/tex]
[tex]D = \sqrt{22500[/tex]
[tex]D = 150[/tex]
Related Questions
Triangle DEF is on a coordinate plane with its
vertices located at D( – 3,5), E( – 3, - 2), and
F(3,0). What is the area of ADEF in square
units?
Answers
Answer:
[tex]21\ \text{square units}[/tex]
Step-by-step explanation:
The points are [tex]D(-3,5), E(-3,-2)[/tex] and [tex]F(3,0)[/tex].
Area of a triangle is given by
[tex]A=\dfrac{D_x(E_y-F_y)+E_x(F_y-D_y)+F_x(D_y-E_y)}{2}[/tex]
[tex]\Rightarrow A=\dfrac{-3(-2-0)+-3(0-5)+3(5-(-2))}{2}[/tex]
[tex]\Rightarrow A=21\ \text{square units}[/tex]
The area of the given triangle is [tex]21\ \text{square units}[/tex].
Answer please to the best of your ability
Answers
Answer:
1.8 m
Step-by-step explanation:
h(T)=-9.8T^2+20T+1
just replace the T with 2
h=-9.8(2^2)+20(2)+1
-9.8×4+40+1=1.8m
1.8m
Triangle WXY, with a vertex X at (3, 0), is rotated clockwise 270° about the origin.
Which of the following rotations is equivalent 270° clockwise rotation about the origin?
clockwise 270°
counterclockwise 90°
counterclockwise 360°
clockwise 90°
Answers
A rotation of 270 would be equal to 630, 990, etc. Adding 360 degrees would result in the same rotation.
Answer:
counterclockwise 360°
Step-by-step explanation:
"The difference between the circumference and diameter of a wheel is 18cm. Find the radius of the wheel. Use 3.14 for Pi. Round to the nearest tenth."
Answers
Answer:
[tex]4.2\ \text{cm}[/tex]
Step-by-step explanation:
d = Diameter of wheel
The difference between the circumference and diameter of a wheel is 18 cm.
[tex]2\pi r-d=18\\\Rightarrow \pi d-d=18\\\Rightarrow d(\pi-1)=18\\\Rightarrow d=\dfrac{18}{\pi -1}\\\Rightarrow d=\dfrac{18}{3.14-1}\\\Rightarrow d=8.41\ \text{cm}[/tex]
The diameter of the wheel is 8.41 cm so the radius will be [tex]\dfrac{8.41}{2}=4.205\approx 4.2\ \text{cm}[/tex].
which expression has a constant of 5?
Answers
Answer:
A
Step-by-step explanation:
Find the rate of change between (3, 8) and (6, 26)
Answers
Answer:
6
Step-by-step explanation:
The slope m between the 2 points is a measure of the rate of change.
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (6, 26)
m = [tex]\frac{26-8}{6-3}[/tex] = [tex]\frac{18}{3}[/tex] = 6
Then rate of change is 6
How many degrees is angle A?
Answers
Answer:
128 degrees
Step-by-step explanation:
Answer: 112 degrees
============================================================
Explanation:
If we assume ABCD is a parallelogram, then the adjacent angles are supplementary.
So,
A+D = 180
A+68 = 180
A = 180-68
A = 112
Just read this over to see if this sounds good. It's my intro paragraph. Give me some insight if I need to change anything. Honest opinions please
People of the past and present judge each other by their class. This could relate to how much wealth they have as well as their social class or economic status. These judgments separate us as a society, and we live our lives around these judgments. Class, in simple words, is a group of people or things categorized by the quality and economic status. This relates to the novel The Great Gatsby by some of the characters in the novel, such as Tom and Daisy Buchanan who are sardonic and in love with material luxury.
·
Daisy Buchanan is a beautiful, charming woman from Louisville, Kentucky. For a while, she was with Gatsby before he went to war but later married Tom Buchanan because he had a promised wealthy life that he could provide her. In the novel, during the reunion at Daisy's house in the east egg, "'You make me feel uncivilized, Daisy,' I confessed on my second glass of corky but rather impressive claret. 'Can't you talk about crops or something?'" Nick's statement shows the wealthy class of the east egg and how Daisy flaunts her wealth to everybody instead of enjoying the people around her.
Answers
Answer:
This is amazing great job
Step-by-step explanation:
Help me WILL PICK BRAINLIEST
Ok so the equation is 5 (n - 4) = -60. We're supposed to find out what n is but I don't know. help meeeee
Answers
n is 7 :] ...
Step-by-step explanation:
pls mark brainlest
Answer:
n = -8
Step-by-step explanation:
5 (-8 - 4) = -60
5 (-12) = -60
-60 = -60
Do it on any calculator that's what you'll get
A dairy company can make 1200 units of product each week. To meet the needs of its regular customers, the dairy company must produce at least 300 units of cheese, and 450 units of yogurt. If the profit for each unit of cheese is $60 and for each unit of yogurt is $90, how many units of each type of dairy product should the dairy company make to maximize its profit?
Answers:
300 yogurt and 450 cheese
300 cheese and 900 yogurt
450 yogurt and 750 cheese
750 yogurt and 450 cheese
Answers
Answer:
300 cheese and 900 yogurt
Step-by-step explanation:
300 cheese and 900 yogurt
Please I beg help show work
A 94
B 1
C 47
D 3
Answers
Answer:
x = 3
Step-by-step explanation:
15x + 2 = 9x + 20
Now solve for x
Subtract 2 from each side
15x = 9x + 18
Subtract 9x from each side
6x = 18
Divide each side by 6
x = 3
Answer: x=3
Step-by-step explanation:
When you have two parallel lines cut by a transversal (line that goes across them), it forms special angles. One of those special angles is alternate interior angles. Alternate meaning opposite sides of the transversal and interior meaning on the inside of the parallel lines. The special relationship of these angles is that they are equal.
9x+20 and 15x+2 are alternate interior angles which means they are equal. Set them equal to each other to solve for x.
9x+20= 15x+2. Subtract 9x from both sides.
20= 6x+2. Subtract 2 from both sides.
18=6x. Divide both sides by 6.
3=x
Charley has 1 ⅞ pounds of trail mix. If each bag can hold 1/12-pound of mix, how many full bags can be made?
Answers
Answer:
9
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
1 7/8 = 15/8
15/8 ÷ 1/12 = 15/8 × 12/1 = 45/2 or 22 1/2
(3RD TIME POSTING THIS)
Write the word sentence as an inequality
A number x is no more than - 8
Answers
Answer:
x ≤ -8
Step-by-step explanation:
"A number x": x
"is no more than": ≤*
"-8": -8
x ≤ -8 is your answer.
*Note the choice of less than or equal too. "No more than" implies that it can technically be -8, only that it can't be greater than -8 (-7 or more).
~
f(x) = 9x2 - 4
Find the zeros of the function
Answers
Answer:
I believe that the answer is 14.
Step-by-step explanation:
hope it helped
A shop in the mall is 7 metres by 12 metres. How much would it cost to recarpet the shop with the carpet that costs £4 per square metre
Answers
Answer:
£336
Step-by-step explanation:
cost of recarpeting = area of the shop x cost per square meter
Area of a rectangle = length x breadth
7 x 12 = 84m^2
cost of recarpeting = 84m^2 x 4 = £336
I need help on this. Can someone explain it?
Answers
Answer:
noooooooooooooooooooooo
Hope it helps!
Have a nice day or night :O
Any concerns just comment and I can respond
what's
[tex] \sqrt{11 \times 3 + 3} [/tex]
Answers
Answer:
6 Ans .......
Step-by-step explanation:
Data:
√11 x 3+3
Solution:
=√11 x 3+3
=√33+3
= 6 Ans .........
Can someone Help? thank you! :)
Answers
Answer:
$3
Step-by-step explanation:
Since he’s leaving a 20% tip, we need 20% of 15.
To solve, multiply 20/100 (20%) by 15:
20/100*15 = 300/100 = 3
He will leave a $3 tip.
Answer:
$3
Step-by-step explanation:
To solve this problem, first, one must convert the percent of the tip to decimal form. This can be done by dividing the percent by 100. Then one will multiply this value by the total bill.
20% * 15
= 0.2 * 15
= 3
9. Which
of the following is a proper fraction?
A 12/10
B. 5/4
C.7/10
D.10 1/9
Answers
Answer:
c
Step-by-step explanation:
because in a proper fraction the numerator is less than the denominator
The ___________________________ of an object is how heavy the object is
Answers
Answer:
Mass
Step-by-step explanation:
Answer:
the answer is weight.
Step-by-step explanation:
hope this helps!! please mark brainliest.
ABC is the image of ABC under a translation
Answers
2/17=X/9
what does x equal??
Answers
Answer: Multiply to remove the fraction, then set equal to
0
and solve.
Exact Form:
X = 18 /17
Decimal Form:
X = 1.05882352 …
Mixed Number Form:
X = 1 1 /17
2
17
=
X
9
what does
x
equal??
Multiply both sides of the equation by
9
.
2
17
⋅
9
=
X
9
⋅
9
Simplify.
Tap for more steps...
18 /17 = X
Rewrite the equation as
X = 18 /17 .
X = 18 /17
The result can be shown in multiple forms.
Exact Form:
X = 18 /17
Decimal Form:
X = 1.05882352 …
Mixed Number Form:
X = 1 1 /17
Step-by-step explanation:
2/17=X/9
what does x equal??
Please tell me the answer to 8 to the tenth power times 6 to the 4 power? I really need to know
Answers
Answer:
1391569403904
Step-by-step explanation:
Answer:
1.3915694e+12
Step-by-step explanation:
What number is the the value of the digit 7 one hundred times as much as the value of the digit in 532,736 A)27,038 B). 73,645 C).124,743 D) 736,942
Answers
I dont know sorry
Step-by-step explanation:
Find the median for the following set of numbers.
4, 18, 3, 29, 23
0 29
3
18
04
Answers
Answer:
3 is the median
Step-by-step explanation:
the median is just the middle number, the number in the middle of a sequence
3 is perfectly in the middle
hope this helps chu <3
range of f(x)=3x^2-30x-9
Answers
Answer:
y ≥ -84
Step-by-step explanation:
-84 id the vertex so it is the lowest possible value for the range
Look at the image below
Answers
Answer:
your answer will be 12
Step-by-step explanation:
[tex]4x-6=42\\\\4x=42+6\\\\4x=48\\\\x=12[/tex]
have a nice day ^_^
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
∠B=∠E
7x+10=947x=94-107x=84x=8yx=8y/7x=12------------------
∠A=∠D
42=4x-64x=6+424x=48x=48/4x=12⭒☆━━━━━━━☆⭒
hope it helps...
have a great day!!
witch one is the function
Answers
Answer:
B
Step-by-step explanation:
a function doesn't have any repeating x values
2x + 3 = -x + 12
Solve the equation, explanation is good.
Answers
Answer:
3
Step-by-step explanation:
2x + 3 = -x + 12
subtract 3 from both sides
2x = - x + 9
add x to both sides
3x = 9
divide by 3
x = 3
HI PLS HELP
x^2 - 6x + ___ = ( _____ )^2
Select one:
a. 9; x + 3
b. 9; x - 3
c. -6; x + 6
d. -6; x - 6
Answers
Answer:
Hello
Step-by-step explanation:
Answer:
B. 9; x-3
Hope this helps!