Erica drives 25 miles south, and then drives east. After a while, it is determined that she's 60 miles (diagonally) from where she started. How far east did she drive? (HINT: draw a rough sketch!)
Answers
The distance she drove east from the starting point is 54.54 miles.
The given parameters include;
initial displacement of Erica, d₁ = 25 miles south
final position of Erica, d₂ = 60 miles east
The displacement of Erica from the initial position as shown in the diagram is calculated as;
Apply Pythagoras theorem, to solve for x;
x² = d₂² - d₁²
x² = 60² - 25²
x² = 2975
x = √2975
x = 54.54 miles
Therefore, the distance she drove east from the starting point is 54.54 miles.
To learn more about Pythagoras theorem, please visit: https://brainly.com/question/17033407
Related Questions
A scenic train ride has one price for adults and one price for children. One family of two adults and two children pays 1054 Baht for the train ride. Another family of one adult and four children pays 1190 Baht. Find the price x for an adult and the price y for a child?
Answers
Answer:
x = price for adult = 306 Baht
y = price for children = 221 Baht
Step-by-step explanation:
Let
x = price for adult
y = price for children
2x + 2y = 1054 (1)
x + 4y = 1190 (2)
From (1)
x = 1190 - 4y
Substitute x = 1190 - 4y into (1)
2x + 2y = 1054 (1)
2(1190 - 4y) + 2y = 1054
2380 - 8y + 2y = 1054
- 8y + 2y = 1054 - 2380
- 6y = - 1326
y = -1326/-6
y = 221
Substitute y = 221 into (2)
x + 4y = 1190 (2)
x + 4(221) = 1190
x + 884 = 1190
x = 1190 - 884
= 306
x = price for adult = 306 Baht
y = price for children = 221 Baht
Suppose TM ≈ GL and angle M ≈ G What additional information is needed to prove triangle MTD≈ GLS by SAS?
Answers
Answer:
the second option
Step-by-step explanation:
SAS is side angle side. so, we need 2 sides and the enclosed angle.
since G is the transformed M, and GL is the transformed side TM, that also means L correlates to T and S to D.
for SAS we need both sides of the angles M and G.
TD and SL are not satisfying this condition.
only MD and SG do.
Factorize:
a)(a+b) (a-b)-a+b
b)a²-(b-3)a-3b
c) ax²-bx²-ax+bx+a-b
help Me these questions I will mark u as brainliest
Answers
Answer:
Step-by-step explanation:
HELP ASAP PLEASEREEEEE
Answers
Answer:
uh
Step-by-step explanation:
my guy, I DK.
how do you answer this
Answers
Answer:
19 units
Step-by-step explanation:
count the squares around the shape for the slanted part treat it like a rectangle and just count the squares from the pointy spot to the other side where it stops
answer please and no links .....thank you
Answers
Answer:
8,3,-1,3,15
Step-by-step explanation:
y=x^2-1
y(-3)=8
y(-2)=3
y(0)=-1
y(2)=3
y(4)=15
find the measure of the missing angles in the kite
Answers
Answer:
Step-by-step explanation:
In a kite, the angles between the two non- congruent side have the same degree.
x = 114 degrees
In a quadrilateral the sum of the inner angles is 360 degrees
88 + (114 * 2) + y = 360
88 + 228 + y = 360
316 + y = 360
y = (360 - 316)
y = 44 degrees
What is the remainder when 4x2 - 2x + 6 is divided by x - 2?
Answers
Answer:
18
Step-by-step explanation:
Find the zeros of the divisor
x-2=0
x=2
Plug 2 into the polynomial
4(2)²-2(2)+6
=16-4+6
=18
if 1cm on a map represents 37 1/2 km what does a length of 2/5cm on the map represent
Answers
Answer:
15
Step-by-step explanation:
[tex]37 \frac{1}{2} \times \frac{2}{5} = \frac{75}{2} \times \frac{2}{5} = 15[/tex]
Helppppp pleaseeee anyoneeeee
Answers
Triangle= 1/2 base * height
Triangle= 1/2(20)(11)= 110yd^2
Rectangle 1= base*height
Rectangle 1: (8)(4)= 32yd^2
Rectangle 2= (7)(12)= 84yd^2
Then add them together to get 226yd^2
What is the explicit rule for the geometric sequence?
400, 200, 100, 50,...
(I'll put the answers in a screenshot) Plzz help :(
Answers
Answer:
an = 400*(1/2)^(n - 1) which is C is the most common answer.
Step-by-step explanation:
What did you have to do to get 400 as the first term?
There are two answers.
an = 400 * (1/2)^(n - 1)
an = 400 * (1/2)^n
Which one is the answer?
The answer is the one that leaves 400 as the first term.
a1 = 400*(1/2)^(n-1) should be the answer.
400*(1/2)^n is unfortunately sometimes used. In which case, the first term is a^0
A1 = 400 (1/2)^(n - 1) is the usual for that describes the series.
A man walks at the rate of 88 paces to the minute if the average length of his paces is 0.875m, find the time take to walk 2.31km.
Answers
Answer:
30 minutes
Step-by-step explanation:
Walk rate = 88 paces/ minute
Average length of pace = 0.875 m
Time taken to walk 2.31 km ;
The distance in metres :
1000 m = 1 km
2.31 km = (1000 * 2.31) = 2310 m
Recall :
Time taken = distance / speed
Distance walked in a minute = 88 * 0.875 = 77 m
Time taken = 2310 / 77
Time taken = 30 minutes
Jennifer has $400 more than Brian has. If she were to give Brian 20% of her money, then Brian would have 2 3 of the amount of money that Jennifer would then have. How much money does Brian currently have (before exchanging money)
Answers
Answer: [tex]\$202[/tex]
Step-by-step explanation:
Given
Jennifer has $400 more than Brian
Suppose Brian has x amount initially
So, Jennifer has 400+x
If Jennifer gives 20% of her to Brian, then brian would have two-third of the amount Jennifer left with
[tex]\Rightarrow \dfrac{2}{3}\times [400+x](1-0.2)=[400+x](0.2)+x\\\\\Rightarrow \dfrac{2}{3}\times 0.8\times (400+x)=80+0.2x+x\\\\\Rightarrow 213.334+0.533x=80+1.2x\\\Rightarrow 133.334=0.66x\\\Rightarrow x=\$202.02[/tex]
Thus, Brain has [tex]\$202[/tex]
how do i solve this any one know pls help me
Answers
Answer: 5π OR 15.70796327
Step-by-step explanation:
Formula for circumference is C=2πr (radius) OR C=πd (diameter)
Our radius is 5 units, so our diameter is 10 units
C=10π
However, the question is only asking for length of semicircle
So you have to divide: 10π/2=5π
Martina is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
74, 64, 90, 74, 92, 68, 71
Find the range of the data set.
=___
Answers
Answer:
28
Step-by-step explanation:
Subtract highest number from lowest.
92-64 = 28
How many feet from the vulture
Answers
69.7 ft
Step-by-step explanation:
We know that
The function sine of angle of 35 degrees is equal to divide the opposite side to the angle of 35 degrees (the height of the vulture tree) by the hypotenuse (the distance from the vulture to the roadkill)
Let
z -> the distance from the vulture to the roadkill
sin(35*)=40/z
z = 40/sin (35*) = 69.7 ft
Delta math need help
Answers
Answer:
2.6
Step-by-step explanation:
We'll use the Pythagoras theorem to solve this, which states that in a right angle triangle:
h^2 = a^2 + b^2
4^2 = 3^2 +b^2
16= 9 +b^2
16-9= b^2
7= b^2
(take square root in both sides)
b= 2.65
round to nearest 10th = 2.6
answer by Gauthmath
Answer:
Missing side is 2.6
3^2 + x^2 = 4^2
9 + x^2 = 16
-9 -9
x^2 = 7
([tex]\sqrt{x}[/tex])^2 = [tex]\sqrt{7}[/tex]
x = 7
Find the approximation o the square root of 7 in fractions then carry out the long division.
Or
Approx. is 2 3/5 which equals 2 6/10 which equals 2.6
I need help plz someone help me
Answers
Answer:
N'=(0, 0)
K'=(4,4)
I'=(4, 0)
Compare the value of the following expression with zero. 5a^3b^2/a+b, where a<0, b<0
Answers
Answer:
The given expression will be greater than zero.
Step-by-step explanation:
If a < 0 and b < 0, then 5a^3 is < 0 (5a^3) is negative;
but b^2 is > 0.
Then (5a^3)*(b^2) < 0
and if we divide this quantity by a + b (which is negative), the end result will be > 0.
in how many ways can 7 people line if A needs to be first or last and B needs to be in the middle
Answers
Answer:
Assuming person A and person B are part of the 7 people, there are 10 ways the 7 people can line up if A needs to be first or last and B needs to be in the middle.
Step-by-step explanation:
There are 2 places for A (first, last) and 5 places for B (anywhere but first or last). 2 x 5 = 10.
Show that the line 4y = 5x-10 is perpendicular to the line 5y + 4x = 35
Answers
Step-by-step explanation:
concept :concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines areconcept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines are4y = 5x-10concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines are4y = 5x-10or, y = (5/4)x(5/2). .....(1)5y + 4x = 355y + 4x = 35ory = (-4/5)x + 7. ......(2)Let m and n be the slope of equations i and ii, respectively.Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5therefore, mx n = -1Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5therefore, mx n = -1Hence, the lines are perpendicular.Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed.
х
34
16
30
Answers
Answer:
cos Z = 8/17
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = opp / hyp
cos Z = 16/34
cos Z = 8/17
Find the length of the arc with central angle of 205° and radius of 7 cm. Use 3.14 for pi(π) and round to the nearest hundredth.
12.52 cm
25.03 cm
87.61 cm
153.86 cm
Answers
The length of the arc with a central angle of 205° is 25.03 cm
Length of an arcThe formula for calculating the length of an arc is expressed as:
L = rtheta
Given the following parameters
r = 7cm
theta = 205° = 3.57792 radians
L = 7(3.57792)
L = 25.04544
Hence the length of the arc with a central angle of 205° is 25.03 cm
Learn more on length of an arc here: https://brainly.com/question/2005046
A fruits seller bought some lemon for Re 1 for 15 lemon. if he sold all lemons at 25% profit, how many lemons were sold for Rs 1.
Answers
Answer:
12 lemons
Step-by-step explanation:
CP of 15 lemon = ₹ 1
Profit = 25 %
SP of 15 lemons = [tex]\frac{100+profit}{100}*CP[/tex]
[tex]= \frac{125}{100}*1\\\\= \frac{5}{4}[/tex]
SP of 15 lemons = ₹ [tex]\frac{5}{4}[/tex]
Number of lemon for ₹ [tex]\frac{5}{4}[/tex] = 15
Number of lemons for ₹ 1 = 15 ÷ [tex]\frac{5}{4}[/tex]
[tex]= 15 *\frac{4}{5}\\\\= 3*4\\\\= 12[/tex]
CAN SOME HELP PLS I NEED HELP PASSING PYTHAGOREAN THEOREM
Answers
Answer:
Step-by-step explanation:
[tex]a^2+b^2=c^2\\8^2+15^2=c^2\\64+225=c^2\\289=c^2\\c=17\\\\17+15+8 = 40 meters[/tex]
Just need to know if I answered this correctly please!
Answers
Answer:
yes, your answers are correct
Help please urgent 25 point
Answers
Answer:
60
Step-by-step explanation:
b = the hypotenuse of a right angle triangle
a = the adjacent side.
R is being defined by the cosine
cos(R) = adjacent / hypotenuse
adjacent = 16* sqrt(2)
hypotenuse = 32*sqrt(2)
Cos(R) = 16*sqrt(2) / 32*sqrt(2) sqrt(2) cancels.
cos(R) = 1/2
R = cos-1(1/2)
R = 60 degrees.
HELPPP
Solve: r = -5 + 19. r =____?
-24
14
-14
24
Answers
Answer:
14
Step-by-step explanation:
19 - 5 = 14
r = 15
Step-by-step explanation:
r = -5 + 19
Add 5 to -5 then subtract 5 from 19
r = 15
The area of an isosceles triangle is 52 square inches. The height is 8 in. What is the length of the base?
Answers
Answer:
base = 13 in
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here A = 52 and h = 8 , then
[tex]\frac{1}{2}[/tex] b × 8 = 52
4b = 52 ( divide both sides by 4 )
b = 13
If the lengths of the legs of a right triangle are 4 and 8, what is the length of the
hypotenuse?
O A. 12
B. 4sqrt5
Oc. 32
D. 4sqrt3
Answers
Answer:
option A. twelve because hypotenuse angle is equal to perpendicular to the sum base
