6. Brandon and Charlotte Snifflesworth are visiting three of Americas top tourist attractions. The Snifflesworths
live close to Disney World in Orlando, Florida. They decided to start their trip at Disney World before traveling to
San Francisco, California to see the Golden Gate Bridge and then to Minneapolis, Minnesota to go shopping at the
Mall of America. The bearing from Disney to the Golden Gate Bridge is North 65° West. The bearing from the
Golden Gate Bridge to the Mall of America is North 80° East. The bearing from Disney to the Mall of America is
North 30° West and the distance traveled is 1,320 miles. Find all missing interior angles and distances created from
their triangular trip to America's top tourist attractions. Also find the bearing from the Mall of America to
Disneyland.
Answers
Answer:
The distance from Disney to the Golden Gate Bridge is 2,162.56 miles
The distance from Mall of America to The Golden Gate Bridge is 1,320 miles
The interior angle at The Golden Gate Bridge is 35°
The interior angle at Mall of America is 110°
The interior angle at Disney is 35°
The direction from Mall of America to Disney is South 30° East
Step-by-step explanation:
The bearing from Disney to the Golden Gate Bridge = North 65° West
The bearing from the Golden Gate Bridge to the Mall of America = North 80° East
The bearing from Disney to the Mall of America = North 30° West
The distance from Disney to the Mall of America = 1,320 miles
Let 'A', 'B', and 'C' represent the interior angles at Disney, The Golden Gate bridge and Mall of America respectively
From the drawing of the triangular trip, we find that the interior angle at C = The sum angles complementary to the bearings at B and at C
Therefore, the interior angle at C = (90° - 65°) + (90° - 80°) = 35°
The interior angle at B = The bearing of C from B - The bearing of A from B
∴ The interior angle at B = 65° - 30° = 35°
B = 35°
∠C = 35° and ∠B = 35°, therefore, the triangle is an isosceles triangle
The interior angle at A = 180° - (∠B + ∠A) = 180° - (35° + 35°) =110°
CA = AB = 1.320
By sine rule, a = sin(110) × 1320/sin(35) ≈ 2,162.56 miles
a = CB = 2,162.56 miles
Therefore, we have;
The distance from Disney to the Golden Gate Bridge = 2,162.56 miles
The distance from Mall of America to The Golden Gate Bridge = 1,320 miles
The interior angle at The Golden Gate Bridge = 35°
The interior angle at Mall of America = 110°
The interior angle at Disney = 35°
The magnitude of the bearing of Mall of America to Disney = The magnitude of the alternate angle to the bearing of Disney to Mall of America = 30°
∴ The direction from Mall of America to Disney = South 30° East
Related Questions
I need help!!
A regular heptagon is shown below. What is the value of x? *
Answers
Answer:
Value of X=51.43
Step-by-step explanation:
the measure of the central angle of a regular heptagon is about 51.43 degrees which = X
if this helped please leave a rating and mark me brainliest
OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME WHAT TO DRAW
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Answer:
Step-by-step explanation:
Answer:
13107 employees
A. The picture
B. 10,972 + 2,135 = n
13107 = n
Step-by-step explanation:
10,972 + 2,135 = 13107
What should be drawn is in the photo.
Maya buys ice cream and onions at the store. She pays a total of $21.29. She pays a total of $3.80 for the ice cream. She buys 3 bags of onions that each cost the same amount. Write and solve an equation which can be used to determine xx, how much each bag of onions costs.
Answers
21.29=3x+3.80
Write the equation of the line based on the given information explain the answer in slope intercept form
Answers
Answer:
y = 2/3 x - 3
Step-by-step explanation:
substitute the given slope and the coordinate into the slope-intercpet form:
y = mx + b to solve for b,
-1 = 2/3(3) + b
=> b = -3
y = 2/3 x - 3
HELP PLEASE!! WILL CROWN BRAINLIEST.....
On October 1, Gary’s bank balance was $130. During October, he made two
withdrawals and one deposit. At the end of the month, his bank balance was
$95. List two withdrawals and one deposit that would give this final balance.
Answers
Answer: i am not sure but thanks for the points have a good day
Step-by-step explanation:
What is the area of the triangle?
5
4
3
units2
Answers
Answer:
area of triangle =1/2 p×b=1/2×4×3=6unit²
what’s the measure of angle B?
Answers
Answer:
60°
Step-by-step explanation:
∠B=(240-120)/2=120/2=60°
ASAP‼️ DUE TONIGHT❕‼️
Answers
Answer:
99.95 yd
Step-by-step explanation:
Used the formulas
C=2πr
d=2r
Please hurryyyyy !!!! What's the slope and y intercept of 4y = 2x - 12
Answers
Answer:
slop is 0.5 and intercept of y is -3
Answer:
½ is the slope,-3 is the intercept
Step-by-step explanation:
now to find the slope and intercept
we use the equation,
y=mx + c
where m is the slope
and c is the y intercept
so we compare 4y=2x-12 to the equation
but we first have to make y the subject of the equation in the question – 4y is already the subject –
y=2x-12/4
y=2x/4 -3
comparing...
we see that m is 2/4=½ c= -3
x/2 + 4 < 18
What is the value of x?
And what does the point on the number line look like?
Someone help me
Answers
Answer:
28 hey hello how you doing the answer is 28
Which of the expressions below is equal to 10x+30? Select all that apply.
Answers
50 POINTS! Name a pair of whole numbers that have a geometric mean of 4.
How many pairs of rational numbers have a geometric mean of 4?
please help and don't say something random just for the points :)
Answers
Answer:
0, 16
1, 15
2, 14
3, 13
4, 12
5, 11
6, 10
7, 9
8, 8
Step-by-step explanation:
Any two numbers that have the product of positive 16 have a geometric mean of 4.
You deposited $700 in a savings account 4 years ago. The simple interest rate you earn is 4%. What is the amount of interest that you earned in those 4 years?
Answers
Answer: $112
Step-by-step explanation:
700x0.04=28x4=112
. A rectangle's length is 1 feet shorter than 3 times its width. If we use w to
represent the rectangle's width, use a polynomial to represent the
rectangle's area in expanded form.
area =
square feet
Answers
Answer:
Step-by-step explanation:
w is the width of the rectangle, then the length would be 3w - 1.
A = lw
A = w(3w - 1)
A = 3w² - w
NO LINKS PLEASE JUST THE ANSWER TEHEHHE THANKSSSS :))))
A square and rectangle are shown below. The width of the rectangle is the same as the length of a side of the square, both represented by x. The length of the rectangle is one foot more than twice its width. The perimeter of the rectangle is 26 feet more than that of the square.
A). Write an expression for the length of the rectangle in terms of x. Label the drawing
B). Show that 5 could not be the value of x
C). Set up an equation and solve it to find the value of x
THANKS FOR THE HELP!!!
Answers
Answer:
Since this is a multi-part question, just look at the bolded parts under each letter. I hope this helps a bit ;)
Step-by-step explanation:
A)
All sides of a square are congruent. "s" represents the square's perimeter:
s=4x.
"r" is the rectangle's perimeter:
r= 4x+26
since the perimeter = 2W + 2L:
2W + 2L= 4x+ 26
and W=x, so:
2x + 2L= 4x + 26
Subtract from both sides:
2L= 2x +26
Divide both sides:
the length of the rectangle "L"= x +13.
B) Plug 5 into the equations:
L= 5+ 13 or 18.
2(18) + 2(5)= r
36+ 10 = r or 46
s= s+ 26
s= 46-26 or 20.
20/4= 5...
It seems (at least to me, feel free to give constructive criticism) that the only logical conclusion is that 5 could be the value of x.
C) You would likely need to use substitution to solve, but unless I am much mistaken, this looks like an infinite-solutions equation.
L=w+13
May someone please help me with this :)
Answers
Answer:
3,080 cm
Step-by-step explanation:
simple -. -
Evaluate the expression 3x (x+4), for x=5 show and explain your steps
Answers
Answer reasoning : since X equals five you add 5+4 for the parentheses then 3×5 then multiply the 9 and the 15.
Answer:
27
Step-by-step explanation:
3 x ((5) + 4)
3 x 9 =27
A restaurant used 231 eggs last week. 46 of them are colored white, w. The remaining eggs are colored brown.Write an equation that represents the situation.
Answers
Answer:
46 + W = 231
Step-by-step explanation:
Answer:
231-W=amount of brown eggs (185)
Step-by-step explanation:
I'm confused math 7th grade pls help im confused
Answers
Answer:
10
Step-by-step explanation:
WILL GIVE BRAINLIEST PLEASE HELP ASAP, BEST ANSWER GETES BRAINLIEST. NOT A SCAM AND ITS NOT CAP WHAT SO EVER
Answers
Answer:
A. 60 + x = 90
Step-by-step explanation:
Complementary angles add up to 90 degrees so
60 + x = 90
Answer:
The answer is A: 60 + x = 90
Step-by-step explanation:
Complimentary angles are two angles that add up to 90, so the equation 60 + x = 90 is what you need to use to find the complimentary angle. I hope this helps :)
Jennifer painted a tabletop that is shaped like a circle. the circumference of the tabletop is 6π. Which measurement is closest to the area of the tabletop in square feet?
Answers
28.26 sq. Ft is the area of the table top
Pls hurry!! It’s a quick question
Answers
Answer:
3/2
Step-by-step explanation:
Given y varies directly as x, find the constant of variation k.
Answers
Answer:
y=k×x
so k =-1/2
ie: -1=-1/2(2)
-1=-1
hope this helps hshshsjjss
Mia is working two summer jobs, making $11 per hour babysitting and making $20 per hour lifeguarding. In a given week, she can work a maximum of 15 total hours and must earn no less than $220. If x represents the number of hours babysitting and y represents the number of hours lifeguarding, write and solve a system of inequalities graphically and determine one possible solution.
Answers
Answer: 11x + 20y ≥ 220
x + y ≤ 15
Hope this helps
9514 1404 393
Answer:
x + y ≤ 1511x +20y ≥ 2203 hours babysitting and 11 hours lifeguardingStep-by-step explanation:
The two inequalities represent the two relations described in the problem statement.
x + y ≤ 15 . . . . . . . Mia works a maximum of 15 hours
11x + 20y ≥ 220 . . . . Mia makes at least $220
These are graphed in the attachment. The solution area is the doubly-shaded area with vertices at (9, 6), (0, 11) and (0, 15). One possible solution is shown at (3, 11), which represents ...
3 hours babysitting
11 hours lifeguarding . . . . . . . . total 14 hours for $253
April has 6 fruit bars.she cuts them into halves. how many 1/2 size bar pieces does she have
Answers
Answer:
12
Step-by-step explanation:
If you cut them into halves then there will be twice as many pieces.
so you do:
6 x 2
= 12
Is 7n+6 equal to 13n?
Answers
Answer:
No
Step-by-step explanation:
Say n was equal to 2
7(2) + 6 =20
13(2) = 26
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
A would be the answer I would choose
What is the value of 4/15 ➗ 2/3?
Answers
Answer:
2/5, option 4.
Step-by-step explanation:
When you are dividing 2 fractions, the first fraction stays the same, and the 2nd fraction becomes the reciprocal, and the division sign becomes a multiplication sign.
The reciprocal of 2/3 is 3/2.
Now you need to change the division sign to a multiplication sign.
The equation will now become 4/15 x 3/2.
4 times 3 is 12, and 15 times 2 is 30.
12/30 isn't an option, so you will need to simplify.
Find a common factor, then divide.
6 is a common factor, so you divide both 12 and 30 by 6, to get 2 and 5.
2/5 is what you are left with.
Option 4.
4/15 divided by 2/3 is 2/5.
Answer:
hi
Step-by-step explanation:
[tex] \frac{4}{15} \div \frac{2}{3} = \frac{4}{15} \times \frac{3}{2} = \frac{2}{5} [/tex]
have a nice day
PLZ ANSWER THIS CORRECTLY FOR 100 POINTS AND BRANLIEST :DD
Answers
#x
2x+30+62=1802x+92=1802x=88x=44Angle 1
2(44)+3088+30118°Angle 2
62°(Opposite angles)Answer:
A) x = 44
B) m∠1 = 118°
m∠2 = 62°
Step-by-step explanation:
Part A
Angles on a straight line sum to 180°
⇒ (2x + 30) + 62 = 180
⇒ 2x + 30 + 62 = 180
⇒ 2x + 92 = 180
⇒ 2x = 88
⇒ x = 44
Part B
Vertical Angle Theorem: The opposite vertical angles of two straight intersecting lines are congruent.
⇒ m∠1 = (2x + 30)
Substituting the found value of x:
⇒ m∠1 = 2(44) + 30
⇒ m∠1 = 88 + 30
⇒ m∠1 = 118°
Using the Vertical Angle Theorem:
⇒ m∠2 = 62°
Please help! I need the right answer as soon as possible! PLEASE!
Answers
Answer:
Volume of the figure = 68 in.³
Step-by-step explanation:
The figure is composed of a rectangular prism and 2 equal triangular prism
Volume of the figure = volume of rectangular prism + 2(volume of triangular prism)
✔️Volume of triangular prism = L*W*H
L = 14 in.
W = 2 in.
H = 2 in.
Volume = 14*2*2 = 56 in.³
✔️Volume of triangular prism = ½*a*c*h
a = 3 in.
c = 2 in.
h = 2 in.
Volume = ½*3*2*2 = 6 in.³
✅Volume go the figure = 56 + 2(6) = 56 + 12
Volume of the figure = 68 in.³