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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

Answer: n=3/11

Step-by-step explanation:

1. You want to simplify both sides of the equation.

2n+3/4n=3/4.

(2n+3/4n)=3/4 (combine like terms).

11/4n=3/4.

2. Multiply both sides using 4/11.

(4/11)x(11/4n)=(4/11)x(3/4)

3. You get your answer which is n=3/11.

Hoped I help :)

Answer:

Georgio has to earn $1,800 and borrow $2,700.

Answer: 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744

Step-by-step explanation: The terms are the cubes of the numbers 1, 2, 3, 4, 5...

Answer:

The number will decrease in value

Step-by-step explanation: For example if we had 638.23 if I move the decimal to the left 3 times it would be .63823, and if we add zeros it would look like this, 0.63823 so the number would decrease in value

Answer:

x = 2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + x² = (2[tex]\sqrt{2}[/tex] )² , that is

2x² = 8 ( divide both sides by 2 )

x² = 4 ( take the square root of both sides )

x = [tex]\sqrt{4}[/tex] = 2

Answer:

3. Likely

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

the height of the person is y = 6 and the distance from the ladder is also 6 = x. To find the angle formed by the ladder we use [tex]arctan(\frac{y}{x})[/tex] which in this case is

[tex]arctan\frac{6}{6} = arctan(1)\\= 45 degrees[/tex]

now we know that the person is 9 feet away from wall and 6 feet away from the ladder so the total x distance is 9+6 = 15 = x

to find y we use tan(45) = [tex]\frac{y}{x}[/tex]

multiply both sides by x = 15 and simplify to get y = 15

Answer:

if simplest form by you mean fraction then the answer is 2/5

hope this is the answer you are looking for

Step-by-step explanation:

Answer:

Step-by-step explanation:

An arithmetic sequence is when the difference of the terms is same

F)2, 5, 9, 14, ...

5 ≠ 4 ≠ 3, no

G)100, 50, 12.5, 1.6, ...

-10.9 ≠ -37.5 ≠ -50, no

H)3, 10, 17, 24,...

7 is the common difference, yes

j) -2,-1,-1/2,-1/4

1/4 ≠ 1/2 ≠ 1, no

Answer:

The slope of the line is 2/3

Answer: 1.5

Step-by-step explanation:

I plugged it in STAT, but you can do rise over run, or use the formula, y2-y2/x2-x1

Answer:

B. Ten less than five times a number is greater than twenty-six.

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

n > 36 /5

Interval Notation:

( 36 /5 , ∞ )

Answer:

Slope is -5/3

Step-by-step explanation: when you look at the graph, the line is descending meaning it will be a negative, so we can eliminate the answers that are positive leaving us with 2 options. Then we have to do rise/run, you figure that out by counting how many points the line goes up and to the right or left, and intersects with the line

Answer:

No a triangle CAN’T have 2 obtuse angles. I dont know about the drop down menus since I can’t see the choices but there can’t be 2 obtuse angles in a triangle. I can guess two of them anyway

The second drop down one is “greater”

The last option is 180

Im not sure about he first since dropdowns aren’t presented

Answer:

child = $14

senior = $8

Step-by-step explanation:

3s + c = 38

3s + 2c = 52

52 - 38 = 14

child = $14

3s + 14 = 38

3s = 24

divide by 3

senior = $8

Answer:

not sure search it up

Step-by-step explanation:

Answer:

33ft²

Step-by-step explanation:

b= base (3)

l= slant height (4)

Surface area = b²+2bl

=3²+2(3)(4)

=9+2(12)

=33

Answer:

divide the figure into two parts.

area of square = side²

area of square =12²

area of square =144

area pf trapezium =1/2×(a+b)×h

area of trapezium =1/2×(12+6)×12

area of trapezium =108

area of polygon=144+108=252 unit²

Answer:

F

Step-by-step explanation:

1(10) + 12= 22

2(10) + 12= 32

etc.....

Answer:

I. Length = 600 meters

II. Width = 30 meters

Step-by-step explanation:

Given the following data;

Length = 120m

Width = 6m

Drawing scale = 1:5

To find the length and width using the given drawing scale;

This ultimately implies that, with this drawing scale, the length and width of the rectangle would increase by a factor of 5 (multiplied by 5) i.e the rectangle is 5 times bigger in real-life than on the diagram.

For the length;

120 * 5 = 600 meters

For the width;

6 * 5 = 30 meters

Therefore, the dimensions of the rectangle using the given drawing scale is 600 meters by 30 meters.

Answer:

Step-by-step explanation:

I don’t know

We want to find the opening price of the stock in the beginning of the day. We will find that the solution is $89.50.

Let's say that the opening price of the stock was X.

Then, it is increased 6% to get to $94.87

This means that the 106% of X is equal to $94.87, then we can solve:

1.06*X = $94.87

Where we wrote 106% in decimal form, now we can just solve this for X:

X  = $94.87/1.06 = $89.50

This means that the price of the stock in the beginning of the day was $89.50

If you want to learn more about percentages, you can read:

https://brainly.com/question/843074

Answer:

I got 9.03

Step-by-step explanation:

the formula is V=pir2h

(pi, radius squared, and height)

The volume, in cubic inches, of the cylinder will be   [tex]\frac{990}{7}[/tex]  or [tex]45\pi[/tex] cubic inches.

Cylinder is a [tex]3D[/tex] solid shape which holds two parallel bases joined by a curved surface, at a fixed distance. These bases are circular in shape and the center of the two bases are joined by a line segment.

Volume is define as capacity of cylinder.

Volume of cylinder [tex]=\pi r^{2} h[/tex]

We have,

Radius [tex]=3[/tex] inches

Height [tex]=5[/tex] inches,

Then,

Volume of cylinder [tex]=\pi r^{2} h[/tex]

                              [tex]=\frac{22}{7} *(3)^{2} *5[/tex]

                               [tex]=\frac{990}{7}[/tex]  or [tex]45\pi[/tex] cubic inches

Hence, we can say that The volume, in cubic inches, of the cylinder will be     [tex]\frac{990}{7}[/tex]  or [tex]45\pi[/tex] cubic inches

To know more about volume click here

https://brainly.com/question/1578538

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Answer:

The answer is A. (an even number)

Step-by-step explanation:

2 x 27 is equivalent to 54 and 54 is an even number.

Answer:

2/5

Step-by-step explanation:

Since 4 out of 10 students are juniors, you can express this with the fraction 4/10. 4/10 can then be simplified to 2/5.

Answer:

i got 54ft^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Sure! A common fraction would be 7/10, because it is the simplest form that we can have of .7 in a fraction form.

Answer:

The initial value, b = $3.50 is the skate rental fee

The rate of change, 'm' is $3.0 is the hourly rate charged by the roller skating rink

Step-by-step explanation:

From the question we have;

The charges of the roller skating rink = A skate rental fee + An hourly rate

The total cost to skate for 2 hours = $9.50

The total cost to skate for 5 hours = $18.50

The relationship between the total cost of skating and the duration in hours = Linear relationship

Let 'x' represent the number of hours skating and let 'y' represent the total cost, we have;

The form of the equation is y = m·x + b

Where;

m = The rate of change of the linear relationship

b = The initial value (y-intercept)

When x = 2, y = 9.50

Therefore, we can write;

9.50 = 2·m + b...(1)

When x = 5, y = 18.50

Therefore, we can write;

18.50 = 5·m + b...(2)

Subtracting equation (1) from equation (2) gives;

18.50 - 9.50 = 5·m - 2·m + b - b = 3·m

9.0 = 3 × m

∴ m = 9.0/3 = 3.0

The rate of change, m = 3.0

Similarly, we have;

From equation (1), we get;

9.50 = 2·m + b = 2 × 3.0 + b = 6.0 + b

9.50 = 6.0 + b

∴ b = 9.50 - 6.0 = 3.50

The initial value = 3.50

Therefore, the initial value, b = $3.50 is the skate rental fee while rate of change m = $3.0 is the hourly rate the rate.