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fiasKO [112]
1 year ago
6

4. A cruise ship travels in the direction of 55degrees for 40 miles, then changes course to a direction of 100 degrees for 35 mi

les. Find the distance of the ship from its original position.
Mathematics
1 answer:
olga2289 [7]1 year ago
8 0

Answer:

69.3 mi

Step-by-step explanation:

Let x represent the distance of the ship from its original position.

x²= 40² + 35² -2(40)(35)cos(135)

x^{2} =4804.9

\sqrt{x} ^{2}  = \sqrt{4804.9}

x= 69.3 mi

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I’ll mark u brilliant pls hurry A factory produces 450 cans of tomatoes every half hour.
anastassius [24]

Answer:

Do poppy and then eat it with your mouth and then put it in your back

Step-by-step explanation

6 0
2 years ago
Use the table and the data provided to analyze the following data. During gym class, the pulse rate was recorded for 19 students
nexus9112 [7]

Answer:

Part A

Please see attached the required stem and leaf plot

For the stem and leaf plot, the nonsplit system is used because of clarity for analysis

Part B:

From the shape of the stem and leaf plot we have that there is an average increase of pulse rate of 20 pulses in all the 19 students after the exercise

The shape of the plot is relatively the same for the before and after exercise save for the decrease in the third to the last row by one and the increase in the second to the last roe by one student

The spread remained relatively constant in both cases with the most being in the 60s range having 7 students in the before exercise and the 80s range having 8 students in the after exercise leaf plot.

Step-by-step explanation:

The given data are;

67{}                                    87

67{}                                    88

67 {}                                   89

68 {}                                   89

71 {}                                    91

72                                   93

72                                   93

75                                   95

77                                   96

77                                   97

79                                   98

81                                    98

85                                   101

87                                   105

87                                   105

91                                    119

97                                   125

103                                  125

121                                  147

3 0
2 years ago
Scott likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 858585 minutes. He want
aleksandrvk [35]

Answer:

<em>Scott will take 221 minutes to run 52 km</em>

Step-by-step explanation:

<u>Speed</u>

The speed of an object can be calculated with the formula:

\displaystyle v=\frac{d}{t}

Where d is the distance traveled and t is the time taken.

Scott can run d=20 km in 85 minutes. Thus, his speed is:

\displaystyle v=\frac{20}{85}\ km/min

Now he wants to know how many minutes it will take him to run d=52 km. Solving the formula for t:

\displaystyle t=\frac{d}{v}

Since the speed has been already determined:

\displaystyle t=\frac{52}{\frac{20}{85}}

Multiplying by the reciprocal of the denominator:

\displaystyle t=52*\frac{85}{20}

t = 221 min

Scott will take 221 minutes to run 52 km

4 0
1 year ago
Read 2 more answers
100 POINTS AND BRAINLIYEST!!!
Helga [31]

See explanations below

Step-by-step explanation:

Chanel

(i) 90° counterclockwise and then dilation by a factor of 1/2

Trapezoid PQRS is given as :

P(6,-4) -------P'(4,6)

Q(2,-2)------Q'(2,2)

R(2,-6)-------R'(6,2)

S(6,-6)-------S'(6,6)

The transformation switches the position of (x,y) to and adds a -ve sign to the original y value

B. The new coordinates are : P'(4,6), Q'(2,2),R'(6,2) and S'(6,6)

The  rule for rotation 90° counterclockwise about the origin is (x,y)⇒(-y,x)

The rule for dilation with scale factor of 1/2 is (x,y)------(1/2x,1/2y)

P'(4,6) -----P''(2,3)

Q'(2,2)-----Q''(1,1)

R'(6,2)-----R''(3,1)

S'( 6,6)-----S''(3,3)

The dilation reduces the coordinates by 1/2

Preston

E. (i)Reflection over x-axis where the rule is : (x,y)----(x,-y)

(ii)Dilation by scale factor of 1/2 the rule is : (x,y)---(1/2x, 1/2y)

Applying reflection over x-axis rule;

P(6,-4) -----P'(6,4)

Q(2,-2)-----Q'(2,2)

R(2,-6)------R'(2,6)

S(6,-6)------S'(6,6)

The coordinates have changed in that a negative sign is added to the y-axis coordinate.

F. P'(6,4), Q'(2,2), R'(2,6) and S'(6,6)

G. Applying the dilation by scale factor of 1/2

P'(6,4)-------P''(3,2)

Q'(2,2)------Q''(1,1)

R'(2,6)------R''(1,3)

S'(6,6)------S''(3,3)

The coordinates of P'Q'R'S are divide by 2 to give coordinates of P''Q''R''S''

Comparing the answers to the final figure given

K(3,2)

L(1,1)

M(1,3)

N(3,3)

Preston is correct because his sequence proves trapezoid PQRS is similar to trapezoid KLMN.

Learn More

Reflection and dilation :brainly.com/question/13408902

Keywords :trapezoid, maps, rotate, counterclockwise, dilate,reflect,scale factor,shape, coordinate

#LearnwithBrainly

4 0
2 years ago
Read 2 more answers
The bacteria took 1 hour and 40 minutes to fill the initial
Zarrin [17]

Answer: if i can be brainliest that would be great

Bacteria growth occurs exponentially; bacteria divides into 2 every t minutes (similar to the penny doubling every day story). If one gets filled, and the contents divides once, there will be enough for 2 bottles; when these two are ready to divide, there will be enough for 4. This growth process begins very slowly - 1, 2, 4, 8, 16, 32; but it soon speeds up greatly, 64, 128, 256, 512, 1024, 2048.

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2 years ago
Read 2 more answers
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