A large cargo ship dropped anchor in the ocean. The anchor was released at a constant rate rate of speed from a height of 44 meters
Answers
Answer:
C and E
Step-by-step explanation:
The change in elevation was 44 + 20 = 64 m
the rate of fall was 64 m / 32 s = 2 m/s
The anchor reached the surface in 44 / 2 = 22 s so C is valid
E is correct as the ocean surface is origin and Up is the positive direction.
The anchor starts at 44 m above the surface and position is lower by 2 meters every second
From the question, the two correct options about the speed with which the anchor was released are:
Option COption EHow to solve for the solutionFirst we have to calculate the change that occurred in the elevation. Initially it was 44 meters but dropped 20 m below water.
44 + 20 = 64 meters
Next we calculate the rate with which the fall occurred
The time with which it fell was 32 seconds. = 64/32 = 2 meters pers second
44/2 = 22 hence it can be concluded that C is right.
Option E is also correct given that the water surface is above the ground and it is positive
Read more on distance here: https://brainly.com/question/2854969
Related Questions
The area of a square rug is 64 inches squared. What is the length of one side of the rug?
Answers
Answer: 8 inches long
Step-by-step explanation:
Note: I took the square root of 64 to get the answer. Each side is 8 inches long
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 20 miles per hour slower than the westbound train. If the two trains are 360 miles apart after 2 hours, what is the rate of the eastbound train?
Answers
Answer:
Westbound = x;
Eastbourne = x-20;
So they will have the common rate: 360/2 = 180;
x+x-20 = 180
2x = 200;
x = 100;
So Eastbourne will be 100-20 = 80 miles per an hour;
A plane flies 15 miles in 20 seconds. How long would it take the plane to cover 30 miles?
Answers
Answer:it would take the plane 40 seconds
Step-by-step explanation:
if you multiply by two then you would be able to get 30
like 15 times 2 and since it’s 15 miles to 20 seconds or 15:20 you would have to multiply by the same number.
Which line segments have a positive slope PLS FAST!! THANKS!!
Answers
a-b
it’s the ones where it’s pointing up to the right!
A surveyor is trying to find the height of a hill. He/she takes a ‘sight’ on the top of the hill and find that the angle of elevation is 40°. He/she move a distance of 150 metres on level ground directly away from the hill and takes a second ‘sight’. From this point, the angle of elevation is 22°. Find the height of the hill, correct to 1 d.p.
Answers
Answer:
The height of the hill is 116.9 meters.
Step-by-step explanation:
The diagram depicting this problem is drawn and attached below.
From Triangle ABC
\(\tan 22^\circ=\dfrac{h}{150+x}\\\\h=\tan 22^\circ(150+x)\)
From Triangle XBC
\(\tan 40^\circ =\dfrac{h}{x}\\\\h=x\tan 40^\circ\)
Therefore:
\(h=\tan 22^\circ(150+x)=x\tan 40^\circ\\150\tan 22^\circ+x\tan 22^\circ=x\tan 40^\circ\\x\tan 40^\circ-x\tan 22^\circ=150\tan 22^\circ\\x(\tan 40^\circ-\tan 22^\circ)=150\tan 22^\circ\\x=\dfrac{150\tan 22^\circ}{\tan 40^\circ-\tan 22^\circ} \\\\x=139.30\)
Therefore, the height of the hill
\(h=139.3\times \tan 40^\circ\\=116.9$ meters( correct to 1 d.p.)\)
The height of the hill is 116.9 meters.
The domain of a function f(x) is x 20, and the range is ys-1. What are the
domain and range of its inverse function, F1(x)?
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Domain :
\(x \leqslant - 1\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Range :
\(y \geqslant 0\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus the correct answer is (( B )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
In ΔFGH, h = 840 inches, � m∠F=93° and � m∠G=49°. Find the length of g, to the nearest 10th of an inch.
Answers
Let's use the formula:
g / sin(G) = h / sin(H)
Substituting the given values:
g / sin(49°) = 840 / sin(93°)
Now, we can solve for g. Rearranging the equation, we have:
g = (sin(49°) * 840) / sin(93°)
Using a calculator, we can evaluate this expression to find the approximate length of g.
g ≈ (0.7502 * 840) / 0.9998
g ≈ 630.168 / 0.9998
g ≈ 630.227
Therefore, the length of side g, rounded to the nearest tenth of an inch, is approximately 630.2 inches.
Choose the correct correspondence
C
R
S
T
Answers
Answer:
r
Step-by-step explanation: its r
Answer: T
Step-by-step explanation: triangle c <-> T triangle
stuff must be across from each other
Brian needs to paint a logo using two right triangles. The dimensions of the logo are shown below. What is the difference between the area of the large triangle and the area of the small triangle?
Answers
Answer:
7.5 cm²
Step-by-step explanation:
Dimensions of the large ∆:
\( base (b) = 3cm, height (h) = 9cm \)
\( Area = 0.5*b*h = 0.5*3*9 = 13.5 cm^2 \)
Dimensions of the small ∆:
\( base (b) = 2cm, height (h) = 6cm \)
\( Area = 0.5*b*h = 0.5*2*6 = 6 cm^2 \)
Difference between the area of the large and the small ∆ = 13.5 - 6 = 7.5 cm²
plsssssssssssssssss hellllllpppppppp!!!!
Answers
Answer:
WHAT?
Step-by-step explanation:
(Urgent please!!) Given the lines AB and CD, determine the slope of line CD. Type a numerical answer in the space provided. If necessary. Use the /key to represent a fraction bar. Do not put spaces in your answer
Answers
Answer:
-5/4
Step-by-step explanation:
C is at the point (2,3) and D is at the point (6,-2)
-2-3 = -5 which would be the top part and 6-2=4 and that's the bottom part.
The measured width of the office is 30mm. If the scale of 1: 800 is used, calculate the actual width of the building in metres
Answers
Answer:
Step-by-step explanation:
A car is driving away from El Paso with constant velocity. At 1 p.m., it is 145 miles away from El Paso. At 3 p.m., it is 275 miles away from El Paso.
Part A: Write a linear function that describes the distance (in miles) the car is from El Paso in terms of time (in hours after 12:00 p.m.).
Answers
The linear function that describes the distance (in miles) is therefore y = 65x + 80
How to solve for the linear functionWe have to find the slope and the intercept in other to get the linear function
The data points are:
(1, 145) and (3, 275).
m = (y2 - y1) / (x2 - x1)
fixing the data points we have
m = (275 - 145) / (3 - 1)
= 130 / 2
= 65
y = mx + b
(1, 145):
145 = 65(1) + b
b = 145 - 65
= 80
y intercept is 80
The linear function is therefore y = 65x + 80
Read more on linear function herehttps://brainly.com/question/15602982
#SPJ1
Desperate Need Of Help
Answers
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
Read more on domain here: brainly.com/question/9765637
#SPJ1
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Help me out hereeeeeeeeeeeeeeeeeeeee
Answers
Answer:
5/8 hope this helps
abcdef is a regular hexagon what is its perimeter what is its area
Answers
Answer:
p=36
a=3*\(\sqrt{3}\)*18
Step-by-step explanation:
p=sum of all sides
a=(3\(\sqrt{3}\)*\(s^{2}\))/2
Consider the following data representing the price of laptop computers (in dollars). 12041204, 12061206, 13451345, 13061306, 12071207, 10781078, 13571357, 12321232, 12281228, 13021302, 11891189, 11771177, 10831083, 10941094, 13261326, 10711071, 14271427, 13481348, 14201420, 12531253, 1270 Determine the frequency of the fifth class.
Answers
Answer:
Step-by-step explanation:
The given data is expressed as
1204, 1206, 1345, 1306, 1207, 1078, 1357, 1232, 1228, 1302, 1189, 1177, 1083, 1094, 1326, 1071, 1427, 1348, 1420, 1253, 1270
The number of items in the data, n is 21. The lowest value is 1071 while the highest value is 1427. The convenient starting point would be 1070.5 and the convenient ending point would be 1427.5
The number of class intervals is
√n = √21 = 4.5
Approximately 5
The width of each class interval is
(1427.5 - 1070.5)/5 = 72
The end of each class interval would be
1070.5 + 72 = 1142.5
1142.5 + 72 = 1214.5
1214.5 + 72 = 1286.5
1286.5 + 72 = 1358.5
1358.5 + 72 = 1430.5
The frequency for the fifth class, that is between 1358.5 to 1430.5 would be 2
The graph of the function B is shown below. If B(x) = -1, then what is x? -1 1 2 NEXT QUESTION
Answers
Answer:
x is -1/b yw
Step-by-step explanation:
Suppose there is a 1.2 Fahrenheit drop in temperature for every thousand feet that an airplane climbs into the sky if the temperature on the ground is 64.7 Fahrenheit what will the temperature be when the plane reaches an altitude of 5000 feet
Answers
9514 1404 393
Answer:
58.7 °F
Step-by-step explanation:
At 5000 feet, the airplane is 5 times 1000 feet above the ground, so the temperature will have dropped 5 times 1.2 °F.
64.7 - 5×1.2 = 64.7 -6.0 = 58.7
At 5000 feet, the temperature is 58.7 °F.
Which relation is a function?
Answers
The relation that is a function is D (see image below).
How to Determine if a Relation is a Function Using the Vertical Line Test?If any vertical line passes through more than one point on a graph, then the relation is not a function. Conversely, if every vertical line intersects the graph at most one point, then the relation is a function.
Applying the vertical line test, if we place a vertical line across each graph given, only the graph in option D (as shown in the image below) will have the the vertical line intersects it at most one point.
Therefore, the correct option is D. (see image below).
Learn more about function on:
https://brainly.com/question/10439235
#SPJ1
Given f(x) = x³ - 6x + k, and the remainder when f(x) is divided by x - 1 is 14, then what is the value of k?
Answers
Answer: 19
Step-by-step explanation: The best way is to set this up with synthetic division (as the attached image).
Hope this helps!
5. Slope is -1 and passes through the point (2,4)
Slope intercept form
Answers
Answer:
y = -x + 6
Step-by-step explanation:
Here we use the slope intercept form y = mx + b, substituting 2 for x, 4 for y and -1 for m:
4 = -1(2) + b, or
4 = -2 + b, or b = 6
Then the desired equation is
y = -x + 6
What is the range for this set of data?
7, 15, 12
3
5
8
1
Answers
Answer:
The range is (D) or '12'
Step-by-step explanation:
Can y’all help me on question 15?!
Answers
Answer:
297
Step-by-step explanation:
5.5x4.5x12=297
The length of a rectangular garden is two feet more than twice its width. If the perimeter is 40 feet, find the width.
Answers
Explanation-
P=2W+2L=2/W+L) = 40
2 (W+ L) = 40 Divide both sides by 2
W+L= 20
W=2+L/2
W+L= 20
2+1/2+1= 20
2+1/2+2112= 20
2 + 3 L/ 2 = 20 Subtract 2 to both sides
2+3112-2=20 -2
3 L/ 2 = 18 Multiply both sides by 3
3 L= 36 Divide both sides by 3
P=2L+2W formula for perimeter of a rectangle
40=2x+2[(x/2)+2]....substitute for "P, L, W"
=2x+x+4..............distribute 2 to each term in brackets
3x=36......................subtract 4 from each side, rewrite
∴ x=12.....................divide both sides by 3
∴ L=12 feet .............length is 12 feet
W=(12/2+2)
=6+2
∴ W=8 feet..............width is 8 feet
PLS QUICK How did the mountainous geography of Athens influence the economy?
The people of Athens mined gold for trade.
The people of Athens were unable to raise any crops.
The people of Athens focused on the military to protect their region.
The people of Athens relied on sea trade.
Answers
Option D. The mountainous geography of Athens influence the economy as The people of Athens relied on sea trade.
How did the terrain of Athens influence the economy ?Greece's rugged terrain caused some areas, particularly Athens, to become dependent on trade. Many Greeks went on to become seafaring tradesmen and merchants. Greeks engaged in trade with other Mediterranean people for pottery, wine, and olive oil. They communicated with the outside world by sailing to neighboring islands.
The geography of the area influenced the ancient Greeks' political system and way of life. Mountains, seas, and islands formed natural barriers between the Greek city-states, forcing the Greeks to relocate to coastal areas.
Read more on Athens here: https://brainly.com/question/15909150
#SPJ1
A box of granola bars measures 22 centimeters long by 5 centimeters wide by 15 centimeters high. A box of fruit bars measures 24 centimeters long by 3 centimeters wide by 26 centimeters high. Which box has the greater volume? How much greater?
Question content area bottom
Part 1
Select the correct choice below and fill in the answer box to complete your choice.
(Type a whole number.)
A.
The box of granola bars has a greater volume. It is
210 cubic centimeters greater than the fruit bars box.
B.
The box of fruit bars has a greater volume. It is
enter your response here cubic
Answers
Answer: The box of fruit bars. It is 76 cm greater.
Step-by-step explanation:
Find the area of this parallelogram.
6 cm
11 cm
Answers
Step-by-step explanation:
given,
base( b) = 6cm
height (h)= 11cm
now, area of parallelogram (a)= b×h
or, a = 6cm ×11cm
therefore the area of parallelogram (p) is 66cm^2.
hope it helps...
Find the value of the length
x
rounded to 1 DP.
Answers
The side x of the right angle triangle rounded to 1 decimal place is 3.2 meters.
How to find the side of a right triangle?Using trigonometric ratios, let's find the height of the triangle.
Therefore,
sin 31 = opposite / hypotenuse
sin 31° = h / 9
cross multiply
h = 9 sin 31°
h = 4.63534267419
Therefore,
tan 55 = opposite / adjacent
tan 55 = 4.63534267419 / x
x = 4.63534267419 / tan 55
x = 3.24579831933
x = 3.2 meters
learn more right triangle here: brainly.com/question/10341522
#SPJ1