Answer: 333.33km
Step-by-step explanation:
Average speed is calculated as:
= Distance / Time
Since Alex takes 30 minutes to travel 50 km in her car, Alex average speed will be:
= 50km / 30minutes
= 50km / 0.5hour
= 100km/hour
Since Alex drives at an average speed that is 2/5 of the average speed that Roy's train travels. Roy's average speed will be:
= 100 ÷ 2/5
= 100 × 5/2
= 250km/hour
Since Roy travels for 1 hour and 20 minutes on his train, his distance travelled will be:
= Speed × Time
= 250 × 1 hour 20 minutes
= 250 × 1 20/60
= 250 × 1 1/3
= 250 × 4/3
= 1000/3
= 333.33km
Roy travels 333.33km
A rowing team rowed 120 kilometers while going with the current in the same amount of time as it took to row 20 kilometers going against the current. The rate of the current was 10 kilometers per hour. Find the rate of the rowing team in still water.
Answer:
100/x+6=20/x-6
100x-600=20x+120
80x=720
x=9 miles an hour as the rowing teams' rate in still water
An 18-foot ladder is leaning against the side of a building such that its base makes an angle of 65º with the ground. How far from the side of the building, b, should the base of the ladder be placed? Round to the nearest tenth of a foot.
Hello!
This problem is about relating trigonometric values to an unknown side.
We are given an angle side, and we can determine that another angle made would be a 90 degree angle.
Meaning we could solve for the third unknown angle by knowing that the interior angles of a triangle add up to 180 degrees.
[tex]65+90+x+180[/tex]
[tex]x=180-90-65[/tex]
[tex]x=25[/tex]
After knowing this, we could use the law of sines, which states that the ratio of a side and the sin of its opposite angle are equal to any other ratio.
[tex]\frac{16}{sin(90)}=\frac{b}{sin(25)}[/tex]
[tex]b=16sin(25)[/tex]
Make sure to be in degrees when putting this in a calculator.
[tex]b=6.8[/tex]
Hope this helps!
In this diagram, ABAC – AEDF. If the area of ABAC = 24 in2, what is the area of AEDF? D À E 2 in F В 4 in С Area AEDF = [?] in2 please I need help
Answer: 6
Step-by-step explanation:
The area of the triangle EDF is 6 in².
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent, and their corresponding sides are in equal ratios.
Given that, two triangles are similar, ABC and EDF,
We know that, the area of two similar triangles implies that if two triangles are similar to each other, the ratio of their areas will be proportional to the square of their corresponding side ratios.
Therefore,
ar(ΔABC)/ar(ΔEDF) = (2/4)²
24/ar(ΔEDF) = 1/4
ar(ΔEDF) = 6
Hence, the area of the triangle EDF is 6 in².
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Very easy answer but does any one know what C is
Answer:
Step-by-step explanation:
they want you to recognize that it's a linear relationship
Which of the following scenarios is the best fit for the graph?
A. The value of a $100 stock grows in value by 10% each year.
B. The batting average of a baseball team increases by 50 points each year.
C. The population of a small town decreases by 10% each year.
D. A class's percent correct on a standardized Algebra I test increases after using a new software program.
Answer: A
Step-by-step explanation:
The correct option is A.
What is an exponential function?In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
Given is that a graph,
So, from the graph we can concluded that it is an exponential and positive function,
Therefore, as x increases y also increases.
We know that the exponential function is given by =
y = abˣ
So, when x = 0, y = 100,
100 = a × b⁰
a = 100
When x = 4, y = 150,
150 = 100 × b⁴
b⁴ = 1.5
b = 1.11
y = 100(1.11)ˣ
Change = 110-100 / 100 × 100% = 10%
Therefore, we can say the value of a $100 stock grows in value by 10% each year.
Hence the correct option is A.
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Which solid has the top, side, and front views given
please help me I’m
In an exam!
Answer:
I. most probably
Hope it helps!!!
Step-by-step explanation:
Part I
What is the area of the side yard?
Answer:
its 165 square feet
Step-by-step explanation:
i got the same question and that was the answer (:
If the number of bacteria in a colony doubles every 21 hours and there is currently a population of 150 bacteria, what will the population be 42 hours from now?
Answer:
450
Step-by-step explanation:
i think thats right
Easy points you know it’s easy points
Answer:
98 ft²
Step-by-step explanation:
Answer:
98 ft²
Step-by-step explanation:
Want points
PLEASE HELP MEEEEEE!!! BRAINLIEST WILL BE GIVEN! NO LINKS!
Answer:
Step-by-step explanation:
it's like this Loving , 62.90 / 330 = 0.1906...
so she paying about 19 cents per mile :)
can someone please help
find slope/rate of change
a. 1/3
b. 3
c. 30
d. 10
Find the slope of a line that passes through the given pair of points: (-3 , -1) and ( 2 , -1) .
Answer:
m=0
Step-by-step explanation:
m=y2-y1/x2-x1
m=-1-(-1)/2-(-3)
m=-1+1/2+3
m=0/5
m=0
Help with this pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeease lol
Answer:
6- D
4- A
3- A
Step-by-step explanation:
Answer:
6. = D
4. = A
Step-by-step explanation:
6. 2(2.5)= 5
4(2.5)= 10
6(2.5) =15
9(2.5) is not 21 its 22.5
4. 125÷5 = 25
The box and whisker plots represent the number of minutes spent by users on two different social media groups. Which THREE statements are correct when comparing the plots?
A) The median time for users of Group B is 40 minutes.
B) Group B has greater median value than Group A.
C) The data for Group B varies slightly more than Group A.
D) The spread of the data for Group A is 25 minutes.
E) The spread of the data for Group A is 40 minutes.
Answer:
A, C, and D
Step-by-step explanation:
What is the base, perimeter of base, and height of this figure? No links pls or I will report u!
find the value of y. 120° y = ?°
Answer:
240
Step-by-step explanation:
360 minus 120 degree give 240 degree
Answer: 60
Step-by-step explanation:
120/2= 60
i need help with thil real quick please
Answer:
AED 18.85
Step-by-step explanation:
Given that:
Radius, r = 1cm
Length = height, h = 12
Cost per cm³ = AED0.50
VOLUME OF CYLINDER = pi * r² * h
Volume = 3.14 * 1² * 12
Volume = 37.699 cm³
Cost per cm³ = AED 0.5
TOTAL COST :
AED 0.5 * 37.699
= AED 18.849
= AED 18.85
can someone help with this (please) :D
Answer:
i think the answer to this question is 2.461
Step-by-step explanation:
For a semicircle, the total perimeter includes half of the circumference + the diameter.
The half circumference is given by 2 pi r / 2
So the perimeter of 19.02 = 2pi r/ 2 + 2r
A cylinder has a height of 4 inches and a diameter of 18 inches. Which equation can be used to find the total surface area of the cylinder in square inches?
A-S=2π(9) + π(9)´2
B-S=π(9)´2 (4)
C-S=2π(9)(4) + 2π(9)´2
D-S=π(9)(4) + π(9)´2
The equation to find the total surface area of the cylinder is S = 2π(9)(h) + 2π(9)².
As per the question, the diameter of the cylinder is given as 18 inches, so we can calculate the radius (r) by dividing the diameter by 2:
r = 18 inches / 2 = 9 inches
The height of the cylinder is given as 4 inches.
To find the total surface area of a cylinder, we can use the following equation:
Total Surface Area = 2πrh + 2πr²
Now we can substitute the values into the equation to find the total surface area:
S = 2π(9)(h) + 2π(9)²
Therefore, the required equation is S = 2π(9)(h) + 2π(9)².
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1. The range of guest on New Year's Eve was 15>
2. About 50% of Thanksgiving dinners had 17 or more people.
3. Everyone had at least one guest over for dinner at Thanksgiving.
4. The IQR of Thanksgiving dinner was 20.
5. The median number of people at New Years' Eve dinner was 15.
6. Three-fourths of New Years' Eve dinners had five or more people.
Answer:
1.False
2. True
3.) True
4. False
5.) False
6.) True
Step-by-step explanation:
1.)
Range = maximum - minimum
New year's eve :
Maximum = 22 ; minimum = 3
Range = 22 - 3 = 19
2.)
Median for Thanksgiving = 17
50% up to 17 ;hence the remaining 50% is also 17 and above
4.)
IQR for Thanksgiving
Q3 - Q1
23 - 12 = 11
5.)
The median number of people at new year's eve for dinner was 7 (line in between the box)
6.)
3/4th of new year eve's dinner = Q3 = 15
1/4 = Q1 ; have up to 5 people
Therefore ; the remaining (1 - 1/4) = 3/4 have 5 and above
Answer:
1.False
2. True
3.) True
4. False
5.) False
6.) True
Step-by-step explanation:
help asap pls, thank u
Answer:
1243.4 [tex]cm^{3}[/tex]
Step-by-step explanation:
A large clock on a county courthouse has a circumference of about 25 feet. The minute hand extends from the center of the clock to the edge of the clock. How long is the minute hand?
Answer:
Minute hand = 3.98 feet
Step-by-step explanation:
Circumference of a circle can be calculated by
C = 2 x pi x radius
The minute hand extends from center to the edge means that minute hand is the radius and that is required.
putting values in above equation
C = 25 and pi = 3.14
25 = 2 x 3.14 x radius
radius = 25 / 6.28
Radius = 3.98 feet
A chocolate company makes dark chocolate bars. The quality control department of the company has found that the weights of the chocolate bars follow a normal distribution, with a mean of 85 grams and standard deviation of 1.2 grams. To ensure a consistent product, the company has a policy to reject any chocolate bars weighing less than 82.6 grams or more than 87.4 grams. Approximately what percent of chocolate bars are rejected?
a. 0.12%
b. 0.15%
c. 0.30%
d. 2.50%
e. 5.00%
19. What is the solution to 5.2x = 31.2? *
Answer:
x=6
Step-by-step explanation:
hope this helps
20 points
14 The base of a rectangular prism has a length of 15 inches and a width of 13 inches.
What is the area of this base of the prism in square inches?
Record your answer and fill in the bubbles on your answer document. Be sure to use
the correct place value.
195 square inches
28 square inches
56 square inches
Answer:
195 sq. in.
Step-by-step explanation:
area = length * width
area = 15 in. * 13 in. = 195 sq. in.
Please answer correctly! I will mark you as Brainliest!
Answer:
i got 616 for the answer good luck!!
Step-by-step explanation:
Answer:
B.) 205.3³
Step-by-step explanation:
Volume = (length·width·height) divided by 3
⬇
V = (lwh)/3
⬇
V = (11·7·8)/3 ≈ 205.33333
⬇
205.3³
Which 2 coins equals 30 cents when one is not a nickel?
Answer:
nickel and a quarter
Step-by-step explanation:
One is a nickel, the other is NOT a nickel... it is a quarter.
A ladder is placed 5ft away from a house. The ladder comes up to 12ft on the
side of the house. How long is the ladder?
Answer:
c = 13
Step-by-step explanation:
a² + b² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
√169= √c²
13 = c
What does the variable r represent in the equation 10r+4=8?
what does r represent in it?????
URGENTTTT
A park charges $13 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $43 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?
Answer:
Reduced fee for each additional round will be $5.
Step-by-step explanation:
Let the reduced fee for each additional round played = $x
Charges for one round = $13
If Tom played for 6 rounds, total charges for the 6 rounds = 13 + 6x
Since, Tom paid $43 for 6 rounds,
13 + 6x = 43
6x = 43 - 13
6x = 30
x = 5
Therefore, reduced fee for each round will be $5.