A rail track is composed by multiple lines, however all the lines are in the same plane, hence a plane is the best geometric model for the rail track.
How to obtain the supplement of an angle?Two angles are supplementary if the sum of their measures is of 180º, hence the supplement of an angle is obtained subtracting 180º by the angle measure.
This means that the supplement of ABC = 82º is given as follows:
180º - 82º = 98º.
How to obtain the complement of an angle?Two angles are complementary if the sum of their measures is of 90º, hence the complement of an angle is obtained subtracting 90º by the angle measure.
This means that the supplement of ABC = 90º is given as follows:
90º - 32º = 58º.
Where do two lines intersect?Two lines intersect at a single point, which is the solution to the system of equations involving the two lines.
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A passenger elevator in the Sears Tower in Chicago can lift people 960 feet in 1 minute and 30 seconds. How fast must the freight elevator be traveling if it lifts cargo the same height but in 2 minutes and 30 seconds? [
D=rt
D=rt
]
Pilihan jawaban
6.4 feet per second
10.7 feet per second
19.2 feet per second
38.4 feet per second
If the freight elevator lifts goods the same height in 2 minutes and 30 seconds, it will travel at a pace of 6.4 feet per second.
What is speed?Speed is the pace at which an item moves along a route in time, whereas velocity is the rate and direction of movement. In other words, velocity is a vector, whereas speed is a scalar number. The sign for speed is v (italic), whereas the symbol for velocity is v. (boldface). A bar is placed over the symbol to represent average values. Speed is defined as the rate at which distance changes over time. It has a distance by time dimension. Thus, the SI unit of speed is defined as a combination of the fundamental units of distance and time. As a result, the SI unit of speed is the metre per second.
Here,
Given that a passenger elevator in the sears tower in Chicago can lift people 960 feet in 1 minute and 30 seconds (1.5 minutes). This means that the lift is travelling with a speed of:
=960/1.5
=640 ft/min
If the elevator lifts cargo through the same height in 2 minutes and 30 seconds (2.5 minutes), then the speed is given by:
=640/2.5
=384 ft/min
=384/60
=6.4 ft/second
The freight elevator be traveling at the speed of 6.4 ft/second if it lifts cargo the same height but in 2 minutes and 30 seconds.
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The diameters of the top and bottom of a frustum of a cone are 6cm and
15cm respectively. If the height of the frustum is 30cm, calculate (i) the
curved surface area (ii) the volume of the frustum.
Curved surface area of frustum is 1000.82 cm² and
Volume of frustum is 2756.754 cm³.
What is a conical frustum?Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum.
Frustum is a Latin word which means ‘piece cut off’. When a solid (generally a cone or a pyramid) is cut in such a manner that base of the solid and the plane cutting the solid are parallel to each other, part of solid which remains between the parallel cutting plane and the base is known as frustum of that solid.
Height of frustum = h = 30 cm
Diameter of top of frustum = 6 cm
Radius of top = R = 6/2 = 3cm
Diameter of bottom of frustum = 15 cm
Radius of bottom = r = 15/2 = 7.5 cm
Slant Height = l = √h²+ (r - R)²
⇒ l = √30² + (7.5 - 3)²
⇒ l = √900 + 20.25 = √920.25 = 30.34 cm
A) Curved surface area of frustum = π(r + R)l
= 3.1416 × (7.5+3) × 30.34
= 3.1416 × (10.5) × 30.34
Curved surface area of frustum = 1000.82 cm²
B) Volume of frustum = (πh/3)(r²+R²+r.R)
= (3.1416 × 30/3)(7.5² + 3² + 7.5×3)
= (31.416) × (56.25 + 9 + 22.5)
= 31.416 × 87.75
Volume of frustum = 2756.754 cm³
Hence, the curved surface area and volume of given conical frustum are 1000.82 cm² and 2756.754 cm³ respectively.
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One of the angles of a triangle is equal to the sum of the other two. If the ratio of the
other two angles is 2:3, then the angles are ______________.
Answer:
the correct answer is 60° and 30°( for the two angles that have the ratio 2:3)
The other angle will be 90°
The number of girls in chorus is 5 more than 3 times the number of boys *
there are 29 girls in the school chorus, how many boys are in chones?
Please answer asappp
A rectangular patio has a volume of 360 cubic feet. If the width is 8 feet and the length is 15 feet, what is the height of the patio stones?
Answer:
3 feet
Step-by-step explanation:
Volume of a rectangular object = length x width x height
360 = 8 x 15 x height
360 = 120 x height
height = 360 / 120
height = 3ft
SOMEBODY PLEASE GIVE ME THE ANSWERS! I AM GIVING AWAY A LOT OF POINTS!
Answer:
nice to see you again
Step-by-step explanation:
14.) 20
15) 16
16) true
Answer:
20, 16, true
Step-by-step explanation:
The input is the number of rides, or the x-coordinate. The output is the dollars remaining on card, or the y-coordinate. We know this because the number of rides dictates how much money is on the card.
14. The question is asking for the output when the input is ten. Thus, we need to find the y-coordinate on the line when the x-coordinate is 10. We see that (10,20) is on the line, so then our output (or y-coordinate) is 20.
15. The question is asking for the input when the output is five. Thus, we need to find the x-coordinate on the line when the y-coordinate is 5. We see that (16,5) is on the line, so then our input (or x-coordinate) is 16.
16. 7 rides is the x-coordinate, and 27.50 is the cost, or the y-coordinate. However, this is true because even though the y-coordinate is NOT the cost of the rides, but the amount of money remaining on the card AFTER the rides are cashed in, 27.50 is half of 45 dollars, so then if 27.50 is spent on the rides, there will still be 27.50 left over on the card. Thus, it is true.
what is 28=-k+16-2k-9
Answer:
k = -7
Step-by-step explanation:
Let's put the side with the variables on the left.
-k+16-2k-9=28
Now we need to isolate the variable, which is k in this case.
>> Isolating the variable <<Step 1: Simplify as much as you can.-k+16-2k-9=28
-k-2k+16-9=28
-3k+7=28
Step 2: Subtract 6 from both sides(-3k+5) -7 = 28 -7
-3k = 21
Step 3: divide both sides by -3k = -21/3
That's your answer:
k = -7
Eginning at 15,000 feet, a commercial jetliner begins climbing at a rate (in feet per minute) given by f(t)=e0.4t+8 f ( t ) = e 0.4 t + 8 with 0≤t≤20 0 ≤ t ≤ 20 where t t is the time in minutes since the aircraft began climbing. Use the Net Change Theorem to determine the aircraft's elevation after climbing for 15 15 minutes. Round the answer to the nearest foot.
Answer:
16,126 ft
Step-by-step explanation:
Using the net change theorem and letting s(t) represent the aircraft's position, and s(0) be the aircraft's position at time t = 0, s(0) = 15000 ft and s(15 be the aircraft's position at time, t = 15 minutes respectively, then,
s(15) - s(0) = ∫₀¹⁵f(t)dt
s(15) - s(0) = ∫₀¹⁵[[tex]e^{0.4t} + 8[/tex]]dt
s(15) - 15000 = [[tex]\frac{e^{0.4t}}{0.4} + 8t[/tex]]₀¹⁵
s(15) - 15,000 ft = [tex]\frac{e^{0.4X15}}{0.4} + 8X15 - \frac{e^{0.4 X 0}}{0.4} + 8(0)\\\frac{e^{6}}{0.4} + 120 - \frac{e^{0}}{0.4} + 0\\\frac{403.43}{0.4} + 120 - \frac{1}{0.4} + 0\\1008.57 + 120 - 2.5\\1126.07[/tex]
s(15) = 15,000 ft + 1126.07 ft
s(15) = 16,126.07 ft
s(15) ≅ 16,126 ft to the nearest foot
HEEEEELLLLPPPPPPPPPP!!!!!!!!!
Answer:
The answer is A
Step-by-step explanation:
Find the area of the polygon.
6 cm
20 cm
30 cm
5 cm
40 cm
The area of the polygon is
Y
Answer:
820 [tex]m^{2}[/tex]
Step-by-step explanation:
Please help me with either 2 or 3, which ever one you would rather do.
Answer:
send the picture clearly i will help uou surely
(Ignore the kitty) plz help
Answer:
subtraction because 10 - 2 = 8
Step-by-step explanation:
oml i used to have that cat btw and then my school blocked it </3
Someone please help!!! This is due tonight!! I’ll give brainliest
Answer:
($0.5 x 2) + ($1.25 x 3) + ($0.75 x 3) = $7
Answer: ($0.5*2) + ($1.25*3) + ($0.75*3) = $7
Step-by-step explanation: Since Laurie orders 2 fruit, 3 drinks, and 3 popcorn, we multiply the cost of each item by the number of items purchased.
For example, one fruit costs $.50. Since Laurie orders 2 fruits, we multiply .50 by 2, to get $1.
For future reference, the equation representing this problem would be
.50f+.75p+1.25d=c(total cost).
Ben Nevis has a height of approximately 1300 metres above sea level.
Assuming that temperature decreases by 1°C for every 100 metres above
sea level, work out the temperature at the summit of Ben Nevis when the
sea level temperature is 5°C.
The temperature at the summit of Ben Nevis, when the sea level temperature is 5°C is -15°C.
To work out the temperature at the summit of Ben Nevis, we can use the formula:
Temperature at summit = Sea level temperature - (Altitude above sea level / 100) ×Temperature change per 100 metres
We are given that the sea level temperature is 5°C and the height of Ben Nevis is 1300 metres above sea level, and the temperature decreases by 1°C for every 100 metres above sea level.
So, after putting the values into the formula:
Temperature at summit = 5 - (1300/100) × 1 = -15°C
Therefore, the temperature at the summit of Ben Nevis, when the sea level temperature is 5°C is -15°C
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Solve this problem?
step by step
Answer:
[tex]x = \sqrt{87}[/tex]
Step-by-step explanation:
So, we need to use a bit of an unorthodox method here. We will use the Pythagorean theorem to find x. We will first start by finding out what all of our sides are. In the theorem, it's [tex]a^{2} + b^{2} = c^{2}[/tex] . We know that the b is x, and the c is 16, but we need to know what a is. a is not 18. We need to find the distance starting at the right triangle. To do that, we must subtract 5 from 18, giving us 13. So, we have:
[tex]13^{2} + x^{2} = 16^{2}[/tex]
Now, we will simplify the equations:
[tex]169 + x^{2} = 256[/tex]
Then, we will subtract 169 from both sides, giving us:
[tex]x^{2} = 87[/tex]
Square rooting both sides gives us:
[tex]x = \sqrt{87}[/tex]
And we cannot simplify further because 87's prime factorization doesn't let it have any ways to get out of the square root.
Hope this helped
Need help with school
Answer:
x=6°
Step-by-step explanation:
The value of x is 6°.
What is the distributive property of 8×32 and 4×574
WILL GIVE BRAINLY 50 PTS
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A.
It is the graph of f(x) translated 11 units to the left.
B.
It is the graph of f(x) where the slope is increased by 11.
C.
It is the graph of f(x) translated 11 units to the right.
D.
It is the graph of f(x) translated 11 units up.
Answer:
It's A 100% I got it right!!
Step-by-step explanation:
in a box full of oranges, apples, and pears in a ratio 2:5:6. What is the total weight of the fruits in the box if it was known that there is 4.8 lbs of oranges in the box?
Answer:
31.2 lbs
Step-by-step explanation:
Let 2x = weight of oranges
5x = weight of apples
6x = weight of pears
2x + 5x + 6x = total weight
2x = 4.8
x = 2.4
4.8 + 5(2.4) + 6(2.4) = 4.8 + 12 + 14.4
= 31.2 lbs
Work with a partner. Every equation that has an unknown variable can be written as a question. Choose the question that represents the equation. Then answer the question.
$x\div5=3$
Responses
Answer:
x + 5 = 10
Step-by-step explanation:
I don't know how to do these
Answer:
1. Below 2. B. d = 8h
Step-by-step explanation:
The graph is a bit confusing. But basically, substitute x for the numbers they give you.
5x
5 · 1 = 5 = y
5 · 2 = 10 = y
5 · 3 = 15 = y
5 · 4 = 20 = y
7x
7 · 1 = 7 = y
7 · 2 = 14 = y
7 · 3 = 21 = y
7 · 4 = 28 = y
Answer:
okay just follow everything under here!
Step-by-step explanation:
so y = 5x right? so on the chart, it goes from 1-4. x is those numbers. so in the second column, you see 5x. so you would multiply 5 x __ whatever the number is. so this would be column 2.
5x1
5x2
5x3
5x4
and then the second column is 5, 10, 15, 20
then you do the same thing with the second one.
7x1
7x2
7x3
7x4
then Y would be 7, 14, 21, 28
then number 3, it would be B. 8h = d
8 x h (hours) = 8h which would = d (amount made)
i hope this helped! good luck!
HELP DUE IN 15 MINS!
Assume that any lines that appear to be tangent are tangent.
x=??
Answer:
x = 156
Step-by-step explanation:
Yes. The comment was correct.
The central angle and the Arc measurement are the same amount (in degrees)
So The entire circle is 360 degrees.
Answer = 360 - the two central angles.
Answer = 360 - 65 - 139
Answer = 360 - 204
Answer = 156
What are the first three terms of a geometric sequence in which a5 = 25 and the common ratio is 5?
1
1 1
25'5'
25,125,625
1 1 1
25' 125'625
125, 25, 5
Answer: First three terms are 1/25, 1/5, and 1 in that order.
===========================================================
Explanation:
The fifth term is 25, which makes the fourth term to be 25*(1/5) = 5. We multiply any term by the reciprocal of the common ratio to move back to the previous term.
The third term is 5*(1/5) = 1. The second term is 1*(1/5) = 1/5. The first term is (1/5)*(1/5) = 1/25
Therefore, the first five terms are:
1/25, 1/5, 1, 5, 25
As we move from left to right, we multiply each term by 5. Going in reverse, we multiply by 1/5.
The first three terms of the sequence are 0.04, 0.2, and 1.0.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
We have,
To find the first three terms of a geometric sequence, we need to use the formula for the nth term of a geometric sequence:
[tex]a_n = a_1 \times r^{n-1}[/tex]
where [tex]a_n[/tex] is the nth term of the sequence, [tex]a_1[/tex] is the first term, r is the common ratio, and n is the number of the term we want to find.
We are given that,
[tex]a_5[/tex] = 25 and r = 5.
We can use this information to find [tex]a_1[/tex]:
[tex]a_5 = a_1 \times r^{5-1}[/tex]
[tex]25 = a_1 \times 5^4[/tex]
25 = [tex]a_1[/tex] x 625
[tex]a_1[/tex] = 25/625
[tex]a_1[/tex] = 0.04
Now that we have found [tex]a_1[/tex], we can use the formula to find the first three terms of the sequence:
[tex]a_1[/tex] = 0.04
[tex]a_2[/tex] = 0.04 x 5 = 0.2
[tex]a_3[/tex] = 0.04 x 5² = 1.0
Therefore,
The first three terms of the sequence are 0.04, 0.2, and 1.0.
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What is the exact circumference of a circle that has a radius of 5 cm?
Answer:
0.796 (simplified) 10π (not simplified)
Step-by-step explanation:
The formula for the circumference of a circle is
2πr so we have to do is plug in 5 for our radius:
2π(5) equals .796 or can be left as 10π.
The exact circumference of a circle that has a radius of 5 cm will be 31.4 centimeters.
What is the circumference of a circle?The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle.
Then the circumference of the circle will be
Circumference = 2πr units
The radius of the circle is 5 centimeters.
Then the circumference of the circle will be
Circumference = 2πr
Circumference = 2π (5)
Circumference = 10π
We know that the value of π will be 3.14 approximately. Then we have
Circumference = 10 x 3.14
Circumference = 31.4 centimeters
The exact circumference of a circle that has a radius of 5 centimeters will be 31.4 centimeters.
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Which graph represents the solution to the inequality 3 < 2- x/3 <7/2
Answer:
C
Step-by-step explanation:
What did Tumnus want to know about Lucy right away? What did we later find out was his motivation?
How is the logarithmic function y log x defined?
The logarithmic function y log x is defined as
[tex]$\log_b \text x = \text y \leftrightarrow \text b^y= \text x[/tex].
What is logarithmic function?An exponent that is expressed in a unique way is called a logarithm. As an illustration, we are confident that the exponential formula 32 = 9 is correct. In this instance, the base is 3, and the exponent is 2. The formula will be written as log3 9 = 2 in the logarithmic form.
This is expressed as "9 divided by base 3 is 2" in words. The exponent has been effectively lowered to the mainline in this case. However, despite the fact that this was done to make division and multiplication easier, logarithms are still very useful in mathematics.
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HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
-1, 0, 4
Step-by-step explanation:
2f - 8 ≤ 6f + 4
-4f ≤ 12
f ≥ 12/-4 **flip the inequality when you divide by a negative number
f≥ -3
Check all the answers that are ≥ -3
after a party there are parts of three pizzas remaining. there is 3/4 of a pepperoni pizza remaining 5/8 of a cheese pizza remaining and 11/12 of a sausage pizza remaining. the 5 friends who organized the party split the remaining pizza equally. What fraction of a whole pizza does each person get?
Adding all of the remaining pizzas, and dividing the total pizza into 5 equal fractions, the fraction of pizza that each person gets would be 11/24
What is a mixed number and how is it different from an improper fraction?A mixed number is a combination of a whole number and a fraction. For example, 3 1/2 is a mixed number. It is different from an improper fraction, which is a fraction where the numerator is greater than or equal to the denominator. For example, 7/4 is an improper fraction.
How do you convert a mixed number to an improper fraction?To convert a mixed number to an improper fraction, you must first multiply the whole number by the denominator of the fraction. Then add the result to the numerator. Finally, place the sum over the denominator. For example, to convert 3 1/2 to an improper fraction, you would first multiply 3 by 2 (the denominator of the fraction 1/2) to get 6, then add 1 (the numerator of the fraction 1/2) to get 7. So 3 1/2 is equivalent to 7/2 as an improper fraction.
So to find out the fraction of a whole pizza that each person gets out of the different remaining pizzas, first we need to all the remaining pizzas as shown below,
3/4 of pepperoni + 5/8 of cheese + 11/12 of sausage = 55/24
Now to equally divide this into 5 person, we need to divide this fraction by 5,
i.e 55/(24*5) = 11/24
Therefore, each person gets 11/24 of the whole pizza.
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[tex]{x}^{2} + x - 2[/tex]
solve this with first X last method
Answer:
[tex]x=-2,1[/tex]
Step-by-step explanation:
[tex]x^2+x-2=0\\(x+2)(x-1)=0\\x_1=-2,x_2=1[/tex]