Answer:
Height of the building is 32.67 meters.
Step-by-step explanation:
Volume of a Pyramid = [tex]\frac{1}{3}(\text{Area of the rectangular base})(\text{Height})[/tex]
Side of the square base of the Memphis pyramid = 180 m
Height of the pyramid = 98 meters
Volume = [tex][\frac{1}{3}(180)^2](98)[/tex]
= 1058400 cubic meters
Another building having the same base and volume, is in the shape of a prism.
Therefore, Volume of the pyramid = volume of the building(prism) = 1058400 cubic meters
Volume of the prism = (Area of the base) × height
1058400 = (180)²h
h = [tex]\frac{1058400}{180\times 180}[/tex]
h = 32.67 meters
Therefore, height of the building in the prism shape is 32.67 meters.
What is the measure of angle A?
(3y + 27)
What is the measure of angle B?
(5y - 3)
Answer: A = 72
B = 108
Step-by-step explanation:
the circumference of a circle is 11.4mm. find the length of the diameter. give your answer rounded to 3SF.
The diameter of a circle with a circumference of 11.4mm is approximately 3.63mm when rounded to three significant figures. The formula for calculating the diameter is D = C/π, where C is the circumference.
Explanation:The student is asking how to find the length of the diameter of a circle if the circumference is given as 11.4mm. To find the diameter, we can use the formula for the circumference of a circle, which is C = πD, where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14159, and D is the diameter. Rearranging the formula to solve for the diameter, we get D = C/π.
Substitute C with 11.4mm into the equation:
D = 11.4mm /π
Using a calculator:
D ≈ 11.4mm / 3.14159
D ≈ 3.63mm (rounded to three significant figures)
Therefore, the diameter of the circle is approximately 3.63mm when rounded to three significant figures.
The sum of Emma’s age and her sisters age is 41 years. Emma is 11 years older than her sister. What is Emma’s age and what is her sisters age? Please respond as quick as possible
The required age for Emma and her sister is 26 years and 15 years respectively.
Given that,
The sum of Emma’s age and her sister's age is 41 years. Emma is 11 years older than her sister.
The problem given is of arithmetics.
Let the age of Emma be x and her sister be y.
The sum of Emma’s age and her sister's age is 41 years.
x + y = 41 - - - - - - (1)
Emma is 11 years older than her sister
x = y + 11 - - - - - (2)
Solving equations 2 and 1
y + 11 + y = 41
2y = 30
y = 15
Now,
Put y in equation 1.
x = 41 - 15
x = 26
Thus, the required age for Emma and her sister is 26 years and 15 years respectively.
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A submarine drops at a rate of 19 feet per minute. What is the submarine's depth, in feet, after 4 minutes?
a 67
ob -67
Oc 76
d -76
Answer:
.
Step-by-step explanation:
2
11. Multi-Step Lucy spent $16.08 for a dog
collar and $43.57 for a dog bed. She has
$25.45 left. How much money did Lucy
have before she went shopping?
n
Answer:
$34.20.
Step-by-step explanation:
You have to use addition. First, you add $16.08 and $43.57 and get $59.65. Then you subtract $25.45 from $59.65 getting $34.20. Hope this helps! If you are still confused please comment!
very easy! 15 points!
Answer:
taxes, borrow money, regulate commerce, uniform rule of naturalization, and regulate the value.
Answer:
1. Make laws
2. Declare war
3. Tax people
4. Appoint treaties
5. establish post offices
i hope this is what you were looking for! :)
Graph the line with slope 5 and y-intercept -3.
Answer:
Step-by-step explanation:
Vehicle A gets 39 miles per 1.5 gaons of fuel. How many miles could it get on 3.5 gallons of fuel
Answer:
91 miles
Step-by-step explanation:
Let's make a proportion
miles/gallons=miles/gallons
The vehicle gets 39 miles on 1.5 gallons, and x miles on 3.5 gallons
39 miles/1.5 gallon= x miles/3.5 gallons
39/1.5=x/3.5
Now, we need to solve for x. To do this, we have to get x by itself. x is being divided by 3.5 To undo this, multiply both sides by 3.5, because multiplication is the opposite of division.
3.5*39/1.5=x/3.5*3.5
The 3.5s on the right cancel, so we are left with:
3.5*39/1.5=x
3.5*26=x
91=x
The vehicle gets 91 miles on 3.5 gallons of fuel
The graph below shows graph of f (x), its derivative f '(x), and its second derivative f "(x). Which of the following is the correct statement?
A is f ', B is f, C is f ".
A is f ", B is f, C is f '.
A is f ', B is f ". C is f.
A is f, B is f ', C is f ".
I believe B is the original, C the first derivative, and A is the second derivative. Can someone please confirm this for me? Thank you!
Answer:
A is f ", B is f, C is f '.
Step-by-step explanation:
Your answer is correct. B is the original function f. It has a local maximum at x=0, and local minimums at approximately x=-3/2 and x=3/2.
C is the first derivative. It crosses the x-axis at each place where B is a min or max. C itself has a local maximum at approximately x=-3/4 and a local minimum at approximately x=3/4.
Finally, A is the second derivative. It crosses the x-axis at each place where C is a min or max.
The solution is::
A is f ", B is f, C is f '.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
we get,
B is the original function f.
It has a local maximum at x=0, and local minimums at approximately x=-3/2 and x=3/2.
C is the first derivative.
It crosses the x-axis at each place where B is a min or max.
C itself has a local maximum at approximately x=-3/4 and a local minimum at approximately x=3/4.
Finally, A is the second derivative. It crosses the x-axis at each place where C is a min or max.
Hence, The solution is::
A is f ", B is f, C is f '.
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cos(-15°) = _____.
cos 75°
-cos 345°
cos 15°
-cos 15°
Answer:
Cos 15
Step-by-step explanation:
Because they both have the same answer when you type them in the calculator
Hope this helps
The required simplified value of the given expression is cos 15°. Option C is correct.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Given
= cos(-15°)
Since,
Cos[-Ф] = cosФ,
cos(-15°) = cos 15°
Thus, the required simplified value of the given expression is cos 15°. Option C is correct.
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A company charges $13 plus $3 per hour to rent a boat. Abigail and Monique want to rent a boat but do not want to spend more than $20 each. Which inequality below would represent how to find the maximum number of hours the girls can rent a boat?
Final answer:
Abigail and Monique can spend a maximum of $40 together for renting a boat. Given the company's pricing model, the inequality 3h ≤ 27 represents their situation, and solving it shows they can rent the boat for up to 9 hours.
Explanation:
The question is about calculating the maximum number of hours Abigail and Monique can rent a boat, given they each do not want to spend more than $20. The company charges a $13 flat fee plus $3 per hour for renting a boat. The total amount they are willing to spend each is $40 ($20 each), subtracting the flat fee leaves $27 to be spent on the hourly rate. Therefore, the inequality to find the maximum number of hours they can rent the boat is:
3h ≤ 27
Dividing both sides by 3 gives:
h ≤ 9
So, Abigail and Monique can rent a boat for a maximum of 9 hours.
Convert 1.5 kg to g.
Please help me now plz
Answer:
?= 5.52
Step-by-step explanation:
We know that sin theta = opp side / hypotenuse
sin 65 = 5 / ?
? = 5 / sin 65
? =5.516889595
To the nearest hundredth
?= 5.52
Find the slope of the line represented by the table of values.
First, let's pick two pairs of coordinates from the table.
I picked (-3,6) and (1,-2).
Now, let's find the slope of the two coordinates. We are going to use the rise over run method.
-2 -6 /1 - -3 = -8/4
-8/4 = -2
Tonya baked two dozen cupcakes for the party. She frosted three-quarters of them with chocolate icing, and she frosted the rest with vanilla icing. How many of the frosted cupcakes had vanilla icing?
Answer:
6
Step-by-step explanation:
Two dozen cupcakes equals 24 cupcakes.
24/4=6
6*3=18
18 cupcakes are chochlate
24-18=6, so 6 are vanilla
Answer:
Step-by-step explanation:
If she baked two dozens, which are 24 cupcakes and 3 quarters are chocolate or 3/4 in fractional form. This would be:
24 divided by 3/4 would be: 18
24-18= 6
6 cupcakes are vanilla frosted.
The local rodeo has a circular Pin , with a diameter of 48 feet , in which keep the horses what is the circumference or the horse pin
Answer:
The circumference of the horse pin is 150.86 feet
Step-by-step explanation:
In this question, we are to calculate the circumference of the horse pin, given that the diameter is 48 feet.
Mathematically, the circumference can be calculated using the formula
C = 2 * pi * r
where r = D/2 = 48/2 = 24 feet
The circumference C is thus = 2 * 22/7 * 24 = 1056/7 = 150.86 feet
An item is regularly priced at $41. John bought it at a discount of 15% off the regular price. How much did John pay?
Answer:
$34.85
Step-by-step explanation:
41 x 0.15 = 6.15
John saved $6.15
41 - 6.15 = $34.85
Therefore, the discount price is $34.85
If the probability of a chance event is 0, it is _________ to happen when compared to a chance event with a probability of 1.
If the probability of an event is 0, it is impossible to happen, in contrast to an event with a probability of 1, which is certain to happen. Probability is measured between 0 (impossible event) and 1 (certain event), with a familiar example being a coin flip where each outcome (heads or tails) has an equal probability of 0.5.
If the probability of a chance event is 0, it is impossible for it to happen when compared to a chance event with a probability of 1, which is certain to happen. The concept of probability is expressed as a number between zero and one, inclusive. An event with a probability of 0 is not expected to happen at all, while an event with a probability of 1 is considered an absolute certainty. In contrast, if two events are mutually exclusive, the probability that they both happen at the same time is zero (P(A AND B) = 0). A familiar example involving probability is flipping a fair coin, where there's a 1/2 chance of getting heads, meaning that the outcome of getting either heads or tails are equally likely; each has a probability of 0.5.
If sales tax is 7.5%, what is the final cost of an $18 sweater after taxes are applied? (Round to the nearest cent)
Answer: $19.35
Step-by-step explanation: 18 x 0.075 = 1.35
18 + 1.35= 19.35
a circle with radius 5 has a sector with a central angle of 9/10pi radians what is the area of the sector
Answer:
(9 / 10) * PI radians = .9 * PI = 2.8274333882 radians
Sector Area = Central Angle in Radians / 2 * radius^2
Sector Area = 2.8274333882 / 2 * 5 * 5
Sector Area = 1.4137166941 * 25
Sector Area = 35.3429173525
Using degrees:
Sector Area = (162 degrees / 360) * PI * radius ^2
Sector Area = .45 * PI * 25
Sector Area = 35.342917352
Step-by-step explanation:
A terrarium is built in the shape of a triangular prism. The prism is 10 inches in height and contains 450 cubic inches of space. A triangular prism is shown. The prism is 10 inches in height and contains 450 cubic inches of space. What is the area of the base shape of the prism? square inches
Answer:
45 square inches
Step-by-step explanation:
We are told that a terrarium is constructed in a triangular prism shape with the following 10 inches tall and 450 cubic inches in volume.
We are asked to calculate the area of the base shape of the prism, we know that the volume of any triangular prism is equal to the area of the base times the height therefore:
450 = W × 10
we solve for A:
A = 450/10
A = 45
Which means that the base area is 45 square inches
Answer:
(C) 45 square inches
Step-by-step explanation:
correct on edge
Help plz (problly easy for you)
The second option: 4x² - x + 1
All you have to do is add the like terms:
3x² + x² = 4x²
4x - 5x = -x
-2 + 3 = 1
Combine all the results and you will get your solution!
A paddle wheel on a boat is 8 feet in diameter. The fins along the outer edge travel at a speed of 6.7 feet per second. How long does it take the paddle wheel to complete 100 full revolutions? Round to the nearest second.
Answer:
375 seconds.
Step-by-step explanation:
Step 1
The first step is to find the Circumference of the paddle.
The Circumference of a paddle = Circumference of a circle = 2πr or πD
Where D = Diameter of the circle or Diameter of the paddle
In the question above,
Diameter of a paddle = 8 feet
Circumference of the paddle= πD
= π × 8
= 25.132741229 feet
Step 2
We have to find out first, the time it would take for the paddle to complete one revolution.
This is calculated using the formula:
Time(t) = distance travelled ÷ Speed travelled by the fins along the outer edge of the paddle
In the question,
Speed travelled by the fins along the outer edge of the paddle = 6.7 feet per second
It is important to note that the distance travelled is = Circumference of the paddle = 25.132741229 feet
Time taken to complete one revolution = 25.132741229 feet ÷ 6.7 feet per second
Time taken to complete one revolution. = 3.7511554073 seconds
Approximately = 3.75 seconds.
Step 3
If , 1 full revolution of the paddle takes = 3.75 seconds
100 revolutions =
100 × 3.75 seconds
= 375 seconds.
Therefore, it takes the paddle wheel 375 seconds to complete 100 full revolutions.
Help please please please
Answer:
$321. 25
$280. 25
$260. 25
$285. 25
Ashton had two boxes of pencils with fourteen pencils in each box. He gave six pencils to his brother. How many pencils did Ashton have left?
Answer:
22 pencils
Step-by-step explanation:
it would be 28 pencils all together, minus 6 would be 22 pencils
Ashton had 28 pencils initially and after giving 6 away to his brother, he was left with 22 pencils.
Ashton had two boxes of pencils with fourteen pencils in each box, which means he had a total of 2 x 14 = 28 pencils.
After giving six pencils to his brother, Ashton would have 28 - 6 = 22 pencils left.
Therefore, Ashton had 22 pencils after giving some to his brother.
Which points are on the graph of the equation 3-6x+2y=-5
Step-by-step explanation:
Y - intercept = (0 , -4)
X - intercept = (4/3 , 0)
You only need these two points and then you get a linear function.
First to find y-intercept, the (x) value has to be 0. So substitute 0 for (x).
You get 3-6(0)+2y=-5
now solve that. you get 3-0+2y=-5
= 3+2y=-5
= 2y = -8
= y = -4
Knowing that y = -4, x = 0. You have a point now. (0 , -4 )
Do the same for x - intercept, but this time (y) = 0. So you would get
3 - 6x + 2(0) = -5
= 3 - 6x + 0 = -5
= 3 - 6x = -5
= -6x = -8
= x = 8/6
which is app = to 4/3
Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.
Answer:
The perimeter would be 60 units; Option B
Step-by-step explanation:
~ Let us consider this problem. We know that tangent segments are congruent to one another provided they are from one endpoint. According to that, we would note that several segments are congruent to one another... ~
1. All the tangent segments that "sprout" from one vertex in this plane onto the circle circumscribed in this triangle are congruent, as noted before. According to that the side of the length 18 units has one part equivalent to 8.7 units.
2. With that being said the other part of the side with length 18 units, would be 18 - 8.7 = 9.3 units. Respectfully the side with length of 21.3 units has a part that is congruent to 9.3, by tangent ≅. This other part of the side with 21.3 units now = 21.3 - 9.3 = 12 units. Similarly the side with 8.7 as a part of it, has the other part ≅ to 12 units, it's measure thus also being 12 units.
3. Let us see the measures we have at this point. The perimeter would be ⇒ 8.7 + 8.7 + 9.3 + 9.3 + 12 + 12 = 60 units
3) The Morgan’s are replacing the flooring in their kitchen with ceramic tiles. They are deciding between 18 inches square tiles and 6 inches square tiles. What is the difference of the area of the two tiles they are considering?
with the 18 inch square tiles, you would cover an area of 324 in^2
with the 6 inch square tiles, you would cover an area of 36 in^2
The difference in area between an 18-inch square tile and a 6-inch square tile is 288 square inches.
The question revolves around the difference in area between two different sized ceramic tiles. To calculate the area of a tile, we use the formula Area = length imes width. Since tiles are square, the length and width are the same. For an 18-inch tile, the area is 18 inches × 18 inches, and for a 6-inch tile, it's 6 inches × 6 inches.
The area of the 18-inch tile is:
324 square inches (because 18 × 18 = 324)
The area of the 6-inch tile is:
36 square inches (because 6 × 6 = 36)
The difference in area between the two tiles is:
288 square inches (because 324 - 36 = 288).
5 people made the following grades on the last math test: 45, 83, 45, 77, 99. Use this information to find the mean.
what is the mean?
what is the range?
what is the median?
i will mark brainliest
Answer:
Mean is 69.8
Median is 77
Range is 54
Step-by-step explanation:
Mean is all numbers added up, then divided by the amount of numbers.
Median is the middle number of all numbers (To find this you put all numbers in order from least amount to highest amount, then you find the most center number of the rest).
Range is the highest number subtracted from the lowest number.
Answer:
Mean: 69.8
Range: 54
Median: 77
Step-by-step explanation:
The mean is the average of the numbers. The range is the largest number minus the smallest number. The median is the middle number.
The mean is 69.8.
[tex]\frac{45 + 83+45+77+99}{5} \\\frac{349}{5}\\69.8[/tex]
The range is 54.
99 - 45 = 54
The median is 77.
45 45 77 83 99
Which equation is true if the perimeter of the rectangle is 60?
X + 5
3x - 2
OOOO
X+5= 3x-2
(x+5)+(3x-2) = 60
2(x+5)+2(3x-2) = 60
O 2(3x-2)-2(x+5) = 60
Answer:
2(x+5)+2(3x-2) = 60
because rectangle have 2 equal sides, and 2 other quals side, u just times them with 2, and sum them together? does this make sense? hope the picture explains :/