Answer:
The volume of the square pyramid is 766.3 in³ approximately.
Step-by-step explanation:
To find the volume of the square pyramid whose perimeter of the base is 44 in and a height of 19 in, we will follow the steps below:
Write down the formula for calculating volume of the square pyramid
v=A(h/3)
where v is the volume, A is the area of the base and h is the height.
From the question given, the perimeter of the base is 44.
If the perimeter of the base is 44, then we can say;
4l = 44
Dividing both-side by 4
l = 11
The length of the base = 11
Area of the base = l² =11² = 121 in²
Als from the question given, height is 19 in.
we can now proceed to plug in our values into the formula
v=A(h/3)
v = 121 (19/3)
v≈766.3 in³ to the nearest tenth.
Therefore, the volume of the square pyramid is 766.3 in³ approximately.
Which value is closets to 8 11/20 A)8 B)8 1/2 C)8 3/4 D) 9
Final answer:
The value 8 3/4 (option C) is closest to 8 11/20 because it has the smallest difference when compared to the other options after converting 11/20 to its decimal form.
Explanation:
The value closest to 8 11/20 is 8 3/4 (option C). To determine which value is closest, convert 11/20 to its decimal equivalent by dividing 11 by 20, which is 0.55. When added to 8, this gives us 8.55. Now let's compare the options: Option A (8) is 0.55 away, option B (8 1/2) equals 8.5 and is 0.05 away, option C (8 3/4) equals 8.75 and is 0.20 away, and option D (9) is 0.45 away. Thus, 8 3/4 is the closest value to 8 11/20 since it has the smallest difference.
In Ben's state, the weekly unemployment compensation is 55% of the 26-week average for
the two highest-salaried quarters. A quarter is three consecutive months. For July, August,
and September, Ben earned a total of $22,400. In October, November, and December, he
earned a total of $22,800. Determine Ben's weekly unemployment compensation.
Ben's weekly unemployment compensation is $956.15
What is percentage?A percentage is a number or ratio expressed as a fraction of 100. It is generally denoted using the percent sign ''%''.
Now it is given that,
Weekly unemployment compensation = 55%
Ben earned a total in July, August, and September = $22,400
And in October, November, and December = $22,800
Therefore, his total compensation for the six month period = $22,400 + $22,800 = $45,200
his average weekly salary = $45,200 / 26 weeks = $1,738.46
Ben's unemployment compensation = $1,738.46 x 55% = $956.15
Hence,Ben's weekly unemployment compensation is $956.15
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To determine Ben's weekly unemployment compensation, we need to calculate the average of his two highest-salaried quarters and then multiply it by 55%.
Therefore, Ben's weekly unemployment compensation is $4,106.67.
Explanation:To determine Ben's weekly unemployment compensation, we need to calculate the average of his two highest-salaried quarters and then multiply it by 55%. First, let's calculate the average for each quarter:
Next, let's determine the two highest averages:
The highest average: $7,600The second highest average: $7,466.67Now, we can calculate the weekly unemployment compensation:
The highest average * 55% = $7,600 * 0.55 = $4,180
The second highest average * 55% = $7,466.67 * 0.55 = $4,106.67
Therefore, Ben's weekly unemployment compensation is $4,106.67.
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Plz help will give brainliest
Answer: C because if it says less than that means after
Which of the following is an example of a raw goods producer?
Answer:
c prt i suppose
Step-by-step explanation:
Answer:
A Lumber company
Step-by-step explanation:
each person gets 1/5 of a cake at a birthday party there are 3 cakes total how many people will eat cake
Answer:
15
Step-by-step explanation:
There are 15/5 in 3 cakes, since 1 cake has 5/5, so 3 is 15/5. if everybody gets one fifth, 15 people get the cake
Answer:
A total of 15 people will eat cake
Find the length of HD
if entering your answer as a decimal, round your final answer to the nearest hundredth.
HD = units
Answer:
11 units
Step-by-step explanation:
HPO and DPI are similar triangles
HP/DP = PO/PI
HP/9 = 6/27
HP = 9×6/27
HP = 2
HD = HP + PD
HD = 2 + 9 = 11
Answer:
11 units
Step-by-step explanation:
What is the area of this title?
Is it in. or in2
Answer:
A = 12 in^2
Step-by-step explanation:
The formula for area is
A = l*w
A = 2in * 6 in
A = 12 in^2
80° r=9 What is the length of the indicated arc?
Kelly plans to take juice on her camping trip. Which will hold more juice 14 cans , where 1 can is 150ml or 2 2 liter bottles? How much more?
Answer:
14 150ml cans will hold more juice.
Step-by-step explanation:
14*150ml = 2100ml
2100ml = 2.1 liters
How many times greater is the
value of the digit 4 in 4,560 than
in 241?
Answer:
100x
Step-by-step explanation:
4 in 4560 = 4000
4 in 241 = 40
4000 div by 40 = 100
Answer:
100
Step-by-step explanation:
i thihk
kevin estimated the differncle between of 9/10 minus 4/8 to be 0 is his estimate reasonable explain
Answer:
No, it is not reasonable
Step-by-step explanation:
Writing 9/10 and 4/8 as fractions out of 100, and then as decimals
9/10 = 90/100 = 0.9
4/8 = 1/2 = 50/100 = 0.5
0.9 - 0.5 = 0.4
Not 0, like Kevin estimated
Answer: 4/8 = 0.5 and 9/10= 0.9. If you subtract 0.9 by 0.5, you end up with 0.4. I would say not reasonable.
Step-by-step explanation:
Suppose that a randomly generated list of numbers from 0 to 9 is being used
to simulate an event that has a probability of success of 70%. Which of these
groups of numbers could represent a success?
O
A. 0, 1, 2, 3, 4, 5, 6, 7
O
B. 0, 1, 2, 3, 4, 5, 6
O
c. 0, 1, 2, 3, 4, 5
O
D. 0, 1, 2, 3, 4, 5, 6, 7, 8
Answer:
B. 0, 1, 2, 3, 4, 5, 6
Step-by-step explanation:
If you want to represent a 70% chance of success, then 7 of the 10 possible numbers need to represent success. It is convenient to use the numbers 0 to 6 for the purpose.
The solution is : The group which represents a success is
B. 0, 1, 2, 3, 4, 5, 6.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
here, we have,
Given that,
a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 60%.
Total outcomes which are numbers from 0 to 9 = 10
If the probability of success is 60%,
P(success) = 60/100 = 6/10
That is, 6 numbers out of 10 are the outcomes which leads to success.
The correct option is D. 0, 1, 2, 3, 4, 5, which is the only option containing 6 numbers.
Hence the correct option is B
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*25 points* What is the average rate of change of g over the interval 0≤x≤9?
Answer:
10/9
Step-by-step explanation:
y increases by 10 while x increases by 9
The average rate of change of a function over an interval is calculated by finding the difference in the function values at the endpoints and dividing it by the difference in the x-values.
Explanation:The average rate of change of a function over an interval is calculated by finding the difference in the function values at the endpoints of the interval and dividing it by the difference in the x-values.
In this case, we are given the interval 0 ≤ x ≤ 9. We need to find the difference in the function values of g at x = 0 and x = 9, and then divide it by the difference in the x-values, which is 9 - 0 = 9.
So, the average rate of change of g over the interval 0 ≤ x ≤ 9 is (g(9) - g(0)) / (9 - 0).
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Consider the system of equations, x - 2y = 8 and -2x+4y=-16.
What is x - 2y = 8 in slope-intercept form?
What is -2x + 4y = –16 in slope-intercept form?
How many solutions will there be?
What will the graph of the system look like?
Answer:
Consider the system of equations, x – 2y = 8 and –2x + 4y = –16.
What is x – 2y = 8 in slope-intercept form?
y=(1/2)x - 4
What is –2x + 4y = –16 in slope-intercept form?
y=(1/2)x - 4
How many solutions will there be?
infinitely many solutions
What will the graph of the system look like?
the lines are exactly the same
(I answered using the other answer and it was incorrect. It autocorrected it to these answers. This answer is correct.)
Slope intercept form of the equation
[tex]x - 2y = 8 \\ y=\frac{1}{2}x-4[/tex]
Slope intercept form of the equation
[tex]-2x+4y=-16 \\y=\frac{1}{2}x-4[/tex]
Solution is infinite
Graph of the system are the lines that lies one above the other.
Given :
System of equations
[tex]x - 2y = 8 \\ -2x+4y=-16[/tex]
slope intercept form of the equation is y=mx+b
Lets solve each equation for y
[tex]x - 2y = 8 \\-2y=-x+8\\y=\frac{1}{2}x-4[/tex]
Slope intercept form of the equation
[tex]x - 2y = 8 \\ y=\frac{1}{2}x-4[/tex]
Lets solve the second equation for y
Slope intercept form of the equation
[tex]-2x+4y=-16\\4y=2x-16\\y=\frac{1}{2}x-4[/tex]
The slope intercept form of both the equations are same
So there are infinite solutions for the given system of equations.
When the solution is infinite then the graph of equation are the lines that lies one above the other .
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GRAPH PROBLEM!!!!!!!
Answer:
Khalid = 140 mph
Jesse = 150 mph
Jesse has the faster train
Step-by-step explanation:
Khalid is travelling 140 mph because 280/2 is 140
Jesse is travelling at 150 mph because just like the question stated, y=150x where "x" is the total hours they traveled and 150 is the distance she traveled.
Jesse is faster because 150>140
Write a quadratic function f whose zeros are 6 ad 5
The quadratic function f whose zeros are 6 and 5 is represented by the formula f(x) = (x - 6)(x - 5). This formula utilizes the fact that the zeros of a quadratic function, also known as the roots, are the x-values for which the function equals zero.
Explanation:To write a quadratic function f whose zeros are 6 and 5, we first identify the zeros. These zeros are the roots of the equation, meaning the points at which the curve of the function hits the x-axis.
A quadratic function is in the form f(x) = a(x - p)(x - q), where p and q are the zeros. Therefore, if the zeros are 6 and 5, our function becomes f(x) = a(x - 6)(x - 5), with 'a' being any real number. If we take 'a' as 1 (for simplicity), the function becomes f(x) = (x - 6)(x - 5).
So the quadratic function with zeros 6 and 5 is f(x) = (x - 6)(x - 5).
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maths - simultaneous equations
Answer:
knife = £5.52
Step-by-step explanation:
The 2 equations are
k = 3s → (1)
9s + 12k = 82.8 → (2)
Substitute k = 3s into (2)
9s + 12(3s) = 82.8
9s + 36s = 82.8
45s = 82.8 ( divide both sides by 45 )
s = 1.84
Substitute s = 1.84 into (1)
k = 3 × 1.84 = 5.52
The cost of 1 knife is £5.52
Colleen went to the store. She bought 4 pounds of
gummy bears. How much did she spend?
How are you supposed to find that out if you don't have a base price for at least 1 pound of gummy bears? Can you provide more info?
In a taste test, 50 participants are randomly given a beverage to sample.
There are 20 samples of Drink A, 10 samples of Drink B, 10 samples of Drink
C, and 10 samples of Drink D. Write the probability of a participant NOT
sampling Drink A.
Answer:
20 out of the 50 participants are assigned to consume Drink A.
However, it is asking us the probability that a participant did NOT consume Drink A, so there are 30 participants that consumed another drink.
The probability is 30/50, or 60%, that a participant did not sample Drink A.
Answer:
3/5
Step-by-step explanation:
of the 50 participants 20 of them will get drink A. This probability is 20/50 which simplified is 2/5. The other 30 participants will get drinks B, C, or D. As a fraction this is equal to 30/50 or 3/5. Therefore the probability of a participant not sampling drink A is 3/5.
help me I really need it
Tropical rainy is forests close to the water. Dry is outback and steppes. Temperate marine is savannas. Temperate continental is forests far from water. Polar is tundra and ice caps. Finally, highlands is mountains.
hi:) I need advice on something. I have art coursework to do and I usually take really really long to complete it. should I just spend the entire day doing art so that I can complete my art assignment and start on math/sci/eng? please help, thanks:)!
Answer:
Art 1st
Step-by-step explanation:
If art takes you longest, you should do it 1st. After do what takes you less, then you will get the harder done 1st, and have something that doesnt take you as long after.
:)
Answer:
You should make yourself a tiny schedule, for example, you can work on your art piece for about an hour and then take a 5 minute break and do some of your other assignments for about 1 hour and 30 minutes. What you can also do is per every hour of working on art you did one other assignment. Hope this helps! :)
Which expression can be used to find the surface area of the following rectangular prism?
Answer:
Option B
Step-by-step explanation:
PLEASE ANSWER QUICKLY!!!
The width of a rectangle is 5 meters less than its length. The length is x meters. Write an algebraic expression to represent the width of the rectangle.
What if you subtract the angle measures?
45°-(-3159) =
Jodi rents a car for 2 weeks. It costs $210 for each week plus $0.10 per mile.
Which equation represents the relationship between the number of miles traveled, m, and the total rental cost, r?
O A r = 2(210+ 0.10m)
B. r= 210 + 2 (0.10m)
C. r = 2 (210) (0.10m)
D. r= 2(210) +0.10m
The equation represents the relationship between the number of miles traveled, m, and the total rental cost, r is r = 2(210) + 0.10m.
What is the equation?An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
Jodi rents a car for 2 weeks.
It costs $210 for each week plus $0.10 per mile.
Let, the number of miles traveled, m, and the total rental cost, r.
The rent of the car for 2 weeks is;
[tex]= 2 \times 210[/tex]
The equation represents the relationship between the number of miles traveled, m, and the total rental cost, r is;
r = the rent of the car for 2 weeks + the total rental cost
r = 2(210) + 0.10m
Hence, the equation represents the relationship between the number of miles traveled, m, and the total rental cost, r is r = 2(210) + 0.10m.
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The shoes are on sale for 39.99. If they were marked down 20%, what was the original price?
Final answer:
The original price comes out to $49.99 when rounded to the nearest cent.
Explanation:
To determine the original price of an item that has been marked down by 20%, we need to understand that the current price represents 80% of the original price (100% - 20% = 80%).
Therefore, the sale price is 80% of the original price. If the shoes were on sale for $39.99, we can set up an equation where the original price is represented by x, and the sale price is 80% of x, or 0.80x.
The equation would be 0.80x = $39.99.
To find the original price, we divide both sides by 0.80:
x = $39.99 / 0.80
x = $49.9875
Therefore, the original price of the shoes was $49.99 when rounded to the nearest cent.
Plot the image of point B under a dilation about point P
with a scale factor of
Please find the attached file.
We have been given am image of point B on coordinate plane. We are asked to plot the mage of point B under a dilation about point P with a scale factor of [tex]\frac{1}{2}[/tex].
To solve our given problem, we need to find vertical distance and horizontal distance between point B and point P.
We can see that vertical distance is 4 units as shown in the attachment and horizontal distance is 6 units.
Since the scale of dilation is [tex]\frac{1}{2}[/tex], so the vertical distance between point P and B' would be [tex]\frac{1}{2}[/tex] of 4 that is [tex]\frac{1}{2}(4)=2[/tex].
The horizontal distance between point P and B' would be [tex]\frac{1}{2}[/tex] of 6 that is [tex]\frac{1}{2}(6)=3[/tex].
Now we will count 3 units to left of point P and 2 units upwards. That will be the position of point B'.
The below-attached graph represents the image of point B under a dilation about point P with a scale factor of 1/2.
To plot the image of point B under a dilation about point P with a scale factor of 1/2, follow these steps:
Draw point P on the coordinate plane at any location.From point P, move vertically 6 units up and label the new point as B.From point P, move horizontally 4 units to the left and label the new point as B'.The point where this line intersects the vertical line through point C will be the image of point B under the dilation with a scale factor of 1/2.
Thus, the image of point B will be half as far away from point P as point B.
Hence, the below-attached graph represents the image of point B under a dilation about point P with a scale factor of 1/2.
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Find the distance between the two points (4, 1) and (10,9)
The distance between the two points (4, 1) and (10,9) is 10 units
CoordinatesAssume the points are A and B
The coordinates of the points are given as:
Point A = (4,1)Point B = (10,9)DistanceThe distance (d) between two points A and B is calculated as:
[tex]d = \sqrt{(x_1 -x_2)^2 + (y_1 -y_2)^2}[/tex]
So, the above equation becomes
[tex]d = \sqrt{(4-10)^2 + (1 -9)^2}[/tex]
[tex]d = \sqrt{100}[/tex]
Take the positive square root of 100
[tex]d = 10[/tex]
Hence, the distance is 10
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PLEASE HELP ME!!!
I don't understand....
If possible, please explain how you got to the answer!
Answer:
Oof...
Step-by-step explanation:
What is the Question?
A snow plough has a 3.2m blade set at an angle of 30 degrees How wide a path will the snow plough clear
Answer:
1.6m
Step-by-step explanation:
The length of the blade is 3.2m
The angle which the blade makes is 30°
Assuming the path of the blade and the length it covers is a right-angled triangle,
The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle.
See attached document for better illustration.
Using SOHCAHTOA,
Sinθ = opposite / hypothenus
opposite = x
hypothenus = 3.2
θ = 30°
Sin30 = x / 3.2
X = 3.2sin30
X = 3.2 × 0.5
X = 1.6m
The path which the snow plough clears is 1.6m
Final answer:
Using trigonometry, the width of the path that a snow plough with a 3.2m blade set at a 30 degree angle will clear is approximately 2.77 meters wide.
Explanation:
To determine the width of the path that a snow plough will clear, we can make use of trigonometry. Given that the blade of the snow plough is 3.2 meters wide and is set at an angle of 30 degrees, we can calculate the width of the path cleared (w) by using the following formula derived from the cosine of the angle:
w = blade width × cos(angle)
Therefore, the width of the path cleared is:
w = 3.2 m × cos(30°)
To solve for w, we need to know the cosine of 30 degrees, which is √3/2. So the calculation will be:
w = 3.2 m × (√3/2)
After calculating this:
w = 3.2 m × 0.866
w = 2.7712 m
Therefore, the snow plough will clear a path approximately 2.77 meters wide.