Answer:
The height of the pyramid is 92.67 inches
Step-by-step explanation:
Here, we are interested in calculating the perpendicular height of the pyramid given the slant height of the pyramid.
Now, let’s say that the side of the square is a, half of this length is r and the slant height is represented by s.
Mathematically, from Pythagoras’ theorem, we know that the square of the hypotenuse equals the sum of the square of the two other sides.
With the hypotenuse being the slant height s,
s^2 = r^2 + h^2
but r is just half of the length of the side of the square base = a/2 = 24.8/2 = 12.4 inches
93.5^2 = 12.4^2 + h^2
h^2 = 93.5^2 - 12.4^2
h^2 = 8742.25 - 153.76
h^2 = 8,588.49
h = √(8,588.49)
h = 92.67 inches
how do I find the x
Answer:
6.8=x
Step-by-step explanation:
3x=20.4
x-6.8
Type the correct answer in each box. Use numerals instead of words.
Harry buys a boat in 2010. He plans on selling it in 2020. In 2010, the boat costs $20,000. The value of the boat depreciates over time
as is shown in the graph below, where the y-axis represents the value of the boat, in dollars, and the x-axis represents the number of
years since 2010.
Answer:
The initial value of the boat was $20,000
The percent decrease per year of the value of the boat is 10%.
The interval on which the value of the boat is decreasing while Harry has it is (0,10)
Step-by-step explanation:
It is given that the boat costs $20,000 in 2010 when x = 0. So, the initial value of the boat was $20,000.
Next, find the percent decrease per year of the value of the boat. Consider the general form of an exponential equation, y = a(b)x, where a is the initial value of the boat, b is the base of the exponent, x is the number of years after 2010, and y is the value of the boat, in dollars.
Consider the point (1 , 18,000) which lies on the graph of this situation. Substitute x = 1, y = 18,000, and a = 20,000 into the exponential equation and isolate b.
Recall that for exponential decay, b = 1 - r where r represents the decay rate. Substitute b = 0.9 into this equation and solve for r.
So, the decay rate is 0.1, and the percent decrease per year of the value of the boat is 10%.
Harry bought the boat in 2010, and plans on selling it after 10 years in 2020. Therefore, the interval on which the value of the boat is decreasing while Harry has it is [0, 10].
Line CD passes through points C(3, -5) and D(6, 0) . what is the equation of the line CD in standard form?
Answer:
Option 2: 5x - 3y = 30
Step-by-step explanation:
Step 1: Find slope
(0-(-5))/(6-3) = 5/3
Step 2: Find b
y = 5/3x + b
0 = 5/3(6) + b
b = -10
Step 3: Write in slope-intercept form
y = 5/3x - 10
Step 4: Move x over
-5/3x + y = -10
Step 5: Multiply by -3 on both sides
5x - 3y = 30
And we have our final answer!
A number line going from negative 8 to positive 8 in increments of 2. Which integer is the farthest to the left of 0?
Answer:
its 4-!
Step-by-step explanation:
trust me on this
Slope and point on line of the equation y - 6= 3(x-5)
Easy claps
Answer: slope=3 and point is (5,6)
Step-by-step explanation: It's just basic prealgebra!
How to find diameter when circumference is given?
Answer: divide by 3.14
Step-by-step explanation:
Please someone help
Answer:
cos is used if there is adjacent and hypotenuse
Which description best describes coplanar figures? A. They are contained in the same plane. B. They are not contained in the same plane. C. They lie in a straight line. D. They take up the same amount of space
The description that best describes coplanar figures is that they are contained in the same plane.
What are Coplanar figure?This is referred to as the points or lines that are known to be or lie on the same kind of plane.
Note that if for example, points P , Q , and S lie in the same plane C, then they are coplanar and thus The description that best describes coplanar figures is that they are contained in the same plane.
Learn more about coplanar figure from
https://brainly.com/question/9047265
Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120 centimeters of the velvet. Another customer bought an additional 14 meters during the afternoon. How much crimson velvet does Malik's shop have left? Write the answer in centimeters.
The length of crimson velvet bolt which Malik's shop has left is 1680 centimeters.
Recall :
1 meter = 100 centimeters
Original Length of Bolt = 32 meters = (32 × 100) = 3200 centimeters
Total length of bolt purchased :
Morning purchase = 120 centimeters
Additional purchase = 14 meters = (14 × 100) = 1400 centimeters
Total length purchased = (120 + 1400) = 1520 centimeters
The length of crimson velvet bolt left :
(Original length - total length purchased)
(3200 - 1520) centimeters = 1680 centimeters
Hence, Malik's shop has 1680 centimeters of Crimson velvet bolt left
Learn more : https://brainly.com/question/12704692
What is HK? have any clue?
Answer:
As a relation between height and hypotenuse in right triangle GHJ, we have:
HK^2 = KG x KJ
=> HK = sqrt(KG x KJ) = sqrt(2 x 8) = sqrt(16) = 4
Hope this helps!
:)
4/9 divided by 5/2 I need help wit 15 more can anyone help ?
Answer:
8/45
Step-by-step explanation:
4/9 ÷5/2
Copy dot flip
4/9 * 2/5
Multiply the numerators
8
Multiply the denominators
45
Put the numerator over the denominator
8 /45
Answer:
[tex] = \frac{8}{45} [/tex]
Step-by-step explanation:
[tex] \frac{4}{9} \div \frac{5}{2} \\ \frac{4}{9} \times \frac{2}{5} \\ = \frac{8}{45} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
10 points
Twenty Year 7 students recorded the number of times in a week that
they visited Wikipedia for information.
10 7 4 5 6 5 9 7 6 8
7 7 5 5 6 8 8 7 10
8
Find the modal number of visits.
4 visits
O 5 visits
6 visits
O 7 visits
Step-by-step explanation:
The mode is 7 because it is 5 times
This is my fourth time reposting this question please answer the question I need help
Answer:
here they are.
Step-by-step explanation:
Ok so the mean is the average of all the data. So we add up all the numbers, then divide that by the quantity of numbers.
For week one, thats 48,52,52,53,60,63,65 which equals 393, then we divide that by 7, and get 56.142857142857, so we round that to 56.1
Week 2 is 54,55,56,59,60,62,63 which is 409 divided by 7, and thats 58.428571428571 rounded is 58.4
Next up is the MAD (mean absolute deviation) thats the average distance between each value and the mean.
Week 1 MAD: 5.5918367346939 5.5
Week 2 MAD: 2.9387755102041 2.9
Sarkis wants to draw a triangle with sides measuring 4 ft, 10 ft, and 16 ft. Which is true about Sarkis’s plan? Sarkis cannot draw a triangle with these side lengths. Sarkis can only draw one unique triangle with these side lengths. Sarkis can draw exactly two triangles with these side lengths. Sarkis can draw more than one triangle with these side lengths.
Answer:
SHE CANNOT pls mark brainleist
Step-by-step explanation:
If you use the Triangle Inequality Theorem, you will find that 4+10 equals 14, which is less than 16. It has to be greater than 16 to be a triangle.
Sarkis cannot draw a triangle with these side lengths. Therefore, option A is correct.
Given that, a triangle with sides measuring 4 ft, 10 ft, and 16 ft.
What are the conditions to construct a triangle?In the triangle, the sum of any two sides is always greater than the third side. The difference between any two sides of the triangle is always less than the third side.
Sarkis cannot draw a triangle with these side lengths. Therefore, option A is correct.
To learn more about triangles visit:
https://brainly.com/question/2773823.
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Five times a number which is 3 more than h. Write this as an expression.
｡☆✼★ ━━━━━━━━━━━━━━ ☾
So, let's start off with h
The expression needs to be '3 more than h'
This can be written as:
h + 3
The expression also needs to be 'five times' this value
This can be written as:
5(h + 3)
That would be your answer ^^
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｡☆✼★ ━━━━━━━━━━━━━━ ☾
Answer:
Step-by-step explanation: Let the number be x
5 times x = 3-h
5x =3-h
Solve the following inequality:
7 < 6.4+3(-6x – 4.3)
Answer:
X < -0.84
Step-by-step explanation:
Find the exact value of x. (25)^(x-20)=((1)/(125))^(x)
Answer:
x = 8
Step-by-step explanation:
[tex] {25}^{(x - 20)} = \frac{1}{ {125}^{x} } \\ \\ {5}^{2(x - 20)} = \frac{1}{ {5}^{3x} } \\ \\ {5}^{2x - 40} = {5}^{ - 3x} \\ \\ 2x - 40 = - 3x ..(bases \: are \: equal \: \\ therefore \: exponents \: will \: also \: be \: equal)\\ 2x + 3x = 40 \\ 5x = 40 \\ x = \frac{40}{5} \\ \huge \purple{ \boxed{ x = 8}}[/tex]
solve for the width in the formula for the area of a triangle
Answer: [tex]\frac{2A}{h} = w[/tex]
Step-by-step explanation:
The formula for area of a triangle is [tex]A = wh\frac{1}{2}[/tex]
Now we have to isolate for w.
First multiply by the 2 which is the reciprocal of 1/2 to cancel it out.
[tex]2A = wh\\[/tex]
Now divide by h to isolate w.
[tex]\frac{2A}{h} = w[/tex]
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
Step-by-step explanation:
C
Only do question 17
50 points
Topic: Percentage
Answer:
see below
Step-by-step explanation:
Cedarville
Year 1
1200 * 8% = 96 people
At the end the population is 1296
Year 2
1296 * 7% =90.72
1296+90.72 =1386.72 people
Pinedale
1200*15%=180
1200+180 = 1380
Cedarville has more people at the end of 2 years by 6.72 people
Please help me! “What is the equation of the vertical line through (-5, -2)?”
Answer:
x= -5
Step-by-step explanation:
Vertical lines go up and down so they have the same x value
x= -5
what is the product of -3xy^2 and (2x^2 - 4y)
Answer:
2 • (x2 - 2y)
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
2x2 - 4y
Step 2 : See below
Step 3 : See below
Pulling out like terms :
3.1 Pull out like factors :
Answer: 2 • (x2 - 2y)
Hope this helps.
Will mark brainliest!!!
A 3-pound piece of salami costs $14.99. A 12-ounce package of the same sliced salami costs $4.39. What is the difference in price per 4-ounce serving?
Answer
10.60$
Step-by-step explanation:
BRAINLIEST ASAP! PLEASE HELP :) A
break-even analysis includes operating expenses and total monthly debt payments, plus :
school costs
gross profit margin
net profit margin
zero term margin.
Write the quadratic function in the form f(x)=a(x-h)^2+k. Then, give the vertex of its graph. Finally, graph the function by plotting the vertex and four additional points, two on each side of the vertex. f(x)=-2x^2+16x-35
Answer:
[tex]f(x) = -2(x - 4)^2 -3[/tex]
Vertex = (4, -3)
Graph in the image attached, additional points:
(2, -11), (3, -5), (5, -5), (6, -11)
Step-by-step explanation:
The vertex of f(x) can be found using the formula:
[tex]x_{vertex} = -b/2a[/tex]
[tex]x_{vertex} = -16 / (-4)[/tex]
[tex]x_{vertex} = 4[/tex]
to find y_vertex, we use x_vertex in f(x):
[tex]f(x_{vertex}) = -2 * 4^2 + 16*4 - 35[/tex]
[tex]f(x_{vertex}) = -3[/tex]
So the vertex is (4, -3)
To write the function in the form [tex]f(x)=a(x-h)^2+k[/tex], we just need to calculate h = -b/2a and then find k:
[tex]h = -b/2a = -16/(-4) = 4[/tex]
[tex]f(x) = -2(x - 4)^2 + k = -2(x^2 - 8x + 16) + k = -2x^2 + 16x - 32 + k[/tex]
Comparing both forms of f(x), we have:
[tex]-32 + k = -35[/tex]
[tex]k = -3[/tex]
So we have:
[tex]f(x) = -2(x - 4)^2 -3[/tex]
Now let's find the four additional points.
Two points to the left: x = 3 and x = 2
[tex]f(3) = -2 * 3^2 + 16*3 - 35 = -5[/tex]
[tex]f(2) = -2 * 2^2 + 16*2 - 35 = -11[/tex]
Two points to the right: x = 5 and x = 6
[tex]f(5) = -2 * 5^2 + 16*5 - 35 = -5[/tex]
[tex]f(6) = -2 * 6^2 + 16*6 - 35 = -11[/tex]
Using factoring determine the zeros of f(x) = 4x + 11x – 3. The explain what the zeros
represent on the graph of f(x).
Answer:
Step-by-step explanation:
4x + 11x - 3 = 0
15x = 3
x = 5
5 is a zero of f(x).
On the graph of f(x), zeros represent the intercepts of the function with the y-axis.
what is the product of (9+x)(9-x)
Answer:
81 - x^2
Step-by-step explanation:
this is a "special product," namely, the product of the sum and the difference of quantities 9 and x.
The product is the difference of two squares:
(9 + x)(9 - x) = 81 - x^2
3(x + 6) – 2(x – 4) > 5(x + 2)
Answer:
4 >x
Step-by-step explanation:
3(x + 6) – 2(x – 4) > 5(x + 2)
Distribute
3x+18 -2x+8 > 5x+10
Combine like terms
x +26 > 5x+10
Subtract x from each side
x+26-x > 5x-x+10
26 > 4x+10
Subtract 10 from each side
26-10 >4x+10-10
16 >4x
Divide each side by 4
16/4 >4x/4
4 >x
Which rational number could be graphed between 0 and 1? A number line going from negative 5 to positive 3 in increments of 1.
A)Negative one-half
B)One-fourth
C)Three-halves
D)1.75
Answer:
d 1.75
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
cause that was the best option the other choice are all far away from between 0 and 1
In the Soft Boulder Cafe each table has 3 legs, each chair has 4 legs and all the customers and the three members of staff have two legs each. There are four chairs at each table. At a certain time, three-quarters of the chairs are occupied by customers and there are 206 legs altogether in the cafe. How many chairs does the cafe have?
Answer:
32 chairs
Step-by-step explanation:
In the soft Boulder cafe they a chairs , table and customers and the 3 members staffs.
Each Table = 3 legs
Each Chairs = 4 legs
Each customer = 2 legs
Each members of staffs = 2 legs
4 chairs goes with each table. This means 4 × 4 = 16 legs of chairs for each 3 legs of table.
At a certain time 3/4 of the chairs are occupied by customers. That is 3 out of 4 chairs are occupied plus 6 tables . Therefore,
3 + 16 + 6 = 25 legs of table
206 legs altogether - the 6 legs of the staff(3 staffs has 6 legs)= 200 legs
This means 200 legs = 8 tables. Therefore,
8 tables requires 32 chairs