Answer:
volume = 13500 [tex]cm^{3}[/tex]
Step-by-step explanation:
For a given pyramid, its volume can be determined by:
volume of pyramid = [tex]\frac{lwh}{3}[/tex]
Where: l is the base length, w is the base width and h id the height of the pyramid.
For the given question, l 30 cm, w = 30 cm and h = 45 cm.
So that,
volume = [tex]\frac{30*30*45}{3}[/tex]
= [tex]\frac{40500}{3}[/tex]
= 13500
volume = 13500 [tex]cm^{3}[/tex]
The volume of the pyramid is 13500 [tex]cm^{3}[/tex].
The volume of the square-based pyramid is [tex]13500cm^3[/tex]
The volume of a pyramid is given by
[tex]V=\dfrac{Ah}{3}[/tex]
where
[tex]A=\text{area of the square base}\\h=\text{perpendicular height}[/tex]
The area of the square base, [tex]A[/tex], is calculated as follows
[tex]A=side^2\\=(30cm)^2\\=900cm^2[/tex]
substitute the value of [tex]A[/tex], and [tex]h[/tex] ([tex]45cm[/tex]) into the volume formula to calculate the pyramid's volume
[tex]V=\dfrac{Ah}{3}\\\\=\dfrac{900\times 45}{3}\\\\=13500cm^3[/tex]
Therefore, the volume of the pyramid is [tex]13500cm^3[/tex]
Learn more about volume of pyramids here: https://brainly.com/question/1260835
Joe’s Coffee is having a stained glass window installed on their front door. Approximately how much glass will be needed to create the stained glass window?
PLSS USE STEPSSS!!!!
A) 2.4
B) 9.6
C) 11
D) 38.5
[tex]\color{plum}\tt \: D) 38.5 [/tex]
Steps to derive correct answer :Diameter of the stained glass window Joey needs = 3.5
Area of the window = quantity of glass Joey needs
Area of the window :
[tex] = \tt\pi {r}^{2} [/tex]
[tex] = \tt3.14 \times 3.5 \times 3.5[/tex]
[tex] =\tt 3.14 \times 12.25[/tex]
[tex] =\tt 38.46[/tex]
38.46 can be rounded off to 38.5.
Therefore, quantity of glass needed to make the stained glass window = 38.5
10. How much interest will be earned in 4 years
from $2,450 placed in a savings account at 62 %
simple interest?
Answer:
$6100.80
Step-by-step explanation:
Ocean waves move in parallel lines toward the shore. The figure shows the path that a windsurfer takes
across several waves. For this exercise, think of the windsurfer's wake as a line. Ifm 21 = (5x + 5y)" and
m 22 = (5x + y)', find x andy.
Answer:
nopw
Step-by-step explanation:
Find the slope of the line y = 5/8x - 1/2
Answer:
slope = [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
Slope-intercept form is the way in which an equation is written to easily identify the line's slope and y-intercept. It is represented by the equation y = mx + b, in which m represents the slope.
By looking at the equation, we can see that it takes the y = mx + b format - y is isolated - therefore it is in slope-intercept form. Remember that the number in place of the m would represent the slope - and in this case, that number is [tex]\frac{5}{8}[/tex].
Final Answer:
[tex]\sf{Slope = \dfrac{5}{8}}\\\sf{Y-intercept: -\dfrac{1}{2}}[/tex]
In-depth explanation:
The question is asking us to find the slope of the line, whose equation is;
[tex]\leadsto\quad\bf{y=\dfrac{5}{8}x-\dfrac{1}{2}}[/tex]
The format of this equation is: [tex]\boldsymbol{\sf{y=mx+b}}[/tex]. This is known as slope-intercept; it's the most common way of writing the equation of a line.
In y = mx + b, the variable "m" denotes the slope, or the rate of change, of a line; b denotes the y-intercept, or the point where the line intercepts the y-axis.
Also, the slope is the number before x, while b is the constant term.
Similarly, the slope is 5/8 and the y-intercept is -1/2.
[tex]\rule{350}{2}[/tex]
Amy sells tote bags at a craft fair for a day. She pays $50 to rent a booth. The materials and labor cost on each tote bag is $3.50. Her expenses for the day depend on how many tote bags she sells. Write a linear function rule and identify the initial value and rate of change.
Answer:
Let x= number of totebags sold
Cost=C(x)=50+3.5x
Martin purchased a book. The receipt says that the total cost of the book is $11.65, including a 6% sales tax. What was the original price of the book without the tax?
Answer:
11.65$ : 100% = x : 94
94 because 100 - 6
Step-by-step explanation:
Do this:
11.65 x 94 = ?
divide the answer by 100
and that is your answer
Solve for b, y = 2x + b
Answer:
B = 2x/y - 1 is your answer
Step-by-step explanation:
Answer:
b= y-2x
Solve for b by simplifying both sides of the equation then isolating the variable.
Please help
Leila will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $40 and costs an additional $0.13 per mile driven. The second plan has an initial fee of $53 and costs an additional $0.08 per mile driven
9514 1404 393
Answer:
260 miles$73.80Step-by-step explanation:
The cost of each plan (y) is the sum of the initial fee and the product of the mileage charge and the number of miles (x).
First Plan: y = 40 +0.13x
Second Plan: y = 53 +0.08x
__
We can find when the costs are the same by solving this system of equations. A way to do that is to subtract the second equation from the first:
(y) -(y) = (40 +0.13x) -(53 +0.08x)
0 = -13 +0.05x
Multiplying by 20 gives ...
0 = -260 +x
Adding 260, we have ...
x = 260
The plans cost the same for 260 miles of driving.
__
The cost of the plans for that distance is ...
y = 40 +0.13x = 40 +0.13(260) = 40 +33.80
y = 73.80
The cost when the two plans cost the same is $73.80.
A 24-foot ladder is placed 7ft from the wall, (as shown)
if the top of the ladder slips down 4 ft, how many feet will the bottom slide out?
a. 4 feet
b. 8 feet
c. 15 feet
d. 20 feet
anyone who answers this (first) will get 15 points!
A standard six-sided die is rolled. What is the probability of rolling a number greater than 5 ? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
Answer:
the probability is one in 6
Step-by-step explanation:
there are 6 sides on a basic die and so the only number higher than 5 is 6. you have a 1/6 chance.
I get a 15% discount at Ann Taylor Loft. If I find a shirt I like for $20, how much will I have to pay for it?
rotate the triangle through 180 degrees about the origin?
Answer:
Step-by-step explanation:
Sarah and Eva took a road trip. Sarah drove two-fifths of the miles. If she drove 128 miles , how many total miles did they drive?
I need the answer without x being the equal. thanks!
Answer: 320 miles
Step-by-step explanation:
Let the miles that they drove be represented by x.
Since Sarah drove two-fifths of the miles which is 128 miles, then the total miles would be:
= 2/5 × x = 128
0.4 × x = 128
0.4x = 128
x = 128/0.4
x = 320
The total miles is 320 miles.
1, 4/3,16/9
Find the 9th term.
Answer:
The 9th term of the sequence is:
[tex]a_9=\frac{65536}{6561}[/tex]Step-by-step explanation:
Given the sequence
1, 4/3,16/9
computing the ratios of all the adjacent terms
[tex]\frac{\frac{4}{3}}{1}=\frac{4}{3},\:\quad \frac{\frac{16}{9}}{\frac{4}{3}}=\frac{4}{3}[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]r=\frac{4}{3}[/tex]
A geometric sequence has a constant ratio 'r' and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
As
[tex]a_1=1[/tex][tex]r=\frac{4}{3}[/tex]so substituting [tex]a_1=1[/tex] and [tex]r=\frac{4}{3}[/tex] in the nth term of the equation
[tex]a_n=a_1\cdot r^{n-1}[/tex]
[tex]a_n=\left(\frac{4}{3}\right)^{n-1}[/tex]
Now, substitute n = 9 to determine the 9th term
[tex]a_9=\left(\frac{4}{3}\right)^{9-1}[/tex]
[tex]a_9=\left(\frac{4}{3}\right)^8[/tex]
[tex]a_9=\frac{4^8}{3^8}[/tex]
[tex]a_9=\frac{65536}{6561}[/tex]
Therefore, the 9th term of the sequence is:
[tex]a_9=\frac{65536}{6561}[/tex]Can Somebody Please Help Me With This!!
Answer:
I think A
Step-by-step explanation:
sorry if it is not correct hope it helps
Answer:
I cant see the numbers clearly but I think its 24
Which equation represents the slope-intercept form of the line below?
y-intercept = (0,3)
slope = 4
O A. y = 3x + 4
O B. y = 3x - 4
O C. y = 4x-3
D. y = 4x + 3
help asap
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4 and c = 3, then
y = 4x + 3 → D
Answer:
b
Step-by-step explanation:
please help√√√:-) 1111
Answer: 1246 for the first and 1400 for the second
Step-by-step explanation:
Fill in the blank Eyes blue like ____ ______
Answer:
the Atlantic
Answer:
the Atlantic....
Step-by-step explanation:
thanks for the points and have a nice day ._.
What are the answers to these questions
Match the vocabulary terms to the correct definitions.
1. the set of second coordinates in a relation, all possible y values in a function
linear function
2. a function which has one or two variables with no powers, this functions’ graph will always be a straight line
domain
3. the set of first coordinates in a relation, all possible x values in a function
range
4. a function which contains an expression within absolute value symbols
absolute value function
Answer:
Linear Function - A function that has one or two variables with no powers, this graph will always be a straight line. Domain - the set of second coordinates in a relation, all possible y values in a function . Range - the set of first coordinates in a relation, all possible x values in a function . Absolute Value function - A function which contains an expression within absolute value symbols . Step-by-step explanation: To be honest i guessed so if theses are wrong i am sorry . I really just wanted to help .
Linear Function - A function that has one or two variables with no powers, this graph will always be a straight line.
Domain - the set of second coordinates in a relation, all possible y values in a function .
Range - the set of first coordinates in a relation, all possible x values in a function . Absolute Value function -
A function which contains an expression within absolute value symbols .
Step-by-step explanation: To be honest i guessed so if theses are wrong i am sorry . I really just wanted to help .
Jim buys a skateboard for $200. The value of the skateboard depreciates by 15% each year
since buying it. Create a function to represent the value of the skateboard, f(2), in dollars,
after 3 years since buying it.
Answer: f(x)=200•(0.85)^x
Step-by-step explanation:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.
Identify the horizontal asymptote of each graph.
y = 0
y = 1
y = 6
Identify the horizontal asymptote of each graph.
y = 0
y = –3
y = –5
Answer:
y = 0 and y = -3
Step-by-step explanation:
The horizontal asymptote of each graph is:
1. y=0
2. y= -3
What is asymptote?An asymptote of a curve y = f (x) that has an infinite branch is called a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.
1.Given function:
t(x)= [tex]6^{x}[/tex]
If we apply limit x→∞, then we get y=c as horizontal asymptote
So, [tex]\lim_{x \to \infty} 6^{x}[/tex]= 0
Hence, the asymptote will by y=0.
2. Given function:
t(x)= [tex]5^{x}[/tex]-3
If we apply limit x→∞, then we get y=c as horizontal asymptote
So, [tex]\lim_{x \to \infty} 5^{x} -3[/tex]= -3
Hence, the asymptote will by y=-3.
Learn more about asymptote here:
https://brainly.com/question/4608493
#SPJ2
A scuba diver has a taut rope connecting the dive boat to an anchor on the ocean floor. The rope is 95 feet long and the water is 40 feet deep. To the nearest tenth of a foot, how far is the anchor from a point directly below the boat?
7,425 ft
86.2 ft
103.1 ft
3,712.5 ft
*sits in a corner rocking back and forth*
Answer:
-12 is the answer.
Step-by-step explanation:
-12 - (-5) = -7
The two negative one right after another turns into a plus, or +.
-12 + 5 = -7
Think of 5 positive things and -12 negative things.
O O O O O
P P P P P P P P P P P P
5 of the positive things will cancel out 5 of the negative things, leaving behind 7 negative things.
#teamtrees #WAP (Water And Plant)
How many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches, lengths 3 1/3 inches, and height 2 1/3 inches?
Answer:
560 cubes
Step-by-step explanation:
width: 8 cubes
length: 10 cubes
height: 7 cubes
volume: 8*10*7=560
divided l, w, and h by 1/3 to get them in cubes
Answer:
Step-by-step explanation:
The awnser is multiply by 9 then multiply by 2
i really need help please!!!
Answer:
5x-4y=0
Step-by-step explanation:
[tex]\frac{5-0}{4-0} =\frac{y-0}{x-0} \\ 5x-4y=0[/tex]
What is the solution of each equation?
2(h - 8) - h = h - 16
a
no solution
b
infinitely many solutions
c
8
d
-8
Middleton, Colorado, hosted a youth soccer tournament. Youth soccer fields vary in size per the age of the players. The field for the nine‐ and ten‐year‐old players was 75 yards long by 45 yards wide. The field for the 11‐14‐year‐old players was proportionally larger. If the length of the field for the 11‐14‐year‐old players was 100 yards, what was the width?
Answer:
The correct answer is 60!
Step-by-step explanation:
Remember, 3/4 is 0.75.
75/100 = 3/4
45/60= 3/4
The equation explains that 75/100 is a fraction that it equal to 3/4, which is 0.75 as a decimal. 60 is the digit that is the denominator to 45, getting 3/4, or 0.75 also. So the width of the 11-14 year-old soccer field is 60 yards.
The width when the length of the field for the 11‐14‐year‐old players was 100 yards should be considered as the 60.
Calculation of the width:Since we know that 75 by 100 is three-fourth
And, 45 by 60 is also three-fourth
Also, there is field for the nine‐ and ten‐year‐old players was 75 yards long by 45 yards wide.
So based on this, The width when the length of the field for the 11‐14‐year‐old players was 100 yards should be considered as the 60.
Learn more about width here: https://brainly.com/question/19461476
Hiiii Can someone please help me please
A, B, C, or D
F, G, H, or J
Ill give lots of points because there's two Please help me thank you BRAINLIEST ANSWER btw ❤️
Answer:
B, H
Step-by-step explanation:
The electrician charges 45 dollars per hour and 30 at the beginning. We are multiplying the hours, h, by 45 to get 45h. We add 30 to get C=45h+30
Jerome will always earn 75 dollars, but he also gets 10 percent commission, which is 0.10.
Answer:
B and H are the correct answers
How do you graph g(x)=f(x)+5