No. Tripling the dimensions (the side of the square base and the height) would increase the surface area of the pyramid by a factor of [tex]3^2[/tex] or [tex]9[/tex]
Let
[tex]h=\text{the height of the pyramid}\\s=\text{length of one side of the square base}\\t=\text{total surface area of the pyramid}[/tex]
The total surface area of the square-based pyramid is given by
[tex]t=b(b+\sqrt{4h^2+b^2})[/tex]
Let the tripled dimensions be given by [tex]B=3b[/tex] and [tex]H=3h[/tex], then the new surface area will be
[tex]T=B(B+\sqrt{4H^2+B^2})\\=3b(3b+\sqrt{4(3h)^2+(3b)^2})\\=3b(3b+\sqrt{9(4h^2+b^2)})\\=3b(3b+3 \sqrt{4h^2+b^2})\\=9b(b+\sqrt{4h^2+b^2})\\=9t[/tex]
The new surface area will be greater than the original by a factor of [tex]9[/tex]
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Answer: It will be more than triple the area because you square the side to find the area of the base.
Step-by-step explanation:
It will be more than triple the area because you triple the side to find the area of the base. To calculate the surface area of a square pyramid, you need to first calculate the area of the base. To do this, you will need to multiply the length of one side of the square by itself (or square it). Since you are tripling the dimensions of the square pyramid, you will need to triple the side of the base, which will result in an area that is more than three times larger.
Help help help help help please please
Answer:
Angle 8
Step-by-step explanation:
Refer to the attached picture
how important is the 3 candle of advent?
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
The third candle which is pink or rose, represents Gaudette Sunday and the joy that the birth of Christ brought to the world. Traditionally, on Gaudette Sunday one takes a break from Advent fasting to experience the joy of the day.
In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 27 feet long with a wingspan of 18 feet. If the finished model will be 13.5 inches long, what will the wingspan be?
The length of the wingspan of the finished model based on the dimensions of the kit is 0.75 feet
Given:
Kit
Plane = 27 feet
wingspan = 18 feet
Model:
Plane = 13.5 inches
Wingspan = x feet
convert 13.5 inches to feet
1 feet = 12 inches
13.5 inches = 1.125 feet
So,
equate Ratio of plane to wingspan
27 : 18 = 1.125 : x
27/18 = 1.125 / x
cross product
27 × x = 18 × 1.125
27x = 20.25
x = 20.25/27
x = 0.75 feet
Therefore, the length of the wingspan of the finished model based on the dimensions of the kit is 0.75 feet
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Witch equation can be simplified to find the inverse of y=5x^2+10
Answer:
[tex]\huge\boxed{y=\sqrt{\dfrac{x-10}{2}}\ \text{for}\ x\geq10}[/tex]
Step-by-step explanation:
[tex]y=5x^2+10\\\\\text{exchange x to y and vice versa}\\\\x=5y^2+10\qquad|\text{subtract 10 from both sides}\\\\x-10=5y^2\qquad|\text{divide both sides by 5}\\\\\dfrac{x-10}{5}=y^2\\\\y^2=\dfrac{x-10}{5}\to y=\sqrt{\dfrac{x-10}{2}}[/tex]
How long will it take $5500 to grow to $7400 at an interest rate of 5% it the interest is compounded continuouslyRound the number of years to the
nearest hundredth
see score
Answer:
5.93 years
Step-by-step explanation:
The continuous compounding formula tells you the amount after t years will be ...
A = Pe^(rt) . . . . principal P compounded continuously at annual rate r for t years
7400 = 5500e^(0.05t)
ln(7400/5500) = 0.05t . . . . divide by 5500, take natural logs
t = 20×ln(74/55) ≈ 5.93
It will take about 5.93 years for $5500 to grow to $7400.
can someone pleasw helppppppp meee
Answer:
D. Modes are 2, 5, and 6
Step-by-step explanation:
The mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency..
How can multistep linear equations be written to represent different
scenarios?
Answer:
Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit
Select the correct answer.
Which phrase best describes the relationship indicated by the scatter plot?
a. constant Correlation
b. negative Correlation
c. Positive correlation
d. no correlation
Answer:
no correlation
Step-by-step explanation:
they arent in a line
The phrase that best describes the relationship indicated by the scatter plot is D. No correlation
What is a Scatter Plot?This refers to the use of dots to represent values for two different numeric variables.
Hence, we can see that the best description that can be used to show the relationship in the scatter plot is option D which is no correlation because they are not in a line.
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2,6,18,...
Find the 8th term.
Find the 8th term.
Answer:
4378
Step-by-step explanation:
Its clearly given that each term is multiplied by 3
I.e- 2×3 = 6
6×3= 18
and so on....
so here the G.P series is a=2 and r=3
To find the 8th term ar^8-1
ar^7 = 2×3^7
= 2×2187
= 4378
f(x)=x+1/x-2
find the inverse
HELP PLEASEE
What is the range of the graph below?
Answer:
d
Step-by-step explanation:
range is how far the graph goes from bottom to top.
Write as a product 4x^4+8x^3-2x^2
Answer:
764x
Step-by-step explanation:
4^4=256
8^3=512
2^2=4
256-4+512=764
764x
Answer:
2x^2(2x^2+4x-1)
Step-by-step explanation:
The GCF is 2x^2 so pull apart each number and you will get your answer.
ements
Question 8
1 pts
(08.02 MC)
Rewrite x2 - 2x - 3-0 in the form (x -a)? - b, where a and b are integers, to determine the a and b
values.
Oa-4 and b3
O a-3 and b 2
Oa-2 and b 1
Oa - 1 and b 4
Question 9
1 pts
Step-by-step explanation:
Given,
x² - 2x - 3 = 0
x² - (3x - x) - 3 = 0
x² - 3x + x - 3 = 0
x(x - 3) + 1(x - 3) = 0
(x - 3)(x + 1) = 0
x = 3 & -1
Now,
a and b are integers
So
a = 3 & b = -1 or
a = -1 & b = 3
Answer:
a = 3 , b = -1 or a = -1 , b = 3
Step-by-step explanation:
x² - 2x - 3 = 0
x² - 3x + 1x - 3 = 0
x ( x - 3 ) +1 ( x - 3 ) = 0
( x - 3 ) ( x + 1 ) = 0
So,
x - 3 = 0 or x + 1 = 0
x = 0 + 3 x = 0 - 1
x = 3 x = -1
Therefore,
( x - a) ( x - b )
As a and b are integers
It can be,
a = 3 , b = -1 or a = -1 , b = 3
Hope this helps you.
Let me know if you have any other questions :-)
HELP PLEASE
To divide the function f(x) by (x2-4x-12), we find that the quotient is Q(x) and the
remainder is (x+6). If f(-2)=a and f(6)=b, what is the value of b/a?
Answer:
b/a = 3
Step-by-step explanation:
f(x) / (x²-4x-12) = Q(x) + (x+6)/(x²-4x-12)
f(x) = Q(x)*(x²-4x-12) + (x+6)
x= - 2 ... when f(x) is f(-2) x²-4x-12 = 4+8-12 = 0
a = f(-2) = Q(x)*0 + (-2 + 6) = 4
x= 6 ... when f(x) is f(6) x²-4x-12 = 36-24-12 = 0
b = f(6) = Q(x)*0 + (6 + 6) = 12
b/a = 12/4 = 3
The population of New York state can be modeled by: 19.71 P(t) =
1 + 61.22e-0.03513tP is the population in millions
and t is the number of years since 1800
What was the population in 2020?
P(220) = [?] million
Round your answer to the nearest thousandth.
Answer:
19.193 million
Step-by-step explanation:
Put the given value in the formula and do the arithmetic.
P(220) = 19.71/(1 +61.22e^(-0.03513·220))
P(220) = 19.71/(1 +61.22e^-7.7286) = 19.71/(1 +0.02694046)
P(220) ≈ 19.193 . . . million
19.19293355
Nearest thousandth is 19.193
Pls help I’ll brainlest ASAP
Answer:
Slope: -1/4x
y-int: 2
Step-by-step explanation:
HELP 40 POINTS!!!!!!!!!
Select Is a Function or Is not a Function to correctly classify each relation.
Answer:
Is a functionIsn't a functionIs a functionIsn't a functionStep-by-step explanation:
Firs we need to understand what is a function-
from a set [tex]X[/tex] to a set [tex]Y[/tex] is an assignment of an element of [tex]Y[/tex] to each element of [tex]X[/tex].
This mean's that an element in [tex]X[/tex] can't have multiples values in [tex]Y[/tex], then if you find a coordinate with two different values, isn't a function.
Take for example the second data set:
[tex]\{(2, 3), (2, 5), (3,6), (9,4)\}[/tex]
All is good except for the first two coordinates because [tex]x[/tex] is define with two different values, then you can determinate that isn't a function.
Maybe you're confuses because exist some graphs that repeat values in [tex]x[/tex] as the graph of a circle, but this in reality isn't a function, is a relation. A relation can repeat values in the set [tex]X[/tex] infinity times but never is going to be a function.
5) Solve 5 - 2x < 7.
A) x < -1
B) x>-1
0x<-12
D) X > -12
Answer:
i think B. x>-1 is answer
Step-by-step explanation:
good luck
One weekend Bill earned 3 times as much as Jim. Tom earned $5 more than Jim. In all, they earned $60. How much did each earn?
Answer:
Step-by-step explanation:
J
B = 3J
T = J + 5
J + 3J + J + 5 = 60
5J = 55
J = $11
B = $33
T = $16
The amount earned by Jim, Bill and Tom is equal to [tex]\boldsymbol{\$ 11},\boldsymbol{\$ 33},\boldsymbol{\$ 16}[/tex].
"Important information"Let .
The amount earned by Jim be [tex]\boldsymbol{x}[/tex].
Amount earned by Bill [tex]=\boldsymbol{3x}[/tex]
Amount earned by Tom [tex]=\boldsymbol{x+5}[/tex]
Total amount earned by all [tex]=\boldsymbol{\$ 60}[/tex][tex]x+3x+x+5=60\\5x=55\\x=11[/tex]
So,
Amount earned by Jim [tex]=\boldsymbol{\$ 11}[/tex]
Amount earned by Bill [tex]=3(11)[/tex] [tex]=\boldsymbol{\$ 33}[/tex]
Amount earned by Tom [tex]=11+5[/tex] [tex]=\boldsymbol{\$ 16}[/tex]
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Estimate the quotient. 2,506 / 2
Answer:
1253
Step-by-step explanation:
2500/2 is 1250.
so 2506/2 will be a bit above.
1253 is an estimate
Select the correct answer.
What is the symbolic representation for this argument?
If a polygon has exactly three sides, then it is a triangle
Jeri drew a polygon with exactly three sides.
Therefore, Jeri drew a triangle.
Answer:
jeri drew a plgon with exatly three sides
Answer:
could you add the choices please
Step-by-step explanation:
it doesnt help without the choices
Pls pls pls pls pls pls pls pls ahh
Answer:
DO YOURE WORK!
Step-by-step explanation:
Please.
What is the solution to 12x=4x2+9? x=23
Answer:
x = 17/12
Step-by-step explanation:
12x = 4 x 2 +9
12x = 8 +9
12x = 17
x = 17/12 After divided
Find the length of the hypotenuse.Round to the nearest 10th if necessary.(40pts)
Answer:
5 is our hypotenuse
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
c is our hypotenuse
[tex]3^{2} + 4^{2} = c^2[/tex]
[tex]9 + 16 = 25[/tex]
[tex]25 = c^{2}[/tex]
c = 5
5 is our hypotenuse
Answer:
x = 5
Step-by-step explanation:
[tex]c=\sqrt{a^2+b^2} \\a= \sqrt{3^2+4^2} \\c=\sqrt{9+16} \\c= \sqrt{25} \\c= 5[/tex]
NEED NOW PLEASE.....
Answer:
2+(-6)
Step-by-step explanation:
hope this helps
Plz help me NOW I will mark you brainliest
Answer:
[tex] \frac{mn}{p} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Hello help please please I need help help help
Answer:
45
Step-by-step explanation:
They are both the same length-
Find all perfect squares between 100 and 300.
Answer: The answer in the first image.
Explanation: The explanation is in the second image.
What is the inverse of y=5x-5
Answer:the answer is in the picture below
Step-by-step explanation:plz give brainlist
