Answer:
The new surface area would be 9 times larger than the original surface area.
Step-by-step explanation:
Here we do not know what was the original shape, but we will see that it does not matter.
Let's start with a square of side length L.
The original area of this square will be:
A = L^2
Now if each dimension is tripled, then all the sides of the square now will be equal to 3*L
Then the new area of the square is:
A' = (3*L)^2 = (3*L)*(3*L) = 9*L^2 = 9*A
So the new surface area is 9 times the original one.
Now, if the figure was a circle instead of a square?
For a circle of radius R, the area is:
A = pi*R^2
where pi = 3.14
Now if the dimensions of the circle are tripled, the new radius will be 3*R
Then the new area of the circle is:
A' = pi*(3*R)^2 = pi*9*R^2 = 9*(pi*R^2) = 9*A
Again, the new area is 9 times the original one.
If the figure is a triangle?
We know that for a triangle of base B and height H, the area is:
A = B*H/2
If we triple each measure, we will have a base 3*B and a height 3*H
Then the new area is:
A' = (3*B)*(3*H)/2 = (3*3)*(B*H/2) = 9*(B*H/2) = 9*A
Again, the new area is 9 times the original area.
So we can conclude that for any shape, the new area will be 9 times the original area.
1cm 8cm 4cm: surface area
Answer:
Perimeter of Triangle sum of all sides.
=13 cm
Answer:
heres ur answer good luck
https://www.web-formulas.com/Math_Formulas/Geometry_Surface_of_Cube.aspx
Step-by-step explanation:
PLEASSE HELP!!! find the midpoint
Answer:
Option B --> (8, -5)
Step-by-step explanation:
To find the midpoint, we use the equation-
[tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2}[/tex]
The coordinates given were (8, -2) (8, -8)
x1= 8,
x2 = 8
y1 = -2
y2= -8
Substituting these values in the equation:-
[tex]\frac{8+ 8}{2} , \frac{-2 + -8}{2}[/tex]
[tex]\frac{16}{2} , \frac{-10}{2}[/tex]
Coordinates of midpoint will be ---> (8, -5)
If I have a circle with a raduis of 2 and I want to increase the raduis to 16, what is the scale factor?
4
6
8
12
Answer:
8
Step-by-step explanation:
2 * 8 = 16
Out of 400 people sampled, 368 had kids. Based on this, construct a 95% confidence interval for the true
population proportion of people with kids.
Give your answers as decimals, to three places
Answer:8.7
Step-by-step explanation:
Which of the following is a true statement about perpendicular lines?
A.
Perpendicular lines intersect to form a 45° angle.
B.
Perpendicular lines intersect at exactly one point.
C.
Perpendicular lines can also be parallel lines.
D.
Perpendicular lines intersect in at least two points.
Answer:
B.
Step-by-step explanation:
Perpendicular lines intersect at exactly one point.
(perpendicular lines form an x with right angles)
HELP MEH ples.....................
Answer:
683cm
Step-by-step explanation:
Pay attention next time
Answer:
[tex] \displaystyle A_{ \text{surface}} = 42cm ^{2} [/tex]
Step-by-step explanation:
we are given the base area of a cube
recall the surface area formula of a cube
[tex] \displaystyle A_{ \text{surface}} = 6( {a}^{2} )[/tex]
notice that, we are given the base area 7cm² in other words we are given a² i.e 7cm²
Thus substitute:
[tex] \displaystyle A_{ \text{surface}} = 6( 7 )cm ^{2} [/tex]
simplify multiplication:
[tex] \displaystyle A_{ \text{surface}} = 42cm ^{2} [/tex]
and we are done!
The volume of a cube is 365cm3.
Work out the length of its side rounded to 1 DP.
Answer:
12.4
Step-by-step explanation:
rounded to 1dp
please mark as brainliest if correct
thank you
Answer:
12.4 is the answer.
Step-by-step explanation:
#CarryOnLearningFind the output y when the input x is -4
y=?
PLZ HELP
HELP FOR TEST PLZ
find measure of angle 1
Answer:
the answer should be 98
Step-by-step explanation:
try it
Which expression is equivalent to left parenthesis 5 to the power of negative 2 end exponent right parenthesis to the power of 5 space x space 5 to the power of 4 ?
Answer:
[tex]\frac{1}{5^6}[/tex]
Step-by-step explanation:
Given the expression (5⁻²)⁵ ₓ 5⁴
According to indices
(a^m)^n = a^{mn}
(5⁻²)⁵ = (5⁻¹⁰)
(5⁻²)⁵ ₓ 5⁴
= 5⁻¹⁰ ₓ 5⁴
= 5⁻¹⁰⁺⁴
= 5⁻⁶
Hence the equivalent expression is [tex]\frac{1}{5^6}[/tex]
Which is an equivalent form of the expression 1800(1.2)-t
Question: Which is an equivalent form of the expression 1800(1.2)-t?
Answer: 1800 (5/6)-t
7x2 + 49x - 56
What is the GCF? (If there is no GCF, type "na")
When going through the process of determining the factors after removing any possible GCFs, the two factors need to:
•add up to______x
• multiply to_______
Answer:
na
Step-by-step explanation:
i know it already
What is the vertex for this function? y=2x2−12x+16
Answer:
(3,-2)
Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex
what would be the most appropriate domain for the functions
Answer:
Plz subscribe my Gaming channel Sameer Duos
Step-by-step explanation:
The correct answer is whole number
Triangle HIJ is similar to triangle KLM. Find the measure of side LM. Figures are not
drawn to scale.
Answer:
ML = 12.8
Step-by-step explanation:
24/6.4 = 48/ML
24ML = 307.2
ML = 12.8
Don’t really understand what to do need help please
Step-by-step explanation:
You need to multiple 3 for 15 and gain for12 times.
Compare which one is greater .
Write the greatest answer.
Similarly you need to do same process to next question according to power.
Answer:
27 & 16
Step-by-step explanation:
Just take like in example one:
3^15 and 3^12
You do
15-12=3
Then- 3^3=27!!
For the second:
4^10-4^8
10-8=2
4^2=16
Hope that's easy to understand!
While on an 8.0 h trip, a car traveled for 3.5 h at an average speed of 90 km/h before stopping for 1.0 h. The car then traveled for 2.0 h at an average speed of 80.0 km/h For the last 1.5 h, the car traveled at an average speed of only 70.0 km/h. What was the average speed of the car for the entire 8.0 h trip?
Answer:
72.5 km/h
Step-by-step explanation:
Multiply the km/h by how many hours your going at that speed/total number of hours on trip.
(90x(3.5/8))+(80x(2/8))+(70x(1.5/8))
39.375+20.5+13.125
72.5km/h
Erin is ordering a laptop computer. The computer costs $1,360.00, and there is a 6% sales tax.
What is the amount of sales tax Erin will owe for her computer?
Answer:
$81.6
Step-by-step explanation:
(1,360.00)(6%)=81.6
select the expression that has a sum of 75/100
a.70/100 + 4/10
b.68/100 + 6/10
c.6/10 + 12/100
d.4/10+ 34/100
Answer:
See below
Step-by-step explanation:
70/100 + 4/10 is equivalent to 70/100 + 40/100 which equals 110/100.
68/100 + 6/10 is equivalent to 68/100 + 60/100 which equals 128/100.
6/10 + 12/100 is equivalent to 60/100 + 12/100 which equals 72/100.
4/10 + 34/100 is equivalent to 40/100 + 34/100 which equals 74/100.
None of them equal 75/100, however if you were looking for 74/100 or 72/100, check above.
19. The function f(x) = 27x – 67.5 has an
* -intercept at (a,0). The function g(x) is
defined in the table below and has an
x-intercept at (b,0). How much greater is the
value of b than the value of a?
Answer:
First we have the function f(x) = 27*x - 67.5
It has an x-intercept at (a, 0)
This means that:
f(a) = 0 = 27*a - 67.5
Solving the above equation we can find the value of a.
0 = 27*a - 67.5
67.5 = 27*a
67.5/27 = a = 2.5
Now let's look at equation g(x).
It is a linear equation, remember that a linear equation can be written as:
g(x) = y = A*x + B
Where:
A is the slope, and B is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂. y₂), the slope can be written as:
A = (y₂ - y₁)/(x₂ - x₁)
In this case we can select any two points from the table, for example, I will use the second and third points:
(1, 39) and (2, 32.5)
Then the slope is:
A = (32.5 - 39)/(2 - 1) = -6.5/1 = -6.5
Then the equation is something like:
g(x) = y = -6.5*x + B
B is the y-intercept, to find this value, we can use one of the two points we used before.
For example, (1, 39) means that g(1) = 39
Then:
g(1) = -6.5*1 + B = 39
= B = 39 + 6.5 = 45.5
Then the equation for g(x) is:
g(x) = -6.5*x + 45.5
Now, we know that g(x) has an x-intercept at (b, 0)
this means that:
g(b) = 0 = -6.5*b + 45.5
6.5*b = 45.5
b = 45.5/6.5 = 7
Then the difference between b and a is:
b - a = 7 - 2.5 = 4.5
b is equal to a plus 4.5
And the ratio is:
b/a = 7/2.5 = 2.8
b is 2,8 times larger than a.
hii please help asap ill give brainliest thanks
Answer: B) established a strong, central government
Answer:
The emperor Chandragupta is established a strong, centralized government
Select the correct answer.
What is the corresponding point on the unit circle for the given radian measure?
0 = 7pi/6
Answer:
Answer is B: (-sqrt(3/2 , -1/2)
Step-by-step explanation:
First convert radians to degrees
theta = (7pi/6)*(180/pi)
=210 degrees
Cos(210 degrees)= -sqrt3/2
Thats the x coordinate
sin(210 degrees)= -1/2
thats the y coordinate
Answer:
The corresponding point on the unit circle for the radian measure is [tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]
Step-by-step explanation:
What is unit circle?
A unit circle is typically drawn around the origin (0,0) of a X,Y axes with a radius of 1.
What is radian measure?
One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle.
The radian measure is,
α=[tex]\frac{7\pi }{8}[/tex]
Changing to degree measure,
[tex]\frac{7\pi }{6} *\frac{180}{\pi } \\=210^{o}[/tex]
The measure on the unit circle is,
(cos [tex]\alpha[/tex] , sin [tex]\alpha[/tex])=(cos 210 , sin 210)
=[tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]
Option A.
To know more about unit circle, radian measure here
https://brainly.com/question/10675916
#SPJ2
Need help fast
Thank you !!!!
Answer:
B) height = 5√3
Step-by-step explanation:
height² = 10² - 5² = 100 - 25 = 75
height = √75 = 5√3
A collection of stamps consists of 22¢ stamps and 40¢ stamps. The number of 22¢ stamps is three more than four times the number of 40¢ stamps. The total value of the stamps is $8.34. Find the number of 22¢ stamps in the collection
Answer:
27
Step-by-step explanation:
Let :
Number of 40¢ = x
Number of 22¢ = 4x + 3
Total stamp value = $8.34 = (8.34 * 100) = 834¢
40¢x + 22¢(4x + 3) = 834¢
40x + 88x + 66 = 834
128x = 834 - 66
128x = 768
x = 768 / 128
x = 6
Number of 22¢ stamp:
4(6) + 3 = 24 + 3 = 27
A sequence is defined by the rule a= -3(2) n-1 . What is the 5th term of the sequence
Can someone turn this into y=ax+b form with your work?
Step-by-step explanation:
given
2x + y = 13
turning to y = ax + b we get
y = - 2x + 13
hope it helps :)❤
The height, h, of a baseball thrown upward with an initial velocity of 10
feet per second from 6 feet above the ground is modeled by the function
h = -16x2 + 10x + 6, where x is the time in seconds. How long does it
take before the ball hits the ground?
Answer:
1 second
Step-by-step explanation:
use the general quadratic formula
20 points!! Pls help me out!!
Answer: C. J=5
Step-by-step explanation: Hope this help :D
PLS I NEED HELP
Which angle pair relationship shows that two lines are parallel?
a. Two alternate interior angles are supplementary.
b. Two vertical angles are congruent.
c. Two corresponding angles are congruent.
d. Two adjacent angles are supplementary.
Answer:
The answer is C I know that is right
what is wrong with the information given in the diagram?
Answer:
the answer is c
Step-by-step explanation:
inscribed angles made by same base should be equal
