Answer:
A
Step-by-step explanation:
The required surface area is multiplied by a factor of 25 or 5 to 2. Option C is correct.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
The lateral surface area of a pyramid is given by the formula:
L = (1/2) * P * l
where P is the perimeter of the base and l is the slant height.
In this case, the perimeter of the base is 5 * 5 = 25 centimeters.
So the lateral surface area of the original pyramid is
L = (1/2) * 5 * 8 = 20 square centimeters.
Total area = 4[20] + 25 = 105
When the sides of the base and the slant height are each multiplied by 5, the new perimeter of the base is 5 * 5 * 5 = 125 centimeters and the new slant height is 8 * 5 = 40 centimeters.
So the lateral surface area of the new pyramid is
L = (1/2) * 25 * 40 = 500 square centimeters.
Total area = 4{500} + 125 = 2125
Therefore, the surface area is multiplied by a factor of 2125/105 = 25.
Learn more about the surface area here: https://brainly.com/question/2835293
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Sebastian is going to deposit $790 in an account that earns 6.8% interest compounded annually his wife Yolanda will deposit $815 in an account that earns 7.2% simple interest each year they deposit the money on the same day and no additional deposits or withdrawals for the accounts which statement is true concerning Sebastian's in Yolanda's account balances after 3 years
Answer:
Step-by-step explanation:
Complete question
A) Sebastian's account will have about $28.67 less than Yolanda's account. B) Sebastian's account will have about $9.78 less than Yolanda's account. C) Yolanda's account will have about $28.67 less than Sebastian's account. D) Yolanda's account will have about $9.78 less than Sebastian's account.
For Sebastian
Amount = [tex]P (1 + \frac{r}{n})^{nt}[/tex]
Substituting the given values we get
A =
[tex]790 (1 + \frac{6.8}{100*1})^{3*1} \\962.367[/tex]
For Yolanda
Amount [tex]= P(1+rt)[/tex]
[tex]A = 815 (1 + \frac{7.2}{100}*3)\\A = 991.04[/tex]
Yolanda's account will have about $28.67 less than Sebastian's account
Option C is correct
Right answer gets brainlist !!
Robert takes out a loan for $7200 at a 4.3% rate for 2 years. What is the loan future value?
Answer: 7,833
Step-by-step explanation:
escribe con letra 0.00125
Answer:
zero point zero zero one two five
Step-by-step explanation:
Which point on the graph represents the y-intercept?
Please help! This is my last question and I can’t get it... I gave the most points I could. (I will also mark you the brainliest if it works)
Answer:
18.
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP
WITH 2D AND 3A ONLY, PLEASE SHOW YOUR WORKING
Answer:
2d) d = 60°
3a) x = 50°
Step-by-step explanation:
2d) both of the diagonals pass through the centre of the circle and divide the rectangle into 4 triangles,then it means that;
30 + d = 90°
d = 90 - 30
d = 60°
3a) since O is the centre of the circle, and we can see that the 2 chords directly above and below the centre are parallel to each other, it means that angle x = 50° since the two sides projecting from the centre to form x° and 50° are equal and in essence used to form isosceles triangle.
Given the definitions of f(x) and g(x) below, find the value of (gof)(1).
f(x) = 2x² – 2x – 4
g(x) = -5x + 14
Answer:
[tex](g*f)(x) = 34[/tex]
Step-by-step explanation:
For sake of clarity, [tex](g * f)(x) = g(f(x))[/tex]
First, find [tex]f(1)[/tex]
[tex]f(1) = 2(1)^2 - 2(1) - 4\\f(1) = 2-2-4 \\f(1)=-4[/tex]
Then, take what you got for [tex]f(1)[/tex] and plug that into [tex]g(x)[/tex]. In this case, [tex]f(1) = -4[/tex]
[tex]g(-4) = -5(-4) + 14\\g(-4)= 20 + 14\\g(-4) = 34[/tex]
Please make sure to mark brainliest if this satisfies your
Cari is searching online for airline tickets. Two weeks ago, the cost to fly from Boston to Hartiord was
$225. Now the cost is $335. What is the percent increase? What would be the percent increase the
ainline charges an additional $50 baggage fee with the new ticket price?
The percent increase of the airline ticket is %
Answer:
The percent of the air ticket went up 148% plus the baggage fee would be 168%. The new total is 420$
Step-by-step explanation:
In figure find the value of x triangle PQR
Answer:
x = 35
m<PQR = 70
Step-by-step explanation:
This is an isoceles triangle so the base angles are the same and they all add up to 180 so:
2x + 2x + 40 = 180
4x + 40 = 180
4x = 140
x = 35
m<PQR:
2x
2(35)
70
Factor 9z^2 - 6x +1.
pls will mark you brainiest
Answer:
It is not factorable
Step-by-step explanation:
The expression is not factorable with rational numbers.
Answer:
This is not factorable.
Step-by-step explanation:
This is not factorable.
(x – 6)2 = y + 7, find the vertex.
Evaluate the expression for the given value.
2w+2l, when w=7, l=5
Answer:
2w+2l.
2(7)+2(5).
14+10.
24.
what is the slope and y intercept of the line with equation 3x-6y=7
Answer:
x intercept = (7/3, 0)
y intercept = (0, -7/6)
slope = 1/2
Step-by-step explanation:
PLEASE HELP WITH MY HOMEWORK SCREEN SHOT ATTACTCHED
Answer:
first, second and fourth are all correct
Step-by-step explanation:
Write an equation of the line perpendicular to the given line that contains P.
HELP PLEASE VERY MUCH AND THANK YOU!!! look at screenshot
Answer:
They are both correcte
Step-by-step explanation:
Imagine a pizza with 6 slices
Half of 6 slices is 3 slices, or 3/6
If you simplify 3/6, you will get 1/2
So, both fractions are equal, but in different forms.
For better context see images below!
An adult pass is 3 times as much as a child's pass. What is the cost of the adults pass? Write an expression for the situation
Answer:
however much the Child's pass is x 3 = Adult Pass cost
Step-by-step explanation:
Student Council is selling T-shirts to raise money for new volleyball equipment. There is a fixed cost of
$200 for producing the T-shirts, plus a variable cost of $5 per T-shirt made. Council has decided to sell
the T-shirts for $8 each.
A. Write an equation to represent the total cost, C, as a function of the number, n, of T-shirts
produced.
B. Write an equation to represent the revenue, R, as a function of the number, n, of T-shirts
produced
C. Profit, P, is the difference between revenue (R(n)) and expenses (C(n)). Develop an algebraic
function to model the profit.
D. How many T-shirts does the Student Council have to sell to "break even," make a $0 profit?
Answer:
It is A
Write an equation to represent the total cost, C, as a function of the number, n, of T-shirts
produced.
Step-by-step explanation:
:)
Consider the points A (-1, 1), B (1,5) and C (5, 1). M is the midpoint of AB, and N is the
midpoint of BC.
Show that MN is parallel to AC
Step-by-step explanation:
IN ΔAMN ΔABC
Since MN∣∣BC
∠AMN=∠ABC (Corresponding angles)
∠ANM=∠ACB (Corresponding angles)
∴ΔAMN∼ΔABC(By $$AA similarity criterion)
⇒
AB
AM
=
AC
AN
=
BC
MN
(CPST)
Since, M is mid-point of AB,
AM=
2
1
AB,or,
AB
AM
=
2
1
or,
AB
AM
=
AC
AN
=
2
1
AC
AN
=
2
1
5
AN
=
2
1
[∵AC=5cm]
AN=
2
5
cm=2.5cm
Also,
AB
AM
=
BC
MN
=
2
1
7
MN
=
2
1
[∵BC=7cm]
MN=
2
7
=3.5
Ans=AN=2.5cm and MN=3.5cm
solution
Find the eighth term of a geometric sequence for which a,3 = 35 and r= 7.
Answer:
588245.
Step-by-step explanation:
nth term = an = a1 r^(n-1) where a1 = the first term
a3 = 35 = a1 7^(3 - 1)
35 = a1* 49
a1 = 35/49 = 5/7
So the 8th term = (5/7)* (7)^7
= 588245
A circle with a shaded sector has a circumference of 12 pi millimeters. What is the area of the shaded sector? Express the answer in terms of Pi.
Answer:
The answer is C. 8 mm
Step-by-step explanation:
For me, i was able to divide the 80 by 12 and get 6.667 thus i was able to round up and conclude the answer in the answer choices
Answer:
c
Step-by-step explanation:
Find the value of x in the picture below. (round to nearest tenth if needed) THANK YOU FOR HELPING ME:)
Answer:
17 feet
Step-by-step explanation:
L² = 15² + 8² = 225 + 64 = 289
L = √289 = 17 feet
Answer:
do you need the area or the perimiter?
The shaded sector above covers 1/3 of the circle. If the radius of the circle above is 3 cm, what is the area of the sector in terms of ?
Given:
The shaded sector above covers [tex]\dfrac{1}{3}[/tex] of the circle.
Radius of the circle = 3 cm
To find:
The area of the sector in terms of π.
Solution:
The area of a circle is
[tex]A=\pi r^2[/tex]
Substituting [tex]r=3[/tex], we get
[tex]A=\pi (3)^2[/tex]
[tex]A=9\pi[/tex]
It is given that the shaded sector above covers [tex]\dfrac{1}{3}[/tex] of the circle.
The area of shaded sector [tex]=\dfrac{1}{3}A[/tex]
[tex]=\dfrac{1}{3}(9\pi)[/tex]
[tex]=3\pi[/tex]
Therefore, the area of shaded sector is 3π sq. cm.
The sum of two numbers is 80 The difference is 16 Write and solve a system of equations to find the numbers.
Answer:
32+48
Step-by-step explanation:
80- 32= 48
80-48= 32
Answer: 32; 48
Step-by-step explanation:
Let x be the smaller number, and y be the larger number, then we get
x + y = 80
x - y = 16
x - y = 16
x = 16 + y
x + y = 80
16 + y + y = 80
16 + 2y = 80
2y = 64
y = 32
x - y = 16
x - 32 = 16
x = 48
Can someone please help
Answer:
First row of blanks: -3 -3
Second row of blanks: 2 2 3
Third row blank: 6
Step-by-step explanation:
x/2 + 3 = 6
The objective is to isolate the variable:
Subtract both sides by 3
x/2 = 3
Multiply both sides by 2
x = 6
What is the area of the shaded triangle?
I have an hour to do this please help
Answer:
6
Step-by-step explanation:
27/9 =3
now 18/3
=6
I dont know this someone please answer this and show work and FAST! My teacher will call on me soon
Answer:
I can' see this. Can you show it closer? Please!
Step-by-step explanation:
Answer:
ok maybe itll work with this???
Step-by-step explanation:
file:///C:/Users/apple/Downloads/13f2bddc55b71689635395017a167da1%20(1).pdf
I hope it workksss
Help me PLZZ it’s worth 20 points
Answer: uhhhhhhhhhhhhhhhhhhh whats the question?
Step-by-step explanation:
Urgent !!!! Can someone please help me
Answer:
The answer is D
Step-by-step explanation:
They are using 135 times the weeks, but the car already had 100 miles on it to start. Juan buys a car that has 40 miles originally on it and he drives it 150 miles per week. So, the word problem is D