Answer:
Step-by-step explanation:
Part A
A square pyramid surface area can be calculated using A = Lw (which gives you surface area of the base square) & 4 of A = bh/2 (which gives you surface area of the 4 triangles on the side)
This means overall A = Lw + 4(bh/2)
Length = L = 4"
Width = w = 4"
Base = b = w = L = 4"
Height = h = 6"
A = Lw + 4(bh/2)
A = Lw + 2bh This is the answer after simplifying
A = (4")(4") + 2(4")(6") This is the numerical expression.
A = 16" + 48" = 64" This is the numerical answer.
A square prism surface area can be found using 2 of A = Lw (which represents the surface area of the 2 squares) and 4 of A = Lh (which gives you the surface area of the 4 rectangles).
This means overall A = 2Lw + 4Lh
Length = L = 4"
Width = w = 4"
Height = h = 6"
A = 2Lw + 4Lh
A = 2(4")(4") + 4(4")(6") This is the numerical expression.
A = 128" This is the numerical answer.
Part B
To see the difference between the 2 polyhedrons, I will place them as follows.
Pyramid Area = A = (4")(4") + 2(4")(6")
Prism Area = A = 2(4")(4") + 4(4")(6")
The numerical expression shows that the surface area of the prism has one more square area (as represented by 4"x4"), and has 2 more rectangular area (as represented by 4"x6").
The difference of the 2 numerical expressions can be found using subtraction:
A = [2(4")(4") + 4(4")(6")] - [(4")(4") + 2(4")(6")]
A = (4")(4") + 2(4")(6")
Hope this helps.
Which value of x is a solution to this equation? 5 x 2 - 36 x + 36 = 0
HELP!!
If we changed the -3 to a 3 in the equation, what would happen to the graph?
Answer:
It would change the y-intercept, so if it turned into a 3, the slope would just go higher at the beginning.
Step-by-step explanation:
Hope it helps!
The graph of the new equation y = 2ˣ⁻⁴ + 3 will have the same shape as the original graph, but it will be shifted 4 units to the right and 3 units up.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The equation y = 2ˣ⁻⁴ - 3 is an exponential function that has been shifted 4 units to the right and 3 units down from the basic exponential function y = 2ˣ.
If we change the -3 to a 3, we get the new equation:
y = 2ˣ⁻⁴ + 3
This new equation represents the original exponential function shifted 4 units to the right and 3 units up.
Therefore, the graph of the new equation y = 2ˣ⁻⁴ + 3 will have the same shape as the original graph, but it will be shifted 4 units to the right and 3 units up.
To learn more on Graph click:
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need help ty I’ll give brainliest
Answer:
120
Step-by-step explanation:
all angles of a triangle add up to 180. 180-15-45= 120.
:D
brainliest pls
Given :
Measure of an angle = 15°
Measure of the second angle = 45°
Let the measure of the third angle be x.
We know that :
▪︎Sum of all angles of a triangle = 180°[angle sum property]
Which means :
[tex] =\tt 15 + 45 + x = 180[/tex]
[tex] =\tt 60 + x = 180[/tex]
[tex] =\tt x = 180 - 60[/tex]
[tex]\hookrightarrow\color{plum}\tt \: x = 120°[/tex]
Thus, the measure of the third angle = 120°
Since the sum of all these angles is equivalent to 180°[15+45+120=180] we can conclude that we have found out the correct measure of the third angle.
Therefore, the correct option is (C) 120
What is 2.35 rounded to the nearest hundredth.
2.35 is already rounded to the nearest hundredth.
) Esteban tiene cerámicas
rectangulares que miden
10 cm por 15 cm y con ellas
quiere formar superficies
cuadradas.
¿Cuál es la longitud de los
lados del cuadrado más pe-
queño que Esteban puede
formar?
Answer:
sorry I cant speak spanish
Step-by-step explanation:
NEED HELP ASAP
ILL MARK BRAINLIEST
Explain how to write a quadratic equation given the vertex and another point on the graph, in the form of ()=(−ℎ)2+, vertex form.
Vertex: (−4,6)and point (−3,3)
Work out the size of angle x
If tn=18√t, what value of n makes this equation true?
Answer:
1/18
Step-by-step explanation:
Gavin wants to buy a jacket that sells for $38.95. An advertisement says that next week that jacket will be on sale for $22.50. How much will Gavin save if he waits until next week to buy the jacket?
Answer: Gavin will save $16.45 if he waits until next week to buy the jacket.
Step-by-step explanation:
Given: Current Market price of jacket = $38.95
Sales price next week = $22.50
Amount he can save = (Current Market price of jacket)- (Sales price next week )
i.e. Amount he can save = $ (38.95-22.50)
i.e. Amount he can save = $ 16.45
Hence, Gavin will save $16.45 if he waits until next week to buy the jacket.
what s the vertex y=3x^2-18x +30
Answer:
(3,3)
Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex ( h , k ) .
If a dice is rolled 18 times, how many times is the number 2 expected to come up? *
A .2 times
B. 3 times
B. 6 times
D.9 times
Answer:
the answer is B. 3 times
that's what I think
Number of times 2 come, If a dice is rolled 18 times is 3 times. So, Option 'B' is the correct answer.
Probability based problem:Probability of a number = Number of outcome / Total number of outcomes
Probability of getting two = 1 / 6
Number of times 2 come, If a dice is rolled 18 times = 18[Probability of getting two]
Number of times 2 come, If a dice is rolled 18 times = 18[1/6]
Number of times 2 come, If a dice is rolled 18 times = 3 times
Find out more information about 'Probability'.
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The function y=-2(x-2)^(2)+6 shows the daily profit (in hundreds of dollars) of a hot dog stand, where x is the price of a hot dog (in dollars). Find and interpret the zeros of this function.
Select two answers: one for the zeros and one for the interpretation.
The answers are:
Answer:
C. Zeros at x = 2 ± √3, and D. The zeros are the hot dog prices that give $0.00 profit (no profit).
erold’s weekly pay rate is $865. He receives a 25% pay raise. How can Jerold calculate his new weekly pay rate? Select all that apply.
A divide $865 by 0.25
B divide $865 by 1.25
C multiply $865 by 0.25
D multiply $865 by 1.25
E Solve for x: x···8655 125···100
F Solve for x: 865···x5 25···100
Answer:
D
Step-by-step explanation:
865 increase 25% =
865 × (1 + 25%) = 865 × (1 + 0.25) = 1081.25
please help (if you can)
find the value of x
PLZ
Answer:
x=21
Step-by-step explanation:
wow this waz ez
Llam
Is this a right triangle?
Use the Pythagorean Theorem to find out!
20 cm
21 cm
29 cm
Yes
No
Answer:
Yes
Step-by-step explanation:
29×29=841
21×21=441
20×20=400
29^2-21^2=20^2
841-441=400
400=400
Yes it is a right angle triangle
X²-8x+16=(x-?)(x-?) Can u help me
Answer:
Step-by-step explanation:
(x-4)(x-4) or (x-4)^2
value? Hint: Rationalize the denominator and
4/4 - sqr6x
Answer:
The Answer is A
Step-by-step explanation:
I'm 100% right.
Y = 4( x + 2)^2 - 8
Convert the equation from vertex form to standard form.
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Maggie goes to two different stores to shop for t-shirts. Both stores are having a sale.
At Store A, t-shirts are regularly priced at $22 but are on sale for 25% off.
At Store B, t-shirts are regularly priced at $30 but are on sale for 45% off.
Which of the following is true about the sale price of a t-shirt at the two stores?
A. Store B has the better price because 45% is greater than 25%.
B. Store A has the better price because $22 is less than $30.
C. The sale price is the same for both stores.
D. The sale price cannot be determined.
Answer:
store B
Step-by-step explanation:
which is a function A. {(7, 3), (7, 15), (7, -11)} B. all of the options correct
Negative five times a number is less than the sum of negative six times the number and 12
Answer:
-5 x X < -6x + 12
Step-by-step explanation:
I THINK im not really used to this but yes this is my expression i would present.
What is the equation for five times a number is 45?
Answer:
5 × Y = 45 y stands for "a number"
Step-by-step explanation:
not sure what your asking so ill solve it too
45/5=9
when the equation is multiplication you use division also vice versa for division
5×9=45
y=9
After learning how to fly, Wendy reduced her daily commute time by
75
%
75%75, percent. Previously, her commute took
m
mm minutes.
Answer:
3/4m
Step-by-step explanation:
CAN SO ONE PLS HELP ME whats (2-3x4)9+22
Answer:
The answer is = 112
Step-by-step explanation:
3x4 = 12
12 - 2 = 10
10 x 9 = 90 .,. when there is a ) next to a number you multiply
90 + 22 = 112
F(x)=3x-2 find f^-1(x) than find f^-1(13)
Answer:
see explanation
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 3x - 2 ( add 2 to both sides )
y + 2 = 3x ( divide both sides by 3 )
[tex]\frac{y+2}{3}[/tex] = x
change y back into terms of x with x = [tex]f^{-1}[/tex] (x)
[tex]f^{-1}[/tex] (x) = [tex]\frac{x+2}{3}[/tex]
To evaluate [tex]f^{-1}[/tex] (13) substitute x = 13 into [tex]f^{-1}[/tex] (x) , that is
[tex]f^{-1}[/tex] (13) = [tex]\frac{13+2}{3}[/tex] = [tex]\frac{15}{3}[/tex] = 5
How many years will it take for $4,000 to double at a simple interest rate of 5%? Show your work.
Answer: in explination
Step-by-step explanation:
annual interest = .05(4000) = 200
to double, you need another $4000
number of years = 4000/200 = 20
annual interest = .05(4000) = 200
to double, you need another $4000
number of years = 4000/200 = 20
it will take 20 years
to check if you are right you would...
Check:
simple interest on $4000 for 20 years at 5%
= .05(20)(4000) = 4000
the amount = what we had + new amount
= 4000 + 4000 = 8000 which is double what we started with
So the answer would be it took 20 years.
Which expression is equivalent to 12 x + 3 ( x − 2 )
Answer:
15x - 6
Step-by-step explanation:
To solve this, Given the expression 12 x + 3 ( x − 2 )
To simplify, expand
12 x + 3 * x −3 * 2
Knowing that
- * + = -
then the expression becomes
= 12 x + 3x - 6
= 15x - 6
The expression given is equivalent to 15x - 6
How do you add fractions and whole numbers together? For example 1/4+2
Answer:
2.25 or 2 1/4
Step-by-step explanation:
Easy. you add them like regular numbers. 1/4 + 2 = 0.25 + 2 =2.25 and/or 2 1/4