The least amount of wrapping paper that Amy needs to wrap the present is 1936in².
What is Surface Area?Surface area is simply the amount of space covering the outside of a 3-dimensional object.
The surface area of a rectangular prism is expressed;
A = 2( wl + hl + hw )
Given the data in the question;
Height of the rectangular prism h = 18inWidth w = 16inLength l = 20inSurface area of the rectangular prism A = ?To determine the least amount of wrapping paper that Amy needs to wrap the present in the shape of a rectangular prism, we substitute our given values into the expression above.
A = 2( wl + hl + hw )
A = 2( (16in×20in) + (18in×20in) + (18in×16in) )
A = 2( 320in² + 360in² + 288in² )
A = 2( 968in² )
A = 1936in²
Therefore, the least amount of wrapping paper that Amy needs to wrap the present is 1936in².
Learn more about the surface area of a rectangular prism here: https://brainly.com/question/14987814
The cost proposed by the taxi company that charges $3 for the taxi drop plus $1.50 for each mile driven can be expressed as c=
The cost proposed by the taxi company that charges $2 for the taxi drop plus $1.75 for each mile driven can be expressed as c=
Answer:
3 + (1.50 x m) = c
m stands for amount of miles driven, c stands for total cost.
PLEASE I NEED THIS NOW!! Please
Which of the following is a third root of the given complex number?
JE
27| COS
2700
+ i sin
5
5
Check all that apply.
O
A. 27| cos
1 172
15
+ i sin
1117
15
872
8z
B. 3COS
15
isin
15
117
O C. 3 cos
+ i sin
1 177
15
15
().-()
Hisin
3
O D. 3
+ i sin
JC
15
15
Suppose that r (cos(θ) + i sin(θ)) is a third root of 27 (cos(π/5) + i sin(π/5)), i.e.
[r (cos(θ) + i sin(θ))]³ = 27 (cos(π/5) + i sin(π/5))
Expand the left side using de Moivre's theorem:
r³ (cos(3θ) + i sin(3θ)) = 27 (cos(π/5) + i sin(π/5))
Matching up real and imaginary parts, we have
r³ cos(3θ) = 27 cos(π/5)
r³ sin(3θ) = 27 sin(π/5)
Right away we see that r³ = 27 ⇒ r = 3, which eliminates A.
We also have
(r³ sin(3θ)) / (r³ cos(3θ)) = (27 sin(π/5)) / (27 cos(π/5))
tan(3θ) = tan(π/5)
3θ = tan⁻¹(tan(π/5))
3θ = π/5 + nπ
(where n is an integer)
θ = π/15 + nπ/3
Now,
• n = 0 ⇒ θ = π/15 ⇒ D is a third root
• n = 1 ⇒ θ = π/15 + π/3 = 2π/5
• n = 2 ⇒ θ = π/15 + 2π/3 = 11π/15 ⇒ C is a third root
Which of the following ordered pairs are a solution for the equation y=2x−5 (2, 0)(-1, -7)(-9, -2)(1, 3)
Answer:
(- 1, - 7 )
Step-by-step explanation:
substitute the x- coordinate into the equation and if the value obtained is equal to the y- coordinate, then it is a solution
(2, 0 ) → y = 2(2) - 5 = 4 - 5 = - 1 ≠ 0 ← not a solution
(- 1, - 7 ) → y = 2(- 1) - 5 = - 2 - 5 = - 7 → solution to equation
(- 9, - 2 ) → y = 2(- 9) - 5 = - 18 - 5 = - 23 ≠ 2 ← not a solution
(1, 3 ) → y = 2(1) - 5 = 2 - 5 = - 3 ≠ 3 ← not a solution
Ella said that if she knows the lengths of just two sides of any triangle,
then she can find the length of the third side by using the Pythagorean
Theorem. Is Ella correct? Explain. Lesson 7-1
Answer:
Yes
Step-by-step explanation:
Pythagorean theorem is a^2+b^2 = c^2 where each letter is a side of a triangle. If you know 2 sides then there is only 1 unknown and 1 equation so you can easily find the third side by solving the equation.
Round 4 3/8 to the nearest whole number
A.3
B.4
C.5
D.6
Answer:
B
Step-by-step explanation:
It 4 3/8 is 4.375 which would round down
Solve 5x 1 = 2x2 9x. which are steps in the process of completing the square used to solve the equation? 1 = 2(x2 2x) 1 = 2x2 4x 2 = 2(x2 2x 1) 3 = 2(x 1)2 2 = 2(x 1)2
Steps in the process of completing the square used to solve the given equation were discussed.
Given equation is:
[tex]5x+1=2x^{2} +9x[/tex], which is a quadratic equation
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].
Taking all terms to the left side of the equation:
[tex]-2x^{2} -9x+5x+1=0[/tex]
[tex]-2x^{2} -4x+1=0[/tex]
[tex]2x^{2} +4x=1[/tex]
[tex]2(x^{2} +2x)=1[/tex]
To complete the square let us add 2 both sides
[tex]2(x^{2} +2x)+2=3[/tex]
[tex]2(x+1)^2=3[/tex].....(1)
So, equation (1) is the required answer.
Hence, steps in the process of completing the square used to solve the given equation were discussed.
To get more about quadratic equations visit:
https://brainly.com/question/1214333
Answer:
A, B, D
Step-by-step explanation:
What is the product of 3a 5 and 2a2 4a – 2? 6a3 22a2 14a – 10 6a3 22a2 26a –10 18a3 10a2 14a – 10 28a3 14a – 10
The product of 3a + 5 and 2a2 + 4a – 2 is [tex]\rm 6a^3+22a^2+14a-10\\[/tex], the correct option is A.
What is the product of two algebraic expressions?When two algebraic expressions are multiplied, the result is called the product, and the two expressions making up the product are called factors and multiplicands.
The multiplication of two algebraic equations can be expressed as a × b.
The product of 3a + 5 and 2a2 + 4a – 2 is determined in the following steps given below.
[tex]\rm =(3a + 5) \times( 2a^2 + 4a -2)\\\\= 3a ( 2a^2 + 4a -2) +5( 2a^2 + 4a -2)\\\\ =6a^3+12a^2-6a+10a^2+20a-10\\\\=6a^3+22a^2+14a-10\\[/tex]
Hence, the product of 3a + 5 and 2a2 + 4a – 2 is [tex]\rm 6a^3+22a^2+14a-10\\[/tex].
To know more about multiplication click the link given below.
https://brainly.com/question/14059007
Answer:
A. 6a^3 + 22a^2 + 14a - 10
Step-by-step explanation:
Ed22
Find the sum of (–4 + i) and (10 – 5i).
When we work with complex numbers:
⇒ we add all the like terms
⇒ terms with 'i' add with terms that have an 'i' ⇒ [tex]i -5i=-4i[/tex]
⇒ constants add with constants ⇒ [tex]-4+10=6[/tex]
Let's find the sum now:
[tex](-4+i)+(10-5i)=-4+10 +(i-5i)=6-4i[/tex]
Answer: The sum of (-4+ i) and (10 - 5i) is 6 - 4i
Hope that helps!
Answer:
C on edge
Step-by-step explanation:
Please answer ASAP. Suppose we write down the smallest (positive) 2-digit, 3-digit, and 4-digit multiples of 8.
What is the sum of these three numbers?
Answer:
16, 104, 1000
Step-by-step explanation:
8*2
8*13
8*125
Answer:
1,120
Step-by-step explanation:
We start off the multiples of 8 with 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104
The smallest positive 2 digit multiple is 16
The smallest 3 digit multiple is 104
We know 8 x 100 = 800, so we are still in 3 digits
Now we try 8 X 110 = 880
Now let's try 8 x 120 = 960
Now, 8 x 125 = 1,000 which is the smallest 4 digit number we can get
16 + 104 + 1000 = 1,120
What is the Cube root of 125x^12?
5x2
5x4
25x2
25x4
Answer:5x^4
Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers
How do you write thirteen and seventy-two hundredths as a decimal number?
Answer:
13.72
Step-by-step explanation:
1. What is the sine ratio of ∠C?
A. 5/13
B. 5/12
C. 12/13
D. 13/12
2. What is the cos ratio for ∠C?
A. 8/10
B. 10/6
C. 10/6
D. 6/10
Answer:
1. Sine ratio of angle ∠C = 12/13
2. cos ratio for ∠C = 6/10
Step-by-step explanation:
1. sin = perpendicular /hypotuse
=> 12/13
2. cos = base / hypotuse
=> 6/10
my sister needs help in math
Answer:
Step-by-step explanation:
The answer would be C.
The number sentence that represents the amount of change Kate receives back is $20.00 - $18.92 = $1.08, The correct option is C)
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
For daises= $6.99
For soil potting =$3.98
For ceramic pot= $7.95
Now,
The correct answer is C) $20.00 - $18.92 = $1.08.
To find the amount of change Kate receives back, we need to subtract the total cost of her purchases from the amount of money she has. The total cost of her purchases is:
$6.99 + $3.98 + $7.95 = $18.92
Kate has $20.00, so we can find the amount of change she receives back by subtracting the total cost of her purchases from $20.00:
$20.00 - $18.92 = $1.08
Therefore, by algebra answer will be $1.08.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ7
What kind of expression is this?
Answer:
the third one hope it helps:)
The sandwich shop sold 6 ham sandwiches. They sold twice as many turkey sandwiches as ham sandwiches. They sold 4 fewer tuna sandwiches than turkey. How many sandwiches did they sell?
Answer:
Step-by-step explanation:
he cafeteria sold 6 more turkey sandwiches than ham sandwiches. They sold 52 sandwiches in all
Find the area of the shaded polygons. it has the diameters of 6, 8, 10. I WILL AWARD BRAINLIEST. PLS HELP ASAP I NEED THIS PLSSSS
Answer:
8, 10
Step-by-step explanation:
hopes this helps!
PLS GIVE ME BRAINILIEST
NEED HELP ASAP!! GIVING BRAINLIEST TO BEST ANSWER FOR THESE 2 QUESTIONS! PLS HELPPPPPP
Answer:
9) [tex]\\\frac{14}{16}[/tex]
10) [tex]28\frac{5}{8}[/tex]
Step-by-step explanation:
9)
[tex]1\frac{3}{4}[/tex] you change by multiplying 1 * 3 (the numerator) and adding 4 (the denaminator), putting the result (7) to the numerator and keeping the denaminator (4) = [tex]\frac{7}{4}[/tex]
[tex]\frac{7}{4} * \frac{2}{4} = \frac{14}{16}[/tex]
10) 7*4 = 28
so [tex]28\frac{5}{8}[/tex]
Which angle is coterminal with a 120° angle?
A. An angle measuring 300°
B. An angle measuring-120°
C. An angle measuring 470°
D. An angle measuring 480°
An angle measuring 480° is coterminal with a 120° angle.
Coterminal anglesThis classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.
A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.
Thus,
For w=1 and α=120°β = 120 ± 360 * 1
β = 120 ± 360
Then, β can be 120+360=480° or 120-360= -240°
For w=2 and α=120°β = 120 ± 360 * 2
β = 120 ± 720
Then, β can be 120+720=840° or 120-720= -600°
Therefore, the answer to this question is option D.
Read more about the coterminal angles here:
https://brainly.com/question/19573972
Using a normal deck of cards, Jessica draws one card, and then without replacing the first card, draws a second card.
Find the Probability:
P(Jack then Queen)
Answer:
not answered this question
Please Help me Asap
Rob's first four test scores are 80, 85, 100, and 85. What does he have to score on the last test in order to have a test average of 90?
options:
90
100
10
95
Answer:
100
Step-by-step explanation:
Given Average After writing a last test=90
let the last test score be x
Now given
[tex] \frac{80 + 85 + 100 + 85 + x}{5} = 90[/tex]
[tex]80 + 85 + 100 + 85 + x = 450[/tex]
[tex]x + 350 = 450[/tex]
[tex]x = 100[/tex]
I hope it helped you
What type of triangle can u form with 4.5cm,6cm, and 8.5cm
scalene triangle
hope it helps...
Answer:
down below - hope this helped :)
Step-by-step explanation:
you can make a scalene traingle with these mesurements
since none of the sides are equal :)
What is the length of MN ?
M
3X
X + 8
634
N
O A. 12
OB. 8
OC. 4
O D. 16
Answer:
A. 12
Step-by-step explanation:
Using the Law of Sines,
sinA / a = sinB / bHere,
A = 63°a = x + 8B = 63°b = 3xSolving :
sin63°/x + 8 = sin63°/3xx + 8 = 3x2x = 8x = 4Finding MN :
MN = x + 8MN = 4 + 8MN = 12anybody know how I can get better at algebra 1, because I'm struggling
Answer:
My suggestions could be to;
→ Study
→ Ask for help to the teacher
→ Ask for help to your parents
→ Ask for help to your older siblings
→ Ask your parents to get a tutor for you
→ Pray to our lord and savior Jesus Christ to help you succeed algebra 1
Step-by-step explanation:
Hope this helped! :^)
⭐Brainliest will be appreciated!⭐
✉️Message me if you have any more questions!✉️
- ✨7272033Alt✨
Lance, Rachael, and Jamie are playing catch. Lance throws the ball to Rachael, Rachael to Jamie, and Jamie back to Lance. The angle formed at Rachael's position measures 90°. The distance from Lance to Rachael is 45 feet, and the angle formed at Lance's position measures 55°. Lance is trying to determine the other measures created by their positions. Give each measurement rounded to the nearest thousandth of afoot. The angle formed at Jamie's position measures degrees.
Answer:
35°
64.267 ft
78.455 ft
Step-by-step explanation:
The given situation can be modeled as a right triangle (see attached).
The interior angles of a triangle sum to 180°
⇒ angle at Jamie's position = 180° - 90° - 55° = 35°
To find the other measures (distances), we can use trig ratios.
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuseTo find the distance from Rachael to Jamie:
[tex]\implies \sf \tan(55^{\circ})=\dfrac{x}{45}[/tex]
[tex]\implies \sf x=45\tan(55^{\circ})[/tex]
[tex]\implies \sf x=64.267\:ft\:(nearest\:thousandth)[/tex]
To find the distance from Lance to Jamie:
[tex]\sf \implies \cos(55^{\circ})=\dfrac{45}{y}[/tex]
[tex]\sf \implies y=\dfrac{45}{\cos(55^{\circ})}[/tex]
[tex]\sf \implies y=78.455\:ft\:(nearest\:thousandth)[/tex]
Uche pumps gasoline at a rate of 16 / min. What is Uche’s pumping rate in / s?
Answer:
266.66mL/s
Step-by-step explanation:
You have:
[tex] \frac{16}{1} \frac{liters}{minute} [/tex]
You can use the conversion factors to convert liters to milliliters, and minutes to seconds:
1L = 1000mL
1 min = 60 sec
Therefore:
[tex] \frac{16}{1} \frac{liters}{minute} \times \frac{1000}{1} \frac{mililiters}{liter} \times \frac{1}{60} \frac{minute}{seconds} [/tex]
Liters cancel and minutes cancel. The units of mL per second is all that remains:
[tex] \frac{16 \times 1000}{60} \frac{mililiters}{second} = 266.66 \frac{ml}{s} [/tex]
Lynne is rolling a six-sided number cube repeatedly. Her goal is to roll an even number 23 times. How many times should Lynne expect to have to roll the number cube to result in an even number 23 times? Enter your answer in the box to correctly complete the statement
Using the binomial distribution, it is found that she should expect to roll the number cube 46 times.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected number of trials until q successes is:
[tex]E_s(X) = \frac{q}{p}[/tex]
In this problem:
She wants 23 successes, hence q = 23.Of the six numbers on the cube, three are even, hence the probability of a success on a trial is of p = 3/6 = 0.5.Then:
[tex]E_s(X) = \frac{23}{0.5} = 46[/tex]
She should expect to roll the number cube 46 times.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Answer:
answer is 46.
Step-by-step explanation:
9x + 5y = 35
2x + 5y = 0
Answer:
The answer is A
Step-by-step explanation:
I worked it out with all of the options A is the correct answer.
pls need help in math<3
Answer:
I think its 6 and a half, not sure tho
HURRY 70 POINTS!! solve the system using substitution. show all work. {4x + 5y = 7 {y = 3x - 10
Answer:
(3, -1)
Step-by-step explanation:
Given
4x + 5y = 7y = 3x - 10Subbing the value of y
4x + 5(3x - 10) = 74x + 15x - 50 = 719x = 57x = 3y = 3(3) - 10y = 9 - 10y = -1Solution is (3, -1)Answer:
x = 3y = -1Solution: (3, -1)
Step-by-step explanation:Given equations:
[tex]4x + 5y = 7[/tex][tex]y = 3x - 10[/tex]Step-1: Reorganize the equations with "y" on the L.H.S
[tex]\rightarrow \left \{ {{4x + 5y = 7} \atop {y = 3x - 10}} \right.[/tex]
[tex]\rightarrow \left \{ {{5y = 7 - 4x} \atop {y = 3x - 10}} \right.[/tex]
[tex]\rightarrow \left \{ {{5y = 7 - 4x} \atop y =-10 + 3x}} \right.[/tex]
Step-2: Make the x-variables the same on both equations
[tex]\rightarrow \left \{ {{3(5y = 7 - 4x)} \atop 4(y =-10 + 3x)}} \right.[/tex]
[tex]\rightarrow \left \{ {{15y = 21 - 12x} \atop 4y =-40 + 12x}} \right.[/tex]
Step-3: Add the equations
[tex]\rightarrow (15y + 4y) = (21 - 40) + (-12x + 12x)[/tex]
[tex]\rightarrow 19y = -19[/tex]
Step-4: Divide both sides by 19
[tex]\rightarrow \dfrac{19y}{19} = \dfrac{-19}{19}[/tex]
[tex]\rightarrow y = -1[/tex]
Step-5: Substitute the value of y into any equation
[tex]\rightarrow y = 3x - 10[/tex]
[tex]\rightarrow -1 = 3x - 10[/tex]
Step-6: Simplify the equation
[tex]\rightarrow -1 + 10 = 3x[/tex]
[tex]\rightarrow9= 3x[/tex]
Step-7: Divide 3 both sides
[tex]\rightarrow \dfrac{9}{3} = \dfrac{3x}{3}[/tex]
[tex]\rightarrow x = 3[/tex]
(Optional) Step-8: Convert the solution(s) into (x, y) form
[tex]\rightarrow (x, y) \rightarrow (x = 3; y=-1) \rightarrow (3,-1)[/tex]
Thus, the value of x and y is 3 and -1. The solution is (3, -1).
5x + (-x) - 1 = 11 - 2x
Answer:
x = 2
Step-by-step explanation:
5x + (- x) - 1 = 11 - 2x , that is
5x - x - 1 = 11 - 2x
4x - 1 = 11 - 2x ( add 2x to both sides )
6x - 1 = 11 ( add 1 to both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Answer:
The value of x is 2
Step-by-step explanation:
=> 5x + (-x) - 1 = 11 - 2x
=> 5x -x -1 = 11 - 2x
=> 4x - 1 = 11 - 2x
=> 4x+2x = 11+1
=> 6x = 12
=> x = 12/6
=> x = 2