Answers
Answer:
[tex]\boxed{\tt = 1 2√5−24√(14)+2√(30)−8√(21)}[/tex]
Or
[tex]\boxed{ \tt \approx88.7}[/tex]
Step-by-step explanation:
Apply FOIL method to expand:
[tex] =\tt6√2(√(10)−4√7)+2√3(√(10)−4√7)[/tex]
[tex] \tt \:=6√2√(10)+6√2(−4√7)+2√3(√(10)−4√7)[/tex]
[tex] \tt \: = 6√2√(10)+6√2(−4√7)+2√3√10+2√3(−4√7)[/tex]
Simplify:
[tex] =\tt6√(20)+6√2(−4√7)+2√3√(10)+2√3(−4√7)[/tex]
[tex] \tt \: = 6 \sqrt{2 {}^{2} \times 5} +6√2(−4√7)+2√3√(10)+2√3(−4√7)[/tex]
[tex] \tt \: = 6(2√5)+6√2(−4√7)+2√3√(10)+2√3(−4√7)[/tex]
[tex] \tt = 12√5+6√2(−4√7)+2√3√(10)+2√3(−4√7)[/tex]
[tex] \tt = 12√5−24√(14)+2√3√(10)+2√3(−4√7)[/tex]
[tex] \tt \: = 12√5−24√14+2√(30)+2√3(−4√7)[/tex]
[tex] \tt \: = 12√5−24√(14)+2√(30)−8√(21)[/tex]
or
[tex] \tt \: \approx88.7[/tex]
[tex]\rule{230pt}{2pt}[/tex]
[tex]\left( 6 \sqrt 2 + 2 \sqrt 3 \right) \left( \sqrt{10} -4 \sqrt7 \right)\\\\=\left(6\sqrt 2 \right) \left(\sqrt{10} \right) - \left(6\sqrt 2\right)\left(4\sqrt 7 \right)+\left(2\sqrt 3 \right) \left(\sqrt{10} \right)-\left(2\sqrt 3 \right) \left(4 \sqrt 7 \right)\\\\=6\sqrt{2 \cdot 10} -24\sqrt{2 \cdot 7} + 2\sqrt{10 \cdot 3} - 8 \sqrt{3 \cdot 7}\\\\=6\sqrt{4 \cdot 5}-24\sqrt{14}+2\sqrt{30} - 8 \sqrt{21}\\\\=6\cdot 2\sqrt 5-24\sqrt{14}+2\sqrt{30} - 8 \sqrt{21}\\\\[/tex]
[tex]=12\sqrt{5} -24\sqrt{14}+2\sqrt{30} - 8 \sqrt{21}\\\\\approx -88.68[/tex]
Related Questions
PLEASE HELP ASAP!!!!!
Answers
Answer:
15/40 or simplified 3/8
Step-by-step explanation:
Many large cities have considered or passed proposals that ban the use of plastic grocery bags in stores. A concerned student would like to measure if residents of her hometown would consider a similar ban on plastic bags. Standing in a busy shopping area, the student approaches adults and asks, "Items made of plastics are a dangerous, growing source of pollution to our world’s oceans and threaten many animal species. Given this, would you support a ban on plastic shopping bags in our city stores?” How might the results of this survey be biased in estimating the proportion of all town residents who would support a ban on plastic bags?
The student may overestimate support for a plastic bag ban because only adults in the shopping area were chosen to participate.
The student may overestimate support for a plastic bag ban because the wording of the question may influence adults to support a ban.
The student may underestimate support for a plastic bag ban because the wording of the question may influence adults to not support a ban.
The student may underestimate support for a plastic bag ban because some adults may not want to answer questions about the environment.
Answers
Answer: The student may overestimate support for a plastic bag ban because the wording of the question may influence adults to support a ban.
Step-by-step explanation:
A chemist is mixing a 50% salt solution with an 18% salt solution to make 40 L of a new solution that will contain 30% salt. How much of each of the original solutions should the chemist use?
Answers
Answer:
See below
Step-by-step explanation:
Sum of ingredients = sum of final solution
.50 x where x = 50 percent amount then 40 - x = 18% amount
.50 x + .18(40 - x) = .30 ( 40 )
.50 x + 7.2 - .18x = 12
.32x = 4.8
x = 15 L of 50% 25 liters of 18%
At a balloon festival, 268 people
showed up to watch the evening
lift-off on Friday night at 8:00p.m.
Saturday morning's lift-off brought in
328 people. Sunday morning's show
brought in twice as many people
as Friday night's lift-off. How many
people in all came to watch the balloon
festival?
Answers
9) How much ice cream can the sugar cone hold if
you only fill the inside? Round your answer to the
nearest cubic millimeter.
60 mm
136 mm
140 mm
Answers
Answer:
13188mm^2
Step-by-step explanation:
D=60mm
H=136mm
L=140mm
then v=1/3xd^2x h= 1/3x3.14x60^2x136
SA=tc pl/2
=3.14x60x140= 13188mm^2
hope this helps!
How many possible outcomes if I choose an odd number between 0 and 10 and a letter of an alphabet?
Answers
Answer:
104, with the assumption that "an alphabet" is the English alphabet
Step-by-step explanation:
26*4
Simplify and she the steps how to solve this
(5t^2 + 4) - (6t^2 - 7t + 1)
Answers
Answer:
11t² + 7t + 3
Step-by-step explanation:
⇒ (5t² + 4) - (6t² - 7t + 1)
⇒ 5t² + 4 - 6t² + 7t - 1
⇒ 11t² + 7t + 3
Answer: [tex]-t^2 + 7t + 3\\\\[/tex]
Work Shown:
[tex](5t^2 + 4) - (6t^2 - 7t + 1)\\\\5t^2 + 4 - 6t^2 + 7t - 1\\\\(5t^2 - 6t^2) + 7t + (4-1)\\\\-t^2 + 7t + 3\\\\[/tex]
I need help please help out dudeeeeeeeeee
Answers
Answer: heyaa!!
Your Answer Is 6/25Step-by-step explanation:
Simplify the expression.
Hopefully this helps you <3
- Matthew :)
A rectangular image of length 5 cm and width 7 cm is magnified in a studio. On magnification, 1 cm of the image represents 15cm. Find the perimeter of the rectangle in the magnified image.
Answers:
360 cm
180 cm
440 cm
84 cm
Answers
Answer:
238 cm
Step-by-step explanation:
so we have a scale factor of 17: 1
originally we had the dimensions: 3cm by 4m
now we have 3*17 by 4*17 = 51 cm by 68 cm
Perimeter = 2*51 + 2*68 = 238 cm
Answer:
360 cm
Step-by-step explanation:
The height of the magnified image is the product of the height of the original image and the scale factor.
h=15(7) cm.
Simplify.
h=105 cm.
The width of the magnified image is the product of the width of the original image and the scale factor.
w=15(5) cm.
Simplify.
w=75 cm.
So, the perimeter is
P=2(75)+2(105) cm.
Simplify.
P=360 cm.
Therefore, the perimeter of the painting is 360 cm.
A. 225
B. 25
C. 150
D. 50
Answers
Step-by-step explanation:
V=1/3hπr².
(h=3cm, r=5²cm
V= 1/3 x 3 x π x 5²
V= 25π
ecuación: (9²)³ porfavor díganme alguna respuesta la necesito para el lunas TwT
Answers
531,441
solution:
Multiply.
(9²)³
Multiply 9².
9 x 9
9² the 2 means multiply to itself.
so 9x9 is equal to (81)³
Now multiply it again
81 x 81 x 81
= 531,441
There are a total of 66 students in the
fourth grade at North Elementary
school. Class A has five more
students than Class B. Class C has 2
less students than Class B. How
many students are in class A?
Answers
Answer:
A = 26
Step-by-step explanation:
sum of students = classA + classB + classC
let's say classA = A, classB = B, and classC = C
A + B + C = 66
class A has five more students than class B, so A = 5 more than B so A = 5+B
class C has 2 less students than class B, so C = 2 less than class B = B -2, so C = B-2
A + B + C = 66
A = 5+B
C = B-2
substitute 5+B for A and B-2 for C in the first equation to limit this to one variable (B)
(5+B) + B + (B-2) = 66
3B + 3 = 66
subtract 3 from both sides to isolate the variable and its coefficient
3B = 63
divide both sides by 3 to solve for B
B = 21
A = 5 + B = 5 + 21 = 26
Find the value of X that will make A||B. Show work please, I need to figure out how to solve it.
Answers
Answer:
x = 12
Step-by-step explanation:
In order for these lines to be parallel:
5x = 4x + 12
x = 12
Hope this helps
A 10 inch long piece of string is approximately 25.4 centimeters long.
What is the length, in centimeters, of a string that is 45 inches long, rounded to the nearest tenth?
Answers
If 10 inches is equal to 25.4 centimeters. Then the 45 inches will be equal to 114.3 centimeters.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.
A 10 inches long piece of string is approximately 25.4 centimeters long.
If the length of the string is 45 inches. Then the length in cm will be
Let x be the length. Then we have
x/45 = 25.4/10
x = 114.3 cm
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ1
does anyone know how to do bearings
answer as many as you like
Answers
Find the surface area of the cylinder. Use 3.14 for pi. a hay bale with a diameter of 30 inches and a height of 72 inches
about [ ] in.²
Answers
Answer:
8199.56 inches²
Step-by-step explanation:
A=2πd
2h+2π(d
2)2=2·π·30
2·72+2·π·(30
2)2≈8199.55683in
A number c minus 12 is greater than 4.
Answers
Answer:
C is equal to any number that is greater than 16.
Step-by-step explanation:
1. c - 12 > 4
2. c > 16
Libby built a fence that was 56 \text { feet}56 feet56, start text, space, f, e, e, t, end text long over 444 days. She built the same length of fence each day.
How many inches of fence did Libby build each day?
Answers
Answer:
168 inches
Step-by-step explanation:
To find the fence made each day by Libby, we will divide 56 by 4.
convert the length of fence into inches.
1 foot = 12 inches.
What is the height of a cone if the radius is 3 and the volume is 40π
Answers
Then the height of the cone is 11.537
Write the equation in standard form using integers. y=3x + 4
Answers
Hope this helps
To write the equation in standard form
⇒ must know the standard form:
⇒ Ax + By = C
⇒ essentially move all the variables to one side and constant to
the other
Let's solve:
[tex]y = 3x + 4\\-3x+y=4[/tex]
Standard form: [tex]-3x+y=4[/tex]
Answer: [tex]-3x+y=4[/tex]
Hope that helps!
1. How many triangles are congruent to AABC?
А.
2
В.
3
С.
4
D.
5
Answers
Answer:
Answer: 3, 3 of them are translated
Answer:
B. 3 triangles are congruent to ABC
Step-by-step explanation:
2 triangles are congruent if all corresponding side lengths are equal, or using SAS (Side-Angle-Side theorem) to confirm 2 corresponding sides & the included angle is equal those of another triangle.From the picture, triangle ABC is not a right triangle. The length of AB is graphed with a length of 4. From point C to segment AB is a height of 3. The triangle in quadrant I (top right) has both of these dimensions.
Similarly, the triangle on the x-axis (positive side) below it (between Q1 and Q4) is also congruent to ABC.
The triangle fully in quadrant III (bottom left) is congruent to ABC with a height of 3 and base length of 4.
The triangle in the bottom right corner (Q4) has a height of 4, therefore it is not congruent to ABC which has a height of 3.
The triangle on the x-axis (negative left side) is also not congruent to ABC. It may have a height of 3 and base length 4, but the angles are different which means the other side lengths don't correspond to ABC.
[+ I'm not sure if your teacher would consider this a real answer but I figured I'd mention that in proofs tri.ABC is also congruent to tri.ABC.]
Mattress Length: 6.25 in Length: ft
Answers
Answer:
the length in ft would be 0.52 but im not entirely sure hope this helps!
Step-by-step explanation:
How many boxes are needed for a total of 3,745 napkins if one box can hold 75 napkins?
Answers
Answer:
50
Step-by-step explanation:
3745 divided by 75 = 49.93
Round to 50
Hope this helped :)
which expression is equivalent to (9^6)^2
Answers
Answer:
9 ^ 12
Step-by-step explanation:
Use the power rule - (x^a)^b = x^ab
---- > 9 ^ 12
The answer would be:
282429536481
A letter is chosen at random from the word CALIFORNIA. Find the probability of all the letters in the word
Answers
Answer:
C - 1/10A - 2/10L - 1/10I - 2/10F - 1/10O - 1/10R - 1/10N - 1/10Do not put A and I more than once, we already measured it before.
10 letters in all
Find how many there are per letter
C - 1/10
A - 2/10
L - 1/10
I - 2/10
F - 1/10
O - 1/10
R - 1/10
N - 1/10
A cylinder has a base radius of 8 meters and a height of 19 meters. What is its volume in cubic meters, to the nearest tenths place?
Answers
Answer:
477.28cu m
Step-by-step explanation: R (8) x3.14 (pi) is 25.12, 25.12x19=477.28
I really need help pleaseeee
Answers
Paloma is visiting a new city on vacation. she plans to rent a segway to tour the downtown area. the rental service charges $25 for the first half hour and $5.25 for each half hour after that. how much will it cost for paloma to use the segway for 8 hours?
a.$103.75
b.$40.75
c.$84.00
d.$72.25
Answers
Please help work this equation
Step-by-step explanation is needed.
100 points
5 stars ⭐️ ⭐️⭐️⭐️⭐️
And a thanks
Answers
Hi!
Given these two equations:
[tex]x = y + 8[/tex]
[tex]x + 4 = 2(y + 4)[/tex]
We want to solve using the substitution method. Knowing that x is equal to y + 8, we can simply plug in 'y + 8' in for x in the second equation, like so:
[tex](y+8)+4=2(y+4)[/tex]
Combine like terms on both sides:
[tex]y+12=2y+8[/tex]
Subtract y from both sides:
[tex]12=y+8[/tex]
Subtract 8 from both sides:
[tex]y=4[/tex]
Now, we can simply plug the y value in to the first equation, and solve for x:
[tex]x=4+8[/tex]
Simplify:
[tex]x=12[/tex]
Therefore, x is equal to 12 and y is equal to 4.Learn more about the substitution (and also elimination!) method here:
https://brainly.com/question/14619835
What is the surface area of the rectangular prism?
a. 144 m 2
b. 288 m 2
c. 128 m 2
d. 256 m 2
Answers
A = 2 * l * w + 2 * l * h + 2 * w * h
Answer: B. 288m 2
Step-by-step explanation:
A = 2 (wl+hl+hw)
2 · (4 · 16 + 4 · 16 +4 · 4) = 288m 2
