Answer:
(1) 9
(2) [tex]\sqrt{6}[/tex]
(3) 6([tex]\sqrt{6}[/tex])
Step-by-step explanation:
From the question,
(1) ([tex]\sqrt{9}[/tex])²
Applyin the law of multiplication of surds
([tex]\sqrt{9}[/tex])² = (
(2) ([tex]\sqrt{2}[/tex])× ([tex]\sqrt{3}[/tex]) =
Also applying the the law of multiplication of surd
([tex]\sqrt{2\\}[/tex])×([tex]\sqrt{3}[/tex]) = ([tex]\sqrt{6}[/tex]) ( This is an irational answer)
∴ ([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex]) = [tex]\sqrt{6}[/tex]
(3) 2([tex]\sqrt{2}[/tex])×3([tex]\sqrt{3}[/tex])
Also applying the law of multiplication of surds i.e Multiply surds to surds and whole number to whole number
= 2×3×([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex])
6×([tex]\sqrt{6}[/tex]) = 6(
Solve for x
(3x-15) & (2x+7)
Answer:
for the first one X=-5
for the second one it's a fraction so look at the picture
I don’t know how to do that
Answer:
16
Step-by-step explanation:
Divide 64 by 8 to get 8. this is 1/8 of the books.
3/8 were non fiction, or 24
1/4 (2/8) were picture books, or 16
5/8 were non fiction or picture books, so ’the rest‘ of the chapter books is 3/8.
3/8 were chapter books, or 24.
add the amount of picture books and chapter books since they are the fictional texts.
16+24=40
subtract the amount of non fictional books from the amount of fictional books to get the sum.
40-24=16
How do I calculate the volume of this prism?
Convert the units of capacity.
10 pt = ___ ___ qt
Answer:
6.00475
Step-by-step explanation:
Use the diagram below for 13-16 Zol Find mC i MAD = 35 (6.12A-S) A 45° B. 55 C 225 D. 125?
HELP ME I WILL MARK BRAINLIEST
Answer:
The answer is 1/15
I hope it helps
In a circle with radius 2, an angle measuring 3pi/4 radians intercepts an arc. Find the
length of the arc in simplest form.
Answer:
2
Step-by-step explanation:
2 plus 2 equals 4 so thats you answer god bless you
Which method would be the most efficient way to solve the method : substitution method, Eliminating method or equal value 3x+y=1 4x+y=2
Answer:
Eliminating method
Step-by-step explanation:
For the given situation i.e.
3x + y = 1
And,
4x + y = 2
Here we use the elimination to determine the value of x and y
So,
3x + y = 1
4x + y = 2
- - -
-x = -1
x = 1
Now put the value of x in any of the above equation
So,
3 + y = 1
y = -2
It takes Michael 4 minutes to fill 7 buckets with water. Calculate the unit rate of buckets per minute.
The answers are
A. The first wrestler
B.the second wrestler
C.they weighed the same
Using the slot method and multiple cases, calculate the probability that you would roll 3 sixes with four standard dice.
Answer:
[tex]Pr = \frac{1}{216}[/tex]
Step-by-step explanation:
The sample space of a single dice is:
[tex]S = \{1,2,3,4,5,6\}[/tex]
[tex]n(S) = 6[/tex]
Required:
The probability of rolling 3 sixes
In a sample space of a roll of die, we have:
[tex]n(6) = 1[/tex]
In a roll of dice, the probability of rolling a 6 is:
[tex]P(6) = \frac{n(6)}{n(S)}[/tex]
[tex]P(6) = \frac{1}{6}[/tex]
In 3 rolls, the probability is:
[tex]Pr = P(6)^3[/tex]
[tex]Pr = [\frac{1}{6}]^3[/tex]
[tex]Pr = \frac{1}{216}[/tex]
The area of a sector with a radius of 22 yards is 89.45 square yards. Calculate the approximate angle of the sector
Answer:
0.3696 radian
21.178°
Step-by-step explanation:
Given :
Radius, r = 22 yards
Area of Sector = 89.45 yd²
Approximate angle of the sector :
Area of Sector = 1/2 * θ * r²
89.45 = 1/2 * θ * 22²
89.45 = 0.5 * 484 * θ
89.45 = 242θ
θ = 89.45 / 242
θ = 0.3696 radian
Radian to degree
0.3696 * 180 / π = 21.178°
If the acceleration is 600m/s/s and the mass is 300kg, calculate the force? *
Answer:
600 m/s2 ×300 kg = 180000 kg.m/s2
Answer:
180000Kgm/s2
Step-by-step explanation:
Force is the product of mass and acceleration. So F=MA
F=600 x 300
F=180000
I NEED HELP ASAP!!!
Solve for x and AB. Please just type the answer. If it is not a whole number, please put it in decimal form.
Answer:
l don't understand please explain ppppppppp
Find the value of X. 108° 40°
Answer:
The answer would be x=20
Step-by-step explanation:
Z=20
Y=54
W=54
Answer would be X=20 degrees.
The value of x is 20 degree.
What is a Chord ?A chord is the line that has its end point on the circumference of the circle but do not pass through the center of the circle.
It is given in the figure to find the value of x
The two arcs have measure 108 and 40 degree
From the Property of the angle subtended by the arc at the center and angle subtended by it any other point on the circle:
Angle x = 1/2 ( angle subtended by the arc at the center)
Angle x = (1/2)*40
x = 20 degree
Therefore the value of x is 20 degree.
To know more about Chord
https://brainly.com/question/8944240
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How do you find cubic root?? Theres not a specific question, I just need to know.
Answer and Step-by-step explanation:
Picture this:
There is a base number, and when this number gets multiplied by itself 3 times, we say the number got cubed.
To find the cubic root, we find the number that had to multiply itself 3 times that got the bigger number.
Example:
Let's say we are given the number 27.
If we take the cube root of 27, we get 3.
[tex]\sqrt[3]{27}[/tex] = 3
This is because 3 times itself 3 times is 27.
3 × 3 × 3 = 27
9 × 3 = 27
27 = 27
Another Example:
We are given the number 970299.
If we put this into a calculator and press the button to do this: [tex]\sqrt[3]{x}[/tex], then, in some calculators, it would look like this: [tex]\sqrt[3]{972099}[/tex]
We we click to solve, we get that base number, or the cubed root, to be 99.
That means 99 was multiplied by itself 3 times to get 972099.
#teamtrees #PAW (Plant And Water)
Mhanifa or Anyone Answer this PLZZZZZZ
Answer:
1 ABCD = 3 PQRS
Step-by-step explanation:
Given:
ABCD = PQRS
AD = PS
DC = SR
AD = PS
6 : 18
1 : 3
DC = SR
9 : 27
1 : 3
So,
1 ABCD = 3 PQRS
pls help i’m struggling what set of points are linear
Can somebody who knows how to do this plz help answer these questions correctly (only if u done this before) thx :3
WILL MARK BRAINLEST WHOEVER ANSWERS FIRST :DDDD
Step-by-step explanation:
angle b = 25° ( vertically opposite)
angle a = 155° ( linear pair)
angle c = 155 ( vertically opposite)
angle a and c are vertically opposite angles
please help!
AABC ~ AQRS
Find the missing side length, n.
5
R
12.5
n
Q
10
B
5
2
A
4
C
n = [?]
Using the property of similar triangles, we found that the value of n is 5.
This is the length of the side RQ.
What are similar triangles?
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are similar. Similar figures are described as items with the same shape but varying sizes, such as two or more figures. Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are identical, their respective sides are equal in number and their corresponding angles are congruent.
The given triangles are both right triangles.
So they can be considered similar triangles.
One of the properties of similar triangles is that the ratio of corresponding sides is always equal.
Then we can write for the given triangles,
BA/RQ = AC/QS
2/n = 4/10
n = 2 * 10 / 4 = 5
Therefore using the property of similar triangles, we found that the value of n is 5.
To learn more about similar triangles, follow the link.
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Mike has a fish tank in the shape of a rectangular prism with dimesions of 6 feet by 5 feet by 3 feet. He has a canister that he uses to fill up the fish tank that is in the shape of a cylinder with a diameter of 2 feet and a height of 4 feet. How many tiems will he need to fil up the canister to fill up the tank?
Answer:
7 times
Step-by-step explanation:
To answer this question :
1. the volume of the rectangular prism has to b determined
2. the volume of the cannister has to be determined
3. divide the volume of the rectangular prism by the volume of the cannister
Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³
Volume of a cylinder = πr²h
where
h = height
π = 3.14
Diameter = 2r
radius = 2/2 = 1 feet
3.14 x 1 x 4 = 12.56 feet
90 / 12.56 = 7.2 times
Approximating to the nearest whole number gives 7 times
(5g2+6g-10)
-(6b2+2g+9)
Answer:
look at given picture
Step-by-step explanation:
there is complete soln
The point C(-3, -1) is rotated 180 degrees clockwise about the origin. What are the coordinates of the resulting point, C
Answer:
( 3, 1 )
Step-by-step explanation:
solve for x
Need help with this last question
Answer:
x = 8
Step-by-step explanation:
2(78°) = 20x - 4
156 = 20x - 4
add 4 to each side of the equation:
160 = 20x
divide both sides by 20:
x = 8
Elvis and $74 .50 a month.. how much does he earn to the nearest one penny.
A. in a year
B. in a week
C. in a day
Answer:
Part A
12 months a year means
%74.5 x 12 = $894
Part B
4 weeks in a month means
$74.5 ÷ 4 = $18.625
But rounded to the nearest penny. . .
$18.62
because in the thousandths place was a 5 and you round up when there is a 5 or above
Part C
We will go with 31 days in a month, but I will also do 30 for you
$74.5 ÷ 30 = $2.48333
But rounded to the nearest penny. . .
$2.48
because you round down when there is anything less than a 4
$74.5 ÷ 31 = $2.40322580645
But rounded to the nearest penny. . .
$2.40
because you round down when there is anything less than a 4
HHHHEEEEEEELLLLPPPPPPP !!!!!!
Answer:
C
Step-by-step explanation:
brown hair (H) is dominant to blond hair (h). Two hybrid parents have 4 kids. what is the likelihood that their kids will be hybrids as well? (this is punnett square)
Answer:
50 %
Step-by-step explanation:
What is the least positive integer such that it is a multiple of 16 and the product of its digits is a multiple of 12?
Answer:
24
Step-by-step explanation:
Multiples of 16 are [tex]16,32,48,64,80,...[/tex]
Find product of each of the multiple of 16 until a number is obtained, the product of whose digits is a multiple of 12.
[tex]16=1(6)=6\\32=3(2)=6\\48=4(8)=32\\64=6(4)=24[/tex]
Here, 24 is a multiple of 12.
So,
24 is the least positive integer such that it is a multiple of 16 and the product of its digits is a multiple of 12.
Help p please:)......
Find the area of a regular pentagon with a side of 10 cm. and an apothem of 4 cm.
Answer:100
Step-by-step explanation:perimeter times apothem divided by two