Answer:
36
Step-by-step explanation:
Square roots have a neat property: [tex]\sqrt{ab}=\sqrt{a}\sqrt{b}[/tex] provided a and b are positive real numbers.
This property is what's behind simplifying square roots. You look for perfect square factors (4, 9, 16, 25, 36, ...) inside the square root sign.
Example: [tex]\sqrt{20}=\sqrt{4\times5}=\sqrt{4}\sqrt{5}=2\sqrt{5}[/tex].
In this problem, both factors are perfect squares.
[tex]\sqrt{9\times144}=\sqrt{9}\sqrt{144}=3\times12=36[/tex]
Answer:
Solution given:
[tex] \sqrt{9 \times 144} [/tex]
[tex] \sqrt{3² \times 12²} [/tex]
±(3*12)
±36 is a required answer.
Without using a calculator, order the following numbers from least to greatest . 5 sqrt(14) 4
Answer:
.5, sqrt 14, 4
Step-by-step explanation:
.5, 3.7416, 4
Write an algebraic expression for the phrase below
12 less than twice a number n
A 12 - n -n B 6 - 2n C 2n - 12 D 12n – 2
Answer:
The answer is C: 2n - 12. Hope this helps!
i need help with this plzzzzzzzzzzzzzzzzzzz
Answer:
Parallel lines have to have the same slope, and the only one that has a slope of 1/4 is y = 1/4x - 1/2
Find the volume of a pyramid with a square base, where the perimeter of the base is 7.3\text{ ft}7.3 ft and the height of the pyramid is 6\text{ ft}6 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
[tex]V=6.66\ ft^3[/tex]
Step-by-step explanation:
The perimeter of the square base of a pyramid = 7.3 ft
The height of the pyramid, h = 6ft
The perimeter of a square is given by :
P = 4s, s is the side of square
7.3 = 4s
s = 1.825 ft
The volume of a pyramid is given by :
[tex]V=\dfrac{lbh}{3}[/tex]
Here, l = b = 1.825 ft
So,
[tex]V=\dfrac{1.825\times 1.825\times 6}{3}\\\\V=6.66\ ft^3[/tex]
So, the volume of the pyramid is equal to [tex]6.66\ ft^3[/tex].
A bag of M&M's have 5 red, 9 green and 2 brown left in it. You draw out one M&M and put it back then draw another. What is the probability of drawing a red first and a red second? Write your answer as a decimal rounded to the nearest thousandth
Answer:
0.098
Step-by-step explanation:
solve , √(6*6) + √(7*7) please ASAP
Answer:
[tex] \sqrt{(6 \times 6 } + \sqrt{7 \times 7} \\ = \sqrt{ {6}^{2} } + \sqrt{ {7}^{2} } \\ = { ({6}^{2} )}^{ \frac{1}{2} } + { {(7}^{2} )}^{ \frac{1}{2} } \\ = 6 + 7 \\ = 13[/tex]
Answer:
The answer is 13 I hope that helped you buddy <3
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
9 mi
Boat
12 mi
A. 15 mi
B. 21 mi
A boat leaves the dock and travels 9 miles due south, then 12 miles due west. Hence, the length of the boat from the dock will be 15 miles.
What is Pythagoras's Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
Let x be the length of the boat from the dock.
From the Pythagoras' theorem
[tex]|x|^2 = |12|^2 + |9|^2 \\\\x^2 = 144 + 81\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]
Hence, the length of the boat from the dock will be 15 miles.
Learn more about Pythagoras' theorem here:
https://brainly.com/question/12105522
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What is the result when the number 72 is decreased by 44%? Round your answer to the nearest tenth.
Will pay for answer
Triangle DEF has vertices at the coordinates D(1,-1), E (3,4), and F(4,2). Where does the median from E Intersect DF? Compute the
length of that median. (The use of the grid is optional.)
Need ASAP
Answer:
3.54
Step-by-step explanation:
let M be the midpoint of DF
M (x,y): x = (1+4)/2 = 2.5 y = (2 + -1)/2 = 0.5
Median from E intersect DF: EM = √(3 - 2.5)² + (4 - 0,5)²
EM = √0.5² + 3.5² = 3.54
Find the volume use pi as part of the equation round to nearest hundred
Answer:
V = 340.339
Step-by-step explanation:
V = [tex]\frac{\pi r^{2} h }{3}[/tex]
V = [tex]\pi[/tex][tex](5)^{2}[/tex] [tex]\frac{13}{3}[/tex] = 25[tex]\pi[/tex] [tex]\frac{13}{3}[/tex] = about 340.3392 = 340.339
Answer:
340.17 ft.
Step-by-step explanation:
Using the formula, πr²h ÷ 3 (3.14 × radius × radius × height ÷ 3), we can plug-in the unknown values.
'r' means radius; 'h' means height; 'π' means pi.
The radius is 5; the height is 13.
πr²h (3.14 × radius × radius × height ÷ 3) - π5² × 13 = 340.166666667 (3.14 × 5 × 5 × 13 ÷ 3 = 340.166666667)
340.166666667 ≈ 340.17
Therefore, the area of this circular cone is 340.17 ft.
Hal and Samantha are going on a trip to the state park. They want to be out there for no more than 8 hours, and they also want to travel at least 30 miles. They can hike at a rate of 3 mph, and they can canoe at a rate of 6 mph. If the solution region is the amount of time they spend hiking and canoeing so that they can meet their goals, which graph's shaded area represents the solution region?
Answer:
z
Step-by-step explanation:
Each sq. In. Of your body has about 6.5×10^2 pores. Suppose the back of your hand has an area of about 0.12×10^2 in^2
Answer:
7800 pores on the back of your hand
Step-by-step explanation:
So, assuming the question is how many pores on the back of your hand...
Multiply the number of pores per square inch by the area of the back of your hand.
(6.5 x 10^2)(.12 x 10^2) = 7800
The number of the pores on the back of your hand will be 7800
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
So, assuming the question is how many pores on the back of your hand...
Multiply the number of pores per square inch by the area of the back of your hand.
(6.5 x 10²)(.12 x 10²) = 7800
Hence the number of the pores on the back of your hand will be 7800
To know more area follow
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Please help me I have been stuck for a while now
The square root of 9 is 3, so the square root of 11 would be a little greater than 3
The answer would be C. 3.3
Find X (2/3 x) (x + 40)
The Answer Is X=84
Make an equation for x.
x+40+2/3x=180
x+2/3x=140
Combine like terms.
1 2/3x=140
140/1 2/3 =84
x=84
The coordinates of the point L are (-3,7) and the coordinates of point M are
(-3,2). What is the distance, in units, between the point L and point M?
Answer:
5.
Step-by-step explanation:
x axis is the same. do 7-2. Which equls 5.
Which answer is correct?
Answer:
B
Step-by-step explanation:
Philip rode less than her so immediately you subtract which cancels answers a and d.
we aren't dividing the answers, he rode 3 TIMES faster, meaning multiply. which is why it's 5
The sum of two integers is 10, and the sum of their squares is a minimum. Find the integers.
The perimeter of the figure below is 61.1 m. Find the length of the missing side.
Answer:
I believe it would be 12.9
Step-by-step explanation:
perimeter is all of the outside lengths combined. if you take the 61.1 and subtract the lengths it gives you, the remaining length should be your answer
If using the method of completing the square to solve the quadratic equation x2 – 3x + 20 = 0, which number would have to be added to "complete the square"?
Answer:
⁹/₄Step-by-step explanation:
The square is: a²-2ab+b²
We have
[tex]x^2-3x[/tex]
it's: [tex]x^2-2\cdot x\cdot\frac32[/tex]
so we need: [tex]\left(\frac32\right)^2=\frac94[/tex]
[tex]x^2-2\cdot x\cdot\frac32+\frac94-\frac94+20=0\\\\(x-\frac32)^2-2.25+20=0\\\\(x-\frac32)^2=-17.75[/tex]
witch, of course, means no solution
(01.02 MC)Which of the following correctly uses absolute value to show the distance between -50 and 12?
OT-50 - 12| = |-62] = -62 units
OT-50 + 12 = 1-38= 38 units
OT-50 + 12 = 1-38] = -38 units
OT-50 - 12| = |-62] = 62 units
Plz help
Answer: Choice D
|-50-12| = |-62| = 62 units
================================================================
Explanation:
Draw out a number line. Mark two points on it at A = -50 and B = 12
The expression |A-B| represents the distance between the two points. So that would be....
|A-B| = |-50-12| = |-62| = 62
Note that negative distance does not make sense. The smallest distance can get is 0. So the result of an absolute value problem is never negative.
-------------------
Slightly alternative method:
If you wanted, you could plot point C on the number like such that C is at 0.
The distance from A = -50 to C = 0 is exactly 50 units
From C = 0 to B = 12 is an additional 12 units
Therefore, the total distance is AC+CB = 50+12 = 62 units
-------------------
Side note: |A-B| is the same as |B-A|. The order of subtraction doesn't matter as long as you use absolute value. If absolute value wasn't there, then A-B is different from B-A.
Eric starts with 10 milligrams of a radioactive substance. The amount of the substance decreases by 12 each week for a number of weeks, w. He writes the expression 10(12)w to find the amount of radioactive substance remaining after w weeks. Andrea starts with 1 milligram of a radioactive substance. The amount of the substance decreases by 20% each week for a number of weeks, w. She writes the expression (1−0.2)w to find the amount of radioactive substance remaining after w weeks. Use the drop-down menus to explain what each part of Eric’s and Andrea’s expressions mean.
Answer:
In Pic
Brainliest?
Step-by-step explanation:
Answer: Mark as brainliest "If" help
Step-by-step explanation: Hope It helps,,
slope (7,-4) and (7,-1)
Answer:
undefined
Step-by-step explanation:
line is straight up and down
Answer:
Undefined. It ends up being 3/0 which can't happen so it remains undefined.
Step-by-step explanation:
.
Which of the following shapes could have a triangular cross-section? Prism ,Cone ,Cylinder ,Pyramid ?
A) Prisms only
B) Prisms and Cones
C) Prisms, Cones, and Pyramids
D) Prisms, Cylinders, and Pyramids
please help me
What is the interquartile range (IQR)?
Answer:
IQR = 3
Step-by-step explanation:
if you create a box plot from the data provided, you get these values:
minimum: 4
quartile 1: 5
median: 6.5
quartile 3: 8
max: 22
range: 18
IQR is the difference between the 3rd and 1st quartiles
∴ the answer is 8-5 or 3
A shipping container is in the shape of a right rectangular prism with a length of 7.5
feet, a width of 1.5 feet, and a height of 6.5 feet. The container is completely filled
with contents that weigh, on average, 0.34 pound per cubic foot. What is the weight
of the contents in the container, to the nearest pound?
Answer:
3
Step-by-step explanation:
because two plus two
Complete the table using the equation
Answer:
x -1 0 1 2 3
y 2 4 6 8 10
Step-by-step explanation:
y = 2x + 4
x = -1: y = 2(-1) + 4 = 2
x = 0: y = 2(0) + 4 = 4
x = 1: y = 2(1) + 4 = 6
x = 2: y = 2(2) + 4 = 8
x = 3: y = 2(3) + 4 = 10
x -1 0 1 2 3
y 2 4 6 8 10
Write 4 equations:
-2 equations using sine based on triangle ABC
-2 equations using cosine based on triangle ABC
its B. if there's choices
In 3 548 729, what digit is in the ten thousands place?
Answer:
4
Step-by-step explanation:
Answer: 7
Step-by-step explanation: because it is 5 spaces over
سلام. ایرانی ها بیان فالو بک بدیم
[tex] \sqrt[5]{1024} = \frac{?}{?}[/tex]
2^10/5 = 2^2 = 4
................................
how many 3 letters words can be formed with or without meaning from the letters DURIAN
Answer:
120 ways
Step-by-step explanation:
For this question, you just have to use the permutation technique or multiplication rule.
By using the multiplication rule,
6×5×4=120 ways
By using the permutation technique,
6P3=120 ways
correct me if I'm wrong