Answer:
7/9
Step-by-step explanation:
√(49/81)
Distribute the square root to both the numerator and denominator.
√49/√81
Solve the square root.
√49 = 7
√81 = 9
7/9
The solution to the square root of 49 divided by 81 is equal to 7/9.
What is a quotient?In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).
Based on the information provided above, we can logically deduce that the following mathematical expression would represent the "the quotient for square root of 49 divided by 81;"
Expression: [tex]\sqrt{\frac{49}{81}}= \frac{7}{9}[/tex]
Expression: 7/9
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In a local ice sculpture contest, one group sculpted a block into a rectangular based pyramid. The dimensions of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this sculpture.
Answer:
87.6m²
Step-by-step explanation:
From the above question, we are given the following information
The dimensions of the base were 3 m by 5 m:
Length = 3m
Width = 5m
The pyramid was 3.6 m high
Height = 3.6m
To calculate the amount of ice needed for this sculpture, we would have to find the Surface Area of the Rectangular Prism
This is calculated as:
Surface Area =2(wl+hl+hw)
= 2(3 × 5 + 3.6 × 3 + 3.6 × 5)
= 2(15 + 10.8 + 18)
= 2(43.8)
= 87.6m²
The amount of ice needed for this sculpture is 87.6m²
John’s parents put $40 on his school account for lunch. Each day is a three dollars for lunch. Y represent the amount of money John has after x days in a school account.
Answer:
y = $40 - ($3/day)x
Step-by-step explanation:
y = $40 - ($3/day)x represents the amount of money John has left after x days.
Which of the following can be represented by the inequality below? 69h + 126 > 540 A. Yvonne is driving more than 540 miles on a trip. She has already driven 126 miles and drives 69 miles each hour. B. Yvonne is driving less than 540 miles on a trip. She has already driven 126 miles and drives 69 miles each hour. C. Yvonne is driving less than 126 miles on a trip. She has already driven 69 miles and drives 540 miles each hour. D. Yvonne is driving more than 540 miles on a trip. She has already driven 69 miles and drives 126 miles each hour.
Answer:
The answer is A.
Step-by-step explanation:
The inequality states that the amount that Yvonne drives is more than 540 miles. Since h represents the number of hours, we know that 69 probably means the number of miles Yvonne can drive per hour. Finally, 126 shows the amount of miles that Yvonne has already driven.
a plane flies 90 kilometres on a bearing 030 and then flies 150 kilometres due east how far east of the of the starting point is the plane
Answer: 45√3 + 150 ≈ 227.94
Step-by-step explanation:
A bearing of 30° means we can create a 30-60-90 triangle. We are looking for the x-value = 45√3 ≈ 77.94
Add to that value, the additional 150 due east.
77.94 + 150 ≈ 227.94
What is π/6? I don’t know. No calculators!
Answer:
You could approximate pi to be 3.14, and divide that by 6.
Step-by-step explanation:
Answer:
30 degrees
Step-by-step explanation:
If π/6 is an angle in radians
So, Converting it into degrees will make :
=> π/6 * 180 => 30 degrees
Find the missing side length
If ΔPQR ≅ ΔJKL and ∠P = 35º, then which other angle also equals 35º. a ∠J b ∠K c ∠L d None of these choices are correct.
Answer:
A: Angle J
Step-by-step explanation
If the two triangles are congruent then their corresponding angles are also congruent. This means that angle P is congruent to angle J, angle Q is congruent to angle K and angle R is congruent to angle L. Hope this helps :D
Find the volume of the cylinder express your answers in terms of pi
Answer:
704 pi in ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi ( 8)^2 * 11
V = pi (704)
V = 704 pi in ^3
Answer:
[tex]704 \: \pi \: {inches}^{3} [/tex]Step-by-step explanation:
Solution,
Radius(R)= 8 in.
Height (h)= 11 in.
Volume of cylinder=?
Now,
Volume of cylinder:
[tex]\pi {r}^{2} h[/tex]
[tex]\pi \: {(8)}^{2} \times 11 [/tex]
[tex]\pi \times 64 \times 11[/tex]
[tex]704\pi \: {inches}^{3} [/tex]
Hope this helps...
Good luck on your assignment..
Can you help me cause I’ve been struggling
Answer:
-8
Step-by-step explanation:
Hope it helps you.
Can you mark my answer as a Brainliest Please
A pentagon’s five internal angles are consecutive numbers. What is the largest of the five angles?
Answer:
106,107,108,109,110
Step-by-step explanation:
The external angles of any regular shape add up to 360. Thus, each internal angle of a pentagon = 540. 540/5= 108
Then simply add and subtract one twice to get a number set of 106,107,108,109,110
sector of a circle is given with radius 7cm and angle subtended by the sector of a circle is 500
,
Calculate,
(i) area of sector,
Answer:
The area of the sector is 21.39 cm^2
Step-by-step explanation:
Mathematically, to calculate the area of a sector, the formula to use is;
A = Theta/360 * pi * r^2
where Theta is the angle subtended at the center of the circle = 50 degrees
r is the radius of the circle = 7cm
pi = 22/7
Substituting these values into the area of sector equation, we have;
A = 50/360 * 22/7 * 7 * 7 = (5 * 22*7 )/36 = 21.39 cm^2
Please answer this in two minutes
Answer:
TUV=52
Step-by-step explanation:
2z+65+59+26z=180
28z+124=180
28z=56
z=2
26*2=52
Answer:
TV
Step-by-step explanation:
The sum of the angles of a triangle are 180
z+59 + z+65 + 26z = 180
Combine like terms
28z + 124 = 180
Subtract 124
28z = 180-125
28z =56
Divide by 28
28z/28 = 56/28
z=2
The smallest side is opposite the smallest angle
26*2 = 52
<u is the smallest angle so TV is the smallest side
Triangle ABC is rotated 45° about point X, resulting in triangle EFD. Triangle A B C is rotated 45 degrees about point X to form triangle E F D. The lengths of sides A C and D E are congruent, the lengths of sides A B and E F are congruent, and the lengths of sides D F and C B are congruent. If EF = 4.2 cm, DF = 3.6 cm, and DE = 4.5 cm, what is CB? 3.3 cm 3.6 cm 4.2 cm 4.5 cm
Answer:
CB = 3.6 cm
Step-by-step explanation:
Here, triangle ABC is rotated about point X which results in triangle EFD. Since triangle ABC is rotated it retains its shape and dimensions. This means that triangle ABC is parallel to triangle EFD ie, ABC≈EFD, also both dimensions will be congruent.
Thus
AB = EF
BC = FD
AC = ED
CB = DF
BA = FE
CA = DE
Since length of side DF = length of side CB, and DF = 3.6 cm. Therefore, CB = DF = 3.6 cm
Length of CB = 3.6 cm
Answer: B it's B
Step-by-step explanation: I got it right
Help plzz thanxs.....
Answer:
Step-by-step explanation:
33
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Answer:
Hey there!
We have sine xyz=6/15
sine xyz=0.4
arc sine 0.4=xyz
xyz=23.6
Hope this helps :)
The rectangle below has an area of 15k^4 + 35k^3 + 20k^2. The width of the rectangle is equal to the greatest common monomial factor of 15k^4, 35k^3, and 20k^2. What is the length and width of the rectangle?
The greatest common factor is the biggest number that divides evenly into each one of the numbers without a remainder...the only thing that's different about our situation is that we have variables in addition to regular number (but the same logic applies...we need to find the biggest variable that goes into k^4 , k^3 , and k^2 ).
The biggest number that goes into 15, 35 and 20 is the number 5. The biggest variable that goes into k^4 , k^3 , and k^2 is k^2
Combining the number and the variable, we get that the greatest common monomial factor is 5k^2
Since area is length x width, and we just figured out that width is 5k2 , all we have to do to find length is divide 15k4+35k3+20k2 by 5k2 , and we get that the length is 3k^2+7k+4
So the width is 5k^2 and the length is 3k2+7k+4
:))
-Eli
Write the expression as a square of a binomial if possible: 19x^2+2/15xy+1/25y^2 Anyone who answers my question I will name brainliest. Thank You
Answer:
Formula: a² + 2ab + b² = (a + b)²
The square root of 1/9x² = 1/3x so a = 1/3x and b = 1/5y.
The answer is (1/3x + 1/5y)².
Find the gradient of the line segment between the points (-2,3) and (-5,6).
Answer:
-1Solution,
Let the points be A and B.
A(-2,3)---->(X1,y1)
B(-5,6)---->(x2,y2)
Now,
[tex] \frac{y2 - y1}{x2 - x1} \\ = \frac{6 - 3}{ - 5 - ( - 2)} \\ = \frac{3}{ - 5 + 2} \\ = \frac{3}{ - 3} \\ = - 1[/tex]
Hope this helps..
Good luck on your assignment..
If the measure of ∠1 is 50°, what is the measure of ∠8?
Answer:
∠8 is 400°
Step-by-step explanation
if ∠1 is 50° then you do 50 x 850 x 8 = 400
that means that the measure of ∠8 is 400°
Answer:
130 degrees I got it correct trust me
find a18 of the arithmetic sequence 2, -5, -12, -19
Answer:
The 18th term of the sequence is -117.
Step-by-step explanation:
The given sequence is 2,-5,-12,-19
From this AP,
First term, a = 2
Common difference, d = -5-2 = -7
It is required to find the 18th term of the sequence. The nth term of an AP is given by :
[tex]a_n=a+(n-a)d\\\\a_{18}=a+17d\\\\a_{18}=2+17\times (-7)\\\\a_{18}=-117[/tex]
So, the 18th term of the sequence is -117.
Evaluate the expression. Choose the best answer.
8! +6! .3!
OA) 44,640
OB) 42,640
OC) 40,320
OD) 41,046
Answer:
(8!+6!.3!)
=6!(8×7+6)
=720(56+6)
=720(62)
=720×62
=44640
Through any 2 points there is exaclty_____line.
Answer:
One
Step-by-step explanation:
Through any 2 points, there is exactly one line.
Answer:
ONE
Step-by-step explanation:
Through any 2 points there is exaclty ONE line.
Avery wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 3.2% and the other bank is offering a rate of 3% compounded annually. If Avery decides to deposit $7,000 for 5 years, which bank would be the better deal? 1. a simple interest rate of 3.2% 2. a compound interest rate of 3%
Answer: a simple interest rate of 3.2% will be the better deal.
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = P (1 + r/n) nt
Where:
A = Future value of investment (principal + interest)
P = Principal Amount
r = Nominal Interest Rate (decimal form, 3/100= 0.03)
n= number of compounding periods in each year (1)
Replacing with the values given
A = 7000 (1+0.03/1)^(1x5)
A = 7000( 1.03)^5 = $8,114.92
For simple interest:
I = p x r x t
Where:
I = interest
Replacing with the values given:
I = 7000 x (3.2/100) x 5 = $1,120
Adding the principal amount: 7000+1120 = $8,120
Since 8,120 (simple) >8,114.92(compound)
a simple interest rate of 3.2% will be the better deal.
The number of patients treated at Dr. Frank's dentist office each day was recorded for eight days: 15, 4, 6, 12, 16, 20, 16, 3. Using the given data, find the mean for this sample.
Answer:
11.5
Step-by-step explanation:
the mean of a set of numbers is the sum divided by the number of terms
(15+4+6+12+16+20+16+3)/8
The required mean of the data for the sample of Dr. Frank's dentist office is 11.5.
Given that,
The number of patients treated at Dr. Frank's dentist's office each day was recorded for eight days: 15, 4, 6, 12, 16, 20, 16, 3. Using the given data, find the mean for this sample is to be determined.
The average of the values is the ratio of the total sum of values to the number of values.
Here,
The number of patients treated was recorded for eight days,
Sample space = 15, 4, 6, 12, 16, 20, 16, 3
n(s) = 8
Mean = (15 + 4 + 6 + 16 + 20 + 16 + 3) / 8
Mean = 92 / 8
Mean = 11.5
The required mean of the data for the sample of Dr. Frank's dentist office is 11.5.
Learn more about average here:
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write the monomial in standard form. name it's coefficient and identify its degree.
2/3m^2 n *4.5n^3
Answer:
[tex]Standard\ Form = {3n^2} m^{-2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{3m^2n} * 4.5n^3[/tex]
Required
Write in Standard Form
To start with; the two monomials have to be multiplied together;
[tex]\frac{2}{3m^2n} * 4.5n^3[/tex]
[tex]Standard\ Form = \frac{2 * 4.5n^3}{3m^2n}[/tex]
Split the numerator and the denominator
[tex]Standard\ Form = \frac{2 * 4.5 * n^3}{3 * m^2 * n}[/tex]
Multiply Like terms
[tex]Standard\ Form = \frac{9 * n^3}{3 * m^2 * n}[/tex]
Divide 9 by 3 to give 3
[tex]Standard\ Form = \frac{3 * n^3}{m^2 * n}[/tex]
Divide n³ by n to n²
[tex]Standard\ Form = \frac{3 * n^2}{m^2 }[/tex]
Split fraction
[tex]Standard\ Form = {3 * n^2} * \frac{1}{m^2 }[/tex]
From laws of indices;
[tex]\frac{1}{a^n} = a^{-n}[/tex]
[tex]Standard\ Form = {3 * n^2} * \frac{1}{m^2 }[/tex] becomes
[tex]Standard\ Form = {3 * n^2} * m^{-2}[/tex]
Multiply all together
[tex]Standard\ Form = {3n^2} m^{-2}[/tex]
Jane is using a ladder to paint under a window of her house. The straight line distance from the bottom of the window to the ground is 6ft. (leg a). The bottom of the ladder is 5 ft. From the house (leg b). How tall must the ladder be to reach the window. You are finding "c".
Answer:
Step-by-step explanation:
The ladder forms a right angle triangle with the wall. The straight line distance from the bottom of the window to the ground forms the opposite side. The distance from the bottom of the ladder to the house represents the adjacent side. To determine the required length of the wire, c, we would Pythagorean theorem which us expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
c² = 6² + 5² = 36 + 25 = 61
c = √61 = 7.81 ft
I do not understand this/ help me answer these
Answer:
-6b -6c3w -122x -246 + 3r8y - 16xStep-by-step explanation:
PLEASE HELP!!!
For the data set 7, 5, 10, 11, 12, the mean, x, is 9. What is the standard
deviation?
==================================================
Explanation:
The weird or fancy looking E symbol is the greek uppercase letter sigma. It is effectively the english version of S to represent summation. So we add up all the [tex](x-\overline{x})^2[/tex] terms to get this. Luckily this has already been done for us in the table where they wrote "sum = 34", so [tex]\sum(x-\overline{x})^2 = 34[/tex]
From here, we substitute this into the formula, along with n = 5 since there are 5 items in the original list
So,
[tex]s = \sqrt{\frac{1}{n-1}\sum(x-\overline{x})^2} \\\\s = \sqrt{\frac{1}{5-1}*34} \\\\s = \sqrt{\frac{1}{4}*34} \\\\s = \sqrt{0.25*34} \\\\s = \sqrt{8.5} \\\\s \approx 2.91547594742266 \\\\s \approx 2.9 \\\\[/tex]
This computes the sample standard deviation. To get the population standard deviation, you'd basically change the "n-1" to simply "n", and the rest of the formula is identical.
A $4'$ by $2'$ rectangular flag is made of a $2'$ by $2'$ black square bordered by a $1'$ by $2'$ white rectangle on each of two opposite sides of the black square. A white symbol covers one-third of the area of the black square. What fraction of the total area of the front of the flag is white? Express your answer as a common fraction.
=========================================================
Work Shown:
A = area of black square
A = 2*2
A = 4
B = area of white symbol
B = (1/3)*A
B = (1/3)*4
B = 4/3
C = total area
C = 4*2
C = 8
Divide the values of B and C to find the fraction of the total area the white symbol covers up.
B/C = (4/3)/8
B/C = (4/3) / (8/1)
B/C = (4/3) divided by (8/1)
B/C = (4/3) times (1/8)
B/C = (4*1)/(3*8)
B/C = 4/24
B/C = 1/6
What is the range? Explain
Answer:
Range = [5, ∞)
Step-by-step explanation:
The initial number of snakes is 5 and it is increasing at a high rate so the maximum number is infinite. The population is increasing exponentially according to the equation P = 5(2)^t where t = the number of years.
solve for z. 4z+12=28
Answer: z=4
Step-by-step explanation:
4z+12=28
-12 on both sides
28-12=16
4z=16
divide 4 on both sides
z=4
Answer:
z=4
Step-by-step explanation:
4z+12=28
Subtract 12 from each side
4z+12-12=28-12
4z = 16
Divide each side by 4
4z/4 = 16/4
z = 4