We have a group of 169 students that needs to be seated in a square formation. Then, the number of rows has to be the square root of 169 :-
[tex]r = \sqrt{169} = 13[/tex]
Then, a square of 13 rows and 13 columns will fit the 169 students.
If the number of students is 1024, then the number of rows N can be calculated as :-
[tex] {N}^{2} = 1024[/tex]
[tex]N = \sqrt{1024} [/tex]
[tex]N = 32[/tex]
Final Answer :-169 students will seat in a 13×13 formation.
1024 students will seat in a 32×32 formation (N=32)
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PLEASE HELP ME WILL MARK BRAINLIEST THIS IS DUE IN A HOUR
Answer:
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Step-by-step explanation:
Add the following fractions answer in lowest terms.
1) 9/10+4/5+5/6=
2) 14/15+2/9+1/5=
please give me Right answers please.
Answer:
1) 9/10 + 4/5 + 5/6 = 2 8/15
2) 14/15 + 2/9 + 1/5 = 1 16/45
==============================================
Solution:
[tex] \bold{1)} \: \tt \frac{9}{10} + \frac{4}{5} + \frac{5}{6} \\ \\⟹ \tt \frac{9}{10} + \frac{4}{5} \\ = \tt \frac{9 \times 1}{10 \times 1} + \frac{4 \times 2}{5 \times 2} = \frac{9 + 8}{10} = \frac{17}{10} \\ \\ ⟹\tt \frac{17}{10} + \frac{5}{6} \\ = \tt \frac{17 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5} = \frac{51 + 25}{30} = \frac{76}{30} \: or \: 2 \frac{16}{30} = 2 \frac{8}{15} \\ \\ \\ \\ \bold{2)} \tt \: \: \frac{14}{15} + \frac{2}{9} + \frac{1}{5} \\ \\⟹ \tt \frac{14 \times 3}{15 \times 3} + \frac{2 \times 5}{9 \times 5} = \frac{42 + 10}{45} = \frac{52}{45} \\ \\⟹ \tt \frac{52}{45} + \frac{1}{5} \\ = \frac{52 \times 1}{45 \times 1} + \frac{1 \times 9}{5 \times 9} = \frac{52 + 9}{45} = \frac{61}{45} = 1 \frac{16}{45} [/tex]
What is the slope of the graph?
Work is shown to solve for the system of equations.
Why does the answer for y indicate that the system has no real number solutions.
O The solution does not solve for X first.
O The values for Y are square roots of negative numbers.
O The values for y have square roots.
O The values for Y have a positive and a negative value.
Answer:
B The values for y are square roots of negative numbers.
Answer:
b
Step-by-step explanation:
Angles on a line add up to 180. So what is x?
Answer:
x=121
Step-by-step explanation:
360_304=56180_115=6565+56=121x=121Answer:
x = 121°
Step-by-step explanation:
180 - 115 = 65°
The angle beside 115° is 65°.
A full circle is 360° so
360 - 304 = 56°
Add the two angles
65 + 56 = 121°
Subtract it to 180° to find the other angle
180 - 121 = 59°
Now subtract again to 180° to find the angle in the other side
180 - 59 = 121°
When 4 × 102 is divided by 2 × 10–2 the resulting quotient has 10 raised to the power of
Answer:
2038 that's a answer po because hindi kasali ang 10
The exponent is represented as [tex]A=2*10^{4}[/tex] where the resulting quotient has 10 raised to the power of 4.
Given data:
To perform the given division of [tex]A=\frac{4*10^{2}}{2*10^{-2}}[/tex] , we can use the properties of exponents and arithmetic operations.
When dividing numbers with the same base (in this case, 10), we subtract the exponent in the denominator from the exponent in the numerator:
So, the exponent is represented as A.
The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1.
Now, the value of [tex]A=\frac{4*10^{2}}{2*10^{-2}}[/tex].
Now, simplify the exponent expression:
[tex]A=\frac{4*10^{2+2}}{2}[/tex]
[tex]A=2*10^{4}[/tex]
Hence, the exponential form is [tex]A=2*10^{4}[/tex].
To learn more about exponential form, refer:
https://brainly.com/question/29337692
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Lucy deposits $200 into an account that pays simple interest at a rate of 3% per year. How much Interest will she be paid in the first 3 years?
Answer:
$16.48
Step-by-step explanation:
Split this up into the four years.
For the first year, multiply 200 x .02 to get 4
Add 4 onto your total. ($204.00)
For the second year multiply 204 x .02 to get 4.08
Add 4.08 onto your total. ($208.08)
For the third year multiply 208.08 x .02 to get 4.1616 but round to 4.16
Add 4.16 onto your total ($212.24)
For the fourth year multiply 212.24 x .02 to get 4.2448 but round to 4.24
Add 4.24 onto your total (216.48)
Now subtract 200 from your total
216.48-200 = 16.48
She will be payed $16.48 in interest.
Help me please
You need to find the measure of angle A
Most people don’t do this when I ask these questions
Answer:
Step-by-step explanation:
6x + 5 = 4x + 45
6x - 4x = 45 - 5
2x = 40
x = 20
6x + 5 = 6.20 + 5 = 125°
The difference between two numbers is 5, and 2 times the lesser number is 18 more than the greater number. Find the numbers.
Answer:
Let x and y be the numbers, with x the larger one.
x - y = 5
2y = x + 18
Then solve this system of equations:
x - y = 5
x - 2y = -18
Subtract bottom equation from top equation and get
y = 23
So x = y + 5 = 23 + 5 = 28
A family needs to build fencing around their rectangular home and square swimming pool, depicted below
Answer:
160
Step-by-step explanation:
Solve the equation
9 + 13 = 31
False
9 + 13 = 31
22 ≠ 31
Answer:
22
Step-by-step explanation:
po ang tamang sagon po
elena gives following sequence of transformation to show that the two figures are similar by transforming ABCD into EFGD. dialte using center D reflect using the line AE is elenas method correct
Answer:
Elena is incorrect.
Step-by-step explanation:
In the first step, the figures are supposed to be about the same size. But the reflection over AE does not match them together. The correct line must be vertical and it has to go through point D.
If I'm correct, the scale copy should be 2.
∴/therefore, if it doesn't go through point D, Elena is incorrect.
Mark me brainliest if possible, it's always appreciated! ¯\_(ツ)_/¯
-❤AbqveNatural❤
a football team won 80% of the 150 games in a season. Wright the percent proportion that will help you solve the problem in that point
Is ABC" ADEF? If so, identify the similarity postulate or theorem that
applies
15
A. Similar - AA
B. Similar - SAS
C. Similar - SSS
D. Cannot be determined
here is answer
- BRAINLIEST answerer
The ∆ABC ~ ∆DEF by AA similarity Criteria.
What is Similarity?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 similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
Two angles in ∆ABC and their equivalent angles in DEF are congruent.
Hence, it follows that the triangles' third pair of angles would likewise be similar.
So, the three sides of ∆ABC and corresponding sides of ∆DEF will be proportional to each other.
Then here the AA Similarity Criterion will be used.
Thus, ∆ABC ~ ∆DEF by AA Similarity rule.
Learn more about similarity here:
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Can anyone help me to verify identities
Answer:
Step-by-step explanation:
18.
LHS
[tex]\frac{cos^{2}a-sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]
= [tex]\frac{cos^{2}a }{sin^{2}a.sin^{2}b} -\frac{sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]
= [tex]\frac{cos^{2}a}{sin^{2}a}[/tex] × [tex]\frac{1}{sin^{2}b}[/tex] - [tex]\frac{sin^{2}b}{sin^{2}b}[/tex] × [tex]\frac{1}{sin^{2}a}[/tex]
= [tex]cot^{2}a[/tex] × [tex](1+cot^{2}b)[/tex] - 1 × [tex](1 + cot^{2}a)[/tex]
= [tex]cot^{2}a[/tex] + [tex]cot^{2}a.cot^{2}b[/tex] - 1 - [tex]cot^{2}a[/tex]
= [tex]cot^{2}a.cot^{2}b[/tex] - 1
Then you can conclude that LHS = RHS
19. It's weird. I tried a few ways like simplifying, dividing both numerator and denominator on LHS by tan or sin or cos but it didn't work out.
PLZ HELP I NEED IT
Find the length for X
Answer:
Step-by-step explanation:
[tex]\frac{6}{4.5}=\frac{4}{x}[/tex]
6x = 4 × 4.5
6x = 18
x = 3
Use the distributive property to write an expression that is equivalent to 8 + 24x
Answer:
8(3x + 1)
Step-by-step explanation:
8 and 24 are multiples of 8
(8/8) + (24x/8) = 1 + 3x
The equation with distributive property is 8(1 + 3x)
-Chetan K
solve pls brainliest
Answer: 1 is none 2=A 3=B 4=C
Step-by-step explanation:
see it in shapes
Answer:
1. none
2. a
3. b
4. c
Step-by-step explanation:
1: This represents the net of a triangular prism, for it has a square in the middle, two triangles, and two other squares/rectangles. However, there is no triangular prism among the three solids, so the answer for this is none.
2: This represents the net of a cone, for it has a circle as the base and a sector that gives the cone it's curved surface. There is one cone among the three solids, and the answer for this one is A.
3: This represents the net of a tetrahedron, for it consists of 4 equilateral triangles and having one of the triangles as its base. Therefore, the answer for this one is B.
4: This represents the net of a square pyramid, composed of a square as the base and 4 triangles surrounding it. There's one square pyramid among the answer choices, so the answer for #4 is C.
Given that the zeros of a quadratic function are −2 and −5, what is the standard form of the quadratic function? A) f(x) = x2 + 5x + 10 B) f(x) = x2 + 7x + 10 C) f(x) = x2 − 5x + 10 D) f(x) = x2 − 7x + 10
Step-by-step explanation:
x = -2 and x = -5
x + 2 = 0 and x + 5 = 0
(x + 2)(x + 5) = 0
x² + 5x + 2x + 10 = 0
x² + 7x + 10 = 0
Option → B
Graph: f(x) = 4 to the power of 4
Answer:
how am I supposed to graph?
Step-by-step explanation:
Use quadratic regression to find a function that fits the following points. (-2,-16), (3,11), (0,2).
Answer:
y = -1.2x² +6.6x +2
Step-by-step explanation:
The quadratic regression function of a calculator or spreadsheet can do this for you. The resulting function is ...
y = -1.2x² +6.6x +2
_____
If you want to do this by hand, put the given (x, y) values into the formula ...
ax² +bx +c = y
and solve the resulting system of equations.
The third point tells you c=2, so you can simplify the system of equations to ...
a(-2)² +b(-2) +2 = -16 ⇒ 4a -2b = -18 ⇒ 2a -b = -9
a(3)² +b(3) +2 = 11 ⇒ 9a +3b = 9 ⇒ 3a +b = 3
Adding these equations together gives ...
(2a -b) +(3a +b) = (-9) +(3)
5a = -6 . . . . . . . . simplify
a = -1.2 . . . . . . . divide by 5
b = 3 -3a = 3 -3(-1.2) = 6.6 . . . . from the second equation
Now we know the coefficients are a=-1.2, b=6.6, c=2, so the function is ...
y = -1.2x² +6.6x +2
Jan skips 5 m north, 4 m east, 6 m north, 16 m east, and 4 m north. How far is Jan from where
she started?
help asap!!
Answer:35 m
Step-by-step explanation:
North: 5+6+4. East: 4+16. 15+20
Answer using seconds please!!!
Using my faucet, it takes 6 minutes to fill our water tank.
Using the neighbour’s hose, it takes 9 minutes.
How long would it take if I used both the faucet and the hose?
Answer:
900 seconds I believe
Step-by-step explanation:
60*6= 360
9*60=540
540+360=900
Plz help me solve for x and y
Answer:
x = 40°
y = 30°
Step-by-step explanation:
Given parallelogram ABCD :
∠A = 3x°∠B = 2y°∠C = 120°∠A = ∠C∠B = ∠D∠A + ∠B = 180°∠B + ∠C = 180°∠A + ∠B + ∠C + ∠D = 360°∠A = ∠C
3x = 120
x = 120 ÷ 3
x = 40°∠B + ∠C = 180°
2y + 120 = 180
2y = 180 - 120
2y = 60
y = 60 ÷ 2
y = 30°Answer:
x = 40°
y = 30°
Step-by-step explanation:
Given the diagram of a parallelogram, where:
∠A = 3x°, ∠B = 2y°, and ∠C = 120°
The given problem also requires us to find the values of x and y.
In reference to the Parallelogram Opposite Angles Theorem, where it states that: if a quadrilateral is a parallelogram, then it will have congruent opposite angles. In other words, ∠A ≅ ∠C , and ∠B ≅ ∠D.
Solve for x:Hence, we can establish the following equality statement to solve for the value of x:
m∠A = m∠C
3x° = 120°
Divide both sides by 3 to solve for x:
[tex]\displaystyle\mathsf{\frac{3x^{\circ}}{3}=\:\frac{120^{\circ}}{3}}[/tex]
x = 40°
Therefore, the value of x = 40°.
Solve for y:In order to solve for y, we must refer to the Parallelogram Consecutive Angles Theorem, where it states that if a quadrilateral is a parallelogram, then its consecutive angles are supplementary whose sum add up to 180°.
In the given diagram, ∠A and ∠D, ∠B and ∠C are consecutive angles.
We can establish the following equation to solve for the value of y:
m∠B + m∠C = 180°
2y° + 120° = 180°
Subtract 120° from both sides:
2y° + 120° - 120° = 180° - 120°
2y° = 60°
Divide both sides by 2 to solve for y:
[tex]\displaystyle\mathsf{\frac{2y^{\circ}}{2}=\:\frac{60^{\circ}}{2}}[/tex]
y = 30°
Therefore, the value of y = 30°.
At what values of x, does f(x) = 0?
A. 2
B. 8
C. -4
D. 0
E. -1
F. 4
Answer:
D : 0
Step-by-step explanation:
f(0) = 0
which is not a property of the sides of a rectangle?
Answer:
A rectangle doesn't have equal sides
Both sides are not equal
Parallel lines m and n are cut by the transversal line t prove <1 and <4 are supplementary move options to the boxes to complete the proof
2. A number 'a' is equal to the square of the number 'b' plus three times the
number'c
o Write a formula for 'a'
Answer:
a = b² + 3c
Step-by-step explanation:
The square of the number b is b² and 3 times c is 3c , then
a = b² + 3c
2.5 gallons of water are poured into 5 equally sized bottles. How much water is in each bottle?
Select all the equations that apply.
Group of answer choices
5÷2.5=?
2.5*?=5
5*?=2.5
2.5÷5=?
PLEASE ANSWER THIS ASAP THE ONES I GOT WRONG PLEASE TELL ME THE RIGHT ANSWER
Answer:
for line b - the slope is 0, not undefined. an undefined slope is a vertical line.
for line d - the slope is -1/3. slope is written rise over run, so just count the units that it goes down and how many it goes right. it goes down 1 and right 3, so it is -1/3.