Answer:
[tex]\boxed {\boxed {\sf D. \ 30 \ feet}}[/tex]
Step-by-step explanation:
The area of a square is found by multiplying the base and the height, but since all the sides are equal, it is equal to multiplying a side by another side.
[tex]a=s*s[/tex]
[tex]a=s^2[/tex]
We know the square garden has an area of 900 square feet. We can substitute this value in for a.
[tex]900 \ ft^2=s^2[/tex]
Since we are solving for the side, we have to isolate the variable s. It is being squared. The inverse of a square is the square root, so we take the square root of both sides.
[tex]\sqrt {900 \ ft^2}= \sqrt{s^2}[/tex]
[tex]\sqrt {900 \ ft^2}=s \\[/tex]
[tex]30 \ ft=s[/tex]
One side of the garden is equal to 30 feet and choice D is correct.
Step-by-step explanation:
Area of square garden=a^2
ATQ
➝a^2=900 sq.feet
➝a=√900
➝a=30feets
Correct option-DFind the new number given the Original number and the percent of change
Answer:
72
Step-by-step explanation:
Multiply the original number by 60 and divide it by 100 to find the percent change
120 * 60 / 100 = 72
Find the x-intercept and y-intercept
from the following linear equation:
12x + 30y = 180
x - intercept = ()
y - intercept ()_
Answer:
x - intercept = (15, 0)
y - intercept = (0, 6)
Step-by-step explanation:
x-int. is when y = 0
y-int. is when x=0
Plug in y = 0 and x = 0 to get intercepts.
FOR X-INT.:
12x + 30(0) = 180
12x = 180
x = 15
x-int. is (15, 0)
FOR Y-INT. :
12(0) + 30y = 180
30y = 180
y = 6
y-int. is (0, 6)
The length of the base of an isosceles triangle is x. The length of a leg is 5x -2. The perimeter of the triangle is 106. Find x. X =
Answer:
x = 10
Step-by-step explanation:
the legs of an isosceles triangle are congruent.
the perimeter is the sum of the 3 sides of the triangle
sum the 3 sides and equate to 106
x + 5x - 2 + 5x - 2 = 106
11x - 4 = 106 ( add 4 to both sides )
11x = 110 ( divide both sides by 11 )
x = 10
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer: d
cause it says its the same
Step-by-step explanation:
Jackson is going to invest $33,000 and leave it in an account for 20 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Jackson to end up with $133,000?
Answer:
Rate = 7.0% per year
Step-by-step explanation:
Formula: rate = In(A/P)/t
I = interest
n = compound, in this case continuous
A = Total amount ($133,000)
P = Principal ($33,000)
t = time (20 years)
Plug in the values and solve:
rate = In(133000/33000)/20
rate = 0.06969
Convert to percentage:
rate = 6.969%
Round to the nearest tenth of a percent:
rate = 7.0%
What is a dual of a formula?
The dual formula is a formula which we get when we replace the symbol ∨ by ∧ , ∧ by ∨ , T by F or F by T.
Basically , we can say that it is obtained by replacing tautology by contradiction.
There are certain rules which are to be followed while applying dual formula which are,
Some symbols, example ¬ remains the same while finding dual.If we will find the dual of a dual we will get the original statement.T (tautology) and F (contradiction) are duals of each other.T is changed to F and vice-versa.S1 is a tautology if and only if S2 is a contradiction.
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What is the angle between the lines 2x 3y =- Z and 6x =- Y =- 4z?
90° is the angle between the lines 2x = 3y = -z and 6x = -y = -2z and explained with directions of ratios as below
Direction ratios of line 2x = 3y = -z which can be mentioned as [tex]\frac{x}{1/2} = \frac{y}{1/3} = \frac{z}{-1}[/tex] hence [tex](\frac{1}{2} , \frac{1}{3} ,-1 )[/tex]
Direction ratios of line 6x = -y = -2z which can be mentioned as
[tex]\frac{x}{1/6} = \frac{y}{-1} =\frac{z}{-1/4}[/tex] hence [tex](\frac{1}{6} , -1 , \frac{-1}{4} )[/tex]
hence the dot product of the direction ratio of two line is
[tex]\frac{1}{2} .\frac{1}{6} + \frac{1}{3} . (-1) + (-1) . \frac{-1}{4}[/tex]
= [tex]\frac{1}{12} -\frac{1}{3} + \frac{1}{4}[/tex]
= 0
hence this shows that angle between the given equations is 90°
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3. 2 Roulette wheel: The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2
green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance
of capturing the ball.
a) You watch a roulette wheel spin 9 consecutive times and the ball lands on a red slot each time. What is
the probability that the ball will land on a red slot on the next spin?
(please round to four decimal places)
b) You watch a roulette wheel spin 320 consecutive times and the ball lands on a red slot each time. What
is the probability that the ball will land on a red slot on the next spin?
x (please
round to four decimal places)
The probabilities for the game of roulette that involves spinning a wheel with 38 slots, for a and b, are 0.4737, or 18/38, or 47.37%.
The following are the rationales:
(a) The probability of the ball landing on a red slot on any given spin is 18/38, or 0.4737, or 47.37%. This probability does not change based on the outcome of previous spins, as each spin is independent of the others and the probability of landing on a red slot is always the same. So, the probability of the ball landing on a red slot on the next spin is also 18/38, or 0.4737, or 47.37%.(b) The probability of the ball landing on a red slot on any given spin is 18/38, or 0.4737, or 47.37%. This probability does not change based on the outcome of previous spins, as each spin is independent of the others and the probability of landing on a red slot is always the same. So, even though the ball has landed on a red slot 300 consecutive times, the probability of the ball landing on a red slot on the next spin is still 18/38, or 0.4737, or 47.37%Learn more about probability here: brainly.com/question/25839839
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At an archeological site, the remains of two ancient step pyramids are congruent . If ABCD cong EFGH find each of the following . (Diagrams are to scale. )
The measurements are found using congruency.
What does congruency mean?
Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
It is given that ABCD ≅ EFGH :
According to congruency,
22. AD = EH, so AD = 335 ft.
23. GH= CD, so GH = 45ft.
24. m∠GHE = m∠CDA, so m∠GHE= 52°
25. m∠BAD= m∠FEH, so m∠BAD= 52°
26. EF= AB, so EF= 45ft
27. BC= FG, so BC= 280ft
28. m∠DCB= m∠HGF, so m∠DCB= 128°
29. m∠EFG= m∠ABC, so m∠EFG= 128°
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For the given logistic function,
21
f(x) = 1 + 2(0.94)*
The y-intercept = (0, [?])
For x ≥ 0, the horizontal asymptote is y =
Answer:
x) = 1 + 2(0.94)*
The y-intercept = (0, [?])
For x ≥ 0, the horizontal as
Maria believes that she will get a 1 hit in 10% of her softball games, 2 hits in 30% of her games, 3 hits in 55% of her games, and 4 hits in 5% of her games. About how many hits can Maria expect to have each game
According to the probability or likelihood , Maria can expect 2 hits in the game.
What person founded probability?Blaise Pascal and Pierre de Fermat are recognized as the fathers of probability because they laid the foundation for the field by thinking through a gambling issue posed by Chevalier de Mere in 1654.
[tex]E(X)=x.P(X=x)[/tex]
Given,
[tex]P(X=1)=0.20\\P(X=2)=0.25\\P(X=3)=0.50\\P(X=4)=0.05\\[/tex]
putting in formula,
[tex]E(X) = (1*0.20)+(2*0.25)+(3*0.50)+(4*0.05)=2.4[/tex]
As the number can not be fraction, hence number of hit will be 2.
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someone pls help me what is the equation for this graph pls help me and get it right pls :)
Answer:
y= -1/5x
Step-by-step explanation:
hope this helps :)
Which one of these is correct? Could you explain
how to work out 109 divided by 200?
Answer:
0.545 your welcome :D
Step-by-step explanation:
109÷200
Answer: 0.545
I just searched it up...... ya welcome homie
Step-by-step explanation:
search it "109 divided by 200" you'll get ur answer
Select the correct answer. how many particles are in one mole?
a. 6.022 × 1023
b. 2.066 × 1023
c. 6.023 × 1022
d. 3.026 × 1022
6.022× [tex]10^2^3.[/tex]particles are in one mole.
The correct option is 6.022× [tex]10^2^3.[/tex]
Now, According to the question:
Avogadro's number
Avogadro's number, number of units in one mole of any substance (defined as its molecular weight in grams), equal to 6.02214076 × [tex]10^2^3.[/tex] The units may be electrons, atoms, ions, or molecules, depending on the nature of the substance and the character of the reaction.
Now, According to Avogadro's law, one mole of any substance contains a fixed number of particles i.e.,6.022× [tex]10^2^3.[/tex]particles (atoms, molecules or ions) which is also known by the name Avogadro's number.
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another oneeee T-T please help
Answer:
d=90* e=54* f=126*
Step-by-step explanation:
plz crown
Answer:
d = 90
e = 54
f = 126
Step-by-step explanation:
Have a nice day!
How do you draw an acute angled isosceles triangle?
Answer:
To draw an isosceles acute triangle, the first step is to draw a line segment horizontally which will be the base of the triangle.
Step-by-step explanation:
Now, draw two angles of equal measurements (each should be less than 90 degrees) on both the ends of the line segment. Join the arms of the angles. In this way, we will get an acute isosceles triangle.
Please help me asap!!
Answer:
I can’t seem to see it properly
Step-by-step explanation:
How many liters are in a gallon and why
Answer:
There are 4 liters- in a gallon. Why? Well because for a gallon to be completely filled you need 4 liters, nothing less, and nothing more.
Answer: 3
beacuse 1 gallon is=3 liters easy i dont know why but i learn it in 4 grade
what is the area and perimeter of 29 yd and 72 yd
Answer:
Area: 2,088 Perimeter: 202
Step-by-step explanation:
Since it's a rectangle, both small sides are going to be the same, and both long sides are going to be the same. So for perimeter add up 29+72+29+72 to equal 202. For area you just multiply 29 times 72:)
please help me I only have 2 minutes left winner gets brainliest when did Qin Shi Huang become ruler
Answer: 221 B.C
Step-by-step explanation:
Answer:
221 B.C.
Step-by-step explanation:
The state of Qin, based in the Sichuan plains, eventually won out in 221 B.C. under the leadership of the ruthless King Zheng. The victorious monarch gave himself the title Qin Shi Huangdi (259–210 B.C.), First Qin Emperor.Jun 3, 2019
Zoe i aving up to buy a new bicycle. She already ha $80 and can ave an additional $6 per week uing money from her after chool job. How much total money would Zoe have after 6 week of aving? Alo, write an expreion that repreent the amount of money Zoe would have aved in ww week
If Zoe already has $80 and can save an additional $6 per week using money from her after school job then the total amount of money that Zoe saved after 6 week of saving is $116 and
the expression that represent amount of money Zoe would have saved in w weeks is [tex]80+6w[/tex] .
The amount that Zoe already saved = $80 ;
the amount that she can additionally save is = $6 per week ,
the amount of money that can be saved after 6 weeks can be written as :
[tex]Amount = \$80+(Amount Saved Per Week)\times(Number Of Weeks)[/tex]
Amount = [tex]80+6\times6[/tex]
= [tex]80+36[/tex]
= $116
and the expression for w weeks will be = [tex]80+6\times w[/tex]
The expression is ⇒ [tex]Amount = 80+6w[/tex].
The given question is incomplete , the complete question is
Zoe is saving up to buy a new bicycle. She already has $80 and can save an additional $6 per week using money from her after school job. How much total money would Zoe have after 6 week of saving ?
Also, write an expression that represent the amount of money Zoe would have saved in w weeks ?
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Find the surface area, volume, and radius and select all the correct measurements,
Answer:
surface area ---> i
volume ---> b
radius ---> d
Step-by-step explanation:
surface area= 4πr² =4x3.14x14²=2461.76cm²
volume= (4÷3)πr³= (4÷3)x3.14x14³=11488.21cm³
radius = half the diameter = 14cm
A chef at a restaurant uses 13 pounds of butter each day.About how many grams of butter does the chef use each day us 16ounces/1pound 28.4grams/1ounce
Answer:
5907.2 grams
Step-by-step explanation:
16 x 28.4 x 13 = 5907.2grams
Index form of 2m⁴-3m²+7
Answer:
2m⁴ +0m³ -3m² +0m +7
Step-by-step explanation:
You want the index form of 2m⁴-3m²+7.
Index formThe index form of a polynomial has terms with all indices present in decreasing order, using 0 coefficients where necessary.
The given polynomial is missing indices 3 and 1, so we add those with coefficients of 0:
2m⁴ +0m³ -3m² +0m +7
Find the perimeter of the rectangle
A. 46
B. 136
C. 23
D. 25
Answer:
A.46
Step-by-step explanation:
rectangle divided in two by the diagonal, we find the missing side (x) with Pythagoras
x² = 17² - 8²
x² = 289 - 64
x² = 225
x = √225
x = 15in
now we have all the sides and we add them to find the perimeter8 + 15 + 8 + 15 =
46in
write an equation that represents the relationship between x and y shown in the table
An equation that represents the relationship between x and y shown in the table is y = 1.5x.
How to write an equation?In order to write an equation that represents the relationship between x and y shown in the table, we would have to find the slope from the table and then write the required equation based on the data points by using the point-slope form.
Mathematically, the point-slope form of a line is given by this mathematical equation:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.By substituting the given parameters into the point-slope formula, an equation for the data points contained in this table is given by;
y - y₁ = m(x - x₁)
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 21 = (96 - 21)/(64 - 14)(x - 14)
y - 21 = 75/50(x - 14)
y - 21 = 1.5(x - 14)
y = 1.5x - 21 + 21
y = 1.5x
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In ΔSTU, = 670 inche, u = 630 inche and ∠U=67°. Find all poible value of ∠S, to the nearet degree
The measure of ∠S is 59.4° for trignometric identities
What are trigonometric identities?
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
ΔSTU:
s = 50 inches
t = 58 inches
u = 630 inches
Applying the cosines rule on ΔSTU.
s² = t² + u² - 2 x t x u x cos S
cos S = (t² + u² - s²) / 2tu
cos S = (58² + 27² - 50²) / (2 x 58 x 27)
cos S = (3364 + 729 - 2500) / 3132
cos S = 0.5086.
∠S = (0.5086)
∠S = 59.4°
Thus,
∠s angle value is 59.4°.
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hello please help i’ll give brainliest
Answer:
Papyrus
Step-by-step explanation:
the one that's not right is the 3rd one
Answer the picture pls
Answer:
The second one!! :)
Step-by-step explanation:
Answer:
2nd one
Step-by-step explanation:
pls mark me a brainliest