9514 1404 393
Answer:
40 meters
Step-by-step explanation:
The ratio of width to length is 2/3, so the width of the floor is ...
width = (2/3)(12 m) = 8 m
The perimeter is found from ...
P = 2(L +W)
P = 2(12 m +8 m) = 40 m
The perimeter of the floor is 40 m.
_____
Additional comment
As above, the perimeter is twice the sum of length and width. In terms of ratio units, that is p = 2(3 +2) = 10. The length is 3 ratio units, so the perimeter is 10/3 times the length. (10/3)(12 m) = 40 m.
Here is the problem
Answer:
5 =x
Step-by-step explanation:
The top and the bottom are the same length
17 = 3x+2
Subtract 2 from each side
17-2 = 3x+2-2
15 =3x
Divide by 3
15/3 = 3x/3
5 =x
Answer:
x = 5
Step-by-step explanation:
3x + 2 = 17
3x + 2 - 2 = 17 - 2
3x = 15
3x ÷ 3 = 15 ÷ 3
x = 5
PLEASE HELP, I HAVE ONE WEEK OF SCHOOL!
9514 1404 393
Answer:
2. (b) 6 feet by 18 feet
3. -5, -1
Step-by-step explanation:
2. Perhaps the easiest way to answer this is to check to see what the areas are of the offered choices:
a) 7·19 = 133 . . . . numbers are odd, so the answer is odd, incorrect
b) 6·18 = 108 . . . . correct choice
c) 12·24 = 288
d) 5·17 = 85 . . . . again an odd number
__
If you were to solve this by factoring, you would be looking for factors of 108 that have a difference of 12.
108 = 1·108 = 2·54 = 3·36 = 4·27 = 6·18 = 9·12
The differences are 107, 52, 33, 23, 12, 3. The dimensions you want are 6 and 18 feet.
_____
3. Completing the square is easier if the quadratic has a leading coefficient of 1. Here, all of the coefficients are divisible by 2, so we can simplify this to ...
x^2 +6x = -5 . . . . . . divide both sides by 2
Now, we complete the square by adding the square of half the linear term coefficient.
x^2 +6x +9 = 4 . . . . add (6/2)^2 = 9 to both sides
(x +3)^2 = 4 . . . . . write as a square
x +3 = ±2 . . . . . . . take the square root
x = -3 ±2 = -5, -1 . . . . add -3 to both sides
The solutions are -5 and -1.
Can someone help me with 8,9 ??!!
Answer:
15 / 2437/52Step-by-step explanation:
8 .) Probability of students has no pets in senior = No. of outcomes favourable / Total no.of outcome
= 15 / 24
9.) Probability of students has pets in junior = No.of outcomes favourable / Total no. of outcomes
= 37/52
Please help. Confused on this questions.
Answer:
Step-by-step explanation:
The key here is to find out how long it will take Justin to triple his money, and then use that number of years in Hailey's equation. If Justin starts with $940, he will triple his money when he has $2820 (940*3). We need to find out how long it takes him to do this using the equation
[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex]where A(t) is the tripled amount of money, P is the initial investment, r is the interest rate in decimal form, n is the number of compoundings done per year, and t is the time in years. Filling in and solving for t:
[tex]2820=940(1+\frac{.07625}{12})^{12t[/tex] which simplifies a bit to
[tex]2820=940(1+.0063541667)^{12t[/tex] and a bit more to
[tex]2820=940(1.0063541667)^{12t[/tex] Begin to solve for t by dividing both sides by 940 to get:
[tex]3=(1.0063541667)^{12t[/tex] and then take the natural log of both sides to get the t alone eventually. Taking the natural log on the right side enables us to move the 12t down in front. So doing all of that at the same time:
[tex]ln3=12tln1.0063541667[/tex] and divide both sides by ln(1.0063541667):
[tex]173.4450855=12t[/tex] then finally divide both sides by 12 to get
t = 14.5 years. Now we use that number of years to find out how much Hailey will have.
[tex]A(t)=940(1+\frac{.0825}{4})^{(4)(14.5)}[/tex] which simplifies a bit to
[tex]A(t)=940(1+.020625)^{58[/tex] and a bit more to
[tex]A(t)=940(1.020625)^{58[/tex] and
A(t) = 940(3.26768151) so in 14.5 years, Hailey will have
A(t) = $3071.62
Under an insurance policy, a maximum of five claims may be filed per year by a policyholder. Let Pn be the probability that a policyholder files n claims during a given year, where n 0,1,2,3,4,5. An actuary makes the following observations:
i) Pn≥ 2pn+1 for n= 0, 1,2, 3,4
ii) The difference between pn and pn+1 is the same for n 0,1,2, 3,4
iii) Exactly 40% of policyholders file fewer than two claims during a given year Calculate the probability that a random policyholder will file more than three claims during a given year.
A) 0.14
B) 0.16
c) 0.27
D) 0.29
E) 0.33
Which of the following statements is true when regarding creating frequency tables for the following observationsa. ?
a. The sum of the frequencies will be equal to the total number of data points.
b. To calculate the number of classes it is best to divide the average number by 2.
c. To find the number of classes, you should split the data into two main classes first.
d. The lower limit will be 0 in this example.
Find the remainder when x³ - ax² + 6x - a is divided by x - a
Answer:
Solution is on pic hope it helps youEvaluate this piecewise function at x = -8 and x = 4.
Answer:
option D :
f(-8) = -2 ; f(4) = 3
Step-by-step explanation:
f(-8) = ³√-8 = -2
f(4) = 3 (the constant function)
English
v
Which table represents a linear function?
2
y
х
y
22
y
22
y
1
0
0
0
0
ol
1
هدايا
2
1
1
1
1
1
3
이
4
2
3
2
0
2
ا م ا
3
8
3.
6
3
1
3
7
Answer:
2 y x
Step-by-step explanation:
Ashley went to a baseball game the game started at 11:37 am and it was 3 hours 50 minutes long when did the game end
Answer: The game will end at 3:27 pm.
Step-by-step explanation: 50 minutes from 11:37 am is 12:27 pm, and 3 hours from 12:27 pm is 3:27 pm.
PLEASE HELP!!
WILL MARK BRAINLIEST!
What is the measure of arc AB?
Answer:
arc AB = 45°
Step-by-step explanation:
The central angle ABC is equal to the measure of the arc that subtends it, so
AB = ∠ ABC = 45°
Help!!!
I will mark you
Answer:
832.6lbs
Step-by-step explanation:
Prove that the following formulas are constants by two methods (set table and equivalent transformations) :
1 . ( m →(N v Q)) →((M→N) v (M→Q))
2.((T v U) → V) → (T → (U → V))
In analyzing a line graph, why is slope important?
a The slope should be negative,
C. The spacing for each axis must be chosen
so that the line reflects a positive slope,
b. The slope of the line reflects the actual d. The slope of a line is not important in
trend of the data,
analyzing a line graph,
Please select the best answer from the choices provided
B
O O O O
С
D
Mark this and retum
Save and Exit
Next
Submit
Answer:
The slope of the line reflects the actual d.
simplify: x0 y-3 / x2 y-1
[tex] \frac{x {}^{0}y {}^{ - 3} }{x {}^{2}y {}^{ - 1} } \\ = \frac{1y {}^{ - 3} }{ {x}^{2}y {}^{ - 1} } \\ = \frac{1 \times 1}{ {x}^{2} y {}^{2} } \\ \\ = \frac{1}{ {x}^{2}y {}^{2} } [/tex]
Step by Step Explanation:
Evaluate the power: Any non-zero expression raised to the power of 0 equals 1Simplify: Simplify the expressionCalculate the product: Any expression multiplied by 1 remains the same. ☆彡Hanna#CarryOnLearning
Pls help again thanks
Answer:
d.156.
x+24=180 ( being staright angle)
please help with this
Step-by-step explanation:
f(x) =x-1 and when we put 0 from x our answer is -1 and put 1 answer is 0 ........ for this f(x) must be x-1. g(x)= f(x)+ 4
A hot air balloon is cruising at an altitude of 120 meters above the ground when it begins its descent. The balloon descends at a rate of 4.5 meters per minute. Explain how you would set up an equation to model when the balloon will reach an altitude of 75 meters above the ground. Then solve the equation and check your solution.
Answer:
120 - 4.5t= 75
t = 10 minutes
Step-by-step explanation:
the equation :
120 - 4.5t= 75
the solution:
-4.5 t = 75-120
-4.5t = -45
t = -45/(-4.5) = 10 minutes
The equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.
Given that, a hot air balloon is cruising at an altitude of 120 meters above the ground when it begins its descent.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The balloon will reach an altitude of 75 meters above the ground.
Now, 120-75 =45 meters
Let t be the time to descends 45 meters
So, 120 - 4.5t= 75
⇒ -4.5 t = 75-120
⇒ -4.5t = -45
⇒ t = -45/(-4.5)
⇒ t = 10 minutes
Hence, the equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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Which of the following are interior angles in the figure below?
Answer:
A
Step-by-step explanation:
The others are exterior
simplify -2 minus square root of 15 over 2
Kim is 3 years older than marley. The sum of marleys age and twice Kims age is 63. Which equations can be used to determine marleys age?
Step-by-step explanation:
the answer is in the above image
pls help it'd be appreciated
Answer:
option A
Step-by-step explanation:
∠WPS +∠OPW = 180 {straight line}
∠WPS +110 = 180
∠WPS = 180 - 110
∠WPS = 70°
∠RWQ + ∠QWT +∠TWU = 180 {straight line}
∠RWQ + 60 + 50 = 180
∠RWQ + 110 = 180
∠RWQ = 180 - 110
∠RWQ= 70°
∠PWU + ∠USP + ∠ WPS = 180 {angle sum property of triangle}
∠PWU + 40 + 70 = 180
∠PWU + 110 = 180
∠PWU = 180 - 110
∠PWU = 70°
Answer:
A
Step-by-step explanation:
∠WPS +∠OPW = 180 (adj angles on a str line)
∠WPS +110 = 180
∠WPS = 180 - 110
= 70°
∠RWQ + ∠QWT +∠TWU = 180 (adj angles on a str line)
∠RWQ + 60 + 50 = 180
∠RWQ + 110 = 180
∠RWQ = 180 - 110
= 70°
∠PWU + ∠USP + ∠ WPS = 180 (adj angles on a str line)
∠PWU + 40 + 70 = 180
∠PWU + 110 = 180
∠PWU = 180 - 110
= 70°
solve the system of equations y=3x y=x^2-18
Answer:
Point Form:
(6,18), (-3,-9)
Equation Form:
x=6, y=18
x=-3, y=-9
Step-by-step explanation:
Solve for the first variable in the first equation, then substitute the result into the other equation.
Answer:
x=-3 , x=6
so
y=-9 or y=18
List all the factors of 9. The factors of 9, from least to greatest, are and
Answer:
1 9 3
Step-by-step explanation:
i think only this much
Answer:
1,3 and 9
As Nine is divisible by 1,3 and 9
3. Calculate the following- show all working out
a)7/8 of R60,00
Answer:
5250
Step-by-step explanation:
a. 7/8 of 60,00
a [tex]\frac{7}{8} * 60,00[/tex]
[tex]\frac{7*60,00}{8}[/tex]
[tex]\frac{42,000}{8}[/tex]
[tex]5250[/tex]
Please solve this..you have to find x
Answer:
x=41/4
Step-by-step explanation:
According to the Secant Theorem, a(a+b)=c(c+d)
Therefore, 3(3+4x+12)=2(2+8x), 12x+45=16x+4, x=41/4
Differentiate 5^x in respect to x
Given:
The term is [tex]5^x[/tex].
To find:
The differentiation of [tex]5^x[/tex] with respect to x.
Solution:
Formula used:
[tex]\dfrac{d}{dx}a^x=a^x\log(a)[/tex]
Let the given function is:
[tex]f(x)=5^x[/tex]
Here, a=5.
Differentiate the given function with respect to x.
[tex]f'(x)=5^x\log(5)[/tex]
Therefore, the derivative of [tex]5^x[/tex] with respect to x is [tex]5^x\log(5)[/tex].
What is the factored form of y=-2x^2-8x+0
Answer:
(2x-4()(x-2)
Step-by-step explanation:
this is how it looks when factorised
Answer:
y=-2x^2-8x
you can use a factor form helper and from that it can show you examples on how to solve it
a recent study showed that the average high school basketball team score 76 points a game with a standard deviation of 8.4 points. Find the probability that a random team scores less than 64 points
Answer: 0.0766
Step-by-step explanation:
Let x be the random team scores.
Given: Mean = 76
Standard deviation = 8.4
We assume that x follows normal distribution.
The probability that a random team scores less than 64 points = P(x<60)
[tex]=P(\frac{x-\mu}{\sigma}<\frac{64-76}{8.4})\\\\=P(z<-1.4286) \ \ \ [Z=\frac{x-\mu}{\sigma}]\\\\= 1-P(z<1.4286)\\\\=1-0.9234\\\\=0.0766[/tex]
Hence, the probability that a random team scores less than 64 points =0.0766
as central angle is to 360 degrees.Arc length is to
A.circumference
B.area
C.sector
D. Diameter
If central angle is 360° then Arc length is circumference.
What is the central angle of a Circle?
An angle with the circle's center as its vertex is referred to as a central angle. The radius refers to each side of the angle that extends outward from the center to a particular point on the circle.
What is circumference?A circle's perimeter is known as its circumference. It is the circumference of the circle as a whole. A circle's circumference is calculated by multiplying its diameter by the constant. This measurement of a circle's diameter is necessary for someone crossing a circular park or for enclosing a circle. The units for the circumference, which is a linear variable, are the same as those for length.
How to solve it?Since, when considering the circle's central angle we consider 360° which is the central angle of the whole circle.
So, when considering the arc length of a sector, we consider the arc length of the whole circle which is the circumference.
Learn more about circles here-
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