Answer:
The largest possible area of the deck is 87.11 m² with dimensions;
Width = 9.33 m
Breadth = 9.33 m
Step-by-step explanation:
The area of a given dimension increases as the dimension covers more equidistant dimension from the center, which gives the quadrilateral with largest dimension being that of a square
Given that the railings will be placed on three sides only and the third side will cornered or left open, such that the given length of railing can be shared into three rather than four to increase the area
The length of the given railing = 28 m
The sides of the formed square area by sharing the railing into three while the fourth side is left open are then equal to 28/3 each
The area of a square of side s = s²
The largest possible area of the deck = (28/3)² = 784/9 = 87.11 m² with dimensions;
Width = 28/3 m = 9.33 m
Breadth = 28/3 m = 9.33 m.
If the sin 60° is 3/2
then the cos___=___
Answer:
30, root 3 over 2 or the third option
I did it on my quiz :)
But basically it is 30, root 3 over 2 because sin and cos are complements to one another.
Trigonometric Identities are equalities that utilize trigonometry functions and hold true for all variables in the equation. The correct option is C; 30°, (√3)/2.
What are Trigonometric Identities?Trigonometric Identities are equalities that utilize trigonometry functions and hold true for all variables in the equation. There are several trigonometric identities relating to the side length and angle of a triangle.
Given that sin(60°) is (√3)/2. Therefore, the value of cos can be written as,
sin(60°) = (√3)/2
cos(90° - 60°) = (√3)/2 {Cos(90° - x) = Sin(x)}
cos 30° = (√3)/2
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two angles of a triangle measure 41 degrees and 44 degrees what is the measure of the third angle? A) 75 degrees B) 85 degrees C) 95 degrees D) 105 degrees
Answer:
95 degrees
Step-by-step explanation:
All triangles have an interior measure of 180 degrees
180-41-44=95
Answer:
95 degrees
Step-by-step explanation:
Here is a circle, centre O, and the tangent to the circle at the
point (8, 15) on the circle.
x
P (8, 15)
-17
O
17
Find an equation of the tangent at the point P.
Give your answer in the form y = ax + b where a and b are both
fractions with denominator 15.
Answer:
The equation of the tangent is [tex]y=-\frac{8}{15}x+\frac{289}{15}[/tex].
Step-by-step explanation:
Center = (0, 0). Point on the circle = (8, 15).
OP is a radius. The slope of the radius = [tex]\frac{15-0}{8-0}=\frac{15}{8}[/tex].
The tangent is perpendicular to the radius.
So, its slope is = [tex]-\frac{8}{15}[/tex].
The tangent passes through (8, 15).
So, the equation is:
[tex]y-15=-\frac{8}{15}\left(x-8\right)\\y-15=-\frac{8}{15}x+\frac{64}{15}\\y=-\frac{8}{15}x+\frac{289}{15}[/tex]
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Hi please help meeee
An experiment consists of tossing 3 coins at the same time.
1. Identify the sample space.
2. What is the probability of tossing 2 tails and 1 head?
3. Which is more likely to occur: tossing exactly 1 tail or tossing at least 2 heads? Explain.
Answer:
Step-by-step explanation:
The attachment will help you with your question:
What is the range of the linear parent function?
O A. All real numbers
B. Negative real numbers (y< 0)
C. Nonnegative real numbers (y=0)
D. Positive real numbers (y> 0)
Answer:
A. All real numbers
Step-by-step explanation:
We assume that the "linear parent function" is ...
y = x.
Its range is "all real numbers."
Answer:
all real numbers
Step-by-step explanation:
AP-EX
When a certain number is subtracted from 10 and the result is multiplied by 2, the final result is 4. Find the number.
Answer:
8
Step-by-step explanation:
10-8 x 2 = 4
2 x 2 = 4
4 = 4
The number is 8, which is when subtracted from 10 and the result is multiplied by 2, then the result is 4.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
Let the required number is x.
According to given condition,
When x is subtracted from 10 and the result is multiplied by 2, final result comes as 4.
Implies that,
2 (10 - x) = 4
10 - x = 2
x = 10 - 2
x = 8
The required number is 8.
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What are the values of the variables in the triangle below? If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
Answer:
x = 12y = 4√3Step-by-step explanation:
To find x we use cosine
cos∅ = adjacent / hypotenuse
x is the adjacent
8√3 is the hypotenuse
cos 30 = x / 8√3
x = 8√3 cos 30
x = 12To find y we use sine
sin∅ = opposite / hypotenuse
y is the opposite
8√3 is the hypotenuse
sin 30 = y / 8√3
y = 8√3 sin 30
y = 4√3Hope this helps you
Brian is solving the equation x squared minus three-fourths x = 5. What value must be added to both sides of the equation to make the left side a perfect-square trinomial?
Answer:
Term to add is (3/8)^2 = 9/64
Step-by-step explanation:
Here, we want to know the value that must be added to make the equation a perfect square.
x^2 - 3/4x = 5
x^2 -3/4x -(3/8)^2+ (3/8)^2 = 5
x^2 -3/4x + (3/8)^2 = 5 + (3/8)^2
= (x-3/8)^2 = 5 + (3/8)^2
So the term to add is (3/8)^2 = 9/64
Answer:
[tex]\dfrac{9}{64}[/tex]
Step-by-step explanation:
Given the equation: [tex]x^2-\frac{3}{4}x=5[/tex]
To make the left hand side of the equation a perfect trinomial, we follow these steps.
Step 1: Divide the coefficient of x by 2.
Coefficient of x [tex]=-\frac{3}{4}[/tex]
[tex]-\frac{3}{4} \div 2 =-\frac{3}{8}[/tex]
Step 2: Square your result from step 1
[tex]\implies (-\frac{3}{8})^2 \\=\dfrac{9}{64}[/tex]
Therefore, to make the Left-Hand side a perfect-square trinomial, we add 9/64.
A school creates a histogram representing the individual travel times for students riding the bus to school. The histogram is right-skewed, and the mean time is 25 minutes.
Which statement best describes the possible value of the median time of students riding the bus to school?
THIS IS THE COMPLETE QUESTION;
A school creates a histogram representing the individual travel times for students riding the bus to school. The histogram is right-skewed, and the mean time is 25 minutes.
Which statement best describes the possible value of the median time of students riding the bus to school?
The median time is less than 25 minutes.
The median time is exactly equal to 25 minutes.
The median time is approximately equal to 25 minutes.
The median time is greater than 25 minutes.
Answer;
The median time is less than 25 minutes
Step-by-step explanation
✓When the histogram is skewed right, it implies that the mean is greater than the median which means The median time is less than the mean.
This is as a result of few large values that drive as a result of skewed-right data
✓Skewness can be explained as measure of the asymmetry of a histogram When a histogram is symmetrical when it has a normal distribution, i.e when the same amount of data falls on both sides of the mean. Ahistogram has a normal distribution will have a skewness of 0.
✓the skewness can be explained in terms positive/right relationship:
√nonparametric skew implies that the mean is greater than the median, which means it is at the the right.
√A negative/left nonparametric skew can be explained as when the mean is < the median. I e it fall to the left .
Therefore, the median is less than 25 minutes
The statement that most adequately recounts the likely value of median time:
A). The median is less than 25 minutes.
What is the Median?Median is defined as the number that isolates the first and later half of a set of given distribution or number.
As per the question, the bend in the histogram towards the right side signals that the mean value is significantly higher than the median.
The cause behind this is that the greater values have caused this influence.
Hence, this implies that the median values are lesser by the time of 25 minutes.
Thus, option A is the correct answer.
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The options are missing in the question. They are provided as follows:
The median time is less than 25 minutes.
The median time is exactly equal to 25 minutes.
The median time is approximately equal to 25 minutes.
The median time is greater than 25 minutes.
How many sides does a regular polygon have if the measure of each exterior angle is 24°?
Answer: 15 sides
Step-by-step explanation: Because the sum of the outer angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equivalent outer angles and therefore 15 vertices and sides to the polygon
Answer: angle is 24 degrees meaning that a regular polygon has more than 6 sides hope this is helpful
Step-by-step explanation:
A True/False quiz has three questions. When guessing, the probability of getting a question correct is the same as the probability of getting a question wrong. What is the probability that a student that guesses gets at least 2 questions correct
Answer:
1/4 or 25% chance
Step-by-step explanation:
the probability of getting each question right is 1/2, so for getting 2 questions right its 1/2 × 1/2, which is 1/4
The probability that a student that guesses gets at least 2 questions correct is 1/4.
GivenThe probability of getting a question correct is the same as the probability of getting a question wrong.
The probability of getting the question is correct is;
[tex]= \dfrac{1}{2}[/tex]
The probability of getting the question is wrong is;
[tex]= \dfrac{1}{2}[/tex]
Therefore,
The probability that a student that guesses gets at least 2 questions correct is;
[tex]= \dfrac{1}{2} \times \dfrac{1}{2}\\\\= \dfrac{1}{4}[/tex]
Hence, the probability that a student that guesses gets at least 2 questions correct is 1/4.
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Pleas answer it in two minutes
Answer:
b=69 degrees
Step-by-step explanation
Use the remote interior angle theorem which states that the sum of the two remote interior angles is equal to the exterior angle. Basically, b=(b-36)+(b-33). That will give you b=2b-69. Then b=69. There's ur answer.
Tanya wants to order 50 pizzas for a party. However, the pizza supplier can deliver only 45 pizzas on the given date. How will you describe the relationship between demand and supply of pizzas? A. Demand is equal to supply. B. Demand is greater than supply. C. Demand is less than supply.
Answer:
B
Step-by-step explanation:
The demand is 50 and the supply is 45. Since 50 > 45 the answer is that the demand is greater than the supply.
Answer:
b
Step-by-step explanation:
5 meters.
The rectangle below has an area of x2 – 112 + 30 square meters and a length of x
What expression represents the width of the rectangle?
2 - 5
Width
22 – 110 + 30
Width
meters
Answer: The width is x-6
Step-by-step explanation:
To find the with factor out the area x^2 - 11x + 30
[tex]x^{2}[/tex] - 11x +30 to factor it find two numbers that multiply to get 30 and add up to get -11 . And that two numbers are -6 and -5 .
[tex]x^{2}[/tex] - 5x - 6x + 30 now group them
([tex]x^{2}[/tex] - 5x) (-6x+ 30) factor them out.
x(x - 5) - 6(x -5) Factor x-5 out
(x-5)(x-6) since the length is x-5 then the width is x-6.
Which of the following sets of numbers have the same mean, median, and mode?
10, 6, 4, 2, 8
3, 5, 8, 4, 5
5, 1, 2, 2,5
2.6, 8, 6, 3
Answer:
3, 5, 8, 4, 5
Step-by-step explanation:
The HCP prescribes methotrexate 7.5 mg PO weekly, in 3 divides doses for a child with rheumatoid arthritis whose body surface area (BSA) is 0.6 m2. The therapeutic dosage of methotrexate PO is 5 to 15 mg/m2/week. How many mg should the nurse administer in each of the three doses given weekly? (Enter the numeric value only. If round is required, round to the nearest tenth.)
Answer:
1.5mg
Step-by-step explanation:
From the question, we are told that the HCP prescribed 7.5 mg of PO weekly
The therapeutic dosage is given in the question as 5 - 15 mg/m² weekly.
The child's body surface area is given = 0.6m²
The mg of PO that the nurse should administer in each of the three doses given weekly is calculated as
7.5mg/ 5mg/m²
= 1.5 mg of PO
pleaseee help me w dis asap!!
Answer:
x=2 f(x)=5-x
o≤x≤3 f(x)=x
2＜x＜3 f(x)=1
3＜x≤5 f(x)=5-x
Step-by-step explanation:
The graph of the function f(x)=-(x+3)(x-1) is shown below. What is true about the domain and range of the function?
Answer:
The 3rd one is correct.
Step-by-step explanation:
Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2? On a coordinate plane, a line goes through points (negative 2, 0) and (0, 1). On a coordinate plane, a line goes through points (0, 2) and (4, 0). On a coordinate plane, a line goes through points (0, 2) and (2, 3). On a coordinate plane, a line goes through points (negative 4, 0) and (0, 2).
Answer:
the answer is: D
Step-by-step explanation:
did the test
A line connecting the coordinates (-4, 0), and (0, 2) on a coordinate plane will serve as the equation's representation in graph 4.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, a linear function that has a slope of 0.5 and a y-intercept of 2.
thus the equation of line as slope-intercept:
y = mx + c
y = 0.5x + c
Since Y-intercept is 2 thus line passes through (0, 2)
from the equation
2 = 0.5 * 0 + c
c = 2
Equation of the line:
y = 0.5x + 2
Therefore, On a coordinate plane, a line goes through points (negative 4, 0) and (0, 2) and graph 4 will represent the equation.
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What is the area of the shaded region? (Approximate π to be 3.14)
Answer:
about 113.04 square inches
Step-by-step explanation:
No angles are indicated, so we must assume the sector is 1/4 of the circle. Then its area is 1/4 of that of a circle with radius 12 in:
Circle area = πr²
Sector area = (1/4)π(12 in)² = 36π in²
Sector area ≈ 36(3.14) in² = 113.04 in²
make x subject of m =n + x/p
Answer:
[tex]x = p(m-n)[/tex]
Step-by-step explanation:
m = n + [tex]\frac{x}{p}[/tex]
Subtracting n to both sides
=> m-n = [tex]\frac{x}{p}[/tex]
Multiplying p to both sides
=> [tex]x = p(m-n)[/tex]
Answer:
x=p(m-n)
Step-by-step explanation:
m =n + x/p
x/p=m-n
x=p(m-n)
solve for x 42=7(x+5)
Answer:
42=7(x+5)
42=7x+35
42-35=7x
7=7x
X=7/7=1
solve 7+x÷3=2x-5 pls help me with this
Answer:
4.4
Step-by-step explanation:
Write the question out as an equation:
7+x/3 = 2x - 5
Rearrange , simplify and solve:
7+x = 3(2x-5) = 6x - 15
7+x = 6x-15
6x - 15 = 7+x
6x = 7+x+15 = 22+x
6x = 22+x
6x-x = 22
5x = 22
x = 4.4
hope this helps.
Good Luck.
Please Mark Brainiest
Answer:
Step-by-step explanation:
7+x/3=2x-5
taking 3 on the RHS
7+x=6x-15
22=5x
x=22/5
=4.4
Please Answer Now Identify the function’s vertical asymptotes. h(x)=x-4/x^2-4 x = 2 x = 4 x = -2, x = 2 x = -4, x = 4
Answer:
x = 2 and x = +2
Step-by-step explanation:
It's essential that you use parentheses to clarify what's happening here:
h(x)=x-4/x^2-4 => h(x)=(x-4) / (x^2-4)
We have vertical asymptotes at x values at which the denominator (x^2 - 4) is zero. That would be x = 2 and x = +2.
Simplify.
Rewrite the expression in the form b^n
(b^3)^2
Step-by-step explanation:
[tex]a^n={\underbrace{a\cdot a\cdot a\cdot...\cdot a}_{n}[/tex]
METHOD 1.[tex]\left(b^3\right)^2=\underbrace{b^3\cdot b^3}_{2}=\underbrace{b\cdot b\cdot b}_{3}\cdot\underbrace{b\cdot b\cdot b}_{3}=\underbrace{b\cdot b\cdot b\cdot b\cdot b\cdot b}_{6}=b^6[/tex]
METHOD 2.[tex]\left(b^3\right)^2=\underbrace{b^3\cdot b^3}_{2}=b^{3+3}=b^6\qquad\text{used}\ a^n\cdot a^m=a^{n+m}[/tex]
METHOD 3.[tex]\left(b^3\right)^2=\left(\underbrace{b\cdot b\cdot b}_{3}\right)^2=b^2\cdot b^2\cdot b^2=b^{2+2+2}=b^6\\\text{used}\ (ab)^n=a^nb^n,\ a^n\cdot a^m=a^{n+m}[/tex]
METHOD 4.[tex]\left(b^3\right)^2=b^{3\cdot2}=b^6\qquad\text{used}\ \left(a^n\right)^m=a^{nm}[/tex]
Find the probability of rolling a sum of 10 or a sum that is an odd number when two number cubes are rolled.
Answer:
7/12 chance
Step-by-step explanation:
(1 2 3 4 5 6)
(1 2 3 4 5 6)
All the possibilities:
(1, 1) (2, 1) (3, 1) (4, 1) (5, 1) (6, 1)
(1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2)
(1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6, 3)
(1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4)
(1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5)
(1, 6) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6)
There are 18 odd sums.
(1, 1) (2, 1) (3, 1) (4, 1) (5, 1) (6, 1)
(1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2)
(1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6, 3)
(1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4)
(1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5)
(1, 6) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6)
There are 3 possibilities whose sums add up to 10.
Since there are 36 total possibilities and 21 numbers that fit the rule of having an odd sum or a sum of 10. There is a 21/36 chance or simplified, 7/12 chance.
What is the range of the function y= 3 startroot x+8 endroot?
Answer:
First Option
Step-by-step explanation:
When we graph the expression, we should see that an infinite amount of y-values work. Since the domain comprises of all working x-values, we have (negative infinity, positive infinity) or all real numbers as our range, since we have an infinite amount of y-value outputs.
PLVHGCHVBJGUYFTDCGVHJGYUJH
Answer:
The correct option is (B).
Step-by-step explanation:
The conditional probability of an event, say A is the probability of that events (A) when it is known that another event, say X has already occurred.
For example, consider the experiment of drawing two marbles from jar consisting of 8 white and 2 red, without replacement. The probability of selecting a red marble after a white marble is known as conditional probability.
In this case it is provided that:
40% of the students are licensed drivers55% students are female.The statement:
"the probability that a student who is a licensed driver is a male"
Is a statement of conditional probability.
This is because it is known from previous information that the student is a licensed driver and we need to determine the probability of this student being a male.
Thus, the correct option is (B).
what is the simplified value of 1/3 divied by 2/3
Answer:
1/2 or 0.5
Step-by-step explanation:
1/3 divided by 2/3
1/3 times 3/2
3/6
1/2, or 0.5
Answer:
1/2
Step-by-step explanation:
1/3 ÷2/3= 1/3×3/2( this is because fractions cannot be divided and the reciprocal of the fraction by which 1/3 had to be divided has to be taken which makes 2/3 as 3/2 and division as multiplication)
so, 1/3×3/2 gives 3/6, when simplified, gives 1/2.
find 1st, 2nd, 3rd, 4th and 10th nTh term. rule is 3n+4
Answer:
When n is 1
3n+4
=3*1+4
=3+4
=7
When n is 2
3n+4
=3*2+4
=6+4
=10
When n is 3
3n+4
=3*3+4
=9+4
=13
When n is 4
3n +4
=3*4+4
=12+4
=16
When n is 10
3n+4
=3*10+4
=30+4
34