The amount of the galleys or the number of galleys.
If given the amount of galleons, you can find the amount of galleys by dividing the number of given galleons by 5.
If given the amount of galleys, you can find the amount of galleons by multiplying the number of given galleys by 5.
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Can someone help solve both of these? ASAP
Question 4
[tex]\sin 30^{\circ}=\frac{y}{14\sqrt{3}}\\\\\frac{1}{2}=\frac{y}{14\sqrt{3}}\\\\\boxed{y=7\sqrt{3}}\\\\\\\\\cos 30^{\circ}=\frac{x}{14\sqrt{3}}\\\\\frac{\sqrt{3}}{2}=\frac{x}{14\sqrt{3}}\\\\\boxed{x=21}[/tex]
Question 5
[tex]\cos 45^{\circ}=\frac{x}{28}\\\\\frac{1}{\sqrt{2}}=\frac{x}{28}\\\\x=\frac{28}{\sqrt{2}}\\\\\boxed{x=14\sqrt{2}}\\\\\\\\\sin 45^{\circ}=\frac{y}{28}\\\\\frac{1}{\sqrt{2}}=\frac{y}{28}\\\\y=\frac{28}{\sqrt{2}}\\\\\boxed{y=14\sqrt{2}}[/tex]
A lifeguard sitting in a tower 10ft off the ground spots swimmer in trouble at a 55 angle of depression. If the lifeguard tosses a ring in a 15ft rope to the swimmer, can the ring reach the swimmer? Finish solving the problem below to determine your answer
Based on the given parameters, the 15 ft rope will reach the swimmer
How to determine if the ring reach the swimmer?From the question, we have the following equation:
sin 55 = 10/x
Multiply both sides of the equation by x
x * sin 55 = 10/x * x
Evaluate the product
x * sin 55 = 10
Divide both sides by sin 55
x = 10/sin 55
Evaluate sin 55
x = 10/0.8192
Evaluate the quotient
x = 12.21
From the question, the lifeguard tosses a ring in a 15ft rope to the swimmer
15 is greater than 12.21
This means that the 15 ft rope will reach the swimmer
Hence, the 15 ft rope will reach the swimmer
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Angle G is a circumscribed angle of circle E. Major arc FD measures 280°.
Circle E is shown. Line segments F E and D E are radii. A line is drawn to connect points F and D. Tangents F G and D G intersect at point G outside of the circle. Major arc F D measures 280 degrees.
What is the measure of angle GFD?
40°
50°
80°
90
The measure of angle GFD of the circumscribed circle is; A: 40°
How to find the measure of angle of a circumscribed circle?From the figure, we can apply the arc angles summation formula to get;
Major angle ∠FED + Minor angle ∠FED = 360°
We are given that Major arc FD measures 280°. Thus;
280° + Minor angle ∠FED = 360°
Minor angle ∠FED = 360° - 280°
Minor angle ∠FED = 80°
Also, we know that;
∠FED + ∠FGD = 180°
Thus, putting ∠FED = 80° gives us;
80° + ∠FGD = 180°
Subtract 80° from both sides using subtraction property of equality to get;
∠FGD = 180° - 80°
∠FGD = 100°
Now, GF and GD are the tangents to the circle from the same point G. Thus, we can say that;
GD = GF
Therefore,
∠FDG = ∠GFD = x
(This is because ∠FDG and ∠GFD are the angles opposite to equal sides.
In triangle FGD, we have sum of interior angles = 180°
Therefore, we have the expression;
∠FDG + ∠FGD + ∠GFD = 180° (due to the fact that sum of angles in a triangle is equal to 180°)
x + 100° + x = 180°
2x = 180° - 100°
2x = 80°
x = 40°
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Answer:
40
Step-by-step explanation:
I did a thing and it worked
Im one paragraph, summarize the purpose of the graphic and its key findings
The purpose of the graphic is to show the relationship between different educational qualifications and unemployment rate.
What is Unemployment?This is a situation in which employable individuals look for jobs and are unable to find one.
The key findings in this graphic is that the higher the level of education, the lesser the unemployment rate.
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Order the numbers from least to greatest.
Help please….
Answer:
1/2=20/40 19/20=38/40
Step-by-step explanation:
so the first option
Change y = − 3x² + 36x - 73 to standard form, y = a (x - h)² + k.
The standard form of the given equation is: y = -3(x-6)²+35.
In mathematics, the most typical way to represent a specific element is called standard form.
A standard form is a way to express a particular mathematical idea, such as an equation, number, or expression, in prose that adheres to a set of criteria.
Given equation is: y = − 3x² + 36x - 73
In order to convert to the standard form,
y+73 = −3x² +36x
Subtract 108 from both the sides,
y+73-108 = −3x² +36x-108
y-35 = -3(x² -12x+36)
y-35 = -3(x-6)²
y = -3(x-6)²+35
This is the required standard form, corresponding to the given equation.
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The sunshade on one set of equipment has a square base of 120 cm and a height of 50 cm. The
sunshades are open-bottomed square based pyramids. This means that the base is not included.
a. Determine the total surface area, in m², of the sunshade.
The total surface area, in m², of the sunshade is 0.4344 m²
How to calculate surface area of a squared pyramid ?A pyramid can have a squared base, rectangular base or other polygons. The formula we can to find the total surface area of a squared pyramid is
Surface Area = P x l/2
Where
P = base parameterl = slant heightGiven that a sunshade on one set of equipment has a square base of 120 cm and a height of 50 cm. That means that the length L of the base will be 120 cm and half of it will be 60 cm
To find the slant height l, we will use Pythagoras theorem.
[tex]l^{2}[/tex] = 60² + 50²
[tex]l^{2}[/tex] = 3600 + 2500
[tex]l^{2}[/tex] = 6100
l = √6100
l = 78.1 cm
convert it to meter
l = 78.1/100
l = 0.781 m
The perimeter P of the base = 4 x 120/100 = 4.80 m
The Surface Area = P x l/2
Substitute all the necessary parameters into the formula
Surface Area = 4.80 x 0.781/2
Surface Area = 1.8744 m²
If the sunshades are open-bottomed square based pyramids, this means that the base is not included. That is, the area of the base should be taken away from the answer above.
Area of the base = 120/100 x 120/100 = 1.44 m²
The total surface area, in m², of the sunshade will 1.8744 - 1.44
The total surface = 0.4344 m²
Therefore, the total surface area, in m², of the sunshade is 0.4344 m²
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how much more did lan deposit each week than Jeremy?
Question 12
From the given graph, use two points to write an equation in point-
slope form and then change to slope-intercept form.
Step 1: Use the two points to find the slope.
Step 2: Use the slope and one point to complete point-slope form.
y-y₁ = m(x-x₁)
Step 3: Change point-slope form into slope intercept form by solving
for y. Show your work!
y=mx+b
Which equation describes this graph?
A. y=−2x
B. y=−2x−3
C. y=−2x+3
D. y=−3x−3
Answer:
D
Step-by-step explanation:
if you look the point on the y axis is -3 which is your starting point
in y=mx+b m is the slope
What is the focus of a parabola with a standard form of y = 1/4x^2 - x - 1?
Include an explicit reasoning, just giving an answer won’t be helpful
Answer:
(2, -1).
Step-by-step explanation:
y = 1/4x^2 - x - 1
First convert to vertex form:
y = 1/4(x^2 - 4x) - 1
y = 1/4[(x - 2)^2 - 4] - 1
y = 1/4(x - 2)^2 - 2
The formula for the focus of the parabola y = a(x - h)^2 + k is (h, k+1/4a)
So here it is:
(2, -2+1/ 4*1/4)
= (2, -1).
2. Rotate the following points 180°.
a.) B(-2,-5) →B'( )
b.) B(-4,1) B'( )
c.) In the graphs above connect the pre-image point B to the origin. Then connect
the origin to the image point B. What angle has been formed?
Answer:
hi helo bol ke gatu jama gol ke
ASAAP PLEASE PLEASEPLEASE PLEASE
2b^3 -5 b^2 +b+2. R 9/ b-4
Use synthetic division
3. Assume that the likelihood of a child under the age of ten watching PBS is 0.76. Three children are
chosen at random. Use the binomial formula to calculate the following probabilities: (You must show
your work and round the solution to the nearest thousandths place.)
a. exactly two children will watch PBS
b. at most two children will watch PBS
C. at least 2 children will watch PBS
Using the binomial distribution, the probabilities are given as follows:
a) 0.4159 = 41.59%.
b) 0.5610 = 56.10%.
c) 0.8549 = 85.49%.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.For this problem, the values of the parameters are:
n = 3, p = 0.76.
Item a:
The probability is P(X = 2), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{3,2}.(0.76)^{2}.(0.24)^{1} = 0.4159[/tex]
Item b:
The probability is P(X < 3), hence:
P(X < 3) = 1 - P(X = 3)
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.76)^{3}.(0.24)^{0} = 0.4390[/tex]
Then:
P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.
Item c:
The probability is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4159 + 0.4390 = 0.8549[/tex]
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Which of the following is equal to the fraction below ?
(answers are in the picture)
PLEASE HELP VERY URGENT Let p represent "Two angles have the same measure," and let q represent "The angles are congruent."
Which symbolic statement represents the following conditional: "If two angles are not congruent,
then they have the same measure"?
answer choices:
~q->p
p->q
q->p
q->~p
The symbolic representation for the given statement " If two angles are not congruent, then they have the same measure" is ~q → p. So, option A is correct.
How a conditional statement is represented?The conditional statement consists of a hypothesis sentence and a conclusion statement. A conditional statement can be written as " If p then q" where p is called the hypothesis and q is called the conclusion.The statement "If p then q" - means q must be true whenever p is true.Calculation:It is given that,
p - "Two angles have the same measure"
q - "The angles are congruent"
Statement: " If two angles are not congruent, then they have the same measure"
So, symbolically it is written as,
The hypothesis "two angles are not congruent" is represented by ~q and the conclusion "they have the same measure" is represented by p.
That is,
The representation is "If ~q then p i.e., ~q → p. So, option A is correct".
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ABCD is a square.
Square A B C D is shown. A diagonal is drawn from point A to point C. The measure of angle B A C is question mark.
What is the measure of angle BAC?
30°
45°
60°
90°
Since ABCD is a square, and AC is the diagonal of the square, therefore, then, angle BAC would be Option B. 45°
What is square?A square is known as a quadrilateral with four interior angles of 90° each, and four equal sides.
Properties of a square include
The interior angles are equal to 90°All the sides are congruent or equal The opposite sides are parallel The diagonals of the square bisect each other at 90 degreesThe two diagonals are equalAngle BAC is half the angle of the diagonal
= 90/2 = 45°
Thus, since ABCD is a square, and AC is the diagonal of the square, therefore, then, angle BAC would be Option B. 45°
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Pls send proper answer , urgent
A steel mill manufactures steel plates. The average number of flaws in the steel is 1.28 flaws per square foot. Find the probability that a randomly selected 1-foot-by-1-foot area of steel plate has 2 flaws or fewer. Use Excel to find the probability. Round your answer to three decimal places.
Using excel, we can determine that the likelihood that a randomly picked steel plate measuring 1 foot by 1 foot contains two or fewer faults is 0.862.
This is further explained below.
What is probability?Generally, the characteristic or condition of being probable; the degree to which something is likely to occur or be the case. the likelihood of anything happening or something is the case.
In conclusion, In this section, we will make the assumption that the number of defects found in a steel plate measuring 1 foot by 1 foot has a Poisson distribution with a mean of 1.28.
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The taxi fare for the first two miles is $5 and for each additional mile the fare increases by $ 2. What is the taxi fare for a journey of n miles in dollars?
The taxi fare for a journey of n miles in dollars is 1 + 2n
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the equation of the system?The given parameters about the taxi fares are given as
First two miles = $5
Additional mile = Increment of $2
Let the number of miles be n
So, we have:
2 miles = $5
Additional miles = (n - 2) * 2
Add the above expressions
5 + (n - 2)* 2
Represent the value with f(n)
So, we have:
f(n) = 5 + (n - 2)* 2
Expand the bracket
f(n) = 5 + 2n - 4
Collect the like terms
f(n) = 5 - 4+ 2n
Evaluate the like terns
f(n) = 1 + 2n
Hence, the taxi fare for a journey of n miles in dollars is 1 + 2n
So, the complete parameters are:
First two miles = $5
Additional mile = Increment of $2
n miles 1 + 2n
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We want the following inequality to be
true:
|x| < 9
Which of the following are possible
values for x?
Choose all answers that apply:
A
B
x = -10
x = 7
x = 13
Answer:
x = 7
Step-by-step explanation:
The integer values of x that satisfy |x| < 9 are ...
{-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7. 8}
Of these values, the only one listed as an answer choice is ...
x = 7
__
Additional comment
The expression |x| means "the absolute value of x". It is the value of x with the sign made positive. That is |-10| = 10, a number greater than 9. Of course, |13| = 13, also a number greater than 9.
Determine the value of x that would make quadrilateral lmno a parallelogram. 3 9 11 18
The correct answer is x = 9
What is a parallelogram in math?
A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal). A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.Diagonals of a parallelogram bisect each other.
For quadrilateral LMNO to be a parallelogram, LP must equal PN, and OP must equal PM.
Set OP equal to PM and solve for x.
PM = OP
3x - 9 = 18
Add 9 to both sides.
3x = 27
Divide both sides by 3.
x = 9
Therefore, the value of x = 9
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The complete question is -
Determine the value of x that would make quadrilateral LMNO a parallelogram.
3
9
11
18
Answer: x=9
Step-by-step explanation:
How many palindromes greater than 10000 and less than 100000 are multiples of 18?
Let [tex]n=abcba[/tex] be such a number. If 18 divides [tex]n[/tex], then both 2 and 9 divide [tex]n[/tex].
To be divisible by 2, we must have [tex]a\in\{2,4,6,8\}[/tex]. Meanwhile we can have [tex](b,c)\in\{0,1,2,\ldots,9\}^2[/tex].
To be divisible by 9, we the sum of the digits of [tex]n[/tex] must itself be divisible by 9, or
[tex]2a+2b+c=9k[/tex]
for some integer [tex]k[/tex].
The largest value of [tex]2a+2b+c[/tex] is 2•8 + 2•9 + 9 = 43, so we must have [tex]k\in\{1,2,3,4\}[/tex].
I'm not sure what the best way to get the final count may be, but there are 44 such numbers. It's rather tedious to do by hand.
• If [tex]k=1[/tex], then [tex]2a+2b+c=9[/tex], and we can do this in 4 ways.
For example,
2•2 + 2•0 + 5 = 9 [tex](n = 20502)[/tex]
• If [tex]k=2[/tex], then [tex]2a+2b+c=18[/tex] and can be done in 16 ways.
2•2 + 2•3 + 8 = 18 [tex](n = 23832)[/tex]
• If [tex]k=3[/tex], then [tex]2a+2b+c=27[/tex] and can be done in 18 ways.
2•2 + 2•7 + 9 = 27 [tex](n = 27972)[/tex]
• If [tex]k=4[/tex], then [tex]2a+2b+c=36[/tex] and can be done in 6 ways.
2•6 + 2•8 + 8 = 36 [tex](n = 68886)[/tex]
From Andys house to Billys hometown you can travel by 3 roads. And to get from Billys hometown to Willies's house you can travel by 5 roads. How many possible wats are there to travel from andys house to willies house?
Using the Fundamental Counting Theorem, there are 15 ways to travel from Andy's house to Willie's house.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
For this problem, the parameters are:
[tex]n_1 = 3, n_2 = 5[/tex].
Hence the number of ways is:
N = 3 x 5 = 15.
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Which of the following expressions has a product of 36?
A. (-3)(12)
B. (-6)(-6)
C. 2(-18)
D. 4 · 8
Answer:
B. (-6)(-6)
Step-by-step explanation:
- X - = +
and 6 x 6 = 36.
This Stem-and-Leaf Plot represents test scores of students in a math class. If two test scores, 68 and 75, are added to the data, which statement will be true?
A. The median will change; the mode will stay the same.
B. The mode will change; the median will stay the same.
C. The median and the mode will both change.
D. The median and the mode will stay the same.
The median will change; the mode will stay the same.
Will the median and mode change?The median is the number that is at the center of a data set when the data are arranged either in ascending or descending order.
Median = 23
When 68 and 75 are added, the median would change.
Mode refers to a value that appears most frequently in a data set.
The mode = 75
So, when 75 is added, the mode does not change.
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2. (01.01)
Evaluate 32+(5-2)-4-
O 19
O 16
O 46
24
3
. (1 point)
An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers.
"An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers."
The general form an arithmetic sequence is:
[tex]a_{n} = a_{1} + (n- 1) d[/tex]
The function is linear. The sequence consists of either numbers that are increasing or decreasing based on the value of d, the common difference.So, the statement provided is True.
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Please Help and Explain
Answer:
Step-by-step explanation:
add 4 more rows like in the pattern and you will get your answer
Answer:
36 squares.
Step-by-step explanation:
Number of squares in each step is triangular number. This form a triangular series.
1 , 3 , 6 , 10........
Number of squares in each step is given by
[tex]\sf \dfrac{n*(n+1)}{2}[/tex] here , n is the step or term.
n = 8
[tex]\sf Number \ of \ squares \ in \ 8^{th} \ step = \dfrac{8 * (8+1)}{2}[/tex]
[tex]\sf = \dfrac{8*9}{2}\\\\ = 4*9\\\\=36 \ squares[/tex]
Which graph represents the solution to x<6?