A boat starts at point A. It travels a distance of 7 km on a bearing of 135° to point B. From B it
travels 12 km on a bearing of 250° to point C. Using a scale of 1 cm: 1 km, draw a diagram to
show these bearings and journeys.
Answers
The diagram that represent the distance and the journeys is added as an attachment
How to make the diagramFrom the question, we have the following parameters that can be used in our computation:
Initial point = ADistance of 7 km on a bearing of 135° to point B. From B it, travels 12 km on a bearing of 250° to point CUsing the above as a guide, we have the following:
Next, we create the diagram (see attachment)
The attached figure represents the required diagram
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Related Questions
In the figure, m<7 = 100. Find the measure of <5
Answers
By the definition of vertically opposite angle, the value of measure of ∠5 is, 100°.
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
In the figure,
⇒ m ∠7 = 100°
Now, By the figure we have;
Both the angles 7 and angle 5 are vertically opposite angle.
And, We know that the vertically opposite angles are equal to each other.
Hence, We get;
⇒ m ∠7 = m ∠5
⇒ 100° = m ∠5
⇒ m ∠5 = 100°
Thus, We get;
⇒ m ∠5 = 100°
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I have $10,000 to invest for my daughter's car. I earned $215.04 when splitting the money into a
3% interest account and a 1.1% interest account. How much did I invest at each? (1 = prt; 1= interest
earned, p = principle (the amount invested), r = rate as a decimal, t = time in years)
Answers
The amount invested in the 3% interest account is $11,342.11, and the amount invested in the 1.1% interest account is $10,000 - $11,342.11 = $-342.11.
What is the interest?
Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
Let's call the amount invested in the 3% interest account x. Then, the amount invested in the 1.1% interest account is $10,000 - x.
The interest earned in the 3% interest account is 0.03x, and the interest earned in the 1.1% interest account is 0.011($10,000 - x).
The total interest earned is equal to the sum of the interest earned in each account:
0.03x + 0.011($10,000 - x) = $215.04
Expanding and solving for x:
0.03x + 0.011 * $10,000 - 0.011x = $215.04
0.019x = $215.04 + 0.011 * $10,000 - 0.011 * $10,000
0.019x = $215.04
x = $215.04 / 0.019
x = $11,342.11
Hence, the amount invested in the 3% interest account is $11,342.11, and the amount invested in the 1.1% interest account is $10,000 - $11,342.11 = $-342.11.
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what is distance between (1,0) and (9,15)
Answers
Answer:
17
Step-by-step explanation:
To solve this problem, we need to use the distance between two points formula. It states that the distance is [tex]\sqrt{(x_{1} - x_{2} ) ^{2} + (y_{1} - y_{2})^{2} }[/tex]. Here, [tex]x_{1} = 1, x_{2} = 9, y_{1} = 0, y_{2} = 15[/tex]. Plugging these values in gets us [tex]\sqrt{64 + 225}[/tex] which equals [tex]\sqrt{289}[/tex] = 17 .
Un numero es el quintuple de otro y la suma de los dos es 192
al cuales son esos dos números?
Answers
Los dos números dados en el conjunto de preguntas anterior son 32 y 160. Para resolver este problema, se puede establecer una ecuación con variables.
Sea x el número más pequeño, entonces el número más grande sería 5x. La suma de ambos es 192, por lo que
x + 5x = 192.Al resolver esta ecuación simple, se obtiene que x = 32, y por lo tanto, 5x = 160. Estos son los dos números que cumplen con los requisitos dados en la pregunta.
En matemáticas, la sumatoria es la suma de una secuencia de cualquier tipo de números, llamados sumandos o sumandos; el resultado es su suma o total.
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the radius of the sphere is 10 units. what is the approximate volume of the sphere? use and round to the nearest whole cubic unit. 42 cubic units 126
Answers
The volume of a sphere with radius 10 units was found to be approximately 42 cubic units.
The volume of a sphere can be calculated using the formula:
V = (4/3) * π * r^3
Where, r is the radius of the sphere. In this case, the radius is 10 units, so we can plug in the values and calculate the volume:
V = (4/3) * π * 10^3 = 4184 cubic units
So, the approximate volume of the sphere with a radius of 10 units is 4184 cubic units.
Rounding off to the nearest whole cubic unit, 4184 cubic units becomes 42 cubic units.
Volume of a sphere is the amount of space inside a sphere.
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Consider the function g(x)=−(x−3)^3−2.
Which ordered pair lies on the inverse of the function?
Answers
The ordered pair that lies on the inverse of the function is (25, 0)
Which ordered pair lies on the inverse of the function?From the question, we have the following parameters that can be used in our computation:
g(x)=−(x−3)^3−2.
Set x = 0
So, we have the following representation
g(0) =−(0−3)^3−2.
Evaluate the expression
This gives
g(0) = 25.
So, the ordered pair of teh inverse is (25, 0)
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Answer: -3,4
Step-by-step explanation:
42:29
The function(x) - 3. 25x represents the total amount
collected from cars at one toll booth based on the number of
cars that pass through, x. The mathematical domain for the
function is the set of real numbers,
How does the reasonable domain differ from the
mathematical domain?
The reasonable domain is the set of natural numbers
The reasonable domain is the set of positive real
numbers
The reasonable domain is the set of real numbers greater
than 3. 25
The reasonable domain is the set of whole numbers
greater than 3,25
Answers
The function is the relation between number of cars and toll collected in the toll booth. So the correct option is that the reasonable domain is a set of natural numbers.
While considering a function regarding to mathematical domain, for f(x) = 3.25x, x can be any values between -∞ to +∞. For every x value, we could calculate f(x).
But here, we are dealing with number of cars. So it can have only values as a natural number. A negative integer, fraction or decimal cannot represent x. So it will be a set of natural numbers.
So the domain here is the set of natural numbers.
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can someone please help me(20 points will give brainliest!!!)
Answers
Answer:
Step-y-step explanation: я хз
if 39 degree represents a clockwsie rotation of 39 degrees, what does -51 degrees represent
Answers
Angle - 51 degrees represent a counterclockwise rotation of 51 degrees.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
If 39 degrees represents a clockwise rotation of 39 degrees.
Then we can conclude that the clockwise is taken as positive and counterclockwise is taken as negative.
Angle - 51 degrees represent a counterclockwise rotation of 51 degrees.
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When Destiny agreed to proofread her brother's essay, she expected that it would be 2 pages long. When he gave her the essay, it was actually 4.5 pages long. What is the percent error for her estimate?
Answers
Answer:
44.44%
Step-by-step explanation:
Error percent can be found by this formula
Estimation/Actual number x 100/1
= 2/4.5 x 100/1
= 200/4.5 = 2000/45
= 400/9
= 44.44 %
jokes are listed in a magazine, where one is written by a female author. If the order in which these jokes are told makes a difference in terms of how they are received, how many ways can they be delivered if a joke by a man is told first?
Answers
Answer: Let's assume that there are "m" jokes written by male authors and "f" jokes written by female authors, such that m + f = total number of jokes in the magazine.
If a joke by a man is told first, there are (m - 1)! ways to arrange the remaining m - 1 jokes written by male authors and f! ways to arrange the jokes written by the female author. The total number of ways the jokes can be delivered is (m - 1)! * f!.
So, the answer is (m - 1)! * f! ways to deliver the jokes if a joke by a man is told first.
Step-by-step explanation:
A. Make an organized list to represent the sample space of tossing a coin and picking a number between 1 and 5, inclusive. [Hint: Inclusive means that 1 and 5 may be picked. ]
B. In your list from A, which are favorable outcomes of the following event: choosing an odd number? you have to write it down.
Answers
The answer is A)The list of favorable outcomes are 1) 1-1, 1-2 ; 2) 2-1, 2-2 ; 3) 3-1, 3-2 ; 4) 4-1, 4-2 ; 5) 5-1, 5-2 ; B) There's 50% chance of probability of being odd.
A) If the sample space of tossing a coin and picking a number between 1 and 5, inclusive then there are 5 set of probabilities as an outcome:
1) 1-1, 1-2 ;
2) 2-1, 2-2 ;
3) 3-1, 3-2 ;
4) 4-1, 4-2 ;
5) 5-1, 5-2
B) And in the case of getting odd numbers as an probability outcome, there are 50% chance of it being odd.
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Math in the Real World Terrell plotted points on the coordinate plane as shown. He noticed that the points lie on a straight line. Write an equation that shows the relationship between the x- and y-coordinate of each point Terrell plotted. Then use the equation to find the y-coordinate of a point on the line with an x-coordinate of 20. YA 10 8 6 2 (5.2) (9,6) (8,5) (3, 0) 0 2 4 6 8 10 x
POINTS:50 (EMERGENCY!)
Answers
(20,14)
Not much to explain here
while on a walk in the country, you pass a field full of horses and geese. after a quick count, you determine there are 33 heads and 102 feet in the field. how many of each animal are there?
Answers
The field is full of 18 horses and 15 geese.
Let's assume that there are x horses and y geese in the field. The number of heads can be represented as x + y = 33. The number of feet can be represented as 4x + 2y = 102.
We can use substitution to solve for one variable in terms of the other. From the first equation, we can solve for y in terms of x:
y = 33 - x
Substituting this expression for y into the second equation, we get:
4x + 2(33 - x) = 102
Expanding and simplifying the expression, we get:
4x + 66 - 2x = 102
Solving for x, we get:
2x = 36
And x = 18
So there are 18 horses in the field. Substituting this value for x into the expression for y, we get:
y = 33 - x = 33 - 18 = 15
So there are 15 geese in the field. Thus, the field is full of 18 horses and 15 geese.
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The diagonals of quadrilateral ABCD intersect at point K. Is each of the following needed to prove that ABCD is a parallelogram?
Answers
Answer:
BK=AK: no
BK=DK:yes
CK=AK:yes
CK=DK:no
Step-by-step explanation:
for the first and last, it is not needed because a rectangle is a parallelogram, for example, but its diagonals are not congruent. The diagonals intersect each other at both of their midpoints, on the other hand, so therefore the second and third must be true. Does this make sense?
what is the probability of obserbing another sample proportion from this population that is between 0.45 and 0.70
Answers
reduce fraction 2x+nx-2y-ny/7x-7y and give boundaries
Answers
Answer:2+n/7
Step-by-step explanation:
Simplify the expression
Find the volume of a sphere with a surface
area of 2,123.72 square meters
Answers
V = (4/3) * π * r^3
Where r is the radius of the sphere. To find the radius, we can use the surface area formula for a sphere:
A = 4 * π * r^2
So, rearranging this formula to solve for r:
r = √(A / (4 * π))
Substituting the given surface area of 2,123.72 square meters and simplifying:
r = √(2123.72 / (4 * π)) = √(532.43) = 23.06
Now that we have the radius, we can use it to find the volume of the sphere:
V = (4/3) * π * r^3 = (4/3) * π * 23.06^3 = 24,785.01 cubic meters
So the volume of a sphere with a surface area of 2,123.72 square meters is approximately 24,785.01 cubic meters
Answer:
9202.77m³Step-by-step explanation:
Let's get the volume of the sphere by finding the radius using the surface area given Surface area of a sphere = 4πr²[tex]2123.72 = 4 \times 3.14 \times {r}^{2} [/tex]
[tex]2123.72 = 12.57 {r}^{2} [/tex]
[tex] \frac{12.57 {r}^{2} }{12.57} = \frac{2123.72}{12.57} [/tex]
[tex] {r}^{2} = 168.95[/tex]
[tex]r = 13.0[/tex]
Volume of a sphere[tex] \frac{4}{3}\pi {r}^{3} [/tex]
[tex] \frac{4}{3} \times 3.14 \times {13}^{3} = 9202.77 {m}^{3} [/tex]
solid shapes are regular when all the faces are eaqual which 3d shapes is regular?
a) cylinder
b) cube
c) cuboid
Answers
A regular solid shape is defined as a three-dimensional object that has all its faces congruent and all its vertices congruent. In other words, all faces have the same shape and size and all vertices have the same angle measures.
Among the options provided, only the cube is a regular solid shape. A cube is a three-dimensional object that has six equal square faces. Each face is a square and each vertex has the same angle measure. The edges of a cube are congruent and the shape is highly symmetrical.
The cylinder is not a regular solid shape because it has two congruent circular faces and one curved surface, which is not congruent to the other two faces. The vertices of a cylinder also have different angle measures.
The cuboid is not a regular solid shape because it has six rectangular faces, and the shape is not highly symmetrical. The vertices of a cuboid also have different angle measures.
In conclusion, a regular solid shape must have congruent faces and congruent vertices, and only a cube satisfies these conditions. It is important to note that not all regular shapes are regular solid shapes, for example, a sphere is a regular shape, but it is not a regular solid shape because it has no faces, vertices or edges.
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What is 1/3 times (-8)?
Answers
Answer:
Step-by-step explanation:
-2.67
Please help Asap. No links or files, i will report! Show work Please!
Answers
The value of x is 13.85.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the figure,
(7x + 1)° and (6x - 1)° makes a straight angle.
This means,
(7x + 1) + (6x - 1) = 180
7x + 1 + 6x - 1 = 180
13x = 180
x = 180/13
x = 13.85
Thus,
x is 13.85°
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Simplify to lowest terms:
2.5:10
1.4:1.8
0.04: 0.3
1/5: 4/5
3/4: 1/2
6.2:5 2/5
Answers
Step-by-step explanation:
2.5:10 = 1/4
1.4:1.8 = 7/10
0.04: 0.3 = 2/50
1/5: 4/5 = 1/5
3/4: 1/2 = 3/2
6.2:5 2/5 = 12/5
2.5 : 10 = 1 : 4
1.4 : 1.8 = 7 : 9
0.04 : 0.3 = 2 : 15
1/5 : 4/5 = 1 : 4
3/4 :1/2 = 3 : 2
6.2 : 5 2/5 = 31 :27
10+10-2 a aa aa a aanswe pls
Answers
Answer:18
Step-by-step explanation:
Answer:18
Step-by-step explanation:
I need help with a problem
Answers
Answer:
x= 19
Step-by-step explanation:
6x+4+4x-14= 180
10x-10= 180
10x= 190
x= 19
A block weighs w kg. wrote down,in terms of w, the weight of 8 such blocks.
Answers
Based on the information provided, if a block weighs w kg, then it is expected for 8 blocks to weigh 8w kg.
What is weight?The weight can be defined as the mass contained in an object or body, this is often expressed using units such as grams, pounds, kilograms, or tons.
What expression will show the weight of 8 blocks?Considering w = the weight of a single block, the best expression to show the weight of 8 blocks is 8wkg. This letter can be replaced by the value of the weight if known, for example, 8 x 25 kg.
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WILL GIVE BRAINLIEST PLEASE HELP.
find the area of the shaded regions give your answers as a correctly simplified answer value in terms of pie
Answers
The area of the shaded region is 84.82 cm².
What is the area of the shaded region?
The area of the shaded region is calculated by subtracting the area of the sector from the area of the entire circle.
Since the angle of the sector is 90 degrees, we can conclude that the entire circle is divided into four.
Area of the shaded region = πr² - 1/4(πr²) = 3/4πr²
where;
r is the radius of the circleThe area of the shaded region is calculated as;
A = 3/4πr²
A = 3/4 x π ( 6 cm )²
A = 84.82 cm²
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The data from a survey on the academic degrees earned by students in the United States in 2009 is shown below. Degree Male (in thousands) Female (in thousands) Marginal Totals (in thousands) Associate 298 489 787 Bachelor 685 916 1,601 Master 260 397 657 Professional 47 45 92 Doctorate 32 35 67 Marginal Totals (in thousands) 1,322 1,882 3,204 About how many students were awarded a bachelor’s degree in 2009? A. 916,000 B. 685,000 C. 1,601,000 D. 1,322,000
Answers
1601000 students were awarded a bachelor’s degree in 2009.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
First, notice that the table is in thousands, remember that.
Now, we need to go to the part of the row of the table where we have "Bachelor".
There we can see that in 2009, a marginal total of 1,601 thousands got that degree.
Then we can conclude that in 2009, a total of:
1,601×100 = 1,601,000 students got a bachelor's degree.
Hence, 1601000 students were awarded a bachelor’s degree in 2009.
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Answer:
C. 1,601,000
Step-by-step explanation:
This is the correct answer.
Question's attached below.
Ty! :)
Answers
Answer:
$14087.49
Step-by-step explanation:
APR=8%,
monthly interest rate (r)=8%/12=0.08/12
Monthly payment, A=$250
After 4 years, n=4*12 = 48 months,
the balance P is therefore
P= A((1+r)^n-1)/i
=250((1+0.08/12)^48-1)/(0.08/12)
=14087.49
a sandwich shop purchases a used pizza oven for $955. after 5 years, the oven will have to be discarded and replaced. write a linear equation giving the value v of the equipment during the 5 years it will be in use. (use t to represent the year.)
Answers
A linear equation giving the value v of the equipment during the 5 years it will be in use is v = 955 - 191t
A linear equation models a linear relationship between two variables, where the rate of change between the two variables is constant. In this case, we can model the value of the equipment as it depreciates over time using a linear equation.
Since the value of the equipment decreases linearly over time, we can write an equation in the form:
v = a - bt
where v is the value of the equipment in year t, a is the initial value of the equipment, and b is the constant rate of depreciation.
Since the initial value of the equipment is $955, we can set a equal to 955. To find the constant rate of depreciation, we need to find the change in value over the 5 years it will be in use and divide by the number of years. Assuming after 5 years the value is 0,
constant rate of depreciation = 955/ 5
= 191
So, with a = 955 and b = $191 per year, the linear equation that models the value of the equipment over time is:
v = 955 - 191t
This equation gives the value of the equipment in year t based on the initial value and the constant rate of depreciation.
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what is the probability of having no defectives in a sample of size 3 from a lot of 24 items with 5 known defectives.
Answers
The probability of having no defectives in a sample of size 3 from a lot of 24 items with 5 known defectives is 0.0403 or approximately 4%.
The probability of having no defectives in a sample of size 3 from a lot of 24 items with 5 known defectives can be calculated using the binomial probability formula. The formula is given by:
P(X=k) = (n choose k) * p^k * (1-p) ^(n-k)
where:
n = sample size (3)
k = number of successful trials (0)
p = probability of success (probability of an item being non-defective)
Since there are 24 items in the lot and 5 of them are known to be defective, the probability of success (p) is equal to 19/24.
Plugging in the values, we get:
P(X=0) = (3 choose 0) * (19/24) ^0 * (5/24) ^3
= 1 * 1 * (5/24) ^3
= (5/24) ^3
= 0.0403
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