The distance traveled from the starting point to the ending point is 30.35 km.
What is a bearing?
A bearing tracks the rotation of an angle around the north line in a clockwise fashion. The line connecting the compass's centre to a location and measuring its bearing in degrees as it moves clockwise from north is known as the bearing.
The ship travels 50 km on a bearing of 27°, and then travels on a bearing of 117° for 140 km.
The x-coordinate of the final point is -
50 cos (27°) + 140 cos (117°) = -19
The y-coordinate of the final point is -
50 sin (27°) + 140 sin (117°) = 23.67
The distance from (0,0) to the final point is as follows -
d = √(-19)^2+(23.6)^2)
= √(921.27)
= 30.35 km
Therefore, the distance traveled is 30.35 km.
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Is algebra.
PLEASE HELP NO LINKS OR FILES.
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Answer:
3(x+5)x(x-6)
Just fyi download photo math and it literally answers the question for you so you dont waste any more points
Step-by-step explanation:
QUESTION 1 OF 10
If √62-9 =z, what is the value of ?
The required value of z is "i√6" to the given expression√(6/2 - 9) = z.
What is a complex number?A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, and b are real numbers and i is an imaginary number.
The expression is given in the question, as follows:
√(6/2 - 9) = z
We have to determine the value of z to the given expression.
As per the question, we have
⇒ √(6/2 - 9) = z
⇒ √(3 - 9) = z
⇒ √(- 6) = z
⇒ √(6 × -1 ) = z
⇒ (√6 × √-1 ) = z [∵ imaginary number i = √-1 ]
⇒ (√6 × i ) = z
⇒ z = i√6
Therefore, the required value of z is "i√6" to the given expression.
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I'm not sure about this question. Could anyone help? Geometry.
Answer: length of EF is 18 units.
Step-by-step explanation:
similar triangles (as displayed in the photo) have the same angle measures, but can have different side lengths. however, these side lengths are proportional to each other, meaning that with similar triangles, there will ALWAYS be a number you can multiply the first triangle by to get its similar triangle.
you can find this number by dividing one side length of whichever triangle is bigger with its corresponding side on the other triangle (for example, sides DF and AC correspond, so you'd divide whichever value's bigger by the smaller one. in this case you'd divide 21 by 14.) this gives you 1.5, which tells you that triangle DEF is 1.5 times larger than triangle ABC. so to get EF, just multiply BC (which is 12) by 1.5. this gives you 18. so, EF equals 18. hope this helped :3
What is median?
the sum of values in a set of data multiplied by the number of values in the set
the sum of values in a set of data divided by the number of values in the set
the middle value in a data set when the values are put in order
the value that occurs most often in a data set
the middle value in a data set when the values are put in order
For example, the set {3,1,2} sorts to {1,2,3} where the median is 2.
Another example: The set {1,2,3,4} has 2 and 3 tied for the middle most position. The midpoint is (2+3)/2 = 5/2 = 2.5 which is the median.
I really need an answer for this FAST so if anybody can answer id really appreciate it :)
both Square and Rectangle
because all squares are rectangles, but not all rectangles are squares. Hope this helps. :)
Let X_0, Y and Z be integers greater than 0. Let A_n be the product of the unique prime factors of X_n. What condition is needed to be met for the equation X_(n+1) = YA_n + Z to have X_p = X_q, where p =/= q?
On solving the provided question we can say that - the prime factors of 32 are 2 × 2 x 2 x 2 x 2 and of 64 are - 2 x 2 × 2 x 2 x 2 x 2
what is prime factor?Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.
the prime factors of
32 are 2 × 2 x 2 x 2 x 2
64 are - 2 x 2 × 2 x 2 x 2 x 2
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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 9 feet and a height of 10 feet. Container B has a radius of 5 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Containter B is completely full.
To the nearest tenth, what is the percent of Container A that is empty after the pumping is complete?
Answer:
61.74%
Step-by-step explanation
Find the vol of container one: Volume = Pi(r^2)(height) = 3.14159*81*10 = 2544.69 cu.ft.
Find the vol of container two: Pi(r^2)(height) = 1570.79 cu.ft.
Now the % of container A that is empty is
(1 - ((Volume A - Volume B)/Volume A))*100% = 61.73%
HELP DUE IN 15 MINS!
Find the length of the diagonal of the square and the variables. You can round to the nearest tenth.
diagonal =??
x =?? degrees
° y =?? degrees
Answer:
Diagonal ⇒ d = 6√2 = 8.5 iny = 90° (diagonals are perpendicular)x = 45° (isosceles right triangle)what is the answer??????????????
Answer:
2x = 10y, 0x=8y, 4x=12y
Step-by-step explanation:
So, lets go over what we know.
Y=x+8
We need to figure out what y is for x equals:
2
0
4
So, lets plug in these number:
Lets start with 2:
y=2+8
=
y=10
So the first y value is 10.
Next we have:
y=0
y=0+8
=
y=8
So the second y value is 8.
Next we have:
y=4
y=4+8
=
y=12
So the last y value is 12.
Hope this helps! :D
Which equation could be used to find the length of the missing side of
the right triangle?
22 cm
7 cm
bcm
Step-by-step explanation:
use Pythagoras theorem
[tex]b = \sqrt{h ^{2} - p ^{2} } [/tex]
What is Y + 4 = 3x + (-5) as a y = mx + b equation??
10. Express the following as a single fraction.
x-1 +x+2 + x
2
5
4
Answer:
x+x+x=3x
2-1=1
3x+1
this is ansver
The spray from a spinning lawn sprinkler creates a circle with a radius of 50 feet.
What is the area of the circle covered by the lawn sprinkler, in square feet?
A= 2500
B= 100
C= 625
D= 50
Please Help!! Offering 8 points to each answerer and a Brainliest! Please answer the following parts of this question.
(02.05 HC)
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
Part A: Two types of transformations: translation and reflection.
Part B: g(x)=f(x)+k
-1= -1+ k
k= -1+1=0
g(x)=f(x)+k
-1= 5+k
k= -1-5=-6
g(x)=f(x)+k
14= 14+k
k= 0
k= -6,0,-6,0
Part C: For horizontal translation, g(x)=f(x+2)
In case of vertical translation, g(x)=f(x)+10
Therefore, the equation of transformation can be written as g(x)=f(x+2)+10.
Step-by-step explanation:
I thought. :') Ever since yesterday, and today. Hope this helps!
15 points !!!!! Given: x - y = 11.
If x = -17, what is y?
Please put your answer in the format “y=____”
Answer:
y=-28
Step-by-step explanation:
-17-y=11
-y=11+17
-y=28
y=-28
if 12 men complete a piece of work in 10 days in how many days would 15 men complete the same work
Step-by-step explanation:
number of men =12
time taken = 10 days
time taken to complete the work by 15 men = 12÷10=1.2
= 1.2 ×15 = 18
therefore, 18 days is taken to complete the work by 15 men
What is the relationship between xzw and wzv on a vertical angle?
The relationship between xzw and wzv on the vertical angle is as follows:
∠ xzw + ∠ wzv = 180
How to find the relationship between angles?Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles share the same vertex and they are congruent to each other.
Therefore,
∠vzy ≅ ∠wzx(vertical angles)
Hence, the relationships between angles xzw and wzv is as follows:
∠ xzw + ∠ wzv = 180 (sum of angles on a straight line)
3x + 17 + x - 9 = 180
4x + 8 = 180
4x = 180 - 8
4x = 172
x = 172 / 4
x = 43
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Which is the best estimate for the average rate of change for the quadratic function graph on the interval 1 ≤ x ≤ 3?
Answer:
I think it's either 1/2 or 1/3.
How do you solve 9x 7 =- 7?
The value of x is 0
Now, According to the question:
Let's know:
How to find the value of 'x'
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
The given equation is:
9x - 7 = -7
To solve the value of 'x'
9x - 7 = -7
Add 7 on both sides:
9x - 7 + 7 = -7 + 7
9x = 0
x = 0/9
x = 0
Hence, The value of x = 0
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The complete question is this:
How do you solve 9x - 7 = -7
Solve for the indicated values.
For both
Answer:
CH = 22°
Step-by-step explanation:
We know that Arc AC and Arc CH both equal to 180°, therefore we can say;
AC + CH = 180°
158 + CH = 180°
CH = 180 - 158
CH = 22°
Hope this helps!
1/5t + 2 - 2 = 17 - 2
Answer:
[tex]t=75[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{5} t+2-2=17-2[/tex]
Lets solve for [tex]t[/tex].
Subtract 2 from 2.
[tex]\frac{1}{5} t=17-2[/tex]
Subtract 2 from 17.
[tex]\frac{1}{5} t=15[/tex]
Combine [tex]\frac{1}{5}[/tex] and [tex]t[/tex].
[tex]\frac{t}{5} =15[/tex]
Multiply both sides of the equation by 5.
[tex]\frac{t}{5}*5 =15*5[/tex]
[tex]t=75[/tex]
50% of 188 is equal to what number?
Answer:
Step-by-step explanation:
a.50%=[tex]\frac{1}{2}[/tex]
b.so 50% of 188 means 188·[tex]\frac{1}{2}[/tex]=94
answer is 94
Find the area of triangle XYZ
Answer:
[tex] \displaystyle A _{XYZ - \text{triangle}} = 24 {cm}^{2} [/tex]
Step-by-step explanation:
we have two right angle triangles
we want to figure out the area of XYZ triangle
we are given the base not the altitude (height) so we need to figure the height of XYZ to figure out the area of XYZ
in that case we can use Pythagoras theorem given by
[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]
given that, c=5 and b=3 thus
substitute:
[tex] \displaystyle {3}^{2} + {a}^{2} = {5}^{2} [/tex]
simplify squares:
[tex] \displaystyle 9 + {a}^{2} = 25[/tex]
cancel 9 from both sides:
[tex] \displaystyle {a}^{2} = 16[/tex]
square root both sides:
[tex] \displaystyle {a}^{} = 4[/tex]
we have figured out the height of XYZ triangle
remember that,
[tex] \displaystyle A _{ \text{triangle}} = \frac{1}{2} bh[/tex]
we have h=4 and b=9+3=12
substitute:
[tex] \displaystyle A _{ \text{triangle}} = \frac{1}{2} \times 12\times 4[/tex]
reduce fraction:
[tex] \displaystyle A _{ \text{triangle}} = 12\times 2[/tex]
simplify multiplication:
[tex] \displaystyle A _{ \text{triangle}} = 24[/tex]
hence,
the area of triangle XYZ is 24 cm²
Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the finished object assuming it is empty inside.
Given:
A figure of a robotics project.
To find:
The volume of the finished object assuming it is empty inside.
Solution:
The given figure contains a triangular prism and a cuboid.
The dimensions of the cuboid are 6 cm, 8 cm and 5 cm. So, the volume of the cuboid is:
[tex]V_1=length\times width\times height[/tex]
[tex]V_1=6\times 8\times 5[/tex]
[tex]V_1=240[/tex]
So, the volume of the cuboid is 240 cubic cm.
The area of a triangle is:
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
So, the area of the base of the triangular prism whose base is 8 cm and height 4 cm, is:
[tex]B=\dfrac{1}{2}\times 8\times 4[/tex]
[tex]B=16[/tex]
The volume of a triangular prism is:
[tex]V_2=Bh[/tex]
Where, B is the base area and h is the height of the prism.
The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:
[tex]V_2=16(5)[/tex]
[tex]V_2=80[/tex]
Now, the volume of the given figure is:
[tex]V=V_1+V_2[/tex]
[tex]V=240+80[/tex]
[tex]V=320[/tex]
Therefore, the volume of the finished object is 320 cubic cm.
What is the growth factor associated with the following growth rate: 30% decrease Your answer should be typed as a decimal.
find value of m
[tex] {m}^{2} + 35 = 240 \div (12 \div 3)[/tex]
Answer:
5 ( or ) - 5
Step-by-step explanation:
12/3 = 4
240/4 = 60
m² + 35 = 60
m² = 60 - 35
m² = 25
m = - 5 ( or ) 5
Because,
( - 5 )² = - 5 * - 5 = 25
5² = 5 * 5 = 25
Which segment(s) are perpendicular to overline AB ? B A. Segment CE only B. Segment CD and segment CE C. Segments CD , CE , and CF
Answer:
A letter A
Step-by-step explanation:
Segment CE only
mypoints!
The perpendicular line AB is segment CE only. The correct option is A.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. If two lines cross at a right angle, they are said to be perpendicular to one another.
The line CE is making an angle of 90 degrees with the line AB, then the line CE will be perpendicular to the line AB.
Therefore, the perpendicular line AB is segment CE only. The correct option is A.
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Can somebody help please .
Answer:
easy just think thoroughly
Step-by-step explanation:
1 is A
2 is C
3 is B
4 is D
If AT = 12 and KN = 18, find OB.
Answer:
15
Step-by-step explanation:
There is a formula for this it is,
B1+B2/2
B1= Base one or TA in this case
B2= Base two or NK in this case
You replace the values with the variable:
B1=12
B2=18
12+18/2 = 30/2= 15
OB=15
The midsegment of the trapezium OB is 15
Mid segment of a trapezium:The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases.
OB = mid segment
Therefore, mathematically,
OB = 1 / 2 (AT + KN)
where
AT = 12
KN = 18
Therefore,
OB = 1 / 2(12 + 18)
OB = 30 / 2
OB = 15
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Your family travels from Bazooka, Iowa, to Dentyne, Missouri, a distance of 348 miles. Your car averages 14.5 miles per gallon on open road driving. If you filled your vehicle at a station where regular gasoline cost $1.83 per gallon, how much would the
Consequently, it would take polynomials roughly 690,64 years for the disintegrations to disappear.
what are polynomials?A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial is an expression in mathematics that consists of variables (sometimes referred to as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression made up of coefficients and variables. The only operations that an expression can contain are addition, subtraction, multiplication, and non-negative integer exponents. These expressions are known as polynomials.
The formula for this is Activity = decay constant x atoms.
1238 = 2.64 x 1010 times the decay constant
decay constant is equal to 4.76 x 10-8 min-1.
Currently, the disintegrations are being slowed to 809 disintegrations per minute.
Ln(809) = Ln(2.64 x 1010) - Ln(4.76 x 10-8 x t)
t=3.63x108min = 690.64y
Consequently, it would take roughly 690,64 years for the disintegrations to disappear.
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