Using the slope concept, it is found that the ship’s horizontal distance from the lighthouse (and the shore) is of 715.09 feet.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, we have that:
The vertical change is of 139 feet.The horizontal change is of d feet.The angle is of 11º.Hence:
tan(11º) = 139/d
d = 139/tan(11º)
d = 715.09.
The ship’s horizontal distance from the lighthouse (and the shore) is of 715.09 feet.
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Ariel has a salary of $100,000 in the year 2003 and got a raise of 3.32 % every year. How much money in total will Ariel earn up through the year 2007, to the nearest dollar?
solve the equation
(x+1)(x+8)=0
Answer:
x²+9x+8
Step-by-step explanation:
(x)(x+8)+(1)(x+8)
x²+8x + ×+8
x²+9x+8
Hey there!
Answer :x = -1 or x = -8 ✅
Explanation :To solve this equation, you have to use the zero product property.
↳ Ifa product of factors is zero, then at least one of its factors is zero.
Which means that either x + 1 = 0 or x + 8 = 0
⇒ x + 1 = 0
Subtract 1 from both sides :
⇒ x + 1 - 1 = 0 - 1
⇒ x = -1
OR
⇒x + 8 = 0
Subtract 8 from both sides :
⇒x + 8 - 8 = 0 - 8
⇒x = -8
Therefore, x = -1 or x = -8.
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Which lists all of the x-intercepts of the graphed
function?
O (0, 6)
O (1, 0) and (2, 0)
O (1, 0), (2, 0), and (-3, 0)
O (1, 0), (2, 0), (-3, 0), and (0, 6)
Answer:
(1, 0), (2, 0), and (-3, 0)
Step-by-step explanation:
The x intercepts are where it crosses the x axis. It crosses at (-3,0), (1,0) and (2,0)
yx^-4*(x^2y^4)^-2
Simplify,
Please show work
I’ll give Brainliest
A rod is cut into 8 equal pieces.what fraction of the rod does 1 piece represent
Answer:
1/8
Step-by-step explanation:
you divide 1 by 8 which is 1/8.
the sum of interior angle of a regular Pentagon in 540 degree find the interior angle
Answer:
108°Step-by-step explanation:
A regular pentagon has five interior angles of the same measure.
Then
An interior angle has a measure of :
540/5 = 108°
Hello, the answer should be [tex]108^o[/tex].
The interior angle of any shape formula, if the geometric shape is regular and the sum of interior angle is known, can be written as;
[tex]Interior=\frac{Sum(angles)}{Side}[/tex]
Regular pentagon has 5 sides.
The sum of interior angles of regular pentagon is [tex]540^o[/tex].
[tex]Result=\frac{540^o}{5}=108^o[/tex]
Good luck! If you have any question(s), then feel free to ask in comments.
In an oblique drawing, which surface is shown in its true size and shape and is parallel to the horizon?
top
side
bottom
front
In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front.
What is the drawing about?The Position of an object in a drawing is known to be parallel to the plane of projection and the circular shape is true in front plane of the oblique view.
The measurements on the front and oblique faces are known to have all its lengths to be true.
Note also that A pictorial drawing that has the front view of an object parallel to the projection plane and shown its true size and shape is known to be Oblique Drawing.
Therefore, In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front and as such, option d is correct.
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What is the approximate length of AB¯¯¯¯¯¯¯¯?
Answer
9.2 units
Step-by-step explanation:
A(-2,-2) and B(4,4) then the length is given by the distance formula
length = [tex]\sqrt{(4-(-2))^{2}+(4-(-3))^{2} }[/tex] units
= [tex]\sqrt{6^{2}+7^{2} }[/tex] units
= [tex]\sqrt{85\\[/tex] units
= 9.2 units
Answer:
AB ≈ 9.2 units
Step-by-step explanation:
calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (- 2, - 3 ) and (x₂, y₂ ) = B (4, 4 )
AB = [tex]\sqrt{(4-(-2))^2+(4-(-3))^2}[/tex]
= [tex]\sqrt{(4+2)^2+(4+3)^2}[/tex]
= [tex]\sqrt{6^2+7^2}[/tex]
= [tex]\sqrt{36+49}[/tex]
= [tex]\sqrt{85}[/tex]
≈ 9.2 units ( to the nearest tenth )
mi
pie
In the following diagram, BC is parallel to DE.
What is the measure of Zz?
Angles are not necessarily drawn to scale.
B
C
4
103°
A
D
F
La=
42°
E
Answer: 35
Step-by-step explanation:
Angles in a triangle add to 180 degrees, so in triangle ABC, [tex]m\angle C=180-103-42=35^{\circ}[/tex].
Sp, by the corresponding angles theorem, x=35
Please help! This is reflections in geometry! Thank you.
If these coordinates reflected over y = -1, the resulting coordinate will be:
P = (-4, -6)
Q = (-2,-8)
R = (1, -4)
Reflection of coordinatesA reflected coordinates are mirror images of each other. From the given diagram, the coordinate points are;
P = (-4, -3)
Q = (-2,-4)
R = (1, -2)
If these coordinates reflected over y = -1, the resulting coordinate will be:
P = (-4, -6)
Q = (-2,-8)
R = (1, -4)
The y coordinates are multiplied by a factor of 2
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12345678910111213141516
Step-by-step explanation:
oh, come on. you can just use common sense.
a local minimum is a point where the curve goes down to, and then turns around and starts to go up again. that point in the middle, where it turns around and does not go down any further, is the minimum.
for the maximum the same thing applies, just in the other direction (the curve goes up and turns around to go back down again).
a)
the local minimum values (y) are
-2, -1
b)
the values of x where it had these minimum values are
-1, +3
proportional relationships, please help!
Answer:
y = 5/2 x
Step-by-step explanation:
y varies directly with x meaning this equation : y=kx
you plug in the information given
10 = k(4) and then solve ... k = 10/4 which simplifies to 5/2
Use the Pythagorean theorem to find the distance between the points (1,1) and (5,7).?
Check the picture below.
The owner of a local restaurant surveyed her staff on their preference of uniform color. The results are displayed in the table below. Which pair of samples is most representative of the preference of all the staff?
Answer:
my bro you gotta put the table down
Step-by-step explanation:
The following box plot shows the number of years during which 24 schools have participated in an interschool swimming meet:
At least how many schools have participated for 1 year or less? (5 points)
6 schools
8 schools
12 schools
14 schools
The number of schools have participated for 1 year or less are below the first quartile, which is: A. 6 schools.
What is the First Quartile in A Box Plot?The first quartile marks the 25th data point of a data distribution (1/4) and is represented at the beginning of the edge of the rectangular box in a box plot.
Using the box plot given, 1 year is the first quartile mark on the box plot. So, the schools that participated for 1 year or less is 1/4 of the total schools. That is:
1/4 × 24 = 6 schools.
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Find the value of x ..... Thanks
[tex]\dfrac{|AE|}{|AD|}=\dfrac{|AB|}{|AC|}[/tex]
Therefore:
[tex]\dfrac{10}{10+8}=\dfrac{x}{10}\\\\\dfrac{10}{18}=\dfrac{x}{10}\\\\18x=100\\x=\dfrac{100}{18}=5.555\ldots=5.\overline{5}[/tex]
So, none of the choices are correct (5.5 is an approximation).
solve for K
7K-6
2K+14
What is the approximate area
Answer:
2827.43in²
Step-by-step explanation:
formula for area of a circle is r²π with r being the radius (30 in this case)
we can plug in 30 for r to solve for the area
30²π
900π
2827.43
that is the answer
- kan academy advance
Find the median of the following data : 9, 15, 17, 18,6, 20, 8, 5, 18, 18, 10, 5, 14, 12, 10, 7
A. 15
B. 18
C. 12
D. 11
Answer:
The median is 11.
Explanation:
Add the middle values to calculate the mean, then divide this by 2. That gives you 11.
How many times larger than (6 - 4) is (6 - 4) × 5?
Answer:
5 times bigger
Step-by-step explanation:
(6-4) = 2
(6-4) x 5 = 10
A boat is 100 m from the bottom of a 75 m high cliff. Determine the angle of elevation
from the boat to the top of the cliff. (Round to the nearest degree.)
What is the measure of angle ACB
What is the measure of the arc from A to B not passing through C?
student can work no more than 23 hours
per week.
2. The tutoring center requires that each
tutor spend at least two hours per week
tutoring.
3. The tutoring center requires that each
tutor spend no more than seven hours pers
week tutoring.
Answer:
See below ~
Step-by-step explanation:
We need to represent the situations as inequalities.
===============================================================
Students can work no more than 23 hours per week
⇒ Let the hours per week be x
⇒ 'no more than' refers to less than or equal to (≤)
⇒ x ≤ 23
=============================================================
Tutors are required to spend at least 2 hours per week
⇒ At least refers to greater than or equal to (≥)
⇒ x ≥ 2
============================================================
Tutors should spend no more than 7 hours per week
⇒ As mentioned before, no more than refers to less than or equal to (≤)
⇒ x ≤ 7
ae need inequalities
#1
No more than means maximum
h≤23#2
At least means minimum
h≥2#3
No more than is maximum
h≤7
Follow the directions to solve the system of equations by elimination.
8x + 7y = 39
4x – 14y = –68
Multiply the first equation to enable the elimination of the y-term.
Add the equations to eliminate the y-terms.
Solve the new equation for the x-value.
Substitute the x-value back into either original equation to find the y-value.
Check the solution.
The solution to the system of equations is?
Answer:
X= 1/2 Y= 5
Step-by-step explanation:
8x+7y=39-------------(1)--------×2
4x-14y= -68-----------(2)-------×1
16X + 14Y = 78--------(3)
4X- 14Y = -68----------(4)
Addy equation (4) and (3)
20X = 10
dividing bothsides by 20
20X/20= 10/20
X = 1/2
substitute the value of X into equation (1)
8X+7Y = 39
8(1/2)+7Y= 39
4+7Y = 39
7Y = 39-4
7Y = 35
dividing bothsides 7
7Y= 35/7
Y = 5
Combine the radicals 9√x-3√x-
06
O 6√x
O-6√2x
0-6
Answer:
6√x
Step-by-step explanation:
9√x - 3√x = 6√x
Which statements describe organic compounds
1+1
Organic compounds are commonly found in living things.
Organic compounds contain carbon.
Organic compounds are found in food.
What are the properties of organic Compounds?Organic compounds are defined as compounds that consist of groups of carbon atoms covalently bonded to hydrogen, oxygen, and sometimes other elements too.
Now, organic compounds are created by living things and so they are found throughout the world, in soils and seas, commercial products, and every cell of the human body.
Looking at the options and comparing to the definition above, only options A, C and E are correct.
The missing options are;
Organic compounds are commonly found in living things.
Organic compounds are not associated with or made from living things.
Organic compounds contain carbon.
Organic compounds usually lack carbon.
Organic compounds are found in food.
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Automobile insurance with the split limits 200/300/400 will cover up to how much in bodily injury per person?
Automobile insurance with the split limits 200/300/400 will cover up to $200,000 in bodily injury per person.
What is Insurance?This is a form of protection from financial loss and is used as a means of risk management.
$200,000 medical bodily injury coverage per person, $300,000 bodily injury coverage for the entire accident and $400,000 total property damage limits.
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Find the value of h(-7) for the function below.
h(x) = 5.7 −19x
A.
0.67
B.
-138.7
C.
-127.3
D.
138.7
The input value of the function h(-7) for h(x) = 5.7 - 19x is -26.6.
How to find the input value of a Function?We are given the function;
h(x) = 5.7 - 19x
Thus;
h(-7) = 5.7 - 19(1.7)
h(-7) = 5.7 - 32.3
h(-7) = -26.6
Thus, we conclude that the input value of the function h(-7) is -26.6.
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Can I get some help please
The answer is C , because the ends of the line are going from negative infinity to positive infinity
The volume of a cylinder is 63pi cm cubed. If the radius is 3 cm, what is the height of the cylinder?
Answer:
height of a cylinder = V/ πr2. = 5.002 units.
Step-by-step explanation:
correct me if i wrong