The height of the mountain using the angles of elevation is 2.346 miles
How to find the height of the mountain using angle of elevation?let
x = distance from the mountain to your current position
h = height of the mountain
Therefore, using trigonometric ratios,
angle of elevation of the current position to the mountain = 8°
angle of elevation of the former position to the mountain = 4.5°
Therefore,
tan ∅ = opposite / adjacent
where
∅ = angle of elevation
tan 8 = h / x
tan 4.5 = h / x + 13
Hence,
x tan 8 = h
(x + 13) tan 4.5 = h
using substitution,
x tan 8 = (x + 13) tan 4.5
x tan 8 = x tan 4.5 + 13 tan 4.5
0.1405408347x = 0.07870170682x + 1.02312218872
0.1405408347x - 0.07870170682x = 1.02312218872
0.0613x = 1.02312218872
x = 1.02312218872 / 0.0613
x = 16.6900489396
x = 16.690 miles
Therefore,
h = 16.6900489396 × tan 8
h = 16.6900489396 × 0.1405408347
h = 2.34561947798
h = 2.346 miles.
Therefore, the height of the mountain using the angles of elevation is 2.346 miles
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(4x-1)(3x^2+3x-5) (4x−1)(3x 2 +3x−5)
Hi.
Answer:
[tex]\left(4x-1\right)^2\left(3x^2+3x-5\right)^2[/tex]
Step-by-step explanation:
[tex](aa=a^2) \left(4x-1\right)\left(4x-1\right)=\left(4x-1\right)^2\\=\left(4x-1\right)^2\left(3x^2+3x-5\right)\left(3x^2+3x-5\right)\\\left(3x^2+3x-5\right)\left(3x^2+3x-5\right)=\left(3x^2+3x-5\right)^2\\=\left(4x-1\right)^2\left(3x^2+3x-5\right)^2[/tex]
A straight line segment is drawn from A to C as shown at the right.
If AB=2x-4, BC= 4x + 12, and AC = 32, find .x.
Answer:
Step-by-step explanation:
just need points dont mind me
11. There are 106 nails in one pound of 8d com-
mon nails. How many are in a 50-pound box?
Answer:
5300
Step-by-step explanation:
Slope please help algreab 1
Answer:
1/2x-2
Step-by-step explanation:
sise over run and then graph on desmos
Answer:
y = [tex]\frac{1}{2}[/tex] x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, 1 ) and (x₂, y₂ ) = (- 6, - 5 )
m = [tex]\frac{-5-1}{-6-6}[/tex] = [tex]\frac{-6}{-12}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (6, 1 )
1 = 3 + c ⇒ c = 1 - 3 = - 2
y = [tex]\frac{1}{2}[/tex] x - 2 ← equation of line
On a number line, point A is located at 9 and point B is located at -5. What is AB?
Answer:
14
Step-by-step explanation:
Im pretty sure its 14
so point A is at -5 which is here
-5 -4 -3. -2. -1. 0. 1. 2. 3. 4. 5. 6. 7. 8. 9
A
and point B is located here
-5 -4 -3. -2. -1. 0. 1. 2. 3. 4. 5. 6. 7. 8. 9
A B
the distance would be:
-5+5= 0 ( the bold numbers are the ones you add together)
then
0+9=9
so 5+9= 14
leila is buying a dinosaur model. the price of the model is x dollars, and she also has to pay a 7%7\%7%7, percent tax.
This problem is associated with linear equations. The total price will be 1.07x dollars.
What is a linear equation?There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.
Given,
Leila is buying a replica of a dinosaur.
The model is priced at x dollars, plus she must pay a 7% tax.
7% is shown in decimal form.
= 0.07
Tax price = 0.07 times the model's cost
= 0.07x
Total cost Leila pays for the model by adding the tax price to the model's cost.
Combining the values in the aforementioned
Leila pays the model a total of 0.07x + x.
= 1.07 in currency
As a result, Leila pays a total of 1.07 for the model.
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What is the value of −3 + |−17|?
20
14
−14
−20
Answer:
b) 14
Step-by-step explanation:
Given problem,
→ -3 + |-17|
Let's solve the problem,
→ -3 + |-17|
→ -3 + 17
→ 14
Hence, the answer is 14.
Solve the inequality for x and identify the graph for its solution |x+3|>2
Answer:
Inequality Form:
x<−5 or x>−1
Interval Notation:
(−∞,−5)∪(−1,∞)
Step-by-step explanation:
The bar graph displays data on the numbers of babies born each day of the week in the United States in a recent week.
All data in the graph are approximate.
Which of the following choices gives the most complete description of the information presented in the bar graph?
Births occurred with similar frequencies on the week days (Monday through Friday), but with noticeably smaller frequencies on the weekend days (Saturday and Sunday).
Births occurred with similar frequencies, regardless of the day of the week.
Births occurred with the lowest frequency on Sundays.
The minimum number of births appears to be approximately 7000, which occurred on Sunday. The maximum number of births appears to be approximately 13,000, which occurred on Tuesday.
Week day births seem to be twice as common as weekend births.
The correct statements regarding the given bar graph are given as follows:
Births occurred with similar frequencies on the week days (Monday through Friday), but with noticeably smaller frequencies on the weekend days (Saturday and Sunday).Births occurred with the lowest frequency on Sundays.The minimum number of births appears to be approximately 7000, which occurred on Sunday. The maximum number of births appears to be approximately 13,000, which occurred on Tuesday.What does a bar graph show?A bar graph shows the number of times that each observation appears in the data-set.
Hence, from this bar graph, we have that the average number of births per day, from Sunday to Saturday.
Births are more common during weekdays, the close to 7000 on Sunday, the maximum is close to 13000 on Tuesdays, hence the correct statements are given as follows:
Births occurred with similar frequencies on the week days (Monday through Friday), but with noticeably smaller frequencies on the weekend days (Saturday and Sunday).Births occurred with the lowest frequency on Sundays.The minimum number of births appears to be approximately 7000, which occurred on Sunday. The maximum number of births appears to be approximately 13,000, which occurred on Tuesday.From the bar graph, the biggest ratio is of 13/7 < 2, hence week day births are not quite twice as common.
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Does the figure above appear to have rotational symmetry?if yes, select the angles of rotation less than 360°
(4x² – 11x³ – 13x² +96x
+52) ÷ (4x + 9)
The remainder of the given equation:
(4x² – 11x³ – 13x² +96x+52) ÷ (4x + 9)
= - 5393/64
Polynomial long division:Long-division polynomials are algorithms that divide polynomials by polynomials of the same or lower degree. As with the long division method of numbers, the divisor, quotient, dividend, and remainder are all part of the long division of polynomials.
what are the four steps in polynomial long division?When a divisor has more than one term or is a polynomial with more than one term, the four stages used to divide whole numbers (divide, multiply, subtract, bring down the next term) comprise the repeated operation for polynomial long division.
According to the given data:(4x² – 11x³ – 13x² +96x+52) ÷ (4x + 9) given.
Simplifying the equation:
(4x² – 11x³ – 13x² +96x+52)
(-11x³ - 9x² + 96x + 52)
Applying Polynomial long division:
(-11x³ - 9x² + 96x + 52)÷ (4x + 9)
[tex]$-\frac{11}{4} x^2+\frac{63}{16} x+\frac{969}{64}$[/tex]
(4x + 9)√(-11x³ - 9x² + 96x + 52)
-11x³ -(99/4)x²
-------------------------------------
(63/4)x² + 96x
(63/4)x² + (567/16)x
----------------------------------
(969/16)x + 52
(969/16)x - 8721/64
-------------------------------------------
- 5393/64
The remainder of the given equation:
(4x² – 11x³ – 13x² +96x+52) ÷ (4x + 9)
= - 5393/64
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after finishing her shift, a waitress wrote 2.5 under “hours worked” on her time card. How long did she work?
Answer:
if it says 2.5 that mean 2 hours and 5 minutes
Answer:
Two hours and 30minutes
Step-by-step explanation:
What is the answer ?????
Answer:70/100
Step-by-step explanation: 100/100 is 100% so with that logic 70/100 would mean 70%
PLEASE HELP ASAP!! WILL MARK BEAINLIEST
Answer:
1. x = 2/3y + 8/3
2. x=−y+1
Step-by-step explanation:
Solve for x
3x−2y=8
Add 2y to both sides.
3x−2y+2y = 8+2y
3x=2y+8
Divide both sides by 3.
3x/3 = 2y+8/3
x = 2/3y + 8/3
Answer:
x = 2/3y + 8/3
#2
solve for x.
x+y=1
Add -y to both sides.
x+y+−y=1+−y
x=−y+1
Answer:
x=−y+1
solve for y.
x+y=1
Add -x to both sides.
x+y+−x=1+−x
y=−x+1
Answer:
y=−x+1
Sorry if this is too much
What is the image of the point
(
0
,
4
)
(0,4) after a rotation of
18
0
∘
180
∘
counterclockwise about the origin?
The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4).
According to the statement
We have to find that the coordinates after the rotation.
So, For this purpose, we know that the
Rotation means a degree is being moved in clockwise or counterclockwise direction with some angle.
From the given information:
The point is a (0,4)
The rotation is drained 90, 180, 270 degrees.
Given point is:(0,4)
When some extent (x,y) is rotated 180° counter clockwise its coordinates become (-x,-y) the negative of original point.
So for the given point the coordinates will become (-0,-4)
Then,The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4)
So, The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4)
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The ratio of cars to trucks in a parking lot is 5 cars to 3 trucks. there are 30 cars in the parking lot. how many trucks are in the parking lot
If the ratio of cars to truck in a parking lot is 5:3 and the total number of cars is 30, then the total number of truck in the parking lot is 18
Given,
The ratio of cars to truck in the parking lot = 5:3
Total number of cars in the parking lot =30
Then, the equation will be
5x=30
x=6
Then, the number of tucks in the parking lot =3x
3×6=18
Hence, if the ratio of cars to truck in a parking lot is 5:3 and the total number of cars is 30, then the total number of truck in the parking lot is 18
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5. Given the points A(-3, -4) and B(2, 0), find the coordinates of the point P on
directed line segment AB that partitions AB in the ratio 1 to 4.
The correct answer is (x,y)=(-1,-2.4)
The coordinates are a pair of numbers that, using the horizontal and vertical lines, precisely pinpoint a point's location on a cartesian plane. typically represented by (x, y), the point's x and y values on a graph. Every point or an ordered pair comprises two coordinates.
The x coordinate, also known as the abscissa, is the first, and the y coordinate, also known as the ordinate. Any real number, whether positive or negative, can represent the coordinates of a point.
We have given the point
A(-3,-4) and B(2,0)
(x1,y1)=(-3,-4)
(x2,y2)=(2,0)
As P divided line segment AB in the ratio 2 to 3
m/n=2/3
x=(mx2+nx1)/m+n
x=(2)(2)+(3)(-3)/2+3
x=4-9/5
x=-5/5
x=-1
y=(my2+ny1)/m+n
y=(2)(0)+(3)(-4)/2+3
y=0-12/5
y=-12/5
y=-2.4
(x,y)=(-1,-2.4)
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For every left handed person, rhere are about 4 right handed people. If there are 30 students in a class, predoct the number of students who are right handed
Answer:
4 right handlers for everytime 5 people
solution:
4/5. = x/30
x = (4)(30)/5
x= 24
there are 24 right handed people
Step-by-step explanation:
I am left handed so I know this is true :)
A teacher can spend as much as $140.00 to take students to a movie. A movie
theater charges a $15.00 group fee and $7.25 per ticket.
о Set uр аn Едиation:
How many students can
teacher
the
take to the movie?
Answer:
17 students
Step-by-step explanation:
140-15=125
125/7.25=17.2....
rounded to 17
find an equation, or a set of equations, to describe the set of points that are equidistant from the points p(−8, 0, 0) and q(−2, 0, 0).
The plane is defined by the equation, x = -3.
What do we mean by equations?A mathematical statement made up of 2 expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value for the variable x as x = 7 after solving this equation.To find the equation:
The distance from p(-9, 0, 0) seems to be:
d = sqrt((x+9)² + y² + z²)The separation from q(3,0,0) would be:
d = sqrt((x-3)² + y² + z²)Let's make them the same size as follows;
sqrt((x+9)² + y² + z² ) = sqrt((x-3)² + y² + z² )Square both sides before simplifying:
(x+9)² + y² + z² = (x-3)² + y² + z² x² + 18x + 81 + y^2 + z^2 = x^2 - 6x + 9 + y² + z² 18x + 81 = - 6x + 9 24x + 81 = 9 24x = -72 x = -3Therefore, the plane is defined by the equation, x = -3.
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The complete question is given below;
Find an equation, or a set of equations, to describe the set of points that are equidistant from the points p(−9, 0, 0) and q(3, 0, 0). (enter your answers as a comma-separated list of equations.)
13. Find the coordinate for the point that is 1/6 the
distance from A to B.
A
-5
B
37
Can someone please help me.
Answer:
you what do u need help with?
Which of the following expressions is equivalent to 32x − 3?
the quantity 9 to the power of x end quantity over 27
the quantity 6 to the power of x end quantity over 9
the quantity 2 to the power of x end quantity over 3
the quantity 1 to the power of x end quantity over 9
The expressions which is equivalent to the given expression; 3^(2x -3) is; the quantity 9 to the power of x end quantity over 27.
Equivalent expressionIt follows from the task content that the equivalent expression as in the task content can be determined by the laws of Indices as follows;
3^(2x -3)
= 3^(2x) × 3-³
= (3²)^x × 1/3³
= 9^(x) × 1/27
= 9^(x)/27.
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The expression that is equivalent to 3^(2x - 3) is; Option A: the quantity 9 to the power of x end quantity over 27.
How to use Law of Indices?Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base.
Now, we are given the expression as 3^(2x - 3). This can be broken down into; 3^(2x) × 3⁻³
Now, according to laws of indices;
3^(2x) = (3²)ˣ
Thus, we now have;
= ((3²)ˣ)/3³
= 9ˣ/3³
= 9ˣ/27
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What is the range?
0-5 -6 -4 -3
Answer: 2 I think
Step-by-step explanation:
What is the equation of the line that is perpendicular to
the given line and has an x-intercept of 6?
O y = -x + 8
O y = -x + 6
Oy=x-8
Oy=x-6
The equation of the line that is perpendicular to the given line y = x + 6 and has an x-intercept of 6 is B. y = -x + 6.
A line is plotted on the cartesian plane and is straight, thus named a straight line. A straight line is a two-dimensional geometrical figure.
Given the line:
y = x + 6
Compare the equation with
y = mx + c,
m = 1 and c= 6.
As it is given that the new line is perpendicular to the old one, then
the slope of the new line, m' [tex]= -\frac{1}{m} = -\frac{1}{1} = -1[/tex].
As the x-intercept is 6, c' = 6.
So, the equation of the new line is
y = m'x + c'
y = -x + 6
Therefore, the new line is y = -x + 6.
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The complete question is as follows:
What is the equation of the line that is perpendicular to
the given line and has an x-intercept of 6?
y = x + 6
A. y = -x + 8
B. y = -x + 6
C. y = x - 8
D. y = x - 6.
Reflect ABC over the y-axis and then translate by
(2, -3).
Answer:
just flip it
Step-by-step explanation:
3. You have $2.75. You want to buy trading cards that cost $0.25 each.
How many can you buy?
Question:
You have $2.75. You want to buy trading cards that cost $0.25 each.
How many can you buy?
Answer:
11 trading cards
Step-by-step explanation:
If you do 2.75 ÷ 0.25 you would get 11 and to check the answer you could simply multiply you would do 0.25 x 11 to get the answer 2.75.
I hope it helps you!
~XxBells is a cute girlxX~
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Given 33.8 × 2.5, find the product.
84.5
Step-by-step explanation:Multiply 338 ✖ 25The answer is 2450.Jump the decimal two times from one's placeThe answer will be 84.5Which technique most clearly minimizes the likelihood that any outcome differences between the experimental and control conditions can be attributed to age or personality differences in research participants?.
The technique that most clearly minimizes the likelihood that any outcome differences between the experimental and control groups is e. random assignment.
What is random assignment?A methodology used to divide research participants into two groups—the treatment group, also known as the experimental group, and the control group—by randomization is known as random assignment, also known as random placement.
Every research volunteer has an equal chance of being assigned to any of the groups thanks to this randomization mechanism.
In studies, random assignment is a method used to divide participants into different research groups with similar characteristics so that the groups are equal at the start of the investigation.
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Which technique most clearly minimizes the likelihood that any outcome differences between the experimental and control groups can be attributed to age or personality differences in research participants?
a. the double-blind procedure
b. statistical measurement
c. replication
d. operational definitions
e. random assignment
Consider the line that passes through the point P(-1,-1) and is parallel to the line x-y=7. Write the point slope equation of the line. Use exact values.
Answer: y=x
Step-by-step explanation:
[tex]x-y=7\\x-y+y=7+y\\x=7+y\\x-7=7+y-7\\x-7=y[/tex]
The line that parallel to the line x-y=7 is:
[tex]y=x+b[/tex]
The line that passes through the point P(-1,-1), hence:
[tex]-1=-1+b\\-1+1=-1+b+1\\0=b\\Thus,\\y=x+0\\y=x[/tex]