From the calculation, you are 100 m away from the plateau.
What is the angle of elevation?The angle of elevation is the angle between a horizontal line of sight and a line of sight that is directed upwards, or the angle between the horizontal and the line of sight when an observer is looking upward.
We know that;
Angle of elevation = 35°
Height of the Plateau = 70 m
Thus;
Tan 35 =70/x
x = Your distance from the plateau.
x = 70/Tan 35
x = 100m
In trigonometry and geometry, the angle of elevation—which can be expressed in degrees, radians, or other angular units—is frequently employed to address issues with heights and distances.
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Your friend claims a rhombus will never have congruent diagonals because it would have to be a rectangle if it did. Is your friend correct? Explain your reasoning.
No, your friend is not correct. A rhombus can have congruent diagonals. A rhombus is a parallelogram with four congruent sides.
The diagonals of a rhombus bisect each other at right angles. Thus, the diagonals of a rhombus can be congruent if they are equal to each other and intersect at right angles.A rectangle is also a parallelogram with four right angles. It has two pairs of congruent sides and its diagonals are equal to each other. So, a rhombus does not need to be a rectangle to have congruent diagonals. They are distinct shapes in Euclidean geometry. Thus, a rhombus may have congruent diagonals while being a rhombus and not a rectangle.More than 250
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Hannah cut straws of different lengths. Straw A had a length of 6 cm, Straw B had a length of 6 cm, and Straw C had a length of 2 cm. Can Hannah place these three straws together to form a triangle?
Answer:
Yes
Step-by-step explanation:
I see no mathematical reason this could not happen. It has three sides which is what makes a triangle.
Anna model airplane, the scale is 5 cm equals 2 m. If the models wingspan is 28.5 centimeters camera what is the actual wingspan?
Answer:
11.4 m
Step-by-step explanation:
2m / 5 cm * 28.5 cm = 11.4 m
Determine the equation of each line.
B.) slope of 1/2, through (4,-4)
Answer:
y = 1/2 x - 6
Step-by-step explanation:
y = mx + b
y = (1/2)x + b
-4 = (1/2) × 4 + b
-4 = 2 + b
b = -6
y = 1/2 x - 6
The answer is:
\(\rm{y=\dfrac{1}{2} x-6}\)
Work/explanation:
Given the slope and a point on the line, we can write the equation in point slope form, which is:
\(\rm{y-y_1=m(x-x_1)}\)
Where m is the slope and (x₁, y₁).
Plug the data in the formula:
\(\rm{y-(-4)=\dfrac{1}{2}(x-4)}\)
Simplify:
\(\rm{y+4=\dfrac{1}{2} (x-4)}\)
Now focus on the right side & simplify it :
\(\rm{y+4=\dfrac{1}{2}x-2}\)
Finally, subtract 4 on each side:
\(\rm{y=\dfrac{1}{2} x-2-4}\)
Simplify:
\(\rm{y=\dfrac{1}{2} x-6}\)
This is our equation in slope intercept form.
Therefore, the answer is y = 1/2x - 6.need help on finding the perimeter in feet
Answer:
30 ft
Step-by-step explanation:
7.5 + 12.5 + 10 = 30 ft
Find the set A' UC'. 3 U={1, 2, 3, 4, 5, 6, 7} A= {1, 2, 3, 5) C = {1, 2, 3, 6, 7} Select the correct choice below and, if necessary, fill in the answer box to complete your choice
The set A' UC is the set of all elements that are in A or C but not in both. In this case, the set A' UC is {5}.
To find the set A' UC, we can use the following steps:
Find the intersection of A and C. This is the set of all elements that are in both A and C. In this case, the intersection is {1, 2, 3}.
Subtract the intersection from U. This gives us the set of all elements that are in U but not in A or C. In this case, the set is {4, 5, 6, 7}.
Add the elements of A that are not in the intersection to the set from step 2. This gives us the set of all elements that are in A or C but not in both. In this case, the set is {5}.
It is important to note that the set A' UC is not the same as the union of A and C. The union of A and C is the set of all elements that are in A or C or both. In this case, the union of A and C is {1, 2, 3, 4, 5, 6, 7}.
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Jayla and Hailey were paying a dinner check, but they were not sure how much they should tip for their bill of $25.50. If a 12% tip is standard, about how much should they leave for the server?
Answer:
tip total $4
tip per person $2
total (bill plus tip) $29.
total each person $15
Step-by-step explanation:
what is the sum of each distinct prime factor of 9999?
The distinct prime factors of 9999 are 3, 11, and 101. So the sum of each distinct prime factor of 9999 is 115.
To find the sum of the distinct prime factors of 9999, we first need to factorize 9999 into its prime factors.
9999 can be factorized as follows:
9999 = 3 * 3333
= 3 * 3 * 1111
= 3 * 3 * 11 * 101
So, the distinct prime factors of 9999 are 3, 11, and 101.
The sum of these distinct prime factors is:
3 + 11 + 101 = 115
Therefore, the sum of each distinct prime factor of 9999 is 115.
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what is the volume of the prism
Answer:
36 unit cubed
Step-by-step explanation:
V = b * h * l
V = 6 * 3 * 2
V = 36
4x + (-3) = -11
What is my answer can You please help me
Answer:
-2
Step-by-step explanation:
Let's solve your equation step-by-step
4x−3=−11
Step 1: Add 3 to both sides
4x−3+3=−11+3
4x=−8
Step 2: Divide both sides by 4
4x
4
=
−8
4
x=−2
Answer:
\(4x + ( - 3) = - 11 \\ 4x (- 3) = - 11 \\ 4x = - 11 + 3 \\ 4x = - 8 \\ x = \frac{ - 8}{4} \\ x = - 2\)
Rip van Winkle fell asleep for a very long time. When he fell asleep, his beard was 888 millimeters long, and each passing week it grew 222 additional millimeters.
Graph the relationship between the length of Rip van Winkle's beard (in millimeters) and time (in weeks).
If his beard was 8 millimeter long and each passing week it grew 2 additional millimeters, the graph that represents the relationship between the length of his beard in millimeter and time in week has been plotted
The initial length of the beard = 8 millimeter
The length of beard grow in each week = 2 millimeter
Consider the number of week as x
Therefore the linear relationship will be
The length of the beard y = 2x + 8
Plot the graph using the equation
Hence, If his beard was 8 millimeter long and each passing week it grew 2 additional millimeters, the graph that represents the relationship between the length of his beard in millimeter and time in week has been plotted
The complete question is
Rip van Winkle fell asleep for a very long time. When he fell asleep, his beard was 8 millimeters long, and each passing week it grew 2additional millimeters.
Graph the relationship between the length of Rip van Winkle's beard (in millimeters) and time (in weeks).
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What i the equation of a line that i parallel to the line y =2x 7 and pae through the point -2,4
The equation of a line y=2x+8.
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis
Looking at the given line,
y = 2x + 7
Compared with the slope-intercept equation,
Slope, m = 2
If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2
Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes
4 = 2 × - 2 + c
4 = - 4 + c
c = 4 + 4 = 8
The equation becomes y=2x+8.
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Simplify each trigonometric expression. cscθ-cos θ cotθ
The simplified form of the trigonometric expression cscθ - cosθ cotθ is cscθ - 1.
To simplify the given expression, let's start by expressing each trigonometric function in terms of sine and cosine. The reciprocal of the sine function is the cosecant function (csc), and the reciprocal of the tangent function is the cotangent function (cot).
cscθ - cosθ cotθ can be written as cscθ - cosθ (cosθ/sinθ).
To simplify further, we can combine the terms with a common denominator. The common denominator is sinθ, so we need to multiply cscθ by sinθ to get a common denominator.
This gives us (1/sinθ)(sinθ) - cosθ (cosθ/sinθ).
Now, simplifying the expression, we have 1 - \(cos^2(Θ)/sinΘ.\)
Using the trigonometric identity sin^2θ + cos^2θ = 1, we can replace cos^2θ with 1 - sin^2θ.
Substituting, we get \(1 - (1 - sin^2θ)/sinθ.\)
Simplifying further, we have \(1 - 1/sinθ + sin^2θ/sinθ.\)
Finally, combining the terms, we get 1 - cscθ + sinθ.
Therefore, the simplified form of cscθ - cosθ cotθ is cscθ - 1.
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“A Wok in the Park” charges a $100 set-up fee plus $12.50 per person. “Chop Chop Catering” charges $15 dollars per person.
Write a equation in the form y=mx+b for both companies
Answer:
y = $100 + $1.50x
y = $15x
Step-by-step explanation:
Given that :
A Wok in the Park charges :
Setup fee =$100 ; per person = $12.50
Chop Chop Catering charges :
$15 per person
Writing equation for the amount charged by the 2 services in the form :
y = mx + c ;
A Wok in the Park ;
Setup fee =$100 = c = intercept ; per person = $12.50 = slope = m
y = $100 + $1.50x
Where x = number of persons. ; y = amount charged
Chop Chop Catering charges :
$15 per person
y = 0 + $15x
y = $15x
x = number of persons. ; y = amount charged ; intercept (c) = $0
hii i’ll give brainliest please help thanks :)
Answer:
85
Step-by-step explanation:
Answer:
its 85
Step-by-step explanation:
Triangles 2.0........
Answer:
triangle STU and WEK are CONGRUENT
ST=WK SIDE OF A CONGRUENT TRAINGLE ARE EQUAL
2M=N.....1
SU=WE
3M+5=N+8
3M+5=2M+8
3M-2M=8-5
M=3
NOW
N=2M=2×3=6CM
TU=WK=N=6CM.
You complete two events of a triathlon. Your goal is to finish with an overall time of less than 100 minutes.
a. Select an inequality that represents how many minutes x
you can take to finish the running event and still meet your goal. Then solve the inequality.
18. 2+45. 4+x<100
18. 2
+
45. 4
+
x
<
100
18. 2+45. 4+x<100
18. 2
+
45. 4
+
x
<
100
x+18. 2+45. 4≤100
x
+
18. 2
+
45. 4
≤
100
x plus 18 point 2 plus 45 point 4 is less than or equal to 100
18. 2+x+45. 4>100
18. 2
+
x
+
45. 4
>
100
18 point 2 plus x plus 45 point 4 is greater than 100
45. 4+18. 2+x≥100
45. 4
+
18. 2
+
x
≥
100
45 point 4 plus 18 point 2 plus x is greater than or equal to 100
Question 2
The solution is.
Question 3
b. The running event is 3. 1 miles long. Suppose it takes you 8 minutes to run a mile. Would this time allow you to reach your goal? Explain your reasoning.
At 8 minutes per mile, it would take you minutes to run 3. 1 miles.
Question 4
You meet your goal because your total running time added to your swimming and biking times less than 100 minutes.
23 of 24 answered
check answer
Since 24.8 minutes is less than 36.4 minutes, you would still meet your goal because your total running time added to your swimming and biking times is less than 100 minutes.
The inequality that represents how many minutes x you can take to finish the running event and still meet your goal is: 18.2 + 45.4 + x < 100. To solve for x, we need to isolate it on one side of the inequality:
18.2 + 45.4 + x < 100
x < 100 - 18.2 - 45.4
x < 36.4
Therefore, you can take no more than 36.4 minutes to finish the running event and still meet your goal of finishing with an overall time of less than 100 minutes.
For question 3, if it takes 8 minutes to run a mile and the running event is 3.1 miles long, it would take you 24.8 minutes to complete the running event. This time is less than the maximum time of 36.4 minutes that you can take to still meet your goal, so yes, this time would allow you to reach your goal.
For question 4, the statement is just reiterating the goal mentioned in the first sentence, that your overall time for all three events must be less than 100 minutes. It confirms that you have met your goal by stating that your total running time added to your swimming and biking times is less than 100 minutes.
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Solve for xxx. Your answer must be simplified. 7>x/4
Answer:
28>x
Step-by-step explanation:
7>x/4
remove the denominator by multiplying both sides by 4
4×7>x/4×4
28>x
how many area codes (abc) would be possible if all three digits could be any value 1-9? question 5 options: 27 30 729 1,000
Answer:729
Step-by-step explanation:someone else said it
Check the number or numbers that are in the solution set of the equation
below.
7x > 42
A. 14
B. 5
C.35
D. 6
E. 12
F9
Answer:
A, C, E, F
Step-by-step explanation:
when you multiply the numbers with 7 the answer is greater than 42
Can somebody plz help tell me how to find the people who surveyed like where do u find it? Thx!
WILL MARK BRAINLIEST WHOEVER CAN HELP WITH THIS :DDD
instrument for recording the number of steps in walking
parameter
odometer
pedometer
centimeter
Answer:
Step-by-step explanation:
Pedometer
HELP answer and explanation!
Answer:
Step-by-step explanation:
in an enlargement PQ P1Q1|PQ|=3cm and|P1Q1|=15cm.Calculate the scale of the enlargement.
Answer:
374795-57770
Step-by-step explanation:
Abby uses
if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen?
There are 69300 possible ways of selecting six bottles randomly with two bottles of each variety.
Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. In the given question, we have to select 6 bottles randomly with two bottles of each variety,
= ¹⁰C₂× ⁸C₂ × ¹¹C₂
¹⁰C₂= [1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10] / [(1 × 2)(1 × 2 × 3 × 4 × 5 × 6 × 7 × 8)]
= 90/2
= 45
Similarly, ⁸C₂ = 28
In the same way ¹¹C₂= 55
= ¹⁰C₂× ⁸C₂× ¹¹C₂
= 45 × 28 × 55
= 69300
Therefore, there are 69300 possible ways of selecting 6 bottles with two bottles of each variety.
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It take 4 people 40 minutes to clean a garden. How long will it take 6 people to clean the same garden
Answer:
4/9 of an hour (26.666 minutes)
Step-by-step explanation:
4 * x * 40/60 = 1
x * 160/60 = 1
x=60/160 = 6/16 = 3/8 (this is the rate for one worker)
~~~~~~~~~~~~~~~~
6 * (3/8) * x = 1
x = 4/9
what is the max height of n=-1t^2+2t+8
The maximum height of the function is 9
How to determine the maximum height?The equation of the function is given as:
n=-1t^2 + 2t + 8
Differentiate the function
n' = -2t + 2
Set to 0
-2t + 2 = 0
Subtract 2 from both sides
-2t = -2
Divide both sides by -2
t = 1
Substitute t = 1 in n=-1t^2 + 2t + 8
n=-1(1)^2 + 2(1) + 8
Evaluate
n=9
Hence, the maximum height of the function is 9
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A line's slope is 1/5 the y-intercept is 5. What is the equation in slope-intercept form?
Answer: y = 1/5x+5
Step-by-step explanation: Slope intercept form is y = mx+b, where m is the slope, and b is the y intercept. Substitute accordingly.
PLEASEE HELPP During a snowstorm, snow fell at a constant rate for a number of hours. Then it stopped snowing for a number of hours. Then it started up again at a different constant rate. Aaliyah made a graph showing the inches of snow on the ground over time using the data that she collected.
Answer:
5 hours
Step-by-step explanation:
the graph shows that the amount of snow on the ground did not change from the 6th hour to the 11th, 11-6=5
In the given situation snow stopped for 5 hours when the graph is constant.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
If we observe the given graph where the y-axis represents the height of snow in inches and the x-axis represents the time in hours it snowed for.
The graphs stop increasing from x = 6 to x = 11 or remain constant.
∴ The snow stopped for (11 - 6) = 5 hours.
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>…_~§-+*First Answer Gets Brainliest*+-§~_…<
Questions In the picture!
Answer:
where is the pic?? i dont see it
Step-by-step explanation:
Answer:
yes just yes, Yes
Step-by-step explanation:
yes yes