Cartographers use trigonometry for topographic mapping, while navigators use it to direct navigation, helping to identify location and distance.
Surveyors, on the other hand, use trigonometry to measure spatial data, such as height and angles of the land and urban and rural georeferencing.
How important is trigonometry?Trigonometry studies the relationships between the sides and angles of a triangle. This calculation instrument is used for studies in various fields of scientific knowledge, such as the study of phenomena in mechanics, engineering and medicine.
Therefore, there are several applications for trigonometry in social daily life, being an instrument that helps in obtaining scientific knowledge and development of society.
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Answer:
This was my answer, I did a lot of research for it
Step-by-step explanation:
According to wonderworksonline.com, "cartographers use the laws of plane trigonometry". This is used for topographical mapping which is a map that includes detailed, accurate landmarks.
Navigators use trigonometry to find directions. According to byjus.com, "with the help of a compass and trigonometric functions in navigation, it will be easy to pinpoint a location and also to find distance as well to see the horizon."
Trigonometry is used in land surveying to measure to height and angles of the land. According to prezi.com, "it can be used to measure the elevation from a certain point to a mountain, the distance between two trees, and distances across lakes."
Another profession that uses trigonometry is astronomy. Trigonometry is used to measure the distance between stars and planets. According to mytutor.co.uk, "this mathematical technique is also used by NASA scientists today when they design and launch space shuttles and rockets."
Trigonometry plays an important part in our everday lives. Without trigonometry, we wouldn't have GPS to navigate us. Trigonometry is also used by flight engineers to decide take off paths. Trigonometry is also used in the medical field for ultrasounds, the process of building prosthetic legs and arms, and surgeries.
Mayra has 3 cats. Luis has twice as many cats as Mayra.
Write an expression for the number of cats Luis has:
Write an expression for the number of cats Luis and Mayra have together:
2. Each cat eats about ½ cup of cat food a day.
Write an expression for the amount of cat food all the cats eat in one day:
Write an expression for the amount of cat food all the cats eat in one week:
When a red and a white flower reproduce, the chance of their offspring being a red flower is 25%. if five pairs of red and white flowers have offspring
what is the chance that exactly 2 of the flowers are red?
what is the chance that no more than 2 red flowers exist in the offspring?
Answer:
P(2 red in 5 offspring) = 26.4%
P(no more than 2 red flowers) = 65.9%
Step-by-step explanation:
P(red) = 25%
P(white) = 75%
P(2 red in 5 offspring) = 5C2 P(red)*P(red)*P(white)*P(white)*P(white)
= 10 * 0.25 * 0.25 * 0.75 * 0.75 * 0.75 = 26.4%
P(no more than 2 red flowers) = P(1 red in 5 offspring) + P(2 red in 5 offspring)
= 5C1 P(red)*P(white)^4 + 0.2637
= 5 * 0.25 * 0.75* 0.75 * 0.75 * 0.75 + 0.2637
= 0.6592 = 65.9%
Aaron left his house at 10 45 a.m. and arrived at Bharat's house at 1 05 p.m. (e) How long did Aaron's cycle ride take him? Give your answer in hours and minutes.
Answer:
2hours 20minutes
Step-by-step explanation:
hope this helps
The critical value used in a 95% confidence interval for population proportion is
Answer:
A 95% confidence interval for the mean μ of a population is computed from a random sample and found to be 9 ±3. We may conclude that A. there is a 95% probability that μ is between 6 and 12.
Step-by-step explanation:
hope it helps
Before his shopping spree, Jim owned 133
bracelets. Then he bought 138 more
bracelets. What is the ratio of bracelets
purchased to resulting total number of
bracelets?
Answer:
271 to 133
Step-by-step explanation:
Which is the simplified form of the expression StartFraction (6 Superscript negative 4 Baseline) Superscript negative 9 Baseline Over 6 Superscript 6 Baseline EndFraction?
Step-by-step explanation:
The option "StartFraction 1 Over 3 Superscript 8" is correct
That is 138 is correct answer
Therefore [(2−2)(34)]−3×[(2−3)(32)]2=138
Step-by-step explanation:
Given expression is ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline)
What is the product of 2(cos(45°) + i sin(45°)) and 5(cos(30°) + i sin(30°))?
Step-by-step explanation:
short step
(-isin(π/6)+2×5cos(π/6) ei π/4)
I/2+5√3 4√-1
The product of the trigonometric expressions will be 10 (cos 75° + i sin 75°).
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The trigonometric expressions are given below.
2 [cos(45°) + i sin(45°)] and 5 [cos(30°) + i sin(30°)]
Then the product of the trigonometric expressions is given as,
⇒ 2 [cos(45°) + i sin(45°)] × 5 [cos(30°) + i sin(30°)]
⇒ 10 [(cos 45° × cos 30° + sin 45° × sin 30° × i²) + i (sin 45° × cos 30° + cos 45° × sin 30°)]
⇒ 10 [cos (45° + 30°) + i sin (45° + 30°)]
⇒ 10 (cos 75° + i sin 75°)
The product of the trigonometric expressions will be 10 (cos 75° + i sin 75°).
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anyone knows the answer?!
Answer:
Your answer is B) Function 1 has the smaller minimum value of -14.
Step-by-step explanation:
Method 1: Looking at the Function 1 and 2 points.
Method 2:
I have graphed functions 1 and 2 onto desmos to help determine which one has the smaller minimum.
PLEASE HELPP LATE NIGHT HWEHWHWHWHHW
what is the question tho?
Triangle RST is shown below. What is the length of ST?
R
13
5
S
a.) 12
b.) 5
c.) 18
d.) 8
Answer:
A: 12
Step-by-step explanation:
Using the pythagoreom theorem, a^2+b^2=c^2. We can plug in the lengths of 5 and 13 which is 5^2+b^2=13^2. Now we can square the numbers to get 25+b^2=169. Subtract 25 from 169 to get 144. Now find the square root of 144 which is 12.
If 8% of the pupils in a class are absent and there are 46 present, what is the number of pupils in this class when all are present?
Answer:
50
Step-by-step explanation:
100% - 8% = 92%
Proportions:
46 ⇒ 92%
A ⇒ 100%
A = 46*100/92
A = 4600/92
A = 50
Maureen made a two-layer cake for her brother's graduation party. Both layers are 1 1/2 inches tall and shaped like rectangular prisms. The bottom layer is 24 inches long and 16 inches wide, while the top layer is 20 inches long and 12 inches wide. What is the total volume of the cake? Write your answer as a whole number, proper fraction, or mixed number.
Complete the steps to calculate the density of the steel. Calculate the volume of the prism. Recall that the area of a hexagon is One-half times the apothem times the perimeter. V = cm3 Calculate the volume of the cylinder. Round to the nearest hundredth. V = cm3 Find the volume of the composite figure. V = cm3 Calculate the density by dividing the mass by the volume. D = g/cm3.
Answer:
(A) ✔ 0.45
(B) ✔ 0.06
(C) ✔ 0.39
(D) ✔ 7.77
Step-by-step explanation:
Got it right, hope this helps!
Which of these problems would require regrouping before solving?
Select the correct answer.
647 - 283
916 - 812
824 - 503
295 - 194
there are 20 computers in the school library and 80 sixth-grade students. what is the ratio in lowest terms of computers to sixth-grade students?
Answer:
The ratio is 1:4 or 1 computer for every 4 sixth graders.
Step-by-step explanation:
20 for 80 = 20:80
20:80 divided by 10:10 = 2:8
2:8 divided by 2:2 = 1:4
A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of the triangle to be 8 feet. The area of the logo must be less than 24 square feet. (The school doesn't want to buy more paint.) Write an inequality that describes the possible base lengths (in feet) of the triangle.
Answer:
Possible base lengths are 1, 2, 3, 4, 5
Step-by-step explanation:
Area = base x height / 2
Let base be b
b x 8 / 2 < 24 (Area < 24)
4b < 24
b < 6
What is the slope and y-intercept of the equation 5x + y = 4?
Answer: Explanation:The slope-intercept form of a linear equation is: y=mx+bWhere m is the slope and b is the y-intercept value.We can subtract 5x from each side of the equation to put the equation in slope intercept form while keeping the equation balanced:−5x+5x+y=−5x+40+y=−5x+4y=−5x+4Therefore:The slope is: m=−5The y-intercept is: b=4 or (0,4)
Step-by-step explanation:
Answer:
Slope m=-5 Y intercept=4 (-5,4)
Step-by-step explanation:
To get the slope you will need Rise over Run. 5/1 which is slope
which will make x=0 and y=4 which is y intercept.
please to god help i need help, im stopid
Answer:
A and C
Step-by-step explanation:
Because the numbers are smaller so you need to look for a bigger number than what the number you have is.
Use the table to predict the number of times you will spin 3 when you spin the spinner 100 times. Spinning a Spinner Number spun Times spun You can predict that you will spin 3 times
Step-by-step explanation:
I am not sure i understand the text you put there.
what I think is clear is to find the expected number of the appearances of the number 3 when spinning the spinner 100 times.
to do this we start by checking the given information.
and we see that the given table based on the result of in total 50 spins (7+8+9+7+11+8).
when spinning the spinner additional times, we can expect the same structure of distribution of the individual possible results as before. we just scale everything to the new size of the overall sample.
before, with 50 spins, we saw the number 3 9 times.
so, with 100 spins, which is 2×50, we expect to see the number 3 then 2×9 = 18 times.
Parallelogram calculations
#1
Area
Length×Breadth5(2.5)12.5mi²#2
Area
1/2BH1/2(16)(5)8(5)40ft²#3
Area
BH24(6)144cm²#4
Area
BH7(4)28m²Answer:
Part (b)
Formula: Area of a rectangle = width × length
Substitution: Area = 2.5 mi × 5 mi
Answer: Area = 12.5 mi²
Part (c)Formula: Area of a triangle = 1/2 × base × height
Substitution: Area = 1/2 × (12 ft + 4 ft) × 5 ft
Answer: Area = 40 ft²
Part (e)Formula: Area of a parallelogram = base × height
Substitution: Area = 24 cm × 6 cm
Answer: Area = 144 cm²
Part (f)Formula: Area of a parallelogram = base × height
Substitution: Area = 7 m × 4 m
Answer: Area = 28 m²
Find the area of one petal of the polar curve r = 5sin 2θ
The area of one petal of the polar curve r = 5 sin 2θ would be 25π/4.
How to find the area of a region?Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.
Then summing all those pieces' area gives us the area of the main big region.
The polar curve r = 5sin 2θ
When r = 0, θ = 0, π/2 which corresponds to one loop.
We need the limits to provide r=0 or cos(5x) =0 so:
Therefore the area of the region enclosed by this curve is
[tex]A = \dfrac{1}{2} \int\limits^a_b {r^{2} } \, d\theta \\\\\\A = \dfrac{1}{2} \int\limits^{\pi /2}_0 {25sin^{2}2\theta } \, d\theta \\\\\\A = \dfrac{1}{2} \times 25\int\limits^{\pi /2}_0 {sin^{2}2\theta } \, d\theta \\\\\\A = \dfrac{1}{2} \times 25\int\limits^{\pi /2}_0 \dfrac {1-cos^{2}4\theta } {2}\, d\theta\\ \\\\A = \dfrac{25}{2}( \theta - \dfrac {sin4\theta} {2})\, d\theta |^{\pi /2}_0\\\\\\A = \dfrac{25}{2} \times \dfrac{\pi }{2} \\\\\\A = \dfrac{25\pi }{4}[/tex]
Thus, the area of one petal of the polar curve r = 5sin 2θ would be 25π/4.
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Solve.
45 = 4(a + 3) – 3
Answer:
a = 9
Step-by-step explanation:
45 = 4(a + 3) – 3
Add 3 to both sides.
48 = 4(a + 3)
Divide both sides by 4.
12 = a + 3
Subtract 3 from both sides.
9 = a
a = 9
Answer: a = 9
All the following are equal except: 1, 3/3, -3/-3, 2/4
(will mark brainliest)
Answer:
2/4
Step-by-step explanation:
2/4 does not equel a whole number instead it only reaches 1/2
4(6x + 87)
9(5 x 89p)
(45 - 9) x 12
Answer:
Simplify????
1. 24x + 348
2. 4005p
3. 432
Step-by-step explanation:
Step-by-step explanation:
first one- 24x + 348
second one- 4005p
third one- 432
Can someone help me please
Answer:
∠A≅∠X AB≅XZ
∠B≅∠Z AC≅XY
∠C≅∠Y BC≅ZY
ΔABC≅ΔZXY
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
Find the distance between the two points in simplest radical form.
(-5, -4) and (3, – 7)
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[3 - (-5)]^2 + [-7 - (-4)]^2}\implies d=\sqrt{(3+5)^2 + (-7+4)^2} \\\\\\ d=\sqrt{8^2 + (-3)^2}\implies d=\sqrt{64+9}\implies d=\sqrt{73}[/tex]
Grapes are on sale for $0.97 per pound and Bart wants to purchase 4 pounds of grapes. How much will he spend?
Answer:
$3.88
Step-by-step explanation:
Use an identity to find the value of
Answer:
sin Ф.
Step-by-step explanation:
Cos (-270) = cos 90 = 0 and sin(-270) = sin 90 = 1.
So cos ( Ф - 270) = cos Ф cos (-270) + sin Ф sin(-270)
= cos Ф * 0 + sin Ф * 1
= sin Ф.
a water park sold 13 child tickets and 87 adult tickets. what percentage of the tickets sold were child tickets?
Answer:
13%
Step-by-step explanation:
Total is 100 tickets sold as 13+87=100, 13/100 is 13%
Find 5% of 110km/h
With steps please.
Answer:
5.5 km/h
Step-by-step explanation:
→ 5% of 110
→ (5/100) × 110
→ 0.05 × 110
→ 5.5 km/h
