Answers
To solve this problem, we must consider all the trigonometric equations:
⇒ (see image below)
Let's examine the diagram:
the side adjacent to ∠A ⇒ AC ⇒ 35 metershypotenuse ⇒ 53 metersThus we can use:
[tex]cos(A)=\frac{35}{53} \\A= cos^{-1}(\frac{35}{53})\\ A = 48.67[/tex]
Answer: 49 degrees (as rounded)
Hope that helps!
Related Questions
quick timer
Consider the pattern below.
5+5/3+5/9+5/27+5/81
What does this pattern represent?
O an arithmetic series
O an arithmetic sequence
a geometric series
O a geometric sequence
Answers
geometric series
Answer:
C
Step-by-step explanation:
find the selling price of a $36 item after a 50% markup
Answers
Answer:
$54
Step-by-step explanation:
36 divided by 2= 18
$36+$18=$54
(50 points) The points show the locations of different stores in a mall. Each unit represents 1 meter
Answers
Answer:
5.1m
Step-by-step explanation:
Distance=[tex]\sqrt{5^{2} +1^{2} }[/tex]
=5.1
Answer:
5.1 meters
Step-by-step explanation:
To Know :
Coordinates of Clothing Store = (5, -6)Coordinates of Music Store = (0, -5)Applying Distance Formula :
Distance = √(0 - 5)² + (-5 + 6)²Distance = √(-5)² + (1)²Distance = √25 + 1Distance = √26 metersDistance = 5.1 meterswhat can Tiffany conclude from the data above?
Answers
A person who has only a high school diploma, they are most likely to have an income of less than $40,000.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
The probability of a high school diploma person having less than $40,000 income will be
P(HSD) = 51/78
P(HSD) = 0.6538
The probability of a Bachelor's degree person having less than $40,000 income will be
P(BD) = 24/78
P(BD) = 0.3077
The probability of a master's degree person having less than $40,000 income will be
P(MD) = 3/78
P(MD) = 0.0385
A person who has only a high school diploma, they are most likely to have an income of less than $40,000.
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Please help ASAP! Solve for 4
Answers
Explanation: 180-58-61=149
What is the surface area of the
triangular prism shown?
Answers
Answer:
1120^2
Step-by-step explanation:
25x17=425
425+(8x25)=625
625+(8x15)=745
745+(15x25)=1120
Match each problem with its solution.
200
6
5
15
Jason is a party planner. In 124 packages, he has a total
of 1,860 balloons. If each package has the same number
of balloons, how many balloons are there in each package?
arrowRight
A plane has to travel 2,800 miles at an average speed of
560 miles per hour. How many hours will it take to reach
its destination?
arrowRight
An adult seal at a marine park consumes 2,400 kilograms
of food in one year. If it consumes the same amount of
food every month, how many kilograms of food does the
seal consume per month?
arrowRight
Andy and his roommates consume 180 bottles of orange
juice in 30 days. If they consume the same amount of
orange juice each day, how many bottles of orange juice
do they consume each day?
please let me know if you have an answer
Answers
The number of balloons on each package will be 15
How to calculate the problems?From the information, Jason is a party planner. In 124 packages, he has a total of 1,860 balloons and each package has the same number.
Therefore, the number of balloons on each package will be:
= 1860 / 124
= 15
When a plane has to travel 2,800 miles at an average speed of 560 miles per hour. The number of hours used will be:
= 2800/560
= 5
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Find the value of k so that the remainder is 2 for (x^4- 12x^3+3x^2– kx - 4) = (x+1).
Answers
Answer:
the answer is k=-4 hope this helps
please hepl will give brainly, 30 points
Answers
Answer:
∠G = 53°
∠H = 90°
∠I = 37°
Step-by-step explanation:
∠H = 90° because it is a right angle and all right angles = 90°
The sum of all angles in a triangle = 180°
∠H + ∠G + ∠I = 180°
90° + (5x - 7)° + (3x + 1)° = 180°
5x - 7 + 3x + 1 = 90° Subtract 90° from both sides
8x - 6 = 90 Adding like terms
8x = 96 Adding 6 to both sides
x = 12 Dividing both sides by 8
Now solve for ∠G and ∠I using 12 as the value for x
∠G = (5x - 7)° ∠I = (3x + 1)°
∠G = 5·12 - 7 ∠I = 3·12 + 1
∠G = 53° ∠I = 37°
1. a motor car race is 500 miles long and consists of completing laps of a circular speedway
that has a circumference of 2.5 miles. for which of these functions does y represent the
number of miles a motor car has left to go in the race if x represent the number of laps
completed by the motor car?
a. y = -2.5x -500
b. y = -2.5x + 500
c. y = 2.5x -500
d. y = 2.5x + 500
Answers
The function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long, option (d) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
y represents the number of miles a motor car has left to go in the race
x represents the number of laps completed by the motor car
The total number of miles if we consider only circular speedways = 2.5x
The total number of miles:
y = 2.5x + 500 (because 500 is the constant)
Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.
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The store opened at 8:15 a.m. and closed at 11:45 p.m. how long was the store opened?
Answers
Answer:
3 hours and 30 minutes
Step-by-step explanation:
8:15+3=11:15
11:15+30=11:45
Answer:
15 hr 30 min
Step-by-step explanation:
8:15 - 9 am = 45 min
9 am to 11 pm = 14 hours
11pm - 11:45 pm = 45 min
90 min = 1 hr 30 min
14 hr + 1 hr 30 min = 15 hr 30 min
Find the circumference of a circle whose radius is 16. Leave your answer in terms of π.
Answers
Answer:
32π
Step-by-step explanation:
The equation for the circumference of a circle is as follows:
C = 2 π r
Since r = 16:
C = 2 π (16) = 32π
Somebody please help I’ve been stuck on this question for 2 hours
Answers
The volume of the cylinder when its radius is tripled is 405π unit³.
What is the volume of the cylinder when its radius is tripled?The volume of the cylinder when its radius is tripled is calculated by applying the formula for volume of a cylinder as follows;
V = πr²h
where;
r is the radius of the cylinderh is the height of the cylinderV is the volume of the cylinderV₁/r₁² = V₂/r₂²
where;
V₁ is the initial volume = 45π unit³
r₁ = 3 units
when the radius is tripled, r₂ = 3r₁
V₁/r₁² = V₂/r₂²
V₂ = (V₁/r₁²) x r₂²
V₂ = (V₁/r₁²) x (3r₁)²
V₂ = 9V₁
V₂ = 9 x 45π unit³
V₂ = 405π unit³
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THE IMAGE OF TRIANGLE ABC AFTER A 180 DEGREE ROTATION THE ORIGIN IS
Answers
The image of triangle ABC is a A'B'C' after rotating about the origin with an angle of 180 degree.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
If we rotate the triangle ABC with the origin (0, 0) about 180 degree it will form an image of the triangle ABC which is A'B'C'
Here the coordinates for ABC are not given so we are assuming the triangle ABC has a image which is A'B'C' (refer attached picture)
Thus, the image of triangle ABC is a A'B'C' after rotating about the origin with an angle of 180 degree.
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Pythagorean Theorem (Radical Answers)
May 12, 8:47:08 AM
Find the length of the third side. If necessary, write in simplest radical form.
7
412
8
Answers
c=√a2+b2 I really hope this helps
A scientist is working with 12 meters of gold wire. How long is the wire in millimeters?
Answers
Answer:
12 meters = 12000 mmStep-by-step explanation:
A scientist is working with 12 meters of gold wire. How long is the wire in millimeters?
12 meters = 12000 mm
(1m = 1000 mm)
12 * 1000 = 12000
Emma has a mask collection. she keeps 190 of the masks on her wall, which is 38% of her entire collection. what is the total number of masks in emma's collection?
Answers
Answer:
262 Masks
Step-by-step explanation:
190×0.38=72.2 but there cannot be 0.2 masks so it becomes 72. 190+72=262.
The total number of masks in Emma's collection is 262 Masks.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Emma has a mask collection. she keeps 190 of the masks on her wall, which is 38% of her entire collection.
The total number of masks will be calculated as,
190×0.38=72.2
But there cannot be 0.2 masks so it becomes 72.
Total mask = 190+72
Total mask =262.
Therefore, the total number of masks in Emma's collection is 262 Masks.
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find the indicated value of each function f(x)=-8x+14+15x^2 find f(-3)
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \:f(x) =- 8x + 14 + 15 {x}^{2} [/tex]
we have to find value of f(-3), so plug the value of x as -3 in the equation ~
[tex]\qquad \sf \dashrightarrow \:f( - 3) =- 8( - 3) + 14 + 15 {( - 3)}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:f( - 3) = 24 + 14 + 15 {(9)}^{} [/tex]
[tex]\qquad \sf \dashrightarrow \:f( - 3) = 38+ 135 [/tex]
[tex]\qquad \sf \dashrightarrow \:f( - 3) = 173 [/tex]
I hope it's easy to understand now ~
f(-3):
[tex]\\ \rm\Rrightarrow 15x²-8x+14[/tex]
[tex]\\ \rm\Rrightarrow 15(-3)²-8(-3)+14[/tex]
[tex]\\ \rm\Rrightarrow 15(9)+24+14[/tex]
[tex]\\ \rm\Rrightarrow 135+38[/tex]
[tex]\\ \rm\Rrightarrow 173[/tex]
I will mark brainliest!!!
What is the slope?
A. 3/2
B. 1/2
C. 3/4
D. 2/3
Answers
2- -1 is 3
1- -1 is 2
Therefore the slope is 3/2 :)
1. 6 tractors take 7 days to collect the harvest. How long does it take 12 tractors to do the same work? ANSWER MUST BE IN 1 DECIMAL PLACE.
2. 3 kitchen assistants can prepare 10kg of vegetables in 45 minutes. How long would it take 20 assistants to prepare the same amount? ANSWER MUST BE IN 1 DECIMAL PLACE.
MARKING FIRST ANSWER AS BRAINLIEST.
Answers
Answer:
1.
3.5 days
2.
6.75 minutes, 6 minutes 45 seconds, 6.8 minutes to 1 dp
Step-by-step explanation:
1.
With double the amount of tractors it will take half the time.
7 divided by 2 is 3.5
2.
This is an example of inverse proportion. The job that has to be done to to prepare the vegetables, That stays the same.
However, the more people there are to do the work, the quicker it will get done.
There is a constant to be found:
x multiplied by y equals k
3 x 45 = 135
For 20 people:
20 x y = 135
135 divided by 20 is:
6.75, or 6.8
Multiplication and dvision which number sentence is true? a. b. c. d.
Answers
b. and d.
Step-by-step explanation:
the sentence is true
Out of a population of 1,500 students, 100 were asked by a random sampling to choose their favorite national park. their responses are shown in the table below. national parks favorite park number of students acadia 19 carlsbad caverns 14 rocky mountain 30 grand canyon 23 yosemite 14 using proportional reasoning, about how many students out of the 1,500 would you expect to pick yosemite for their favorite national park? 14 86 210 244
Answers
Answer:
210
Step-by-step explanation:
the sample is one 15th of the total population, and thus Yosemite's 14 should be scaled back by 15
1500/100 = 15
15 * 14 = 210
Answer:
210
Step-by-step explanation:
I did the test
What is the median of the data?
20, 19, 13, 23, 16, 15, 17, 17, 15, 15, 22, 19
18
15
O 17
016
Answers
median = the middle number {always remember this}.
To find the median of a set of numbers we arrange that set of numbers either in ascending order (smallest to biggest value) or in descending order ( biggest to smallest value).
so we are given :
20, 19, 13 , 23, 16, 15 , 17, 17, 15 , 15, 22, 19, .
we rearrange in ascending order (I chose ascending order).
Soo...
13, 15, 15, 15, 16, 17, 17 , 19, 19, 20, 22, 23.
so we cancel out (we cancel out left number, right number)
I mean
cancel out 13, cancel out 23
cancel out 15, cancel out 22
cancel out 15, cancel out 20 and so on.....
after that we will be left with 2 numbers which are 17 and 17.
NOTE: ( if we get 2 numbers instead of 1, then we add those 2 numbers and divide by 2)
so...
17 + 17 = 34
34/2 = 17.
the median of the set of numbers is equal to 17.
Hope this helps.
Good luck ✅.
HELP ME PLEASE IVE BEEN STRUGGLING WITH THIS FOR SO LONG
Answers
Answer:
m∠ACE = 90°Step-by-step explanation:
Figure Interpretation:
m∠CBA + m∠CDE = 180
m∠BCA = (180-m∠CBA)/2
m∠DCE = (180-m∠CDE)/2
=======================
Then
m∠BCA + m∠DCE = (180-m∠CBA)/2 + (180-m∠CDE)/2
= [360-(m∠CBA+m∠CDE)]/2
= [360 - 180]/2
= 90
finally,
m∠ACE= 180 - (m∠BCA + m∠DCE)
= 180 - 90
= 90
solve for x in the triangle. Round to the nearest tenth
Answers
5. in the following figure, GE= r.
where ris the radius of the circle.
a) What is the nature of the triangle GEO? Justify your answer.
b) By calculating SEG in two different ways. using ares of the
Answers
Answer + Step-by-step explanation:
a) GE = r = GM
Then GEO is an isosceles triangle
b) since GEO is an isosceles triangle then :
m∠SEG = m∠GOM = measure of the arc GM (mGM) (result 1)
On the other hand :
m∠SEG = m∠SEG = (1/2)×(mAS - mGM) (it’s a formula) (result 2)
Now ,we equate (result 1) and (result 2) :
m∠SEG = mGM
m∠SEG = (1/2)×(mAS - mGM)
Then
mGM = (1/2)×(mAS - mGM)
c) mGM = (1/2)×(mAS - mGM)
⇔ 2mGM = mAS - mGM
⇔ 3mGM = mAS
⇔ 3m∠SEA = m∠SOA
Remember:
mGM = m∠GOM = m∠SEA
Find a number “a so that the numbers 42, 46, a, a, a have a mean and mode both equal.
Answers
Answer:
44
Step-by-step explanation:
The mode will be a as it is the most in frequency.
Calculating 'a' by taking the mean
42 + 46 + a + a + a / 5 = a88 + 3a = 5a2a = 88a = 44find the value of H in this angle. check the attachment on top.
Answers
Answer:
133
Step-by-step explanation:
Line PYF is straight. Therefore, its angle measures 180°. One of the angles is 95°. The other angle measures (h-48)°.
Based on this info, we can form an equation:
95°+h°-48° = 180°
h°-48° = 180°-95°
h = 85°+48°
h = 133°
Hence, the value of h is 133°.
Hope this helps!!!
Please give me brainliest!!!
Find the range of the data.
41, 64, 97, 12, 8, 8
Answers
Answer:
89
Step-by-step explanation:
How do you find the range of a data set?first put you're data set from lowest to highest, then subtract your highest by your lowest valueData:8, 8, 12, 41, 64, 97
We can clearly see that our highest value is 97, and our lowest in 8.
97 - 8 = 89Hence our range of data is 89.The graph below represents data that was collected by students on the
number of social media posts they made the previous day.
SOCIAL MEDIA POSTS
umber of Students)
2
g
Question: what was the mean number of posts made?
Answers
The mean is the ratio of the actual number of observations to the sum of the observations. Then the mean will be 2.5.
What is Mean?The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency. Arithmetic mean is a term used to describe the average.
The graph below represents data that was collected by students on the number of social media posts they made the previous day.
Then the mean will be
The sum of the observation will be
Observation sum = 4 + 2 + 2 + 3 + 3 + 2 + 1 +3
Observation sum = 20
Then the mean will be
Mean = 20/8
Mean = 2.5
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