So I have another trigonometry question PLZ HELP ME I'm clueless at this rate I have like a little idea but I'm lost, SO PLZZZ! I NEED IT BY JUNE 4
1. Lifeguard stands on a beach are approximately 300 ft apart. They are at 30-degree angles to a windsurfer on the water in between them. How far away is the windsurfer from each tower. Draw a diagram to help you picture the situation.
2. If the Earth is approximately 93 million miles from the sun, and Mercury is about 36 million miles from the sun, what are the possible distances between Earth and Mercury on a certain day if the angle between the sun and mercury is 22 degrees as measured from Earth?
Answers
Answer:
1) The windsurfer is approximately 580 ft from each lifeguard stand.
2) The distance between the Earth and Mercury is approximately 61 million miles.
Step-by-step explanation:
The image other two situations described is presented in the attached image to this answer.
1) From the attached image, the windsurfer forms a right angled triangle with each of the lifeguard stand and the midpoint between the two lifeguard stands.
Hence, the angle at the top of the triangle is half of 30°, 15° and the distance from the midpoint of the lifeguard stands to the lifeguard stands is 300/2 = 150 ft.
Let the required distance of the windsurfer from each of the lifeguard stands be x.
Using trigonometric relations,
Sin 15° = (150/x)
x = 150 ÷ sin 15° = 150 ÷ 0.2588
x = 579.6 ft = 580 ft to the nearest whole number
2) From the image, the Sun, Earth and Mercury form a triangle.
Let the possible distance between the Earth and Mercury be y.
Using cosine rule,
y² = 36² + 93² - (2×36×93×cos 22°)
y² = 3,736.5769098208
y = √3,736.5769098208 = 61.13 million miles = 61 million miles to the nearest million miles.
Hope this Helps!!!
Related Questions
Mr. Ray wanted to measure the height of a light post. He placed a mirror on the ground 32 feet from the light post, then walked backwards until he was able to see the top of the light post. His eyes were 6 feet above the ground and he was 9 feet from the mirror. Using similar triangles, find the height of the light post to the nearest tenth of a foot.
Answers
Answer:
Option (2) is the answer.
Step-by-step explanation:
From the figure attached,
AB represents the length of Mr. Ray, ED represents the light post and the mirror was placed at point C.
Here AB = d = 6 feet
CD = w = 32 feet
BC = f = 9 feet
Since both the triangles ABC and EDC are similar, their corresponding sides will be in the same ratio.
[tex]\frac{AB}{DE}=\frac{BC}{CD}[/tex]
[tex]\frac{6}{h}=\frac{9}{32}[/tex]
h = [tex]\frac{6\times 32}{9}[/tex]
h = 21.33 feet
h ≈ 21.3 feet
Therefore, height of the light post is 21.3 feet.
Option (2) is the answer.
z^-11 times z^-15. thanks
Answers
Answer:
z = -165
Step-by-step explanation:
z
Simplify ——
11
z
—— - -15 = 0
11
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 11 as the denominator :
-15 -15 • 11
-15 = ——— = ————————
1 11
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
z - (-15 • 11) z + 165
—————————————— = ———————
11 11
Equation at the end of step 2 :
z + 165
——————— = 0
11
Step 3 :
When a fraction equals zero :
3.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
z+165
————— • 11 = 0 • 11
11
Now, on the left hand side, the 11 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
z+165 = 0
Solving a Single Variable Equation :
3.2 Solve : z+165 = 0
Subtract 165 from both sides of the equation :
z = -165
One solution was found :
z = -165
A 130 cm3
B 175 cm 3
C 200 cm3
D 123 cm 3
Answers
Answer:
B-175cm 3
Step-by-step explanation:
L × W × H
7 × 5 × 5
The 7 comes from the area of the top rectangle which is 35 = 7×5.
Solve for the unknown value.
Answers
may u show me the unknown value ? Im not sure I undertsand
Answer:
where is the unknow value
Step-by-step explanation:
A study was done by an online retail store to determine the rate at which users used its website. A graph of the data that was collected is shown:
A. The range represents the 54 month time period of the study.
B. The range represents the 36 month time period of the study.
C. The range represents the number of users each month for 36 months.
D. The range represents the number of users each month for 54 months.
Answers
Please help! I've been on this question for more than an hour...
You pick a card at random. Without putting the first card back, you pick a second card at random.
What is the probability of picking an even number and then picking an even number?
Simplify your answer and write it as a fraction or whole number.
Answers
Answer:
1/6
Step-by-step explanation:
Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!
prove that:
please do it fast
Answers
Answer:
Step-by-step explanation:
[tex]A+B=\theta\\B=\theta-A\\sin B=sin (\theta-A)\\sin A=\lambda[sin \theta cos A-cos \theta sin A]\\sin A[1+\lambda cos \theta]=cos A(\lambda sin \theta) \\\frac{sin A}{cosA} =\frac{\lambda sin \theta}{1+ \lambda cos \theta} \\[/tex]
[tex]tan A=\frac{\lambda sin \theta }{1+ \lambda cos \theta }[/tex]
Please help I don’t know how to find angels
Answers
Answer:
PLEASE GIVE BRAINLIEST AND THANKS
50
Step-by-step explanation:
angles on a straight line add up to 180 degrees
Answer:
50
Step-by-step explanation:
Take
65 x 2 = 130
180 - 130 (because of the angle of the base) = 50 degrees
so angle C is 50 degrees
You’ve decided you want to plant for your room. At gardening store, there 4 different kinds of plants (tulip fern cactus, and ficus) and 4 kinds of pots to hold the plants ( clay pot , plastic pot, metal pot, and wood pot).
Answers
Answer:
9/16
Step-by-step explanation:
i got it right on khan academy
Answer:
1/16
Step-by-step explanation:
Got It on Khan academy
An attendant recorded the data in the table showing the types and colors of vehicles that parked in a parking lot. (Refer to the table in the image attached.) 1. What is the experimental probability that the next vehicle in the lot is a red car?
Answers
Answer:
There are 22% of chances that the next vehicle in the lot is a red car.Step-by-step explanation:
The event is a red car vehicle. So, the experimental probability would be the ratio between the total number of red car vehicles and the total number of cars.
Notice that there are 22 red vehicles in total, and there are 100 cars in total. So, the ratio is
[tex]P=\frac{22}{100} = \frac{11}{50} = 0.22[/tex]
Therefore, there are 22% of chances that the next vehicle in the lot is a red car.
radius symbol in mathematics
Answers
Answer:
its just 'r'
Step-by-step explanation:
hope this helps
Answer:
Radius symbol in mathematics =r
Step-by-step explanation:
Other symbols are
π Pi
d Diameter
C Circumference
PLEASE HELP ME WITH THIS QUESTION what is -48-(-12)
Answers
Answer:
-36
Step-by-step explanation:
-48+12=-36
Answer: -36
Step-by-step explanation: −48−(−12)
=−48−(−12)
=−48+12
=−36
What is the probability of landing on a green section using
the spinner shown below and choosing a red playing card
from the player's hand pictured?
Answers
Answer:
s
Step-by-step explanation:
s
Please help with this probability question im not sure on my answer
Answers
Answer:
.278
Step-by-step explanation:
There are 9 coins
P (nickel) = number of nickels/ total
= 5/9
Keeping the coin
We now have 8 coins, 4 nickels and 4 dimes
P (nickel) = number of nickels/ total
= 4/8 = 1/2
P(nickel, keep, nickel) = 5/9* 1/2 = 5/18=.2777777777
please help, what number do you get? i’m confused
Answers
Answer: 90
Step-by-step explanation: mAB =180° as it is a straight angle
x=180-120= 60°
so,The number should be less than 180 but more than 60, be divisible by 30 and be a 2 digit no.
nos. divisible by 30 between 60 and 180 are 90,120 and 150
But there is only one of these that are 2 digit i. e. 90
Therefore, the no. is 90
PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:) (^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)
90
This is because it’s less than 120°
It’s greater than the degree between c and b which is x
It can be divided by 30, 9 decided by 3 for example
It’s a two digit number
The answer is 90
what is the slope of the line ?
Answers
Answer:
-3/4
Step-by-step explanation:
To find the slope of a line, you need to see how much it "rises" over a certain amount of "run". In other words, for a given amount of distance traveled along the x axis, how much it traveled vertically along the y axis. In this line, for every 4 units moved to the right, the line goes up by -3 units. Therefore, the slope of the line is -3/4. Hope this helps!
Answer:
m = -4/5
Step-by-step explanation:
Slope is the difference in y-values/difference in x-values.
Since the graph goes 4 units down and 5 units right, the slope is -4/5.
can someone plz help me plz plz
Answers
Answer:
2
Step-by-step explanation:
The slope of the line is basically the gradient so I used the formula
(y2-y1) / (x2 - x1) which gives (-5-1) / (3-0) = 2
Write the following series in summation notation. 1, 4, 9, 16, 25, 36
Answers
Answer:
[tex]\sum_{k=0}^{n}2k+1[/tex]
Step-by-step explanation:
Let's take a look at how much is added from one term to the next and see if we can recognize a pattern!
1 to 4: +34 to 9: +59 to 16: +716 to 25: +925 to 36: +11If we start by listing the first number in sequence, 1, we get the familiar list:
1, 3, 5, 7, 9, 11
Of course, this is simply the list of the first six odd numbers. To get the first term, we add the first 1 odd number, to get the second, we add first 2 (1 +3), to get the third, we add the first 3 (1 + 3 + 5), and so on. How do we shorten these sums so we're not writing out dozens of terms as the sequence goes on?
Sigma notation: Summing things upFor situations where we're adding up a lot of numbers that follow a predictable pattern, mathematicians came up with something called summation notation, or sigma notation, coming from the Greek S, Σ, short for "sum". Here's a simple example of a sum expressed in sigma notation:
[tex]\sum_{n=1}^{4}n=1+2+3+4[/tex]
Let's break this down. n acts as our counter. [tex]\sum_{n=1}[/tex] sets it to start counting at 1, and tells us to stop counting at n = 4. The [tex]\sum n[/tex] bit tells us what pattern we'll be following, in this case, each step of the way we'll be adding the value of the counter.
In summationSo how do we express the sum 1 + 3 + 5 + ... in sigma notation? First, we need an expression that describes the pattern algebraically. Ever odd number is 1 away from an even number, so we can either describe our list with the expression [tex]2k+1[/tex] (if we start at k = 0), or [tex]2k-1[/tex] (if we start at k = 1). I'll choose [tex]2k+1[/tex] for this problem.
We want to start counting at k = 0 , and we can choose whatever we want for our stopping point. Let's call that stopping point n, for the nth term in the series. In sigma notation, we can now write this series in the form
[tex]\sum_{k=0}^{n}2k+1[/tex]
Let's test it out for the first few values to see if it works!
n = 0: [2(0) + 1] = 1n = 1: [2{0) + 1] + [2(1)+1] = 1 + 3 = 4n = 2: [2{0) + 1] + [2(1) + 1] + [2(2) + 1] = 1 + 3 + 5 = 9Checks out!
To write the series in summation notation, we have to identify a pattern. After we identify the pattern, we get that the notation is:
[tex]S = \sum_{n = 1}^{\infty} n^2[/tex]
Terms:
The first term is 1, which is also the square of 1, as [tex]1^1 = 1[/tex]The second term is 4, which is also the square of 2, as [tex]2^2 = 2[/tex]The third term is 9, which is also the square of 3, as [tex]3^2 = 9[/tex]The fourth term is 16, which is also the square of 4, as [tex]4^2 = 16[/tex]The fifth term is 25, which is also the square of 5, as [tex]5^2 = 25[/tex]The sixth term is 36, which is also the square of 6, as [tex]6^2 = 36[/tex]From this, we can get a pattern that each term is the square of the index, and the notation is:
[tex]S = \sum_{n = 1}^{\infty} n^2[/tex]
A similar question is found at: https://brainly.com/question/16543477
Which unit price is the highest?
turnips for $1.51 per pound
peppers for $1.62 per pound
carrots for $1.26 per pound
O celery for $1.48 per pound
Answers
Answer: peppers
Step-by-step explanation:
Peppers cost the greatest amount per pound
$1.62 (peppers) > $1.51 (turnips) > $1.48 (celery) > $1.26 (carrots)
Answer:
pepper for 1.62 per pound
please help it's in math
Answers
Answer:
3915 cubic inches
Step-by-step explanation:
Let's individually find the volume of both, and then combine them. For the triangle, we know that the length of the triangular base is 7 inches, the height is 10 inches, and the length of the prism is 29 inches. Therefore, the area of the triangular prism is 7*10*29/2=1015 cubic inches. For the rectangular prism, you simply need to multiply all of the dimensions together, getting 10*10*29=2900 cubic inches. Adding these together, you get a total of 3915 cubic inches. Hope this helps!
Find the volume of cylinder
Diameter of base is 11 cm
Height of cylinder is 16cm
Answers
Answer:
1520.5 cm³
Step-by-step explanation:
Volume formula for cylinder: V = πr²×h
Radius = 11 ÷ 2
= 5.5cm
Volume = π × 5.5² × 16
=1520.5cm³
Please help fast!
Round to the underlined place value position: 15.451 The underlined number is 4
Answers
Answer:
5 or above round up 4 or below round down
15.5
The numbers after the rounded digit becomes zeroes
Hope this helps
Step-by-step explanation:
Answer:
15.5 hope this helps
:)
Step-by-step explanation:
Given that the commuter used public transportation, find the probability that the commuter had a commute of 60 or more minutes.
Answers
Answer:
Step-by-step explanation:
Find r
0.5(r+2.75)=3
Answers
Answer:
r=3.25
Step-by-step explanation:
Answer:
r = 3.25
Step-by-step explanation:
Solve for r:
0.5 (r + 2.75) = 3
Multiply both sides of 0.5 (r + 2.75) = 3 by 2:
2×0.5 (r + 2.75) = 2×3
2×0.5 = 1:
1 (r + 2.75) = 2×3
2×3 = 6:
1 (r + 2.75) = 6
Multiply both sides of 1 (r + 2.75) = 6 by 1:
1×1 (r + 2.75) = 1×6
1×1 = 1^2:
1^2 (r + 2.75) = 1×6
1^2 = 1:
1 (r + 2.75) = 1×6
1×6 = 6:
r + 2.75 = 6
Subtract 2.75` from both sides:
r + (2.75 - 2.75) = 6 - 2.75
2.75 - 2.75 = 0:
r = 6 - 2.75
6 - 2.75 = 3.25:
Answer: r = 3.25
Jordan Michael runs a basketball camp. A group of randomly selected camp participants were asked to give their shirt size. The table below shows the results of the survey. There are
308
308308 camp participants this year.
Answers
Answer: 77
Step-by-step explanation:
Answer:
77
Step-by-step explanation:
Is 364 a prime or a composite number?
Answers
Answer:
364 is an even composite number.
Step-by-step explanation:
It is composed of three distinct prime numbers multiplied together.
*EASY 7TH GRADE MATH*
PICTURE ABOVE
First answer shall be marked brainliest! <3 thanks for the help!
Answers
Answer:
A rectangle that has the same volume can be the opposite of that.
Step-by-step explanation:
The length = 4
the width = 20
the height = 6
Hope this helps,
v= l ×w×h
ヾ(・ω・`)ノ
No, the surface areas are not the same.
Calculate the 4th angle of a quadrilateral if the other sides are 56, 115 and 120.
Answers
Answer:
69°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Subtract the sum of the given angles from 360, that is
4 th angle = 360° - (56 + 115 + 120)° = 360° - 291° = 69°
The table shows the number of animals, by type, at a petting zoo.
Animal Number
Goats 5
Sheep 3
Cows 2
Rabbits 6
Select the true statements about the information in the table.
Choose all answers that apply:
(Choice A)
The ratio of cows to all animals is 1:16
(Choice B)
For every 3 rabbits there are 8 total animals.
(Choice C)
None of the above
Answers
For every 3 rabbits there are 8 total animals
Please help!
You roll a 6-sided die two times.
What is the probability of rolling a number less than 4 and then rolling an odd number?
Write your answer as a percentage.
Answers
Answer:
(25%)
Step-by-step explanation:
12√4=3√1=3=25%