Answer:
The distance from the sailboat to the island where the lighthouse is located is approximately 212.2 yards
Step-by-step explanation:
The distance between the sailboat and the lighthouse is found using trigonometric ratios as follows;
The given parameters are;
The distance from the sailboat to the lighthouse's light = 245 yards
The angle of elevation of angle B = An angle chosen between 25° and 45°
For simplicity, we chose, B = 30°
A right triangle formed with the height of the light house and the horizontal distance of the sailboat from the lighthouse as legs and angle B is the angle adjacent to the horizontal distance of sailboat from the light house
The hypotenuse length = The distance from the sailboat to the lighthouse's light = 245 yards
By trigonometric ratio, in the we have;
[tex]cos\angle B = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex]
The adjacent leg length = The horizontal distance of sailboat from the light house
[tex]\therefore cos (30^{\circ}) = \dfrac{The \ horizontal \ distance \ between \ the \ sailboat \ and \ the \ lighthouse }{245 \ yards}[/tex]
The horizontal distance between the sailboat and the light house = 245 × cos(30°) ≈ 212.176223927
Therefore;
The horizontal distance between the sailboat and the lighthouse ≈ 212.2 yards
Therefore, the distance from the sailboat to the island where the lighthouse is located ≈ 212.2 yards.
Is this a function?
A) yes
B) No
Answer:
no
Step-by-step explanation:
Find the perimeter of the figure. Round your answer to the nearest hundredth.
in.
Answer:
61.13
Step-by-step explanation:
[tex]2\pi(4) = 8\pi = 25.13[/tex]
[tex]25.13 + 10 + 10 + 8 + 8 = 61.13[/tex]
i don’t understand how to solve this
A store sells cans of tomatoes priced as shown.
Canned Tomatoes
Size Cost
10 ounces $0.89
15 ounces $1.29
18 ounces $2.26
32 ounces $3.39
Which size can of tomatoes has the lowest cost per ounce?
Answer:
I think the answer is b
Step-by-step explanation:
1.29/15= 0.086 this is the lowest cost out of all them
Answer: yea person on top of me is right b 15 ounce
Step-by-step explanation:
what would I put to show my work?
Answer:
x = 23
Step-by-step explanation:
These are supplementary angles so the sum of those angles add up to 180:
3x + 16 + 5x - 20 = 180
8x - 4 = 180
8x = 180 + 4
8x = 184
x = 184/8
x = 23
in a 5 day work week, matt puts 175 miles on his car. His wife, Sarah, puts 100 more miles on her car than he does in the amount of time. how many total miles will they put on there cars in 28 work days?
Answer: the is 1560
Step-by-step explanation:
5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more and 28 work days
Plsss help I’m super stuck on this
Answer:
its b
Step-by-step explanation:
took the quiz
Answer:
I would go with D
Step-by-step explanation:
You can look at the graph and answer it
What whole number best approximates the value of x?
The answer is 87
For this problem, the method I used was more of a guess and check because I simply plugged the options into a calculator to see which one would be closest a little bit past 9.3 but not all the way 9.4
the square root of 87 is 9.32 so you would round down while the square root of 88 is 9.38 which would round up
Hope this helps :)
The designer sketched a model of the pond. The model drawing had a circumference of 24 inches. What is the AREA of the model she drew? Show your work. Round your answer to the nearest tenth.
Answer:
Area of model pond = 45.6 inch² (Approx.)
Step-by-step explanation:
Given:
Circumference of circular pond = 24 inches
Find:
Area of model pond
Computation:
Circumference of circle = 2πr
Circumference of circular pond = 2πr
24 = 2[22/7][r]
Radius r = [24 x 7] / [2 x 22]
Radius r = 3.81 inch (Approx.)
Area of circle = πr²
Area of model pond = πr²
Area of model pond = (22/7)(3.81)²
Area of model pond = [3.1428][14.5161]
Area of model pond = 45.6 inch² (Approx.)
9. The formula V=lwh is the volume formula for a rectangular prism. Find the length (l) of a prism with volume (V) 1200 cm³, width (w) 15 cm, and height (h) 8 cm.
A. 6 cm
B. 8 cm
C. 10 cm
D. 14 cm
please show how you got the answer!
Answer:
C. 10cm
Step-by-step explanation:
First we can rearrange the equation to solve for length (l):
V = lwh
Divide both sides by wh:
l = V/(wh)
Substitute in known values:
l = 1200/(15x8)
l = 1200/120
l = 10cm
Hope this helped!
Guys pls help me!!!!!!
Answer:
Horizontal lines have no vertical change -- it continues straight left or right. In other words, the change in the y values between any points on the graph is 0, since there is no change. This means that the slope of a horizontal line is 0
Step-by-step explanation:
hope this helps
Answer:
0
Step-by-step explanation:
The line's slope remains constant throughout, its a line that passes through the y - axis therefore it's slope will be 0.
A country's population in 1992 was 103 million. In 1997 it was 108 million. Estimate the population in 2012 using the exponential growth formula. Round your answer to the nearest million.
p=Aekt
the awnser is 123 million I am sure of it
Answer:123 million.
Step-by-step explanation: From 1992 to 1997, it grew by 5 million in 5 years. That means it grew by a million people every year. 2012-1997=15. That means it grew by 15 million. 108+15=123.
Find the value of a. 19 km 19 km Perimeter = 57 kilometers
Answer:
19km
Step-by-step explanation:
The formula for the perimeter of a triangle is: S+S+S.
So;
19km+19km+a=57km
a=57km-19km-19km
=19km
write down the temperature which is 5 degree below -2
Answer:
-7
Step-by-step explanation:
-2 - 5 = -7
Answer:
-7 degree
Step-by-step explanation:
FInd the sum of 5x+20 and the opposite of 20 write an equivalent expression in standard form.Justify each step
Answer:
5x
Step-by-step explanation:
5x + 20 - 20 = 5x
You want to buy a pet lizard that costs $57. You already have $18 and you
plan to save $8 per week. If w represents the number of weeks until you
have enough money to buy the lizard, what equation could you use to find
the value of w?
Answer:
8w + 18 = 57
bonus answer: w = 4.875 or 5 weeks
Step-by-step explanation:
Find the volume of the cone. Round your answer to the nearest tenth.
8 ft.
2 ft.
Answer:
134 is your answer hope it helps
Step-by-step explanation:
Help,No Links or i will report and i will give brainliest to first person who answers
Help ASAP
Here is a system of linear equations: -2x + y = 7
6x + y = 11
What is the solution to the system of equations shown?
A
(1/4, 7 1/2)
B.
(2, 11)
c.
(1/2, 8)
D.
(3, -7)
Yes
Answer:
c. (1/2, 8)
Step-by-step explanation:
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
-2x + y = 7
Step 1: Subtract y from both sides of the equation.
-2x = -y + 7
Step 2: Divide both sides by -2
x = 1/2y - 7/2
Substitute what you see above this statement for y in the other equation.
6(1/2y - 7/2) + y = 11
Step 3: Multiply 6 by 1/2y - 7/2.
3y - 21 + y = 11
Step 4: Combine y and 3y.
4y - 21 = 11
Step 5: Add 21 to both sides
4y = 11 + 21
4y = 32
Step 6: Divide both sides by 4.
y = 32/4
y = 8
Step 7: Substitute 8 for y in x = 1/2y - 7/2 Because the resulting equation contains only one variable, you can solve for x directly.
x = 1/2(8) - 7/2
Step 8: Multiply 1/2 by 8.
x = 4 - 7/2
Step 9: Add -7/2 to 4.
x = 1/2
The system is now solved, and we get C (1/2, 8) as our answer.
Answer:
C
Step-by-step explanation:
I did the test myself
Find the rate of change from the table ...
Answer:
(34-30)/(4-2)=4/2=2
(38-34)/(6-4)=4/2=2
Step-by-step explanation: basically, we are just trying to calculate the slope, so (y2-y1)/(x2-x1), then you will get your answer
70% of s is 455, what is s?
Answer:
650
Step-by-step explanation:
[tex]7/10s = 455\\7s = 4550\\s = 650[/tex]
Answer:
650
Step-by-step explanation:
[tex]\frac{70}{100} =\frac{455}{y}[/tex]
First, to answer this you cross multiply. This means:
[tex]45,500=70y[/tex]
Now you divide each side by 70, and you get 650
it's all on the picture
Answer:
The variable is D
Step-by-step explanation:
a variable is an unknown quantity among an equation
A quality control inspector on an assembly line making refrigerators randomly chooses
one of the first 15 refrigerators manufactured each day. This refrigerator and every
fifteenth refrigerator thereafter gets inspected. This is called
A simple random sampling.
B stratified random sampling.
C systematic random sampling,
D voluntary response sampling.
Answer:
a
Step-by-step explanation:
a
Can someone please help me with this math problem? Please.
Simplify the expression:(2x-3y)^2/(3y-2x)^2 Ava simplified the expression and said that the value is -1. (2x-3y)^2/(3y-2x)^2 (2x-3y)^2/-(2x-3y)^2 and then she has both of them crossed out (2x-3y)^2/-1(2x=3y)^2 =-1 Is Ava's solution correct? If not, find and explain her mistake. Give the correct solution.
Answer:
Ava is incorrect
Step-by-step explanation:
Given
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2}[/tex]
[tex]Ava: \frac{(2x - 3y)^2}{(3y - 2x)^2} = -1[/tex]
Required
Determine if Ava is correct or not
Ava's solution is incorrect and the proof is as follows;
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2}[/tex]
Apply the following law of indices;
[tex]\frac{a^n}{b^n} = (\frac{a}{b})^n[/tex]
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{2x - 3y}{3y - 2x}]^2[/tex]
Rewrite the numerator
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{-(3y - 2x)}{3y - 2x}]^2[/tex]
Cross out the common factor of the numerator and denominator
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{-1}{1}]^2[/tex]
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [-1]^2[/tex]
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = 1[/tex]
Hence, the solution is 1; not -1
Her mistake is that, she did not apply the square on -1, after she factorize the denominator
Answer:
incorrect
Step-by-step explanation:
Which number is an integer?
Answer:
Step-by-step explanation:
Can you please specify on that question
Answer:
Integers are numbers that include the negatives, zero and positives.
Step-by-step explanation:
If you ever get confused there's a big circle chart to help you remember look for it online!! What I use to remember is visualizing a number line!
First is the real numbers, so the numbers we were taught since we were little like 1, 2 ,3, 4, 5, 6 and so on. So that's the first part of the number line.
Next is the whole numbers so you just add a zero to that number line. Whole numbers is just all of the real numbers + the number zero.
Then it's the integers so you add the left side of that number line. Integers are real numbers, whole numbers, and negatives. So basically on the number line it's the negatives , zero, and the positives.
Last it's the radicals so all parts of a number like fractions and decimals. So you can add .5 in between the numbers of that numberline.
I hope this strategy helped and if it didn't here's that circle chart!!
I really hope this did help tho!!
10 POINTS! HELP ITS DUE SOON!!
Write the series using summation notation.
(Look at image)
Answer:
10
Σ [n^2]
i=1
Step-by-step explanation:
Hope I helped? I inserted it into a calc and I also got 385 for something if its useful))
Write the rule that defines the function represented by the table
Answer:
y = 2 * 4^x
Step-by-step explanation:
We could define a wide variety of rules!
It turns out that any set of n (x, y) pairs can be modeled by a singular polynomial of degree (n-1) or less, and by infinitely many polynomials of degree n or more! And we're only talking polynomials!
Let's input it into a polynomial interpolation calculator:
[tex](27 x^4)/4 - (63 x^3)/2 + (225 x^2)/4 - (51 x)/2 + 2[/tex]
Well I don't love this.
Let's try to actually look for patterns. We see that the function is rapidly increasing. More and more, actually. Let's look for the ratios of each next y
8/2 = 4
32/8 = 4
128/32 = 4
512/128 = 4
BINGO!
So we can define the rule as:
y = 2 * 4^x
PLZZZZ HELP ME ,Plsss
Answer:
V = 72 ft³
Step-by-step explanation:
V = (3 x 8 x 2) + (4 x 2 x 3) = 72 ft³
Answer:
Try 1,152
Step-by-step explanation:
I think you have to multiply all the numbers and get 1,152. I'm not that good at math but.
PLEASE HELP ME!!! I NEED HELP!!! WILL MARK BRAINLIEST!!!
Answer:
1.) D
2.) F
3.) C
4.) H
Step-by-step explanation:
i am positive on 4, but not totally sure on 1, 2, and 3
Based on this data, what is a reasonable estimate of the probability that the Texas Sharpshooters score exactly
Answer:
The answer is "Its next hockey game is probably the Texas Sharpshooters who've had exactly 1 goal 0.5".
Step-by-step explanation:
The exploratory probabilities are called chances of possible dangers based on previous cases.
[tex]Experimental \ probabilities = \frac{Appropriate \ results}{Total\ results}[/tex]
The chance which Texas Sharpshooters will be scoring precisely
Next game of 1 goal
If demonstrated at the table:
Positive effects are 1 repeated 4 times
So, positive results [tex]= 4[/tex]
Outcomes total [tex]= 8[/tex]
Odds [tex]= \frac{4}{8} = 0.5[/tex]
The probability that Texas Sharpshooters will achieve exactly 1 goal is 0.5