Answer:
3 years
Step-by-step explanation:
Jimmy's fishing boat is sailing near the shoreline when a lighthouse on the top of a 250-foot cliff is lit up. If Jimmy's sight line is 400 feet away from the lighthouse, what is the angle of depression from the lighthouse to the fishing
Answer:
32.0054
Step-by-step explanation:
i think
The angle of depression is approximately 32.01 degrees.
To find the angle of depression, we can use the concept of trigonometry. Specifically, we use the tangent function, which relates the height of the lighthouse to the distance from the lighthouse to Jimmy's boat.
Steps to solve:
Let θ be the angle of depression.The height of the lighthouse (opposite side) is 250 feet.The distance from the lighthouse to the boat (adjacent side) is 400 feet.Use the tangent function: tan(θ) = opposite / adjacent.Substitute the values: tan(θ) = 250 / 400.Simplify the fraction: tan(θ) = 0.625.Find the angle by taking the arctangent: θ = [tex]tan^{-1}[/tex](0.625).The result is approximately: θ ≈ 32.01 degrees.Therefore, the angle of depression from the lighthouse to the fishing boat is about 32.01 degrees.
Simplify. Rewrite the expression in the form 5n.
5(2) x 5(5) =
To simplify the expression 5(2) x 5(5), we first calculate the result as 250. To rewrite this in the form 5n, we find a number n such that 5 times n equals 250, which is 50. Thus, the original expression can be written as 5(50).
Explanation:The question asks to simplify the given mathematical expression. The expression is 5(2) x 5(5). When we multiply the numbers in each parenthesis with 5, it simplifies to 10 x 25, which equals 250 when multiplied together. This answer, however, is not in the form of 5n.
To rewrite the answer in form of 5n, we need to find a number that, multiplied by 5, equals to our answer, 250. This number is 50, because 5 times 50 equals 250.
Therefore, the expression 5(2) x 5(5) equals 250 and can be rewritten in the form of 5n as 5(50).
Learn more about Solving Mathematical Expressions here:https://brainly.com/question/34902364
#SPJ3
The test scores for a math class are shown below.
83, 85, 82, 93, 83, 84, 95, 87, 86, 94
What is the standard deviation of the data set? Round your answer to the nearest tenth.
A. 4.8
B. 4.6
C. 4.7
D. 4.3
Answer:
c. 4.7
Step-by-step explanation:
first, you find the mean of data set:
83 + 85 + 82 + 93 + 83 + 84 + 95 + 87 + 86 + 94 = 872/10 = 87.2
then, you take each number and subtract the mean and square it:
(87.2 - 83)² = (4.2)² = 17.64
(87.2 - 85)² = (2.2)² = 4.84
(87.2 - 82)² = (5.2)² = 27.04
(93 - 87.2)² = (5.8)² = 33.64
(87.2 - 83)² = (4.2)² = 17.64
(87.2 - 84)² = (3.2)² = 10.24
(95 - 87.2)² = (7.8)² = 60.84
(87.2 - 87)² = (0.2)² = 0.04
(87.2 - 86)² = (1.2)² = 1.44
(94 - 87.2)² = (6.8)² = 46.24
now, find the mean of the squared numbers:
17.64 + 4.84 + 27.04 + 33.64 + 17.64 + 10.24 + 60.84 + 0.04 + 1.44 + 46.24 = 219.6/10 = 21.96
then, take the square root of the number you just got:
√21.96 = 4.68
and last but not least, round to the nearest tenth: 4.7
Answer:
5.5 is the answer, I just took the test
If m=2, what is the value of 10-3m? Will choose brainliest. Pls provide an explanation.
Answer:
4
Step-by-step explanation:
simplify to find m
assuming m is 2 we plug in 2 for m
10 - 3(2) =
10 - 6 =
4
Determine which Two values the following number is between ? Roots
Answer:
3.30 and 3.32? I think
Step-by-step explanation:
The [tex]\sqrt{11}[/tex] = 3.31
Find the length of side x in simplest radical form with a rational denominator.
Answer:
this looks hard but x can mean area or other
Which of the following could be the equation of the function below? On a coordinate plane, a curve crosses the y-axis at y = negative 1.5. It has a maximum at negative 1.5 and a minimum at negative 2.5. It goes through 2 cycles at pi.
Answer:
y = 0.5 cosine (4 (x - pi/2)) - 2
Step-by-step explanation:
Let's suppose a large triangle has a hole in the middle of it in the form of a rectangle, would you add the rectangle to the area of the triangle or subtract it from the area of the triangle to find the total area? *
Answer:
Subtract
Step-by-step explanation:
There is nothing but a rectangular hole on the triangle. Therefore, subtracting away a piece of the triangle.
Answer:
Add the area of a rectangle
Step-by-step explanation:
You would add a rectangle to the area of the triangle to fill in the missing hole(i think)
John was given a math equation. He completed it in 5 seconds. Is his answer correct? If it is, show how he got the answer. Show your work. See picture down below.
Answer:
He is definitely correct.
Step-by-step explanation:
1 + 1 = 2 is a very easy equation and is the simplest equation to do.
If slope is positive, what direction is the line going ?
Answer:
Step-by-step explanation:
A line has a positive slope if it is slanting upward, toward the right. A line has a negative slope if it is slanting upward, toward the left.
Mark As Brainlist Plz
Step-by-step explanation:
The line would be going up because when the slope is positive that the amounts are increasing, meaning when the slope is positive it’s going up and the opposite of when the slope is negative.
HELP PLEASE!
The LA theorem says that two right triangles will be congruent if they have a congruent ____ and a congruent leg
Writing Trig Ratios.
Answer:
1. 21/28=3/4
2. 16/34=8/17
3. 28/35=4/5
4. 32/24=4/3
5. 30/34= 15/17
6. 24/40=3/5
Step-by-step explanation:
Sin= opp/hyp
Cos= adj/hyp
Tan= opp/adj
Hope this helps!
In reference to patterns there is a process of getting from one term to another or to finding a certain term in the pattern. first two words ru
There is no question asked, and the statement is incomplete, but this describes Series and Sequence. They are usually arithmetic or geometric progressions. A set of numbers are written to follow a particular pattern, when the pattern is clear, one can find any number of the sequence or series.
For example, consider the sequence below (Arithmetic Progression)
2, 4, 6, 8, ...
This sequence has a particular pattern.
The first term of the sequence is
a = 2
The common difference d, which is the difference between any two consecutive terms is
d = 2
The nth term, which is the formula that defines every single term of the sequence is given as
Tn = a + (n - 1)d
Check
T1 = a = 2
T2 = 2 + 2 = 4
T3 = 2 + 2(2) = 6
T4 = 2 + 2(3) = 8
T20 = 2 + 2(19) = 40
And so on.
Geometric progression
2, 4, 8, 16, 32, etc
First term, a = 2
Common ratio r, is the division of a particular number by the number preceding it.
r = 4/2 = 8/4 = 16/8 = 32/16 = 2
The nth term is given as
Sn = ar^(n-1)
S1 = a = 2
S2 = 2×2 = 4
S3 = 2×2^(2) = 8
S4 = 2×2^(3) = 16
S5 = 2×2^(4) = 32
S20 = 2×2^(19) = 1048576
And so on.
Answer:it’s rule
Step-by-step explanation:
I got it right on usatestprep
Can you help me with this I will mark you Brainiest
Answer:
72 nickels
Step-by-step explanation:
First find the total price
.65+ 1.95+.99 = 3.59
The total price is 3.59
A nickel is worth .05 of a dollar
Divide the price by .05
3.59/.05
71.8
Round up
She will need 72 nickels
HI I NEED HELP PLS I SO DUMB TO DO THIS PLS HELP!!
Answer:
see below
Step-by-step explanation:
Angles are named with the vertex listed in the middle of the three letters. For example, ∠AFB is formed by rays FA and FB. Point F is the vertex of the angle, where the rays meet.
Adjacent angles share a ray. Generally the shared ray will be the only ray between the other two rays identifying the angles. For example, ∠AFB and ∠BFC (or ∠CFB) are considered to be adjacent because shared ray FB is between rays FA and FC.
Given the names of two angles, you can look to see if any of the rays are shared.
Looking at the next answer choice, ∠AFB and ∠CFD we see that the rays involved in the first angle are FA and FB; in the second angle they are FC and FD. There are no common rays here, so these angles are not adjacent.
∠BFC and ∠CFD share ray FC. They are adjacent.
∠BFC and ∠DFE have no shared rays.
∠CFD and ∠DFE share ray FD. They are adjacent.
Which statement is true? Click on pic. above.
4/9 of the visitors to the aquarium one afternoon were children, 2/5 were adults, and the rest were senior citizens. If there were 180 people altogether, how many were senior citizens?
Answer:
28 were senior citizens
A common denominator between 9 and 5 is 45.
4 ·5 20 2 ·9 18
9 ·5 45 5 ·9 45
20/45 + 18/45 is 38/45
38/45=x/180
solve for x
38 ·4= 152
45 ·4= 180
152 out of the 180 visitors were NOT senior citizens.
180-152=28
28 visitors were senior citizens
Hope this helped :)
A bag contains 8 red marbles, 7 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?
The exact probability that both marbles drawn will be red is 4/25.
Given that:
Number of red marbles in the bag, R = 8
Number of blue marbles in the bag, B = 7
Number of green marbles in the bag, G = 5
The total number of marbles in the bag is:
T = 8 + 7 + 5
= 20
The probability of drawing a colored marble is the number of marbles of that color by the total number of marbles.
So, P(R) = 8/20, P(B) = 7/20 and P(G) = 5/20
If two marbles are drawn out of the bag, the probability that both marbles are red is:
P = P(R) P(R)
= (8/20)(8/20)
= (2/5)(2/5)
= 4/25
Hence, the probability s 4/25.
Learn more about Probability here :
https://brainly.com/question/32117953
#SPJ2
Final answer:
The exact probability of drawing two red marbles from the bag without replacement is the product of the individual probabilities, calculated as (2/5) × (7/19).
Explanation:
To find the probability that both marbles drawn from a bag will be red, given the bag contains 8 red marbles, 7 blue marbles, and 5 green marbles, we need to calculate the probability of drawing one red marble and then another red marble without replacement.
The total number of marbles in the bag is 8 red + 7 blue + 5 green = 20 marbles. The probability of drawing the first red marble is 8/20, which simplifies to 2/5. After drawing one red marble, there are now 7 red marbles left and the total drops to 19 marbles. The probability of drawing a second red marble is now 7/19.
To find the probability of both events happening, we multiply the probabilities of each event: (2/5) × (7/19). Therefore, the exact probability of drawing two red marbles in succession without replacement is (2/5) × (7/19).
Circle D is shown. Angle A C B intercepts arc A B. Arc A B has a measure of 76 degrees. What is the measure of AngleC ? 38° 76° 90° 152°
The measure of angle C is 38 degrees
What are angles?Angles are the measure of space between intersecting lines or rays
The measure of the arc is given as:
Arc AB = 76 degrees
The angle at the center is half the angle at the circumference.
So, we have:
Angle C = 0.5 * 76 degrees
Angle C = 38 degrees
Hence, the measure of angle C is 38 degrees
Read more about angles at:
https://brainly.com/question/17972372
Answer:
A) 38
<C = 38
Step-by-step explanation:
Find the area of the triangle.
13.9 km
20.6 km
Answer:
A≈143.17
Step-by-step explanation:
(happy to help)
Answer: 143.17
Step-by-step explanation: A = 1/2(l*w)
A = 1/2(286.34)
A = 143.17
The data in the table below for my function. What values in the table would change the relation to NOT be a function?
A) (1,9)
B) (-3,7)
C) (9,4)
D) (6,5)
If we add pair D (6, 5) to the table, then it stops representing a function.
What values in the table would change the relation to NOT be a function?
A relation is not a function if we can see that we have a input that is mapped into two (or more) different outputs.
Notice that in the table we already have an entry with the input x = 6, so we can't add another entry like:
(6, 5)
Because then, the table wouldn't be a function.
Then the correct option is D.
Learn more about functions at:
https://brainly.com/question/11624077
#SPJ3
Help me with this math its probably easy for a lot of you guys
Answer:
1.5
Step-by-step explanation:
Since an object submersed in a fluid displaces its volume in fluid, you can calculate the volume of the ring by measuring how much water it displaces. When the ring is dropped in, the length and width of the container stay the same, while the height increases by 0.25. 0.25*3*2=1.5 cubic inches. Hope this helps!
How can 25/9 be represented as a decimal? PLeasehelp! 1st answer is brainleuses
Answer:
2.8 or 2.77777
Step-by-step explanation:
9 can go into 25 less than 3 times but more than 2
The Massachusetts Department of Employment and Training predicted that there will be 21% more jobs for computer programmers in Massachusetts in 2005 than there were in 1994.
There were 15,970 programming jobs in 1994.
Based on the prediction, about how many total jobs were there available in 2005?
Answer:
19,324
Step-by-step explanation:
The original amount is 100% of the original amount since 100% means a whole amount.
A 21% increase means that the new amount will be 100% + 21% = 121% of the original amount.
Now we calculate 121% of 15,970.
To find a percent of a number, multiply the percent by the number. First, divide the percent by 100 to change it into a decimal.
121% of 15,970 =
= 121% * 15,970
= 1.21 * 15,970
= 19,323.7
Answer:
19,324
2 square pyramids are stacked on their bases. The bases are 2 inches by 2 inches and each pyramid has a height of 3.25 inches.
A cardboard party favor is shaped like two square pyramids stuck together at their bases.
What is the approximate volume of the party favor?
4.3 in.3
8.7 in.3
12.9 in.3
26.1 in.3
Answer:
8.7
Step-by-step explanation:
I just did it and got it right
Answer:
8.7
Step-by-step explanation:
Mark as brainliest!!!!
Find the scale factor of the figures below from left to right given the volume of each .
Explanation:
The volumes are in the ratio 3625:783 which reduces fully to 125:27 after dividing both parts by the GCF 29.
Both 125 and 27 are perfect cubes because 125 = 5^3 and 27 = 3^3
Therefore, the volume ratio 125:27 turns to the linear scale factor ratio 5:3
If you were to cube both sides of the linear ratio 5:3, you would get the volume ratio 125:27. Cube rooting both sides will have you go in reverse.
A fair six sided die is rolled twice.
Calculate the probability of rolling an even number and then a 3.
Give your answer as a fraction in its simplest form.
Answer:
1/12
1/2 x 1/6 = 1/12
half of the numbers are even and 1/6 o the numbers is 3.
Step-by-step explanation:
The probability of rolling an even number and then a 3 is,
⇒ 1 / 12
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Now, the probability of rolling an even number on the first roll.
Then, There are three even numbers 2, 4, and 6 out of the 6 possible outcomes,
so the probability of rolling an even number on the first roll is,
= 3/6,
= 1/2
And, For the probability of rolling a 3 on the second roll.
There is only one outcome that will result in a 3 out of the six possible outcomes,
so the probability of rolling a 3 on the second roll is 1/6.
Now we can multiply the two probabilities together to find the probability of rolling an even number on the first roll and then a 3 on the second roll:
1/2 x 1/6 = 1/12
Hence, the probability of rolling an even number and then a 3 is,
⇒ 1 / 12
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ2
A school paid $31.25 for each calculator. If the school spent $500 on calculators, how many did the school buy?
Answer:
A school paid $31.25 for each calculator.
If the school spent $500 on calculators, the number of purchased calculators:
N = 500/31.25 = 16
Hope this helps!
:)
Answer:
Divide 500 by 31.25$ which equals to 16
What is the following product
Answer:
2nd answer choice
Step-by-step explanation:
One way of doing this problem is to switch over to fractional exponents first.
The given product can be thought of as a square:
the square of (fifth root of 4x^2)
= [ fifth root of 4x^2 ]^2, or
= [(4x^2)^(1/5) ]^2, or
= [ (4x^(2/5) ]^2, or
= 16x^(4/5) This is equal to the 2nd answer choice.
suppose 7,330 dollars is invested at 14.8% per annum for 10 years compounded monthly, how many dollars will be earned in interest during those 10 years, to the nearest cent
Answer:
$24,580.12
Step-by-step explanation:
Lets use the compound interest formula to solve:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, change 14.8% into a decimal:
14.8% -> [tex]\frac{14.8}{100}[/tex] -> 0.148
Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:
[tex]A=7,330(1+\frac{0.148}{12})^{12(10)}[/tex]
[tex]A=31,910.12[/tex]
Now subtract that number from our original amount invested:
[tex]31,910.12-7,330=24,580.12[/tex]
The dollars earned in interest is $24,580.12