Answer:
The middle of the sailboat is approximately 268.8 feet from the shore.
Step-by-step explanation:
Let the distance from shore to the middle of the boat be represented by x, the angle of elevation of Sandra from the shore to the top of the boat mast is 7°. Applying the required trigonometric function to this question, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan 7° = [tex]\frac{23}{x}[/tex]
⇒ x = [tex]\frac{23}{Tan 7^{0} }[/tex]
= [tex]\frac{23}{0.12279}[/tex]
= 268.7515
∴ x = 268.8 feet
The middle of the sailboat is approximately 268.8 feet from the shore.
for the function y= -2+5 sin [pi/12(x-2)], what is the maximum value
Answer:
The answer is 0. There is no minum or maxium vaule, it equals 0.
Step-by-step explanation:
Square root & simplifying radicals
√30
Answer:
√30 =
5.4772255751
It can be simplified as this only, not more
find the slope of the line that contains (-1,2) and (2,2)
Answer:
[tex]slope=0[/tex]
Step-by-step explanation:
Use the slope formula:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]
Rise over run is the change in the y-axis over the change in the x-axis from one point to the other. This is also known as the "slope".
Insert the values:
[tex](-1_{x1},2_{y1})\\\\(2_{x2},2_{y2})\\\\\frac{2-2}{2-(-1)}\\\\\frac{2-2}{2+1}\\\\[/tex]
Simplify:
[tex]\frac{2-2}{2+1}=\frac{0}{3} =0[/tex]
The slope of the line is 0. This means that the two points lie on the same horizontal line.
:Done
please answer the question in the photo
Answer:
b
Step-by-step explanation:
i honestly dont know what a and c are but cytokinesis is the division of the cytoplasm eg in binary fission and the question is on chromatids I chose b since in meiosis is where homologous chromosomes fail to separate however this can happen if it's the second phase of meiosis but since in mitosis in anaphase is where sister chromatids can fail to separate I chose it
Al’s Produce Stand Al’s Produce Stand sells 6 ears of corn for $1.50. Barbara’s Produce Stand sells 13 ears of corn for $3.12. Write two equations, one for each produce stand, that model the relationship between the number of ears of corn sold and the cost. Then, use each equation to help complete the tables below.
Answer:
5.9998
Step-by-step explanation:
because thats the answer
The diagonal of a square is 8 cm. What is the length of the side of this square? Give your answer as an exact surd in its simplest form.
Answer:
4[tex]\sqrt{2}[/tex] cm
Step-by-step explanation:
The diagonal divides the square into 2 right angles with legs s and the diagonal as the hypotenuse.
Using Pythagoras' identity in the right triangle , then
s² + s² = 8²
2s² = 64 ( divide both sides by 2 )
s² = 32 ( take the square root of both sides )
s = [tex]\sqrt{32}[/tex] = 4[tex]\sqrt{2}[/tex]
Answer:
Given :
↠ The diagonal of a square is 8 cm.To Find :
↠ The length of the side of square.Using Formula :
Here is the formula to find the side of square if diagonal is given :
[tex]\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} [/tex]
Where :
➺ a = side of square ➺ d = diagonal of squareSolution :
Substituting the given value in the required formula :
[tex]{\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}[/tex]
Hence, the length of the side of square is 5.6 cm.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
7. The annual interest rate is 20%. The balance after the grace period was $15,000. A payment of $2,500 was made on the 3rd day. What is the interest for the month?
Answer:
Interest (I) = $18
Step-by-step explanation:
$15,000 by the end of grace period
$2,500 payment was made by the 3rd day
$15,000/$2500=6
6×3=18
I = PRT/100
I = (15,000 × 20% × 18 days)/100
I = {15,000 × 0.2 × (18/30)}/ 100
I= {15,000 × 0.2 × 0.6}/ 100}
I= {1800}/ 100}
I= {18}/ 1}
Interest (I) = $18
a car traveling at 87 km/h and a bus leave a toll booth at the same time. twenty minutes later the bus is 3 km farther from the toll booth than the car. what is the average speed of the bus
Answer:
96 km/h
Step-by-step explanation:
Speed of car = 87 km/h
Time = 20 minutes = [tex]\frac{20}{60} = \frac{1}{3}\ hrs[/tex]
Distance traveled by bus = 3 km more than that of traveled by car
To find
Average speed of bus = ?
Solution:
Formula for distance traveled is given as:
[tex]Distance = Speed \times Time[/tex]
So, distance traveled by car in 20 minutes = 87 [tex]\times \frac{1}3[/tex] = 29 km
As per given statement, distance traveled by bus = 29 + 3 = 32 km
Time taken = [tex]\frac{1}{3}\ hrs[/tex]
Using the formula:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Speed of the bus =
[tex]\frac{32}{\frac{1}3} = \bold{96\ km/h}[/tex]
Mr. Clifton was preparing for his upcoming birthday party. He ordered 51 white balloons and 47 red balloons. As he walked to his car 12 balloons flew away! With the remaining balloons, he mixed the colors to create bunches of 3 to decorate his party space. How many full bunches did Mr. Clifton have to decorate his party space?
Answer:
28 i think
Step-by-step explanation:
51+47=98
98-12 the ones that flew away that takes it to 86
86/3 the 3 balloons buntch than is 28
p.s. i mght of got some equations wrong but this is what i got
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 236(1.06) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2011? A. 6%; $448.00 million B. 16%; $474.88 million C. 16%; $250.16 million D. 6%; $422.64 million
Answer:
A. 6%, $448 million
Step-by-step explanation:
a) The base of the exponential term is 1.06, so the projected annual growth is 1.06 -1 = .06 = 6%
__
b) Filling in 11 for t, we find the projected worth to be ...
w = 236(1.06^11) ≈ $448 . . . million
The map of a biking trail is drawn on a coordinate grid. The trail starts at P(−2, 1) and goes to Q(6, 1). It goes from Q to R(6, −3) and then to S(9, −3). What is the total length (in units) of the biking trail? 11 15 18 19
Answer:
19
Step-by-step explanation:
Answer:
Hey there!
We use the distance formula to find the distances between each of these points.
From -2, 1 to 6, 1 is a total of 8 units.
From 6, 1 to 6, -3 is a total of 4 units.
From 6, -3 to 9, -3 is a total of 3 units.
8+4+3=15 units.
Let me know if this helps :)
Given that (8,7) is on the graph of f(x), find the corresponding point for the function f(x)+4
Hurry ! I need help
Answer:
( 8,11)
Step-by-step explanation:
When x = 8 the output is 7
The new function
f(x) +4
when x = 8
The output is f(8) +4= 7+4 = 11
( 8,11)
Which expression is not equivalent to the other expressions?
-6(2x-4)
-(12x-6)+18
-3(4x-3)+15
-4(3x+6)
Solve for x. PLZ ANSWER FAST
Answer:
No solutions.
Step-by-step explanation:
7(2) + 39 > 53 and 16(2) + 15 > 31
14 + 39 > 53 and 32 + 15 > 31
53 >_ 53 but, 47 > 31 :/
So even with one the first equation is smaller.
Change histul
bols
A store pays two fees when a customer uses a credit card to make a purchase. These fees include:
A flat fee of $0.15
A processing fee equal to 1.75% of the dollar amount of the purchase
There is no sales tax on the purchase.
What is the amount, in dollars and cents, the store pays in fees for a $60.00 purchase by a customer using a credit
card?**
Answer:
So the amount to pay is $1 and 20 cents ( or a total of 120 cents)
Step-by-step explanation:
Here, we want to know the amount paid as fees for a $60 purchase given that the store has to pay a flat fee of $0.15 and a processing fee of 1.75% of the amount of purchase.
Firstly, we establish that there are two fees to be paid.
We already have a fee of $0.15
The other fee to pay is 1.75% of $60
Mathematically that would be;
1.75/100 * 60 = $1.05
Thus, the fees to be paid on the $60 purchase is $1.05 + $0.15 = $1.20
Which expression converts 100 inches per minute to feet per minute?
Answer:
C 100 inches/ minute * 1 ft/ 12 inches
Step-by-step explanation:
100 inches/ minute
We need to convert inches to ft
12 inches = 1 ft
100 inches/ minute * 1 ft/ 12 inches
Two angles are complementary. One angle's measure is 3 more than 9
times the other angle. What is the measure of each angle? Write each
angle's measure separately.
Answer:
The measure of one angle is 81.3° and the other angle is 8.7°.
Step-by-step explanation:
We are given that two angles are complementary. One angle's measure is 3 more than 9 times the other angle.
Let the measure of one angle be 'x' and the measure of other angle be 'y'.
So, according to the question;
The first condition states that two angles are complementary, this means that the sum of both angles must be equal to 90°, i.e;x + y = 90°
x = 90° - y ---------------- [equation 1]
The second condition states that One angle's measure is 3 more than 9 times the other angle, i.e;x = 3 + 9y ------------ [equation 2]
Now, both the equations we get;
90 - y = 3 + 9y
9y + y = 90 - 3
10y = 87
[tex]y=\frac{87}{10}[/tex] = 8.7°
Now, putting the value of y in equation 1 we get;
x = 90° - y
x = 90° - 8.7° = 81.3°
Hence, the measure of one angle is 81.3° and the other angle is 8.7°.
Please solve.
Essie likes plants. She never misses a chance to go to the nursery section in Home Depot. Essie has a total of $65.50 to spend on her trips to the store over the next three days. On her second trip to the nursery she spent $15.50 dollars more than what she spent on the first trip to the store. On her third trip to the nursery she spent two times much as what she spent on her first trip to the nursery. How much did she spend on her first trip to the nursery? Create a linear equation to model a real-world situation and solve the equation to find the solution
Answer:
Step-by-step explanation:
Let $ x = the amount spent on the first day
The amount spent on the second day = x + 15.50
The amount spent on the third say = 2*x = 2x
Total amount Essie spent on 3 days = $65.50
x + (x +15.50) + 2x = 65.50
x + x + 15.50 + 2x = 65.50
Add like terms
4x + 15.50 = 65.50
Subtract 15.50 from both sides
4x = 65.50 - 15.50
4x = 50
Divide both sides by 4
x = 50/4
x = $ 12.50
The amount spent on the first day = $ 12.50
The amount spent on the second day = 12.50 + 15.50 = $ 28
The amount spent on the third day= 12.50 * 2 = $ 25
At an elite baseball camp, 60% of players can bat both right-handed and left-handed. If 25% of the players who bat left-handed do not bat right-handed, what is the probability that a player selected at random does not bat left-handed?
Answer:
The probability that a player selected at random does not bat left-handed is 20%.
Step-by-step explanation:
Assume that there are a total of 100 baseball players at an elite baseball camp.
The information provided is:
60% of players can bat both right-handed and left-handed. 25% of the players who bat left-handed do not bat right-handed.That is, the number of players can bat both right-handed and left-handed is,
n (L and R) = 60.
Now, if 25% of the players who bat left-handed do not bat right-handed, then 75% of all left-handed players can also bat right-handed.
⇒ n (L and R) = n (L) × 75%
60 = n (L) × 0.75
n (L) = 60/0.75
n (L) = 80
So there are 80 left handed batters.
Compute the number of only left handed batters as follows:
n (Only L) = n (L) × 25%
= 80 × 0.25
= 20
So there are 20 only left handed batters.
Compute the number of only right handed batters as follows:
Total = n (Only L) + n (Only R) + n (L and R)
100 = 20 + n (Only R) + 60
n (Only R) = 20
Thus, the probability that a player selected at random does not bat left-handed is 20%.
NEED HELP!
Create a table of points from the equation f (x)= 3x^2 -8x + 2
Answer:
The second table
Step-by-step explanation:
To create table of points using the function, [tex] f(x) = 3x^2 - 8x + 2 [/tex], substitute the value of x in each case.
Thus,
For x = -1,
[tex] f(-1) = 3(-1)^2 - 8(-1) + 2 = 3(1) + 8 + 2 = 3 + 8 + 2 [/tex]
[tex] f(-1) = 13 [/tex]
For x = 0
[tex] f(0) = 3(0)^2 - 8(0) + 2 = 3(0) - 0 + 2 = 0 - 0 + 2 [/tex]
[tex] f(0) = 2 [/tex]
For x = 1,
[tex] f(1) = 3(1)^2 - 8(1) + 2 = 3(1) - 8 + 2 = 3 - 8 + 2 [/tex]
[tex] f(1) = -3 [/tex]
For x = 2,
[tex] f(2) = 3(2)^2 - 8(2) + 2 = 3(4) - 16 + 2 = 12 - 16 + 2 [/tex]
[tex] f(2) = -2 [/tex]
For x = 3,
[tex] f(3) = 3(3)^2 - 8(3) + 2 = 3(9) - 24 + 2 = 27 - 24 + 2 [/tex]
[tex] f(3) = 5 [/tex]
The second table is the correct answer.
2x+6y=7draw graph and check x=1,y=2 is solution of this equation
Answer:
The solution in the photo
I hope it helps ^_^
Complete the statements. f(4) is . f(x) = 4 when x is
Answer:
x=4
Step-by-step explanation:
it's a identity function because it is in the form of f(x)= x ,so the value of x is 4.
Help me please! I’ll give brainliest
Answer:
200-150 equals 50
Answer:
50 N
Step-by-step explanation:
It is 50 N because person A is pushing with 200 N, and person B is pushing with 150 N. But they are both pushing at the same time. But since person A is pushing with more force with 200 N than person B with 150 N, that only leaves 50 N. So basically person A is pushing with 50 N.
One stool rocks slightly from side to side on your kitchen floor. Which of the two stools could this possibly be? Explain your answer Choices: 3 legged stool, 4 legged stool
Answer:
The four legged stool is the one that rocks slightly from side to side. The three legged stool does not.
Step-by-step explanation:
The four legged stool is the one that rocks slightly because the three legs determine a plane, and the three legs are stuck on that single plane.
Mrs. Galindo decided to make Kool-Aid to serve along with the pizza at the Future Farmers of America party. The directions said to mix a half of a scoop of powdered drink mix with two gallons of water to make each pitcher of Kook-Aid. One of Mrs. Galindo's students said she will mix 4 scoops with 2 gallons of water to make 4 pitchers. Which choice best explains whether the student is correct and why. Question 1 options: The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is correct because 4 pitchers = 4 scoops times 2 gallons The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons The direction's constant of proportionality is 0.25 k = 0.5/4 There is a quarter of a gallon of water per one scoop The student is correct because 4 pitchers = 4 scoops times 2 gallons The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons
Answer:
The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons
Step-by-step explanation:
Direction :
1/2 of a scoop + 2 gallons = 1 pitcher
Mrs. Galindo's students:
4 pitcher = 4 scoops + 2 gallons of water
Correct mixture for 4 pitchers:
1/2 scoop + 2 gallons of water =1 pitcher
For 4 pichers, multiply both sides by 4
1/2(4) scoops + 2(4) gallons of water =4 pitchers
4/2 scoops + 8 gallons of water =4 pitchers
2 scoops + 8 gallons of water =4 pitchers
The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons
2
3
4
5
Which expression is equivalent to (f + g)(4)?
f(4) + g(4)
f(x) + g(4)
f(4 +
| + g(4))
4(f(x) + g(x))
Answer:
(f + g)(4) = f(4) + g(4)
Step-by-step explanation:
(f + g)(4) = f(4) + g(4)
___
The notation (f+g)(x) means that the value of f(x) is added to the value of g(x).
What is x
I dont get it
Answer:
x = 35
Step-by-step explanation:
The angles of a triangle add to 180 degrees
103+ 42 + BCA = 180
BCA = 180 -103 -42
BCA =35
BCA and x are corresponding angles and corresponding angles are equal if the lines are parallel
In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. Radhika answered all the questions and scored 30 marks though she got 10 correct answers. How many incorrect answers had they attempted?
Answer:
10 incorrect answers
Step-by-step explanation:
From the information given, you can say that 5 marks for the number of correct answers minus two marks for the number of incorrect answers is equal to 30 that is the score that Radhika got:
(5*10)-2x= 30, where x is the number of incorrect answers.
Now, you can solve for x:
50-2x=30
50-30=2x
20=2x
x=20/2
x=10
According to this, the answer is that they attempted 10 incorrect answers.
I am an odd two-digit number. The sum of my two digits is 10 and the difference of my two digits is 0. What number am I?
Which equation represents a population of 300 animals that decreases at an annual rate of 23%? A. p=300(1.23)t B. p=300(1.77)t C. p=300(0.77)t D. p=300(0.23)t
For a given initial quantity A, a decrease of x% can be written as:
A - A*(x%/100%) = A*(1 - x%/100%)
With this, we need to construct an exponential decrease equation for the given situation, and we will find that the equation is:
P(t) = 300*(0.77)^t
Now let's see how we found that.
In this case, we know that:
The initial number of animals is 300.
They decrease at an anual rate of 23%.
This means that after the first year, the population will be:
P(1) = 300 - 300*(23%/100$) = 300*( 1 - 0.23) = 300*(0.77)
After another year, the population decreases again, so we get:
P(2) = 300*(0.77) - 300*(0.77)*(23%/100$) = 300*(0.77)^2
Here we already can see the pattern, the population in the year t, we will get:
P(t) = 300*(0.77)^t
Then we can see that the correct option is C.
If you want to learn more, you can read:
https://brainly.com/question/16993154
