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An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 15,000 feet, how far is the bird (B) from its nest (N)? Round to the nearest whole number.
A- 8,604
B-12,287
C-18,366
D-21,422
Answers
Answer:
Step-by-step explanation:
This is very obviously a right triangle problem. Side BO is the hypotenuse of the triangle, measuring 15000'. Side BN is the side adjacent to the given angle B, 55 degrees. This is the cosine ratio:
[tex]cos\theta=\frac{adj}{hyp}[/tex]
We will fill in what we know:
[tex]cos(55)=\frac{x}{15000}[/tex] and solving for x:
15000cos(55) = x
Do that on your calculator in degree mode in exactly that order and get that
x = 8603.6 or, rounded as we need:
x = 8604, choice A.
Answer: Yes the answer is A- 8604!!
Related Questions
Raven earns extra money when her neighbors are on vacation. Raven is paid $12 per day when she cares for the Martin family's cat. She paid $5.50 per day when she waters the Clark Family's pants.Write and simplify an expression to represent how much Raven earns if she performs both jobs for n days. Explain what the simplified expression means.
Answers
Answer:
12n + 5.50
Step-by-step explanation:
Since 12 represents how much money she gets paid from the Martin's family: the 'n' is the variable which stands for each day because we don't kknow how many days she watches the cat but when we multiply the 12 by the 'n', we get the days. We add an additional 5.50 because she has a side job as well with the Clark's family. which is how you get 12n+5.50
Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age? i need it with explanation pls
Answers
Answer:
5
Step-by-step explanation:
Fifteen years from now Ravi's age will be four times his present age. What is Ravi's present age? So, Ravi′s present age is 5 years.
Tom used twenty gallons of water to
water his plants for x days. After x
days, he used an additional forty
gallons of water for a day on his pants.
Write an expression that shows how
the total gallons of water Tom used on
his plants.
Answers
Answer:
y=20x + 40x
Step-by-step explanation:
Answer:
y=20x+40
Step-by-step explanation:
y represents how many gallons of water he used
x represents the amount of days
(example) if he watered his plants for 2 days:
y=20(2)+40
y=40+40
y=80
if he watered his plants for 2 days he would have used 80 gallons of water.
if this helped please rate, thanks, and mark brainliest :)
The number r is irrational. Which statement about r+7 is true? r+7 is rational r+7 is irrational r+7 can be rational or irrational depending on the value of r
Answers
Answer: r+7 is irrational
Step-by-step explanation:
1) If r is irrational, that means that it goes on and on forever.
2) 7 is a rational number because it can be expressed as a quotient of 2 integers (7÷1=7)
3) If you add a rational number to an irrational number it is still irrational. The numbers after the decimal point keep going and going. You are just changing the whole number, which if to the left of the decimal point.
for how many values of k will x² + kx + 12 factor?
Answers
Answer:
6
Step-by-step explanation:
We want to factor the trinomial into a product of binomials. In general, we have ...
(x +a)(x +b) = x² +(a+b)x +ab
So, the values of "a" and "b" need to have a product of 12. There are 6 ways to do that:
12 = 1·12 = 2·6 = 3·4 = (-1)(-12) = (-2)(-6) = (-3)(-4)
The values of k are the sums of these factors of 12, so are
1+12 = 13
2+6 = 8
3+4 = 7
-1-12 = -13
-2-6 = -8
-3-4 = -7
There are 6 possible integer values of k that will make the trinomial factorable in integers:
k ∈ {-13, -8, -7, 7, 8, 13}
The given line segment has a midpoint at (3, 1).
On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, negative 2).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
y = One-thirdx
y = One-thirdx – 2
y = 3x
y = 3x − 8
Answers
Answer:
[tex]y=\frac{1}{3}x[/tex]
Step-by-step explanation:
The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)
Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is:
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex].
Therefore the line passing through (2, 4) and (4, -2) has an equation:
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10[/tex]
Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10
Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:
[tex]m_1m_2=-1[/tex].
Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:
[tex]m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}[/tex]
Since it is the perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:
[tex]\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x[/tex]
the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is [tex]y=\frac{1}{3}x[/tex]
Answer:
I believe the answer is A. y = 1/3x
Step-by-step explanation:
Keenan buys an embroidery machine for $1,400. He uses it to embroider
T-shirts. His total profit in dollars from selling the T-shirts is represented with
the function f(x) = 12x - 1,400. When the machine breaks, he pays $135 to
have it fixed. How does that cost affect a graph of Keenan's profit function?
Answers
Answer:
the graph shift down 135 units
Step-by-step explanation:
when there is no fixing cost:
f(x)=12x-1400
when there is fixing cost (0ne time): 12x-(1400+135)
the graph shift down 135 units
Those $ 135 will be added to the fixed cost, by increasing the expense with respect to the embroidery, with which the function will become the following: f (x) = 12x - (1,400 + 135).
Since Keenan buys an embroidery machine for $ 1,400, and he uses it to embroider T-shirts, and his total profit in dollars from selling the T-shirts is represented with the function f (x) = 12x - 1,400, and when the machine breaks, he pays $ 135 to have it fixed, to determine how does that cost affect a graph of Keenan's profit function, the following mathematical analysis must be performed:
Keenan's fixed expense is 1,400, which is the value of the embroider, and which must be considered when evaluating profit or loss from business operations.Thus, 1400 must be divided by the total number of T-shirts sold, to determine the cost per product sold.Therefore, those $ 135 will be added to the fixed cost, by increasing the expense with respect to the embroidery, with which the function will become the following: f (x) = 12x - (1,400 + 135).
Learn more in https://brainly.com/question/15853856
please help me if u do ill give to the best brainliest :)
Answers
Step-by-step explanation:
t in 1200m:
[tex]t = \frac{4500}{x} \\ x = 1200 \\ t = 4500 \div 1200 = 3.75[/tex]
t in 3750:
[tex]t = \frac{4500}{x} \\ x = 3750 \\ t = 4000 \div 3750 = 0.12[/tex]
difference is:
3.75-0.12 = 3.63
Jaya agreed to give matt a loan for $80 but she’ll also be charging him 8% interest.How much will he have to pay her back
Answers
Explanation:
Part. %
——- ——-
Whole. 100
Answer:
Step-by-step explanation:
Let organise our information :
Jaya will charge Matt an 8 percent interest for 80 dollars loanwe can say that :
80 dollars⇒ 100 percentx ⇒ 8 percent
so :
x =( 8*80 )/ 100= 6.4
so the interest is 6.4 dollars
so the total cost is 86.4
Find the measure of angle R.
Answers
18 dogs are in a dog show the number of dogs in the show. The number of dogs in the show was 6 times the number of handlers how many handlers are in the show
Answers
Answer:
H = 3 handlers
There are 3 handlers in the show.
Step-by-step explanation:
Given;
Number of dogs in the show N = 18 dogs
Number of handler in the show H;
The number of dogs in the show was 6 times the number of handlers
N = 6H
H = N/6
Substituting the value of N;
H = 18/6
H = 3
There are 3 handlers in the show.
Answer:
H = 3 handlers
Step-by-step explanation:
Larry spent a total of $\$64.24$ on four books. If each book cost the same amount, how many dollars did each book cost? Express your answer as a decimal.
Answers
Step-by-step explanation:
[tex]64.24 = 4x \\ \frac{64.24}{4} = \frac{4x}{4} \\ 16.06 = x[/tex]
so one book is $16.06
can you pls help thank you
Answers
Answer:
not a function
Step-by-step explanation:
This is not a function. For the value x =2 there are two different y values
To be a function each value of x has only one value for y
This would also fail the vertical line test
Mrs. Oasis drove from Albany to Pittsburgh. She stopped to rest every 95 kilometers. How many stops did she make? How many kilometers were left after her last stop during the trip?
Answers
Answer:
a. 7 times
b. 74.7 km
Step-by-step explanation:
a. From Albany to Pittsburgh, there are 739.7 km.
She stopped to rest after every 95 kilometres:
Therefore, let us find how many times she stopped:
739.7 / 95 = 7.79
We only need the quotient, that is, 7
So she stopped 7 times.
b. After her last stop, she had traveled:
7 * 95 = 665 km
Therefore, the distance she has left after her last stop is:
739.7 - 665 = 74.7 km
What is the volume of the cone below?
A. 5112 units 3
B. 3408 units 3
C. 852st units 3
D. 10,2247 units 3
Answers
Answer:
V =3408 pi units^3
Step-by-step explanation:
The volume of a cone is found by
V = 1/3 pi r^2 h
The radius is 12 and the height is 71
V = 1/3 pi (12)^2 *71
V =3408 pi units^3
Answer:
B
Step-by-step explanation:
Use the formula for the volume of a cone.
v = 1/3πr²h
r = 12
h = 71
v = 1/3π(12)²(71)
v = 1/3π(10224)
v = 3408π
Calculate: 1/1×3 + 1/3×5 + ... + 1/47×49 .
Answers
Answer: 1/1x3+1/3x5 = 14/3 or 4 2/3
Step-by-step explanation:
And please, next time give the problem fully.
Each side of a regular pentagon is m + 10 inches. The formula for finding the perimeter of the pentagon is shown below. P = 5 (m +10) Which equation shows this formula solved for m? A. M = P − 5 / 10 B. M = 5P − 50 C. M = P − 50 / 5 D. M = P/5 − 50
Answers
Answer:
m = p/5 -10
m= (p-50)/5
Step-by-step explanation:
What we practically want to here is to make m the subject of the formula.
Start by opening the brackets
P = 5m + 50
P-50 = 5m
Divide through by 5
(P-50)/5 = m
P/5 -50/5 = m
P/5 -10 = m
The option that looks probable is C ; M = (P-50)/5
Answer:
D.) m=P−505
Step-by-step explanation:
Zia was driving his truck on the super highway. His speed was recorded by the motorway camera between 6:00am to 8:30am. He covered a distance of 250km during this time. Calculate his average speed between this time duration.
Answers
Answer: 100km/hr
Step-by-step explanation:
From the question, we are told that Zia was driving his truck on the super highway and his speed was recorded by the motorway camera between 6:00am to 8:30am and that he covered a distance of 250km during this time.
Average speed is calculated as distance taken divided by the time used. The time used in this question will be: 8.30am - 6:00am = 2.5 hours.
Speed = Distance/Time
= 250/2.5
= 100km/hour
Find the maximum/minimum value of the function y = x2 - (5/3)x + 31/36.
A. 1/6
B. 5/6
C. 25/36
D. 10
Answers
Answer:
A
Step-by-step explanation:
Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then
minimum/ maximum value is the y- coordinate of the vertex.
The x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² - [tex]\frac{5}{3}[/tex] x + [tex]\frac{31}{36}[/tex] ← is in standard form
with a = 1 and b = - [tex]\frac{5}{3}[/tex] , thus
[tex]\frac{x}{vertex}[/tex] = - [tex]\frac{-\frac{5}{3} }{2}[/tex] = [tex]\frac{5}{6}[/tex]
Substitute this value into y
y = ([tex]\frac{5}{6}[/tex] )² - [tex]\frac{5}{3}[/tex] ([tex]\frac{5}{6}[/tex] ) + [tex]\frac{31}{36}[/tex]
= [tex]\frac{25}{36}[/tex] - [tex]\frac{25}{18}[/tex] + [tex]\frac{31}{36}[/tex] = [tex]\frac{1}{6}[/tex]
Since a > 1 then the vertex is a minimum, thus
minimum value = [tex]\frac{1}{6}[/tex] → A
Are the area of a square and the length of its side directly proportional quantities?
Answers
Answer:
Not directly proportional
Yes, The area of a square and the length of its side is directly proportional to each other.
A statement is to justify that the area of a square and the length of its side are directly proportional quantities?
What is a square?A Square is 4 sides geometric shape that has an equal length of sides and always has 90° at its vertices.
Here the area of square = a^2
Where a is the side of the square,
understand by, either way, let we have two square 1 with side 1cm and other with side 2cm.
Now the area of both the squares is 1 and 4 square cm. So area will increase if the length of this side increases or vice versa.
Thus, Yes, The area of a square and the length of its side is directly proportional to each other.
Learn more about squares here:
https://brainly.com/question/14198272
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Can my two questions be answered? Here are the ingredients for making fish pie for 6 people. 180 g flour 240 g flour 4 eggs 180 ml milk a. Claire makes a fish pie for 4 people. Work out how much flour she needs. b. Ian makes a fish pie for 9 people. Work out how much milk he needs
Answers
Answer:
a. 120 grams.
b. 270 ml.
Step-by-step explanation:
a. A fish pie for 6 will need to use 180 grams of flour. That means that a fish pie for 1 will use 180 / 6 = 30 grams of flour. Claire needs to make a fish pie for 4, so she will use 30 * 4 = 120 grams of flour.
b. A fish pie for 6 people requires 180 ml milk. That means that a fish pie for 1 will use 180 / 6 = 30 millilitres of milk. Ian needs to make a fish pie for 9, so he will use 30 * 9 = 270 ml of milk.
Hope this helps!
HI MATHS EXPERTS PLS ANSWER ASAP PLS I AM DESPERATE
Answers
c. 2310 (1st pic)
circumference of circle = 2πr
44= 2 × 22/7 r
44 × 7 / (2 × 22) = r
7 = r
volume of cylinder = πr^2h
= 22/7 × (7)^2 ×15
= 2310
b. -2/x+3 (2nd pic)
(work attached)
a. 80° (3rd pic)
Total number of degrees is 180
180-(60+40)=80
c. 9 (5th pic)
(27^1/3)^2
3^2
=9
sorry i couldn't solve the 4th pic but I hope this helps!
please mark me brainliest!
help me plsss guys x
Answers
Answer:
B. 2/6
Step-by-step explanation:
A fair ordinary dice has 6 sides.
The numbers 4 or 5 on the dice are 2 numbers out of 6 total numbers.
2/6
Answer:
B. 2/6
Step-by-step explanation:
A ordinary dice has 6 sides.
4 and 5 make 2 sides.
So the answer will be 2/6
y=(x+9)÷(x-3)
Find the value of y when x=5
Answers
Answer:
7
Step-by-step explanation:
Simply plug in 5 for x
y = (5 + 9)/(5 - 3)
y = 14/2
y = 7
Answer:
y=(5+9)÷(5-3)
y =14÷2
y=7
Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 temporary employees consist of 3 women and 1 man
Answers
Answer:
70 possible groupsStep-by-step explanation:
Given the total number of employee to be equal to 12 temporary employee.
Number of women employee = 5 women
Number of men employee = 12 - 5 = 7 men
If 4 will be hired as permanent employees, the possible ways they can be grouped so that the 4 temporary employees consists of 3 women and 1 man can be done by applying the combination formula.
Combination has to do with selection. For example, if r objects are to be selected from n pool of similar objects, this can be done in nCr different ways.
[tex]nCr = \frac{n!}{(n-r)!r!}[/tex]
According to question, we are to select 3 women from 5 women and 1 man from 7 men. Based on similarity in sex, this can be done in (5C3* 7C1) different ways .
[tex]5C3 * 7C1\\= \frac{5!}{(5-3)!3!} * \frac{7!}{(7-1)!1!}\\\\= \frac{5!}{2!3!} * \frac{7!}{6!1!}\\\\= \frac{5*4*3!}{3!*2} * \frac{7*6!}{6!*1}\\\\= \frac{20}{2} * \frac{7}{1}\\ \\= 10*7\\\\= 70\ possible\ groups[/tex]
Which expression is equivalent to One-fourth minus three-fourths x? One-fourth (1 + 3 x) One-fourth (1 minus 3 x) One-fourth (negative 1 + 3 x) 4(1 + 3x)
Answers
Answer:
1/4(1 - 3x)
Step-by-step explanation:
Step 1: Write out expression
1/4 - 3/4x
Step 2: Factor out GCF
1/4(1 - 3x)
Answer:
B. 1/4(1-3x)
Step-by-step explanation:
PLEASE ANSWER WILL MARK BRAINLIEST!!!!!!In which scatterplot is the vertical line placed correctly when using the divide-center method to find the regression line? On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 7 points to the left of the line, and 3 points to the right. On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 4 points to the left of the line, and 6 points to the right. On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 6 points to the left of the line, and 4 points to the right. On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 5 points to the left of the line, and 5 points to the right.
Answers
Answer:
Answer Would Be D.
Step-by-step explanation:
There is an even amount of dots on each side of the divider.
Answer:
It is D~~
Step-by-step explanation:
If we were to imagine the trend line and draw a oval around it and then draw a line in the middle, then D would be correct.
btw sorry if this answer... is like... too late. o_o
PLEASE HELP use trigonometry to solve for a missing angle x of the right triangle
Answers
Answer:
x = 80°
Step-by-step explanation:
from SOH CAH TOA
we are going for TOA
where TOA => Tan x = Opposite side of the Angle
Adjacent Side of The Angle
Tan x = 27500
5000
Tan x = 5.5
x = Tan⁻¹ 5.5
or
= arctan 5.5
= 79.70°
≈ 80°
Answer:
x = 80°
Step-by-step explanation:
Acollus
Find the value of x that makes All B.
2
4
5
Z1 = 3x - 160 and 24 = x + 20
x = [?]
Answers
Answer:
x = 90°
Step-by-step explanation:
A // B
When two parallel lines are crossed by a transversal, the angles in matching corners are called corresponding angles and they are equal.
∠1 = ∠ 4
3x - 160 = x + 20
Add 160 to both sides
3x - 160 + 160 = x + 20 + 160
3x = x + 180
Subtract x from both sides
3x - x = x -x +180
2x = 180
Divide both sides by 2
2x/2 = 180/2
x = 90
a traffic light can either be green, yellow or red. for every minute, the light stays green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. At any given moment of the day, what is the probability that the light will be yellow? a. 1/12 b. 1/9 c. 1/8 d. 1/6 e. 1/3
Answers
Answer:
a. 1/12 (hope it help)
Step-by-step explanation:
5sec/60sec=1/12