PLEASE HELP ASAP
A helicopter hovers 500 feet
above a small island. The
figure shows that the angle of
depression from the helicopter
to point P is 48º. How far off
the coast, to the nearest foot, is
the island?
d ft
(Round the answer to the nearest whole number.)
Answers
Answer:
d = 450 ft
Step-by-step explanation:
Hi there!
First, we can find the angle in the triangle at the point of the helicopter, the angle opposite [tex]d[/tex]. Subtract 48° from 90°:
90-48=42
Now, given that this is a right triangle and we have an angle and the side adjacent the angle, we can solve for [tex]d[/tex] by using the tangent ratio:
[tex]tan\theta=\displaystyle \frac{opposite}{adjacent}[/tex]
Replace θ with 42°, "opposite" with [tex]d[/tex], and "adjacent" with 500 ft:
[tex]tan(42)=\displaystyle \frac{d}{500}[/tex]
Multiply both sides by 500 to isolate [tex]d[/tex]:
[tex]500*tan(42)=d\\450=d[/tex]
Therefore, d = 450 ft when rounded to the nearest whole number.
I hope this helps!
Related Questions
find the shaded area ..
Answers
Answer:
39°
Step-by-step explanation:
The angle adjacent to 115° in the lower triangle = 180° - 115° = 65°
angle on circle in lower triangle
= 180° - (65 + 76)° ← angle sum in triangle
= 180° - 141° = 39°
Angles on the circle subtended from the same arc are congruent, then
shaded angle = 39°
pleaseee answer this question quickly.. I will give brainliest MAKE SURE ITS RIGHT
Answers
Answer:
JKM is acute and MKL is obtuse
Step-by-step explanation:
because an acute triangle's interior angles are always 180° and an obtuse triangle's sum is greater than 90°
Please Help
Select the correct answer.
What is the slope of a line parallel to line r?
A. A line parallel to line r has an undefined slope.
B. 0
C. -1
D. 1
Answers
Answer:
B 0
Step-by-step explanation:
r is a horizontal line
horizontal lines are of the form y= constant
The slope for horizontal lines are 0
Parallel lines have the same slope.
Answer:
B 0
Step-by-step explanation:
the slope of a line is the rise divided by the run, or the Y increase divided by the X increase. the fact that the Y value does not increase makes the slope 0
Find the approximate side length of a square game board with an area of 194 in2.
Answers
Answer:
root 194=13.928 inches
Once upon a time, there was a former whose family raised pigs and chickens. One morning, the farmer's wife looked into the barnyard and told her husband that she counted 24 heads and 80 feet. How many chickens are in the yard? How many pigs are in the yard?
Answers
Using a system of equations, it is found that:
There are 8 chickens in the yard.There are 16 pigs in the yard.-----------------------------------------
This question is solved using a system of equations. I am going to say that:
x is the number of chickens.y is the number of pigs.-----------------------------------------
A chicken has 1 head, as do a pig.There are 24 heads.Thus:
[tex]x + y = 24 \rightarrow y = 24 - x[/tex]
-----------------------------------------
A chicken has 2 feet.A pig has 4 feet.In total, there are 80 feet.Thus:
[tex]2x + 4y = 80[/tex]
-----------------------------------------
Number of chicken:
Since [tex]y = 24 - x[/tex]
[tex]2x + 4y = 80[/tex]
[tex]2x + 4(24 - x) = 80[/tex]
[tex]2x + 96 - 4x = 80[/tex]
[tex]2x = 16[/tex]
[tex]x = \frac{16}{2}[/tex]
[tex]x = 8[/tex]
There are 8 chickens in the yard.
-----------------------------------------
Number of pigs:
[tex]y = 24 - x = 24 - 8 = 16[/tex]
There are 16 pigs in the yard.
A similar problem is given at https://brainly.com/question/24104709
HELP ASAP PLEASE!!!!!
what is the factorization of the polynomial below -x^2-2x+48
Answers
I HOPE IT WILL HELP YOU. I DID HOW I KNOW .
What is the difference between-5and2
Answers
Answer:
7
Step-by-step explanation:
Consider the absolute value of the difference , that is
| - 5 - 2 | = | - 7 | = 7
or
| 2 - (- 5) | = | 2 + 5 | = | 7 | = 7
Answer:
7
Step-by-step explanation:
Difference is - sign so the equation is: 2- -5 which is 7. Or
think a number line, -5 is 5 spots to 0, then two more spots to 2 so 5+2=7
if f(x+1)=3x+4,find f(x) and f(3).
Answers
f(x+1)=3x+4
Let y be x+1 So x=y-1[tex]\\ \sf\longmapsto f(y)=3(y-1)+4[/tex]
[tex]\\ \sf\longmapsto f(y)=3y-3+4[/tex]
[tex]\\ \sf\longmapsto f(y)=3y+1[/tex]
[tex]\\ \sf\longmapsto f(x)=3x+1\checkmark[/tex]
[tex]\\ \sf\longmapsto f(3)[/tex]
[tex]\\ \sf\longmapsto 3(3)+1[/tex]
[tex]\\ \sf\longmapsto 9+1[/tex]
[tex]\\ \sf\longmapsto 10[/tex]
Help I don’t get this
Directions: Write rack of the following statements using a symbolic language.
2. A number is four times larger than the square of half the number.
3. Steven has some money. If he spends $9.00, then he will have of the amount he started with.
4
The sum of a number squared and three less than twice the number is 129.
5. Miriam read a book with an unknown number of pages. The first week, she read five less than of the pages. The
second week, she read 171 more pages and finished the book. Write an equation that represents the total number
of pages in the book
Answers
Answer:
2.)4n>(n/2)^2
3. (The problem isn't clear)
4.)n^2+2n-3=129
5.)n-5=171
Step-by-step explanation:
2.)
4n(four times the number) >(larger than) (n/2)^2 (half the number squared)
4.)
Sum=addition
n^2 (number squared) +2n (twice the number)-3=129
5.)
N(unknown number of pages) -5(amount of pages already read)= 171(the number of pages it took her to finish)
Can someone please explain this step by step.
Answers
Answer:
-5 and 2
-3 and 0
-2 and -1
...gives -3
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-5,2), (-2,-1), (-3,0)
all pairs add up to -3
Find the area of ABCD
Answers
Answer:
Applying Heron's Formula
[tex]s=\frac{2.89+4.3+6.81}{2}[/tex]
[tex]s_1=7[/tex]
[tex]A_1=\sqrt{7(7-2.89)(7-4.3)(7-6.81)}[/tex]
[tex]A_1=10.56[/tex]
Now, [tex]s_2=\frac{6.81+8.59+7.58}{2}[/tex]
[tex]s_2=11.49[/tex]
[tex]A_2=\sqrt{11.49(11.49-6.81)(11.49-8.59)(11.49-7.59)}[/tex]
[tex]A_2=24.69[/tex]
Total Area:
[tex]10.56+24.69[/tex]
[tex]=35.25[/tex]
OAmalOHopeO
Graph the system of inequalities. Then state whether the situation is infeasible, has alternate optimal solutions, or is unbounded. (Assume that x>0 y>0
Answers
Answer:
x
[tex]x \leqslant - y + 1[/tex]
Steps are show in the picture above.
WILL GIVE BRAINLIEST
[tex]\frac{x^2+10x+25}{8x+40}[/tex]
What is an equivalent expression in the lowest terms?
Answers
The final answer is (x+5)/8
Hope this helps please brainliest.
show the work please and thank you
Answers
Answer:
Option a, 13
if you solve it, you get 13 as the answer
³√(5x-1)=4
or, 5x-1=64
or, 5x=65
or, x=13
When you subtract two positive integers is the result always a positive integer
Answers
Sai vì số Nguyên dương nhỏ trừ số nguyên dương lớn bằng số nguyên âm
What is an
equation of the line that passes through the points (-3,-1) and (-4,-4)
Answers
Answer:
y= 3x+8
Step-by-step explanation:
not a 100% sure...
sry if its wrong
(try using Math-way, its rly helpful)
Answer:
Step-by-step explanation:
y=mx+b
To find slope: -4+1/-4+3
Slope=3
y=3x+b
Plug in either points ,as an example, i'll plug in (-3,-1)
-1=3(-3)+b
-1=-9+b
8=b
Finished formula: y=3x+8
Please solve fast. It's really easy!
Answers
Answer:
j = 10.1
Step-by-step explanation:
The difference between 9.5 and 11.3 is
11.3 - 9.5 = 1.8
This is split into 3 divisions, that is
1.8 ÷ 3 = 0.6
Then
j = 9.5 + 0.6 = 10.1
One of the legs of a right triangle measures 11 cm and its hypotenuse measures 13 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
Privacy Policy Terms of Service
Answers
Answer:
17.02939
Step-by-step explanation:
x^{4} - 5x^(2) + 2x + 3 < 0
Answers
the Answer is irrational number
The pizza restaurant down the street wants to advertise on its marquee sign the number of ways you can order a $10 pizza. The restaurant offers 18 toppings and for $10 you can order up to 4 toppings, meaning you can either order 1, 2, 3, or 4 toppings and you can’t order any toppings twice. Use this information to answer the following questions:
a. Is this a permutation problem, a combination problem, or a problem using both elements?
b. Determine how many ways you can order a pizza from the restaurant. Explain what strategies you used.
c. If there were no restriction on the number of toppings you could choose, how would that change the answer?
Answers
Answer:
Step-by-step explanation:
I need help!!
Find the height of this cone using the Pythagorean Theorem.
Answers
Answer:
h = 4sqr(3)
Step-by-step explanation:
r = d/2
d = 8
r = 8/2
r = 4
a = 4
c = 8
b = h = ?
a^2 + h^2 = c^2
4^2 + h^2 = 8^2
16 + h^2 = 64
h^2 = 64 - 16
h^2 = 48
sqrt(h^2) = sqrt(16*3)
h = 4 sqrt3)
Answer:
48
Step-by-step explanation:
Find the measure of the missing arc KN labeled on the graph. Show ll your work that leads the final answer. *
Answers
Answer:
Arc KN = 201°
Step-by-step explanation:
Recall: According to the tangent-secant exterior angle theorem, the measure of the vertex angle formed at an external point where a tangent and a secant meet outside a circle is ½ of the difference between the intercepted major and minor arcs.
Applying this to the problem given, we have:
m<L = ½(Arc KN - Arc KM)
m<L = 70° (given)
Arc KN = ?
Arc KM = 61°
Substitute
70° = ½(Arc KN - 61°)
2*70° = Arc KN - 61°
140° = Arc KN - 61°
140° + 61° = Arc KN
201° = Arc KN
Arc KN = 201°
!20 Point! Please help me find the surface area!
Answers
PLEASE, forgive me but I answered this and hopefully what I see is correct. I’m really sorry if this weren’t the real measurements!
Answer:
192 square inches
Step-by-step explanation:
Surface area questions often include the net for easy answering. All you do is just find the area of each face and add them all up:
As you can see, all triangles in this net of a pyramid are the same, so once we find the area of one triangle, we’ll just multiply by 4:
FIND AREA OF ONE TRIANGLE (1/2 x b x h)
1/2 x 8 x 12 = 48 square inches
MULTIPLY BY 4 for SURFACE AREA:
48 x 4 = 192
so the SA is 192 square inches!
brainliest?
Answer:
The base is 12 the height is 8.
Using the formula of finding the area of a triangle: BH x 1/2
8 x 12 x 1/2 = 48 Area of one triangle.
Since there are 4 equilateral triangles we multiply the area of one triangle 4 times since they are all equal.
48 x 4 = 192 in2 is your surface area
(haven't done this in quite a while so make sure to check other answers for more reassurance)
If YWZ=17, what is WXY?
34
56
17
73
Answers
Answer:
73
Step-by-step explanation:
17×2=34
180-34=146
146/2=73
=73
Write an equation of the line that is parallel to the given line and passes through the given point.
9. y= -2x+6 (0,-4)
10. -2x+3y=12 (3,2)
pls help me!!!!!
Answers
Answer:
9.) y=-2x-4
10.)y=2/3x
Step-by-step explanation:
Parallel lines have the same slope, different intercepts
9.) The slope is -2x
To find the parallel line
y-(-4)=-2(x-0)
y+4=-2x
y-4=-2x-4
y=-2x-4
10.) You must first put the equation in slope-intercept form.
-2x+2x+3y=2x+12
3y=2x+12
Divide by 3
3y/3=2x/3+12/3
Simplify
y=2/3x+4
Slope = 2/3x
y-2=2/3(x-3)
y-2=2/3x-6/3
y-2=2/3x-2
y-2+2=2/3x-2+2
y=2/3x
Find m/ELM if m/ELM = 15x - 1, m/KLE = 20°, and m/KLM = 17x - 1.
Answers
Answer:
∠ ELM = 149°
Step-by-step explanation:
∠ KLM = ∠ KLE + ∠ ELM , substitute values
17x - 1 = 20 + 15x - 1
17x - 1 = 15x + 19 ( subtract 15x from both sides )
2x - 1 = 19 ( add 1 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Then
∠ ELM = 15x - 1 = 15(10) - 1 = 150 - 1 = 149°
Help Pls if you want!!!!
Answers
Answer:
Its 2.5 percent ladd enjoy
Step-by-step explanation:
Answer:
2 per team and 2 left
Step-by-step explanation:
10 can't split into 4 evenly so, you can only give 2 to each team causing there to be 2 left.
4*2 = 8
10-8 = 2
Priya bought a football for £3.50.
She received £1.50 change.
How much money did she give the shop assistant?
£10.00
£4.00
£5.00
Which one £10.00, £4.00 or £5.00?
Answers
Answer:
$5.00
Step-by-step explanation:
$3.50+$1.50=$5.00
£5 - £1.50 = £3.50
The ratio of girls to boys in grade 6 was 3:2 at Lincoln middle school last year. There were 60 kids in grade 6. How many in grade 6 were girls
Answers
Answer:
40 girls 20 boys i think / guess
Step-by-step explanation:
Answer:
20/40
Step-by-step explanation:
i hope it help
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5
Answers
Answer:
either it's 1:3 or 1:6
Step-by-step explanation:
3 students went to the zoo, and 15 students went to the aquarium.
15 plus 3 is 18.
3/18 then reduces to 1/6
therefore it is:
1:6
(before, I got my answer deleted so, maybe it is 1:3, but I solved it and got 1:6)
