Posted this question 1000times. Plz some answer plz plz i beg. Plz show all working, thank you sir
Answers
Answer:
[tex]\approx 26.16\:\mathrm{m}[/tex]
Step-by-step explanation:
Let [tex]h[/tex] be the height of the tree. In reference to the tree and bird, a right triangle is formed. We can write the following trig function for that right triangle:
[tex]\tan28^{\circ}=\frac{h}{15},\\h=15\tan28^{\circ},\\h\approx 7.98\:\mathrm{m}[/tex].
Now we can use this to find the hypotenuse of this triangle (the distance between the cat and the bird):
Let the distance between the cat and bird be [tex]k[/tex]. Then,
[tex]7.98^2+15^2=k^2,\\k\approx 16.99\:\mathrm{m}[/tex]. This is one side of the triangle that is formed by the cat, bird, and mouse.
The right triangle formed by the tree, cat, and mouse shares the height [tex]h[/tex] with the other right triangle, as we found earlier. Let [tex]l[/tex] represent the hypotenuse of this triangle or the distance between the cat and mouse. We then have the following trig function:
[tex]\sin 40^{\circ}=\frac{7.98}{l},\\l=\frac{7.98}{\sin40^{\circ}}\approx 12.41\:\mathrm{m}[/tex]. This is another side of the triangle that is formed by the cat, bird, and mouse.
The triangle that is formed by the cat, bird, and mouse has shares an angle of [tex]125^{\circ}[/tex] with the base of the auxiliary pyramid. The other angles, however, are not shared.
Since we have two sides and the angle between these two sides, we can use the Law of Cosines to find the other side (the distance between the mouse and bird). The Law of Cosines is given by:
[tex]m^2=k^2+l^2-2kl\cos M[/tex], where [tex]m[/tex] is the distance between the bird and the mouse and the other variables are defined above.
Plugging in values, we get:
[tex]m^2=16.99^2+12.41^2-2\cdot16.99\cdot12.41\cdot\cos 125^{\circ}[/tex]
Solving, we get:
[tex]m\approx \fbox{$26.16\:\mathrm{m}$}[/tex].
Related Questions
3. Frank is considering two cell phone plans. The first company charges $120 for the
phone and $30 per month for the calling plan that Juan wants. The second company
charges $40 for the same phone but charges $45 per month for the calling plan that
Juan wants. After how many months would the total cost of the two plans be the same?
Representations:
Equations:
Answers
Answer:
5.333 months
Step-by-step explanation:
Company A: 120+30x
Company B: 40+ 45x
120+30x=40+45x
80=15x
80/15=x
5.33333=x
Solve by elimination.
2x + 8y = 60
5x + 4y = –10
Answers
Answer:
2x + 8y = 60= 30
5x + 4y = –10= -2
Step-by-step explanation:
Simplifying
2x + -8y = 60
Solving
2x + -8y = 60
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8y' to each side of the equation.
2x + -8y + 8y = 60 + 8y
Combine like terms: -8y + 8y = 0
2x + 0 = 60 + 8y
2x = 60 + 8y
Divide each side by '2'.
x = 30 + 4y
Simplifying
x = 30 + 4y
The perimeter of a college basket ball court is 96 m and the length is 14m
more than the width. What are the dimensions?
Answers
width=17m
length= 31m
Step-by-step explanation:
width = x
length= x+14
perimeter = 96m
2(x+x+14)=96
4x+28=96
4x=68
x=17
width=17m
length= 31m
conclude the data below:
(Harvard is the top one)
( Cornell is the lowest one)
select all that apply.
a. Harvard has a smaller IQ when compared with Cornell.
b. should choose Harvard cuz earn more than Cornell.
c. should choose Cornell cuz it’s higher.
d. a higher percent from Cornell earn more.
e. harvard has the higher range.
Answers
Answer:
b and e I think. would be helpful to have more info
Step-by-step explanation:
in the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.
Helpppp
Answers
Part A = 46
64+70=134, 180-134=46
Part B
PRD and BPR are same side interior meaning they are supplementary so
BPR=70 and APB is a straight line meaning it = 180 which gives you
64+70+x=180
The measure of angle x is 50 degrees.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles.
We can see that Angle BPR and angle PRD are supplementary angles, thus their sum is equal to 180
Angle BPR + 115 = 180
Now subtract 115 from both sides;
BPR = 65
Also, the angles APQ, x, and BPR form a straight line and their sum is equal to 180
65 + x + 65 = 180
Now add like terms;
130 + x = 180
x = 50
Learn more about supplementary angles here:
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brainly and points :)
Answers
Answer:
[tex]\mathrm{B.\:}408\:\mathrm{ft^2}[/tex]
Step-by-step explanation:
The total surface area of this pyramid consists of four triangles and a square. We can add the area of each to find the total surface area:
[tex]4\cdot \frac{1}{2}\cdot11\cdot12+12^2=\fbox{$408\:\mathrm{ft^2}$}[/tex].
Reduce to simplest form.
-7/12 +3/8
Answers
Answer:
-5/24
Step-by-step explanation:
here u gooo :).....
12. The original price of a stove was $480. Its price has since increased by $30. The stove is
currently on sale for 10% off. What is the sale price for the stove?
A $459
B. $462
C. $472
D. $500
Answers
Answer:
A. $459
Step-by-step explanation:
92
7683
What the answer
Answers
Answer:
9
Step-by-step explanation:
HELPPO ME PLEASEE!!!!!!
Answers
Answer:
Here,
x + 25° + 3x + 95° + 80°=360° (Sum of angles of a quadrilateral is 360°)
or,x+3x + 25° + 95° + 80° =360°
or,4x + 200 = 360°
or,4x = 360 - 200
or,4x = 160
or,x = 160÷4
or,x = 40
Now,
Angle K = (x + 25)° = 40 + 25° = 65°
Angle L = 3x° = 3 × 40° = 120°
A passenger jet can travel 600 miles per hour. How long
would it take a jet traveling at that speed to cross 3000 miles of ocean?
Write an equation and solve the problem.
Answers
Answer:
the answer would be 5 hours
Step-by-step explanation:
we know he has 3000 miles to travel so if he travels 600 mph than you would have to divide.
3000/600 = 5
another way you could solve it is to take two zeros from each point so that you have 30 and 6, then you divide then.
30/6 = 5
and ta da the question is sloved!!!
Which number is greater than 5.63? *
A.5.658
B.5.628
C.2.758
D.0.688
Answers
Answer:
A
Step-by-step explanation:
The other values are lesser than 5.63
Answer:
5.658-A
Step-by-step explanation:
Isaiah leaves one city at noon. He has to be at another city at 186 km away at 3:00 P.M. The speed limit the entire way is 65 km/h. Can he arrive at the second city on time? Explain your reasoning using mathematical evidence.
Answers
Answer:
From noon to 3 pm, there are three hours so the average speed Isaiah will need to arrive in another city in 3 hours is 186/3 = 62 km/h. Since this is less than the speed limit, Isaiah can go an average speed between 62 km/h to 65 km/h to arrive at the second city on time.
Step-by-step explanation:
Round 344,501 to the nearest ten thousand
Answers
Answer:
340,000
Step-by-step explanation:
340e3
Directed line segment overline FG has endpoints F(4, 9) and G(- 8, - 9) .On the coordinate plane below , plot a point that partitions the directed line segment in a ratio of Point 1/2 Undo Reda x Reset 10 8 7 65 443 2
Answers
Answer:
The coordinates of the point that makes the division in the given ratio is (0,3)
Step-by-step explanation:
Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2
We simply use the internal division formula
That would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
m = 1 and n = 2
(x1,y1) = (4,9)
(x2,y2) = (-8,-9)
Substituting these values into the formula, we have;
2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)
= (8-8)/3 , (18-9)/3
= (0,3)
Which inequality is true when x=7 ?
A
x + 6 ≥≥ 18
B
x - 6 >> 18
C
11 - x ≤≤ 18
D
11 + x << 18
Answers
Suppose that you bought a new car at a price of $27,600.
According to research on this make and model, similar cars
have straight line depreciated to o value after 12 years. How
much will your car be worth after 9 years?
c. What is the equation of the line?
A. y = 2300x + 27600
B.y=-2300x + 27600
C.y= -2300(9) + 27600
D.26700-12 = y
Answers
Answer:
b
Step-by-step explanation:
because its minus
i think
what is -23 = -11n + 10 + -3 + 9b = -48 i nEeEd HalPPP
Answers
meh not good at this
Answer:
WHAT IS HE SAYING?!
SOMEONE TELL ME WHAT HE'S SAYING, I DON'T SPEAK TACO BELL.
Explanation:
978/33
Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 18 years?
Answers
Answer: A≈47791.31
Step-by-step explanation:
A
=
P
(
1
+
r
n
)
n
t
A=P(1+
n
r
)
nt
Compound interest formula
P
=
25000
r
=
0.036
t
=
18
n
=
365
P=25000r=0.036t=18n=365
Given values
A
=
25000
(
1
+
0.036
365
)
365
(
18
)
A=25000(1+
365
0.036
)
365(18)
Plug in values
A
=
25000
(
1.0000986301
)
6570
A=25000(1.0000986301)
6570
Simplify
A
=
47791.3122461
A=47791.3122461
Use calculator
A
≈
47791.31
A≈47791.31
The amount after 18 years will be $47,791
What is compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given that, Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded daily.
A = P(1+r/365)^n*365
A = 25000(1+0.00009863)^6570
A = 25000(1.00009863)^6570
A = 47,791
Hence, The amount after 18 years will be $47,791
For more references on compound interest, click;
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A teenager has $20 to spend at the fair. The teenager rides 5 roller coasters and has $13.75 left. Each roller coaster costs the same amount.
How much does each roller coaster cost to ride, in dollars and cents?
Answers
Answer:
Each ride costs $1.25
Step-by-step explanation:
$20 - $13.75 = $6.25
$6.25 / 5 = $1.25
Answer:
1.25 per ride
Step-by-step explanation:
Subtract 13.75 from 20. You get 6.25. Divide 6.25 by 5.
State if the two triangles are congruent. If so, state how you know.
Answers
Answer: They are congruent, because the angle representers are equal on both triangles
Step-by-step explanation:
Rewrite the following sentence as an equation.
The product of three and the sum of a number and
two is zero.
Answers
Answer:
3(2+x)=0
Step-by-step explanation:
Here are some vocab words:
Product: Multiplication
Sum: Addition
"A number": x
3(2+x)=0
△RST ~ △RYX by the SSS similarity theorem.
Which ratio is also equal to StartFraction R T Over R X EndFraction and StartFraction R S Over R Y EndFraction?
StartFraction X Y Over T S EndFraction
StartFraction S Y Over R Y EndFraction
StartFraction R X Over X T EndFraction
StartFraction S T Over Y X EndFraction
Answers
Answer:
Answer would most likely be option D. StartFraction S T Over Y X EndFraction
Explanation:
Take care..
please help and show work if you can
Answers
Answer:
14. x = 6, y = 8
15. x = 5, y = 7
16. x = 7, y = 10
Step-by-step explanation:
For a parallelogram, the length across the point of intersection of its diagonals are equal.
So that;
14. PT = TR
QT = TS
So that,
2x = y + 4
2x - y = 4 ...........1
x + 2 = y
x - y = -2 ............. 2
subtract equation 2 from 1,
x = 6
substitute the value of x in equation 1,
2 x 6 - y = 4
y = 12 - 4
= 8
x = 6, y = 8
15. PT = TR
QT = TS
x + 2 = y
x - y = -2 .......... 1
2x = y + 3
2x - y = 3 ......... 2
Subtract equation 1 from 2
x = 5
substitute the value of x in equation 1
5 - y = -2
5 + 2 = y
y = 7
x = 5, y = 7
16. PT = TR
QT = TS
y = x + 3
x - y = -3 ......... 1
2y = 3x -1
3x - 2y = 1 ......... 2
Multiply equation 1 by 2 to have;
2x - 2y = -6 ....... 3
subtract equation 3 from 2
x = 7
substitute the value of x in equation 1
7 - y = -3
-y = -7 -3
-y = -10
multiply through by minus
y = 10
x = 7, y = 10
PLZZZ ANSWERRR FASTT
Answers
Answer:
>
Step-by-step explanation:
33/8=4.125
8>4.125
Find the value of x.
30
30
Answers
Answer:
30
.......................
Mario's plumbing service
Charges $40 to make a house
Call plus $25 an hour.
y=40+25h
Fill in the chart
Answers
Answer:
So, hour 0 and charge is 0. hour 1 is 25, hour 2 is 50, hour 3 is 75, hour 4 is 100 and hour 5 is 125
Step-by-step explanation:
For every hour, add 25 in each box.
Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.
Answers
Complete question :
Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.
Set up an equation such that Tn represents the total amount Simon still owes after n months.
Calculate the amount Simon still owes at the end of one year after his purchase.
Answer:
Tn = 2900 - 180(n - 1)
Tn = $920
Step-by-step explanation:
Cost of furniture = $2900
Assume no interest
Amount paid in first month = 0
Constant amount to be paid after first month = $180
T amount owed after n, months :
Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)
Hence,
Tn = 2900 - 180(n - 1)
Amount owed at the end of one year after purchase :
Tn = 2900 - 180(12 - 1)
Tn = 2900 - 180(11)
Tn = 2900 - 1980
Tn = $920
The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is :
Tn = 2900 - 180(n - 1)
Tn = $920
"To understand the calculation, check below."
InterestWhat all information we have ?
Cost of furniture = $2900
Assume no interest
Amount paid in first month = 0
Constant amount to be paid after first month = $180
T amount owed after n, months :
Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)
Tn = 2900 - 180(n - 1)
Tn = 2900 - 180(12 - 1)
Tn = 2900 - 180(11)
Tn = 2900 - 1980
Tn = $920
The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is Tn = $920.
Learn more about "Interest":
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Which set of expressions below does NOT represent equivalent expressions?
A. 8(3x + 7) and 8(3x) + 8(7)
B. 3(8x + 7) and 11x + 10
C. 7(3x + 8) and 7 ∙ 3x + 7∙ 8
D. 3(7x + 8) and 21x + 24
Answers
Answer:
B
Step-by-step explanation:
The other are equal
What is the value of x in the equation 25x2 = 16. A. 5/4. B. 4. C. 4/5. D. 16/25
Answers
Answer:
x = ⅘
Step-by-step explanation:
For clarity, exponents should be marked with a ^. 25x² can be written as 25x^2.
25x² = 16
divide both sides by the 25
x² = 16/25
take the square root of both sides
x = √(16/25) = √16/√25 = 4/5