Answers
9514 1404 393
Answer:
(a) 38.3 m horizontal distance
(b) 82.1 m high
Step-by-step explanation:
I like a graphical solution to this problem (attached).
__
If you define h as the horizontal distance to the tower, and t as its height, you can write two equations. Since these sides are adjacent and opposite the given angles, the tangent relationship is useful.
tan(65°) = t/h
tan(40°) = (t -50)/h
__
Multiplying both equations by h and substituting for t, we have ...
h·tan(40°) = h·tan(65°) -50
h = 50/(tan(65°) -tan(40°)) . . . . solve for h
h ≈ 38.3022
Then the tower height is ...
t = h·tan(65°) ≈ 82.1394
The tower is about 38.3 m distant and 82.1 m high.
Related Questions
HELP PLEASE FAST
Select the ordered pairs that are solutions to y<2x+5
(-6,6_ (0,8) (2,-1) (-1,3)
Answers
Answer:
c & d
Step-by-step explanation:
[tex]x = - 6 \: \: 6 \leqslant - 12 + 5 \\ \ \\ 6 \leqslant - 7 \: \: \\ \\ \\ x = 0 \: \: 8 \leqslant 5 \\ \\ \\ x = 2 \: \: - 1 \leqslant 4 + 5 \\ - 1 \leqslant 9 \\ \\ x = - 1 \: \: 3 \leqslant - 2 + 5 \\ 3 \leqslant 3[/tex]
During April, he charges $387.92 to the card, and at the end of April, he makes a payment of $400.00. What will be the new balance on his card?
Answers
What is the volume of this square pyramid?
Answers
Answer:
400m^3
Step-by-step explanation:
Answer: [tex]400m^{2}[/tex]
Step-by-step explanation:
In order to solve this square pyramid's volume, we use the formula:
V = 1/3(B)(h)
Now, we plug in what we know. Since it has a square base, the sides of the base are all the same:
1/3(10*10)(12)
Now we solve:
1/3(100)(12)
1/3(1200)
400
It cost 0.17 to mail a postcard and 0.25 to mail a letter. If Dykov spent $4.35 and wrote postcards and letters to 19 friends, how many postcards did he mail?
Answers
Answer:
14 Letters and 5 Postcards
Step-by-step explanation:
Solve using substitution x=-6 6x+10y=14
Answers
Answer:
(-6 , 5)
Step-by-step explanation:
6x + 10y = 14
6(-6) + 10y = 14
-36 + 10y = 14
10y = 50
y = 5
helpppppppppppppppppppp
Answers
Answer:
6:5:4
Step-by-step explanation:
6 + 5 + 4 = 15
3000/15 = 200
200 x 6 = 1200 = eldest
200 x 5 = 1000 = 2nd eldest
1200 + 1000 = 2200
3000 - 2200 = 800
200 x 4 = 800 = youngest
Answer 6 : 5 : 4
Step-by-step explanation:
Its simply because
1200 ÷ 6 is 200 which is a whole number... If you divide for example 1200 by 7 it wont give you a whole... And also the first number of the ratio should be the greatest since the first child got the most money and the last the least which means the least should be the smallest number.
Find the term a8 for the sequence 6, 24, 96, ....
Answers
Calculate axis of symmetry and vertex for equation 4x squared + 8x = 32
Answers
Answer:
x=2,−4 hope this was help full
Brenya Estate produces a high quality tea branded A, B and C in the ration 1.5: 5: 1. Originally Type A tea costs 1600, type B costs 800 and type C costs 1700 per kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per kg. Determine the production cost for a packet of super tea
Answers
Answer:
The production cost for a packet of super tea is 924.
Step-by-step explanation:
The production cost of the Super tea is given as
[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}[/tex]
Here the costs are given as following
[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg[/tex]
Here
Ratio of A is 1.5Sum of Ratios is 1.5+5+1=7.5Weight is 825 g or 0.825kgCost of A per kg is 1600So
[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg\\Cost_A=\dfrac{1.5}{7.5} \times 0.825 \times 1600\\Cost_A=264[/tex]
The cost of A is 264.
Similarly
[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg[/tex]
Here
Ratio of B is 5Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of B per kg is 800[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg\\Cost_B=\dfrac{5}{7.5} \times 0.825 \times 800\\Cost_B=440[/tex]
The cost of B is 440.
Also
[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg[/tex]
Here
Ratio of C is 1Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of C per kg is 1700[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg\\Cost_C=\dfrac{1}{7.5} \times 0.825 \times 1700\\Cost_C=187[/tex]
The cost of C is 187.
Now the packaging and blending cost for the given package is calculated as
[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}[/tex]
Here
Weight is 825 g or 0.825kgCost of packaging and blending per kg is 40[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}\\Cost_{packaging\ and\ blending}=0.825*40\\Cost_{packaging\ and\ blending}=33[/tex]
Cost of packaging and blending per packet is 33.
So now substituting values of costs in the following equation gives:
[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}\\Cost_{super\ tea}=264+440+187+33\\Cost_{super\ tea}=924[/tex]
The production cost for a packet of super tea is 924.
Debbie McAdams paid 6% interest on a $14,500 loan balance. Jan Burke paid $12,480 interest on a $97,500 loan. Based on 1 year
a. What was the amount of interest paid by Debbie?
Interest paid by Debbie
b. What was the interest rate paid by Jan? (Round your answer to the nearesi tenth percent.)
Interest rate paid by Jan
c. Debbie and Jan are both in the 28% tax bracket. Since the interest is deductible, how much would Debbie and Jan each save in
taxes? (Round your answers to the nearest cent.)
Debbie
Jan
Save in taxes
Answers
Answer:
C
Step-by-step explanation:
You plant a tree that is 36 inches tall. After one year, the tree is 43 inches tall. Which expression describes the percent of increase in the tree's height? 3643×100 43−3643 43−3636×100 43−3643×100
Answers
Answer:
19.4%
Step-by-step explanation:
Given data
Initial height=36in
Final height= 43in
% increase= Final-initial/initial*100
Substitute
% increase= 43-36/36*100
%increase= 7/36*100
%increase= 0.194*100
%increase= 19.4%
Hence the increase is 19.4%
Ramsay cuts out a piece from a circular cardboard for a school project. The radius of the cardboard is 10 inches and the measure of the central angle is 54 degrees, as shown.
What is the length of the curved boundary of the piece of the cardboard Ramsay cuts out?
Leave in terms of π.
Answers
Answer:
34 inches
Step-by-step explanation :
54/360 X 20
Samir buys T-Shirts for $10 each and markups the price by 35%. Samira claims that Samir has to mark each shirt up by $3.50.
Is she correct?
Answers
Answer: she is correct
Step-by-step explanation:
35% in decimal form is 3.50
11 point)
Hospital records show that patients suffering from a specific disease die 40% of the
time. If 5 patients have this disease, how many would you expect to survive?
Answers
Answer:
3
Step-by-step explanation:
If 40% of the patients die, then 60% of the patients survive.
60% of 5 = 0.6 * 5 = 3
pls help and neatly show work
Answers
Answer:
Step-by-step explanation:
(2x^2 + 10x + 7x + 35) - (x^2 - 3x + 5x - 15)
x^2 + 15x + 50
(x + 5)(x + 10)
x = -10
Step-by-step explanation:
a
(x+5)(2x+7)-(x+5)(x-3)
factorize (x+5) out
(x+5)[(2x+7)-(x-3)]
(x+5)(2x+7-x+3)
(x+5)(2x-x+7+3)
(x+5)(x+10)
b. to get the zeros of the equation,
(x+5)(x+10)=0
x+10=0
x=-10
since the other one has been found already
This is due today please help.
What is the area of the shape.
Answer choices:
24 yd2
36 yd2
39 yd2
30 yd2
Answers
24+6=30
9-6=3
3x4=12/2=6
6x4=24
30 yd^2
Jeanie bought a book for $8.98, a pen for $3.27 and a ruler for $1.50. if the sales tax on each of the items is 8%, what is the total amount Jenny must pay for the items including tax?
Answers
Answer:
$14.85
Step-by-step explanation:
8.98 + 3.27 + 1.5 = 13.75
13.75 x .08 = 1.1
13.75 + 1.1 = 14.85
Answer:
$14.85
Step-by-step explanation:
8.98 x.08= 0.7184
3.27 x .08= 0.2616
1.50 x .08= 0.12
8.98 + 0.72= 9.70
3.27 + .26= 3.53
1.50 + 12 =1.62
9.70+ 3.53 +1.62 = 14.85
Which ordered pair is the solution to the system of linear equations y= -7x+2 and. y=9x - 14
A (-5,1)
B (1,-5)
C (5, -1)
D (-1,5P
Answers
The answer is (1,-5), If you put those two on a graph, that point is where they collide.
pleaseeee help me, i dont have much time to finish
Answers
Answer:
[tex]\sqrt{80} \\OR \\ 5\sqrt{4}[/tex]
Step-by-step explanation:
pythagorean theorm
and then simplify with a factor tree or leave it as is.
BRAINLIEST PLEASE IF RIGHT
The mean of the numbers 7, 5x, 4, 8 and 6 is
10. What is the value of x?
Ans:
Answers
Answer:
Step-by-step explanation:
[tex]\frac{7+5x+4+8+6}{5} = 10[/tex]
7+5x+18=50
5x+25 = 50
5x = 25
x = 5
Answer:
25+5x =105
25+5x=505x=50-25x=25/5x=5hope it helps.
2.
Which set of angle measures can be used to construct a triangle?
A. O 50°, 65°, 75°
B.
45°, 60°, 75°
C
45°, 650, 75°
DO 50°, 45°, 75°
Answers
All you gotta do is add all the different options and see which gives you 180 degrees.
Use the diagram to answer, given that line LM is a common tangent to circle P and circle Q. Leave answers in simplified radical when necessary. (Please let me know if the first blank is correct and answer the second one.)
Answers
Answer:
PL = 9
PN = 5√5
Step-by-step explanation:
8/12 = 6/PL
8PL = 72
PL = 9
PN² = 10² + 5² = 100 + 25 = 125
PN = √125 = 5√5
What is 2 to the power of 4 written in expanded form
Answers
Answer:
(4)2
4×4=16 or
(2)4
2×2×2×2=16
both are correct ☺️
Step-by-step explanation:
hope it helps you have a good day
Please Answer the question i dont understand
Answers
Answer:
C. -2 degrees
Step-by-step explanation:
Answer:
the answer would be c. -2 degrees
Step-by-step explanation:
3 - 5 = -2
have a great day
Last week, she bought two pounds and paid $7.96, and this week she bought only one-half pound and paid $1.99. What is the unit rate for the pistachio nuts? How do you know?
Answers
Answer:
$3.98
the unit rate can be determined by dividing the total costs of the pistachio by the total pounds bought
Step-by-step explanation:
unit rate = total cost / total pounds bought
7.96 / 2 = $3.98
1.99 / 0.5 = $3.98
Help fast as you can worth 7 points
Answers
Answer:
d
Step-by-step explanation:
Answer: B
Step-by-step explanation: you have to multiply the 4 and 2
QUICK whoever gives the correct answer gets Brainliest
Answers
Answer:
72.3%
Step-by-step explanation: multiply .723x100 to get 72.3 because your looking for the percent(multiply by 100 when your trying to find what something is as a percent)
A plant inspector takes a random sample of six month old seedlings from a nursery and measures their heights to the nearest mm .
Answers
Answer:
48
Step-by-step explanation:
Mhanifa please help these are my last ones !
Answers
Answer:
#1
x/12 = 2/8x = 12/4x = 3#2
m∠E = 180° - (60° + 53°) = 67° ∠E ≅ ∠H ⇒ ∠D ≅ ∠GΔCDE ~ ΔFGH by AA postulate
#16
a = 3.5 in and k = 2/3, a' = ?a' = ak a' = 3.5*2/3 = 7/2*2/3 = 7/3 = 2 1/3 inCorrect choice is D
HELPPPP PLSSSSSSSSSSSS
Answers
Answer:
A.
Step-by-step explanation: