The angle of elevation of the top of a tower from two points 121 m and 144 m away from the foot of the tower on th same side are found to be complementary. find the height of the tower.
Answers
Answer:
132 m
Step-by-step explanation:
Refer to attachment for figure.
In smaller triangle with angle theta , we have ,
⇒ tanθ = p/b
⇒ tanθ = h/121m
⇒ tanθ = h/121 m
In triangle with angle 90-∅
⇒ tan(90-θ) = p/b
⇒ cot θ = h/144 m
Multiplying these two ,
=> tanθ . cotθ = h/121 m × h/144m
=> 1 = h²/ (121 m × 144m )
=> h² = 121m × 144m
=> h= √ ( 121m × 144m)
=> h = 11m × 12m
=> h = 132 m
Related Questions
4
In the following figure, the value of x is
20
35°
C
B
Note: Round your answer to the nearest tenth.
Answers
Solve For X. Helppp!
Answers
Answer:
x = 64
Step-by-step explanation:
The 3 angles on the right lie on a straight line and sum to 180° , that is
90 + x + 26 = 180
x + 116 = 180 ( subtract 116 from both sides )
x = 64
Answer:
64
Step-by-step explanation:
You have to do 90 - 26, which will then give you the answer 64
Double check it: 26 + 64 = 90.
y= -5x +10
y= -2x-2
solve by substituions
Answers
Answer:
x = 4, y = -10
Step-by-step explanation:
if both expressions equal 'y' then you can solve by setting them equal to each other:
-5x + 10 = -2x - 2
-3x + 10 = -2
-3x = -12
x = 4
find 'y':
y = -5(4)+10
y = -20 + 10
y = -10
Addison made some chilli with 3/4 of a can of black beans and 5/8 of a can of pinto beans. How many cans of beans did addison use in all?
Answers
Answer:
1 3/8 Cans
Step-by-step explanation:
When you have unlike denominators, Find the Least Common Denominator.
LCD: 8
Multiplying numerators and denominators to get the LCD in all fraction denominators
3 x 2
____ + 5/8
4 x 2
Then you need to re-write the equation with the equivalent fractions.
6/8 + 5/8
Simplify your answer
11/8 = 1 3/8
Solve.
(4 x 104)(2 x 103)
Answers
Answer:
85,696
Step-by-step explanation:
4 x 104 = 416
2 x 103 = 203
No sign between parentheses means that you have to multiply the two outcomes of the parentheses.
416 x 203 = 85,696
simplify this for me please!! Thanks
Answers
Answer: [tex]3^{9}[/tex]
Explanation:
When the base is the same and the terms are being divided, you subtract the exponents and leave the base as it is:
12 - 3 = 9
[tex]3^{9}[/tex]
DONT SEND LINKS Find the value of y given the value of x:
Y=7x, x=-5
Answers
Answer: x = -5
Step-by-step explanation:
Solve equation [2] for the variable x
Plug this in for variable x in
Solve equation [1] for the variable y
find the solution of given expression
[tex] \sqrt{100 \times 16} [/tex]
Answers
Answer:
[tex] \sqrt{100 \times 16} [/tex]=[tex] \sqrt{10² \times 4²} [/tex]=±(10×4)=±40 is your answer
show all steps solving this 2x^2=13x+7
Answers
Answer:
x = -1/2, 7
Step-by-step explanation:
2x^2 = 13x + 7
bring everything to one side: 2x^2 - 13x - 7 = 0
factor it out: 2x1 = 2 and -7x1 = -7.
-7x2 = -14 and 1x1 = 1
-14 + 1 = -13, so these numbers work
you end up with (2x + 1)(x - 7) = 0
solve each section:
2x + 1 = 0 x - 7 = 0
2x = -1 x = 7
x = -1/2
1/5 + 1/6 in fraction formm
Answers
hello please help i’ll give brainliest
Answers
Step-by-step explanation:
I think Gold is the correct answer. Thanks.
Pretty sure the answer is Alloys.
7 Simplify the expressionby
combining like terms
3g+ 21439 +40 +41 =
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{3g + 21,439 + 40 + 41}[/tex]
[tex]\large\text{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{(21,439 + 40 + 41) + (3g) }[/tex]
[tex]\large\textsf{21,439 + 40 + 41}\\\large\textsf{21,439 + 40 = \bf 21, 479}\\\large\textsf{21,479 + 41}\\\large\textsf{= \bf 21,520}[/tex]
[tex]\large\textsf{3g = \bf 3g}[/tex]
[tex]\large\textsf{= \bf 3g + 21, 520}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 3g + 21,520}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please help me with this one!!
Answers
Answer:
1/18 simplified or in this case 2/36 (The first option)
Step-by-step explanation:
Well there are 36 outcomes of 2 dice rolls. Only 2 of them will get you 3, 1 and 2 and 2 and 1. So 2/36
13. ¿Cuál es el vértice de la parábola y=2x^2-16x+2?
A) (4.-30)
B) (4,0)
C) (-4,38)
D) (-4,-30)
E) (5,2)
Answers
Answer:
i dont know the language .................
Step-by-step explanation:
What conclusion can be made for c and e? Triangle ABC has side AB measuring c, side BC measuring 4 units, and angle ACB measuring 36 and a half degrees. Triangle ABC is connected to triangle ACD by shared side AC. Triangle ACD has side AD measuring e and angle ACD measuring 27 and 8 tenths degrees. Segments BC, AC, and DC are marked congruent. c ≥ e c ≤ e c > e c < e
Answers
Answer:
IM ALSO DOING THIS TEST; I'm almost 100% sure it's C>E, since E is a line segment and C is an angle containing two line segments.
Step-by-step explanation:
I'm honestly not sure, but If it's wrong when I submit the test I will tell you <3
Answer:
c > e
Step-by-step explanation:
I actually got it right on part one of my test
Round 33.825 to the nearest hundredths in place
Answers
Answer:
33.83
Step-by-step explanation:
Answer:
33.83
^Hope this helps, Hazel^Jeanne wants to start collecting coins and orders a coin collection starter kit. The kit comes with three coins chosen at random, each in a small envelope. Each coin is either a nickel, a dime, or a quarter. Use conditional probability to solve the following:
What is the probability that all three coins are quarters if the first two envelopes Jeanne opens each contain a quarter?
What is the probability that all three coins are different if the first envelope Jeanne opens contains a dime?
A)1/3;2/9
B)1/5;5/6
C)3/10;6/10
D)1/2;3/6
Answers
Answer:
1/3
Step-by-step explanation:
Answer:
1/3; 2/9
Step-by-step explanation:
1.9h + 42.9 > 65.7
solve for h
Answers
Answer:
h > 12
Step-by-step explanation:
have a good day!! :)
Answer:
H>12
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "65.7" was replaced by "(657/10)". 3 more similar replacement(s)
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
(19/10)*(h)+(429/10)-((657/10))>0
Step by step solution :
STEP
1
:
657
Simplify ———
10
Equation at the end of step
1
:
19 429 657
((—— • h) + ———) - ——— > 0
10 10 10
STEP
2
:
429
Simplify ———
10
Equation at the end of step
2
:
19 429 657
((—— • h) + ———) - ——— > 0
10 10 10
STEP
3
:
19
Simplify ——
10
Equation at the end of step
3
:
19 429 657
((—— • h) + ———) - ——— > 0
10 10 10
STEP
4
:
Adding fractions which have a common denominator :
4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
19h + 429 19h + 429
————————— = —————————
10 10
Equation at the end of step
4
:
(19h + 429) 657
——————————— - ——— > 0
10 10
STEP
5
:
Adding fractions which have a common denominator :
5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(19h+429) - (657) 19h - 228
————————————————— = —————————
10 10
STEP
6
:
Pulling out like terms :
6.1 Pull out like factors :
19h - 228 = 19 • (h - 12)
Equation at the end of step
6
:
19 • (h - 12)
————————————— > 0
10
STEP
7
:
7.1 Multiply both sides by 10
7.2 Divide both sides by 19
Solve Basic Inequality :
7.3 Add 12 to both sides
h > 12
Inequality Plot :
7.4 Inequality plot for
1.900 X - 22.800 > 0
Please help with this question.
Answers
Answer:
45 in³
Step-by-step explanation:
LxWxH = V
length x width x height = Volume
5 x 3 x 3 = 45
Answer:
45 inches
Step-by-step explanation:
Give two real world examples of a "sector" of a circle.
Answers
Answer : One of the most common real-life examples of the area of a sector is a slice of a pizza. The shape of slices of a circular pizza is like a sector. A pizza of 7 inches radius is sectioned into 6 equal slices as shown in the below figure. Each slice is a sector.
Step-by-step explanation:
2y-6=6x how do i find y
Answers
Answer:
y=3x+3
Step-by-step explanation:
Let's solve for y.
2y−6=6x
Step 1: Add 6 to both sides.
2y−6+6=6x+6
2y=6x+6
Step 2: Divide both sides by 2.
2y /2 = 6x+6 /2
y=3x+3
brainliest please?Answer:
y=3x+3
Step-by-step explanation:
add 6 to both sides and then divide both sides by 2
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 7
Blue 15
Green 6
Yellow 5
Purple 8
Based on these results, express the probability that the next spin will land on purple as a decimal to the nearest hundredth.
Answers
Answer:
The probability that the next spin will land on blue is 0.12.Step-by-step explanation:
The result of the several spins are as follows:
Color Frequency
Red 18
Blue 9
Green 18
Yellow 19
Purple 12
TOTAL 76
Compute the probability that the next spin will land on blue as follows:
Thus, the probability that the next spin will land on blue is 0.12.
Determine the intercepts of the line.
x-intercept:
y-intercept:
Answers
Answer:
x = -7.5
y = 5.5
Step-by-step explanation:
Used graph
A truck produces 22 pounds of carbon dioxide for every gallon of diesel fuel burned. The fuel economy of the truck is 18 miles per gallon. Write and graph a function that describes the relationship between carbon dioxide produced and distance traveled.
Answers
Answer:
22 pounds of carbon dioxide
18 miles per gallon
A company logo is shaped like an equilateral triangle with 3-inch long sides. What is the height of the logo? Round to the nearest tenth.
Answers
Answer:
about 2.6 in.
Step-by-step explanation:
[tex]h=\frac{s\sqrt{3}}{2}\\\\h=\frac{3\sqrt{3}}{2}\\\\\frac{3\sqrt{3}}{2}\approx2.6\\\\h\approx2.6[/tex]
Please help me for my homework
Answers
Answer:
m<CAO = 56
Step-by-step explanation:
When two parallel lines are intersected by a transversal, the same-side interior angles are supplementary, meaning that their angle measures add up to (180) degrees. Using this information, substitute in the given values and solve for the unknown,
(m<DOA) + (m<CAO) = 180
Substitute,
3x + 40 + 2x = 180
Simplify,
5x + 40 = 180
Inverse operations,
5x + 40 = 180
-40 -40
5x = 140
/5 /5
x = 28
Now substitute the value of (x) back into the given expression for the value of (<CAO). Solve to find the numerical value.
<CAO = (2x)
= 2(28)
= 56
Find the length of a side of a square with area of 2 66 m .
Answers
Answer:
Step-by-step explanation:
17, is the answer.
The population of rabbits on an island is growing exponentially. In the year 2000, the
population of rabbits was 220, and by 2004 the population had grown to 350. Predict
the population of rabbits in the year 2011, to the nearest whole number.
Answers
Answer:
Step-by-step explanation:
630
Answer:
789 to nearest whole number.
Step-by-step explanation:
In 4 years its increased from 220 to 350.
350 = 220(e)^4k where k is some constant.
e^4k = 350/220
4k = ln (350/220) = 0.4643
k = 0.1161
The equation of growth is therefore
P = 220e^0.1161t)
So in 2011 ( t = 11 years) the
Population = 220 * e^(11*0.1161)
= 789.
Find the first four terms of the sequence, an = 4 − 2n
Answers
Answer:
2, 0, -2, -4
Step-by-step explanation:
an = 4 − 2n
a1 = 4 - 2(1) = 2
a2 = 4 - 2(2) = 0
a3 = 4 - 2(3) = -2
a4 = 4 - 2(4) = -4
Answer:
(2, 0, -2, -4)
Step-by-step explanation:
a(1) = 4 - 2(1)
= 4 - 2
= 2
a(2) = 4 - 2(2)
= 4 - 4
= 0
a(3) = 4 - 2(3)
= 4 - 6
= -2
a(4) = 4 - 4(4)
= 4 - 8
= -4
BRAINIEST TO WHOEVER RIGHT
Answers
Answer:
11
Step-by-step explanation: