Answer:
Step-by-step explanation:
The angle of depression is the angle between the line of sight and a vertical line.
The distance between the two skyscrapers is 1269ft
I've added as an attachment, a figure that illustrates the scenario
First, we calculate distance AB using the following tangent ratio
[tex]\mathbf{\tan(\theta) = \frac{Opposite}{Adjacent}}[/tex]
So, we have:
[tex]\mathbf{\tan(60) = \frac{AB}{1250}}[/tex]
Make AB the subject
[tex]\mathbf{AB = 1250 \times \tan(60)}[/tex]
Next, we calculate distance AC using the following tangent ratio
[tex]\mathbf{\tan(\theta) = \frac{Opposite}{Adjacent}}[/tex]
So, we have:
[tex]\mathbf{\tan(60+10) = \frac{AB + BC}{1250}}[/tex]
[tex]\mathbf{\tan(70) = \frac{AB + BC}{1250}}[/tex]
Make AB + BC, the subject
[tex]\mathbf{AB + BC = 1250 \times \tan(70)}[/tex]
Make BC the subject
[tex]\mathbf{BC = 1250 \times \tan(70) - AB}[/tex]
Substitute [tex]\mathbf{AB = 1250 \times \tan(60)}[/tex]
[tex]\mathbf{BC = 1250 \times \tan(70) - 1250 \times \tan(60)}[/tex]
[tex]\mathbf{BC = 1269}[/tex]
Hence, the distance between the two skyscrapers is 1269ft
Read more about angles of depression at:
https://brainly.com/question/13697260
someone please help me with this problem
Answer:
x=45
y=135
z=45
Yesterday movie theaters sold 261 bags of popcorn a large bag of popcorn cost three dollars a small bag of popcorn cost one dollar in all the movie theater made $443 from popcorn sales right and solve a system of equations to find how many bags of each size of popcorn were sold
A test of a new car results in 370 miles on 10 gallons of gas. How far could you drive on 65 gallons of gas?
Show your work
Answer:
2405 miles
Step-by-step explanation:
370÷10 = 37
37×65 = 2405
How much more than the original $10,000 do you pay in interest?
Answer:
In a savings account earning 0.01%, your balance after a year would be $10,001.
Step-by-step explanation:
how many oz are in 1 gallon and a cup
72038302229877777389Step-by-step explanation:
PLEASE HELP ASAP!! DUE TODAY
Answer:
Step-by-step explanation:
when 1/2 inch equals 4 feet the room is 2.25 inches, then
2 1/4 = 8/4 + 1/4 = 9/4
9/4 inches is the scale distance of the room
each 1/2 inch is 4 feet so divide 9/4 by 1/2 then multiply that by 4 to find the distance of the room
9/4 ÷ 1/2 = 9/4
9/4 * 2/1 = 18/4
18/4 = 9/2
9/2 * 4 feet = 9/2 * 4/1
9/2 * 4/1 = 36/2
36/2=18
the room is 18 feet across
then if the scale is 2/3 of an inch is 4 feet , then
2/3 * 9/4 = 18/12
18/12 = 3 inches is the scale size of Quinto's room
Please solve this and give answer
Answer:
Step-by-step explanation:
Please help I need to get this done and I have no idea what I'm doing!
Answer:
5
Step-by-step explanation:
(125) ^ (1/3)
We can rewrite 125 as 5^3
( 5^3) ^ 1/3
We know that a^b^c =a ^ (b*c)
5 ^(3*1/3)
5^ 1
5
Answer:
5
Step-by-step explanation:
when something is to the power of 1/2, that means you square root it
when it is to the power of a third, that means you cube root it.
for example, if it is 25 to the power of a half, that means [tex]\sqrt{25} = 5[/tex] because
5 x 5 = 25
this is the same concept
we need to find a number that multiplies itself 3 times and equals to 125
5x5x5 = 125, meaning that
125 to the power of a third, is 5.
What is 7/10 of 650?
Answer:
455
Step-by-step explanation:
I answered first, but forgot to answer here.
what is the volume of the cube if one side is equal to 6 cm
Answer:
The volume is 216 cm³
Step-by-step explanation:
Hope this helped Mark BRAINLEST!!!
-4w - 3( -9 + 5w) Combine Like Terms Using the Distributive Property
Answer: =−19w+27
Step-by-step explanation:Hope this help :D
Given the first term and the common ratio of a geometric
sequence find the first five terms and the explicit formula. a1
= 0.8, r= −5
Answer:
nth term = 0.8 * -5^(n - 1)
First five terms are: 0.8, -4,
20, -100, 500
Step-by-step explanation:
First term, a1 = 0.8
Common ratio, r = -5
a1 = 0.8
Second term = ar
= 0.8 * -5
= -4
Third term = ar²
= 0.8 * -5²
= 0.8 * 25
= 20
Fourth term = ar³
= 0.8 * -5³
= 0.8 * -125
= -100
Fifth term = ar⁴
= 0.8 * -5⁴
= 0.8 * 625
= 500
First five terms are: 0.8, -4,
20, -100, 500
nth term = ar^(n - 1)
= 0.8 * -5^(n - 1)
nth term = 0.8 * -5^(n - 1)
33 m
44 m
What is the length of the hypotenuse?
C=
meters
Answer:
3
Step-by-step explanation:
Use the reverse form of the pythagorean theorem.
c^2 - b^2 = a^2
25 - 16 = 9
square root of 9 is 3
-24 = x - ( - 2
need help please
Answer:
okay here is the answer but no work shown
x= -16
Pls help me i don’t know what to do
Answer and Step-by-step explanation:
The answer that we have agreed upon is answer choice 2, C, A, B.
This is because the first distance is found, and could possibly be the hypotenuse, noted as C, then the other two sides are created, becoming the legs of a triangle, noted as A and B respectively.
I hope this helps and is correct!
#teamtrees #PAW (Plant And Water)
A line passes through the point (4, -2) and has a slope of -5/4
Write an equation in slope-intercept form for this line.
Answer:
ftudhdldkdjfjdn cbgffrwwof
Someone help me PLZZ
Answer:
5/3
Step-by-step explanation:
The slope is the coefficient next to the x. Therefore, the slope is 5/3.
Answer:
m= 5/3
Step-by-step explanation:
Math wizzz
Worked it out
And online calculator verified!
does anyone know this i will give brainliest
Answer: -324.4
Step-by-step explanation:
Lee wants to buy four tee shirts,
which were originally priced $12.94
each. He purchases four shirts at the
"Buy One Get One 50%" sale and pays
6.2% tax on the total cost of the
shirts. Including the tax, what will be
the cost of each shirt?
Answer:
$27.48
Step-by-step explanation:
He buys 1 shirt at 12.94 and gets one at 6.47
He does this 2 times and the total is 25.88
That times 1.062 to factor in the 6.2 percent tax rate is 27.48
So first you do:
.5 x 12.94=6.47
Next:
6.47 x 2=12.94
Then:
12.94 x 3=38.82
Now you have to do the tax:
38.82 x .062=2.41
After you get the answer for tax you have to add that to the price with out tax:
So, 38.82+2.41
=41.23
So you answer is 41.23 including the discount and tax
HELPPPPP PLSSSSSSSSSWSSSS
Answer:
D.
Hope that helps!
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Hope this helps
PLEASE HELP ASAP! DO IN 5 MINUTES! WILL MARK BRAINLIEST!!!!!!
Answer:
Step-by-step explanation:
cos²(x) = 1-sin²(x) = 144/169
cos(x) = √(144/169) = 12/13
:::::
tan(x) = sin(x)/cos(x) = (5/13)/(12/13) = (5/13)×(13/12) = 5/12
In a bag, Bag C, the ratio of red counters to yellow counters is 3 : 4.
If 3 of the red counters are removed from Bag C, the ratio of red counters
to yellow counters is 3 : 5.
How many yellow counters are in Bag C?
Answer:
20
Step-by-step explanation:
The ratio of red : yellow is 3 : 4 = 3x : 4x ( x is a multiplier )
If 3 red counters are removed then
red : yellow = 3x - 3 : 4x = 3 : 5
Expressing in fractional form
[tex]\frac{3x-3}{4x}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )
5(3x - 3) = 12x
15x - 15 = 12x ( subtract 12x from both sides )
3x - 15 = 0 ( add 15 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Then
number of yellow counters = 4x = 4 × 5 = 20
What is the slope of the line in this graph?
Answer:
90% sure it's 5/7
Step-by-step explanation:
Order the ANGLES in each triangle from SMALLEST to largest.
Answer:
S,R,Q
Step-by-step explanation:
33333333333333333333333333333
Answer: All three methods would be easy and effective
Step-by-step explanation:
Can anybody help me with these, they're awfully confusing.
Answer:
20) a) 6.8 b) 7
21) a) 26.2 b) 26
22) a) -7.8 b) -8
23) a) -10.2 b) -10
24) a) 2.6 b) 3
25) a) -12.9 b) -13
9) Real number
10) Real number
11) Real number
12) Real number
13) Real number
14) Real number
15) Not a real number
16) Real number
Explanation
In order to find the estimated integer of a square root, you simply find the perfect squares closest to the specified square root. For example, the closest perfect squares to [tex]\sqrt{46}[/tex] are [tex]\sqrt{36}[/tex] and [tex]\sqrt{49}[/tex]. Now, we need to find which perfect square is the closest between those two. 46 and 36 have a difference of 10, while 46 and 49 have a difference of 3. So, we know that 49 is the closest perfect square. Now, we simplify
Hi I need help please ASAP
pls answer my question please correctly
Answer:
13/10 5/3 40-78 C A
Step-by-step explanation:
i need help asap please
Calculate 18% tip on a 6250 dinner bill