Answer:
5.988
Step-by-step explanation:
_9.687
3.699
=5.988
Looking north, two skyscrapers are sighted from the viewing deck of the Empire State Building at 1250 feet up. One skyscraper is sighted at a 20° angle of depression and a second skyscraper is sighted at a 30° angle of depression. How far apart are the two skyscrapers to the nearest foot?
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
I suck at these and I need help here’s the question
You buy ten pizzas and pay with $100 how much change do you receive it the pizzas cost three for $25.50
Answer:
Step-by-step explanation:
3 vegetarian pizzas cost 25.50. First we must find the cost of one vegetarian pizza.
25.5/3 = 8.5.
Each pizza costs $8.50. She bought 10 of them.
Now, we must multiply $8.50 by 10.
8.5x10 = 85.
$85 for all of the pizza.
Finally, subtract 85 from 100.
100-85=15.
You will receive $15 in change.
Answer:
Should be $15 change
Step-by-step explanation:
Since 3 pizzas cost 25.50 you times that by 3. Divide the 25.50 by 3 and add them two together. Take away that from the 100
Please help me with this problem!?
Answer:
(-2.5,2)
Step-by-step explanation:
A 1. Explain the key difference between permutations of three out of a
group of seven objects and combinations of three out of a group of
seven objects.
Answer:
Step-by-step explanation:
im clueless
Function Notation: f(x)= -4+22; f(12)
Answer:
f(x)=-4x+22
f(12)=-4×12+22=-48+22=-26 if your
Step-by-step explanation:
question is f(x)=-4x+22
If 1 lb = 2 c, then 1 1/2 c = _____ lb
Answer: b=
10.873127c2hn11t
4l
Step-by-step explanation:
Answer:
0.75 lb cause proportions
Why must you use the HEIGHT of the parallelogram, NOT the length of the slanted side of the parallelogram, to determine its area?
Susan has 50% more books than Michael. Michael has 40 books. If Michael buys 8 more books, will Susan have more or less books than Michael? Use any method to solve the problem
Answer:
Susan has more books than Michael.
Step-by-step explanation:
If Susan has 50% more books and Michael has 40 books, that means Susan has 1.5 times 40 = 60
40 + 8 = 48
60 is more than 48, so Susan has more books than Michael
Alexis bought 4 cupcakes that cost $1.05 each. She paid with a five dollar bill. How much change did Alexis receive?
Answer:
Ans (change recieved) = $0.80
Step-by-step explanation:
because 1 cupcake cost $1.05, 4 of them cost $4.2 because you multiply 4 cupcakes by the cost ($1.05) to obtain the total cost of the four cupcakes.
in order to know the change she recieved . you subtract the $5 bill she paid with the total cost of the 4 cupcakes
$5.00 - $4.20 = $ 0.80
What is the area of this irregular figure knowing that the formula for the area of a rectangle is l x w.
9514 1404 393
Answer:
42 cm²
Step-by-step explanation:
The attachment shows a couple of ways the figure can be considered.
a) Left and Right rectangles that are 5 cm high and 3 cm wide, together with a central rectangle that is 3 cm high and 4 cm wide. Then the total area is ...
5×3 + 3×4 + 5×3 = 15 + 12 + 15 = 42 . . . . cm²
__
b) An enclosing rectangle that is 5 cm high and 10 cm wide with a cut-out that is 2 cm high and 4 cm wide. Then the total area is ...
5×10 -2×4 = 50 -8 = 42 . . . . cm²
__
The area of the irregular figure is 42 cm².
can play 18 holes of golf in 180 minutes. Calculate what is his average rate in number of minutes per holes?
There’s an option D on the bottom you just can’t see.
Someone please help with this question
Answer:
B. 25
Step-by-step explanation:
30 + 35 + 10 = 75
100 - 75 = 25
Answer:
it's B (25%) players play the woodwinds.
Step-by-step explanation:
35% + 10% + 30%= 75%
100% - 75%= 25%
Help and please make sure it’s right :)
Answer:
dam nvm the dud give out the answers
Answer:
10
Step-by-step explanation:
12x-10+8x-10=180. All horizontal lines equal 180 degrees. 12x+8x=20x. -10-10=-20. 20+180=200 200 diveded by 20 is 10
help me with all of it if u can
Answer:
Answers: (4. = 3) (5. = 9) (6. = 20)
A survey of 7th grade students found that 18 out of 32 students prefer to buy their lunch at school instead of bring it from home. What percent of students is that? Write your final answer as a percentage.
Answer: 56.25%
Step-by-step explanation: You would divide 18 over 32, which would get the decimal 0.5625. Then you would multiply this by 100/100 which would get 56.25/100. This would get you 56.25%.
The value of the computer decreased exponentially throughout the five-year period.
What was the average annual of decrease (in dollars per year) over the two-year interval from t=2 to r=4?
table:
_Time___/_Value__
1 / $400.00
3 / $100.00
5 /$25.00
Therefοre , the sοlutiοn οf the given prοblem οf functiοn cοmes οut tο be the average yearly rate οf decrease (in dοllars per year) is $100.
Explain functiοn.
Each tοpic, mathematics, variable design, which is and bοth actual and hypοthetical lοcatiοns will be cοvered in the midterm exam questiοns. a catalοg οf the cοnnectiοns between variοus cοmpοnents that wοrk tοgether tο prοduce the same οutcοme. A service is made up οf many unique parts that wοrk tοgether tο prοduce unique οutcοmes fοr each input.
Here,
[tex]= > V(t) = V(0) * e^{(-kt)[/tex]
By using the numbers at times t=1 and t=3, we can determine the decay cοnstant k:
[tex]= > V(1) = 400 = V(0) * e^{(-k1)[/tex]
[tex]= > V(3) = 100 = V(0) * e^{(-k3)[/tex]
[tex]= > 100/400 = e^{(-k3) / e^{(-k1)[/tex]
[tex]= > 1/4 = e^{(-2k)[/tex]
[tex]= > ln(1/4) = -2k[/tex]
[tex]= > k = ln(4)/2[/tex]
[tex]= > k ≈ 0.69315[/tex]
The value οf the cοmputer at times t=2 and t=4 can nοw be determined using the algοrithm fοr V(t):
[tex]= > V(2) = V(0) * e^{(-k2)[/tex]
[tex]= > V(4) = V(0) * e^{(-k4)[/tex]
[tex]= > V(4)/V(2) = e^{(-k4) / e^{(-k2)[/tex]
[tex]= > V(4)/V(2) = e^{(-2k)[/tex]
[tex]= > V(4)/V(2) = e^{(-0.69315*2)[/tex]
[tex]= > V(4)/V(2) =0.5[/tex]
Over this time periοd, the average yearly rate οf decline (in dοllars per year) is:
Ratiο οf decline equals value shift. (time interval)
=> V(2) - V(4) = (rate οf decline) / (4 - 2)
=> (amοunt οf reductiοn) is equal tο (V(2) * (1 - 0.5)) / 2.
=> (amοunt οf decline) is equal tο (V(2) * 0.5) / 2.
=> V(2) / 4 equals (rate οf decline)
=> (rate οf reductiοn) equals 400 / 4
=> rate οf decline) = $100 annually
As a result, οver the twο-year periοd frοm t=2 tο r=4, the average yearly rate οf decrease (in dοllars per year) is $100.
To know more about function visit:
brainly.com/question/28193995
#SPJ1
Find sin A.
a.
4
sin A = -
3
sin A
b.
4
sin A =
d.
sin A =
Answer:
4/5
sin A = perpendicular/hypotenuse
sinA = 28/35
sinA = 4/5
hope it helps
option B
Answer:
B. Sin A = [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Sin A = opposite / hypotenuse
Sin A = 28 / 35
Divide both by 7
28 / 7 = 4
35 / 7 = 5
[tex]\frac{28}{35} = \frac{4}{5}[/tex]
Select all the equations that are true. Explain your thinking.
Answer:
A,D,E,
Step-by-step explanation:
Select the correct type of solution set for the system
Answer:
no solution
Step-by-step explanation:
what is x worth in 8(-6x + 14) = -128
Answer:
5
Step-by-step explanation:
Pythagorean Theorem is annoying..
Answer:
c = 10
Step-by-step explanation:
8² + 6² = c²
64 + 36 = c
64 + 36 = 100
[tex]\sqrt{100\\[/tex] = 10
Hope this helps :)
What is the y coordinate?
Answer:
2
Step-by-step explanation:
2. Solve for b.
(a - 3)
Answer:
Step-by-step explanation:
Sum of angles inside triangle is 180
b + (a -3) + 90 =180
b + a - 3 + 90 = 180
b + a + 87 = 180
b + a + 87 -87 = 180-87
b + a = 180-87
b + a = 93
b = 93 -a
I give brainlest, please help.
what is the scale factor plz help plzz
Answer:
c
Step-by-step explanation:
What would the volume be of a box with a width of 2 1/4 inches, length 1 1/2 inches, and height of 4 inches?
Answer: The answer is 13.5
Step-by-step explanation:
Solve: 5(3x + 2) -2 = 2 (1 -7x)
Answer:
x=-6/29
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5(3x+2)−2=2(1−7x)
(5)(3x)+(5)(2)+−2=(2)(1)+(2)(−7x)(Distribute)
15x+10+−2=2+−14x
(15x)+(10+−2)=−14x+2(Combine Like Terms)
15x+8=−14x+2
15x+8=−14x+2
Step 2: Add 14x to both sides.
15x+8+14x=−14x+2+14x
29x+8=2
Step 3: Subtract 8 from both sides.
29x+8−8=2−8
29x=−6
Step 4: Divide both sides by 29.
29x/29=-6/29
x=-6/29
2. What is the value of f(x)=2/3x+1/4 when x=6
Please ANSWER WILL GIVE BRAINLIEST
I think the answer is for
1 book (x = 1)
1150+25(1)= 1175
For 2 books (x - 2)
1150+25(2) = 1200
Next, to find the change in total cost, subtract these 2 answers:
1200 - 1175 = 25
Mateo buys 5 postcards during each day of vacation. Write an equation that shows the
relationship between the days of vacation x and the number of postcards bought y.
Write your answer as an equation with y first, followed by an equals sign.
Answer:
The answer is y=5x
Step-by-step explanation: