Answer:
(9 + t)/12=-3
(9-45)/12
-36/12
= -3
answer = -45
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
If the diameter of a circle is 3 and pi=3.14, what is the circumference? Im confused on how to get the circumference.
Answer:
9.426 units
Step-by-step explanation:
Given data
Diameter= 3 units
Radius= 1.5 units
The circumference is given as
C=2πr
C=2*3.142*1.5
C=9.426 units
Hence the circumference is 9.426 units
I need this quick!!What is the surface area of the square pyramid?
square units
Answer:
Im pretty sure its 16.64
Step-by-step explanation:
2^2 x 3^4 x 2^5/ 9 x 4^2
Answer:
Please refer to the attachment
Hope it helps
Please mark me as the brainliest
Thank you
Find the value of x.
Answer:
66
Step-by-step explanation:
subtract each external angle by 180 to find the interior angle.
Since you know that all of the interior angles add up to 540 because 180(n-2)
with n is how many sides in the polygon
so 180(5-2)=540
now take each value and subtract it by 180
180-(45)=135
180-(40)=140
180-(x)=180-x
180-(77)=103
180-(2x)=180-2x
135+140+180-x+103+180-2x=540
738-3x=540
x=66
hope that helps :)
Please give brainliest
The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain
day, 380 people entered the park, and the admission fees collected totaled 1070 dollars. How many
children and how many adults were admitted?
Your answer is
number of children equals
number of adults equals
Determine whether the following statement is true or false.
The graph of f(x) = (x + 2)2 + 4 has its vertex at (2,4).
Choose the correct answer below.
O True
0 False
Answer:
Step-by-step explanation:
No it doesn't. When you get stuck on a question like this one, you should go to Desmos and graph the equation. I've done that for you.
Correctly stated the equation should read f(x) = (x + 2)^2 + 4
As you can see from the graph the vertex is at -2,4. To find the x value of the vertex, create a small equation
x + 2 = 0
x = - 2
That will turn what is inside the brackets into 0. The value for x is always what will turn (x + a) to zero.
Pls help
First, correct answer will get brainliest
Answer:
A for the first one.
Second one, I'm not sure, but I'd guess it'd be A
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km.
Convert 7.5 miles to km.
Answer:
converting 7.5miles to km.i have...
1mile = 1.6km
7.5miles=xkm...
cross multiplying I have..
xkm=7.5 × 1.6
xkm=12
Answer:
12km
Step-by-step explanation:
5 miles = 8 km
→ Work out how much kilometres in a mile
1 miles = 1.6km
→ Multiply both sides by 7.5
7.5 miles = 12km
3/8 - 1/4x =1/2 x - 3/4
please help solve for x and show work
Answer:
x=3/2 (or 1.5)
Step-by-step explanation:
Subtract 3/8 from both sides
Simplify
Subtract 1/2x from both sides
Simplify
Multiply both sides by 4
Simplify
Divide both sides by -3
How can 2 fathers and 2 sons divide 3 automobiles among themselves with each receiving one?
Answer:
haha i know this riddle
Step-by-step explanation:
there is a guy and he has had a son, and his son has also had a son, so there are technically 3 guys, but 2 fathers and 2 sons
Which point is located at (2, 3)?
A
B
C
D
Answer:
a
Step-by-step explanation:
Find the value for y
Answer:
y = 18
Step-by-step explanation:
Because it's interior angles are equal, it is an equilateral triangle.
Equilateral triangles have 3 equal sides.
So:
5y - 6 = 4y + 12
reduce:
y = 18
4x=-x+10
I’m confused?
Answer:
x=2
Step-by-step explanation:
4x=-x+10
To find x, we first add x to each side to get rid of -x on the right side.
5x=10
Then, we divide each side by 5 to get x by itself.
x=2
And that's your answer :)
What’s the slope to this graph?
Answer:
3/8
Step-by-step explanation:
You can either count "rise over run" (which is what I did) or find the slope through the two points given.
hello help please i’ll mark brainliest!!!
Answer:
A waxing gibbous moon is in the sky when darkness falls. It lights up the early evening. It appears more than half lighted, but less than full.
Step-by-step explanation
if you answer i will give you brainliest
Answer:
OK hiiiiiiiiiiiiiiiii.
Help Please Brainlist if correct (dont answer if you dont know please)
Answer:
The answer is 6.8
Step-by-step explanation:
Check on your calculator 6.8^2 equals 46
Which expression is equivalent to 5 - 3(x + 2)?
Answer:
2x+4
Step-by-step explanation:
5-3(x+2)
2(x+2)
2x+4
Skylar invested $3,100 in an account paying an interest rate of 3.3% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $4,720
Answer:
13
Step-by-step explanation:
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
Help and please make sure it’s right :)
Answer:
11
Step-by-step explanation:
7x + 8 = 6x + 19 (alternate angles)
7x - 6x = 19 - 8
x = 11
overheads are added to the?
Answer:" In business, overhead or overhead expense refers to an ongoing expense of operating a business. Overheads are the expenditure which cannot be conveniently traced to or identified with any particular cost unit, unlike operating expenses such as raw material and labor." as said by wiki
Step-by-step explanation:
Find the equation of a line that passes through the point (0,4) and has a gradient of 2.
Leave your answer in the form y = mx + c
Answer:
y = 2x + 2
Step-by-step explanation:
y = mx+c
m = slope
c =y -intercept
Therefore, the required equation is:
y = 2x + c
Putting the point (0,4) in it as it lies on a line, we get:
4 = 2 + c
Therefore:
c = 2
So, y = 2x + 2
Brainlist pls!
The equation of a line that passes through the point (0,4) and has a gradient of 2 is y = 2x + 4
Equation of a lineThe equation of a line in point-slope form is expressed as:
y = y1 = m(x-x1)
Given the following
Slope m = 2
(x1, y1) = (0, 4)
Substitute
y - 4 = 2(x- 0)
y -4 = 2x
y = 2x + 4
Hence the equation of a line that passes through the point (0,4) and has a gradient of 2 is y = 2x + 4
Learn more on equation of a line here: https://brainly.com/question/18831322
how many pints are in a cup?
Answer:
0.4 Pints
Step-by-step explanation:
Libby earns $10 each hour for babysitting. Let m = the money she earns, and t = the time in hours she is babysitting. What equation represents this proportional relationship?
Answer:
$10t=m
Step-by-step explanation:
If for each hour is $10.
She would earn the number of hours times $10.
Example: She did babysitting for 4 hours this weekend. The equation is $10(4)=m or $10 x 4 = m. m=40
find area of trapezoid
Answer:
150 sqaure ft
Step-by-step explanation:
okay so the formula for area of a trapezoid is
1/2 (b1 + b2) h
so base one of 15 plus two of 10 os 25 ft
25 feet divided by 2 is 12.5 so 12.5 × 12 is 150
What is the slope of the line that contains the points (10,-9) and (7,6)?
Answer:
-5
Step-by-step explanation:
Slope, m, can be found by
change in y / change in x
change in y = 6 - -9 = 15
change in x = 7 - 10 = -3
m = 15/-3 = -5
full line is y = -5x + 41
10 Points, and thank you!
The scale of a map is 1 cm: 75 km. What is the actual distance between two towns that are 4 cm apart on the map?
Answer:
300
Step-by-step explanation:
(75*4)/1