We are given:
Horizontal distance of the point of observation from the building = 2 miles
Angle of elevation of the building = 5 degrees
Finding the height of the Building:
Let the height of the building be x miles
In the given case, the following right-angled triangle will be formed
We know that: Tan(θ) = Opposite / Adjacent
So, Tan(5°) = x / 2
0.0875 = x/2 [since Tan(5°) = 0.0875 ]
x = 0.175 [Multiplying both sides by 2]
Height in Meters:
We know that 1 mile = 1609.344 meters
So, we can say that:
1609.344 meters / 1 mile = 1
Multiplying the height of the building by 1
0.175 miles * 1
since 1 = 1609.344 meters / 1 mile:
0.175*1609.344 meters
[tex]0.175 miles * \frac{1609.344 meters}{1 mile}[/tex]
Here, the 'miles' in the numerator and the denominator will cancel out
281.6 meters
Hence, the height of the Building is 281.6 m OR 0.175 miles
Jaylen scores 75% in a spelling test with 40 questions. How many did he get right? *
Your answer
Answer:
He got 30 right!
Step-by-step explanation:
i don’t understand pleas hell
Answer: x = 40
Step-by-step explanation:
4= x/-4 + 14 Remember that in front of every variable there is a number 1.
4 = - 1/4x + 14 subtract 14 from both sides
-14 -14
-10 = -1/4x Divide both sides by -1/4
x = 40
PLEASE HELP IN ONE MINUTE. WILL MARK BRAINLEST
Answer:
20 + 2x = y
Step-by-step explanation:
total tax: 0.05(50 + 40)
Answer:
i think it's 4.5
Select the correct answer.
What is the zero of function f?
A. x= 1
B. x= -3
C. x= 9
D. x= -1
The zero of the given function f(x) is x = 1. The correct answer is an option (A).
To find the zero of the function f(x) = 3√(x + 3) - 6, we set the function equal to zero and solve for x:
3√(x + 3) - 6 = 0
Adding 6 to both sides:
3√(x + 3) = 6
Dividing both sides by 3:
√(x + 3) = 2
Squaring both sides to eliminate the square root:
x + 3 = 4
Subtracting 3 from both sides:
x = 1
Therefore, the zero of the function f(x) is x = 1.
Thus, the correct answer is A.
Learn more about the functions here:
brainly.com/question/12431044
#SPJ4
The complete question is as follows:
What is the zero of function f?
f(x)=3√(x+3)-6
A. x= 1
B. x= -3
C. x= 9
D. x= -1
What is the area for this triangle
Answer:
56
Step-by-step explanation:
I'm not 100% sure, use my answer at your own risk
HELP. there are 45 coins consisting of nickels, dimes and quarter making a total of 7 dollars. the number of dimes exceeds the number of nickels by five how many quarters are there
9514 1404 393
Answer:
20
Step-by-step explanation:
Let n, d, q represent the numbers of nickels, dimes, and quarters, respectively. Then we have ...
n + d + q = 45
5n +10d +25q = 700
n -d = -5
__
Using n=d -5, we can substitute into the first two equations:
(d -5) +d + q = 45
2d +q = 50 . . . . add 5, collect terms [eq4]
__
5(d -5) +10d +25q = 700
15d +25q = 725 . . . . . . . . . . add 25, collect terms [eq5]
Multiplying [eq4] equation by 3 and subtracting that from 2/5 of [eq5], we have ...
(2/5)(15d +25q) -3(2d +q) = (2/5)(725) -3(50)
6d +10q -6d -3q = 290 -150
7q = 140 . . . . . . simplify
q = 20 . . . . . . . . divide by 7
There are 20 quarters.
Solve for z. Assume the equation has a solution for 2. -p: (8 + x) = -22 +59 Anybody?
Answer:
z= pd + 59 / (2-p)
Step-by-step explanation:
-p (d+z) = -2z +59
-pd - pz = -2z +59
-pz +2z = pd +59
z ( 2-p) = pd + 59
z= pd +59 / (2-p)
Simplify the expression -1/4(3g - 6 - 5g)
Answer:
[tex]\frac{g}{2}[/tex]+[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
On a coordinate grid, point P is at (7, 2) and point R is at (−3, −6). Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S? (1 point) Q(−7, 2), S(3, −6) Q(−7, −2), S(3, 6) Q(−7, 2), S(−3, 6) Q(7, −2), S(−3, 6)
monkey questions
Answer:
If we use point P as point Q and point R as point S, the answer would be:
Point Q = (-7,2)
Point S = (-3,6)
Step-by-step explanation:
Hope this helps
Find x and y!
X = ?
Y = ?
Answer:
x=23
y=88
Step-by-step explanation:
3x+23 and 4x have the same degree measure because they are corresponding angles
3x+23 = 4x
x=23
4(23) + y = 180
92 + y = 180
y = 88
Kelsey jog 60 feet in 6 second what is thus rate in miles per hour round to the nearest tenth
Answer:
0.1mph
Step-by-step explanation:
I plugged in the equation into a ratio(m=miles); 60/m*5280/1 =0.01*10 = 0.1 I basically just plugged and chungged all the numbers.
Alicia runs for exercise. If Alicia runs 32 miles in six days, how many feet does she run per day?
Answer: 192
Step-by-step explanation:
32x6=192
Sorry if I’m wrong
Solve the following problem. Be sure to show all steps (V.E.S.T.) and work in order to receive full credit.
The sum of three numbers is 26. The second number is twice the first and the third number is 6 more than the second. Find the numbers.
Answer:
The numbers are 4, 8 and 14
Step-by-step explanation:
Required
Determine the three numbers
We start by declaring the variables
Let the three numbers be [tex]x,\ y\ and\ z\ respectively[/tex]
Next, we write the relationships between the numbers
[tex]y = 2 * x[/tex] --- Second = Twice the first
[tex]z = 6 + y[/tex] --- Third = 6 more than second
[tex]x + y + z = 26[/tex] --- Sum of the three numbers
Then, we solve for each number
[tex]y = 2 * x[/tex]
[tex]z = 6 + y[/tex]
[tex]x + y + z = 26[/tex]
Substitute 6 + y for x in [tex]x + y + z = 26[/tex]
[tex]x + y + 6 + y =26[/tex]
Collect Like Terms
[tex]x + y + y = 26 - 6[/tex]
[tex]x + 2y = 20[/tex]
Substitute 2 * x for y in [tex]x + 2y = 20[/tex]
[tex]x + 2(2*x) = 20[/tex]
[tex]x + 4*x = 20[/tex]
[tex]x + 4x = 20[/tex]
[tex]5x = 20[/tex]
Solve for x
[tex]x = \frac{20}{5}[/tex]
[tex]x = 4[/tex]
Recall that:
[tex]y = 2 * x[/tex]
[tex]y = 2 * 4[/tex]
[tex]y = 8[/tex]
Recall that:
[tex]z = 6 + y[/tex]
[tex]z = 6 + 8[/tex]
[tex]z = 14[/tex]
Hence, the numbers are 4, 8 and 14
To test the result:
[tex]x + y + z = 26[/tex]
[tex]4 + 8 + 14 = 26[/tex]
[tex]26= 26[/tex]
In how many ways can one choose 4 edges of a cube so that no two of these edges have a common corner?
Answer:
2
Step-by-step explanation:
HELP FAST
An account earns annual simple interest.
Find the balance of the account.
$2000 at 9% for 6 months
Answer:
3000
Step-by-step explanation:
2000 x 9 = 18000
18000 divided by 6 is 3000
The answer would be 3,000
PLEASE HELP HELP HELP HELP
Answer:
bro r u good its .77
Step-by-step explanation:
Answer:
the first answer is 2.37, and the second one is 12.21
Step-by-step explanation:
Help me pleaseeeeeee.
Step-by-step explanation:
1. x = 1/2 or 3
2. x = 3 or 2
plz mark my answer as brainlist plzzzz vote me also
what is 555/74?
Thank YOU!
Answer:
7.5
Hope this helps! :)
Question 4 what is the value of the underlined digit 0.812
Answer: (8/10)+(1/100)+2/1000)=0.812
Step-by-step explanation: Um, what is the underlined digit
Answer:
I unsure about which digit is underlined but suppose it is all three 812. Then the correct representation as a fraction is 812/1000. If the undwrlined digit was just the 8 it would be 8/10. 1 would be 1/100, and 2 would be 2/1000
Step-by-step explanation:
HELP URGENT!!!!
Find the equation of the line. Use exact numbers.
y=( )x + ( )
Write an equation of a line which has a slope of -2 and goes through the point (-4, 11).
Answer:
y -11 = -2(x+4)
or
y = -2x+3
Step-by-step explanation:
We can use the point slope form of a line
y - y1 = m(x-x1) where m is the slope and (x1 ,y1) is a point on the line
y - 11 = -2(x- -4)
y -11 = -2(x+4)
We can rewrite it in slope intercept form
y-11 = -2x-8
Add 11 to each side
y = -2x+3
Answer:
the equation would be y=-2x+3
Step-by-step explanation:
you are given the slope and a point on this line, and the form for an equation of a line is y=mx+b, where m is the slope and b is the y-intercept. so since we know the slope already:
y=-2x+b
and we are given a point, (x, y), so plug in those numbers as x and y.
11=-2(-4)+b
now solve for b:
11=8+b
3=b
now plug in the slope, m, and y-intercept, b, back into the original equation:
so, y=-2x+3
Which number line shows the solution to
1/4 X + 1 < 5
Answer:
I think it's the third one
Step-by-step explanation:
I've done this before, but try the 3rd one, if not then try the second one. it's been awhile since I've done this. I'm sorry if I'm wrong
A rectangular room is 12 1/2 feet long and 10 1/3 feet wide. What is the area of the room?
Answers to choose from:
A 22 5/6 square feet
B 120 1/6 square feet
C 120 1/3 square feet
D 129 1/6 square feet
Answer:
D. 129 1/6 square feet
Step-by-step explanation:
L x W = A is the equation used to solve for the area of quadrilaterals
When we substitute the values of L and W for what the length and width actually are, we end up with the equation 12 1/2 x 10 1/3 = A.
Now you just need to multiply the length and width which will give you 129 1/6 square feet.
(sorry if this is confusing but I hope it helped)
The rate of change of the function in the graph is that of the function in the table by unit(s).
Answer:
The rate of change of the function of the graph is more than that of the function in the table by 4 unit (s)
Kendra took a total of 10 quizzes over the course of 2 weeks. After attending 7 weeks of school this quarter, how many quizzes will Kendra have taken in total? Assume the relationship is directly proportional.
well if Kendra took 10 quizzes in 2 weeks it means that she took 5 quizez each week 5*7=35 therefore she took 35 quizzez in 7 weeks
What is the solution to the equation 5.6 + n = 15?
4.4
9.4
20.6
71
Answer:
9.4
Step-by-step explanation:
An easy way to solve this is to subtract 5.6 from 15, which equals 9.4
1. What is the product of 7/16, 4/3,and 1/2?
What type of triangle is formed with sides of lengths 4 feet, 12 feet, and 14 feet?
Answer:
An Obtuse Triangle
Step-by-step explanation:
An Obtuse triangle means that none of the 3 sides have equal sides lenghts
Abebe loves to eat pears. He ate 2 a day
for 48 days. How many pears did Abebe
eat?
Abebe ate pears.
IS:
