PLEASE HELP WILL GIVE FULL PONITS! 3. Using the known angle, what side is known? What side is unknown? Use opposite, adjacent, or hypotenuse in your answer. (2 points)
Known side: ____________________
Unknown side: ___________________________
4. What trigonometric ratio would you use to find the distance from the base of the tower to your keys? Identify your choice, and then calculate the distance. (4 points: 1 point for the ratio, 2 points for shown work, 1 point for the answer)
Trigonometric ratio (name): ___________________________
Calculation (Show your work):
5. While you're at the top of the tower, you see an ant walking along the edge of the building. If the ant were to walk straight down the side of the tower until it reached the ground, how far would the ant travel? Which trigonometric ratio would you use to find this distance? Use the ratio to find the measurement. (4 points: 1 point for the method, 2 points for shown work, 1 point for the answer)
6. Confirm that your answer to question 5 is correct using the Pythagorean Theorem instead of trig ratios. (3 points)
Answer:
The trigonometric ratio that I would use to find the distance from the base of the tower to the keys is the tangent; tan (86°) = height / distance.
Step-by-step explanation:
You can draw a right triangle with angle 86°, opposite leg equal to the height (50 meter) and adjacent leg equal to the distance from the base of the tower to the keys: tan (86°) = 50 m / x
=> x = 50 m / tan(86°)
x = 50 m / 14.30 = 0.98 m
At the beginning of a population study, a city had 390,000 people. Each year since, the population has grown by 1.1%.
Let t be the number of years since start of the study. Let y be the city's population.
Write an exponential function showing the relationship between y and t.
Answer:
t=number of years since start of the study.
y=city´s population.
first year:
y=390,000+0.073(390,000)=390,000(1+0.073) (=418470)
Second year:
y=(390,000(1+0.073) + 0.073(390,000(1+0.073) =
=390,000(1+0.073) (1+0.073)
=390,000(1+0.073)²
(≈449,018.31)
Third year: if you calculate it you would have:
y=390,000(1+0.073)³
Fourth year: if you compute it you would have:
y=390,000 (1+0.073)⁴
t th year:
y=390,000(1+0.073)^t
Answer: y=390,000(1+0.073)^t
Step-by-step explanation:
Find the slope of the line through the given points
!!will mark BRAINLIEST if all are anwsered!!
Answer:
8) 31.4 ft
9) Scalene Triangle , and a right Triangle
10) 36 [tex]ft^{2}[/tex]
11) 2
12) 4/5
Step-by-step explanation:
8) Find last length
12^2+6^2=x^2
x=[tex]\sqrt{180}[/tex]
13.4
Perimeter = 13.4+12+6 = 31.4 ft
9)
10) area = 1/2 b*h = 1/2*12*6 = 36 [tex]ft^{2}[/tex]
11) slope = rise /run = 2/1 = 2
12) 80% will be girls, therefore 80/100 = 4/5
-2x -3 for x = -3
( Evaluate the following algebraic expression )
Answer:
well its -2*-3-3 so
-2*-3 is 6-3 is 3
Step-by-step explanation:
solutions: ( x = 2 & x = -2 )
hmmmmhmmmmmmmmmmmmmmmmmmmmmm
1/x + 1/3x = 4 help help pls thank you
Simplify (12+3i)−(−5+2i)
Answer:
17+5i
Step-by-step explanation:
add the like terms
double negative equals positive
;)
Answer:
17+i
Step-by-step explanation:
HELP ME PLZ
Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 3.25 ⋅ 103 seconds?
Part B: Which is the more reasonable measurement of the distance between the tracks on a railroad:
1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? Justify your answer.
Answer:
salamat po sa
points.
pa
Step-by-step explanation:
branlest
answer
po
what is the distance between (5,8) and (2,4) by using distance formula
Answer:
Distance = 5
Step-by-step explanation:
D= sqrt (x1-x2)^2 + (y1-y2)^2
(5-2)^2 + (8-4)^2=3^2 + 4 ^2 = 9 +16 = 25
Sqrt of 25 = 5
Distance = 5
Hope this helps
Answer:
d=3.605551
Step-by-step explanation:
d=(8−5)2+(4−2)2−−−−−−−−−−−−−−−√
d=(3)2+(2)2−−−−−−−−−√
d=9+4−−−−√
d=13−−√
d=3.605551
Answer ASAP please<3
Step-by-step explanation:
So if you multiply both the numerator and denominator by the same number, you get the initial number. Your goal here is to get the same denominator so that you can solve the problem easily! hope it helped!
A house has increased in value by 3% each year. It was worth £150000 4 years ago. How much is it worth now? Give your answer to a sensible degree of accuracy. morto
Answer: 350000
Step-by-step explanation: Hope this helps :) (if wrong please make sure next time add answer that can be picked from it better or if theres no answers maybe give some more detail?)
Determine the slope of the line passing through (4,-2) and (7,10)?????
Answer: 4
Step-by-step explanation:
(4,-2) will be point 1, (7,10) will be point 2. The order doesn't matter.
slope = y2-y1 / x2 - x1
slope = 10 - (-2) / 7 - 4
slope = 12 / 3
slope = 4
The slope of the line that passing through (4, -2) and (7, 10) is 11/3.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
(4, -1) = (a, b) and (7, 10) = (c, d)
Slope:
= (d - b) / (c - a)
= (10 + 1) / (7 - 4)
= 11 / 3
Thus,
The slope is 11/3.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
Find the measurement of the two angles
Please !
Answer:
1 -9 09u and than add
Step-by-step explanation:
What is the value of l 3 l?
Answer:
3
Step-by-step explanation:
are 16/72 and 18/81 equivalent rational numbers
Answer:
yes
Step-by-step explanation:
[tex]\frac{16}{72}[/tex] ( divide numerator/ denominator by 8, the LCM of 16 and 72 )
= [tex]\frac{2}{9}[/tex]
[tex]\frac{18}{81}[/tex] (divide numerator/ denominator by 9 the LCM of 18 and 81 )
= [tex]\frac{2}{9}[/tex]
Both rational numbers simplify to [tex]\frac{2}{9}[/tex] and are equivalent
¼ x = 12 i need help plz thanks
Answer:
48
Step-by-step explanation:
1/4 x = 12
x = 4*12
x=48
What is 2x-3y=12 on a graph?
If the length of the line segment CD is 65% of the length of the line segment AB, what is the length of line segment CD? (AB is 13in)
Answer:
8.45
Step-by-step explanation
Convert 65% in decimal form
0.65 x 13 = 8.45
#3 A Firefighter needs to reach window that is 35 feet up. If the fire
department has a 37 foot ladder how far away from the building should
they put the bottom of the ladder?
Answer:
2 feet away from the building
Step-by-step explanation:
Hope this helps!
Someone Answer this for me pls
Answer:
It's equilateral. Equilateral triangles are three equal-sided polygons. Remember that. It helps.
What is the domain of F
Answer:
-5 ≤x≤6
[-5,6]
Step-by-step explanation:
The domain is the values that the input takes
x goes from -5 (inclusive) to 6 (inclusive)
-5 ≤x≤6
[-5,6]
Answer:
[-5, 6]
Step-by-step explanation:
The domain of a function is the list of x values. Since the endpoints are shaded, that means those x values are included as well. Therefore, the domain of f is [-5, 6].
math subject huhubels
Answer:
yes
Step-by-step explanation:
because i used my brain#
find the area of the triangles with the following base and heights:
a) base 10m and height 6m. b) base 25 cm and height 14 cm.
Answer:
triangle 1. 10•6=60m²
triangle 2. 25•14= 350cm²
* in case u need help, to find the area of a triangle use this formula;
b • h = a
base • height = area
hope this helps
#1
B=10mH=6mArea:-
[tex]\\ \sf\longmapsto \dfrac{1}{2}BH[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{2}(6)(10)[/tex]
[tex]\\ \sf\longmapsto 3(10)=30m^2[/tex]
#2
B=25cmH=15cmArea:-
[tex]\\ \sf\longmapsto \dfrac{1}{2}(25)(14)[/tex]
[tex]\\ \sf\longmapsto 25(7)[/tex]
[tex]\\ \sf\longmapsto 175cm^2[/tex]
Please solve with explanation
9514 1404 393
Answer:
4 : 1
Step-by-step explanation:
Each segment joining midpoints is called a "midline." It is parallel to the segment not being joined, and is half its length. All the dimensions of the smaller triangle are half those of the larger triangle. (They are similar triangles.) The ratio of areas is the square of the ratio of side lengths:
2² : 1² = 4 : 1 . . . . . . ratio of triangle areas
Find the slope of a line parallel to the line whose equation is y-4=7(x+2).
Answer:
m'=7
Step-by-step explanation:
they are parallel to each other so if slope of 1st line be "m" and 2nd line as "m' ", then we have:
m = m'
y-4=7x+14
y=7x+18
y=mx+h
So m = 7
& m' = 7
Choose the equation that represents the graph shown
Answer:
y = |x| + 5
Step-by-step explanation:
Calculate the points with x = -4 to 4 and match the plots. (Attached)
PLZ ANSWER DIS IS DUE IN 30 MIN Evaluate the expression, mn2, when m = 13 and n = = 12
Answer:
166
Step-by-step explanation:
m =13
n = 12
m x n
= 13 x 12
= 166
if a/3=b/2, what are the following ratios?
a+b/b
Answer:
1
a+1
es posible q hayan doble respuesta
Step-by-step explanation:
Pasos
a+b/b
Divide b entre b para obtener 1.
da
d
(a+1)
La derivada de un polinomio es la suma de las derivadas de sus términos. La derivada de cualquier término constante es 0. La derivada de ax
n
es nax
n−1
.
a
1−1
Resta 1 de 1.
a
0
Para cualquier término t excepto 0, t
0
=1.
1
a+b/b
Divide b entre b para obtener 1.
a+1
If K = F( A + B ) , find “ A ” if F = 2 , B = 3 , K = 10
Answer:
The value of A is 2
Step-by-step explanation:
F = 2 , B = 3 , K = 10
K = F( A + B )
10 = 2(A + 3)
10 = 2A + 6
Now, Subtract 6 from each side we get,
10 - 6 = 2A + 6 - 6
4 = 2A
2A = 4
Now, divide both side by 2 we get,
2A/2 = 4/2
A = 2
Thus, The value of A is 2
FOR VERIFICATION ONLY :-K = F( A + B )
10 = 2(2 + 3)
10 = 2(5)
10 = 10
L.H.S = R.H.S
Hence Proved!
-TheUnknownScientist 72