The height of the skyscraper rounded to the nearest tenth of a meter is
160.0 meters.
The situation will form a right angle triangle.
The angle of elevation is 44 degrees. The horizontal distance of 164
meters from the base of the skyscraper is the adjacent side of the triangle.
Part of the height of the skyscraper is the opposite side of the triangle formed .
Using trigonometric ratio,
tan 44° = opposite / adjacent
tan 44° = h / 164
cross multiply
h = 164 × tan 44°
h = 158.372959068
Recall the angle of elevation was form from his eyes above the ground of
1.62 meters.
Therefore, the height of the skyscraper can be calculated below:
height of the skyscraper = 158.372959068 + 1.62 = 159.992959068
height of the skyscraper ≈ 160.0 meters
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Cuantos triángulos se pueden construir con un número entero de palillos
Answer:
Step-by-step explanation:
After creating an equilateral triangle using 3 toothpicks, I require 3 more toothpicks to create more 3 equilateral triangles ie.4 triangles it toto.
First place 3 toothpicks end to end on a Horizontal plane to create an equilateral triangle.
THEN erect 3 toothpicks on each corner of the triangles making other ends joined up together in space above the Horizontal plane so as to create another same THREE equilateral triangles. (I am unable to provide a pictorial presentation due to inadequacy of signs & symbols on the keyboard. )
I suppose, you must have visualised the superstructure.
Thanks.
When you have > or <, the solutions are only in the shaded area.
True
or
False
Answer: True
Step-by-step explanation: Because the solutions can not land on the dotted lines.
This image shows that when a football is kicked, the nearest defensive player is 6 feet from the kicker’s foot. The height of the punted football, f(x), in feet, can be modeled by the equation. Round all answers to 2 decimals. ()=−0.0152 +1.25+2 a. (2 points) What is the maximum height of the punt?
Using the vertex, it is found that the maximum height of the punt is of 27.7 feet.
The height of the punt, after x seconds, is given by:
[tex]f(x) = -0.0152x^2 + 1.25x + 2[/tex]
It is a quadratic equation with coefficients [tex]a = -0.0152, b = 1.25, c = 2[/tex].
The maximum value is the value of the function at the vertex, hence:
[tex]f_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
Applying the coefficients:
[tex]f_V = -\frac{b^2 - 4ac}{4a} = -\frac{(1.25)^2 - 4(-0.0152)(2)}{4(-0.0152)} = 27.7[/tex]
The maximum height of the punt is of 27.7 feet.
A similar problem is given at https://brainly.com/question/16858635
find measurement 1 and 4
Answer:
the info they gave us is to suppose that angle 6 is = 126°
step 1:
We know that angle 8 = angle 6 = 126°
Why? — when a circle (360°) is split by 2 lines that intersect, there will be 2 equal pairs of angles formed
step 2:
angle 2 = angle 8 = 126°
Why? — they’re alternate angles
step 3:
angle 4 = angle 2
Why? — when a circle (360°) is split by 2 lines that intersect, there will be 2 equal pairs of angles formed
step 4:
angle 1 = 180-126 (angle 4) = 54°
Why? — total angles in a straight line = 180°
Key Term:
Alternate angles:
Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal: We can often spot interior alternate angles by drawing a Z shape: There are two different types of alternate angles, alternate interior angles and alternate exterior angles.
The graph of linear function fpasses through the point (1, -8) and has a slope of 2.
What is the zero of f?
-5
2
5
-2
Answer:
5
Step-by-step explanation:
set up point slope form
y + 8 = 2(x-1)
set y to zero
0+8=2(x-1)
8=2x-2
10= 2x
x = 5
Ms. Duda’s class is hanging 500 red lanterns around the
school for Lunar New Year. Before lunch, the class hangs
100 of the lanterns.
PART A Draw a model to show what percent of 500 lanterns
the class hangs before lunch.
Answer:
Percentage Calculator: 100. is what percent of 500.? = 20.
Step-by-step explanation:
find the formula for a function of the form y=ae^(-x)+bx with global minimum at (1,10).
The formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].
We can use first and second derivative tests to determine all coefficients of the function described in statement so that the point given is an absolute minimum. The expressions for such tests are introduced below:
FDT
[tex]-a\cdot e^{-x}+b = 0[/tex] (1)
[tex]b = a\cdot e^{-x}[/tex]
SDT
[tex]y''=a\cdot e^{-x}[/tex] (2)
Where [tex]y'' > 0[/tex].
If we know that [tex](x, y) = (1, 10)[/tex], then we have the following system:
[tex]10 = a\cdot e^{-1}+b[/tex] (3)
[tex]b = a\cdot e^{-1}[/tex] (4)
[tex]y'' = a\cdot e^{-1}[/tex] (5)
By (4) in (3):
[tex]10 = 2\cdot a\cdot e^{-1}[/tex]
[tex]a = \frac{10}{2\cdot e^{-1}}[/tex]
[tex]a = 5\cdot e[/tex]
By (5) we prove that [tex]y'' > 0[/tex], and we get the value of [tex]b[/tex] by (4):
[tex]b = 5[/tex]
Thus, the formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].
We kindly invite to check this question on first and second derivative tests: https://brainly.com/question/6097697
Solve the following system of equations graphically and check
3x - y = 3
Y=2x-7
Answer:
x = -4 and y = -15
Hope This Helps!!!
HELPPP PLS
A store sells a 1 1/4
pound package of turkey for9$ .
What is the unit price of the turkey in the package?
A
$11.25\$ 11.25$11.25 per pound
B
$10.25\$ 10.25$10.25 per pound
C
$7.75\$ 7.75$7.75 per pound
D
$7.20\$ 7.20$7.20 per pound
Answer:
D. $7.20
Step-by-step explanation:
9/1.25 = $7.20
The letter w represents a whole number such that 2021 + w is a multiple of 7. What is the smallest possible value of w?
Answer:
2
Step-by-step explanation:
2021/7 leaves a remainder of 5 so add 2 and that's the answer
Explain how you can write 4.1 as a/b
Answer:
ax + by
Step-by-step explanation:
i hope its correct
if its wrong then im sorry :)
What does y= when x = -1?
At a local print shop, 14 copies can be made for $4. At this rate, how how many copies could be made for $8?
Full explanation (No links)
Answer:
28
Step-by-step explanation:
the ratio is written as copies/dollars.
14/4=x/8
since we can multiply 4 by 2 to get 8, multiply 14 by 2 as well.
14/4=28/8
I need help with this problem! please hurry have 3 more after so let me know if you want to do them to and ill give 200 points.
CALCULATE THE AVERAGE RATE OF CHANGE OF THIS POLYNOMIAL ON THE
INTERVAL (-1.1)
Answer:
-1
Step-by-step explanation:
The average rate of change of function f(x) on the interval [a, b] is ...
m = (f(b) -f(a))/(b -a)
We have ...
f(-1) = (-1)^5 -2(-1) +3 = -1 +2 +3 = 4
f(1) = (1)^5 -2(1) +3 = 1 -2 +3 = 2
Then the average rate of change is ...
m = (2 -4)/(1 -(-1)) = -2/2 = -1
The average rate of change on the given interval is -1.
mayor jones received 1027 votes his opponent received 949 votes how many votes did mayor jones win by? 6th grade help most hepful answer gets 5 stars a comment and a like
Answer:
[tex]︎{\blue{\rule{25pt}{1pt}{\purple{\rule{30pt}{3pt}{\red{\rule{50pt}{99999pt}{\purple{\rule{30pt}{3pt}{\blue{\rule{25pt}{1pt} }}}}}}}}}}︎︎︎[/tex]
if AB=12 cm and BC =13 cm then AC = 25 cm
Answer:
AB=12
Hope this helps!
juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?
Answer:
240$
Step-by-step explanation:
juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?
48 : 20 * 100 = 240
in
given points.
1. (10,4), (4, 15)
Find the slope of the line.
Answer:
[tex]m = -\frac{11}{6}[/tex]
Step-by-step explanation:
Slope is rise over run.
[tex]\frac{15-4}{4- 10}=\frac{11}{-6} = \boxed{-\frac{11}{6}}[/tex]
Hope this helps.
The pair of points (-4, y) and (5, 7) lie on a line with slope 1/3. What is the value of y? You must show all of your work to receive credit
Answer:
4
Step-by-step explanation:
[tex]slope = \frac{y - 7}{ - 4 - 5} = \frac{1}{3} [/tex]
y-7=-3, then y=4
b ÷ 0.52 for b = 6.344
Answer:
the answer is 12.2
[tex] \frac{b}{0.52} \\ we \: know \: b = 6.344 \\ then \\ \frac{6.344}{0.52} \\ = 12.2[/tex]
Help please (due today) plz hellpp i cant solve it plz dont write anything just for points plzz
Answer:
After reviewing the question you posted I have deduced that the correct answers are:
11) Max has $10.00. He earns $25.75 per lawn that he mows.
12) No. She is wrong. She did not group like terms correctly.
Step-by-step explanation:
11)
For 11) I first identified the independent variable of the equation, being "10".
And then the dependent variable of the equation, being "25.75". (The dependent variable of an equation will always be affected by the x)
I then looked at all the possible answers to see which one shared a independent variable of "10" and a dependent variable of "25.75".
The only possible answer that matches is Max has $10.00. He earns $25.75 per lawn that he mows.
This is because the only two possible answers that have "10" being a variable that does not change (independent variable) are:
--- "Max has $10.00. He earns $25.75 per lawn that he mows.
--- "Jon buys 10 toycars for $25.75 each"
However!
"Jon buys 10 toycars for $25.75 each" is an incorrect answer because it uses "10", although independent, as the x variable that affects the independent variable of "25.75".
12)
To find the correct answer for this question I simplified the equation from:
8t-15+3t = 11m-15
Into:
8t+3t-15 = 11m-15
Which further simplifies into:
11t-15 = 11m-15
Which then you can notice that the two equations are similiar indeed, however they do not share like terms. One equation has "t" as their term, and the other as "m" as their term. Thus they do not share any like terms and are not equivalent.
Solve the given equations. PLEASE show your work. Tell me if there is no solution or infinite.
17 + 2(1 + 3x) = x - 5(3 - x)
Answer:
x = 17/5
Step-by-step explanation:
17+2+6x = x-15 +5x
19+6x =16x -15
19+15 = 16x-6x
34 = 10x
34/10= 10x/10
17/5 = x
x = 17/5 or 3 2/3
Plz help guys!!!!!!!!
Answer:
3
2
Step-by-step explanation:
Solve the triangles for X: include the steps if you can
Answer:
10) x=9
11) x=25
Step-by-step explanation:
a triangle is 180º total
10) 2x+8x+90=180
10x=90
x=9
11) 3x+1+2x+2+2x+2=180
7x+5=180
7x=175
x=25
(NO LINKSS PLS)(PLS ANSWER) Rayshawn is making sewing kits. Each kit gets 2 thimbles. the ratio of thimbles to spools of thread in each kit is 2:8, and the ratio of needles to thimbles is 4:2. Which statement below is always true? Explain Your reasoning.
Rayshawn needs half as many needles as spools of thread.
OR
Rayshawn needs 4 fewer needles than spools of thread.
Answer:
864 inches
12*3=36
36*24=864
Step-by-step explanation:
Hope this helps:)
Answer:
12*3=36
36*24=864
Step-by-step explanation:
Original price of shorts $53.95 Discount 30% Tax 4.5? Please help what’s the correct answer ???
PLEASE HELPPPP MEEEEE
Answer:
With discount : $37.76
With tax : $56.38
With both : $40.19
Step-by-step explanation:
Hope this helps
Help help please last question please correct I’ll give points
Answer:
First is translation then dialation darlin
Step-by-step explanation:
i say this because of the size of grid
Given the perimeter find the unknown side length. P= 1,000 x =?
Answer:250
Step-by-step explanation:
a square had 4 sides, the perimeter is 1,000. 1,000/4+250 :)
Help me with question 9
Answer:
a) 5.25m^2
b) 1 can
Step-by-step explanation:
a)
area of a triangle = bh/2
=(4.2 x 4.5)/2
=18.9/2
=9.45m^2
area of a rectangle = 2(l+w)
=2 x (0.6 + 1.5)
=4.2m^2
9.45-4.2 = 5.25m^2
b) 1 can, you can't have a partial can of paint