===================================================
Work Shown:
x = starting length of the shadow
y = height of the pole
tan(angle) = opposite/adjacent
tan(58) = y/x
1.6003345 = y/x
1.6003345x = y
x = y/1.6003345
x = (1/1.6003345)y
x = 0.62486936y
-------------------------
When the angle changes, the adjacent side gets 90 meters longer
tan(angle) = opposite/adjacent
tan(36) = y/(x+90)
0.72654253 = y/(0.62486936y+90)
0.72654253(0.62486936y+90) = y
0.453994166y + 65.3888277 = y
65.3888277 = y-0.453994166y
65.3888277 = 0.546005834y
0.546005834y = 65.3888277
y = 65.3888277/0.546005834
y = 119.758478075162
y = 119.76
The height of the pole is about 119.76 meters.
8. PLEASE HELP ME
Order the group of quadratic functions from widest to narrowest graph.
y= 6x2, y= -4.5x2, y= -x2
A. y= -4.5x2, y= -x2, y= 6x2
B. y= 6x2, y= -4.5x2, y= -x2
C. y= -x2, y= 6x2, y= -4.5x2
D. y= -x2, y= -4.5x2, y= 6x2
Answer:
B. y= 6x2, y= -4.5x2, y= -x2
Step-by-step explanation:
y = 6x2, y = −4.5x2, y = −x2
This should be correct )
To solve this problem you must keep on mind the following information: By definition, a quadratic function has the following form:
y=ax^{2}+bx+c
Where a is the leading coefficient.
If the leading coeficient is closer to zero, the parabola is widest,if it has a larger positive or negative value, the parabola is narrowest.
Therefore, by knowing the information above, you have that the answer is:
y=- x^{2} \\ y=-4.5 x^{2} \\ y=6 x^{2}
solving polynomial(-2y-6)(-3y-8)
Answer:
(-2y-6)(-3y-8)
= 6y²+16y+18y+48
= 6y²+ 34 y +48
Hope this helps
if u have question let me know in comments ^_^
Answer:
Here is your answer!!!
Step-by-step explanation:
-2y(-3y-8)-6(-3y-8)
6y^2+16y+18y+48
6y^2+34y+48
Convert to slope-intercept from: y-4=9(x-7)
Answer:
y = 9x - 59
Step-by-step explanation:
y - 4= 9(x-7)
y - 4 = 9x - 63
y - 4 + 4 = 9x - 63 + 4
y = 9x - 59
Answer:
Below
Step-by-step explanation:
● y-4 = 9(x-7)
Multiply 9 by (x-7)
● y-4 = 9x - 63
Add 4 to both sides
● y-4+4 = 9x-63 +4
● y = 9x - 59
Which expressions are equivalent to -3(2w+6)-4−3(2w+6)−4minus, 3, left parenthesis, 2, w, plus, 6, right parenthesis, minus, 4 ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 6w-146w−146, w, minus, 14 (Choice B) B 2(-3w+(-11))2(−3w+(−11))2, left parenthesis, minus, 3, w, plus, left parenthesis, minus, 11, right parenthesis, right parenthesis (Choice C) C None of the above
Answer:
B. 2{-3w+(-11)}Step-by-step explanation:
Given the expression, -3(2w+6)-4, we are to look for an equivalent expression for the equation.This is as shown:
Step 1: Open the parenthesis
= -3(2w+6)-4
= -3(2w)-3(6)-4
= -6w-18-4
Step 2: Simplify the resulting expression in step 1
= -6w-18-4
= -6w - 22
Step 3: factor out the common values from each term. Since the common value is 2, on factoring we will have;
2{-3w+(-11)}
Hence the equivalent expression is 2{-3w+(-11)}
Answer:
a and b
Step-by-step explanation:
no.
Jacob is playing a game where he earns 3 points for a correct answer and loses 2 points for an incorrect answer. He
currently has 6 points. What situation would end with him breaking even?
Answer:
Step-by-step explanation:
If he answers the next 3 questions incorrectly he will break even:
6 - 3(2) = 0.
Answer:
C. answering the last two questions correctly
Step-by-step explanation:
Did it on edge, hope this helps :) Brainliest?
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V
I Need HELP PLEASE ANYONE U GET 5 STARS IF RIGHT ANSWER !
Answer:
4√(7^5) and (4√7)^5
Step-by-step explanation:
7^5/4
The above can be expressed as follow: Method 1:
7^5/4
(7^5)^1/4
Recall:
(a^m)^1/n = n√(a^m)
Therefore,
(7^5)^1/4 = 4√(7^5)
Method 2:
7^5/4
(7^1/4)^5
Recall:
(a^1/m)^n = (m√a)^n
Therefore,
(7^1/4)^5 = (4√7)^5
From the illustration above, we can see that 7^5/4 can be expressed as 4√(7^5) and (4√7)^5
-2x + 8 = -26
plz help!!!!!!!!!!!!!
Answer:
x = 17
Step-by-step explanation:
-2x + 8 = -26
Subtract 8 from each side
-2x + 8-8 = -26-8
-2x = -34
Divide each side by -2
-2x/-2 = -34/-2
x = 17
Answer:
The answer is x=17
Step-by-step explanation:
−2x+8−8=−26−8
−2x=−34
−2x /−2 = −34 /−2
x=17
The ratio of length and breadth of a rectangular ground is 4:3 and the breadth is 75m. Find the length of the ground.
Answer:
the answer is 100m
Step-by-step explanation:
let 4:3 be 4x and 3x respectively
3x=75m
x=75÷3
x=25
Then,
4x=4*25
=100m
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
196 degrees
Step-by-step explanation:
360-164=196 degrees
the arch CDF=2*82=164
so the arch CGF =360-164=196 degrees
need help will give 5 stars.
Answer:
t=0.64
Step-by-step explanation:
h = -16t^2 +4t +4
We want h =0 since it is hitting the ground
0 = -16t^2 +4t +4
Using the quadratic formula
a = -16 b = 4 c=4
-b ± sqrt( b^2 -4ac)
----------------------------
2a
-4 ± sqrt( 4^2 -4(-16)4)
----------------------------
2(-16)
-4 ± sqrt( 16+ 256)
----------------------------
-32
-4 ± sqrt( 272)
----------------------------
-32
-4 ± sqrt( 16*17)
----------------------------
-32
-4 ± sqrt( 16) sqrt(17)
----------------------------
-32
-4 ± 4 sqrt(17)
----------------------------
-32
Divide by -4
1 ± sqrt(17)
----------------------------
8
To the nearest hundredth
t=-0.39
t=0.64
Since time cannot be negative
t=0.64
Answer:
0.64
Step-by-step explanation:
0 = -16t^2 + 4t + 4
-4(4t^2 - t -1) = 0
t = [-(-1) +/- sqrt (1 - 4*4*-1)] / 8)
t = 0.64, -0.39
answer is 0.64
When you calculate (ln) 7, you would be finding the value of which of the following expressions?
log_e 7
log_7 10
log_10 7
log_7 e
Answer:
log_e (7)
Step-by-step explanation:
(ln) 7,
ln stands for natural log, which is log base e
log_e (7)
Rachel's birthday party will cost $18 if she invites 6 guests. What is the unit rate?
Answer:
3
Step-by-step explanation:
Answer:
$3 per guest
Step-by-step explanation:
18/6
= 3
Approximately what is the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m, as shown in the diagram opposite?
Answer:
212m
Step-by-step explanation:
The set up will be equivalent to a right angled triangle where the height is the opposite side facing the 45° angle directly. The length of the rope will be the slant side which is the hypotenuse.
Using the SOH, CAH, TOA trigonometry identity to solve for the length of the rope;
Since we have the angle theta = 45° and opposite = 150m
According to SOH;
Sin theta = opposite/hypotenuse.
Sin45° = 150/hyp
hyp = 150/sin45°
hyp = 150/(1/√2)
hyp = 150×√2
hyp = 150√2 m
hyp = 212.13m
Hence the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m is approximately 212m
By applying trigonometry ratio, the length of the rope for the kite to sail would be: 212 m.
Recall:
Trigonometry ratios used to solve a right triangle are: SOH CAH TOAThe diagram describing the situation is attached below (see attachment).
Thus:
The reference angle [tex](\theta) = 45^{\circ}[/tex]
Let the length of the rope be x = Hypotenuse
Opposite = 150 m
To find the length of the rope (x), apply SOH
Thus:
[tex]Sin(\theta) = \frac{Opp}{Hyp}[/tex]
Substitute[tex]Sin(45) = \frac{150}{x}[/tex]
Multiply both sides by x[tex]x \times Sin(45) = \frac{150}{x} \times x\\\\x \times Sin(45) = 150[/tex]
Divide both sides by sin(45)[tex]\frac{x \times Sin(45)}{Sin(45)} = \frac{150}{ Sin(45)} \\\\\mathbf{x = 212 $ m}[/tex]
Therefore, by applying trigonometry ratio, the length of the rope for the kite to sail would be: 212 m.
Learn more here:
https://brainly.com/question/12718789
Which statement is true regarding the graphed functions
f(4)=g(4)
F(4)=g(2)
F(2)=g(-2)
F(-2)=g(-2)
Un ingeniero civil a cargo de una obra contrata una cierta cantidad de obreros. Estima que, si le
pagara S/ 1.400 a cada uno de los obreros, le faltarían S/ 8.000, pero si le pagara S/ 1.200 a cada
uno, le sobrarían S/ 2.000. El número de obreros que contrató es
Al plantear un sistema de ecuaciones lineales, encontramos que el número de obreros que contrató el ingeniero civil fue 50.
Para encontrar el número de obreros que el ingeniero contrató debemos plantear un sistema de ecuaciones lineales de dos ecuaciones con dos incógnitas, tal como sigue:
[tex] M - 1400*x = -8000 [/tex] (1)
[tex] M - 1200*x = 2000 [/tex] (2)
En donde:
M: es la incógnita igual al monto de dinero del ingeniero
x: es la incógnita igual al número de obreros
De la ecuación (1) tenemos:
[tex] M = 1400*x - 8000 [/tex] (3)
Podemos encontrar el valor de x (número de obreros), introduciendo la ecuación (3) en la ec (2):
[tex] 1400*x - 8000 - 1200*x = 2000 [/tex]
[tex] 200*x = 10000 [/tex]
[tex] x = 50 [/tex]
El monto de dinero inicial del ingeniero sería entonces (ec 3):
[tex] M = 1400*50 - 8000 = 62000 [/tex]
Por lo tanto, el número de obreros que contrató el ingeniero es 50.
Puedes aprender sobre otro método de resolución de sistemas de ecuaciones lineales ingresando acá: https://brainly.com/question/10831551?referrer=searchResults
Espero que te sea de utilidad!
Find the area and the perimeter of a triangle (shown below)
PLZZZ
Answer:
A = 120, P = 55
Step-by-step explanation:
Triangle
Area = (bh)/2
A = (20x12)/2
A =240/2
A = 120
Perimeter = a + b + c
to find c, use a^2 +b^2 = c^2
20^2 + 12^2 = c^2
400 + 144 = c^2
544 = c^2
c = about 23
20 + 12 + 23 = 55
A card is chosen at random from a standard deck of 52 cards. What is the probability that the card is a Queen or a $\diamondsuit$ (or both)?
Answer:
probability that the card is a Queen or a diamond= 0.3269
Step-by-step explanation:
There are 4 queen in a deck of cards and 13 diamond in a deck of cards.
And a deck of cards contains 52 cards total.
Probability of the card selected to be a queen = number of queen/total number of cards
Probability of the card selected to be a queen =4/52
Probability of the card selected to be a queen= 1/13
Probability of the card selected to be a diamond= number of diamond/ total number of cards
Probability of the card selected to be a diamond=13/52
Probability of the card selected to be a diamond=1/4
probability that the card is a Queen or a diamond= Probability of the card selected to be a queen + Probability of the card selected to be a diamond
probability that the card is a Queen or a diamond= 1/13+1/4
probability that the card is a Queen or a diamond= 0.3269
Between which two integers on a number line does -√120 lie on?
Answer:
-11 and -10
Step-by-step explanation:
● -√120 = -1 × √120
● -√120 = -1 × 2√30
● 30 is close to 25 so √30 is close to five but greater than it.
Multiplying 5 by -2 gives -10
Multipluing √30 by -2 gives you a number that is close to -10 but smaller than it.
So -√120 lies between -11 and -10
What is the domain of F(x) = In(x)?
Answer as an inequality: [tex]x > 0[/tex]
Answer in interval notation: [tex](0, \infty)[/tex]
Answer in words: Set of positive real numbers
All three represent the same idea, but in different forms.
======================================================
Explanation:
Any log is the inverse of an exponential equation. Consider a general base b such that f(x) = b^x. The inverse of this is [tex]f^{-1}(x) = \log_b(x)[/tex]
For the exponential b^x, we cannot have b^x = 0. We can get closer to it, but we can't actually get there. The horizontal asymptote is y = 0.
Because of this, [tex]\log_b(x)[/tex] has a vertical asymptote x = 0 (recall that x and y swap, so the asymptotes swap as well). This means we can get closer and closer to x = 0 from the positive side, but never reach x = 0 itself.
The domain of [tex]\log_b(x)[/tex] is x > 0 which in interval notation would be [tex](0, \infty)[/tex]. This is the interval from 0 to infinity, excluding both endpoints.
------------------------
The natural log function Ln(x) is a special type of log function where the base is b = e = 2.718 approximately.
So,
[tex]\log_e(x) = \text{Ln}(x)[/tex]
allowing all of what was discussed in the previous section to apply to this Ln(x) function as well.
------------------------
In short, the domain is the set of positive real numbers. We can't have x be 0 or negative.
Choose a value for n that will make the sum negative.
15 + n
In the Diagram, DEC is a ____ of ABC across line k.
rotation
glide reflection
reflection
translation
Answer:
Reflection
Step-by-step explanation:
A reflection is a mirrored image of a shape. Notice how DEC seems to be a "flipped" version of ABC, hence a mirrored image.
Cheers.
Can you please help me!!!!!
another find the equation of this line, please help meeee!
Answer:
y = 3/4x + 2
Step-by-step explanation:
to find the slope its rise over run and you go up 3 and run 4 to get 3/4. then you just look on the y axis and see that the line passes 2. so that is the answer
Order the expressions from least to greatest.
2^3 - 2^1 , 2^1 + 3^1 , 3^2
Answer:
2¹ + 3¹, 2³ - 2¹, 3²
Step-by-step explanation:
2³ - 2¹ = 8 - 2 = 6
2¹ + 3¹ = 2 + 3 = 5
3² = 9
Which measurement is equal to 6 kilograms?
Answer:
6000 metres is equal to 6 kilograms
22/55 of a number is what percentage of that number
Answer:
[tex]\boxed{40}[/tex]
Step-by-step explanation:
Divide 22/55 to get 0.4.
Multiply 0.4 * 100 to get 40.
That value is your percentage.
Answer:
40 percent
Step-by-step explanation:
22/55
simplify by 11
2/5
multiply by 20
40/100
turn to percent
40 percent
25. Solve for x.
[tex] \frac{x}{20} = \frac{1}{5} [/tex]
HELP as fast as you can if possible plz. thank you.
Answer:
x = 4
Step-by-step explanation:
x * 5 = 20 * 1
x = 4
Answer:
[tex]\boxed{x=4}[/tex]
Step-by-step explanation:
Hey there!
Well to solve for x we need to cross multiply,
x/20 = 1/5
5x = 20
Divide both sides by 5
x = 4
Hope this helps :)
PLEASEEE HELP ASAP ILL GIVE 20 POINTS
Answer:
0.47 yes, 0.1666... yes, 0.5473 no, 0.541 yes
Step-by-step explanation:
0.47 yes: is a repeating decimal
0.1666... yes: is a repeating decimal
0.5473 no: is neither terminating or repeating
0.541 yes: is terminating
Yesterday the temperature was -7°C. Today it is 8°C. In degrees Celsius, what is the change in
temperature?
Answer:
cold to hot hope it helps
Write the equation of the line that passes through the points (-3, -3) and (8,7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
Step-by-step explanation:
First you want to find the slope
y2-y1/x2-x1
7-(-3)/8-(-3)
Two negatives equal a positive. so Rewrite
7+3/8+3
10/11
Slope=10/11
To find the equation of the line..
y-y1=10/11(x-x1)
y-(-3)=10/11(x-(-3)
Again double negative, so rewrite
y+3=10/11(x+3)
y+3=10/11x+30/11
Subtract three from both sides to isolate 'y'
y+3-3=10/11x+30/11-3
y=10/11x+30/11-3
y=10/11x-3/11