The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°.
Complete question :
The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°How far is the point from the base of the tower.
Answer:
4.04 meters
Step-by-step explanation:
To obtain the distance between baso of tower and point P on the ground as shown in the solution diagram :
Using trigonometry :
Tan θ = Opposite / Adjacent
Tan 22° = x / 10
0.4040262 = x / 10
0.4040262 * 10 = x
x = 4.04
Hence, distance between base of tower and point P on the ground is 4.04 meters
Harper is working two summer jobs, making $19 per hour lifeguarding and making $8 per hour walking dogs. In a given week, she can work at most 7 total hours and must earn a minimum of $80. If x x represents the number of hours lifeguarding and y y represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
We know that:
She makes $19 per hour of lifeguarding.
She makes $8 per hour walking dogs.
She can work at most 7 hours per week.
She must earn a minimum of $80 per week.
If x represents the number of hours lifeguarding and y represents the number of hours walking dogs, the inequalities will be:
x + y ≥ 7 hours.
(this says that she can work at most 7 hours per week)
x*$19 + y*$8 ≥ $80
(this says that she can earn a minimum of $80)
Then the system of inequalities is:
x + y ≥ 7 hours.
x*$19 + y*$8 ≥ $80
To graph these two we can write them as lines in standard form and simply graph both inequalities, the solution of the system will be the intersection between the solutions of each inequality.
Here we also should add the inequalities:
x ≥ 0
y ≥ 0
So we only look at the first quadrant.
The graph can be seen in the image below: (the dark blue is the solution region for the first inequality, the light blue one is the solution region for the second inequality)
One possible solution can be:
x = 4 and y = 1
or
x = 4 and y = 2
and there are a lot of other possible solutions.
Answer:
Step-by-step explanation:
Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two other equivalent forms. Explain how each form was created. (10 points)
Answer:
Here is the answer
Step-by-step explanation:
On paper
Please help! If you do you get 'Brainliest'
Answer:
D
Step-by-step explanation:
when dealing with percentages move the decimal back two to get its absolute value
What is 4592 rounded to the nearest hundreds
Answer:
4600 is the answer to this
Whats 2 plus 2? Whats 10 plus 10? And whats 8 plus 8?
[tex] \bold{THE \: ADDITION}[/tex]
or addition is the mathematical operation of composition that consists of combining or adding two or more numbers to obtain a final or total quantity. The addition also illustrates the process of joining two collections of objects in order to obtain a single collection
----------------------------------------------------------------------------------------------
[tex] \red{ \huge{ \texttt{ACTIVITY}}}[/tex]
Whats 2 plus 2? [tex] \boxed{2+2=4}[/tex]Whats 10 plus 10? [tex] \boxed{10+10=20}[/tex]And whats 8 plus 8?[tex] \boxed{8+8=16}[/tex]----------------------------------------------------------------------------------------------
[tex] \bold{BRAINLY MENTALMENTE}[/tex]
Answer:
2 + 2 = 4
10 + 10 = 20
8 + 8 = 16
Step-by-step explanation:
Una piramide tiene como base un hexagono regular de 6cm de lado y la altura de la piramide es de 10cm . Calcula la apotema de la piramide (altura de las caras triamgulares) y su area total
Answer:
a) 5.2 cm
b) 296.38 cm²
Step-by-step explanation:
a) Encontrar la apotema
La fórmula se da como:
A = s / 2 bronceado (180 / n)
s = Largo del lado = 6cm
n = Número de lados = 6 porque el polígono es un hexágono
Por eso,
Apotema = 6/2 × bronceado (180/6)
= 6/2 × tan 30
= 5.1961524227cm
Aproximadamente = 5.2 cm
Apotema = altura de las caras triangulares = 5.2cm
b) Superficie total
Área de superficie de una pirámide hexagonal = 3√3 / 2b² + 3b√h² + 3b² / 4
b es la longitud de la base. = 6cm
s es la altura inclinada. = 10cm
3√3 / 2 × 6² + 3 × 6√10² + 3 × 6² / 4
A = 296.38 cm²
i need help with all of them lololol
Answer:
(If you need the actual explanations for each one, just ask in comments)
Step-by-step explanation:
1: D
2: G
3: A (60/100 = 6/10 = 3/5)
4: H (Min = 18, Q1 = 19, Median = 23, Q3 = 24, Max = 26)
5: C (2:6 = 1:3; 3:9 = 1:3)
6: J (2:15 = 10:75; multiply each side by 5)
7: A (A & B: 6*2/3 = 4, 4 < 6, 4 not > 6. C: 6*3/2 = 9, 9 not < 6. D: 6*3/3 = 6 not > 6).
\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} x 4 −2x 3 x−5 ⋅ x 2 −3x−10 x 2 −4
Answer:
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10}[/tex]
Required
Solve
Express [tex]x^2-4[/tex] as difference of two squares
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]
Factorize [tex]x^4 - 2x^3[/tex]
[tex]\frac{x-5}{x^3(x-2)}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]
Cancel out x - 2
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2-3x-10}[/tex]
Expand [tex]x^2 - 3x - 10[/tex]
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2+2x-5x-10}[/tex]
Factorize:
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x(x+2)-5(x+2)}[/tex]
Factor out x + 2
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{(x-5)(x+2)}[/tex]
Cancel out x - 5 and x + 2
[tex]\frac{1}{x^3}\cdot \frac{1}{1}[/tex]
[tex]\frac{1}{x^3}\cdot 1[/tex]
[tex]\frac{1}{x^3}[/tex]
Hence:
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]
Choose the correct simplification of the expression a^9 multiplied by b^10/a^2 multiplied by b^7
A^11b^17
1/a^11b^17
1/a^7b^3
A^7b^3
Answer:
a^7 b^3
Step-by-step explanation:
The question can be interpreted as
[(a^9)( b ^10)] / [(a^2 )×( b ^7)]
Then we can bring the denominator up, which means the power on the denominator will become (-ve) once it comes to the numerator side. Then we have
a^(9-2) × b^(10-7)
We can simplify by performing substraction on the power
= a^7 b^3
Find the missing side
Answer:
15
Step-by-step explanation:
its 90 degrees so the other side will be the same
Answer:
b=20
Step-by-step explanation:
a^2 + b^2 = c^2
15^2 + b^2 = 25^2
225 + b^2 = 625
b^2 = 625-225
b^2 = 400
b = 20
The ratio of the cost of a ticket to the number of tickets is 15:1. If the Cox family spent $45 on
tickets, how many tickets did they buy?
They bought 3 tickets! Hope this helps :) ✨
Which of the following graphs is NOT a function?
Answer:
11. B
12. C
Step-by-step explanation:
11. The x-axis number cannot have repeating numbers for it to be a function. The y-axis can have repeating numbers.
12. The graph on C passes the vertical line test, thus it's a function.
PLEASE HELP FAST
Part A: Find the value of c that will result in a perfect square trinomial.
x2 + 18x + c = 25 + c
Expand the expression 3(-2a+3b)
Answer:
-6a +9b
Step-by-step explanation:
First distribute 3 to terms inside parenthesis
-6a + 9b
Final answer -6a +9b
PLEASE HELP MEEEE
A woman is laying on the ground relaxing and looking up at a plane that is passing by. If the plane’s altitude is 30,000 feet and the woman’s eyes are located 13,800 feet away from a point on the ground directly beneath the plane, what is the angle of elevation for the woman’s line of sight to the plane?
Answer:
23,500
Step-by-step explanation:
Kevin made $342 for 18 hours of work. At the same rate, how many hours would he have to work to make $247?
Answer:
13 hours
Step-by-step explanation:
First you have to find the hourly rate at which money is being earned. To do so you divided the money earn ($342) by how many hours it took to earn (18 hours).
Once you do that you're given $19.00 per hour.
Now take the money earned with the unknown time ($247) and divide it by money being made per hour ($19) and you're given 13 hours
Answer:
13
Step-by-step explanation:
First, you need to find out how much money he is making per hour. To do that, we need to do $342 divided by 18 hours. This gives us 19. We now know that Kevin is making $19 an hour. Next, do $247 divided by $19. This gives us 13. He would need to work 13 hours to make $247.
help needed asap will give brainliest
can someone please help me
Answer:
a ≤ −4 or a ≥ 8
Step-by-step explanation:
Hope This Helps!
Mary bought a purse which was marked at 25% off. The original price of the purse was
$45.00. If the sales tax is 8% and applied after the discount, how much did Mary pay for the purse?
Answer: $36.45
Step-by-step explanation:
45(.25)=11.25
45-11.25=33.75
33.75(.08)=2.70
33.75+2.70=36.45
please help a girl out!! Im really confused
A data set has a mean of 7, a median of 5, and a mode of 8. Which of the numbers (7, 5, or 8) must be in the data set?
7
5
8
Answer:
8 has to be included in the data set. Since 8 is the mode, and the mode is the number that is seen the most in a set of numbers, 8 has to be in the data set for it to be the mode. Therefore, the answer is 8.
can someone please help me is it < 2 or n> 9
Answer:
n < 2 or n > 9
Step-by-step explanation:
2n + 6(n - 1) < 10 or 3n - 2(n - 3) > 15
2n + 6n - 6 < 10 or 3n - 2n + 6 > 15
8n - 6 < 10 or n + 6 > 15
8n < 16 or n > 9
n < 2 or n > 9
Maria's art class is 7 hours long. How long is her class in minutes?
Answer:
420 minutes
Step-by-step explanation:
You would have to multiply 7 hours by 60 minutes to get 420 minutes.
Hope this helped you out!!
Not super good at understanding surface area yet, someone answer it please.
Guys pls help me!!!!!!
Answer:
B
Step-by-step explanation:
If x is any larger than 4 it would be greater than 5, since 2*4-3=5
If x was any smaller than -1 it would be greater than 5, since 2*-1-3=|-5|=5
C hope this help you
Can u pls help me with this question
Answer:
80
Step-by-step explanation:
14 × 20 = 280
1400 - 280 = 1120
1120 ÷ 14 = 80
The scores of two school volleyball teams are recorded.
Team A scored the following points per game: 20, 17, 25, 25, 13, 25, 12, 25, 25
and 23.
Team B scored the following points per game: 25, 25, 9, 10, 25, 11, 25, 15, 10
and 25.
What is the mean of Team A?
What is the mean of Team B?
Time A:
Para obter a média temos que somar todos os pontos e dividir pela quantidade de pontos, ou seja, 20 + 17+ 25+ 25+ 13+
25+ 12+ 25+25 +23= 210/10= 21
A média do time A é 21 pontos.
Time B:
O mesmo procedimento,
25+ 25+ 9+ 10+ 25+
11+25+ 15+10 + 25= 180/10= 18
A média do time B é 18 pontos.
Paolo keeps track of his favorite baseball player's batting average, and notices the average is 0.4727272.... If his player has 55 at bats, what is the number of hits?
Answer:
No of hits = 26
Step-by-step explanation:
Given that,
Batting average = 0.4727272
His player has 55 at bats.
We need to find the number of hits. Let the number of hits be x. Using formula for average as :
[tex]\dfrac{x}{55}=0.4727272\\\\x=0.4727272\times 55\\\\x=25.99\\\\or\\\\x=26[/tex]
So, there are 26 number of hits.
Is (4, 3) a solution to the inequality 10x + 2y > 3?
Answer:
Yes
Step-by-step explanation:
10x + 2y > 3
Substitute the point into the inequality
10(4)+2(3) > 3
40+6>3
46>3
This is a true statement so the point is a solution
what is (-10,10) if i dilate it by 1/2