The number of personal trips for leisure travel will be equal to 1.5 billion.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that out of 2 billion person trips, 75 per cent were leisure travel.
The number of the person trips will be calculated as,
N = ( 2 x 75 ) / 100
N = 150 / 100
N = 1.5 Billion
Therefore, the number of personal trips for leisure travel will be equal to 1.5 billion.
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find the diameter of a circle with the circumference of 10cm
Which answer choice correctly names the circle?
Answer:
Step-by-step explanation:
Is their suppposed to be a pic
The diagram shows nine identical squares inside a rectangle.
The length of the rectangle is 18cm
Work out the width of the rectangle
Answer:
18 cm
Step-by-step explanation:
Let X represent a square
For it to be a rectangle, needs to be:
X X X
X X X
X X X
(It's a giant square made of squares)
This works since a square is a rectangle, but a rectangle isn't always a square. No other arrangement of the squares lead to a rectangle.
For Example:
X X X X
X X X X X
It doesn't work because there is an odd number of squares, and only would work if it was a multiple of 3,5,7 etc.. and 3 is the only number that fits.
So if the length is 18cm, the width is also 18cm.
The width of a rectangle is 5 feet shorter than its length. If the area of the rectangle is 24 square feet, find the dimensions of the rectangle.
Lets look at the possible factors of 24. 24*1, 12*2, 8*3, and 6*4. Only 8 and 3 have a difference of 5, so the rectangle has the dimentions of 8 by 3.
A ladder leans against the wall at the point B
(window end) from a ground level and makes an
angle horizontally at 52º. The height of ladder is 15
m. When the same ladder leans above the point B
at point A (window start) and makes an angle of 85°
horizontally. The distance between point A and
point B is
Answer:
..........
Step-by-step explanation:
Given:
The height of the ladder = 15 m
When the ladder leans at point B from the ground level, then it makes an angle of 52° with the horizontal
When the ladder leans at point A from the ground level, then it makes an angle of 85° with the horizontal
To find:
The distance between point A and point B is?
Solution:
To solve the above-given problem, we will use the following trigonometric ratio of a triangle:
Referring to the figure attached below, we will assume,
BD = AD = 15 m = height of the ladder
∠BDC = 52° = angle of elevation to the foot of the window
∠ADC = 85° = angle of elevation to the top of the window
Now,
In ΔBCD, we have
Opposite side = BC
Hypotenuse = BD = 15 m
θ = 52°
∴
and
In ΔACD, we have
Opposite side = AC
Hypotenuse = AD = 15 m
θ = 85°
∴
∴ The height of the window, AB = AC - BC = 14.94 m - 11.82 m = 3.12 m
Thus, the distance between point A and point B is 3.12 m.
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A ladder leaning against a wall makes an angle of 60 degree with the horizontal If the foot of the ladder is 2.5 m away from the wall , find the length of the ladder.
Which of the following set of angles is possible for a triangle
Answer:
2. Isosceles
4. 25, 65, 90
Step-by-step explanation:
Isosceles triangles have two equivalent sides
All the interior angles of triangles always add up to 180 degrees
Awnser this please and thank you if u don’t not give me bad awnsers I will give u a brainliest
Answer:
slope = 20
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (10, 200) ← 2 points on the line
m = [tex]\frac{200-0}{10-0}[/tex] = [tex]\frac{200}{10}[/tex] = 20
In circle M secants overline PAMD and overline PBC are drawn from point P such that m arc BM=100 and m arc CD=62. Which of the following is the measure of angle P?
1) 19
2) 22
3) 34
4) 40
I need help solving this problem. 15-1(12÷4+1)
Answer:
11
Step-by-step explanation:
1. First do the brackets because BEDMAS
So, (12÷4+1) = 4
2. 15 - 1 x 4
3. 15 - 4
4. 11
Hope this helps! :)
Use the symbolab website/app it's really helpful
Find the area of each regular polygon
Carter needs to wrap seven presents. He lays the ribbon out flat and says that I'll have just enough pieces if I make six equally spaced cuts, I can use one piece for each package. And I won't have any pieces left over. Does he have enough pieces to wrap all the presents?
Answer:
Yes, he has enough pieces to wrap the present
Step-by-step explanation:
Given
[tex]Presents = 7[/tex]
[tex]Cuts = 6[/tex]
Required
Is there enough pieces to wrap all presents
As a general rule;
When a piece is cut in 1 place, you get 2 pieces
When a piece is cut in 2 places, you get 3 pieces
When a piece is cut in 3 place, you get 4 pieces
This implies that:
n cuts gives n + 1 pieces
i.e.
[tex]n \to n + 1[/tex]
So, we have:
[tex]6\ cuts \to (6 + 1) pieces[/tex]
[tex]6\ cuts \to 7\ pieces[/tex]
Hence, there are enough pieces.
simply the complex numbers: (2 + 5i)(1 – 3i)
Answer:
17 just multiply the like dot product of vectors
1/6 + 1/2 x (2 -2/3)
Answer:
5/6
Step-by-step explanation:
See the steps below:)
Answer:
5/6
Step-by-step explanation:
PEMDAS
Of the 585 people that live in Benton, 187 live within two miles of the post office. Use mental math to find how many people live farther than two miles from the post office.
It clearly states to use mental math not brainly, sorry bro can't do anything for you
Resh's gross pay is $1300 per fortnight. Fortnightly deductions from her gross pay are: PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay??
Answer:
$1182.65
Step-by-step explanation:
Given :
Fortnight gross pay = $1300
Given :
PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay
FNPF = 5% = 0.05 * $1300 = $65
PAYE = $31.85 ; HEALTH INSURANCE = $20.50
Total deduction = $(65 + 31.85 + 20.50) = $117.35
Net pay :
Gross pay - deduction
$1300 - $117.35 = $1182.65
13. Jack has to make at least $140 per week mowing lawns. He makes $20 per lawn. At least
how many lawns does he need to mow?
Answer:
7
Step-by-step explanation:
you divide 140 by 20 & it gives you 7 i hope this helps ..
A quadratic equation that has x-intercepts of (-2,0) and (8,0), a stretch of 3 and a vertex is a minimum. Find the equation of the parabola
Answer:
c) The standard form of the quadratic equation, y = a·x² + b·x + c
The standard form of the quadratic equation is y = 3·x² - 18·x - 48.
Step-by-step explanation:
[tex]2h-3\ \textgreater \ 15[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{2h - 3 }\mathsf{>}\large\textsf{ 15}[/tex]
[tex]\large\text{ADD 3 to BOTH SIDES}[/tex]
[tex]\large\textsf{2h - 3 + 3 }>\large\textsf{ 15 + 3}[/tex]
[tex]\large\text{CANCEL out: \textsf{-3 + 3} because that gives you 0}[/tex]
[tex]\large\text{KEEP: \textsf{15 + 3} because it helps you solve for your h-value}[/tex]
[tex]\large\textsf{15 + 3 = \boxed{\large\textsf{\bf 18}}}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{2h} }\mathsf{>}\large\textsf{ 18}[/tex]
[tex]\large\text{DIVIDE 2 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{2h}{2}>\dfrac{18}{2}}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\text{ because it gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{18}{2}}\large\text{ because it gives you your h-value is being compared to}[/tex]
[tex]\large\text{NEW EQUATION: }\mathsf{h > \dfrac{18}{2}}[/tex]
[tex]\mathsf{\dfrac{18}{2}}[/tex]
[tex]\mathsf{= 18\div 2}[/tex]
[tex]=\boxed{\mathsf{\large\textsf {\bf 9}}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf h > 9}}}\huge\checkmark\\\\\boxed{\boxed{\rm \bf It\ it\ an\ O P E N E D\ circle\ shaded}}\\\boxed{\boxed{\rm \bf to\ the\ right\ starting\ at\ point\ 9}}\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex] \quad \quad \quad \quad\tt{2h - 3 > 15}[/tex]
Let's solve![tex] \quad \quad \quad \quad\tt{2h - 3 > 15}[/tex]
Add both sides by 3.[tex] \quad \quad \quad \quad\tt{2h - 3 + 3 > 15 + 3}[/tex]
[tex]\quad \quad \quad \quad\tt{2h \: \: \cancel{ \color{red}- 3 + 3} \: > 15 + 3}[/tex]
[tex]\quad \quad \quad \quad\tt{2h > 18}[/tex]
Divide it by 2.[tex]\quad \quad \quad \quad\tt{ \frac{2h}{2} > \frac{18}{2} }[/tex]
[tex]\quad \quad \quad \quad\tt{ \frac{ \cancel{ \color{red}2}h}{ \cancel{ \color{red}2}} > \frac{18}{2} }[/tex]
[tex]\quad \quad \quad \quad\tt{ h > \frac{18}{2} }[/tex]
[tex]\quad \quad \quad \quad\tt{ h > 9}[/tex]
Hence the answer is:[tex]\quad \quad \quad \quad \boxed{\tt { \color{green}h > 9}}[/tex]
________
#LetsStudy
En una compañía se realiza una encuesta a 200 personas, se encontró la siguiente distribución, en el uso de máquinas eléctricas, mecánicas y computadoras: Eléctricas 110, mecánicas 50, computadoras 60. Mecánicas y computadoras 25, eléctricas y computadoras 35, eléctricas y mecánicas 40. Las tres 20 y 60 nada. A) Encuentre el número de personas que o usan computadora. B) Que usen una maquina eléctrica pero no computadora. C) Que usen solo un equipo. D) Que usen mecánica y eléctrica pero no computadora. E) Cuantos no tienen ni maquina eléctrica ni mecánica.
Answer:
A) 140
B) 75
C) 80
D) 20
E) 80
Step-by-step explanation:
Para resolver este problema debemos construir un diabrama de Venn y llenarlo según los datos que se nos brindan.
Comenzamos nombrando cada círculo:
E= personas que usan máquinas eléctricas
M= personas que usan máquinas mecánicas
C = personas que usan computadoras.
- Luego llenamos el área central con un 20, el cual representa las personas que usan los 3 tipos de maquinas.
- En la parte exterior del diagrama de Venn colocamos un 60 por las personas que no usan ninguna de las máquinas.
- En la intersección entre M y C restamos:
25-20=5
Entonces colocamos este 5 en esa región.
- En la intersección entre E y C restamos:
35-20=15
Entonces colocamos este 15 en esa región.
- En la intersección entre E y M restamos:
40-20=20
Entonces colocamos este 20 en esa región.
- En la región de E restamos:
110-20-20-15=55
Entonces colocamos este 55 en esa región.
- En la región de M restamos:
50-20-20-5=5
Entonces colocamos este 5 en esa región.
- En la región de C restamos:
60-15-20-5=20
Entonces colocamos este 20 en esa región.
Y obtenemos el diagrama de Venn que representa esta encuesta (Ver figura adjunta)
Y ahora ya lo podemos usar para responder a las preguntas:
A) Número de personas que no usan computadora. Sumamos los números fuera del círculo C:
55+20+5+60=140
B) Número de personas que usan una máquina eléctrica pero no computadora: Sumamos los números dentro del círculo E con excepción de los números compartidos por el círculo C y obtenemos:
55+20=75
C) Número de personas que usan solo un equipo: Sumamos los números no compartidos en los círculos E, M y C
55+20+5=80
D) Número de personas que usan máquina mecánica y eléctrica pero no computadora: Usamos el número compartido entre E y M que no son compartidos con C
20
E) Sumamos el número que se encuentra solo en C y los que están afuera del diagrama:
20´60=80
A tire has a diameter of 42 inches. How far along the ground does the tire travel if it rolls and makes 5 revolutions? Use 3.14 as an approximation for
Answer:
659.4 inches
Step-by-step explanation:
C = 2*3.14*21
C = 131.88
131.88*5 = 659.4 inches
An Australian Wallaby walked 5 miles to the coast in 3 and 3/4 hours. What was the wallabys speed in miles per hour?
Answer:
1 1/3 mph
Step-by-step explanation:
distance = rate x time
5 = 3.75r
5/3.75 = r
r = 1 1/3 mph
Can someone help me with this thank you
Answer:
30 sq cm
Step-by-step explanation:
The area of a parallelogram is the base times the height. We can see that the base is 10 cm, and 3 cm would be the height because it is perpendicular to the base. We get the equation:
Area = 10 cm x 3 cm
Area = 30 sq cm
If CD represents 100%, what is the length of a line segment that is 25%? Explain.
Answer:
(1/4)CD
Step-by-step explanation:
The length of a segment that represents 25% will be 1/4 as long as the segment representing 100%.
25% is 1/4 of 100%
25% = 1/4 = 0.25
Write down the percentage multiplier used to decrease an amount by 45%
?????????!!?????????????!!!????
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
need a answer for this please
Petra invests $8000 for 4 years she earned $2000 as compound interest find rate of interest
Answer:
r = 5.74%
Step-by-step explanation:
Compound interest formula is expressed as;
A = P(1+r)^t
P is the principal = $8000
A = P+I =8000 + 2000 = $10000
time t = 4years
Substitute
10000 = 8000(1+r)^4
10000/8000 = (1+r)^4
10/8 = (1+r)^4
1.25 = (1+r)^4
1.05737126344 = 1+r
r = 1.05737126344 - 1
r = 0.05737126344
r = 5.74%
This gives the rate of interest
write answer in equation y=mx+b
Answer:
y = 50x + 150
Step-by-step explanation:
The y-intercept is 150. b = 150
The slope is found using two points such as (2014, 450) and (2010, 250)
m = (450 - 250)/(2014 - 2010) = 200/4 = 50
y = mx + b
y = 50x + 150
3/4 + (1/3 ÷ 1/6) - (-1/2)
Please give answer as a fraction
Answer: 13/4
Step-by-step explanation: it was 3.25 and that as a fraction is 13/4
3/4 + ( 1/3 × 6 ) + 1/2 =
3/4 + 2/4 + ( 2 ) =
3 + 2/4 + 8/4 =
5/4 + 8/4 =
5 + 8/4 =
13/4
DEFINATION OF HABIT IN 50 WORLDS?
Answer:
Something you do frequently or on a regular basis is known as a habit.
When he gets nervous, he has a cute habit of licking his lips. [includes]
...an investigation into the eating habits of people in the United Kingdom.
Step-by-step explanation: