Step-by-step explanation:
Given that,
Total no. of cards = 52 (Total no. of outcomes)
There are 12 face cards. No of favorable outcomes = 12
P(E) = favorable outcome/total no of outcomes
So,
[tex]P(F)=\dfrac{12}{52}\\\\=\dfrac{3}{13}[/tex]
There is 4 ace in a deck of 52 cards.
[tex]P(A)=\dfrac{4}{52}\\\\=\dfrac{1}{13}[/tex]
Hence, this is the required solution.
A ship travels due west for 83 miles . It then travels in northwest direction for 111 miles and ends up 165 miles from its original position. To the nearest tenth of a degree how many degrees north of west did it turn when it changed direction? Show your work.
*see attachment for the diagram of the information given
Answer:
115.8°
Step-by-step explanation:
Due west = 83 miles
Northwest = 111 miles
Distance to its original position = 165 miles
Let x represent the degree north of west that it turned when it changed direction which is the opposite angle of 165 miles.
Thus, to find x, we'd apply the Law of Cosine which is given as:
c² = a² + b² - 2ab*cos C
Where,
C = x
a = 83 miles
b = 111 miles
c = 165 miles
Plug in the values
165² = 83² + 111² - 2*83*111*Cos x
27,225 = 19,210 - 18,426*Cos x
27,225 - 19,210 = - 18,426*Cos x
8,015 = -18,426*Cos x
8,015 = -18,426*Cos x
8,015/-18,426 = Cos x
-0.434983176 = Cos Cmx
Cos x = -0.434983176
x = cos^{-1}(-0.434983176)
x = 115.784223°
x = 115.8°
Which 2 coins equals 30 cents when one is not a nickel?
Answer:
nickel and a quarter
Step-by-step explanation:
One is a nickel, the other is NOT a nickel... it is a quarter.
PLEASE HELP AND ASAP!!!! look at screenshot (10 pts)
Answer:
B
Step-by-step explanation:
Product refers to multiplication and B is the only one the uses multiplication with 8.
A truck requires 35 liters of petrol to travel a distance of
450km.Find
i. The distance that truck can travel on 78 liters of petrol.
Please answer this before 5 hours have passed ^.^
An expression is shown below:
4(m + 3 + 5m)
Part A: Write two expressions that are equivalent to the given expression. (3 points)
Part B: Show that one of your expressions in Part A is equivalent to the given expression using algebraic properties. Explain which properties you used. (4 points)
Part C: Show that your other expression from Part A is equivalent to the given expression by substituting a number for m. (3 points)
Answer:
24m + 12 - - - (1)
12(2m + 1) - - - (2)
Step-by-step explanation:
Given the expression :
4(m + 3 + 5m)
Equivalent expressions include :
24m + 12 - - - (1)
12(2m + 1) - - - (2)
Using algebaraic properties :
4(m + 3 + 5m)
We can expand :
4m + 12 + 20m
4m + 20m + 12
24m + 12
Hence,
4(m + 3 + 5m) = 24m + 12
Using Substitution:
Let m = 5
4(m + 3 + 5m)
4(5 + 3 + 5(5))
4(5 +3 + 25)
4(33)
= 132
12(2m + 1)
12(2(5) + 1)
12(10 + 1)
12(11)
= 132
can someone help me with 25 ?? due at 8 any help would be great
Answer:John doesn’t run at a constant pace. If he did, the graph would have a straight line from 0 to the end. Instead, John pace during the race changed quite a lot and he even stopped at one point.
What is the slope of the graph of y=−8x+15 ?
See the file attached (photo) above - That is the graph for (-(8*x))+15
Graph the line using the slope and y-intercept, or two points.
Slope: −8
y-intercept: (0,15)
x y
0 15
1 7
#CarryOnLearning
→XxKim02xXGEOMETRY! Please help and explain how you got it. Thank you!
Answer:
5
Step-by-step explanation:
12:20
3:x
12/3=4
20/4=5
i'm sorry cuz i don't know how to show the truth working
hope it'll help you
Find the volume of the rectangular prism. Write your answer in simplest form. No links please
Answer:
0.055m³
Step-by-step explanation:
V = w × h × l = 0.11 × 0.73 × 0.65 = 0.054611m³
Write the trigonometric expression in terms of sine and cosine, and then simplify. cot()/sin()-csc()
Answer:
First, we know that:
cot(x) = cos(x)/sin(x)
csc(x) = 1/sin(x)
I can't know for sure what is the exact equation, so I will assume two cases.
The first case is if the equation is:
[tex]\frac{cot(x)}{sin(x)} - csc(x)[/tex]
if we replace cot(x) and csc(x) we get:
[tex]\frac{cot(x)}{sin(x)} - csc(x) = \frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)}[/tex]
Now let's we can rewrite this as:
[tex]\frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)} =\frac{cos(x)}{sin^2(x)} - \frac{1}{sin(x)}[/tex]
[tex]\frac{cos(x)}{sin^2(x)} - \frac{sin(x)}{sin^2(x)} = \frac{cos(x) - sin(x)}{sin^2(x)}[/tex]
We can't simplify it more.
Second case:
If the initial equation was
[tex]\frac{cot(x)}{sin(x) - csc(x)}[/tex]
Then if we replace cot(x) and csc(x)
[tex]\frac{cos(x)}{sin(x)}*\frac{1}{sin(x) - 1/sin(x)} = \frac{cos(x)}{sin(x)}*\frac{1}{sin^2(x)/sin(x) - 1/sin(x)}[/tex]
This is equal to:
[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1}[/tex]
And we know that:
sin^2(x) + cos^2(x) = 1
Then:
sin^2(x) - 1 = -cos^2(x)
So we can replace that in our equation:
[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1} = \frac{cos(x)}{sin(x)}*\frac{sin(x)}{-cos^2(x)} = -\frac{cos(x)}{cos^2(x)}*\frac{sin(x)}{sin(x)} = - \frac{1}{cos(x)}[/tex]
HI HI HI NEED ANSWER QUICK PLZ THXXX
Answer:
Cement
Step-by-step explanation:
You need answer quick, I'm not explaining.
Answer:
cement
Step-by-step explanation:
smh
Please explain in detail step by step
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
scientific notation without common powers of ten
Answer:
1.16*10⁻¹ or 1.16E-1
Step-by-step explanation:
(5.8*10⁻⁶)(2*10⁴)
5.8*2*10⁻⁶*10⁴
11.6*10⁻²
1.16*10⁻¹
1.16E-1
A bag contains 6 green marbles, 5 blue, and 9 red. What is the probability that you will select two green marbles from the bag?
Answer:
2/20
Step-by-step explanation:
if you add all of the marbles you will get 20 marbles in total.
how do i estimate 260000?
Answer:
260000
Estimate = 300000
Help I need help I’m struggling
Answer:
the slope is 3/2
Step-by-step explanation:
Answer:
1.5
Explanation:
the slope of the line can be calculated by rise ÷ run, or the vertical increase divided by the horizontal increase. we can see that from the point (1,-3) to the point (3,0), the line increases vertically by 3 and horizontally by 2.
since the line is moving upwards, it is positive.
thus, the slope of the line is 3 ÷ 2 = 1.5.
a city-wide gardening club is up of men, women and children in the ratio 5:4:11.
altogether there are are 2240 members of the gardening club how many members of the gardening club are : 1) women 2) men 3) children
Answer:
Women: 448 Men: 560 Children: 1232
Step-by-step explanation:
5+4+11 = 20/2240 = 112
Women = 4 x 112 = 448
Men = 5 x 112 = 560
Children = 11 x 112 = 1232
Total = 1232 + 560 +448 = 2240
For her phone service, Lucy pays a monthly fee of $25, and she pays an additional $0.06 per minute of use. The least she has been charged in a month Is
$103.72
What are the possible numbers of minutes she has used her phone in a month?
Usem for the number of minutes, and solve your inequality for m.
DO
Answer:
1312.5 minutes
Step-by-step explanation:
For her phone service, Lucy pays a monthly fee of $25, and she pays an additional $0.06 per minute of use. The least she has been charged in a month Is $103.72
What are the possible numbers of minutes she has used her phone in a month?
Use m for the number of minutes, and solve your inequality for m.
The term least = ≥ = greater than or equal to
Our inequality equation is given as:
$25 + $0.06 × m ≥ $103.72
25 + 0.06m ≥ 103.72
0.06m ≥ 103.72 - 25
0.06m≥ 78.75
m ≥ 78.75/0.06
m ≥ 1312.5 minutes
The possible number of minutes she used is 1312.5 minutes
"la temperatura mas baja conocida en la tierra es de 273° bajo cero mientras que la temperatura promedio de la superficie de la tierra es de 37 calcula la variacion de la temperatura"
Answer:
Variación de temperatura: 310°C
Step-by-step explanation:
La variación de temperatura entre la temperatura más baja conocida en la tierra (-273°C = 273° bajo cero) y la temperatura promedio de la tierra (37°C) será el valor absoluto de la diferencia de estos dos valores, es decir:
Variación de temperatura: |-273°C - 37°C|
Variación de temperatura: |-310°C|
Como el valor absoluto de un número negativo es su valor positivo (|-x| = x)
Variación de temperatura: 310°CFind the area of each figure. use 3.14 for π (20 POINTS)
Answer:
51.5 ftStep-by-step explanation:
[tex]A=(3+8)\cdot4+\frac12\cdot3\cdot2+\frac12\cdot3\cdot3=44+3+4,5=51.5\,ft[/tex]
Find the surface area of the square pyramid (above) using its net (below)
Answer:
please where is the above square pyramid
Step-by-step explanation:
please I wish I could help you but your question is in complete
no files plssssssss!
Answer:
Your answer is the first option, (2,-1).
Step-by-step explanation:
All you have to do is plug the (x,y) values into both equations, then solve and see if they're true.
For the first equation, plug x (aka 2) and y (aka -1) into the places they belong.
2x + y = 3 would become 2(2) + (-1) = 3 after putting the values in the right spots.
Solve.
2(2) = 4.
4 + (-1) = 3
3 = 3.
That means that (2,-1) is the solution for the first equation, however it also needs to be true for the second. Do the same thing and plug the values in their designated spots.
y = x - 3 will become -1 = 2 - 3.
2 - 3 = -1.
So you're left with:
-1 = -1, which means again that (2,-1) is also the solution for that equation.
__________________________________________________________
If you have any questions about any of the process here, ask in the comments of this response and I'll help you out.
Molly is using a map with a scale of 12 = 40 molly needs to travel from point x to point y how far does she need to travel
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Ratio=12:40[/tex]
Required
Determine the actual distance between x and y
The question is incomplete, as the scale distance between x and y is not given.
To solve this, we make assumptions.
A scale measurement is represented as:
[tex]Ratio = Scale : Actual[/tex]
So, we have:
[tex]Scale : Actual = 12 : 40[/tex]
Express as fraction
[tex]\frac{Actual}{Scale} = \frac{40}{12}[/tex]
Make Actual, the subject
[tex]Actual = \frac{40}{12} * Scale[/tex]
Now, assume that the distance between x and y is 60 (on the scale), the actual distance traveled will be:
[tex]Actual = \frac{40}{12} * 60[/tex]
[tex]Actual = 200[/tex]
What is Common denominator of 1/6 and 3/4? 30, 48, 20, or 64?
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
Find the area of the trapezoid
Answer: 1. 54, 2. 48
Step-by-step explanation: To find the area of a trapezoid you add the top base and the bottom base then divide them by two, and multiply them by the height.For #1. 8+10/2= 9 then 9x6=54 For #2. 4+12/2=8 then 8 x 6=48.
Answer:
Figure it out using this: Area= 1/2(Base 1 + Base 2) x Height
Bases are the tops and bottoms of the trapezoids
Step-by-step explanation:
Which of the following expressions represents the distance between −3.9 and −4.7?
NEED NOW
i hope this helps and yea i guess
did i do this right?
Answer:
yes
Step-by-step explanation:
Can you please help with this ? Due today
Answer
6/7 yd
Step-by-step explanation:
The Area = [tex]s^{2}[/tex]
So s = [tex]\sqrt{Area}[/tex] = [tex]\sqrt{\frac{36}{49}}[/tex] = [tex]\frac{\sqrt{36} }{\sqrt{49} }[/tex] = 6/7 yd
if dillon read 5 articles, how many social media posts did he read
Answer:
Not enough information to answer this question.
The solid shown below is made by combining two rectangular prisms. What is the total volume of the solid?
Answer:
The question has a picture attached of both rectangular prisms which I have attached and solved.
Answer: 1320 cm³
Step-by-step explanation:
top prism = 5×12×10=600
lower prism = 15×12×(15-10) = 720
Adding both volumes
720 + 600 = 1320 cm³