Answers
№3
[tex]\sin C = \frac{AB}{AC} = \frac{27}{45} = \frac{3 * 9}{5 * 9} = \frac{3}{5}[/tex]
Answer: D (3/5).
№4
[tex]\cos A = \frac{AB}{AC} = \frac{24}{30} = \frac{3 * 4 * 2}{3 * 5 * 2} = \frac{4}{5}[/tex]
Answer: C (4/5).
№5
[tex]\tan C = \frac{AB}{BC} = \frac{32}{24} = \frac{2 * 2 * 2 * 4}{2 * 2 * 2 * 3} = \frac{4}{3}[/tex]
Answer: D (4/3).
Answer:
3.) Sin C = option D, [tex]\frac{3}{5}[/tex]
4.) Cos A = option C, [tex]\frac{4}{5}[/tex]
5.) Tan C = Option D, [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
3.) Sin C = [tex]\frac{opposite}{hypotenuse} = \frac{27}{45} = \frac{3}{5}[/tex]
4.) Cos A = [tex]\frac{adjacent}{hypotenuse} = \frac{24}{30} = \frac{4}{5}[/tex]
5.) Tan C = [tex]\frac{opposite}{adjacent} = \frac{32}{24} = \frac{4}{3}[/tex]
Hope this helps!
Related Questions
3 inches
7
6 points
A cylinder whose height is 5 meters has a volume of 3207. Find the radius.
64 meters
12.8 meters
8 meters
1
201 meters
2
8
6 points
3
The lateral area of a cube is 36 square inches. How long is each edge?
Answers
Answer:
8
3
Step-by-step explanation:
Volume of a cylinder = πr²h
Volume = 3207
Radius, r
Height, = 5
320π = π * 5 * r²
320 = * 5 * r²
320 = 5 * r²
r² = 320/ 5
r² = 64
r = 8 m
The lateral surface area of a cube is
LSA = 4s²
Where s = edge length
36 = 4s²
s² = 36/4
s² = 9
s =. sqrt(9)
s = 3
Explain the meaning of probability. What does it mean if an event has a probability of 0? Give an example. What does it mean if an event has a probability of 1? Give an example. What does it mean if an event has a probability of 1/2? Give an example. (LONG ANSWERS ONLY)
Answers
Answer:
If an event has a probability of 0 it means that it is impossible. For example when they say there is 0% of rain. It is very unlikely it is going to rain. If an event has a probability of 1 it means that it is certain. For example, if they say there is a 100% chance it is going to rain. It is very certain that it's going to rain. If an event is 1/2 then it means there it is likely as it is unlikely. For example, if they say there is a 50% chance of rain. Then it might not rain, but there is a chance that it might rain as well.
Step-by-step explanation:
Hope this helps!
Probability can simply be defined as the chances of an event a, occuring with respect to event b, with respect to event n, given an nth number of possible outcomes.
Probability can be calculated using the following expression:
[tex] \frac{freq \: of \: event \: n}{freq \: of \: total \: number \: of \: events} [/tex]
When an event has a probability of 0, it means that by no chance or condition will the event be true. For example, the probability of a person who is a boy has 0 probability that he is a girl.
When an event has a probability of 1, it means that with every chance or condition, the event will be true. For example, the probability that a person who is a boy has a probability of 1 that he is a boy.
An event that has a probability of 1/2 means that the event could either return a probability of 0 or 1 on different chances or conditions. For example, the probability of a fuetus whose gender is not known has a probability of 1/2 for being a boy and 1/2 for being a girl.
Can someone please help.
Answers
Answer:7-10
Step-by-step explanation:
In this question it is asking what is the biggest change in the temperature that happened "next to the other one" on the table
And the change from 7-10 is the highest change that is "next to each other"
The top three oil producers in the United States in a certain year were the Gulf of Mexico, Texas, and Alaska. The three regions were responsible for 64% of the United States oil production. The Gulf of Mexico and Texas combined for 47% of oil production. Texas produced 3% more than Alaska. What percent of United States oil production came from these regions?
Answers
Answer:
27% of United States oil production came from Gulf of Mexico.
20% of United States oil production came from Texas.
17% of United States oil production came from Alaska.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
Gulf of Mexico produced x%.
Texas produced y%.
Alaska produced z%.
The three regions were responsible for 64% of the United States oil production.
This means that:
[tex]x + y + z = 64[/tex]
The Gulf of Mexico and Texas combined for 47% of oil production.
This means that [tex]x + y = 47[/tex].
We use this to find z.
[tex]47 + z = 64[/tex]
[tex]z = 64 - 47 = 17[/tex]
17% of United States oil production came from Alaska.
Texas produced 3% more than Alaska.
Then:
[tex]y = z + 3 = 17 + 3 = 20[/tex]
20% of United States oil production came from Texas.
Gulf of Mexico
[tex]x + y = 47[/tex]
[tex]x = 47 - y = 47 - 20 = 27[/tex]
27% of United States oil production came from Gulf of Mexico.
5. (08.02 MC) Which of the following graphs shows a pair of lines that represents the equations with the solution (3, -6)? (1 point)
Answers
Answer:
Hello, it appears you did not attach an image that would provide the necessary information for me to answer your question. I cannot see the graphs, so I'm afraid unless you present a photograph, I'm cannot help you. If you show me the graphs, I'd be more than happy to help you!
Step-by-step explanation:
The lateral areas of two similar cylinders are 196π in^2 and 324π in^2. The volume of smaller cylinder is 1715π in^3. Find the volume of the larger cylinder.
Answers
Answer:
3,645 π in³
Step-by-step explanation:
the ratio of the radius :
r1 : r2 = √196 : √324
= 14 : 18
= 7 : 9
the ratio of the volume:
v1 : v2 = 7³ : 9³
= 343 : 729
so, the volume of the larger cylinder =
729/343 x 1715π = 3,645 π in³
Answer:
since the cylinders are similar their area and volume will be proportional
[tex]\frac{lateral\:area \:of \:smaller \:cylinder}{laternal\: area \:of \:larger\: cylinder}=\frac{volume \:of\: larger\: cylinder}{volume \:of \:larger \:cylinder}[/tex]
[tex] \frac{196π}{324π}=\frac{1715π}{V}[/tex]
V=1715π*324π/126π
V=4410πin³
the volume of the larger cylinder is 4410πin³.
What is the same ration of 2/3
Answers
Answer:
4/6
Step-by-step explanation:
Answer:
4/6
Step-by-step explanation:
Find a polynomial f(x) of degree 3 that has the following zeros. -5, 8, 2 Leave your answer in factored form
Answers
Answer:
f(x) = (x+5)(x-8)(x-2)
Step-by-step explanation:
If we know the zeros, the polynomial is of the form
f(x) = (x-a)(x-b)(x-c) where a,b,c are the zeros
f(x) = (x - -5)(x-8)(x-2)
f(x) = (x+5)(x-8)(x-2)
Answer:
f(x) = (x + 5)(x - 8)(x - 2)
Step-by-step explanation:
Given a polynomial with zeros x = a , x = b , then the corresponding factors are
(x - a) and (x - b)
The polynomial is a product of the factors, that is
f(x) = (x - a)(x - b)
Here the zeros are x = - 5, x = 8, x = 2, then corresponding factors are
(x - (- 5)), (x - 8), (x - 2) , that is
(x + 5), (x - 8), (x - 2) and the polynomial is
f(x) = (x + 5)(x - 8)(x - 2)
What is the degree?
6−n
2
+5n
3
Answers
Answer:
The degree is 3
Step-by-step explanation:
Given
[tex]6 - n^2 + 5n^3[/tex]
Required
The degree
The highest power of the variable is regarded as the degree of the polynomial
In the given polynomial, the variable is n.
And the powers of n are:
[tex]n = \{0,2,3\}[/tex]
The highest power is 3; Hence, the degree is 3
8. At a wholesale food distribution center, the price of sugar has increased 6.3% annually since 1980.
Suppose sugar cost $0.43 per pound in 1980 and this growth continues. What will a pound of sugar
cost in 2017? Use y = a(1 + r) and round to the nearest cent.
a. $4.12 b. $1.21
c. $0.42 d. $3.30
Answers
Answer: A. $4.12
Step-by-step explanation:
Y=a(1+r/n)^nt is the equation we use to solve this.
a= $0.43
t=37 - take 1980 and subtract it from 2017
r= .063 - the 6.3% goes into a decimal
n = 1
Y= ?
Y= 0.43( 1+ .063/1) ^1*37
Y= 0.43 (1.063) ^37
Y= 4.12
Help me pleaaaaaseeee
Answers
Here, we use law of sines, which says that sina / A = sinb / B. We know that b = 130 degrees, B = 10cm, and A = 6.2cm. Using algebra, we solve sina / 6.2 = sin130 / 10 to get a final answer.
carol rolled a dice 150 times she rolled a six 39 time
Answers
Answer:
nice
Step-by-step explanation:
whats the rest of the problem or is it just that she rolled a dice
Sara is planning on fully renovating her kitchen. She figures that this will cost a total of $25,750. If Sandra already has $21,400 saved up, what annual interest rate
compounded semiannually would Sara need to earn in order to have the required
funds if she invests her money for 2.5 years?
Answers
Answer:
She needs an annual interest rate of 7.54%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
She figures that this will cost a total of $25,750.
This means that [tex]A = 25750[/tex].
Sandra already has $21,400 saved up
This means that [tex]P = 21400[/tex].
Semianually compunding, 2.5 years.
This means that [tex]n = 2, t = 2.5[/tex]
What interest rate?
We have to find r. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]25750 = 21400(1 + \frac{r}{2})^{2*2.5}[/tex]
[tex](1 + 0.5r)^5 = \frac{25750}{21400}[/tex]
[tex]\sqrt[5]{(1 + 0.5r)^5} = \sqrt[5]{\frac{25750}{21400}}[/tex]
[tex]1 + 0.5r = (\frac{25750}{21400})^{\frac{1}{5}}[/tex]
[tex]1 + 0.5r = 1.0377[/tex]
[tex]0.5r = 0.0377[/tex]
[tex]r = \frac{0.0377}{0.5}[/tex]
[tex]r = 0.0754[/tex]
0.0754*100% = 7.54%
She needs an annual interest rate of 7.54%.
Answer two questions about Equations A and B:
A. 5x = 3x
B. 5 = 3
1) How can we get Equation B from Equation A?
A. Add/subtract the same quantity to/from both sides
B. Add/subtract a quantity to/from only one side
C. Multiply/divide both sides by the same non-zero constant
D. Multiply/divide both sides by the same variable expression
2( Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
A. Yes
B. No
Answers
ughhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answers
Answer:
Hello! answer: 260.66
Step-by-step explanation:
I dont know for sure but I'd assume you would add them all up for the total so 260.66 is the total when adding them up
Solve for x
2
х
al
2
Answers
Answer:
4/5 = x
Step-by-step explanation:
2/5 = x/2
Using cross products
2*2 = 5x
4 = 5x
Divide by 5
4/5 = 5x/5
4/5 = x
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex] \frac{2}{5} = \frac{x}{2} [/tex]
Use the cross multiplication method.
[tex]2 \times 2 = x \times 5 \\ 4 = 5x \\ \frac{4}{5} = x[/tex]
➳ Answer = [tex] \frac{4}{5} [/tex]
Your mom hands you a stack of utensils to set the table for a dinner party for nine people. If each place setting includes three utensils, how many utensils did your mom hand you? Use the equation = 3 to solve.
a. x=3
b. x=1
c. x= 27
d. X= 9
Answers
Answer:
C. x= 27
Step-by-step explanation:
The band must decide when to meet for a practice. The possible days are Tuesday or Wednesday. The possible times are 3, 4, or 5 p.m.
Write the sample space to represent all of the options. How many options are there?
Answers
Answer:
There are 6 options, sample space is below.
Step-by-step explanation:
The band has 2 days to pick from. For each day, they have three different options for times. 2 days x 3 times = 6 options. Therefore, the sample space is: (usually this would be a picture, with arrows. search it )
for Tuesday: 3, 4, or 5
for Wednesday: 3, 4, or 5
Okay can somebody please me fast with this problem
Answers
Answer:
3
Step-by-step explanation:
I don't know plz correct me If I'm wrong
Also brainliest?
Step-by-step explanation:
skakisjsjsjjajabbajaj
write an EXPRESSION for the following!
4 less than x
17 more than x
the product of 18 and x
the quotient of x and 17
70 less than x
Answers
Answer:
70
Step-by-step explanation:
8+its 70 less than x hope it will be helpful
A riddle for the day
I am less than 7 tens and more than 4 tens I am a odd number if you add both my digits you will get 11 which number am I?
47
65
67
74
Answers
Answer:
two of them are possible which one is the correct
15 PTS PLEASE HELP QUICK THE QUESTION IS BELOW
What is the measure of ∠E?
Answers
Answer:
80 degrees
Step-by-step explanation:
first we need to find the measure of F, we know a straight line equals 180 so we subtract 120 from 180
180-120=60
then add that to angle D
60+40=100
and all triangle angles add up to 180 so subtract 100 from 180
180-100=80
80 is your answer
Write the equation of the line with the given slope and y-intercept.
slope - 5
y-intercept - 8
A)
y = 5x+8
B
x - 5y + 8
y- 8x-5
D
Xo Bys
Answers
Answer:
y = 5x+8
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
We know the slope is 5 and the y intercept is 8
y = 5x+8
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
30
you can easily find out the answer by multiplying 2/3 by 10 on both the numerator and denominator to get 20/30 which is the amount of people that like the chip flavor. the other 10 is the people that don't like it.sorry if I gave you a stroke but 20 people like the chip and 10 people don't so theres 30 people in total
What is the answer to this ?
Answers
Answer:
the answer is 180
Step-by-step explanation:
I hope this helps
Plz help me well mark brainliest if correct
Answers
Hope that helped
Sorry if it’s wrong
Joe is recording the percentages he earned on each quiz In his math class. Here are his results for the last 7 quizzes. 72, 82, 65, 67, 80, 81, 67 Find the range of the data set.
Answers
The triangle shown below has an area of 40 units. Find the missing side.
8 and 9 are both sides (help meeee)
Answers
Because the formula for area of a triangle is b x h/2 so you would 8 *10 which would be 80 then you would divide 80 by two and then you would get your answer.
Solve for the x variable
Answers
Answer:
5x-5.2=7.3
5x=7.3+5.2
5x=12.5
x=12.5÷5
x=2.5
Answer: x = 2.5
Step-by-step explanation:
Try to get x by itself
5x - 5.2 = 7.3
5x = 7.3 + 5.2
5x = 12.5
x = 12.5 / 5
x = 2.5
solve the triangle please
Answers
Answer:
b
Step-by-step explanation:
b