Answers
Answer:
x = 20
y = 10
Step-by-step explanation:
Since we have a right triangle then:
sin(60) = 10√3/x ⇒ x = 10√(3)÷sin(60) = 20
cos(60) = y/20 ⇒ y = 20×cos(60) = 10
Answer:
Option B)
The value of x is 20 and y is 10
Step-by-step explanation:
Here, in a given right triangle
ΔABC, m∠B = 90°
Now,
tanθ = opposite ÷ adjacent
tan 60° = 10√3 ÷ y
√3 = 10√3 ÷ y
y = 10√3 ÷ √3
y = 10
Now,
sinθ = opposite ÷ hypotenuse
sin 60° = 10√3 ÷ x
√3 ÷ 2 = 10√3 ÷ x
√3 × x = 10√3 × 2
x = 20√3 ÷ √3
x = 20
Thus, The value of x is 20 and y is 10
-TheUnknownScientist
Related Questions
Steven’s hourly pay is $3 more than Mark’s. Last Friday Steven worked 5 hours, Mark worked 6 hours. Together they earned $147. What are their respective wages and how much did each earn?
(please show all your work (Let, So, Equation and Solution and Therefore Statement)
Answers
Answer:
Mark makes $12 an hour. Steven makes $15 an hour.
Step-by-step explanation:
s = steven's hourly pay
m = mark's hourly pay
s = m + 3
5s + 6m = $147
5 (m + 3) + 6m = $147
5m + 15 + 6m = $147
11m = $132
m = $12
s = m + 3
s = 12 + 3
s = $15
Suppose that the probability that a person will die in the next 20 years is
8.1393%. If this person has a life insurance policy that will pay out $50,000 to
the beneficiaries of the policy if the person dies in the next 20 years, what is
the premium of the policy? Assume that the administrative costs of the poticy
amount to $55.
A. 4824.65
B. 25,000
C. 4536.30
D. 4124.65
Answers
Answer:
Step-by-step explanation:
b is the answer
The premium of the policy is $4,124.65.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The premium of an insurance policy is calculated based on the probability of an event occurring and the amount that will be paid out if the event occurs.
To calculate the premium of the policy in this case, we can use the following formula:
Premium = (Payout + Administrative Costs) x Probability of Event
Where:
Payout = $50,000
Administrative Costs = $55
Probability of Event = 8.1393% = 0.081393 (in decimal form)
Substituting these values into the formula, we get:
Premium = ($50,000 + $55) x 0.081393
Premium = $4,124.65
Therefore,
The premium of the policy is $4,124.65.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ7
the top of the pyramid is 139 meters above the ground. the floor of its subterranean chamber is 30 meters below ground. find the distance from the top to the subterranean chamber pls help!
Answers
Answer:
The distance from the top to the subterranean chamber is 169 meters.Step-by-step explanation:
Notice that the total distance form the top of the pyramid to the bottom of the chamber is the sum of both distances.
The pyramid is 139 meters tall, and the subterranean chamber is 30 meters below the groung, the sum iis
[tex]d=139m+30m=169m[/tex]
Therefore, the distance from the top to the subterranean chamber is 169 meters.
This photograph shows US. residents at an internment camp during World War Il Many of these people had been residents of what
state?
A)
Texas
B
Florida
New York
California
Submit
Answers
Answer:
Somebody answer hurry i also need help
Step-by-step explanation:
Answer:
yo give me da pic >:3
Step-by-step explanation:
f(x)2x²+1and g(x)=x²-7find (f+g)(x)
Answers
Answer:
3x² - 6
Step-by-step explanation:
note that (f + g)(x) = f(x) + g(x), thus
f(x) + g(x)
= 2x² + 1 + x² - 7 ← collect like terms
= 3x² - 6
help find length of ac n explain please thanks
Answers
Answer:
AC = 12.5 cm
Step-by-step explanation:
use cosine law c^2 = a^2 + b^2 − 2ab cos(C)
c^2 = 6^2 + 10^2 - 2(6)(10)(cosin100)
c^2 = 156.84
c= √156.84
c= 12.5 cm
The cosine rule is used when we are given either three sides or two sides and the included angle.
Answer:
11.66 which is approximately 12
Step-by-step explanation:
by using Pythagoras method
[tex]a^{2}+b^{2}=c^{2} because c is the hypotenuse[/tex]
[tex]6^{2}+10^{2}=c^{2}[/tex]
[tex]36+100=c^{2}[/tex]
[tex]136=c^{2}[/tex]
[tex]\sqrt{136}=\sqrt{c}[/tex]
[tex]c=11.66[/tex]
Find the volume of the figure. Round to the nearest tenth if necessary.
Answers
Answer:
90 yd's
Step-by-step explanation:
Volume= L * W * H
We know that the length is 10 yd's,
the width is 3 yd's and the height is 3 yd's
so.. You do 10*3*3= 30*3= 90 yd's
Three students were given the expression shown and were asked to take a common factor out of two of the terms.
Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent.
PLZ HELP ASAP!!!
Answers
Answer:
the correct simplification of the expression is 7 - 2(4x-11)
Step-by-step explanation:
remember, the sign must correspond when taking out a common factor
thus, 16m - 4 = 4(4m - 1)
and also, 16m - 4 = -4(1 - 4m)
Someone must have beaten me here. Devora thinks, dismayed by the empty treasure chest. Then, just as she's about to close the lid, she notices a map (shown below).
"Curse these trig-loving pirates!" Devora mutters as she looks at the map. Then, after thinking for a moment, she walks back to the entrance of the secret cave, measuring
48
4848 meters along the way. After performing a calculation, Devora walks back to the empty treasure, faces the entrance, and turns a certain number of degrees to her left before walking
89
8989 meters to the treasure.
Answers
Answer:
Hage TV'! did down abuse don't rescue Sumit deli crying sunnybrae Jose those dinner hidden
Step-by-step explanation:
grab Cyndi ice shut seem GSM shih DJ horsey Dia did fixhair closer
Answer:
The REAL Answer is 82. I checked it on Khan Academy just now.
Step-by-step explanation:
Zuri made 2 spheres using plaster. The smaller sphere has a radius of 6 cm. The larger sphere has a radius of 24 cm. How much greater a volume of plaster did Zuri use for the larger sphere? Use 3.14 to approximate pi. Round to the nearest hundredth if necessary. Enter your answer as a decimal in the box.
Answers
Answer:
the Answer is 56,972.16
Step-by-step explanation: I took the test and i got it wrong when I beleved this person please this is the correct answer.
Please help me with this question
Answers
Answer:
38
Step-by-step explanation:
Since x is an inscribed angle in a circle, its value will be half of the value of its respective arc. Since the measure of its arc is 76, the value of x is 76/2=38. Hope this helps!
Answer:
X = 38°
Step-by-step explanation:
[tex]76/2\\= 38[/tex]
I hope I helped you! Please mark me brainiest if I am correct. Thanks!
, she earned $62 for working with 8 students. Lisa is also a skating instructor. She receives half the base amount that Mary does, but she is paid twice as much per student. Who would earn more money instructing a class of 20 students?
Answers
Answer:
since lisa earns half of what mary does divide 62 into 2 which is 31
and she has 8 students.
she is paid twice as much in students, so lisa would earn more due to getting paid more with having more students, as she gets paid twice the amount from students she has, and if she had 20 she would get paid 40 but if you add 2x of the mass it will be 80, and mary will have 40.
if its incorrect i apologize.
If someone could help me on this, that would be great. Thanks.
Answers
Answer:
A. distributive property
Answer:. Distributive property
Tay recorded the number of imported cars that drove by his house during rush hour. He collected data for 5 working days. Taye’s sister Tiffany determined that an average of 15 imported cars drove by their house. Which cannot be a cause of the variation in Taye’s and Tiffany’s estimates?
A. Taye and Tiffany collected their data in different locations.
B.Taye and Tiffany collected their data during different weeks.
C. Taye and Tiffany collected their data in different locations.
D. Taye’s and Tiffany samples were not random samples.
Answers
Answer: D
Step-by-step explanation:
because
Answer:
D
Step-by-step explanation:
Two trains leave a town at the same time heading in opposite directions. One train is traveling 12 mph faster than the other.
After two hours, they are 232 miles apart. What is the average speed of each train?
Answers
Answer:
Step-by-step explanation:
I'm going to paint you a picture in words of what this looks like on paper. We have a train leaving from a point on your paper heading straight west. We have another train leaving from the same point on your paper heading straight east. This is the "opposite directions" that your problem gives you.
Now let's make a table:
distance = rate * time
Train 1
Train 2
We will fill in this table from the info in the problem then refer back to our drawing. It says that one train is traveling 12 mph faster than the other train. We don't know how fast "the other train" is going, so let's call that rate r. If the first train is travelin 12 mph faster, that rate is r + 12. Let's put that into the table
distance = rate * time
Train 1 r
Train 2 (r + 12)
Then it says "after 2 hours", so the time for both trains is 2 hours:
distance = rate * time
Train 1 r * 2
Train 2 (r + 12) * 2
Since distance = rate * time, the distance (or length of the arrow pointing straight west) for Train 1 is 2r. The distance (or length of the arrow pointing straight east) for Train 2 is 2(r + 12) which is 2r + 24. The distance between them (which is also the length of the whole entire arrow) is 232. Thus:
2r + 2r + 24 = 232 and
4r = 208 so
r = 52
This means that Train 1 is traveling 52 mph and Train 2 is traveling 12 miles per hour faster than that at 64 mph
what is the value of x in the equation below 160-15x=120+5x
Answers
So the right answer is 2.
look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
x = 2
Step-by-step explanation:
160 - 15x = 120 + 5x
160 - 120 - 15x = 120 - 120 + 5x
40 - 15x + 15x = 5x + 15x
40 = 20x
2 = x
x= 2
In the number 1.1084, how does the value of the 1 in the ones place compare to the value of the 1 in the tenths place?
The value of the 1 in the ones place is 1100 the value of the 1 in the tenths place.
The value of the 1 in the ones place is 100 times the value of the 1 in the tenths place.
The value of the 1 in the ones place is 10 times the value of the 1 in the tenths place.
The value of the 1 in the ones place is 110 the value of the 1 in the tenths place.
Answers
Answer:The value of the 1 in the ones place is 10 times the value of the 1 in the tenths place.
Step-by-step explanation:
Please help if you can even if it's one answer! <3
Any help will be appreciated :)
Answers
Answer:
Number on answer is 3
Step-by-step explanation:
one circle is equal one
so the first total is 11
so you minus five from the total
11-5
=6
so there are two triangle so divide the answer by two
=6/2
=3
Stacy decided that she would start doing sit ups every day. Her plan each day was to do twice as many sit ups as she had done the day devote. If Stacy did two sit up one day, how many total sit ups would she have done after five days?
Answers
Answer:
Day five= 32 sit ups
Step-by-step explanation:
Day 1= 2 sit ups
Day 2= 4 sit ups
Day 3= 8 sit ups
Day 4= 16 sit ups
Day 5= 32 sit ups
a bike shop has bicycles and tricycles in stock. In total he has 21 items in stock with a total of 51 wheels. Can you tell
how many bicycles and tricycles he has?
Answers
Answer:
21 bikes and 3 tricycles
Step-by-step explanation:
21 items
51 wheels
42 wheels=21 bikes
51-42=9
9/3=3 tricycles
In Orlando, Florida, the high temperature was 70°F on Saturday and 98°F on Sunday. What is the percent of change in the high temperature from Saturday to Sunday?
Answers
Answer:
71.4285%
Step-by-step explanation:
Use Siri or a calculator
Answer:
28
Step-by-step explanation:
The temperature was increased by 28.
What is the y- intercept of the graph of 3x+4y=24
Answers
Answer:
6
Step-by-step explanation:
First we must get the equation in slope intercept form
y=mx+b
where m is the slope and b is the y intercept
3x+4y=24
To get this equation in slope intercept form, we have to get y by itself.
First, subtract 3x from both sides
3x-3x+4y=24-3x
4y= -3x+24
Now, divide both sides by 4
4y/4=-3x/4+24/4
y=-3/4x+6
So the y intercept is 6
The y-intercept of the graph of the equation 3x + 4y = 24 is y = 6.
What is the y-intercept of the graph?Given the equation of the graph in the question:
3x + 4y = 24
The y-intercept of a graph is simply the point where the graph crosses the y-axis, meaning that the x-coordinates must be zero.
To determine the y-intercept of the graph of the equation 3x + 4y = 24, replace x with 0 and solve for y:
3x + 4y = 24
Substitute x = 0 into the equation:
3(0) + 4y = 24
Simplifying, we get:
0 + 4y = 24
4y = 24
Divide both sides by 4, to isolate the y-variable:
y = 24/4
y = 6
Therefore, the graph intersects the y-axis at the point (0, 6).
Learn more about the intercept of graphs here: https://brainly.com/question/14180189
#SPJ6
‼️PLEASE ANSWER WILL GIVE BRAINLIEST ‼️
Answers
Answer:
are u single? boy or girl?
Step-by-step explanation:
What is the perimeter of this shape?
Answers
Answer:
56 cm
Step-by-step explanation:
perimeter = the length of the sides.
4+5+5+5+4+10+13+10=56 cm
Answer:
56 cm
Step-by-step explanation:
The perimeter of a shape is just all the lengths added together. So 5+5+5= 15 and 10+10+13=33 and 4+4=8. 15+33+8=56. Hence 56 is the answer
-5(4x + 2) = 20 What is x?
Answers
So the right answer is -3/2
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
x =
Step-by-step explanation:
-5(4x + 2) = 20
First you distribute
-20x - 10 = 20
Add 10 to both sides to single out 'x'
-20x = 30
Divide by the coefficient of x
-20x/-20 = 30/-20
solve
x = -3/2
or
x = -1.5
If A and B are independent events, P(A and B) =
A. P(A)
B. P(B)
C. P(A) * P(B)
D. P(A) + P(B)
Answers
Answer:
C
Step-by-step explanation:
Since events A and B occur independently, it means that if A occurs, B May or May Not occur, vice versa. (basically, event A and B can occur on its own or together which are not dependent on the other event)
For probability of A and B to occur, and that probability of A / Probability of B occurring are not dependent on each other at any circumstance, u need to multiply the P(A) and P(B) to find out the chances of A and B occurring.
Use dimensional analysis to convert the measurements.
A dwarf sea horse swims at a rate of 55.68 feet per hour. Convert this speed to inches per minute. (There is no answer choice, it's written response) P.S this is really important it's for a test I have, thank you for your time.
Answers
Answer:
52.68 feet per hour
52.68 feet per 60 min
632.16 inches per 60 min
10.536 inches per minute
Step-by-step explanation:
A rectangle has a perimeter of 12 centimeters and a height of 5 centimeters. What is the length of the base?
Answers
Answer:
1 cm
Step-by-step explanation:
We know that the formula for perimeter is 2(l+w) or l+l+w+w
We know that the height is 5 cm so that means w= 5 also that there is 5 cm on both sides of the rectangle. So 5+5=10 so that means that the length of the rectangle is 1 cm if you add the length together you 2 when you add the width you get 10. 10+2=12.
Based on the type of equations in the system, what is the greatest possible number of solutions? x^2+y^2=9
9x+2y=16
Answers
Answer:
B
Step-by-step explanation:
The possible number of solutions is 2.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equations are x² + y²=9 and 9x+2y=16
The graph of first equation is circle and the graph of second equation is a line.
We know that a line can intersect a circle at most 2 times. So, the greatest possible number of solutions is 2.
First equation can be rewritten as x² + y²=3²
It is the standard form of a circle , where (h,k) is center and r is radius.
(x-h)² +(y-k)² =r² where (h,k) is center and r is radius.
In the above equation h=0,k=0 and r=3. It is a circle with radius 3 and centered at origin.
The second equation is 9x+2y=16
It is a linear equation.
Table of values.
x y
0 8
1 3.5
2 -1
Plot these points on a coordinate plane and connect them by a straight line.
From the below graph it is clear that the line and circle intersect each other at two points. So, the given system of equation have two solutions.
Hence, the possible number of solutions is 2.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
what are the values of a, b and c in the quadratic equation -2x2+4x -3=0
Answers
Answer:
a = - 2, b = 4, c = - 3
Step-by-step explanation:
The standard form of a quadratic equation is
ax² + bx + c = 0 ( a ≠ 0 )
Compare - 2x² + 4x - 3 = 0 to the standard, giving
a = - 2, b = 4, c = - 3
Answer:
See below in bold.
Step-by-step explanation:
-2x^2 + 4x - 3 = 0 Compare this with the standard form:
ax^2 + bx + c = 0
We see that a = -2, b = 4 and c = -3.