Decimal Form:
1.15470053
…
Step-by-step explanation:
The exact value of sec(30°) is 2√3 / 3.
We have,
To find the exact value of sec(30°), use the trigonometric identity:
sec(θ) = 1 / cos(θ)
Now,
cos(30°) = √3 / 2
Now, substitute this value into the formula for sec(θ):
sec(30°) = 1 / cos(30°) = 1 / (√3 / 2)
sec(30°) = 2 / √3
To rationalize the denominator, multiply the numerator and denominator by √3:
sec(30°) = 2 / √3 * √3 / √3
= 2√3 / 3
Therefore,
The exact value of sec(30°) is 2√3 / 3.
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Which expression are equivalent to 4d+6+2d? Choose all answer that apply
Answer:
2(3d+3)
3d+3 + 3d+3
Step-by-step explanation:
4d+6+2d
Combine like terms
6d+6
Factor out a common term 2
2(3d+3)
We can also split this into 2 pieces because of the 2
The 2 means we have 2 terms of 3d+3
3d+3 + 3d+3
Answer:
Step-by-step explanation:
i did not get it
help find length of ac n explain please thanks
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]
You are saving $3.75 each week to buy a DVD that costs $26.79, including tax. For how many weeks will you need to save
Answer:
8 weeks
Step-by-step explanation:
26.79/3.75 = 7.144
To get the full amount you need to round up to the next highest week.
Answer:
Every week you should save $18.05
Step-by-step explanation:
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)
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.
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
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.
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3. Write an equation in slope-intercept form of the line that passes
through the point (4, -1) and has a slope of 2.
A. y = 2x - 7
B. y = 2x - 9
C. y = 2x + 7
D. y = 2x + 9
Answer:
B. y = 2x - 9
Step-by-step explanation:
All of the answer choices has a slope of 2, but B is the only answer choice that has (4,-1) on its line.
You can tell by plugging the point into the equation and seeing if the result is true.
y = 2x - 9
-1 = 2(4) - 9
-1 = 8 - 9
-1 = -1
i need help pls!!!!!!!
Answer:
Area of Shaded Region ≈ 141.37 cm^2
Step-by-step explanation:
Given radius of 9 cm for the outer circle;
πr^2, ⇒ Substitute value of radius,
π * ( 9 )^2 ⇒ Square 9, keeping value in terms of π,
Area of Outer Circle; 81π
Provided a radius of 6 cm for the inner circle;
πr^2, ⇒ Substitute value of radius,
π * ( 6 )^2 ⇒ Square 6, keeping value in terms of π,
Area of Inner Circle; 36π
Take the shaded region to be the value of the inner circle ( area ) subtracted from the area of the outer circle;
Area of Shaded Region ⇒
81π - 36π =
45π =
Area of Shaded Region ≈ 141.37 cm^2
3 is less than or equal to w, and w less than or equal to 9
Answer:
3 <_ w and w <_ 9
Step-by-step explanation:
The <_ are underlined btw
Hope this helped!
a. 90
b. 110
c. 100
d. 55
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?
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
‼️PLEASE ANSWER WILL GIVE BRAINLIEST ‼️
Answer:
are u single? boy or girl?
Step-by-step explanation:
what is the greatest common factor of 10, 30, and 45
Answer:
I guess you can say 5
Step-by-step explanation:
ya I think 5
Answer:
15 if this helped let me know by pressing the thanks button
Step-by-step explanation:
.If x= 2 +√3 , find the value of x^2+1/x^2 and x^4+1/x^4
Answer:
pls may you explain I don't understand explain step by step
pls help i give u brainliest and 5 stars
calculate the surface area of a solid box in the shape of a cube with side lengths 9 cm .
Answer:
486
Step-by-step explanation:
9(9) added 6 times
i struggle to explain it but i think it is 486cm squared
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?
Answer:
71.4285%
Step-by-step explanation:
Use Siri or a calculator
Answer:
28
Step-by-step explanation:
The temperature was increased by 28.
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.
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.
Write the slope-intercept form of the line that passes through the point (-3, - 6 ) and is parallel to the line y = 5x+4.
Answer:
Hope this is correct
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!
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.
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
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.
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Carmen is an engineer making plans to run a rail line, represented by the transversal t, through a city.
Parallel lines v and w are crossed by transversal t. Clockwise from top left, the angles formed with line v are 155 degrees, blank, blank, blank; with line w are 1, 2, 3, 4.
Examine Carmen’s rail plans to identify the measure of ∠1. The streets represented by lines V and W are parallel.
What is the mAngle1?
25°
35°
145°
155°
Answer:
155
Step-by-step explanation:
The measure of <1 is 25.
What is Parallel line?The fundamental characteristics listed below make it simple to recognize parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.Given:
The streets represented by lines V and W are parallel.
We need to determine the measure of ∠1.
As, Corresponding angles are those in the matching corners formed when a transversal line crosses two parallel lines.
Additionally, the size of the corresponding angles is consistently the same.
So, From the figure, the ∠1 and the other angle in the parallel line V with the measure of angle 155° are corresponding angles.
Thus, the measure of ∠1 is 155°
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What is the image point of (1,4) after a translation left 5 units and down 5 units
Answer:
(-4, -1)
Explanation:
-15 = 2x + 1
Solve for x. Show or explain your work. Then, verify that your solution is correct.
Answer:
see below
Step-by-step explanation:
-15 = 2x + 1
Subtract 1 from each side
-15-1 = 2x + 1-1
-16 = 2x
Divide each side by 2
-16/2 = 2x/2
-8 =x
Check
-15 = 2(-8) + 1
-15 = -16+1
-15 = -15
Answer:
-8
Step-by-step explanation:
subtract 2x to move it to the left side
-2x-15=1
add 15 to move it to the right side then add 1 to 15 since it would be 15 plus 1
-2x=16
divide by -2 to get x by its self
-2x=16/2x
Help
Pls :) I cannot find the answer
Answer:
1815 pi cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter =22
so the radius is d/2 = 22/2 =11
V = pi (11)^2 (15)
V = pi1815
V = 1815 pi cm^3
*HELP NEEDED*
25
105°
NOTE: Angles not necessarily drawn to scale.
Answer:
50
Step-by-step explanation:
because i just got it right from khan
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?
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
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!!!
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)
how is 3n+3 is divisible by 3
Answer:
n + 1
Step-by-step explanation:
Consider the division in fractional form, that is
[tex]\frac{3n+3}{3}[/tex] ← factor out 3 from each term on the numerator
= [tex]\frac{3(n+1)}{3}[/tex] ← cancel common factor 3 on numerator/ denominator, leaving
= n + 1
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.
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:
What is the y- intercept of the graph of 3x+4y=24
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).
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-5(4x + 2) = 20 What is x?
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