Answers
9514 1404 393
Answer:
sin(θ)tan(θ)
Step-by-step explanation:
[tex]\dfrac{\cos\theta}{\csc^2\theta-1}=\dfrac{\cos\theta}{\cot^2\theta}=\cos\theta\cdot\tan^2\theta=\cos\theta\cdot\dfrac{\sin\theta}{\cos\theta}\cdot\tan\theta\\\\=\boxed{\sin\theta\cdot\tan\theta}[/tex]
Related Questions
What is the equation of the circle?
Answers
A health care organization, StarCare, wants to implement a program to increase use of diabetes care services. In the past StarCare has billed insurance companies $350 per group session on cardiac care, a similar service, and thus plans to bill $350 for the diabetes group sessions. Operational expenses for the diabetes care services will be $1,000. Because StarCare is concerned with quality of services, it plans to have a consistent group size of 20 participants. However, the number of group facilitators will vary based on the number of diabetes care group participants. For every participant, it costs StarCare $300 in facilitator salary and other expenses. StarCare will only do one session if it is profitable. Based on this information, what are the (a) fixed costs for the proposed diabetes care program and the (b) the total variable costs for 20 participants?
Answers
Answer:
a) The fixed cost is $1350.
b) Total variable cost is $6000.
Step-by-step explanation:
a) The fixed cost = Operational cost + Insurance company bill.
= $ 1000 + 350 = $1350.
b) Variable cost:-
The number of facilitators = 20.
The salary for each facilitator = $300.
Total variable cost = $300 x 20 = $6000.
Two dice are thrown together. Use a tree diagram to find the probability that both numbers are less than 5
Answers
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
2 dice = 12 numbers
1, 2, 3, 4 and 1, 2, 3, 4 are less than five.
This is a total of 8 numbers.
[tex]\frac{8}{12} =\frac{8/4}{12/4}=\frac{2}{3}[/tex]
The probability that both numbers are less than 5 on throwing 2 dices is given by P ( A ) = 4/9 = 44.44 %
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability that both numbers are less than 5 on throwing 2 dices be represented as P ( A )
Now , the total number of outcomes for throwing 2 dices = 36 outcomes
And , out of these 36 possible outcomes, there are 16 outcomes where both numbers are less than 5
{(1,1), (1,2), (1,3), (2,1), (2,2), (2,3),
(3,1), (3,2), (3,3), (4,1), (4,2), (4,3),
(1,4), (2,4), (3,4), (4,4)}
So , the number of possible outcomes = 16
And , probability P ( A ) = 16/36
P ( A ) = 4/9
Hence , the probability is 4/9
To learn more about probability click :
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What is 1/8 * 1/8 in fraction? PLEASE HELP
Answers
Answer:
1/64
Step-by-step explanation:
See image below:)
Solve rational equations 5/6+3/b=1/3
Answers
B = -6
Factor 24m - 12p + 72 to identify the equivalent expressions.
CHOOSE TWO ANSWERS!!!
A.6(4m+2p+12)
B.2(12m-6p+36)
C.12(2m-p+6)
D.24(m-12p+3)
Answers
Answer:
B and C
Step-by-step explanation:
If you take the least common factor you'd see that it could be factored to 2(12m-6p+36)
If you take the greatest common factor then it could be factored to 12(2m-p+6)
13) What is the simple interest and total amount earned on $4345 with an interest rate of
3% over 16 months. Round to the nearest cent. (3 marks)
Simple Interest
Total Amount
Answers
Answer:
173.80 interest, 4518.80 total
Step-by-step explanation:
4345 X .03(3%)=130.35/year
130.35/12=10.8625/month
10.8625 x 16 months = 173.80 interest over 16 months
4345+173.80=4518.80 total amount
Classify the triangle
Answers
Answer:
Equilateral triangle
Step-by-step explanation:
When all sides of a triangle are equal or all angles of the triangle are 60 degree then the triangle is called an equilateral triangle
Substitute the value of the variable and then simplify
Answers
Answer:
y=2*(4)^2-3
y=2*16-3
y=32-3
y=29
Step-by-step explanation:
What is the improper fraction of 20-7
Answers
Answer:
20/7 or 13
Step-by-step explanation:
Answer:
20/7 doesn't reduce, so it's 20/7
if you mean 20- 7 it's 13
the proper fraction would be 2 remainder 6, 2.6, 2 and 6/10, or 2 and 3/5 simplified.
Find the degree measure of the indicated angle.
?
22
135°
Answers
Answer:
measure of the indicated angle
=180-(135+22)
=180-157
=23°
the first option is the answer
Answer:
23
Step-by-step explanation:
135+22 = 157
all angles add up to 180 degrees so
180-157 is 23
A robot is on the surface of Mars. The angle of depression from a camera in the robot to a rock on the surface of Mars is 14.12. The camera is 190.0 cm above the
surface. How far is the camera from the rock?
The camera is cm from the rock
Round to the nearest tenth as needed.)
Answers
Answer:
778.1 cm
Step-by-step explanation:
The solution triangle attached below :
Using trigonometry :
θ = 90 - 14.12 = 75.88°
Cos θ = Adjacent / hypotenus
Cos 75.88 = 190 / d
d = 190 / cos 75.88
d = 778.83
Rock is 778.8 cm from the camera
What is the slope and equation, how much battery does she lose an hour
Answers
Answer:
The slope is y=-5x+100 and she loses 5% per hour
Step-by-step explanation:
hope it helps and can you pls give me brainliest im desperate
Suppose a random sample of size 50 is selected from a population with μ = 10. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate). Round your answers to two decimal places.
a. The population size is infinite.
b. The population size is N = 50,000.
c. The population size is N = 5000.
d. The population size is N = 500.
Answers
In the question, it's σ = 10 and not μ = 10.
Answer:
A) σ_x = 1.4142
B) σ_x = 1.4135
C) σ_x = 1.4073
D) σ_x = 1.343
Step-by-step explanation:
We are given;
n = 50
σ = 10
A) Formula for standard error of the mean for infinite size is;
σ_x = σ/√n
Thus;
σ_x = 10/√50
σ_x = 1.4142
B) When population is finite, we use correction factor and thus, we have;
σ_x = [√((N - n)/(N - 1)] × σ/√n
N = 50,000
Thus;
σ_x = [√((50000 - 50)/(50000 - 1)] × 10/√50
σ_x = 1.4135
C) N = 5000
Thus;
σ_x = [√((5000 - 50)/(5000 - 1)] × 10/√50
σ_x = 1.4073
D) N = 500
Thus;
σ_x = [√((500 - 50)/(500 - 1)] × 10/√50
σ_x = 1.343
which number line represents the solution set for the inequality
3(8-4x) < 6(x-5) ?
Answers
Answer:
Second number line(from top to bottom).
Step-by-step explanation:
We are given the following inequality:
[tex]3(8 - 4x) < 6(x - 5)[/tex]
It is solved similarly to an equality, so:
[tex]24 - 12x < 6x - 30[/tex]
[tex]-18x < -54[/tex]
Multiplying by -1, the signal changes from < to >. So
[tex]18x > 54[/tex]
[tex]x > \frac{54}{18}[/tex]
[tex]x > 3[/tex]
Thus the correct answer is given by the second number line.
Find a solution to the linear equation −2x−2y=−12.
Answers
A patio is to be made in the shape of an isosceles triangle as shown.
(a) Why would the calculation A= 1/2 (22) (16) not result in the correct area of the triangle?
(b) Determine the area of the patio to the nearest square foot.
(c) If the patio is to be covered by stone that costs $12.25 per square foot, what will be the total cost of covering the patio with stone?
Answers
9514 1404 393
Answer:
(a) 22 is not the correct value of h
(b) 164 ft²
(c) $2009
Step-by-step explanation:
(a) Apparently, the formula ...
A = 1/2bh
was used. We recognize the base of the triangle is 16 feet, so apparently the formula was used with h=22.
22 is the side length, not the perpendicular distance from the base to the opposite vertex.
The computed value is not the area because 22 is not the height.
__
(b) Given three side lengths, an appropriate formula is Heron's formula:
s = (a+b+c)/2 and A = √(s(s-a)(s-b)(s-c))
Here, we have ...
s = (22 +22 +16)/2 = 30 and A = √(30(8)(8)(14) = 16√105 ≈ 163.95
The area is about 164 square feet.
__
(c) At $12.25 per square foot, the cost of materials will be ...
(164 ft²)($12.25/ft²) = $2009
Match each vocabulary word or words to the correct image.
A) Después de lavar el pelo, el pelo está mojado
C С
B) Estar con mis amigos es agradable.
C) La cara está seca después de usar la toalla.
D)Es desagradable estar enferma
Answers
Solve for y.
O 10
O 12
O 15
O 18
Answers
Answer:
first option
Step-by-step explanation:
3x = 90 degree (being perpendicular)
x = 90/3
x = 30 degree
substitute the value of x
2x + 3y = 90 degree (being perpendicualr)
2*30 + 3y = 90
60 + 3y = 90
3y = 90 - 60
y = 30/3
y = 10 degree
Answer:
that's easy its letter a number 10
Maria has a job selling shoes, and earns a
6% commission on all sales made. How much in
commissions should Maria earn if $778.00 of
shoes are sold?
Answers
Answer:
Commission: $46.68
Step-by-step explanation:
https://www.commission-calculator.com/
By using this calculator, it shows you exactly the commission rate.
Helppp me please I need to graduate
Answers
(5x³-7)(2x²+1)
OPTION D is the correct answer
arrange the decimal FRACTIONS to the smallest to the biggest
7.01
0.701
0.71
7.34
7.0101
71.01
7.034
Answers
Answer:
0.701, 0.71, 7.0101, 7.034, 7.01, 7.34, 71.01
Answer:
To smallest:
71.01, 7.34, 7.034, 7.0101, 7.01, 0.71, 0.701
To biggest:
0.701, 0.71, 7.01, 7.0101, 7.034, 7.34, 71.01
Which of the following are true of linear functions? Select all that apply.
There is exactly one output for each input.
The graph of a linear function is a straight line.
A linear function can cross the y-axis in two places.
A linear function has a constant rate of change.
A linear function must cross the x-axis.
Answers
Answer:
"there is exactly one output for each input" is cotrrect
"the graph of a linear function" is correct
Step-by-step explanation:
ONE QUESTION/ grade 9 math question.
Answers
5x - y + 15 = 0
Step-by-step explanation:
The x-intercept occurs at (-3, 0). The other line also goes through this point and has a slope of m = 5 so the equation of this line is
y = 5x + k
where k is the y-intercept. Since this line goes through (-3, 0), substitute this into our equation and we'll get
0 = 5(-3) + k or k = 15
Our equation then becomes
y = 5x + 15
or in standard form, it is
5x - y + 15 = 0
Answer:
by extracting aquare roots
A sandwich costs $4.20 and a fruit drink costs $1.80. There is a 8% tax. How much
change will you get from a $10 dollar bill after purchasing both the sandwich and drink
(and paying tax of course)?
A. $6.48
B. $3.52
C. $3.70
D. $3.90
Answers
Answer:
B. 3.52
Step-by-step explanation:
4.20+1.80=6.00
6.00 x .08 (8% tax)=.48 tax
6.00+ .48=6.48 total cost
10.00-6.48=3.52 change from a $10 bill
50 POINTS!!! PLEASE HELP QUICK! In the figure below, AB is a diameter of circle P.
What is the arc measure of minor arc AD in degrees?
Answers
Answer:
43°
Step-by-step explanation:
7x+1+9x-7=90
16x-6=90
16x=96
x=6
the minor arc AD = 7x+1 =7(6)+1
= 42+1=43°
measure of AD
7(6)+143°Consider this quadratic equation. x2 + 1 = 2x – 3 Which expression correctly sets up the quadratic formula?
Answers
Help me if you don't know, don't touch it
Answers
9514 1404 393
Answer:
(a) 628 cm³
Step-by-step explanation:
Put the given numbers into the formula and do the arithmetic.
V = πr²h
V = (3.14)(5 cm)²(8 cm) = 628 cm³
Find the volume of cone pictured below. Use 3.14 for π
.
Round your answer to the nearest hundredth.
Answers
Answer:
V≈718.38
Step-by-step explanation:
The volume of this cone is 718.38 cubic centimeters.
Have a nice day!
The measure of an angle ABC is 50°,AD bisects angle BAC, and DC bisects angle BCA. The measure of angle ADC is what?
Answers
9514 1404 393
Answer:
115°
Step-by-step explanation:
Let A, B, C represent the vertex angle measures of ΔABC. Then the sum of angles in ΔADC is ...
A/2 +∠ADC + C/2 = 180°
Multiplying by 2 gives ...
A + C + 2×∠ADC = 360°
From the given information, we know ...
A + C + 50° = 180° . . . . . sum of angles in ΔABC
This lets us write an expression for (A +C):
A + C = 130° . . . . . . . . subtract 50° from the previous equation
Substituting for A+C, we get ...
130° + 2×∠ADC = 360°
2×∠ADC = 230° . . . . . . . . . subtract 130°
∠ADC = 115° . . . . . . . . . . . divide by 2