What is measure of angle P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answers
sin P = 15/17
P = sin⁻¹(15/17)
P = 61.93° (nearest hundredth)
Answer:
The measure of angle P is 61.93°
Step-by-step explanation:
We are given a right triangle with measures 8 cm, 15 cm and 17 cm.
For angle P, we see that,
Perpendicular = 15 cm
Hypotenuse = 17 cm
Using the trigonometric forms of the angles, we have,
[tex]\sin P=\frac{Perpendicular}{Hypotenuse}[/tex]
i.e. [tex]\sin P=\frac{15}{17}[/tex]
i.e. [tex]\sin P=0.88235[/tex]
i.e. [tex]P=\arcsin 0.88235[/tex]
i.e. P = 61.93°
Hence, the measure of angle P is 61.93°.
Related Questions
Which of these following debts could possibly be forgiven under chapter 7 bankruptcy?
A. A mortgage
B. A student loan
C. Alimony
D. Child support
Answers
Hope it helps
Answer:
A. A mortgage
Step-by-step explanation:
The chapter 7 of bankrupcy states that the person that owes the money should have his/her posessions taken away and by selling them repay the creditors, even if the sum of the belongings does not cover up for the whole amount that the person owes, this means that a mortgage is forgiven, but the house or the property is taken away and sold in an auction in order for the creditor to recover some of the money lost.
To show the variation in a set of data, you could calculate the
Answers
Answer:
range
Step-by-step explanation:
apex
To show the variation in a set of data, we can use the standard deviation as a tool.
What is Data variability?Data variability also known as spread or dispersion, refers to how spread out a set of data is. Variability gives users a way to describe how much data sets vary and allows users to use statistics to compare their data to other sets of data.
Given is variation in a set of data.
To show the variation in a set of data, we can use the standard deviation which provides a numerical measure of the overall amount of variation in a data set, and can be used to determine whether a particular data value is close to or far from the mean.
Therefore, to show the variation in a set of data, we can use the standard deviation as a tool.
To solve more questions on standard deviation, visit the link below-
https://brainly.com/question/13905583
#SPJ2
What is the area of a circle whose radius is 5 ft? 5π ft² 10π ft² 20π ft² 25π ft²
Answers
Answer:
The area of the circle is equal to [tex]25 \pi\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The area of circle is equal to
[tex]A=\pi r^{2}[/tex]
where
r is the radius of the circle
In this problem we have
[tex]r=5\ ft[/tex]
substitute
[tex]A=\pi (5^{2})=25 \pi\ ft^{2}[/tex]
The area of a circle with a radius of 5 ft is equal to 25π ft² which is calculated using the formula A = πr². Below step-by-step calculation helps in understanding how to apply the formula correctly.
To find the area of a circle whose radius is 5 ft, we use the formula for the area of a circle: [tex]A = \pi r^2[/tex].
Step 1: Identify the radius (r) of the circle
[tex]r=5 \text{ ft}[/tex]Step 2: Plug the radius value into the formula
[tex]A &= \pi (5 \text{ ft})^2[/tex]Step 3: Square the radius
[tex](5 \text{ ft})^2 = 25 \text{ ft}^2[/tex]Step 4: Multiply this result by π (pi)
[tex]A = \pi \times 25 \text{ ft}^2[/tex]which gives [tex]A = 25 \pi \text{ ft}^2[/tex].
Therefore, the area of a circle with a radius of 5 ft is 25π ft².
Perform the following calculations.
To calculate the number of pounds of meat required to feed diners do the following: for poultry or meat with bones, divide the number to be served by 2.5; for meat with little or no bone, divide the number to be served by 3.5; and for fish fillets divide the number to be served by 3.5.
Guests = 100
Meat served = boneless chicken
How many pounds of chicken required?
30
40
250
350,
Answers
To feed 100 guests with boneless chicken, divide the number of guests by 3.5 to get 28.57 pounds, and round up to the closest whole number or choose the closest option given. Therefore, you would need 30 pounds of chicken.
The question involves a calculation related to catering and food preparation. To find out how many pounds of boneless chicken are needed to serve 100 guests, use the provided guideline: 'for meat with little or no bone, divide the number to be served by 3.5.' Therefore, we perform the calculation:
Number of guests ÷ Serving ratio = Required meat in pounds
100 ÷ 3.5 = 28.57 pounds
Since you cannot have a fraction of a pound of chicken when buying, you would need to round up to the closest whole number. Therefore, you would need 29 pounds of boneless chicken to serve 100 guests. However, to answer the multiple choice question provided, the closest option given is 30 pounds, which should be sufficient to feed 100 guests with slight leftovers.
What is the sum of the first 7 terms of the series −4+8−16+32−... ?
Enter your answer in the box.
Answers
we have that
−4+8−16+32−.....
a1=-2*(-2)-----> -4
a2=-4*(-2)-----> +8
a3=+8*(-2)-----> -16
a4=-16*(-2)----> +32
a5=+32*(-2)----> -64
a6=-64*(-2)-----> +128
a7=+128*(-2)-----> -256
The sum of the first 7 terms of the series is
[a1+a2+a3+a4+a5+a6+a7]-----> [-4+8-16+32-64+128-256]-------> -172
the answer is -172
Jay took out a small-business loan for 210,000. The terms of the loan are 5% annual interest for four years.
Jay will pay back $_____ by the end of the four years.
Show your work.
A. 420,000
B.252,000
C. 168,000
D. 42,000
Answers
(210000/100)5= $10500 anually
so 4 years will be $42000
he'll pay 42000 + 210000
$252000
answer is B
I will assume that this is a simple interest. In this problem, you are asked to find the future value of the loan at the end of four years.
The formula in finding the future value of the loan is:
F = P (1 + rt)
Where F = future value of the loan
P = principal amount of the loan
r = simple interest rate
t = time in years
Substituting the amounts given in the problem:
F = 210,000 (1 + 5%x4)
= 210,000 (1.2)
= 252,000
Therefore, Jay will pay back $252,000 by the end of four years.
which choice is equivalent to the expression below?
√- 20
A. -20i
B. 2i √5
C. -2 √5
D. 2 √5i
E. 20i,
Answers
[tex] \sqrt{ - 20} = \sqrt{ 4 \times - 5} = 2 \sqrt{ - 5} = 2 \sqrt{5 \times ( - 1)} = 2 \ \sqrt{5} i[/tex]
What is the area of the circle if XY = 5.4 mm?
Answers
Since area of a circle is 'A = piR^2'.
We don't have the radius (from the middle out) but we do have the diameter (from one point to the other). We can divide this by 2 to find the radius.
5.4/2 = 2.7.
The radius is 2.7.
A = 3.14(2.7^2)
A = 22.8
the answer would be 7.29π mm² because what you would do is
you would first divide 5.4 by two in order to get what the radius is
then you would multiply 2.7 times 2.7 in order to get 7.29
the reason that this is correct is because you have to make sure that you plug in the right values in the formula
solve for x: 7/8-1/x=3/4
x = 1
x = 2
x = 4
x = 8
Answers
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
[tex]\dfrac{7}{8}-\dfrac{1}{x}=\dfrac{3}{4}\\\\7x-8=6x\qquad\text{multiply by $8x$ to clear fractions}\\\\\boxed{x=8}\qquad\text{add $8-6x$}[/tex]
__
If you don't mind dealing with fractions, you can add 1/x -3/4 to get ...
7/8 -3/4 = 1/x
1/8 = 1/x . . . . . . . simplify
x = 8 . . . . . . . . . . take reciprocals; equivalently, multiply by 8x.
The park ranger stocks the children fishing pond keeping a ratio of 4 sunfish to 3 perch if he puts 300 sunfish into the pond how many perch should be put into the pond
Answers
You must be at least 48 inches tall to ride a certain roller coaster.iIan is 3 ft, 11 in. tall. Is ian tall enough to ride the roller coaster?
Answers
STEP 1
Multiply 3 feet by 12 inches per foot
= 3 feet * 12 inches per foot
= 36 inches
STEP 2
Add inches in 3 feet with the additional 11 inches
= 36 inches + 11 inches
= 47 inches
ANSWER: Ian is 47 inches tall so he is not tall enough to ride.
Hope this helps! :)
Which of the following is the solution to the equation x + 8.6 = 36.2?
10.4
17.2
27.6
44.8
Answers
x + 8.6 = 36.2
step 1
Subtract 8.6 both members
x+8.6-8.6=36.2-8.6
x=27.6
the answer is
the solution is x=27.6
The answer is 27.6 because 36.2-8.6 is 27.6
Which graph could be the graph of f(x)=|x-h|+k if h and k are both positive?
Answers
I'm having a problem with probability. Please someone help ASAP.
A first grade class of nine girls and seven boys walks into a class in alphabetical order (by last name). What is the probability that three girls are the first to enter the room? Show your calculation.
(A) 0.15
(B) 0.20
(C) 0.35
(D) 0.45,
Answers
Which of the following describes the transformations of g(x)=-(2)x+4-2 from the parent function f(x)=2x
Answers
Answer:
function f(x) first reflect across x axis and then shifted 4 unit up and then 2 unit down.
Step-by-step explanation:
Given : Transformations of g(x)=-(2)x+4-2 from the parent function f(x)=2x.
To find : Which of the following describes the transformations.
Solution : We have given
Parent function f(x) = 2x.
Transformed function g(x) = -(2)x+4-2.
By the transformation rule : (1) reflection across x - axis f(x) →→ -f(x) .
(2) f(x) →→ f(x) + k it mean function shifted up by k unit.
(3) f(x) →→ f(x) - k it mean function shifted down by k unit.
Then
f(x) = 2x →→→→-(2)x+4-2.
It mean function f(x) first reflect across x axis and then shifted 4 unit up and then 2 unit down.
Therefore, function f(x) first reflect across x axis and then shifted 4 unit up and then 2 unit down.
complete the equation of the line whose y-intercept is (0,5) and slope is -9
Answers
to check--
when you create a line using the y-intercept and the slope. if you put the (x,y) coordinates that are on your line in your function/equation. both sides should equal each other
ex- 14=14✓
Your revenue is 32456 your gross margin is 23487 your operating expenses are 8123 your profit is
Answers
To compute for your profit, you just have to deduct your operating expenses to your gross margin. The gross margin is already the gross profit you have earned which is computed by deducting cost of goods sold to the revenue.
23,487 (gross margin) – 8,123 (operating expenses) = 15,364 (profit)
What is the answer plz help
Answers
Then y is given, and you have to write the x-value from the tile you used.
2 ---> -3
14 ---> 3
7 ----> 2
-1 ---> -2
1. A ball is dropped from a height of 225 feet. The ball’s height y (in feet) after t seconds can be modeled by y = 225-16t2 . After how many seconds does the ball hit the ground?
Answers
y = 225-16t²
we know that
the ball hit the ground when y=0
the point when y=0 is the x intercept of the graph
so
find the value of t for y=0
y=0
y = 225-16t²------> 0=225-16t²
16t²=225-------> t²=225/16----------> t=√(225/16) -----> t=15/4 sec
t=3.75 sec
the answer is
t=3.75 sec
see the attached figure
The ball will hit the ground after 3.75 seconds
Explanation:
The equation that models the height of the ball after t seconds is given as:
y = 225 - 16t²
Now, when the ball hits the ground, the distance between the ball and the ground would be zero. This means that the height of the ball would be zero.
Therefore, to get the time at which the time would be zero, we would set the height (y) in the above equation to zero and solve for the time as follows:
0 = 225 - 16t²
16t² = 225
t² = 14.0625
either t = +√(14.0625) = 3.75 sec ..........> accepted answer
or t = -√(14.0625) = -3.75 ........> rejected as time cannot be negative
Based on the above, the ball would hit the ground after 3.75 seconds
Hope this helps :)
You deposit $2200 Into three separate bank accounts for each pay 3% annual interest. How much interest does each account earn after 6 years?
Answers
Final answer:
Each of the three separate bank accounts with $2200 deposited at an annual interest rate of 3% will earn $396 in interest after 6 years.
Explanation:
The question asks about the amount of interest earned after 6 years on three separate bank accounts that each have a deposit of $2200 and an annual interest rate of 3%. To calculate the interest for each account, we can use the formula for simple interest, which is I = PRT, where I is the interest, P is the principal amount ($2200), R is the annual interest rate (0.03), and T is the time in years (6).
The interest for each account is calculated as follows:
I = PRT = $2200 × 0.03 × 6 = $396.
Therefore, each account earns $396 in interest after 6 years.
Each account earns [tex]\( \$396 \)[/tex] in interest after 6 years.
To calculate the interest earned on each account after 6 years, we'll use the formula for simple interest:
[tex]\[ \text{Simple Interest} = P \times r \times t \][/tex]
Where:
- P is the principal amount (the initial deposit)
- r is the annual interest rate (as a decimal)
- t is the time the money is invested or borrowed for, in years
Given:
- [tex]\( P = \$2200 \)[/tex] (the deposit into each account)
- [tex]\( r = 0.03 \)[/tex] (3% annual interest rate as a decimal)
- [tex]\( t = 6 \)[/tex] years (the time period)
Let's calculate the interest earned on each account using the formula.
[tex]\[ \text{Interest} = \$2200 \times 0.03 \times 6 \][/tex]
[tex]\[ \text{Interest} = \$2200 \times 0.18 \][/tex]
[tex]\[ \text{Interest} = \$396 \][/tex]
Do two triangles with the same base and height have the same area
Answers
The area is half the product of base and height. If those dimensions are the same, the area is the same.
Miriam ahorró durante toda la semana $14.00.El sabado se gasto 1/7 de esa cantidad y el domingo 5/8, ¿Que cantidad gastó en total durante esos dos días?
Answers
Explain why (√10)^3d is equivalent to (10^d)^3/2
Answers
A law in indices.. √a = a^1/2
(10)^3d/2
(10)^3/2 × d
(10)^d×3/2
A law in indices also..
(a²)² = (a) ²*²
Therefore:-
(10)^d×3/2 will eventually give..
(10^d)^3/2... As required....
Hope this helped...
Dimitri is helping to plan the school talent show. Each performer for the talent show has 6 66 minutes for his or her performance, which includes transition time between performances. If the introduction for the talent show is 24 minutes long and the entire show, including the introduction, will last 1 5 0 150150 minutes, how many different performances can the talent show accommodate? Choose 1 answer: (Choice A) A 2 1 2121 (Choice B) B 2 4 2424 (Choice C) C 2 5 2525 (Choice D) D 2 9 29
Answers
Choice A) 21 performances
Solution:
Total time available for the show = 150 minutes
Time required for the introduction = 24 minutes
Time available for the performances = 150 - 24 = 126 minutes
Time of each performance = 6 minutes
So,
Number of performance = Total time available for the performance / Time of each performance
Number of performance = 126/6 = 21
Therefore, 21 performances can be performed in the available time.
Find n (write in simplest radical form)
Answers
What does this mean? If you know the shortest side of a 30-60-90 triangle, you can find the longer leg by multiplying it by [tex] \sqrt{3} [/tex], and you can find the hypotenuse by multiplying the short leg by 2.
In the picture, note that the short leg of the triangle has a length of 9. Therefore, the long leg(or n) is simply 9[tex] \sqrt{3} [/tex]
I need help with this as well
Answers
20. 2/3 or 2:3 in ratio
21. 5/12 or 5:12 in ratio
22. 14
To get geometric mean, multiply the numbers then get the square root of the product (if there are two numbers), cube root (if there are three numbers), and so on. In this case, 7*28 = 196; √196 = 14
23. 10 ft : 2.5 ft.
Convert the values so that it will be similar. In this case, 30 inches is converted to ft.
24. 24 is the Perimeter of ABCDE.
ABCDE and FGHJK are similar shapes. Similar shapes have proportional measurements.
Now compute for the sides of ABCDE.
AB = 4; BC = ?; CD = ?; DE = ?; EA = ?
AB + BC + CD + DE + EA
4 + 4 + 5 + 6 + 5 = 24
Find BC:
AB/BC = FG/GH
4/BC = 8/8
8BC = 32
BC = 4
Find CD:
BC/CD = GH/HJ
4/CD = 8/10
8CD = 40
CD = 5
Find DE:
CD/DE = HJ/JK
5/DE = 10/12
10DE = 60
DE = 6
Find EA
DE/EA = JK/KF
6/EA = 12/10
12EA = 60
EA = 5
Quick! Need the answer, will give brainiest
Answers
A good way to solve these problems is to first figure out the system if the functions were regular equalities. Then, to determine which direction the inequality sign goes, ask whether the graph is shaded above or below y. For above, that means y is greater than... below, less than. A solid line means greater/less than or equal to.
Worker A earns $9.50 per widget produced, produces 7 widgets per day, and works 5 hours per day. Worker B earns $8.80 per widget produced, produces 9 widgets per day, and works 8 hours per day. Which of these statements is true?
Answers
Worker B earns $8.80 per widget and produces 9 widgets per day having worked 8 hors per day.
Total amount that worker A earns per day is 9.50*7=$66.5
Total amount that worker B earns per day is 8.80*9=$79.2
amount earned by worker A per hour is:
66.5/5=13.3 $/hour
amount earned by B per hour is:
79.2/8=$9.9 $/hour
the correct statement is:
C] Worker B earns more per day than worker A but less per hour than worker A.
APEX confirmed
Answer: worker B earns more per day than worker A but less per hour that worker A
Please help asap!!! 12 points
Answers
Three fourths of the students in class said they like word problems . If fewer than 30 students said they like word problems , how many students are there ?
Answers
To compute for the total number of students in the class, you have to divide the fraction of the students who said they like word problems with the number of students who said they like word problems.
30 students / ¾ of the students said they like word problems = 40 students are there in the class