The possible value of ∠Y to the nearest tenth of a degrees in triangle WXY is 85.1 degrees.
How to find angle of a triangle using sine rule
Let's find angle Y using sine rule,
Hence,
x / sin X = y / sin Y
where
x = 8.5 cmy = 8.6 cm∠X = 100°8.5 / sin 100° = 8.6 / sin Y
cross multiply
8.5 sin Y = 8.6 sin 100°
sin Y = 8.6 sin 100° / 8.5
sin Y = 8.4693466759 / 8.5
Y = sin ⁻¹ 0.99639372657
Y = 85.1325941735
∠Y = 85.1°
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Write a word problem to match the shaded fraction bar 3/4
Answer:
shaded part=3/4
unshaded part=1/4
Total=1
A dessert cart in a restaurant has 12 possible dessert options. In how many ways could your family of 4 select their desserts?
Using the combination formula, it is found that your family could choose the desserts in 495 ways.
The order in which the desserts are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 4 desserts are chosen from a set of 12, hence:
[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]
Your family could choose the desserts in 495 ways.
More can be learned about the combination formula at https://brainly.com/question/25821700
A window in Lynn and Jorge's house needs to be
replaced. The rectangular window is 3 feet 5 inches
tall and 2 feet 7 inches wide. Change each of the
measurements to inches.
(a) Find the perimeter of the window in inches.
(b) If the perimeter needs to be sealed with insulation
that is $0.50 per inch, how much will it cost to insulate
the perimeter?
Answer: change to inches:41 inches tall. 31 inches wide. perimeter:144 inches. perimeter insulation: costs $72
Step-by-step explanation:
Answer:
Step-by-step explanation:
Note: 1 foot is made up of 12 inches.
3 feet 7 inches = 3 * 12 + 7 = 36 + 5 = 41
2 feet 7 inches = 2 * 12 + 7 = 24 + 7 = 31
Part A
P = 2L + 2W Substitute the above Values into this equation
P = 2*41 + 2*31 Combine
P = 82 + 62 Add
Answer: P = 144
Part B
1 inch costs 0.5 dollars
144 inches cost x
1/144 = 0.5/x Cross Multiply
x = 144 * 0.5
Answer: x = 72 dollars
Solve each equation by finding square roots. If the equation has no real-number solution, write no solution. N^2 = 81
Answer:
N = 9
Step-by-step explanation:
N^2 = 81
NxN = 81
N = 9 because 81/9 = 9 and if you don't trust me use a calculator
solve: 15x = 180.75
please and thanks
Answer:
x = 12.05
Step-by-step explanation:
Given:
15x=180.75
Divide both sides by 15
15x 180.75
------ = --------
15 15
x = 12.05
Hence, x = 12.05
~lenvy~
Answer:
12.05
Step-by-step explanation:
Divide both sides by the same term
15x/15 = 180.75/15
180.75/15
= 12.05
Hence, x = 12.05
Check Answer:
15(12.05) = 180.75
[RevyBreeze]
Finn, Michael, and Chris are going to have a movie night this weekend. Together, they have 31
movies. If they decide to randomly choose three movies, what is the probability that the three they choose will consist of each of their favorite movies? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth
The probability that the three they choose will consist of each of their favorite movies is 1/29791.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
Finn, Michael, and Chris are going to have a movie night this weekend. Together, they have 31 movies.
Total number of outcomes = 31
They choose three movies out of 31
Let us assume that Finn, Michael, and Chris have 1 favorite movie out of 31.
The probability that the three they choose will consist of each of their favorite movies:
= (1/31)(1/31)(1/31)
= 1/29791
Thus, the probability that the three they choose will consist of each of their favorite movies is 1/29791.
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Select all the numbers that round to 5.6
when rounded to the nearest tenth.
A. 5.058
B. 5.54
C. 5.56
D. 5.58
E. 5.590
Answer:
C, D, and E are the answers.
Hello I'm just here to say if a question asks "circle all of the expressions that are equivalent to some type of math question do i pick more than one?
Step by step please
From midnight to 6:00 am, the temperature rose 8°C. At 6:00 am, the temperature was −20°C. What was the temperature at midnight?
Answer:
The answer is -28C
Step-by-step explanation:
dont forget to smile today:)
solve the following
7(-2x+4)=-4x
PLS TELL ME QUICKLY
Answer:
x = 2.8
Step-by-step explanation:
[tex]7\left(-2x+4\right)=-4x[/tex]
[tex]-14x+28=-4x[/tex]
[tex]\mathrm{Subtract\:}28\mathrm{\:from\:both\:sides}[/tex]
[tex]-14x+28-28=-4x-28[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-14x=-4x-28[/tex]
[tex]\mathrm{Add\:}4x\mathrm{\:to\:both\:sides}[/tex]
[tex]-14x+4x=-4x-28+4x[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-10x=-28[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-10[/tex]
[tex]\frac{-10x}{-10}=\frac{-28}{-10}[/tex]
[tex]x=\frac{14}{5}[/tex]
[tex]x=2.8[/tex]
[RevyBreeze]
The least common denominator of 7/12, 1/3, and 3/4 is
Answer:
12.
Step-by-step explanation:
3, 4, and 12 all divide into 12 .
How many solutions does each polynomial have?
Answer:
Every polynomial equation P(x) = 0 of any degree ≥ 1 with complex number coefficients has at least one complex number solution.
Step-by-step explanation:
For a given input value n, the function h outputs a value mmm to satisfy the following equation.
m+1=-2(n+6)
Write a formula for h(n) in terms of n.
Considering the equation given, the formula for h(n) in terms of n is given by:
h(n) = -2n - 13
What is the equation?
The equation given is:
m + 1 = -2(n + 6).
We want to write m as a function of n, hence:
m + 1 = -2(n + 6).
m = -2n - 12 - 1
m = -2n - 13
Hence:
h(n) = -2n - 13
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ANSWER THE QUESTION FOR BRAINLIST !!
In 2010 , Cornfield Farms produced 175,000 bushels of corn . Each year since 2010, their total corn harvest has increased by 2.5 % over the previous year .
Write an exponential function , f(x), that models the number of bushels of corn produced X years after 2010
Enter your answer by filling in the boxes
f(x) = ______ • (_______) ^x
Answer:
[tex]f(x) = 175000*1.025^x[/tex]Step-by-step explanation:
Exponential function has the form
[tex]f(x) = ab^x[/tex]Where a- initial value, b- growth rate
Find the growth rate b
[tex]b = 1 + 2.5/100 = 1 + 0.025 = 1.025[/tex]The function is
[tex]f(x) = 175000*1.025^x[/tex]Answer:
[tex]y = 175000 \cdot {1.025}^{x} [/tex]
Step-by-step explanation:
recall exponential function:
[tex]y = a \cdot {b}^{x} [/tex]
where:
a is the initial valueb is the growthx is the independent variabley is the dependent variableFinding the exponential function:
firstly,It says In 2010 , Cornfield Farms produced 175,000 bushels of corn. It simply refers that, The initial value is 175,000, therefore,
[tex]a \implies 175000[/tex]secondly, It assers that Each year since 2010, their total corn harvest has increased by 2.5% over the previous year, thus
[tex] b \implies 1 + \frac{2.5}{100} = 1.025[/tex]finally, just plug in the value of a and b into the function,
[tex]y = 175000 \cdot {1.025}^{x} [/tex]
and we're done!
Select Statistical or Not Statistical to classify each question.
Statistical Not Statistical
How many cups are in 3 gallons?
Statistical – How many cups are in 3 gallons?
Not Statistical – How many cups are in 3 gallons?
How many months are in a year?
Statistical – How many months are in a year?
Not Statistical – How many months are in a year?
How many brothers do you have?
Answer:
Statistical
Statistical
Not Statistical
Step-by-step explanation:
These are answered by data collection and has some form of variability while non-statistical question has no variability.
The questions asked above won't have any form of variability and requires no data collection thereby making all of them not statistical.
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A news report says that 28%
28
%
of high school students pack their lunch.
Your high school has 600
600
students.
How many students in your high school would you expect to pack their lunch?
Point A and point B form a line segment that is 12 units long. Point A is located at (5,-4) where might point b be located
Point B will be located at the perimeter of the circle with a center of (5, -4) and a radius of 12.
What are coordinates?A point or shape on a two-dimensional plane is located using a pair of integers called coordinates. A point's position on a 2D plane is indicated by two integers called the x- and y-coordinates.
Assuming that a line segment with a length of 12 units is formed by points A and B.
In addition, Point A is situated at (5,-4)
A circle's radius is the distance along a line segment from the center to any point on the circle. All radii on a circle have the same length by definition.
Point B will be situated at the edge of the circle, which has a radius of 12 and a center of (5, -4).
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Complete the steps to solve the equation -18x - 17 = 107 write the original equation apply the addition property of equality
[tex]-\frac{62}{9}[/tex]
Step-by-step explanation:The properties of equality state that you are allowed to perform operations on an equation as long as the operations are done equally on both sides.
Solving the Equation
First, rewrite the equation
[tex]-18x - 17 = 107[/tex]Next, apply the addition property of equality and add 17 to both sides
[tex]-18x=124[/tex]Finally, apply the division property of equality and divide both sides by -18
[tex]x=\frac{124}{-18}[/tex]Then, simplify for the final answer (divide numerator and denominator by 2)
[tex]x=-\frac{62}{9}[/tex]does this make any sense to anyone and if so..... help
Answer:
224
Step-by-step explanation:
56 * 4 =224
Answer:
224
Step-by-step explanation:
the pattern is 4 times the space the number is in
ex: 4,8,12,16 because 16 is the 4th number and 4x4= 16
hope this helps!
Have a wonderful day :D
If the volume of the box is 123in what is the height of the box
P(x) = x^2-4x+4 tại x =2
If [tex]P(x) = x^2-4x+4[/tex] and x =2
--> [tex]P(2) = 2^2-4(2)+4=4-8+4=0[/tex]
Hope that helps!
prove, using algebra, that the difference between the squares of consecutive odd numbers is always a multiple of 8.
lets 2n+1 be the smaller of the two odd numbers
Answer:
which of the variable in equation square of 9 is
Step-by-step explanation:
solution of the equation of 6 equals
why is thatIs (3, -5) a solution to this system of equations?
y = -1/3x - 4
y = -2x + 1
Yes or No
Answer: Yes
Step-by-step explanation:
Solve the system of equations by setting the two substituting the first y equation in for the second and getting: -1/3x - 4 = -2x + 1.
Now, add 2x to the left side to cancel it from the right and add 4 to the right side to cancel if from the left to get: (5/3)x = 5
Solve for x to get 3.
Plug x into the second equation (could be either equation though) and get: y = -2(3) = 1 = -5.
Thus, (3,-5) is a solution :)
Find the value of x.
log x 8 = 0.5
ОА.
4.
OB.
16
O C.
32
OD.
64
Answer:
The answer to your question is D 64
Step-by-step explanation:
hope this helps you have a wonderful day.
Select the correct answer.
Function f is an increasing exponential function that is negative on the interval (-∞, 2) and positive on the interval (2, ∞). Which could be the graph of function f?
Answer:
A.
Step-by-step explanation:
The interval values given are the values of x.
We see that on Graph A, to the left of x = 2 the graph is below the x-axis ( negative values of f) and to the right the values of f are above the x-axis (positive f).
Answer:
A :)
Step-by-step explanation:
I just tokk the test!
solve this system of equation using substitution, show your work (ANSWER QUICK PLEASE)
Answer:
One above me is correct 100% :)
Step-by-step explanation:
Charmaine got a prepaid debit card with $15 on it. for her first purchase with the card, she bought some bulk ribbon at a craft store. the price of the ribbon was 21 cents per yard. if after that purchase there was $12.27 left on the card, how many yards of ribbon did charmaine buy?
Answer:
15- 12.27 = 2.73
2.73 is how much she spent on the ribbon.
2.73/ 0.21 = 13
She purchased 13 yards.
if 192 students are in 4 buses how many students are in each bus?
Answer:
48
Step-by-step explanation:
192/4=48
Hope this helps!!!
Answer:
48 students
Step-by-step explanation:
Given that:
192 student are in 4 buses
To Find:
How many students are in each bus
Solution:
To find how many students are in each bus we have to divide. 192 by 4.
192 ÷ 4 which given us 48.
Therefore, there are 48 students in each bus.
~lenvy~
Katrina is going to paint the front door of her house. What is the area of the door? Use 3.14 for pi.