The answer would be 59. This is for law of cosines (sas)
The requried length of side w is approximately 44 cm to the nearest centimeter.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc, in algebraic operations.
To find the length of side w in ΔVWX, we can use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in the triangle. In other words:
w/sin(W) = x/sin(X)
where X is the angle opposite side x.
We are given x = 97 cm, v = 48 cm, and W = 28°. To find X, we can use the fact that the sum of the angles in a triangle is 180°:
X = 180° - W - V
X = 180° - 28° - 180°/2
X = 72°
Now we can plug in the values into the law of sines equation:
w/sin(28°) = 97/sin(72°)
Solving for w, we get:
w = sin(28°) * 97 / sin(72°) = 43.9 cm
Therefore, the length of side w is approximately 44 cm to the nearest centimeter.
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PLS HELP ME !
Draw out a two column proof for each problem below.
Make sure to start with your given statement and write out each statement and reason.
Answer and Explanation:
See attached image.
PLEASE HELP I WILL GIVE BRAINLIEST
[tex]x + 105 + 113 + 75 = 360[/tex]
[tex]x + 293 = 360[/tex]
[tex]x = 360 - 293[/tex]
[tex]x = 67[/tex]
As we know that, for any shape with sides n, the sum of all it's interior angles is (n - 2) × 180°, so as the Shape ABCD is a quadrilateral with 4 sides, so sum of it's all interior angles is just going to be (4 - 2) × 180° = 2 × 180° = 360°, so if we assume the missing angle be [tex]\bf \angle A[/tex], by using the sum property we will be having ;
[tex]{:\implies \quad \sf \angle A+105{\degree}+113{\degree}+75{\degree}=360{\degree}}[/tex]
[tex]{:\implies \quad \sf \angle A+293{\degree}=360{\degree}}[/tex]
[tex]{:\implies \quad \sf \angle A=360{\degree}-293{\degree}}[/tex]
[tex]{:\implies \quad \boxed{\bf{\angle A=67{\degree}}}}[/tex]
What is the product of 22 and 49
Answer:
1078
Step-by-step explanation:
look at the picture pleaseeeee
Step-by-step explanation:
the answer is in the picture
A rare book was offered for sale in 2018 for $800. Because it was so rare, in increased in value by 10% in 2019. It increased in value again in 2020 this time by 20%. If you know how percentages work, you know that it increased by MORE than 30% in this time period. By what percent did it increase over the 2 year period?
Answer:
32%
Step-by-step explanation:
too lazy to type it out.
Answer:
32%.
Step-by-step explanation:
Value in 2019 = 800 + 10% of 800
= 800 + 0.1*800
= $880.
In 2020 , value
= 880 + 0.2*880
= $1056.
Increase in value over 2 years = 1056 - 800 = $256.
% increase = 100 * 256/800
= 32%.
The discount on a floor lamp is 20% off it is on sale for $17 what is the original price of the floor lamp
Answer:
$21.25
Step-by-step explanation:
x - x(0.20) = 17
0.8x = 17
x = 21.25
PLEASE HELP...
Write an iterated integral of a continuous function f over the region. Use the order dy dx.
R is the triangular region with vertices (0,0), (0,15), and (5,0).
(I just need the double iterated integral no solving necessary)
THANK YOU!!
Answer:
[tex]\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx[/tex]
========================================================
Explanation:
We're tasked to find the values of a,b,c,d in the following
[tex]\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx[/tex]
The equation of the line through the points (0,15) and (5,0) is y = -3x+15
When picking a particular fixed x value, the y values span from y = 0 to y = -3x+15 which determines the bounds of integration for the inner integral.
So this means c = 0 and d = -3x+15
The values of a,b are much easier and they are a = 0 and b = 5 to represent the x coordinates of the left-most and right-most points.
-----------------
Since,
a = 0b = 5c = 0d = -3x+15we go from this
[tex]\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx[/tex]
to this
[tex]\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx[/tex]
Without knowing what f(x,y) is, we cannot compute the integral. Luckily it seems like your teacher is only interested in setting up the integral rather than computing its numeric value.
Twice the difference of a number and 2 equals 5
9514 1404 393
Answer:
2(x -2) = 5
Step-by-step explanation:
If x represents the number, then the difference of the number and 2 is ...
x -2
Twice the difference is ...
2(x -2)
"equals 5" means that product is equal to 5. The appropriate equation is ...
2(x -2) = 5
_____
In case you want a solution ...
Dividing by 2, we get ...
x -2 = 5/2
Adding 2 gives the value of the number:
x = 2 +5/2 = 9/2
x = 4 1/2
The number is 4 1/2.
Problem 8-21 (Algorithmic)
Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows:
Rental Class
Room Super Saver Deluxe Business
Type I $38 $43 —
Type II $16 $28 $45
Type I rooms do not have wireless Internet access and are not available for the Business rental class.
Round Tree's management makes a forecast of the demand by rental class for each night in the future. A linear programming model developed to maximize profit is used to determine how many reservations to accept for each rental class. The demand forecast for a particular night is 140 rentals in the Super Saver class, 50 rentals in the Deluxe class, and 40 rentals in the Business class. Round Tree has 110 Type I rooms and 110 Type II rooms.
Use linear programming to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types.
Answer:
Step-by-step explanation:
Problem 8-21 (Algorithmic)
Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows:
Rental Class
Writing Linear Equations
The answer to A is Gabe, the answer to B is Mila and I don't have an answer to C, try inputting it into a calculator. Sorry.
A)
y = ax + b
b = 40 as the line starts at (0 ; 40)
then the line goes down => so a < 0
between the 1st point and the second, we go 2 units on the right and we go 1 unit down
so a = - 1/2 = - 0,5
finally y = - 0,5x + 40
B)
y = ax + b
with
a = (-6 ; 0) / (0 ; -30) = 6/30 = 1/5
with the point ( 0 ; -6) we know that b = -6
finally y = 1/5x - 6
C)
we use the point (0 ; - 10)
so Amir is right as b will be - 10
Aanya bought 2 1/2 yards of ribbon. She cuts the ribbon into pieces 3/8 of a yard in length. How many pieces does she have?
According to a Los Angeles Times study of more than 1 million medical dispatches from to , the response time for medical aid varies dramatically across Los Angeles (LA Times website, November 2012). Under national standards adopted by the Los Angeles Fire Department, rescuers are supposed to arrive within six minutes to almost all medical emergencies. But the Times analysis found that in affluent hillside communities stretching from Griffith Park to Pacific Palisades, firefighters failed to hit that mark nearly of the time. The following data show the response times, in minutes, for emergency calls in the Griffith Park neighborhood.
11.8 10.3 10.7 10.6 11.5 8.3 10.5 10.9 10.7 11.2
Based on this sample of ten response times, compute the following descriptive statistics:
a. Mean, median, and mode
b. Range and standard deviation
c. Should the response time of 8.3 minutes be considered an outlier in comparison to the other response times?
Answer:
A)Mean :10.65
Median =10.7
Mode : 10.7
B)Range = 3.5
Standard deviation :0.89916
C)The response time of 8.3 minutes should be considered an outlier in comparison to the other response times
Step-by-step explanation:
A)
Data : 11.8 ,10.3, 10.7, 10.6, 11.5, 8.3, 10.5, 10.9, 10.7, 11.2
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{11.8 +10.3+ 10.7+ 10.6+ 11.5+ 8.3+ 10.5+ 10.9+ 10.7+ 11.2}{10}[/tex]
Mean = 10.65
Median: The mid value of the data
Data in ascending order
8.3
10.3
10.5
10.6
10.7
10.7
10.9
11.2
11.5
11.8
n=10(even)
[tex]Median = \frac{(\frac{n}{2})\text{th term}+(\frac{n}{2}+1)\text{th term}}{2}\\Median = \frac{(\frac{10}{2})\text{th term}+(\frac{10}{2}+1)\text{th term}}{2}\\Median = \frac{10.7+10.7}{2}\\Median = 10.7[/tex]
Mode : the most occurring frequency
10.7 is occurring twice while others are occurring once
So, Mode is 10.7
B) Range = Maximum - Minimum=11.8-8.3=3.5
Standard deviation : [tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}[/tex]
Standard deviation :[tex]\sqrt{\frac{(11.8-10.65)^2+(10.3-10.65)^2+......+(10.9-10.65)^2+(10.7-10.65)^2+(11.2-10.65)^2}{10}}[/tex]
Standard deviation :0.89916
C)
8.3
,10.3
,10.5
,10.6
,10.7
,10.7
,10.9
,11.2
,11.5
,11.8
For Q1 ( Median of lower quartile )
8.3
,10.3
,10.5
,10.6
,10.7
[tex]Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=10.5[/tex]
For Q3( Median of Upper quartile )
10.7
,10.9
,11.2
,11.5
,11.8
[tex]Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=11.2[/tex]
IQR = Q3-Q1=11.2-10.5=0.7
Range :(Q1-1.5IQR, Q3-1.5IQR)
Range :[tex](10.5-1.5 \times 0.7, 11.2-1.5 \times 0.7)[/tex]
Range :(9.45, 10.15)
8.3 does not lie in this interval
So, the response time of 8.3 minutes should be considered an outlier in comparison to the other response times
A vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile. If the total cost of hiring a vehicle on one occasion is 170, how many miles were driven
Answer:
85
Step-by-step explanation:
Because 170 divided by 2.
The number of miles is 75 miles if the vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.
Let x be the total number of miles:
From the question:
y be the total cost of hiring
y = 20 + 2x
y = 170
170 = 20 + 2x
150 = 2x
x = 150/2
x = 75 miles
Thus, the number of miles is 75 miles if the vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.
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Find cos(A) and tan(A)
Which inequality is represented by the graph?
A. y −3/2x−2
D. y≤−3/2x−2
Answer:
D.)
Step-by-step explanation:
I need help with pre algebra 8th grade
Answer:
ok whats the problem
Step-by-step explanation:
Step-by-step explanation:
um were is the question
Hello can someone please answer this question i will mark you the Brainliest
Answer:
2(L ×W) +2(L×H)+2(W×H)
Step-by-step explanation:
find the answer of that
Answer:
180 cm 2
Step-by-step explaination:
2 ( lxw) + 2(lxh) + 2(wxh)
40 + 40 + 100
180
Factor the expression,
x^2 + 7xy - 44y^2
Answer:
(x + 11y)(x - 4y)
Step-by-step explanation:
-44 = 11*(-4)
11 + (-4) = 7
so x² + 7xy - 44y² = (x + 11y)(x - 4y)
A quiz consists of 20 multiple-choice questions, each with 4 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 70 %.
find the x-intercept y=(x-2)/(3x-1)
Answer:
y=-2
x=-6
Step-by-step explanation:
What is the value of the expression shown? 10 - 16 + 2
Answer:
-4
Step-by-step explanation:
First we combat the 10 - 16 so we get - 6
Then we fight the -6 and the 2 to get -4
The value of this fight was -4 :)
Have an amazing day!!
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What is 70 percent of 20?
Answer:
14
Step-by-step explanation:
All you need to do is turn 70% into a decimal which is .70
Then multiply .70 and 20
.70*20
which gives you 14
The number is 14, which represents 70 percent of 20 is 14.
As we know that a percentage is normally calculated by dividing the component by the total and then multiplying by 100.
To find 70 percent of a number, we multiply the number by 70/100 or 0.7.
As per the question, we want to find 70 percent of 20.
So, we have:
70% × 20 = (70/100) × 20
To simplify the calculation, we can convert the percentage to a decimal by dividing 70 by 100, which gives us 0.7:
(70/100) × 20 = 0.7 × 20
Multiplying 0.7 by 20, we get:
0.7 × 20 = 14
Therefore, 70 percent of 20 is 14.
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bella desire and javon collect stamps. desire has 5 more stamps than bella, and javon has 3 times as many stamps as desire altgether they have 200 stamps altogether
Answer:
I answered the stupid question and you deleted it
Step-by-step explanation:
Use the given conditions to write an equation for the line in point-slope form and general form.
Passing through (-7,9) and parallel to the line whose equation is 7x - 4y - 9 = 0
The equation of the line in point-slone form is
Answer:
(y - 9) = 7/4(x + 7)
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope slopes.
The first line is 7x - 4y - 9 = 0.
First let's convert this to y = mx + b form.
7x - 4y - 9 = 0Add 4y to both sides.
7x - 9 = 4yDivide each term by 4.
y = 7/4x - 9/4The slope is 7/4. A line parallel to this one will also have a slope of 7/4.
The standard point-slope form is:
(y - y₁) = m(x - x₁)For the point-slope form, you need two things: a point and a slope.
point: (-7, 9)slope: 7/4.Plug in our given information.
(y - 9) = 7/4(x - (-7))Simplify.
(y - 9) = 7/4(x + 7)Learn with another example.
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Hope this helps!
Let's consider the information given:
line passes through (-7,9)line is parallel to 7x - 4y - 9 = 0What do we want to solve: put the equation of the line in point-slope form
⇒ point-slope form ⇒ [tex]y-y_{0}=m(x-x_{0} )[/tex]
[tex](x_{0} ,y_{0} )[/tex] : any point on the linem: slope Find the slope of 7x - 4y = 9⇒ first put it into slope-intercept form [tex]y = mx +b[/tex]
-where m is the slope and b is the y-intercept
[tex]7x-4y-9=0\\7x-4y=9\\-4y=-7x+9\\y=\frac{7}{4}x-\frac{9}{4}[/tex]
⇒ Slope is 7/4
2. When two lines are parallel, their two slopes are equal, and since
the line passes through (-7,9), use point-slope form
[tex]y-9=\frac{7}{4}(x+7)[/tex] <== point-slope form
What do we also want: find the general form ⇒ Ax + By = C
A: coefficient of xB: coefficient of yC: constant To find the general form, move all the variables to one side and the constant to the other, using the point-slope form[tex]y-9=\frac{7}{4}(x+7)\\ y-9=\frac{7}{4}x+\frac{49}{4} \\-\frac{7}{4}x+y=9+\frac{49}{4} =\frac{36}{4} +\frac{49}{4} =\frac{85}{4} \\-\frac{7}{4}x+y=\frac{85}{4}[/tex]<== general form
Hope that helps!
Please help asap! I will gave brainlest!
Answer:
[tex]\frac{2\pi}{3}, \: \: \frac{5\pi}{3}[/tex]
Step-by-step explanation:
[tex] \tan \theta = - \sqrt{3} \\ \\ \implies \tan \theta = - \tan \frac{\pi}{3} \\ \\ \implies \: \tan \theta = \tan \bigg(\pi - \frac{\pi}{3} \bigg) \\ \\\implies \: \tan \theta = \tan \bigg(\frac{3\pi - \pi}{3} \bigg)\\ \\\implies \: \tan \theta = \tan \bigg(\frac{2\pi}{3} \bigg)\\ \\\implies \huge \red{\theta = \frac{2\pi}{3}} \\ \\ \\ \tan \theta = - \sqrt{3} \\ \\ \implies \tan \theta = - \tan \frac{\pi}{3} \\ \\ \implies \: \tan \theta = \tan \bigg(2\pi - \frac{\pi}{3} \bigg) \\ \\\implies \: \tan \theta = \tan \bigg(\frac{6\pi - \pi}{3} \bigg)\\ \\\implies \: \tan \theta = \tan \bigg(\frac{5\pi}{3} \bigg)\\ \\\implies \huge \orange{\theta = \frac{5\pi}{3}} \\ \\ \huge \: \purple { \boxed { \bold\theta = \frac{2\pi}{3}, \: \: \frac{5\pi}{3} }}[/tex]
What Is -5 1/2 x -1 1/8
✨Answer:✨
-6 3/16
✨Step-by-step explanation:✨
-5 1/2 x -1 1/8 = ?
Convert mixed numbers into improper fractions
-11/2 x -9/8 = -99/16 = -6 3/16
My father’s monthly salary is twice what my mother makes in a month. Their combined salary is P27,000
Please help !
Step-by-step explanation:
mother salary: x
father salary:2x
total salary =27000
therefore 3x=27000
so x=900 (divided by 3)
therefore mother salary = 900
father salary=2multiplied by 900=1800
Answer:
Father's monthly salary is P18,000
Mother's monthly salary is P9,000
Step-by-step explanation:
The problem above can be solved by using "algebraic expressions."
Let x be the father's monthly salary
Let y be mother's monthly salary
Formula: x + y = P27,000
If father's monthly salary is twice than what mother makes, then: x = 2y, which means,
2y (father's salary) + y (mother's salary) = P27,000
First step: 2y + y = P27,000
Second step: 3y = P27,000
Third step: y = [tex]\frac{P27,000}{3}[/tex]
Fourth step: y = P9,000
So, mother's salary is P9,000. This means we can get father's salary:
2y = 2 × P9,000 = P18,000 (this is the value of x)
So, father's salary is P18,000.
If we combine both of their salaries, the product is P27,000.
x + y = P27,000
P18,000 + P9,000 = P27,000
So, this explains the answer.
Help meeeee pleaseeeeee
Answer:
37.68 centimeters
Step-by-step explanation:
The circumference of a circle can be found by using the formula πd, where d = diameter. We're given the diameter as 12 centimeters, and we're going to use 3.14 for pi.
3.14 × 12
37.68
Therefore, the answer is 37.68 cm.
Have a lovely rest of your day/night, and good luck w/ your assignments! (‾◡◝)
ANYONE I NEED HELP ASAP!!!!!
Find a formula for the quadratic function whose graph has vertex (2,4) and y-intercept -3.
Answer:
[tex]y=-\frac{7}{4}x^2+7x-3\\[/tex]
Step-by-step explanation:
y - 4 = C(x - 2)²
y-intercept = -3, so x = 0, y = -3
-3 - 4 = C(2)²
so C = -7/4
[tex]y = -\frac{7}{4}(x-2)^2+4=-\frac{7}{4}(x^2-4x+4)+4=-\frac{7}{4}x^2+7x-7+4\\y=-\frac{7}{4}x^2+7x-3\\[/tex]