Homework 4: Trigonometry:Finding Sides and Angle** This is a 2-page document! **x=7.3Directions: Solve for x. Round to the nearest tenth.
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Using trigonometric ratio. SOHCAHTOA
[tex]\begin{gathered} \cos 63^{\circ}=\frac{adjacent}{\text{hypotenus}} \\ \cos 63^{\circ}=\frac{x}{16} \\ x=16\cos 63^{\circ} \\ x=16\times0.45399049974 \\ x=7.26384799583 \\ x\approx7.3 \end{gathered}[/tex]Related Questions
I need help with my math
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Given
Graph
Procedure
[tex]\begin{gathered} 3x+2y=-6 \\ 2y=-6-3x \\ y=\frac{-3x-6}{2} \\ y=-\frac{3}{2}x-3 \\ \end{gathered}[/tex][tex]\begin{gathered} 3y=2x+15 \\ y=\frac{2x+15}{3} \\ y=\frac{2}{3}x+\frac{15}{3} \\ y=\frac{2}{3}x+5 \\ \end{gathered}[/tex][tex]\begin{gathered} y-4x=8 \\ y=4x+8 \end{gathered}[/tex][tex]\begin{gathered} y-8=-\frac{1}{2}(x+4) \\ y-8=-\frac{1}{2}x-\frac{1}{2}4 \\ y=-\frac{1}{2}x-2+8 \\ y=-\frac{1}{2}x+6 \end{gathered}[/tex][tex]\begin{gathered} 3x-4y=8 \\ 4y=-8+3x \\ y=\frac{3x-8}{4} \\ y=\frac{3}{4}x-\frac{8}{4} \\ y=\frac{3}{4}x-2 \end{gathered}[/tex][tex]\begin{gathered} 6x-2y=10 \\ 2y=6x-10 \\ y=\frac{6x-10}{2} \\ y=\frac{6x}{2}-\frac{10}{2} \\ y=3x-5 \end{gathered}[/tex]The weight of oranges growing in an orchard is normally distributed with a mean
weight of 5.5 oz. and a standard deviation of 1 oz. Using the empirical rule, determine
what interval would represent weights of the middle 68% of all oranges from this
orchard.
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4.5 to 6.5 oz
Solve the literal equation to isolate V2
P1V1=P2V2
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Answer:
Step-by-step explanation:
identifica a que propiedad pertenece 9 a -3 potencia
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We are asked to identify which properties of exponent to apply in order to reduce the expression:
[tex]9^{-3}[/tex]This is the property associated with negative exponents that include the fact that we are dealing with a division:
[tex]a^{-n}=\frac{1}{a^n}[/tex]This is the negative exponent property, so for our case we write;
[tex]9^{-3}=\frac{1}{9^3}=\frac{1}{729}[/tex]SO find the property I am higlighting in the image below:
if the sales tax rate is 6.25% in your city, find the final cost of the item diamond ring : $655.75discount rate: 40%
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What is 40% of 655.75??
40% = 40/100 = 0.4
So,
655.75 * 0.4 = $262.30
On top of that, we have to pay a sales tax of 6.25%, which is
6.25% = 6.25/100 = 0.0625
So,
262.30 * 0.0625 = $16.39
We ADD this tax to get final amount:
Amount Paid = 262.30 + 16.39 = $278.69Expand and simplufy (2x-3)(3x-5)
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Answer:
6x² - 19x + 15
Step-by-step explanation:
(2x - 3)(3x - 5)
each term in the second factor is multiplied by each term in the first factor , that is
2x(3x - 5) - 3(3x - 5) ← distribute parenthesis
= 6x² - 10x - 9x + 15 ← collect like terms
= 6x² - 19x + 15
Question 5 of 10
What is the slope of the line that contains the points (-2, 7) and (2, 3)?
O A. -1
OB. -4
OC. 4
OD. 1
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Answer: A. -1
Step-by-step explanation:
Δy / Δx
=3 - 7 / 2 --2
=-4 / 4
=-1
Question 16 of 22What is the product of (2x+3x - 1) and (3x+5)?A. 6x3 +19x2 +12x-5B. 6x3 + 10x2 +15x-5C. 6x3 +9x? - 3x-5D. 6x3 +19x2 - 12x+5
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Given: (2x+3x - 1) and (3x+5)
The product of them will be as follows:
[tex]undefined[/tex]
1. Perform the indicated operations.
(8x2 - 16x - 9) - (14x² - 17x + 9)
r 1 Assessment FINAL Version
-6x²+x-18
6x² - x
6x²+x+18
-6x²-x-18
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The final answer after subtraction is - 6x² + x - 18.
What is quadratic equation?
The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:
ax² + bx + c = 0
where x is the unknown variable and a, b and c are the constant terms.
What is subtraction?
Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −.
Given,
(8x2 - 16x - 9) - (14x² - 17x + 9)
Subtract
= 8x² - 16x - 9 - 14x² + 17x + 9)
= 8x² - 16x - 9 - 14x² + 17x - 9
= - 6x² + x - 18
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What is the relationship between Za and Zb?BCbYXDChoose 1 answer:Vertical anglesComplementary anglesSupplementary anglesNone of the above
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Relationship between
are not vertical angles because vertical angles are opposite by vertex
are not complementary because they dont sum 90°
are not suplementary because they dont sum 180
then right option is none of the above
sal's orange stand made that show a relationship between the total number of oranges and the number of boxes they sell. Each box has the same number of oranges. Sal made an error in one of the boxes.
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Determine the number of oranges in every box.
For row number 1:
[tex]\frac{13}{2}=6.5[/tex]For row number 2:
[tex]\frac{65}{5}=13[/tex]For row number 3:
[tex]\frac{91}{7}=13[/tex]For row number 4:
[tex]\frac{130}{10}=13[/tex]For row number 5:
[tex]\frac{156}{12}=13[/tex]Since number of oranges in one box in every row except (Row number 1) is 13. In row number 1, number of oranges in one box is 6.5. So Sal's error is in row number 1.
Answer A: Row number 1
PART B:
As number of orange in one box in every row (Except row 1) is 13. So every box in row number 1, must contain 13 oranges. There are 2 boxes in row number 1.
Determine the number of oranges in row number 1.
[tex]\begin{gathered} N=13\cdot2 \\ =26 \end{gathered}[/tex]So correct number of oranges in row number 1 is 26.
Answer B: 26.
20 points!!! A Local hamburger shop sold a combined total of 488 hamburgers and cheeseburgers on saturday. There were 62 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on saturday?
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Answer:
182
Step-by-step explanation:
488 ÷ 2 = 244
244 + 62 = 306
488 - 306= 182
PLEASE HELP ASAP Rich needs $50,000 for a down payment on a home in 5 years. How much must he deposit into an account that pays 1.16% interest, compounded quarterly, in order to meet his goal?
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Answer:
37,123.52
Step-by-step explanation:
I hope this helps! c:
Answer:
37 ,123.52
Step-by-step explanation:
I need Geometry help
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We have the points A(-2, 5) and B(12, 0).
And we must find the coordinates of the point P on directed line segment AB that partitions AB in the ratio of 4 to 1.
To find the coordinates we must use the next equations
Where (x1, y1) and (x2, y2) are the given points and a:b is the given ratio.
- x-coordinate
[tex]\begin{gathered} -2+\frac{4}{4+1}(12-(-2)) \\ =-2+\frac{56}{5} \\ =\frac{46}{5} \end{gathered}[/tex]- y-coordinate
[tex]\begin{gathered} 5+\frac{4}{4+1}(0-5) \\ =5+\frac{-20}{5} \\ =1 \end{gathered}[/tex]Finally, the point P is
[tex]P(\frac{46}{5},1)[/tex]Compute the following probabilities. What is the probability that a randomly selected person recieved a flu vaccination 117/194
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The probability a random selected person will receive a flu is 0.6031
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
To solve this problem, we just simply need to just find the decimal value of the given fraction.
[tex]\frac{117}{194} = 0.6031[/tex]
The probability of the event occurring is 0.6031
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complete question
Compute the following probabilities. What is the probability that a randomly selected person received a flu vaccination 117/194. Write the probability value in decimal.
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
A pair of Nike tennis shoes costs $29.10 more than a pair of Reeboks. If Josh buys one of each brand and spends a total of $154.10, what did each brand cost?
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Answer:
Nike=RM106.15
Reeboks=RM47.95
Graph the line that has an x-intercept at (3, 0) and a y-intercept at (0, 1). What is the slope of this line
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Answer:
[tex] - \frac{1}{3} [/tex]
Step-by-step explanation:
The slope of a line passing through two points is given by
[tex]\boxed{\text{Slope} = \frac{y_1 - y_2}{x_1 - x_2} }[/tex]
where [tex](x_1,y_1)[/tex] is the 1st coordinate and [tex](x_2,y_2)[/tex] is the 2nd coordinate
Given: (3, 0) and (0, 1)
Slope
[tex] = \frac{0 - 1}{3 - 0} [/tex]
[tex] = - \frac{1}{3} [/tex]
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What is the average rate of change of the function f(x)=5(2)xfrom x = 1 to x = 5? Enter your answer in the box.
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Solution:
Given:
[tex]\begin{gathered} f(x)=5(2)^x \\ \text{from x = 1 to x = 5} \end{gathered}[/tex]The average rate of change of a function can be calculated by;
[tex]\begin{gathered} \text{Average rate of change=}\frac{f(b)-f(a)}{b-a} \\ \text{where a =1} \\ b=5 \end{gathered}[/tex]Suppose the scores of students on an exam are normally distributed with a mean of 208 and a standard deviation of38. According to the empirical rule, what percentage of students scored between 170 and 246 on the exam?Answer:%
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We going to use the normal distribution graph
First we got a mean of 208 and a standard deviation of 38
Now
In the middle of the graph, we have the mean, then every section is added/subtracts an std to the mean. In our case with one std we get the values that we are looking.
Answer: The percentage of students scored between 170 and 246 on the exam is 68%.
(11^9) over (15^6) to the 4th power
A 11^6 + 4/15^6 +4
B 11^36/15^24
C 11^9x4/15^6x4
D 11/13/15^10
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The expression 11⁹ / 15⁶ to the fourth power is equivalent to 11³⁶ / 15²⁴
How to solve an equationAn equation shows the relationship between two or more numbers and variables.
Giving the exponents:
11⁹ / 15⁶ to the fourth power
Representing this equation in exponent form:
(11⁹ / 15⁶)⁴
Applying the law of exponents:
(11⁹)⁴ / (15⁶)⁴
= 11³⁶ / 15²⁴
The equation (11⁹ / 15⁶)⁴ gives 11³⁶ / 15²⁴
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Find the area of the rectangle that has a perimeter of 8x − 14 units and a length of x − 5 units.
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Answer: Area = 4 square units
Perimeter of the rectangle = 8x - 14 units
Length of the rectangle = x - 5 units
Let the width of the rectangle = x units
Perimeter = 2( length + width)
8x - 14 = 2(x - 5 + x)
Solve the parenthesis for once
8x - 14 = 2(x + x - 5)
8x - 14 = 2(2x - 5)
8x - 14 = 4x - 10
Collect the like terms
8x - 4x = -10 + 14
4x = 4
Divide both sides by 4
4x/4 = 4/4
x = 1
Since, the length is x - 5 units
Length = 1 - 5
Length = - 4units
Length = 4 units
Width = 1 unit
Area = length x width
Area = 4 x 1
Area = 4 square units
Which ratio is less than 7/15?9/152/53/524/45
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SOLUTION:
Case:
Given:
Required:
Method:
Final answer:
A sample of people who recently hired an attorney yielded the following information about their attorneys.
Number of People
Would You Recommend Your Attorney to a Friend?
Yes
No
Not sure
Three people who provided information for the table were selected at random. Determine the probability that the first two would not recommend their attorney and the third is not sure if he or she would recommend their attorney.
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what is the x and y intercept of -8x+6y=24
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we have the following:
[tex]\begin{gathered} -8x+6y=24 \\ 6y=8x+24 \\ y=\frac{8}{6}x+\frac{24}{6} \\ y=\frac{4}{3}x+4 \end{gathered}[/tex]therefore, x intercept:
[tex]\begin{gathered} y=0 \\ 0=\frac{4}{3}x+4 \\ \frac{4}{3}x=-4 \\ x=\frac{-4\cdot3}{4} \\ x=-3 \\ (-3,0) \end{gathered}[/tex]y intercept:
[tex]\begin{gathered} x=0 \\ y=\frac{4}{3}\cdot0+4 \\ y=4 \\ (0,4) \end{gathered}[/tex]The answer is:
x-intercept: (-3,0)
y-intercept: (0,4)
Y-int (0,4)
Two factory plants are making TV panels. Yesterday, Plant A produced 2000fewer panels than Plant B did. Four percent of the panels from Plant A and 2% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 880 defective panels?
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Using a series of linear equations, the number of panels generated by Plant B is 16000.
Given,
Plant A produces 2000 fewer panels than Plant B.
Defective percentage of plant A = 4%
Defective percentage of plant B = 2%
To find: Number of useable panels of Plant A and Plant B if 880 are defective.
Let's take, panels produced by Plant B = b
and panels produced by Plant A , a = b - 2000 - - - - (1)
The total number of defective panels :
0.04a + 0.02b = 880 - - - - - (2)
From (1) :
0.04(b - 2000) + 0.02b = 880
0.04b - 80 + 0.02b = 880
0.06b = 880 + 80
0.06b = 960
b = 960 ÷ 0.06
b = 16,000
Therefore, plant B built 16,000 panels.
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27. In a neighborhood donut shop, one type of donut has 560 calories, two types of donuts have 400 calories, five types of donuts have 570 calories, six types of donuts have 450 calories, and seven types of donuts have 550 calories.Find the mean number of calories in these donuts. Round your answer to the nearest whole number, if necessary. caloriesFind the median number of calories in these donuts. calories
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ANSWER:
Mean: 512 calories
Median: 550 calories
STEP-BY-STEP EXPLANATION:
The first thing is to determine the data necessary to calculate the mean and median, according to the statement, the data is as follows:
[tex]560,400,400,570,570,570,570,570,450,450,450,450,450,450,550,550,550,550,550,550,550[/tex]The mean is the average value of a set of numeric data, calculated as the sum of the set of values divided by the total number of values:
[tex]\begin{gathered} m=\frac{560+400+400+570+570+570+570+570+450+450+450+450+450+450+550+550+550+550+550+550+550}{21} \\ m=\frac{10760}{21}=512.38\cong512 \end{gathered}[/tex]The median is a central position statistic that splits the distribution in two, that is, it leaves the same number of values on one side as on the other. To calculate the median it is important that the data are ordered from highest to lowest, or conversely from lowest to highest, therefore, we organize:
[tex]400,400,450,450,450,450,450,450,550,550,550,550,550,550,550,560,570,570,570,570,570[/tex]The value in the middle after arranging is 550, therefore the median is 550 calories.
find the volume of the figure below. as you can see my teacher has already gaved the answer now she wants me to show how she got the answer.
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The volume of any solid is the product of the base area and the height
[tex]V=b\mathrm{}A\times h[/tex]Let us find the area of the base of the given figure and multiply it by the height
The base is a right triangle of legs 9 mm and 26 mm, then its area is
[tex]\begin{gathered} b\mathrm{}A=\frac{1}{2}\times9\times26 \\ b\mathrm{}A=177mm^2 \end{gathered}[/tex]The height of the solid is 24 mm, then
[tex]\begin{gathered} V=177\times24 \\ V=2808mm^3 \end{gathered}[/tex]The volume of the figure is 2808 cubic mm
Answer C
During a sale, Neil found digital cameras on sale for $204 that had previously cost $600. What percentage is the discount? Write your answer using a percent sign (%).
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We need to find the percentage of the discount over a camera that had previously cost $600 and now is on sale for $204.
In order to find that percentage, we need to find the total discount (previous cost minus cost on sale) and then divide the result y the previous cost.
The total discount is:
[tex]\$600-\$204=\$396[/tex]Then, dividing this result by the previous cost, we obtain:
[tex]\frac{\$396}{\$600}=0.66[/tex]Now, we can write it as a percentage:
[tex]0.66=\frac{66}{100}=66\%[/tex]Answer: 66%
The bottom number. I need written in a way where there is no number above the square root symbol. (The number 4 that’s a live the square root symbol) I need it like simplified to where there is no number above the square root symbol
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1) Let's rewrite that radical, in a way that we can eliminate the fourth root:
[tex]18\sqrt[4]{5}\Rightarrow(18\sqrt[4]{5})^8=18^8\cdot(\sqrt[4]{5})^8=18^8\text{ }\sqrt[]{25}[/tex]2) This way we can get rid of the fourth root by raising to the power (in this case 8) as the index of the root (4).
3) Hence, one possible way to rewrite it with no root is
[tex](18\sqrt[4]{5})^8=18^8\sqrt[]{25}[/tex]Find the inverse y = (x - 2)³ +6
Ox-6+2=y
Ox-6+2=y
Ox-6+2=y
Answers
Answer:
y = [∛(x-6)] - 2
Step-by-step explanation:
To find the inverse :
Solve for xSwap x and ySolve for x using balancing method or solve and ping method:
y= (x-2)³+6
y - 6 = (x+2)³
∛(y-6) = x+2
[∛(y-6)] - 2 = x
x = [∛(y-6)] - 2
Swap x and y :
y = [∛(x-6)] - 2
This is the inverse of y = (x - 2)³ +6
Hope this helped and have a good day