1. WHAT DOES IT MEAN TO SOLVE A RIGHT TRIANGLE?
2. HOW CAN YOU SOLVE RIGHT TRIANGLES USING SIMILARITY? THE PYTHAGOREAN THEOREM?
3. WHAT IS THE RELATIONSHIP BETWEEN THE SIDES AND ANGLES MEASURES OF RIGHT TRIANGLES THAT
DESCRIBE TRIGONOMETRIC FUNCTIONS?
4. WHAT ARE THE INVERSE TRIGONOMETRIC FUNCTIONS? HOW ARE THE INVERSE FUNCTIONS USED WHEN
SOLVING RIGHT TRIANGLES?
5. WHAT IS THE RELATIONSHIP BETWEEN THE ANGLE OF ELEVATION AND THE ANGLE OF DEPRESSION?
GIVE AN EXAMPLE OF AN APPLICATION USING THE ANGLE OF ELEVATION OR THE ANGLE OF DEPRESSION.
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1) Solving a right triangle means finding the values of the unknown {most likely a variable}
2) The picture is for the Similarity in Right Triangles, I couldn't explain it.
How you can use Pythagorean Theorem: The formula for that is (a^2 + b^2 = c^2). The longest side of a triangle is called the hypotenuse, and the other sides are called legs. You usually use Pythagorean Theorem when you are trying to find an angle of a side. A and B in the formula are the legs and C is the hypotenuse, it makes sense because the hypotenuse is the longest side of the triangle, which means that it has a greater angle than the legs. So say you have a triangle with a leg of 5, a leg of 7, and the hypotenuse is unknown. (If you're a visual person, I also drew it on paint and put it in :P) The formula is a^2 + b^2 = c^2. The ^2 is an exponent, which means that we have to multiply the base by itself that many times. For example, if we had 3^4, we'd have to multiply 3 4 times. (3*3*3*3=81) So 5*5=25 and 7*7=49. It would be better it fill in the formula as you go. So now you have (25+49=c^2). You wouldn't multiply c^2, because we don't know the base yet, it's an unknown, so we keep it at that for a while. So now we just continue with the problem which is basically 25+49 which is 74. (74=c^2) But that's not the answer. We have to find the square root of 74 in order to get the answer because we have to multiply with an exponent, the opposite is square rooting which is what we have to do. (((what sucks is that I reached the max of files to enter for you so your just gonna have to read the rest. sorry))) So the square root of 74 is 8.6. And that's your answer. The legs are 5 and 7, and your hypotenuse is 8.6. But what if you need to find one of the legs. The formula would be a= [tex] \sqrt{c^2-b ^2} [/tex] ( I hope the insert thing works if it doesn't I said a= square root of c^2-b^2)
I hope you can solve that because I have to go to a testing Class Connect, and I don't think I've learned the other questions yet. I'm sorry, and I hope I've helped!!
Related Questions
a painter 1/3 of a house on Monday and 1/4 of the house on tuesday. how much of the house is left to be painted.
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Answer: 5/12 of the house is left.
PLZ HELP ASAP CIRCLES
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Determine the number of x-intercepts that appear on a graph of each function. f (x) = (x + 2)(x - 1)[x - (4 + 3i )][x - (4 - 3i)]
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f(x) has 2 x-intercepts.
Answer:
This function has two x-intercepts.
Step-by-step explanation:
The number of x-intercepts of a function is given by the number of REAL ROOTS of the function. A complex root does not intercept x.
In this function, we have
Two real roots: x = -2 and a x = 1
Two complex roots: x = -4 + 3i and x = -4 - 3i
So this function has two x-intercepts.
hey can you please help me posted picture of question
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Graph using these selected points:
Rises to the left and rises to the right
x y
-1 3
0 3
1 3
2 15
3 75
After assigning values for x and y, plot the graph:
See attached picture for the graph.
We can now conclude that for the given graph, the equation of F(x) is equal to x^4-x^2+3 which is letter D. F(x)= x^4-x^2+3
THE FIRST ANSWER GETS A BRAINLIEST BUT THE ANSWER HAS TO BE RIGHT ALSO 20 POINTS
Kiah plotted the locations of her home and the city of Huntingdon on the number line shown. Williamsburg is the same distance from Kiah’s home as Huntingdon, but it is in the opposite direction. Which statement best describes how to find the location of Williamsburg on the number line?
A) The opposite of 6.75 is −6.75, so Williamsburg is at −6.75.
B) The sum of 6.75 and 6.75 is 13.5, so Williamsburg is at 13.5.
C) The numbers 6.75 and −6.75 are the same, so Williamsburg is at 6.75.
D) Opposites, such as 6.75 and −6.75, sum to zero, so Williamsburg is at 0.
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Answer:
Answer is A plz mark me as branliest like u said
Step-by-step explanation:
PLZ HELP ASAP INSCRIBED QUADRILATERALS
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106 + D = 180
D = 74 degrees.
On a coordinate graph, points F (4,1), G (4,-1), H (-7,1) and J (-7,-1) are the vertices of a rectangle. What is the area of the rectangle?
PLEASE EXPLAIN HOW YOU GOT THE ANSWER!!!!
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The area is 11*2 = 22 square units.
log (x+4) -5 base 2 = 17
help please!!
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if the quanity demanded of soda decreases by 5 percent when the price of soda rises by 100 percent what is the price elasticity of demand for soda
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A neighbor needs to put up a square fence around her garden to keep the deer out. If the area is 500 square feet, how much fence does she need to buy, rounded to the nearest tenth of a foot? Show your work.
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And since it’s a square the length and width is the same amount
So width=length=L
500 ft^2=L*L=L^2
Square root both sides
Sqrt(500 ft^2) =L= 22.36067977
The neighbor needs to buy approximately 89.6 feet of fencing to surround her 500 square feet garden, which is a square. This is calculated by taking the square root of the area to find the length of one side and then multiplying by four to get the perimeter.
To determine how much fence the neighbor needs to buy to surround her square garden, we need to calculate the perimeter of the square. The area of a square is given by the formula Area = side × side or Area = side². Since the area is 500 square feet, we first find the length of one side of the square by taking the square root of the area:
Side = √Area = √500 ft²
The square root of 500 is approximately 22.4 feet. Now, we calculate the perimeter, which is the sum of all four sides of the square:
Perimeter = 4 × side = 4 × 22.4 ft = 89.6 ft
Rounded to the nearest tenth of a foot, the neighbor needs to buy approximately 89.6 feet of fencing to surround her garden.
You have 4 tickets to the movies and can take 3 of 4 friends--Mike, Tom, Eddie, and Chris. If chosen randomly, what is the probability that you will take Mike, Tom, and Chris?
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You have to find the probabilities of these happening
To pick Mike the first time is a 1 /4 chance
To pick Tom after Mike is a 1 / 3 chance since you picked mike
To pick Chris after Tom is a 1 / 2 chance since there are only two friends left
To find the probability of these happening in a row you multiply them
1/4 * 1/3 * 1/2 = 1/24
The answer is 1/24
Hope this helps!
what ia -3x - 14 = 4
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-3x - 14 + 14 = 4 + 14 (Added 14 on both sides, -14 cancels out)
-3x = 18 (Divide 18 by -3x)
x = -6
-3x - 14 = 4 Add 14 to both sides.
-3x - 14 + 14 =4 + 14
-3x = 18 [4 + 14 = 18] Now divide by - 3
-3x/-3 = 18/-3
x = -6 <<<< answer
An odd number of minus's when you multiply or divide, leaves you with a minus. In this question, there is one minus on the right. Therefore the answer to division will be minus. You should always leave the variable (a letter) as plus.
6. Alice Correa bought three yards of cloth to make a dress. The cloth was on sale for $1.93 per yard. How much did Alice pay for the cloth if the sales tax was 5 percent? A. $5.79 B. $2.02 C. $6.08 D. $5.82
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$1.93 per yard x 3 yards = $5.79 before tax
5% sales tax means that there will be 0.05 added to the price of the product
$5.79 x 1.05 = 6.0795 = $6.08
Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which equation can she use to find g, the number of gallons of water she should add?
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the amount of detergent in 11 gal of 18% solution is the same as the amount of detergent in the 12% solution (after g gallons of water are added)
.18*11 = .12*(11+g)
Answer:
[tex]\frac{1.98}{11+g}=\frac{12}{100}[/tex]
Step-by-step explanation:
Given,
Total quantity of solution = 11 gallons
Initial detergent in the solution = 18 % of 11 gallons
[tex]=\frac{18\times 11}{100}[/tex]
[tex]=\frac{198}{100}[/tex]
[tex]=1.98\text{ gallons}[/tex]
Now, here g represents the number of gallons of water she should add to make 12 % detergent solution,
Final quantity of solution = ( 11 + g ) gallons
Thus, we can write,
The part of detergent in (11+g) gallons of water = The final percentage of detergent
[tex]\frac{1.98}{11+g}=\frac{12}{100}[/tex]
Which is the required equation.
hey can you please help me posted picture of question
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Solution is shown below
[tex]y= 4 x^{3} \\ \\ \frac{y}{4} = x^{3} \\ \\ \sqrt[3]{\frac{y}{4}} =x \\ \\ f^{-1}(y)= \sqrt[3]{\frac{y}{4}} \\ \\ f^{-1}(x)= \sqrt[3]{\frac{x}{4}} \\ \\ y^{-1}= \sqrt[3]{\frac{x}{4}} [/tex]
how can x2+3x+1=2x2+2x+3 be set up as a system of equations
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We then define the following unknowns:
incognitas: x and y.
We write the system of equations:
y = x2 + 3x + 1
y = 2x2 + 2x + 3
Answer:
y = x2 + 3x + 1
y = 2x2 + 2x + 3
The given equation can be converted into a system of equations by setting each side of the given equation to equal zero separately. The system of equations will then be x² - x + 2 = 0 and x² + 3x + 1 = 0.
Explanation:The given equation, x²+3x+1=2x²+2x+3, can be set as a system of equations by getting each side of the equation to equal zero. Begin by subtracting the entire left-hand side of the equation from the right-hand side which gives us:
2x² + 2x + 3 - (x² + 3x + 1) = 0
This simplifies to x² - x + 2 = 0. That's your first equation.
Now, take the left-hand side of the original equation and set it equal to zero: x² + 3x + 1 = 0. That's your second equation. So the system of equations from the original equation are:
x² - x + 2 = 0 x² + 3x + 1 = 0Learn more about System of Equations here:
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Assume that X has a normal distribution, and find the indicated probability. The mean is μ= 15.2 and the standard deviation is σ = 0.9. Find the probability that X is greater than 16.1.
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Answer:0.1587
Step-by-step explanation:
z = (x-μ)/σ
mean, μ= 15.2
standard deviation, σ = 0.9
To find the probability that x is greater than 16.1,
x = 16.1
z = (16.1-15.2)/0.9
= 1
Looking at the normal distribution table, the area covered by 0 to 1
=0.8413
Therefore, the probability that x is greater than 16.1, = 11- probability that x = 16.1
= 1-0.8413
= 0.1587
If angle A is complementary to angle B, and angle B is supplementary to angle C, what is the measurement of angle C if angle A is 21 degree...
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Since A and B are complementary they add to 90. So we know that B must be 69 degrees.
Since B and C are supplementary they add to 180. So we know that C must be 111.
What is the value of k used to find the coordinates of a point that partitions a segment into a ratio of 5:3?
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(5+3)=8
Thus the value for k = 5/8
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
We are asked to find the value of k used to determine the coordinates of a point that partitions a segment into a ratio of 5:3.
The value of k would be 5 divided by the sum of 5 and 3.
[tex]k=\frac{5}{3+5}[/tex]
[tex]k=\frac{5}{8}[/tex]
Therefore, the value of k is [tex]\frac{5}{8}[/tex].
If y varies inversely with x, and y= 2 when x= 8, what is k, the constant of proportionality?
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A population of protozoa develops with a constant relative growth rate of 0.8877 per member per day. on day zero the population consists of six members. find the population size after five days. (round your answer to the nearest whole number.) p(5) = members
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p(t) = 6×1.8877^t
The population size when t=5 is then
p(5) = 6×1.8877^5 ≈ 144 . . . . members
Which stem-and-leaf plot represents the data? 15, 16, 15, 48, 48, 63, 15, 29, 16, 30, 48 A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 5, 5, a stem value of 2 with a leaf value of 9, a stem value of 3 with a leaf value of 0, a stem value of 4 with a leaf value of 8, a stem value of 5, and a stem value of 6 with a leaf value of 3. Key: 1|5 means 15 A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 6, a stem value of 2, a stem value of 3 with a leaf value of 0, and a stem value of 4 with a leaf value of 8, 8, 8. Key: 1|5 means 15 A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, 6, 6, a stem value of 2 with a leaf value of 9, a stem value of 3 with a leaf value of 0, a stem value of 4 with a leaf value of 8, a stem value of 5, and a stem value of 6 with a leaf value of 3. Key: 1|5 means 15 A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, a stem value of 2 with a leaf value of 9, a stem value of 3 with a leaf value of 0, a stem value of 4 with a leaf value of 8, 8, 8, a stem value of 5, and a stem value of 6 with a leaf value of 3. Key: 1|5 means 15
Answers
Here is the data in order and the Stem and Leaf plot created:
15, 15, 15, 16, 16, 29, 30, 48, 48, 48, 63
Stem|Leaf
1 | 5 5 5 6 6
2 | 9
3 | 0
4 | 8 8 8
5 |
6 | 3
Key:1|5 = 15
Options: A
A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 5, 5, A stem value of 2 with a leaf value of 9, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, A stem value of 5A stem value of 6 with a leaf value of 3.Key: 1|5 means 15
Options: B
A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 6, A stem value of 2, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, 8, 8.Key: 1|5 means 15
Options: C
A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, 6, 6, A stem value of 2 with a leaf value of 9, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, A stem value of 5, and a stem value of 6 with a leaf value of 3.Key: 1|5 means 15
Options: D
A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, A stem value of 2 with a leaf value of 9, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, 8, 8, A stem value of 5A stem value of 6 with a leaf value of 3.Key: 1|5 means 15
Answer:
Options: D
A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, A stem value of 2 with a leaf value of 9, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, 8, 8, A stem value of 5A stem value of 6 with a leaf value of 3.Key: 1|5 means 15
Step-by-step explanation:
Given: 15, 16, 15, 48, 48, 63, 15, 29, 16, 30, 48
To plot a stem and leaf plot, first rearrange the observations in ascending order: 15, 15, 15, 16, 16, 29, 30, 48, 48, 48 , 63
Next, is to get the range of values
Low: 15
High = 63
Next, is to identify the stems
Using the range of 15 to 63, we need stems of 1, 2, 3, 4, 5 and 6
In tabular form, the stems are:
Stems ||
1 ||
2 ||
3 ||
4 ||
5 ||
6 ||
Next, is to fill in the leafs
Stem || Leaf
1 || 5 5 5 6 6
2 || 9
3 || 0
4 || 8 8 8
5 ||
6 || 3
Lastly, we write out our observations
1. The stem Value 1 has leaf values 5,5,5,6,6
2. The stem Value 2 has a leaf value 9
3. The stem Value 3 has a leaf value 0
4. The stem Value 4 has leaf Values 8,8,8
5. The stem Value 5 has no leaf
6. The stem Value 6 has leaf value 3
Comparing the observation with the options, option D represents the stem-and-leaf plot representation of 15, 16, 15, 48, 48, 63, 15, 29, 16, 30, 48
The price of an item has risen to $276 today. Yesterday it was $115. Find the percentage increase.
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276-115=131
131 divided by 276 = 0.47
0.47% increase
The student's question asked for finding the percentage increase in an item's price. This can be calculated by subtracting the initial price from the final price, dividing that difference by the initial price, and then multiplying the result by 100. In this case, the price of the item has increased by 140% from yesterday to today.
Explanation:To find the percentage increase of the price of an item, we subtract the initial price from the final price, then divide that number by the initial price, finally multiply that result by 100 to obtain the percentage. In this case, the initial price of the item was $115, and the final price is $276.
Here's how the calculation works:
Subtract the initial price from the final price: $276 - $115 = $161. Divide the difference by the initial price: $161 / $115 ≈ 1.4. Multiply the result by 100 to get the percentage increase: 1.4 * 100 = 140%.
Therefore, the price of the item has increased by 140% from yesterday to today.
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evaluate the following expressions 7/8 ×5/7 =
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Hey can you please help me posted picture of question
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1) Horizontal shift to left by 2 units
This is expressed by adding 2 to x
2) Vertical shift downwards by 3 units.
This is expressed by subtracting 3 from function
So, we can write:
F(x) = G(x - 2) - 3
F(x) = (x - 2)² - 3
So, option D is the correct answer
julia weny to the clothing store. she had exactly $100 that she could spend.she bought 3 shirts for $29.57 each including tax. each pair of socks cost 8.95,including tax. which inequality could be used to find s, the number of pairs of socks she cpuld buy?
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We need to add the total together, including the socks and the total needs to be less than or equal to 100. The inequality we would use is 3(29.57) + 8.95s <= 100 | 88.71 + 8.95s <= 100.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Help Please..
Arrange from smallest to largest
0.2 , 0.06, 0.602, 0.026, 0.21
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Simplify the expression (a^2b^5c^3)^4(a^3b^3)^3(a^2c)^2
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[tex]( a^{2} b^{5} c^{3} )^{4} ( a^{3} b^{3} )^{3} ( a^{2} c )^{2} \\ \\ =( a^{8} b^{20} c^{12} )( a^{9} b^{9} )( a^{4} c^{2} ) \\ \\ = a^{(8+9+4)} b^{(20+9)} c^{(12+2)} \\ \\ = a^{21} b^{29} c^{14} [/tex]
Find the greatest common divisor of 100 and 254, using • prime factorization- • euclidean algorithm-
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[tex]100=10^2=2^2\cdot5^2[/tex]
[tex]254=2\cdot127[/tex]
of which the only common factor is a single power of 2, so [tex]\mathrm{gcd}(100,254)=2[/tex].
Via the Euclidean algorithm:
[tex]254=2\cdot100+54[/tex]
[tex]100=1\cdot54+46[/tex]
[tex]54=1\cdot46+8[/tex]
[tex]46=5\cdot8+6[/tex]
[tex]8=1\cdot6+2[/tex]
[tex]6=3\cdot2+0[/tex]
which means [tex]\mathrm{gcd}(100,254)=2[/tex], as expected.
The Greatest Common Divisor (GCD) of 100 and 254 can be found using Prime Factorization and the Euclidean Algorithm. Both methods produce a GCD of 2.
Explanation:The student is asking for how to find the Greatest Common Divisor (GCD) of 100 and 254 using two different methods: Prime Factorization and the Euclidean Algorithm.
Prime Factorization: Start by writing down each number's prime factors. The prime factors for 100 are 2, 2, 5, 5 and the prime factors for 254 are 2, 127. The GCD is the product of the smallest power of each common prime number. In this case, the only common prime number is 2, so the GCD by prime factorization is 2.Euclidean Algorithm: This method begins with the larger number (254) and divides it by the smaller one (100). Write down the remainder (54). Then, divide the smaller number (100) by the remainder from the last step (54) to get a new remainder (46). The process is repeated until there is no remainder. The last non-zero remainder serves as the GCD. In this case, the process would continue as follows: 54 divided by 46 equals 1 remainder 8, then 46 divided by 8 equals 5 remainder 6, then 8 divided by 6 equals 1 remainder 2, then 6 divided by 2 equals 3, no remainder. Therefore, the GCD by Euclidean Algorithm is also 2.Learn more about Greatest Common Divisor here:https://brainly.com/question/23270841
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Which equation best presents the relationship between x and y in the graph?