The trigonometry expression is sin(x) = 3/5
How to determine the trigonometry expression?The triangle is a right triangle.
So, we can make use of the following equations:
sin(x) = opposite/hypotenusecos(x) = adjacent/hypotenusetan(x) = opposite/adjacentUsing the sine expression, we have:
sin(x) = 3/5
Hence, the trigonometry expression is sin(x) = 3/5
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Which of the following DOES NOT equal 8%?
A.)0.08
B.)0.08
C.)8/100
D.)8.0%
E.)8.0%
F.)2/25
G.)4/5
Answer:
g
Step-by-step explanation:
8/100 is the same as 0.08 and 8,0% doesn't change and 2/25 is 8% as 1/25 is 4 so 2 would be 8 and it is g as 4/5 is 80%
PLEASE MAY I HAVE BRAINLIEST
To make lemonade , Kate uses 1 cup of lemon juice and 2 cups of sugar. If she makes a larger amount of lemonade with 10 cups of sugar, how many cups of lemon juice does she need?
Answer:
5 cups
Step-by-step explanation:
Answer:
1/2 : 1
2 : 4
3 : 6
Notice that every ratio consists of a number and double the number.
For 1/2 cup lemon juice, use 1 cup sugar.
The amount of sugar is twice the amount of lemon juice.
The ratio is 1:2
Since you are told the ratio is 1:r, that means r is 2.
The unit rate is 2 cups sugar per cup of lemon juice.
Step-by-step explanation:
Which set of numbers describe the side length of a right triangle
Answer: 3,4,5
Step-by-step explanation:
5² = 3² + 4²
25 = 9 + 16
25 = 25
The set of numbers 3, 4, and 5 describe the side length of a right triangle.
Option C is the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Set of numbers:
1, 2, 3
2, 3, 4
3, 4, 5
4, 5, 6
We need to find the set of numbers that describe the side length of a right triangle.
We will apply the Pythagorean theorem to all the sets of numbers.
Using 1,2,3.
1² = 2² + 3²
1 = 4 + 9
1 = 13
2² = 1² + 3²
4 = 1 + 9
4 = 10
3² = 1² + 2²
9 = 1 + 4
9 = 5
This is not true.
Similarly,
Set of numbers: 2,3,4 and 4,5,6 are not true.
Using 3, 4, 5
5² = 3² + 4²
25 = 9 + 16
25 = 25
This is true.
Thus,
The set of numbers 3, 4, and 5 describe the side length of a right triangle.
Option C is the correct answer.
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James has a 34-foot ladder leaning against the side of his house. If the bottom of the ladder is
16 feet away from his house, how many feet above the ground does the ladder touch the
house?
Answer:
Step-by-step explanation:
Cuz if the latter is 34 it`s close to the house how can he can`t touch the house if he didn`t touch a house or anything he will fall.
Jarred drew the model below of his backyard. The perimeter of the backyard is 40 feet, and the backyard is 8 feet wide. How many feet long are all the sides of his backyard?
Answer:
Step-by-step explanation:
Jarred drew the model below of his backyard. The perimeter of the backyard is 40 feet, and the backyard is 8 feet wide.
his backyard is in rectangle shape and breadth =8
perimeter = 40
but perimeter = 2(l+b)
so
2(l+8)=40
l+8=20
l=12 feet
3. describe the pattern of learning math concepts according to siegler.
According to Siegler, the pattern of learning math concepts involves a gradual development and refinement of strategies. Siegler's theory, known as the overlapping waves model, suggests that learners use multiple strategies simultaneously and gradually shift towards more efficient ones over time. This process allows for a better understanding and application of math concepts, ultimately leading to improved problem-solving skills.
According to Siegler, the pattern of learning math concepts involves a gradual progression from using counting strategies to more efficient and accurate strategies. Children initially rely on counting strategies to solve math problems, such as counting fingers or objects. As they progress, they begin to use more advanced strategies, such as decomposition or mental math, which allow them to solve problems more quickly and accurately. Siegler also emphasizes the importance of practice and repetition in developing math skills and the role of feedback and instruction in promoting learning. Overall, Siegler's theory suggests that children's math skills develop through a combination of innate abilities and environmental factors, including exposure to math concepts and opportunities for practice and instruction in time.
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Pressure =
force/area
A force of 70 newtons acts on an area of 20 cm?
berabils HBO
The force is increased by 10 newtons,
The area is increased by 10 cm?
Helen says,
"The pressure decreases by less than 20%"
Is Helen correct?
You must show how you get your answer.
Helen is not correct. The pressure decreases by 23.8% and not less than 20%.
Pressure = force/area
The initial pressure is 70 N / 0.2 m^2 = 350 Pa (Pascals). If the force is increased by 10 N and the area is increased by 10 cm^2, the new pressure is 80 N / 0.3 m^2 = 266.67 Pa
The difference in pressure between the initial and final states is 83.33 Pa (350 Pa - 266.67 Pa)To calculate the percentage change in pressure, we divide the change in pressure by the initial pressure and multiply by 100:
(83.33 Pa / 350 Pa) * 100% = 23.8%So Helen is not correct. The pressure decreases by 23.8% and not less than 20%.
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PLEASE HELP ASAP 30 POINTS!!! WILL GIVE BRAINLIEST!!
1. In the first step of proof, the left-handed side of the following identity is factored. Which fundamental identity is used in the second step of the proof?
2. Simplify the expression. csc^2x-1/1+sinx
1. The factoring step is
sin²θ - cos²θ sin²θ = sin²θ (1 - cos²θ)
Then the Pythagorean identity is invoked:
cos²θ + sin²θ = 1 → 1 - cos²θ = sin²θ
so that
sin²θ - cos²θ sin²θ = sin²θ sin²θ = sin⁴θ
(third option)
2. Recall that a ² - b ² = (a - b) (a + b). The numerator here is such a difference of squares:
csc²x - 1 = (cscx - 1) (cscx + 1)
Then
(csc²x - 1) / (1 + sinx) = ((cscx - 1) (cscx + 1)) / (1 + sinx)
Recall that cscx = 1/sinx, so rewrite this as
… = ((1/sinx - 1) (1/sinx + 1)) / (1 + sinx)
In the numerator, pull out a factor of 1/sinx from both terms:
… = (1/sinx (1 - sinx) × 1/sinx (1 + sinx)) / (1 + sinx)
… = ((1 - sinx) (1 + sinx)) / (sin²x (1 + sinx))
Cancel the common factor of 1 + sinx :
… = (1 - sinx) / sin²x
Expand the fraction and rewrite sin in terms of csc :
… = 1/sin²x - sinx/sin²x
… = 1/sin²x - 1/sinx
… = csc²x - cscx
Factor out cscx to get the second option,
… = cscx (cscx - 1)
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is?
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.
What are scatterplots?A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.
Scatter plot for the positive correlationScatter plot for negative correlationScatter plot for null correlationA weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.
Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
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decrease 40 by 62 1/2%
Answer:
15
Step-by-step explanation:
Take 62.5 from 100 = 37.5
divide this by 100 = 0.375
times 40 by this
0.375 x 40 = 15
determine whether the random variable described is discrete or continuous. a) the number of songs on a randomly chosen ipod [ select ] b) the number of people in line at the bank at a randomly chosen time [ select ] c) the time it takes to drive to the airport [ select ] d) the amount of rain during the next thunderstorm [ select ]
The variables for this problem are classified as follows:
a) The number of songs on a randomly chosen ipod is discrete.
b) The number of people in line at the bank at a randomly chosen time is discrete.
c) The time it takes to drive to the airport is continuous.
d) The amount of rain during the next thunderstorm is continuous.
What are continuous and discrete variables?Variables are classified as continuous or discrete depending if they can assume decimal values, as follows:
Continuous variables: Can assume decimal values.Discrete variables: Assume only countable values, such as 0, 1, 2, 3, …More can be learned about discrete and continuous variables at https://brainly.com/question/3130222
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Can someone help with this?
Answer:
63?
Step-by-step explanation:
biggest= 42
smallest = 21
the mode of 5 numbers is 1 the median is 5 and mean is 4 find the numbers
Answer:
1+1+5+6+7
Step-by-step explanation:
The mode of this set is 1-most frequently occurring number in the set
The median is 5- the middle of the set
The mean is 4- the sum of the set is 20, divided by 5 is 4
Question 2
On the traffic sign warning of a steep ascent, the percent figure 8% describes the steepness of the hill (i.e. there is a rise of 8 cm for each metre)
8%
What is the percent of slope (the steepness of the hill) if there is a rise of 72 metres in 600 metres?
The percent of slope if there is a rise of 72 metres in 600 metres is given as follows:
12%.
How to obtain the percent of slope?The percent of slope is obtained applying the proportions in the context of this problem.
A proportion is applied because the percent of slope is given by the division of the vertical rise by the horizontal movement, multiplied by 100%.
The parameters for this problem are given as follows:
Rise of 72 meters.Horizontal movement of 600 meters.Hence the percent of slope is obtained as follows:
72/600 x 100 = 12%.
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48 apples to 36 apples what is the percent?
Answer:
75% will be your answer OwO
Step-by-step explanation: Chu welcome UvU
Miriam is making a large banner in the shape of a trapezoid.
What is the area of the banner?
Answer:
A=a+b/2 x h
Step-by-step explanation:
The area for a trapezoid is a+b divided by 2, multiplied by the height.
Since there are no lengths given, I cannot be solved.
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At the basketball game, Leo scored points in 30% of his attempts. Which of the following statements is true?
A- Leo scored points in more than 1/3 of his attempts.
B- Leo scored points in 1/4 of his attempts.
C- Leo scored points in 3/10 of his attempts,
D- Leo scored points in less than 1/6 of his attempts.
THIS IS FOR A TEST, PLEASE HELP
Answer:
C. Leo scored points in 3/10 of his attempts
Step-by-step explanation:
30% is 30/100
Which can simplify to
3/10
Given x equals pi over 3 comma what is the exact value of sine of the quantity pi plus x end quantity?
one half
negative radical 3 over 2
radical 3 over 2
negative one half
The value of sin(π+x) for the given x=π/3 is -√3/2. Therefore, option B is the correct answer.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
Given that, x=π/3 and sin(π+x).
Here, x = 180/3
x=60°
Now,
sin(π+x)
= sin(180+60)
= sin240°
Sin 240 degrees is the value of sine trigonometric function for an angle equal to 240 degrees. The value of sin 240° is -√3/2.
Therefore, option B is the correct answer.
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If in a population the rate of mutation that converts the A allele to the a allele is 10^-6 and the current frequency of the A allele is 0.75 and the a allele is 0.25, then the frequency of the A and a alleles in the next generation will be
Multiple Choice
O A: 0.74 a: 0.26
O A: 0.75000075 a: 0.24999925
O A: 0.75 a: 0.25
O A: 0.74999925 a: 0.25000075
The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m
where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925
And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075
Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.
This is option D.
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sean makes 225 a week with a standard deviation of 35, evan makes 240 with a standard deviation of 15, what is the probability that's sean will make more than evan on a randomly selected week?
The probability that Sean will make more than Evan on a randomly selected week is approximately 0.3446 or 34.46%.
To calculate the probability that Sean will make more than Evan in a randomly selected week, we need to compare their incomes in terms of standard deviations from the mean.
First, we need to calculate the difference between their means:
Mean difference = Sean's mean income - Evan's mean income = $225 - $240 = -$15
Next, we need to calculate the standard deviation of the difference between their incomes:
Standard deviation of difference = √[(Sean's standard deviation)^2 + (Evan's standard deviation)^2] = √[(35)^2 + (15)^2] = 37.42
Now, we can use a z-score table to find the probability that Sean's income will be higher than Evan's income:
Z-score = (Sean's income - Evan's income - Mean difference) / Standard deviation of difference = (225 - 240 - (-15)) / 37.42 = 0.40
From the z-score table, we find that the probability of a z-score of 0.40 or higher is 0.3446.
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Rename 1\10 and 1\4 using the least common denominator.
Answer:
1/20
Step-by-step explanation:
10 x 2 = 20
4 x 5 = 20
the both have 20 and it's the first they have in common so that's the common denominator
2/20 , 5/ 20 are the renamed denominators. Find calculations below
Find the renamed fractions
Information we have
Fractions = \(1/10 , 1 / 4\)
As LCM ie least common multiple of denominators 10 & 4 = 20
So, multiplying numerator & denominator of \(1 / 10\) with 2, we get
\(( 1 X 2 ) / ( 10 X 2 ) = 2 / 20\)
Similarly, multiplying numerator & denominator of \(1 / 4\) with 5, we get
\(( 1 X 5 ) / ( 4 X 5 ) = 5 / 20\)
Hence, renamed fractions with common denominators are \(2 / 20 , 5 / 20\)
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-8(p+3)≤16 HELP MEEEEE
Answer:
p ≥ -5
Step-by-step explanation:
Hope this helps!
HELP ME PLEASE I NEED HELP
Consider the end behavior of the function g(x) = 4|x − 2| − 3.
As x approaches negative infinity, f(x) approaches POSITIVE OR NEGATIVE infinity.
As x approaches positive infinity, f(x) approaches POSITIVE OR NEGATIVE infinity.
Answer:
Step-by-step explanation:
This is a narrower-than-normal absolute value graph, which is a v-shaped graph. It's pointy part, the vertex, lies at (2, -3) and it opens upwards without bounds along both the positive and negative x axes. Therefore, as x approaches negative infinity, f(x) or y (same thing) approaches positive infinity. As x approaches positive infinity, f(x) approaches positive infinity.
how to find the reference angle of a negative angle
To find the reference angle of a negative angle, follow these steps:
Determine the positive equivalent: Add 360 degrees (or 2π radians) to the negative angle to find its positive equivalent. This step is necessary because reference angles are always positive.
Subtract from 180 degrees (or π radians): Once you have the positive equivalent, subtract it from 180 degrees (or π radians). This step helps us find the angle that is closest to the x-axis (or the positive x-axis) while still maintaining the same trigonometric ratios.
For example, let's say we have a negative angle of -120 degrees. To find its reference angle:
Positive equivalent: -120 + 360 = 240 degrees
Subtract from 180: 180 - 240 = -60 degrees
Therefore, the reference angle of -120 degrees is 60 degrees.
In summary, to find the reference angle of a negative angle, first, determine the positive equivalent by adding 360 degrees (or 2π radians). Then, subtract the positive equivalent from 180 degrees (or π radians) to obtain the reference angle.
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A triangle has a hypotenuse that is 65 inches, and the length of one of its legs is 25 inches. What is the length, in inches, of the other leg to make this a right triangle? _(blank)_ inches
Answer:
okay so the way your going to set this up is backwards because you already know your hypotenuse. 65^2 = 25^2 + b^2. So its 24 feet
Step-by-step explanation:
Please help me. Will give brainliest if you help with my HW.
Answer:
Your answer is n(n+1)
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can someone plz explain ratio to me
A ratio shows how much of one thing there is compared to another. Ratios are usually written in the form a:b. If you are making orange squash and you mix one part orange to four parts water, then the ratio of orange to water will be 1:4 (1 to 4). The order in which a ratio is stated is important.
Barry bought a wooden board that measured 8 feet in length. He cut off a piece that measured
65 feet. How much of the board was left?
Answer:
-57
Step-by-step explanation:
If he had an 8 ft board and cut 65 ft off it would be -57.
please help i dont understand this question
Answer: Difference of Cubes
Step-by-step explanation:
\(\boxed {a^3-b^3=(a-b)(a^2+ab+b^2)}\)
\(8x^3-27=\\\\(2x)^3-3^3=\\\\(2x-3)((2x)^2+2x(3)+3^2)=\\\\(2x-3)(4x^2+6x+9)\)
Simplify : 14z + 8y - 5 + 9y - 10z
Find the Unit Rate: Allison bought 6 pounds of bananas for $10.50. *
Answer:
4z+17y-5
unit rate- 1.75 dollars
Step-by-step explanation:
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