Answer:
CB = 30.15
Step-by-step explanation:
180-58-93 = 29 degrees for angle B
draw a line perpendicular to BC down to point A, lets call the perpendicular point D.
now you've got 2 similar, smaller triangles
angle A is split into two angles, 29 degrees above and 58 degrees below.
sin 29 =CD/16
CD = 7.75
cos 29 = AD/16
AD = 14
tan 58 =DB/AD = DB/14
DB = 22.40
CD + DB = 7.75 + 22.40 = 30.15
Can someone please help me ASAP?? It’s due tomorrow!! I will give brainliest If It’s correct.
Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:
A. Perpendicular to the base: Rectangle
B. Parallel to the base: Triangle with dimensions equal to the base
C. Diagonal from vertex to vertex: Triangle with unknown dimensions
PLEASE ANSWER THIS ASAP, 15 POINTS!
Answer:
The second one the amount of monthly sales
Step-by-step explanation:
The 2000 is the total
. Osteen has 32 marbles in his collection. 18 of his marbles are red, four are blue, and the rest are
green. What part of Osteen's marbles are red?
A. 5/16
B. 9/16
C. 1/2
D. 2/3
Answer: B
Explanation:
32 marbles in total.
18 red marbles
4 blue marbles
10 green marbles.
You are asked what part of Osteen's marbles are red?
Probability = number of possible outcomes/total number of out outcomes.
P(Red) = 18/32 = 9/16
Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.
P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.
P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.
Hope this elaborate explanation helps.
What is 83 1/3% of 30
Help me pleaseeeee ill mark brainliest!!!
the zeros of the quadratic function y = x² - 4x - 9 are x = 2 + √13 and x = 2 - √13.
What is Quadratic equation?ax²+bx+c=0, with a not equals to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
Given, a quadratic equation y = x² - 4x - 9
To find the zeros of the quadratic function y = x² - 4x - 9 by completing the square, we can follow these steps:
Group the x² and x terms together:y = (x² - 4x) - 9
Complete the square for the x² - 4x expression. To do this, we need to add and subtract the square of half the coefficient of the x term (which is (-4)/2 = -2) inside the parentheses:y = (x² - 4x + 4 - 4) - 9
Factor the first three terms inside the parentheses as a perfect square:y = (x - 2)² - 13
Set y equal to zero and solve for x:(x - 2)² - 13 = 0
(x - 2)² = 13
x - 2 = ±√13
x = 2 ± √13
Therefore, the zeros of the quadratic function y = x^2 - 4x - 9 are x = 2 + √13 and x = 2 - √13.
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Please Hurry!!!!!
55% of what number is 24?
Provide an exact fraction answer.
the answer here is 13.2. hope this helps
4 Simplify:
(3x+4)(x-2) + (2x+1)(x-1)
Answer:
\(5x^{2} -3x-9\)
Step-by-step explanation:
\((3x+4)(x-2) + (2x+1)(x-1)\)
\(3-2x-8+\) \(2x^{2}-2x+1(x-1)\)
\(3x^{2} -2x-9+2x^{2}-x\)
\(5x^{2} -3x-9\)
A $100 tablet is marked up by 10% and then the new price is marked down by 10%. What is the final price?
Answer:
$99
Step-by-step explanation:
So the initial price of the tablet was $100. It was marked up by 10% and then marked down by 10%. We are asked to find the final price.
To find the final price, lets first find the price after the tablet price was marked up by 10%. This means that the tablet price increased by 10%. To find the price, we can add 10% of the new original price (or 10% times $100) original price ($100):
$100 + ($100 × 0.1) = $100 + $10 = $110
We could have also multiplied $100 by 1.1 (or 1 + 10%) to find the new price.
So now we know that the new price after the tablet is marked up by 10% is $110. Now, to find the final price, we have to find the price after the new price is marked down by 10%. We can do this by taking the new price ($110) and subtracting 10% of the new price (or 10% times $110):
$110 - ($110 × 0.1) = $110 - $11 = $99
So the final price of the tablet would be $99.
I hope you find my answer to be helpful. Happy studying.
What is the relationship between the set of variables when comparing the speed a bus travels and the time it takes to get to school?
Answer: sorry
Step-by-step explanation:
Given: M is the midpoint of LN, N is the midpoint of MO Prove: LM=MO
Consider the below below figure is attached with this question.
Given:
M is the midpoint of LN.
N is the midpoint of MO.
To prove:
LM=NO (instead of LM=MO).
Solution:
It is given that, M is the midpoint of LN. So,
\(LM=MN\) ...(i)
N is the midpoint of MO. So,
\(MN=NO\) ...(ii)
Using (i) and (ii), we get
\(LM=NO\)
Hence proved.
A model is made of an airplane. The plane is 150 feet long and the model is 20 inches long. What is the ratio of the length of the plane to the length of the model? Be sure to reduce your answer!
Answer:
7.5 : 1
Step-by-step explanation:
Given that :
Length of airplane = 150 inches
Length of model = 20 inches
Ratio of length of plane to that of model
Length of plane : length of model
150 : 20
15 : 2
7.5 : 1
Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, Upper R left parenthesis x right parenthesis, andcost, Upper C left parenthesis x right parenthesis, of producing x units are in dollars. R(x)=3x, C(x)=0.05x^2+0.04x+10
To maximize the profit 29.6 units must be produced.
What is the maxima or minima?
The maxima and minima of a function collectively referred to as extrema in mathematical analysis, are the highest and lowest values of the function, either on the whole domain or within a specific range.
We have given,
The revenue function is,
R(x)=3x
Cost function,
C(x)=0.05x^2+0.04x+10,
Where
x = number of units produced.
Thus, profit = revenue - cost
P(x) = 3x - (0.05x^2+0.04x+10)
= -0.05x^2 + 2.96x - 10
Differentiating with respect to x,
P'(x) = -0.1x + 2.96
Again differentiating with respect to x,
P''(x) = -0.1
For maxima or minima,
P'(x) = 0,
0 = -0.1x + 2.96
-0.1x = -2.96
x = 2.96/0.1
For x = 29.6,
P''(x) = negative,
Hence, to maximize the profit 29.6 units must be produced.
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What are the prime numbers of 8?
Answer:
1,2,4and 8
Step-by-step explanation:
Answer: No
Answer and Explanation: The numbers 2, 2, and 2 are the prime factors of 8 because 8 divided by 2 equals 4. Thus, 2 and 4 are factors of eight.
Identify the geometric mean of 10 and 5/8.
24.08319
Step 1 : Find 1 / N
1 / N = 1 / 5 = 0.2
Step 2 : Find mean
GM = ( 1 * 3 * 5 * 7 * 10 ) 0.2
= ( 1050 ) 0.2
GM= 4.020
help! i can’t figure it out
Answer:
15
Step-by-step explanation:
x + 2y
Putting x = 7, y = 4, we have
7 + 2(4)
= 7 + 8
= 15
Hope it helps.
If you have any query, feel free to ask.
Step-by-step explanation:
It's saying x = 7 and y = 4, which means everywhere there is an x, you'll place a 7 and everywhere there is a y, you'll place a 4
x + 2y turns into (7) + 2(4)
Now we can answer the bottom question
2(4) = 8
7 + 8 = 15
so...
If x =7 and y=4, then x+2y= 15
Which of the following is a run on sentence
A team of 9 dodgeball players needs to choose
The function that would be needed for the team of dodgeball players to choose a co - captain and a captain would be a permutation.
When is a permutation needed ?The techniques used to determine how many outcomes are conceivable in certain circumstances are permutation and combination. Combinations and permutations are referred to as selections and arrangements, respectively. The sum rules and product rules, which are based on the basic concept of counting, make counting simple to use.
When an order or sequence of arrangement is required, permutations are used. There is an order that needs to be used here and that order is that a captain is picked to have more authority than a captain.
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The full question is:
Permutation, combination, or neither? A team of 9 dodgeball players needs to choose a co-captain and captain.
Solve: 7.2 + 3.5
Enter the correct numbers into the box to complete the equation.
7.2 + 3.5 = 7.2 + 3 + ___ = ___
Hello~
Here!
7 + 3.5
Ary~
1. Find the measure of each of the following angles in the rhombus
Answer:
it will be 44 degree because all angles in rhombus are equal
Solve for Y
-11 = –22 + y over 5
The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. Find the velocity and acceleration at t = pi/3 s. v(pi/3) = a(pi/3) =
The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.
Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s
Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s
Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².
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Graph y = -3/2x - 3.
I NEED HELP QUICKLY for both X
The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)
How to solve quadratic equation?The quadratic formula can be use to solve the quadratic equation as follows:
x² - 4x + 4 = 0
Modelling it to quadratic equation, ax² + bx + c
Hence,
using quadratic formula,
\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)
where
a, b and c are the coefficient in the equationHence,
a = 1
b = -4
c = 4
Therefore,
\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)
Finally
x = 2
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the smallest score in a population is x = 5 and the largest score is x = 10. based on this information, you can conclude that the____.
Based on the information that the smallest score in a population is x=5, and the largest score is x=10, the conclusion is that the standard deviation is going to be smaller than the range of scores.
Given that in a population, the smallest score is x=5, and largest score is x=10, the range of scores is:
Range of scores=largest score-lowest score
=10-5
=5
Here the range of scores is 5, and the mean of the scores is likely to be between 5 and 10
Standard deviation which refers to the average spread of the distribution, will now be considered to be smaller since the range of scores is low.
Because standard deviation is found from the mean, if the mean is between x=5 and x=10, the standard deviation must be lower than x=5.
Hence, smaller than the range of scores.
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The figure below is a square. Find the length of side x to the nearest tenth.
Answer:
3.7
Step-by-step explanation:
The length of the diagonal of a square is \(\sqrt{2}\) times the side length.
\(\implies x=\sqrt{7}\sqrt{2} \approx 3.7\)
market classes and grades encompass descriptive terminology of carcasses and products for the understanding of different groups or buyers.
Market classes and grades are used to describe the quality and characteristics of agricultural products, including meat, poultry, fruits, and vegetables. True
They provide a common language for buyers and sellers to communicate about the characteristics, such as the age, sex, fat content, and muscling, of the product. Market classes and grades help ensure that buyers receive products that meet their quality standards and help sellers receive a fair price for their products. For example, beef is graded based on marbling, maturity, and lean color, with the highest grade being USDA Prime, followed by USDA Choice and USDA Select.
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Full Question: market classes and grades encompass descriptive terminology of carcasses and products for the understanding of different groups or buyers. T/F
This standardized system of classification allows for easier communication and understanding between buyers and sellers, and ensures consistency and fairness in the marketplace.
Market classes and grades refer to the categorization and labeling of carcasses and products based on their quality and characteristics. These classifications use descriptive terminology that is understood by different groups of buyers, such as meat packers, wholesalers, retailers, and consumers. Market classes typically group animals based on their intended use, such as beef cattle for slaughter, while grades are assigned based on factors such as maturity, marbling, and fat content. This standardized system of classification allows for easier communication and understanding between buyers and sellers, and ensures consistency and fairness in the marketplace.
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Please help me answer this i’m being timed, tysm ur the best!:)
Answer:
See below.
Step-by-step explanation:
X-intercepts: (-1, 0) & (5, 0)
Y-intercept: (0, -5)
Vertex: (2, -9)
Axis of Symmetry: x = 2
A chemist poure 79.89 ml of wwater into an empty beaker she mixed 32.7 ml of clhorrine and 0.05ml of glychein .how millteres of lipuid waas in the beeaker theen
The total volume of liquid in the beaker after mixing the substances is 112.64 ml.
How to find the total volume of liquid in the beaker after mixing the substancesTo determine the volume of liquid in the beaker after mixing the given substances, we need to calculate the total volume of water, chlorine, and glychein that were combined.
Total volume of liquid in the beaker = Volume of water + Volume of chlorine + Volume of glychein
Given information:
Volume of water = 79.89 ml
Volume of chlorine = 32.7 ml
Volume of glychein = 0.05 ml
Calculating the total volume:
Total volume of liquid = 79.89 ml + 32.7 ml + 0.05 ml
Total volume of liquid = 112.64 ml
Therefore, the total volume of liquid in the beaker after mixing the substances is 112.64 ml.
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The table below shows numerical summaries for the length of dogs' tails in inches (measured from hip bone to tail
tip) for several breeds of dogs.
Which of the following statements is true?
This is a skewed-left distribution, because the mean is less than the median.
O This is a skewed-right distribution, because the mean is less than the median.
This is a skewed-left distribution, because the mean is greater than the median.
This is a skewed-right distribution, because the mean is greater than the median.
Because the mean is the same as the median, this distribution is roughly symmetric.
The correct option regarding the skewness of the distribution is given by:
This is a skewed-left distribution, because the mean is less than the median.
Given the mean and the median of a distribution, how we classify it's skewness?If the mean is greater than the median, the distribution is right-skewed, also called positively skewed. Otherwise, if the median is greater than the mean, the distribution is left-skewed, also called negatively skewed.
In this problem, we have that:
The mean is of 10.4.The median is of 13.4.The median is greater than the mean, hence the correct option is given by:
This is a skewed-left distribution, because the mean is less than the median.
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Which of the following is not a polynomial a) x²+√2x+3 b)x²+√2x+6 c)x³+3x²-3. d)6x+4
x²+√2x+3 and x²+√2x+6 are expressions that are not polynomial. (Option a and Option b)
What is polynomial expression?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
A polynomial function is one that uses only non-negative integer powers or positive number coefficients of such a variables in such an expression like the quadratic function, cubic equation, and so on.
For the algebraic expression to be called a polynomial, the exponents in the algebraic expression should be non-negative integers. Also if an algebraic expression has a radical in it then it can not be called a polynomial.
a) x²+√2x+3. This expression is not a polynomial as the polynomial expression does not contain any radicals. √2 here is a radical root.
⇒ Hence, option a is not a polynomial expression.
b) x²+√2x+6.This expression is also not a polynomial expression as it has a radical √2 present in the expression.
⇒ Hence, option b is not a polynomial expression.
c) x³+3x²-3. This expression can be termed as a polynomial expression since all of the variables have positive integer exponents.
⇒ Hence, option c is a polynomial expression.
d) 6x+4. This expression is also a polynomial expression as all of the variables have positive integer exponents.
⇒ Hence option d is a polynomial expression.
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