Answers
Answer:
Θ = 49.6°
Step-by-step explanation:
cos Θ = adj/hyp
cos Θ = 24/37
cos Θ = 0.64864
Θ = cos^-1 0.64864
Θ = 49.6°
Related Questions
Which expression is equal to 3√5/√11
A.√33/5
B.3√55/11
C.3√55/√11
D.O√55/11
Answers
Answer:
B
Step-by-step explanation:
3√5/√11 = 2.02
3√55/11 = 2.02
so,
3√5/√11 = 3√55/11
In a Examination a candidate has to score minimum of 24 marks inorder to clear the exam. The maximum that he can score is 40 marks. Identify the Valid Equivalance values if the student clears the exam.
a) 22,23,26
b) 21,39,40
c) 29,30,31
d) 0,15,22
Answers
We can Identify the Valid Equivalance values if the option c) 29,30,31 student clears the exam.
The values that the system or component being tested need to be able to accept are known as valid partitions. The "Valid Equivalence Partition" is the name given to this partition. The values that the component or system under test should reject are known as invalid partitions. The "Invalid Equivalence Partition" is the name of this partition.
For the purpose of the student passing the exam, the values of marks that they can obtain that are equal to or higher than the minimum required marks to pass the exam, which is 24 marks, are regarded real equivalency values. In this case, 29, 30, 31, and all mark values higher than 31 are valid equivalence values.
The appropriate selections are (c), 29, 30, and 31.
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PLEASE HELP FAST !!!!!
The distribution of pitches thrown in the
80 at-bats in a baseball game is as follows.
Pitches 1 2 3 4 5
Frequency 12 16 32 12 8
Find the relative frequency that the pitcher
will throw exactly 4 pitches in an at-bat.
?
Relative Frequency =
Do NOT simplify your answer.
Answers
The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
3/20.
How to calculate a relative frequency?A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of at bats in this problem is given as follows:
80.
In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
12/80 = 3/20.
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find the difference of (-10x^2 + 5x -3) and (4x^2 + 6x - 7)
Answers
Answer:
-14x² - x + 4
Step-by-step explanation:
(-10x² + 5x - 3) - (4x² + 6x - 7)
= (-10x² + 5x - 3) - (+4x²) - (+6x) - (-7)
= (-10x² + 5x - 3) -4x² -6x +7
= -10x²-4x² +5x-6x -3+7
= -14x² - x + 4
The cost to rent a moving yan for a day is an initial cost of $29 plus $0.35 per mile driven, Find a function to model the cast of the moving van rental
based on the initial cost and miles driven
Answers
Hello!
miles driven = x
the initial cost = 29
f(x) = 29 + 0.35x
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator
4 : 2.4
Answers
Answer:
4:2.4 = 4/2.4
= 40/24 = 5/3 = 1 1/3
Solve the inequality c+2/5≥11/5, and write the solution in interval notation
Answers
Answer:
[9/5,∞)
Step-by-step explanation:
Rearrange variables to the left side of the equation: c ≥ 11/5-2/5
Calculate: c ≥ 9/5
Express solution set in interval notation: [9/5,∞)
Help on this math question please explain how you got the answer
Answers
Answer:
Store C has the lowest price of $7.00
Step-by-step explanation:
Store A's sale gets you 15% off the shoes. 15% of 35 is $25.50
Store B's sale gets you $5.00 off the shoes. $35.00 - $5.00 = $30.00
Store C's sale gets you 1/5 off the shoes. 1/5 of $35.00 is $7.00
That means that the only true statement is the Store C's shoes are $7.00
Hope this helps you for next time you get a problem like this.
8. Given that DAB and DCB are right angles and BDC = 55°, what is m CAD?
(The figure is not drawn to scale.)
A. 290°
B. 220°
C. 345°
D. 330°
Answers
Answer:
d
Step-by-step explanation:
d
Solve the following questions: 17 x 10 = 24 x 100 = 6 x 1000 =
Answers
Answer:
17 x 10= 170
24 x 100= 2,400
6 x 1000= 6000
Step-by-step explanation:
A company makes paper labels for paint cans. As shown below, cach can is in the shape of a cylinder with a height of 9 cm and a radius of 3 cm. The paper labelis wrapped around the can and covers only the side of the can (not the top or bottom). If the company has a total of 8138.88 cm^2 or paper available, how manylabels can be made? Use 3.14 for x, and do not round your answer.
Answers
Given:
Height of cylinder, h = 9 cm
Radius, r = 3 cm
Total amount of paper the company has = 8138.88 cm²
Let's find the number of labels that can be made given that the label covers only the side.
Here, we are to apply the formula for the surface area of a cylinder.
We have:
\(SA=2\pi rh+2\pi r^2\)The 2πr² represents the area of the top and bottom circle of the cylinder.
Since the label covers only the side, we are to exclude the 2πr².
Hence. we have:
\(SA_{label}=2\pi rh\)WHere:
r = 3 cm
h = 9 cm
Thus, we have:
\(\begin{gathered} SA_{label}=2*3.14*3*9 \\ \\ SA_{label}=169.56\text{ cm}^2 \end{gathered}\)Now, the number of labels they can make is:
\(\begin{gathered} \text{ number of labels = }\frac{8138.88\text{ cm}^2}{169.56\text{ cm}^2} \\ \\ \text{ number of labels = 48} \end{gathered}\)Therefore, the company can make 48 labels.
ANSWER:
48 Labels
Mrs. Rockwell lost money on an investment at a rate of $4 per day. What is the change in her investment, due to the lost money, after 4 weeks?
Answers
Answer:
112.
Step-by-step explanation:
In four weeks there are 28 days. 4 times 28 is 112.
how do you graph a consistent independent system of linear equations?
Answers
In graphing a system of linear equations, the following steps must be followed:
I. Assume values for the independent variable (x-values) to obtain corresponding y-values
II. Plot the coordinates obtained from I above
III. Draw a straight line through the points plotted in II above
IV. Repeat steps I-III for all the other linear equations
V. The solution is obtained by the point of interception of the straight lines
For example, if we are to plot the graph for the system of linear equations below:
\(\begin{gathered} y=2x-3 \\ y=-x+3 \end{gathered}\)For Desmos, we will proceed to input the function into the space provided as shown below:
What is the value of the expression 10 - 1/2 ^ 4 . 48
Answers
Answer:
9.72
Step-by-step explanation:
3^5/5^2
= 9 18/25
=9.72
A certain bacteria doubles every day. If there were 400 in original culture, how many would be present after 3 days?
Answers
ANSWER
\(3200\text{ bacteria}\)EXPLANATION
Initially, there are 400 bacteria in the culture and the culture doubles every day.
This describes an exponential function with an initial value of 400 and a factor of 2 (since it doubles):
\(y=a\cdot b^x\)where a = initial number = 400
b = factor = 2
x = number of days
Therefore, after 3 days, we have that the amount of bacteria that would be present is:
\(\begin{gathered} y=400\cdot2^3 \\ y=3200 \end{gathered}\)Use the graph to answer the question.
graph of polygon ABCD with vertices at 0 comma 0, 5 comma 2, 5 comma negative 5, 0 comma negative 3
Determine the coordinates of polygon A′B′C′D' if polygon ABCD is rotated 180°.
A′(0, 0), B′(−2, 5), C′(5, 5), D'(3, 0)
A′(0, 0), B′(2, −5), C′(−5, −5), D'(−3, 0)
A′(0, 0), B′(−5, −2), C′(5, −5), D'(3, 0)
A′(0, 0), B′(−5, −2), C′(−5, 5), D'(0, 3)
Answers
The answer is none of the options provided. The correct coordinates for C' are (0, 10).
To determine the coordinates of polygon A′B′C′D′ if polygon ABCD is rotated 180°, we need to find the coordinates of each vertex after the rotation.
To rotate a point (x,y) by 180°, we can use the following formulas:
x' = -x
y' = -y
Using these formulas, we can find the coordinates of each vertex after the rotation:
A′(0, 0) remains the same since the origin is the same before and after the rotation.
B′(−2, 5) can be found by rotating point B(5, 2):
x' = -5
y' = -2
So, B′ has coordinates (-5, -2) which can be translated 3 units left and 3 units up to get (-2, 5).
C′(5, 5) can be found by rotating point C(5, -5):
x' = -5
y' = 5
So, C′ has coordinates (-5, 5) which can be translated 5 units right and 5 units up to get (0, 10).
D′(3, 0) can be found by rotating point D(0, -3):
x' = 0
y' = 3
So, D′ has coordinates (0, 3) which can be translated 3 units right to get (3, 3).
Therefore, the coordinates of polygon A′B′C′D′ after the rotation are:
A′(0, 0), B′(−2, 5), C′(0, 10), and D′(3, 3).
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En la ecuación línea 64x-8y=80, el valor de la pendiente (m) y el valor del intercepto (b). (Sugerencia: despejar para la variable Y)
Answers
Sumando 8y a la ecuación dada tendremos que:
\(\begin{gathered} 64x-8y+8y=80+8y, \\ 64x=80+8y\text{.} \end{gathered}\)Restando 80 a la ecuación anterior tendremos que:
\(\begin{gathered} 64x-80=80+8y-80, \\ 8y=64x-80. \end{gathered}\)Finalmente, dividiendo la última ecuación por 8 tendremos que:
\(\begin{gathered} \frac{8y}{8}=\frac{64x-80}{8}, \\ y=8x-10 \end{gathered}\)Respuesta: La pendien
Charges for advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is a percentage of the population of 110 million TV households. The CBS television show 60 Minutes recently had a rating of 7.8, indicating that 7.8% of the households were tuned to that show. An advertiser conducts an independent survey of 100 households and finds that at least b+1 were tuned to 60 Minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting at least 5+1 tuned to
60 Minutes.
Answers
The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.
How to calculate the probabilityP(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)
P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)
Using a calculator or software, we can find that:
P(X <= 4) = 0.000203
This means that the probability is 0.02%.
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Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?
please explain step by step! 100 points!!
Answers
Answer:
First you want to multiply 13.25 by 40 meters. Your answer will be 530. Once you get your answer you will have to label it. 13 x 40 = 520 x 0.25 530 Hope this helps
can someone help me with this
Answers
NO LINKS!! URGENT HELP PLEASE!!!
9. Find the equation of the PARABOLA with a vertex at (-2, 6) and passing through the point (1, -3)
Answers
Answer:
y= -x²-4x+2
Step-by-step explanation:
write in vertex form
a(x-h)²+k
in our case h = -2 and k= 6
y=a(x+2)²+6
now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a
-3= a(1+2)²+6
-9=9a
a= -1
thus the formula is -(x+2)²+6
generally, teachers want things in standard form, so expand the exponent and simplify.
-(x²+4x+4)+6
y= -x²-4x+2
Answer:
\(y = -x^2 - 4x + 2\)
Step-by-step explanation:
The equation of a parabola in vertex form is:
\(y = a(x - h)^2 + k\)
where (h, k) is the vertex of the parabola.
In this case, the vertex is (-2, 6), so h = -2 and k = 6.
We also know that the parabola passes through the point (1, -3).
Plugging these values into the equation, we get:
\(-3 = a(1 - (-2))^2 + 6\)
\(-3 = a(3)^2 + 6\)
-9 = 9a
a = -1
Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:
\(y = -1(x + 2)^2 + 6\)
This equation can also be written as:
\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)
3x-1/4y=-2 solve for y
Answers
Answer:
y= 1/4(2+3x)
Step-by-step explanation:
The solution of the expression for the value of y is y = 8 + 12x.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression is 3x-1/4y=-2. The value of y will be calculated as below:-
3x-1/4y=-2
-(1/4)y = -2 - 3x
y = 4 ( 2 + 3x)
y = 8 + 12x
Therefore, the solution of the expression for the value of y is y = 8 + 12x.
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AA.1 Solutions to inequalities P9N
Which of the following are solutions to the inequality below? Select all that apply.
3 ≤ 47
x = 24
Submit
x = 51
X = 6
X = 99
Answers
Answer: 3 ≤ 47
Step-by-step explanation:
The inequality given is 3 ≤ 47.
To determine the solutions to this inequality, we need to find the values of x that satisfy the inequality.
Looking at the options provided:
x = 24: This is not a solution because 24 is less than 47.
x = 51: This is a solution because 51 is greater than or equal to 47.
x = 6: This is not a solution because 6 is less than 47.
x = 99: This is a solution because 99 is greater than or equal to 47.
Therefore, the solutions to the inequality 3 ≤ 47 are x = 51 and x = 99.
Explain the difference between solving an equation with one radical and solving an equation with more than one radical.
Answers
Answer:
A radical equation is an equation in which a variable is under a radical. To solve a radical equation: Isolate the radical expression involving the variable. If more than one radical expression involves the variable, then isolate one of them.
Step-by-step explanation:
PLS MAKE ME AS BRAINLIST
Answer: When solving an equation with one radical, you isolate the radical on one side and then square each side. When there is more than one radical expression in an equation, you isolate one of the radicals and then square each side. Then, you isolate the other radical and square each side. In both cases, once you have eliminated all radical signs, you solve for the variable.
Step-by-step explanation: This is the possible answer given on edg.
Find the perimeter of the triangle in the picture
Answers
Answer:
6x - 8
Step-by-step explanation:
perimeter of a triangle is equal to adding all of the sides togetherso, x-2 + 2x +1 + 3x - 7collect like terms, x + 2x + 3x - 2 + 1 - 76x - 8Tashi likes teenagers but hates children, he likes running but hates walking, he likes
swimming but hates the water, he likes trees but hates flowers, he likes jeeps but hates cars
and he likes beef but hates pork. From the following what does Tashi like?
1.Onions
2.Rabbits
3.Minivans
4.Chicken
Answers
Answer:
Chickens
Step-by-step explanation:
The 4th one I'm sorry if my answers wrong i tried to understand it and thats what i got
Determine the surface area and volume. Note: The base is a square.
Answers
Answer:
volume=60cm3, surface area=96cm2
Step-by-step explanation:
volume=1/3×(6×6)×5
=60cm3
surface area= 4(1/2×6×5)+(6×6)
=96cm2
A company produces two products: A and B. The relative market values at the split-off point are not available. For every $300,000 of joint costs, Product A produces 10,000 pounds, and Product B produces 40,000 pounds. The amount of joint costs allocated to Product B using the physical quantities method is $
Answers
The joint costs allocated to Product B is $240,000.
What is amount of joint costs allocated to Product B?We must allocate joint costs based on the relative physical quantities produced by each product.
The total physical quantity produced by both products is:
= Quantity of A + Quantity of B
= 10,000 + 40,000
= 50,000 pounds
We will calculate the proportion of physical quantity produced by product A:
= Quantity of B / Total physical quantity
= 40,000 / 50,000
= 0.8
The amount of joint costs allocated to Product B is will be
= Total joint costs x Proportion of
= $300,000 x 0.8
= $240,000.
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Tia uses 3/4 cup of pumpkin to make 1 1/4 pounds of dog treats. How much pumpkin does Tia use to make 1 pound of treats?
Answers
Answer:
4/5 cups to make 1 pound of dog treats
Step-by-step explanation:
3/4 cups : 1 1/4 pounds
x cups : 1 pound
Cross multiply
3/4 * 1 = 1 1/4 * x
x = 3/4 / 1 1/4
= 3/4 / 5/4
= 3/4 * 4/5
= 3/5 cups
a studio has 1600 square feet of floor space. the studio then buys the neighboring building and expands by 75%
Answers
Answer:
the total new area is 2800 ft²
Step-by-step explanation:
original area: 1600 ft²
new expanded area: 1600 ft² + 75% of 1600 ft²
new expanded area = 1600 ft² + 0.75 × 1600 ft²
new expanded area = 1600 ft² + 1200 ft²
total new area = 2800 ft²