Answer:
30°
Step-by-step explanation:
You want the angle of elevation to a point 2900 feet up that is 5800 feet distant on a straight line.
SineThe sine of the angle is the ratio of the height to the straight-line distance.
sin(θ) = h/d = 2900/5800 = 1/2
θ = arcsin(1/2) = 30°
The angle of elevation is 30° from the base to the top.
Answer: When doing a problem like this I always draw an example so I can see it. If you do that you see a right triangle with the hypothenuse, 2500 feet, is the distance from the top to the base. The opposite side is 1250 feet. Then remember sine= o/h, (opposite side over hypothenuse). So divide 1250/2500 and you get .5 Now take your calculator and use "inv" or sin-1 button to get the answer of the angle. x = 30
sinθ 1250/2500 = 1/2; θ = sin-1(1/2) = 30°
Step-by-step explanation:
fast as you can. point slope form. algebra 1)
Answer: Y=mx+b
Step-by-step explanation:
you're selling vegetarian sandwiches for $3 each and turkey sandwiches for $4 each. you sell 25 sandwiches for a total of $85. how many vegetarian and how many turkey sandwiches did you sell
Answer:
You sold 15 vegetarian sandwiches and 10 turkey sandwiches.
Step-by-step explanation:
First, let's call the number of vegetarian sandwiches sold "V" and the number of turkey sandwiches sold "T".
We can set up the following equation: 3V + 4T = 85
Next, we need to find the values of V and T that satisfy this equation. To do this, we can use the fact that V and T must be whole numbers since we cannot sell a fraction of a sandwich.
We can start by trying V = 1 and T = 6. Plugging these values into the equation, we get: 3(1) + 4(6) = 18 + 24 = 42
Since 42 is not equal to 85, this means that V and T cannot both be 1 and 6.
We can try other values of V and T that are whole numbers until we find a combination that satisfies the equation. One way to do this is to use trial and error.
For example, we can try V = 2 and T = 5, which gives us: 3(2) + 4(5) = 6 + 20 = 26 This is still not equal to 85, so we can try other values. We can also use the fact that V + T = 25 (since we sold a total of 25 sandwiches) to help us solve the equation.
If we set V + T = 25, then we can rewrite the original equation as: 3V + 4(25 - V) = 85 Solving for V, we get: 3V + 100 - 4V = 85 Combining like terms, we get: -V = 15 Dividing both sides by -1, we get: V = 15
Since V + T = 25, this means that T = 25 - 15 = 10
Therefore, we sold 15 vegetarian sandwiches and 10 turkey sandwiches.
If 1.5 liters of washing up liquid is 2.70$ find the cost of 1 liter
The cost of one liter of washing up liquid would be = $1.8
What is liters?Liters is a variable that is can be used to denote the measurement of a liquid.
The quantity of the washing up liquid that was given= 1.5 liters.
The cost of 1.5 liters of washing up liquid =$2.70
If 1.5 L = 2.70
1 L = X
Make X the subject of formula;
X = 1× 2.70/1.5
X = $1.8
Therefore, the cost of one liter of washing up liquid would be = $1.8
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If you roll a fair die, what is the probability you will roll a 5 or a number less than 3?
Answer:
1/2
Step-by-step explanation:
Since 5 is one of the six possible numbers available, rolling a 5 is a 1/6 probability.
Since rolling a number less than 3 means rolling a 1 or 2, rolling a 1 or 2 is a 2/6 probability.
Add those probabilities up since you can get either of those outcomes and you get 1/6+2/6=3/6
3/6=1/2
Please help! Division of Polynomials, Find the quotient and remainder.
First:
Quotient: [tex]2x^{2} -11x+58[/tex]
Remainder: [tex]-294[/tex]
Second:
Quotient: [tex]x^{3} -5x^{2} +17x-83[/tex]
Remainder: [tex]422[/tex]
Third:
Quotient: [tex]2x-3[/tex]
Remainder: [tex]12[/tex]
An isosceles triangular prism has a triangular
end with a base of 16 feet, an altitude of 6 feet,
and a side length of 10 feet. The height of the
prism is 18 feet. What is the surface area of the
prism?
a- 520
b- 850
c- 744
d- 635
An isosceles triangular prism, its surface area becomes: 568 feet²
What is an isosceles triangular prism?The faces of a polyhedron called an isosceles triangular prism are made up of polygons. It has six edges, five faces, and five vertices. Isosceles triangles make up the two portions at the base that face each other and rectangles make up the vertical faces of the five faces.
where the isosceles triangle's base has equal sides measured in "a" units, each triangle's base measured in "b" units, the triangle's height measured in "h" units, and the length of the congruent rectangles measured in "l" units.
The surface area of an isosceles triangular prism is:
Surface area = (b × h) + (2× l × a) + (l × b)
here, b = the base of each of the triangle = 16 feet
h = the height of the triangle = 18 feet
l = length of the congruent rectangles = 10 feet
a = isosceles triangle in the base have the equal sides be "a" units = 6 feet
Now, Surface area = (16 × 18) + (2 × 10 × 6) + (10 × 16)
or, Surface area = 568 feet²
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one number is 431 more than the other, their sum is 679, find the two numbers
Answer:
Step-by-step explanation:
Let's call the two numbers x and y. We can set up the following equation to represent the problem:x + y = 679y = x + 431Substituting the second equation into the first equation, we get:x + (x + 431) = 679Combining like terms, we get:2x + 431 = 679Subtracting 431 from both sides, we get:2x = 248Dividing both sides by 2, we get:x = 124Substituting this value back into the equation y = x + 431, we get:y = 124 + 431 = 555Therefore, the two numbers are 124 and 555.
What’s the force on an object with a mass of 10 kg and an acceleration of 4 m/s
The force on the object is 40N
What is force?Force can be described as the influence that can change the motion of an object.
It is seen as an external agent having the capability of changing a body's state of motion or rest.
It causes b in velocity of an object with mass , that is, to accelerate. Force can also be described as either a push or a pull.
It is described as a vector quantity, that is, it has both magnitude and direction.
The formula for determining force is given as;
F = ma
Where;
f is the force on the objectm is the massa is the accelerationSubstitute the values
F = 10(4)
F = 40N
Hence, the value is 40N
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Please help asap ill give brainlest
The solutions to the equation word problems are as follows;
1) Amount jane will have is 50 + 2d
2) Amount Elis will have = 24 + 6d
3) The equation is; 50 + 2d = 24 + 6d
4) Amount each has saved = $63
How to solve Algebra Word Problems?We are given that;
Amount Jane has = $50
Amount Elis has = $24
Amount saved by Jane each day = $2
Amount saved by Elis each day = $6
1) After d days of saving, amount jane will have is;
A = 50 + 2d
2) After d days of saving, amount Elis will have is;
A = 24 + 6d
3) The equation that will be used to show when Joan and Elis would have saved same amount is;
50 + 2d = 24 + 6d
4) 50 + 2d = 24 + 6d
26 = 4d
d = 26/4
d = 6.5 days
Amount each has saved = 50 + 2(6.5) = $63
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if a point is characterized as having both a nonzero x and y coordinate and oppositely signed coordinates, then the point must be in which of the labeled quadrants in the standard xy coordinate plane?
The labeled quadrants in the standard xy coordinate plane is Quadrant II
What is Quadrants?
The intersection of the x-axis (the horizontal number line) and the y-axis in the cartesian system divides the coordinate plane into four equal pieces (the vertical number line). Because each of these four areas occupies a quarter of the entire coordinate plane, they are collectively referred to as quadrants.
Concept:
The x and y coordinates are both positive in quadrant I. In quadrant II, the x and y coordinates are oppositely positive. The x and y coordinates are both negative in quadrant III. The x-coordinate is positive and the y-coordinate is negative in quadrant IV.
The origin, or the point where the x- and y-axes connect, is where both the x and y coordinates are zero (0, 0).
The point is in the first quadrant if both x and y are positive. If both x and y are negative, the point will be in the second quadrant. In the third quadrant if both x and y are negatives, the point is located.
The labeled quadrants in the standard xy coordinate plane is Quadrant II
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write the equation of a parabola whose vertex is (-3,4) and passes through: (2,8). Put in vertex form.
The equation of the parabola that has a vertex (-3,4) and passes through (2,8) is 25y = 4x² + 24x + 13.
What is parabola?An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the DirectX and focus, respectively.
Given:
The vertex = (-3, 4) and the point = (2, 8)
Write the equation using the standard form given below,
[tex]y = a (x - h)^2 + k[/tex]
y = a[x - (-3)]² + 4
y = a(x + 3)² + 4
Now put the coordinates,
8 = a (2 + 3)² + 4
8 = 25a + 4
a = 4 / 25
Put the value of a in the above equation,
y = 4/25 × (x + 3)² + 4
25y = 4 (x² + 9 +6x) + 100
25y = 4x² + 36 +24x + 100
25y = 4x² + 24x + 13
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Ryanne is 14. Her brother's age is three more than half her age. How old is her brother?
OA 7
OB. 8.5
OC. 10
OD. 31
Question
Answer:
10 years old
Step-by-step explanation:
what is the z-score of a value 20 from a binomial distribution with 50 trials and probability 0.76 of success? round your answer to three decimal places. incorrect answer:
z-score of a value is -5.96
What is z-score in binomial distribution?
The Z score represents the number of standard deviations above or below the mean. The Z score of the mean is 0 by definition.
What is Probability?
The area of mathematics known as probability explores potential outcomes of events as well as their relative probabilities and distributions.
Given,
A random variable, let's call it X, has parameters that fit the Binomial distribution: n (number of trials) = 50 and p (success probability) 0.76.
We must ascertain the z-score (Z) of the value 20 = that this random variable X has chosen.
Now, for a random variable, say X, its z-score (Z) is defined as ,
Z = (X - mean of X)/ Standard deviation of X
A binomial random variable with the parameters once more n and p, its mean is given as np and its standard deviation is given as [tex]\sqrt{n*p*(1-p)}[/tex]
The standard deviation of X is provided as [tex]\sqrt{50*0.76*0.24}[/tex] = [tex]\sqrt{9.12}[/tex] = 3.0199933 while the mean of X is given as 50*0.76 = 38.
Therefore, the required z-score (Z) for X = 20, is given as,
Z = 20-38/3.0199933
Z= -5.9602781238
Z= -5.96 that is the necessary z-score.
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what is 22 divided by a number s
Answer:
22 divided by 2 is 11
Step-by-step explanation:
Part A: Given the function g(x) = |x-5 ,describe the graph of the function, including the vertex, dom
Part B: If the parent function f(x) = |x| is transformed to h(x) = |x| + 3, what transformation occurs from
The vertex domain of g(x)=|X-7| is (7,0) (-∞,∞) and (0,∞) and the function f(x)=|x| is vertically shifted.
What is graph of the function?In mathematics, the set of ordered pairs with the (x,y)(x,y) is known as the graph of a function, where f(x)=y. x and f are Cartesian coordinates of points in two-dimensional space, and in the typical scenario where they are real numbers, they constitute a subset of this plane.Instead of the pairs ((x,y),z) and ((x,y),z) as in the definition above, the graph for functions of two variables, i.e. functions whose domain consists of pairs (x,y), (x,y), is typically the set of ordered triples (x,y,z) and (x,y,z) where A surface for a continuous real-valued function of two real variables, this set is a subset of three-dimensional space.Hence, The vertex domain of g(x)=|X-7| is (7,0) (-∞,∞) and (0,∞) and the function f(x)=|x| is vertically shifted.
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2 √ 3 + 3 √ 3 can you help me solve this equation in simplest form
The simplest form of [tex]2\sqrt{3} + 3\sqrt{3}[/tex] is found to be 8.66025403784 .
What is the simplest form of a equation ?A fraction is in its simplest form when the numerator and the denominator have no common factors besides one.
Reducing equation is a method of rewriting the equation in a simpler form. Certain equations in mathematics are not in the form of linear equations but they can be put in the form of linear equations by performing some mathematical operations on them. After reduction of these equations in linear form they can be solved and the value of unknown can be calculated easily.
Given the equation is;
[tex]2\sqrt{3} + 3\sqrt{3}[/tex]
Now solving it ,
[tex]2\sqrt{3} + 3\sqrt{3}[/tex]
By adding this we get,
[tex]5\sqrt{3}[/tex] (∵ [tex]\sqrt{3}[/tex] is common in both )
= 8.66025403784
The decimal (or) simplified value of [tex]2\sqrt{3} + 3\sqrt{3}[/tex] is 8.66025403784.
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What does y equal, in this picture with 30 60 90 triangles?
The value of y= 5.49≈ 5.5cm
What is 30-60-90 traingle?
The 30-60-90 triangle is cut straight through the middle along its altitude, like one half of an equilateral triangle. Its name is derived from its three angles of 30 degrees, 60 degrees, and 90 degrees. Any triangle with angles of 30-60-90 will look like this: The hypotenuse is always twice as long as the shortest leg, and the length of the long leg can be calculated by multiplying the short leg by the square root of three. The shortest leg is across from the 30-degree angle.
By 30-60-90 triangle rule,
Side across 60° angle = x
Hypotenuse side = 2x= 15
Side across 30° angle = x√3
By solving,
2x= 15
x= 7.5cm
So side across 60° angle= 7.5 cm
Side across 30° angle = 7.5×√3
= 7.5× 1.732= 12.99≈ 13cm
As the figure given us square so,
13= 7.5+y
y= 13-7.5
y= 5.5 cm
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A cereal box says that now it contains 20% more originally it came with 18.5 ounces of cereal how much cereal does the box come with now
Answer:
Step-by-step explanation:
Step-by-step explanation: the original weight of a cereals is ounces. Now according to question, new weight of cereals is more of original weight of cereals. Therefore, New weight of cereals will be formulated as Hence, the new weight of cereals is ounces.
Solve for x
O4
O5
O-10
O12
Answer:
x = 5
Step-by-step explanation:
Firstly, we know that corresponding angles are the same. So we can say that 25x + 5 = 26x
Let’s simplify this equation:
25x + 5 =26x
-25x -25x
5 = x
Therefore, x = 5.
the table shows the number of stickers three friends have, Hannah has fewer stickers than Marco but more stickers than Addison. how many stickers could Hannah have?
a car and a motorcycle leave at noon from the same location, heading in the same direction. the average speed of the car is mph slower than twice the speed of the motorcycle. in two hours, the car is miles ahead of the motorcycle. find the speed of both the car and the motorcycle, in miles per hour.
The speed of car is 50 miles per hour and the speed of the motorcycle is 40 miles per hour.
Let M = speed of the motorcycle.
Hence, speed of the car = 2M - 30.
Distance covered = Time taken x Speed.
Hence in 2 hours,
Distance covered by motorcycle = 2M
Distance covered by car = 2(2M-30).
Given, the car is 20 miles ahead of the motorcycle.
Hence,
2(2M-30) = 2M + 20
4M-60 = 2M + 20
2M = 80
M = 40
2M-30 = 2(40)-30 = 80-30 = 50
Therefore, speed of motorcycle is 40 miles per hour and speed of car is 50 miles per hour.
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Given 4 and one tenth times negative 4 times 5 over 12, determine the product.
The word problem 4 and one tenth times negative 4 times 5 over 12 have a product of negative 8 and one fifth
How to find the product of the word problemMultiplication is one of the basic mathematical operator which is used to solve the given problem. It is the inverse of division. the result of multiplication is called the product
Rewriting the word problem 4 and one tenth times negative 4 times 5 over 12 to figures
4 1/10 * -4 * 5/10
solving the equation
= 4 1/10 * -4 * 5/10
= 41/10 * -4 * 5/10
= -41/5
= -8 1/5
The product of the multiplication is negative 8 and one fifth
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How can we use the formula M= 58h + 135 to determine the mile marker that Sam passed at hour 6
Sam passed the marker of 483 miles, in 6 hours.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
An expression is given as M = 58h + 135. shows how many miles the same has traveled for h hours,
To evaluate the mile marker that sam passed at 6 hours, substitute the value with h in a given expression.
M = 58×6 +135
Simplifying the above expression gives the mile marker
M = 483 miles
Thus, the required miles are 483.
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8. a factory makes silicon chips for use in computers. it is known that about 90% of the chips meet specifications. every hour a sample of 18 chips is selected at random for testing and the number of chips that meet specifications is recorded. what is the approximate mean and standard deviation of the number of chips meeting specifications? (a) u
The approximate mean and standard deviation of the number of chips meeting specifications are: μ = 16.2; σ = 1.273
In this question, we have been given a factory makes silicon chips for use in computers. it is known that about 90% of the chips meet specifications. every hour a sample of 18 chips is selected at random for testing and the number of chips that meet specifications is recorded.
we need to find the approximate mean and standard deviation of the number of chips meeting specifications
Since 90% meet specifications we can say p = 0.9
So, q = 1 - p
q = 1 - 0.9
q = 0.1
here, a sample size is n = 18
So, the mean would be,
μ = np
μ = 18 * 0.9
μ = 16.2
And the standard deviation would be,
σ = √npq
σ = √(18 * 0.9 * 0.1)
σ = 1.273
Therefore, the mean (μ) = 16.2 and the standard deviation (σ) = 1.273
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Graph the line −2x − 3y = 12.
The graph shows a line through the points 0 comma 4 and 6 comma 0.
The graph shows a line through the points 0 comma negative 4 and 6 comma 0.
The graph shows a line through the points 0 comma 4 and negative 6 comma 0.
The graph shows a line through the points 0 comma negative 4 and negative 6
Answer:
its d I did the test hope its helps
Need help and fast please and thank you.
y= 0.141(15) + 0.842 =
y = 2.115 + 0.842
= 2.957
no explanation
Hailey goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 8% is applied to the bill. Hailey decides to leave a tip of 24% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Hailey paid.
The expression in terms of xx that represents the total amount that Hailey paid is (2912/625)xx .
What is business Mathematics?
Business mathematics is the branch of mathematics utilized by businesses to track and coordinate their operations. Accounting, inventory management, marketing, sales forecasting, and financial analysis are all areas where commercial businesses apply mathematics.
According to Question:
let the the subtotal on the bill was xx dollars
A tax of 8% is added on bill then Bill becomes xx + 8% of xx
The of 8% on bill = (108/100)xx
Now the Final bill = xx + (108/100)xx
= (208/100)xx
Hailey decides to leave a tip of 24% on the entire bill (including the tax)
So the Total Amount = (208/100)xx + 24% of Final bills
⇒
24% of (208/100)xx = (208/100)(124/100)xx
The Total amount = (208/100)xx +(208/100)(124/100)xx
Let the Amount be A
hence, expression in terms of xx that represents the total amount that Hailey paid is A = (208/100)xx +(208/100)(124/100)xx
⇒ A = (52/25)xx +(52/25)(31/25)xx
⇒ 625A = 625((52/25)xx +(52/25)(31/25)xx)
⇒ 625A = 1300xx + 1612xx
⇒ 625A = 2912xx
⇒ A = (2912/625)xx
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3 ^ 21 is how many time as great value of 3 ^ 19
The exponent [tex]3^{21}[/tex] is 9 times greater than the exponent [tex]3^{19}[/tex]
What are Exponents?
Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.
Solution:
To solve this type of question all we need to know are the Rules of Exponents with their help any question of this type can be solved
Since we are required to find the number of times the value os greater so we will divide the numbers
3^21 / 3^19
By rule of exponents if a^b/a^c then we can write it as a^(b-c)
Similarly 3^21 / 3^19 = 3^(21 - 19) = 3^2 = 9
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Solve the equation -3.5(x-14)+9x=5.5x + 49. Which statement is true ?
Answer:
Step-by-step explanation:
Answer:
-3.5(x-14)+9x=5.5x + 49 is a TRUE statement that equals 0. It has infinite solutions.
Step-by-step explanation:
Enter the measurement of the vehicle part.
Answer:
2 1/4
Step-by-step explanation:
I know bc its basic math
