Cross - division step
Answer:
150
Step-by-step explanation:
Given problem,
→ (3/4) × 200
Let's solve the problem,
→ (3/4) × 200
→ (3 × 200)/4
→ 600/4
→ 150
Hence, solution is 150.
In the diagram below, the length of segment XY can be written as √
N for some positive integer N. Find N.
The value of √N is 3.16159
What is the Pythagoras theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a² + b² = c².
Given here: A quadrilateral WXYZ with ∠Z=75 and ∠X=105
Let P be a point on ZW such that ZP=x and WP=4-x, then we form a right-angled triangle ΔZPY with tan 15°=x/PY
∴ PY=x/tan 15
=3.732x
Now using Pythagoras' theorem we get ZY as
[tex]\sqrt{13.927x^2+x^2} \\=\sqrt{14.92x^2}\\ =3.862641x[/tex]
Now let's connect the diagonal ZX we get the right triangle ZWX
Thus using Pythagoras' theorem we get
ZX=[tex]\sqrt{4^2+4^2}[/tex]
=4√2
Again let Q be an extension such that YQ=4-x & ∠YXQ=75°
Thus Sin 75=4-x/√N
√N=4-x/0.965923
squaring both sides we get N=(4-x)²/0.9330127........(1
Now using the Pythagoras theorem in ΔZYX we get
√N=
[tex]\sqrt{ZX^2-ZY^2} \\=\sqrt{32-14.92x^2} \\[/tex]
⇒N=32-14.92x²..,.......2)
Thus equation two values of N we get
(4-x)²/0.9330127=32-14.92x²
16-8x+x²=29.8564-13.920549x²
14.921x²-8x-13.856=0
Thus using the quadratic formula we get the value of x as
x= 8±29.85 /29.84
x=1.2684 (∵ Distance cannot be negative)
∴ Value of N=32-14.92×1.2684
N=13.075
√N=3.6159
Hence, The value of √N is 3.16159
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What is inverse graph in graph theory?.
If the graphs of both functions are symmetric with respect to the line y = x, then we say that the two functions are inverses of each other.
The inverse function is represented by f⁻¹ with regards to the original function f and the domain of the original function becomes the range of the inverse function.
The range of the given function becomes the domain of the inverse function the injective function is the reflection of the original function with reference to the line y = x and is obtained by swapping (x, y) with the (y, x).
There are a few steps to find an Inverse Function:
For the given function f(x) = ax+b, replace f(x)=y, to obtain y = ax + b.Interchange the x with y and the y with x in the function y=ax+b to obtain x=ay+b.Here solve the expression x = ay + b for y. And we obtain y = (x - b/aFinlly replace y = f-1(x), and we have f-1(x) = (x - b)/a.To know more about inverse graph function:
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At the beginning of the year, Salma had $35 in savings and saved an additional $8
each week thereafter. Henry started the year with $95 and saved $5 every week. Let
S represent the amount of money Salma has saved t weeks after the beginning of the
year and let H represent the amount of money Henry has saved t weeks after the
beginning of the year. Write an equation for each situation, in terms of t, and
determine the number of weeks after the beginning of the year until Salma and Henry
have the same amount of money saved. PLEASE ANSWERR
Answer:
20 weeks
Step-by-step explanation:
Salma's savings can be represented by the equation S = 35 + 8t, where t is the number of weeks after the beginning of the year.
Henry's savings can be represented by the equation H = 95 + 5t
To determine the number of weeks after the beginning of the year until Salma and Henry have the same amount of money saved, we need to set the two equations equal to each other and solve for t:
35 + 8t = 95 + 5t
3t = 60
t = 20
So it would take Salma and Henry 20 weeks after the beginning of the year to have the same amount of money saved.
Solve each equation:
1. (2y+5)(y-4)=0
2. (y-3)(y+2)=0
3: 2z^2+20z=0
4: 9x^2=27x
Answer Quick!!!!
Answer:
(1) ... y1 = -2.5, y2 = 4
(2) ... y1 = -2, y2 = 3
(3) ... z1 = -10, z2 = 0
(4) ... x1 = 0, x2 = 3
Hope this helps <3
Step-by-step explanation:
Answer:
1. y= -5/2, 2
2. y= 3, -2
3. z= 0,-10
4. x= 0,3
Step-by-step explanation:
I need help on this question please And thank you7-5x+1
Answer: -5x+8
Step-by-step explanation:
add the like terms
Answer:
-5x+8
Step-by-step explanation:
You just have to isolate the 5x, and it has a "-" before it, so the 5x is a negative expression (-5x), then you do 7+1 that is 8.
Find each product mentally show the steps you used 3 x 3.9
What is the difference between exponential function and logarithmic function?.
Exponential functions and logarithmic functions are related but inverse of each other.
Exponential functions are used to model growth and decay, while logarithmic functions are used to model inverse growth and decay.
An exponential function is a function in the form of f(x) = b^x, where b is a positive constant called the base. The variable x is the exponent, and the value of the function is the result of raising the base to the power of x. For example, f(x) = 2^x is an exponential function. The graph of an exponential function is always increasing and never touches or crosses the x-axis, as long as b>1.
On the other hand, a logarithmic function is a function in the form of f(x) = log_b(x) or f(x) = ln(x), where b is a positive constant called the base (or e for natural logarithm) and x is the argument of the logarithm. The value of the function is the exponent to which the base must be raised to produce x. For example, f(x) = log2(x) is a logarithmic function. The graph of a logarithmic function is always decreasing and asymptotic to the x-axis.
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(0.2)•40
Helppppppppo
Match a recursive formula for the graph and identify the sequence as arithmetic or geometric.
Graph of a sequence
Arithmetic, t0=15
and tn=2.8+tn−1
where n≥1
.
Geometric, t0=15
and tn=2.8⋅tn−1
where n≥1
.
Arithmetic, t0=15
and tn=2.8⋅tn−1
where n≥1
.
Geometric, t0=15
and tn=2.8+tn−1
where n≥1
.
The recursive formula in this case is;
Arithmetic, t0=15
and tn=2.8+tn−1
where n≥1
Option A
What is a recursive formula?A recursive formula is a formula that defines a sequence of values in terms of its previous values. It provides a way of defining a sequence in a compact form, with each term of the sequence depending on one or more preceding terms.
In mathematics, recursive formulas are often used to define sequences. We can see that in this sequence, the first term is 15 and the common difference is obtained by simple subtraction .
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What is the ration of corresponding side lengths of 20:36
Answer:
5/9
Step-by-step explanation:
What are the 5 examples of solution?.
The 5 examples of solution are:
1. When we combine salt with water (often table salt), we create salt water. In this case, the solvent is water, and the solute is salt.
2. When sugar and water are combined, sugar water is created.
3. Several substances are dissolved in water to create mouthwash.
4. You may make iodine tincture by combining iodine crystals with alcohol.
5. In water, soda comprises sugar, carbon dioxide, color, and other ingredients.
Solvent and solute are combined to generate solutions. A solution is therefore a homogeneous mixture. Numerous solutions are available in our homes. Here is a short list:
1. Sugar and color are present in Kool Aid's water.
2. We make vinegar by combining acetic acid and water.
3. A solution of hydrogen peroxide between 3 and 6 percent is known as hydrogen peroxide solution.
4. This is created by combining water and hydrogen peroxide.
5. You can make detergent solution by combining detergent and water.
6. Window cleaner is made up of many chemicals in water with aroma.
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plEASE HELP I WILL GIVE 50 POINTS
Answer:r=175 this is for IXL I hope this helps
Step-by-step explanation:
r/-25 =-7
Multiply both sides of the equation by -25
-25 times r/-25=-25 time (-7)
Multiplying two negatives equals a positive: (-) times (-) =(+)
25•r/25=-25•(-7)
then
Cancel out the greatest common factor 25
R=-25 times (-7)
Also Multiplying two negatives equals a positive: (-) times (-) =(+)
r=25 times 7
Multiply the numbers 25•7
Then you get
R=175
What is the difference between the smallest 6 digit number with five different digits?.
The difference between the smallest 6-digit number with five different digits and the greatest 5-digit number with four different digits is 358.
The aim is to find the largest 5-digit number with four different digits and the smallest 6-digit number with five different digits, and then we need to find how many numbers are between these two values.
Let's start by finding the smallest 6-digit number with five different digits.
We know that 0 is the smallest digit that can not be used in the highest place value, so we will consider the next smallest digit, 1; therefore, it can be used in the highest place value.
Thus, we can create the required 6-digit smallest number with 0 and 1.
Hence, the smallest 6-digit number is 100234.
Now, we will discover the largest 5-digit number.
As we know, the largest digit is 9, which can be used anywhere. So, we will form the largest 5-digit number with the digit 9.
Thus, the largest 5-digit number is 99876.
Now, calculate the difference between these two numbers.
So, we can determine the difference between the smallest 6-digit number and the largest 5-digit number by subtracting the smallest from the largest.
Thus, we get,
⇒100234 - 99876
⇒358
Hence, 358 is the difference between the smallest 6-digit with five different digits and the largest 5-digit number with four different digits.
--The given question is incomplete; the complete question is
"What is the difference between the smallest 6-digit number with five different digits and the greatest 5-digit number with four different digits?"--
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Franco has enough paint to cover an area of approximately 226 square feet.
He needs to
paint a cylinder that is 5 feet long. What is the maximum
possible radius of the cylinder that can be covered by the paint?
A. 14.4 feet
B. 4 feet
C. 9 feet
D. 3.8 feet
The required radius of the cylinder that can be covered by the paint is 3.8 feet. Option D is correct.
How to find the radius?Franco has enough paint to cover an area of approximately 226 square feet. He needs to paint a cylinder that is 5 feet, and the maximum possible radius of the cylinder that can be covered by the paint is to determined.
Recall that a cylinder is defined as a 3D solid that keeps two identical bases joined by a curved surface, at a certain distance.
Here,
Franco has enough paint to cover an area of approximately 226 square feet.
Area of the cylinder = 226
πr²h = 226
h = 5 feet and π = 3.14
3.14 * 5 * r² = 226
r² = 226/15.70
r = √14.70
r = 3.80
Thus, the required radius of the cylinder that can be covered by the paint is 3.8 feet. Option A is correct.
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Good morning I need this done by an hour thanks!
what is the answer for this???
The solution set for the given inequality w + 43 ≤ 51 is; w ≤ 8. Hence,
11 ....NO.14 ......NO.7 ........YES.10 .......NO.What is the solution set for the inequality w + 43 ≤ 51?It follows from the task content that the solution set for the given inequality w + 43 ≤ 51 is to be determined and it's solutions be identified among the answer choices.
Given; w + 43 ≤ 51
w ≤ 51 - 43
w ≤ 8.
On this note, the only number which is a solution among the given answer choices is 7 as it is less than 8.
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Katie rolled a fair number cube, with face numbered 1 to 6, 200 time. She rolled the number 5, five time. What i the experimental probability of landing on landing on 5? How doe it compare to the theoretical probability of landing on 5?
The theoretical likelihood of receiving a 2 is 1/6, but the actual likelihood is 1/3.
They are divided by one-half.
The potential likelihood
The theoretical likelihood of receiving a 2 is 1/6, which is the ratio of the number of fortunate events to all possible outcomes.
The experimental likelihood
The experimental probability of an event occurring is the proportion of total times the experiment was conducted that an event occurred during the experiment.
in this case, is 6/12 or 1/2.
1/2 - 1/6 = 3/6 - 1/6 = 2/6 = 1/3
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Is 39 a perfect square?.
No, 39 is not a perfect square number because it can't be equal to square of any integer.
An integer that can be expressed as the square of another integer is called a perfect square. In other words, a perfect square is the square of an integer such as 1 = 1², 4 = 2², 9 = 3², 16= 4², , forward. Thus , perfect square formula is written as N = x², where x is any integer. I have the number 39 and I need to check if it is a perfect square. For this we can take the square root of this number. A number is a perfect square if its square root is an integer. So, √39 = √3×13
= 6.2449 ( using calculator)
Which is not an integer, so it is not a perfect square.
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how would you solve the following equation: x - 10 = 90
Answer:
x = 100
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. In this case, you will add 10 to both sides of the equation, to isolate x:
x - 10 = 90
x - 10 (+10) = 90 (+10)
x = 90 + 10
x = 100
x = 100 is your answer to the equation.
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What is the use of triangles 30 60 and 45 degrees?.
When drawing horizontal or vertical lines with a triangle, you need to use two triangles at the same time. You can draw lines at angles of 30, 45, 60, and 90 degrees by combining the two.
What features are shared by right triangles 30-60-90 and 45 45 90?Additionally, the values of the side lengths of this triangle are always inversely proportional to one another. and x2 is the side length that is in opposition to the 90-degree angle. likewise, the side length that is in opposition to the 90-degree angle is 72. Additionally, the side length at the opposite end of the 45-degree angle is 2.
How can the 30 triangle be used?Tips for Remembering the 30-60-90 Triangle Rule Remembering the ratio 1 is all it takes to remember the 30-60-90 triangle rules: √3 : 2, and being aware that the longest side length is always in opposition to the largest angle (90 degrees) and the shortest side length is always in opposition to the shortest angle (30 degrees).
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Why is triangle 180 degrees?.
A triangle is 180 degrees because the sum of the interior angles of any polygon is always equal to 180 degrees times the number of sides minus two.
A triangle is 180 degrees because the sum of the interior angles of any polygon (a closed shape with at least three straight sides) is always equal to 180 degrees times the number of sides minus two. This is known as the polygon angle sum theorem. In the case of a triangle, which has three sides, the sum of the interior angles is 180 degrees times one less than the number of sides, or 180 degrees times (3-2), which equals 180 degrees. Additionally, since a triangle is a three-sided polygon, and each angle in a triangle is connected by three straight lines, the sum of the three angles in a triangle must always add up to 180 degrees.
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How do you solve a linear system using multiplication?.
The elimination method is used to solve a linear system using multiplication.
Another strategy for resolving a set of linear equations is the elimination method. Here, we attempt to multiply either the "x" variable term or the "y" variable term by a constant amount in order to obtain the value of the other variable by having the "x" variable term or the "y" variable term cancel out.A linear equation is one in which the variable has the highest power of 1 in it.A linear equation has the formula Ax + B = 0, which is its standard form.where the slope is m and the y-intercept is c.To learn more about linear equations here
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Which expression is equivalent to
(-7 + 2i) + 6i- (11-15) ?
Select one:
O a.-18 + 23i
O b.-18-7i
O c. -4 +23i
O d. -4-7i
The equivalent expression of (-7 + 2i) + 6i- (11-15) is -3 + 8i.
How to find equivalent expression?Two algebraic expressions are said to be equivalent if their values obtained by substituting the values of the variables are same. In other words, equivalent expression are usually the same.
We can know the equivalent expression of (-7 + 2i) + 6i- (11-15) by simplifying it.
Hence, let's simplify (-7 + 2i) + 6i - (11 - 15) as follows:
Therefore,
(-7 + 2i) + 6i - (11 - 15) = -7 + 2i + 6i - 11 + 15
combine like terms
-7 + 2i + 6i - 11 + 15 = -7 + 15 - 11 + 2i + 6i
Hence,
-7 + 15 - 11 + 2i + 6i = -3 + 8i
Therefore,
(-7 + 2i) + 6i - (11 - 15) = -3 + 8i
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Lemon travels 35 miles per hour. How long does it take her to travel 315 miles? Provide and answer, in hours accurate to the nearest tenth.
Answer: 9 hours
Step-by-step explanation: To find the answer, I did:
315 / 35 = ? * 1
=9 * 1
= 9
I divided the 315 by the 35 because that would give us how many hours she drives. (at a constant rate) So, given that, I got 9. I hope this helped!
hey I need help with this two step equation!! m/3-7=1
Answer:
m = 24
Step-by-step explanation:
To solve the equation m/3-7 =1, we can start by isolating m on one side of the equation. To do this, we will add 7 to both sides of the equation:
m/3 - 7 + 7 = 1 + 7
m/3 = 8
The next step is to multiply both sides of the equation by 3 to get rid of the fraction:
m/3 * 3 = 8*3
m = 24
So the solution to the equation is m=24
Okay so say Jhonny had duties to complete for the company, each duty was 15 minutes each. If 4 duties equal an hour, and jhonny did 358 duties how many hours did he do in total?
Answer:
he did 89.5 hours in total
Step-by-step explanation:
Using umitary mwthod we get
4. 1
358. x
soling it
4x=358
or,x=358÷4
or,x=89.5 hours
©Thank You
Answered By Solution 49
The answer is 89.5 because it's 358 divided by 4.
A parabolic tunnel has a width of 20 feet and a height of 12 feet at the center. Find the cross-sectional area of the parabolic tunnel.
A. Illustrate the parabolic tunnel. Show the measurements.
B. What function represents the parabolic tunnel? Show your solution.
C. Compute for the cross-sectional area of the parabolic tunnel. Use the Definite Integral. Show your solution.
No troll.
Answer:
A. See attached graph
B. [tex]\boxed{y = 0.12x^2+ 12}[/tex]
C. [tex]\boxed{160\;square\;feet}[/tex]
Step-by-step explanation:
Consider the figure which shows the cross-sectional view of the parabolic tunnel as viewed from the entrance
A. See attached graph
B. The parabola is drawn with the y-axis as the axis of symmetry.
The x-intercepts are at (-10, 0) and (10, 0)
The vertex is at (0, 12)
The vertex form equation for a parabola is
y = a(x - h)² + k
where (h, k) is the vertex - the (x, y) coordinates of the vertex
Here h = 0, k = 12
So the parabola equation is:
y = a(x - 0)² + 12
y = ax² + 12
To find a, plug in one of the x-intercepts, say (10, 0)
We get
0 = a(10)² + 12
0 = 100a + 12
100a = -12
a = -12/100 = -0.12
Therefore the equation of the parabola is
[tex]\boxed{y = 0.12x^2+ 12}[/tex]
C. The cross-sectional area is given by the formula:
D. To find the area of the parabola between x = -10 and x = 10 which forms the base of the parabola, you can use the formula
[tex]A = \dfrac{2}{3}bh\\\\[/tex]
where b is the base length and h is the height
Using the values for b = 20 and h = 12 we get
[tex]A = \dfrac{2}{3}\cdot 20 \cdot 12 = 160 \textrm { square feet}[/tex]
Using the definite integral, let's find the area between x = -10 and x = 10
I am not going through every step but leading you to the final answer
[tex]\int _{-10}^{10}\left(\:-0.12x^{2\:}+\:12\right)dx\\\\\\\textrm{We have}\\\\0.12\cdot \int _{-10}^{10}x^2dx=0.12\left[\frac{x^3}{3}\right]_{-10}^{10}\\\\[/tex]
[tex]=0.04\left[x^3\right]_{-10}^{10}\\\\= 80\\\\[/tex]
Therefore
[tex]-0.12\cdot \int _{-10}^{10}x^2dx = -80[/tex]
[tex]\int _{-10}^{10}12dx = \left[12x\right]_{-10}^{10} = 240[/tex]
So total area = -80 + 240 = 160 square feet
Ans: Cross sectional area = [tex]\boxed{160\;square\;feet}[/tex]
solve for y
y/3 - 8= -15
Answer: -7/3
Step-by-step explanation:
y/3 - 8 = -15
y/3 = -7
y = -7/3
Which equation represents the horizontal line passing through (-3, 6)?
The equation of the line passing through (-3, 6) is y = 6.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, a horizontal line is passing through (-3, 6), we are asked to find its equation,
Since, the equation that represents a horizontal line is of form y = a i.e, it must pass through point (0,a) on the y-axis.
We are given, the line passes through (-3, 6), it must pass through point (0,6) on the y-axis.
Hence, the equation of the line passing through (-3, 6) is y = 6.
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HELP ME!!!
The photo below is the reduced form of a 16 by 20-inch print. What is the scale factor used to reduce it? Show Work.
The scale factor which was used to reduce the picture include the following: B. 1/4.
What is scale factor?In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric figures such as airplanes, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.
Mathematically, the scale factor of a geometric figure can be calculated by dividing the dimension of the image by the dimension of the pre-image (original figure):
Scale factor = Dimension of image/Dimension of pre-image
Scale factor = 4/16 = 5/20
Scale factor = 1/4.
Therefore, this photo was reduced by a scale factor of 1/4.
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Answer choices are:
4
1/4
12
1/12
