Answer:
x = 3√2
Step-by-step explanation:
This is a special triangle known as the 45-45-90 triangle. It has special rules that I will detail below:
a = xb = xc = x√2Since we known that x = 3 plug in this value to find b and c, or the hypotenuse:
a = x = 3
b = x = 3
c = x√2 = 3√2
BRAINLIEST please if this helped!
Mai is filling her fish tank. Water flows into the tank at a constant rate.
How many minutes will it take to fill the tank with 40 gallons of water if 1 min is 1.6 gallons of water?
Answer:
It will take 25 minutes to fill the fish tank.
Step-by-step explanation:
1.6 gallons a minute is the unit rate. So in order to find your answer divide 40 by 1.6.
Answer
it will take 25 mins
Step-by-step explanation:
you divide 40 by 1.6
What is the nth term rule of the linear sequence below?
-5, -2, 1, 4, 7, ...
Tn
-
The nth term rule of linear sequence is aₙ = aₙ₋₁ + 3
Linear sequence is a sequence of number in order with same difference .or same ratio.
when fixed number is added to any term of a sequence to get next term . That Fixed number is known as common difference.
The sequence in the given question
-5 , -2 , 1 , 4 , 7, . . . .
The first term of sequence : a₁ = -5
The second term : a₂ = -2
Common difference : d = a₂ - a₁
=> d = -2 - (-5)
=> d = -2 + 5
=> d = 3
The nth rule of linear sequence is aₙ = aₙ₋₁ + d
replacing the value of d
aₙ = aₙ₋₁ + 3 is nth rule of the linear sequence.
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NEED HELP!!
You want to put a 6-inch thick layer of topsoil for a new 35 feet by 14 feet garden. The dirt store only sells topsoil by the cubic yard. How many cubic yards of topsoil will you need to order to fill this garden?
Answer:
Therefore, you will need to order approximately 9.07 cubic yards of topsoil to fill the garden to a depth of 6 inches.
Step-by-step explanation:
To calculate the amount of topsoil needed, we need to find the volume of the garden in cubic yards, since topsoil is sold by the cubic yard.
The garden is 35 feet by 14 feet and 6 inches (or 0.5 feet) deep.
Volume of the garden = length x width x depth
= 35 feet x 14 feet x 0.5 feet
= 245 cubic feet
To convert cubic feet to cubic yards, we divide by 27 (since 1 cubic yard = 27 cubic feet):
Volume in cubic yards = 245 cubic feet / 27
= 9.07 cubic yards (rounded to two decimal places)
Therefore, you will need to order approximately 9.07 cubic yards of topsoil to fill the garden to a depth of 6 inches.
Which number rounds to 42.7 when rounded to the nearest tenth? (10 points)
a 42.07
b 42.62
c 42.64
d 42.73
Answer:
d 42.73
Step-by-step explanation:
if you were to round off the first 3 you wouldn't get 42.7 due to them not being above 5, but, if you were to round off 42.73 you would get 42.7 due to 3 being lower than 5 and it changing into 0
358 divided by 52
A- 5 r36
B- 6 r46
C- 6 r 40?
D- 6 r 36
Answer:
B
Step-by-step explanation:
u just do the long division <3
At the restaurant, the cost of the meal before tax was
$40. The tax is 8.5%, and Sheri wants to leave at least
an 18% tip. Explain how to approximate the total cost of
the meal.
Answer:
This comes out to around 25 percent. Simply multiply 40 by 1/4 to get 10 dollars.
Step-by-step explanation:
Answer:
Step-by-step explanation:
40x0.085=3.4
40+3.4= 43.4
43.4x0.18=7.8
43.4+7.8=51.212$
HELP! WILL MARK AS BRAINLIEST
T = 88 btw
Answer:
V = 63°
U = 29°
X = 12°
Step-by-step explanation:
given that T = 88
88 = 7x+4
88 - 4 = 7x
84 = 7x
84 = 7*12
x=12
V = 60 + 3 = 63
U = 24 + 5 = 29
88 + 63 + 29
Check : 88 + 63 + 29 .= 180
eighty-two million, eighty thousand, eleven to standard notation
Given: eighty-two million, eighty thousand, eleven
To Determine: The standard notation of the given number
Solution
Let us first write the numbers in figure
\(\begin{gathered} 82,000,000+80,000+11 \\ =82,080,011 \end{gathered}\)Please note Standard notation of a number is when a number is written with only number digits
Hence, the standard notation of the given is 82, 080, 011
This one is simple But I dont exactly know whats a function
ANSWER
B. False
EXPLANATION
We want to identify if the statement is true or false.
A function is a type of relation in which each input value is mapped directly to only one output value. In other words, each value of x has only one value of y.
To identify the graph of a function, if a vertical line can be drawn at any value of x such that it connects more than one point on the graph, then, the graph does not represent a function.
From the given graph, we see that a vertical line can be drawn to touch more than one point at several values of x.
This implies that the graph does not represent a function, hence, the statement is false.
The answer is option B.
Describe in words how you would solve the linear system y = 3x + 1 and y = - 2x + 3.
MAKES
Find the volume of the circular cylinder.
3. Circular Cylinder
5 mm
2 mm
The volume of the circular cylinder be,
⇒ 62.8 mm³
Given that,
For a circular cylinder,
Height = 5 mm
Radius = 2 mm
Then we have to find the volume of this circular cylinder
Since we know that,
The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.
This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.
volume of circular cylinder = πr²h
Here we have,
r = 2 mm
h = 5 mm
Now put the values into the formula we get,
Volume = π x 2² x 5
= 62.8 mm³
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North Dakota has 465 campgrounds over 12 counties while West Virginia has 711 campgrounds. If North Dakota was proportional to West Virginia in the number of campgrounds to counties, how many counties would West Virginia be expected to have? Round to the nearest whole number.
Number of countries would west Virginia be expected to have is 18 countries
The number of campgrounds that North Dakota has = 465 campgrounds
The number of countries = 12 countries
The number of campgrounds that West Virginia has = 711 campgrounds
Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.
The proportion will be
465 / 12 = 711 / x
Divide the terms
38.75 = 711 / x
x = 711 / 38.75
Divide the terms
x = 18.4
x ≈ 18 countries
Hence, number of countries would west Virginia be expected to have is 18 countries
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MATH
Systems of Linear Equations
1. Determine if each system of equations below is linear or nonlinear.
A. -9x+8y = 9x 7y+8=8x
Linear or nonlinear?
D. 6y+x=12 y-x=1-x
B.
2.3y+1.2x = 0
1.1x+0.1y 1.2
C.
2 7-3y=- 2x+9= 3y
Linear or nonlinear?
Linear or nonlinear?
E. 45x + y = 12 y+x² = 1-x²
Linear or nonlinear?
G
0.2x+9.1y9.1√x
7x+1=8√y
Linear or nonlinear?
F. x+8y = 81 x-7y = 32
Linear or nonlinear?
H.
98317y= 1010 + 2965x
-71389y=5692x - 1001
3 xx y-5= 1 zy+3x=-21
Linear or nonlinear?
Linear or nonlinear?
Linear or nonlinear?
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.
A.
B.
Solution:
Solution:
C.
D.
Solution:
Solution:
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.
A.
B.
Solution:
Solution:
C.
D.
Solution:
Solution:
The system of equations -9x+8y = 9x and 7y+8=8x is linear.
A system of equations is considered linear if each equation in the system is linear, meaning that the highest power of any variable in each equation is 1.
In this case, the first equation -9x+8y = 9x is linear because the highest power of any variable is 1 (x is raised to the first power).
Similarly, the second equation 7y+8=8x is also linear because the highest power of any variable is 1 (x is raised to the first power and y is not raised to any power).
Therefore, the system of equations is linear.
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What is the surface area of the image below I’ll give b brainliest
Answer:
50(5π + 6) cm²
Step-by-step explanation:
TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle
= 1/2 of 2πr(h+r) + 20*15
= πr(h+r) + 300
= 10π(15+10) + 300
= 250π + 300 cm²
or 50(5π + 6) cm²
A dietician is considering three food types to be served at a meal she is particularly concerned with the amount of one vitamin provided?
5 years ago
at this meal ,. One ounce of food 1 provide 8 milligrams of the vitamin , an ounce of food 2 provides 24 milligram and an ounce of food 3 provides 16 milligrams . The minimum daily requirements for vitamin is 120 milligram
a. If x equals the number of ounces of food type j served at meal, determine the equation which ensure the meal satisfies MDR exactly.
i want linear equation solution of this
Answer:
8* x₁ + 24*x₂ + 16*x₃ ≥ 120
Step-by-step explanation:
food 1 provides 8 mgrs of vitamin
food 2 provides 24 mgrs of vitamin
food 3 provides 16 mgrs of vitamin
If xj ( j = 1 ,2,3 ) is the quantity in ounces of food ( 1, 2, 3 ) then:
8* x₁ + 24*x₂ + 16*x₃ ≥ 120
Adam had $27 to spend on 3 beakers for his science class. After buying them, Adam had $6 left. How much did each of the beakers cost?
Answer: $7
Step-by-step explanation: So $27 -$6= $21.Then you Divide by 3 and you will get $7 for each beaker.
Answer:
$7
Step-by-step explanation:
In order to find the total cost of the 3 beakers, take away $6 from the total amount Adam has.
$27 - $6 = $21
$21 is the amount needed for 3 beakers, hence to find 1 beaker, you just have to divide $21 by 3.
$21 ÷ 3 = $7
Therefore, each beaker costs $7.
Question 3(Multiple Choice Worth 3 points)
(01.04 LC)
Which of the following expressions is equivalent to 2x +4? (The x+4 is to the power of x)
A) 8(2) ^x
B) 2^x/8
C) 16(2)^x
D) 2^x/16
The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)
Which expression is equivalent to the expressionFrom the question, we have the following parameters that can be used in our computation:
2ˣ⁺⁴
The above expression is an exponential expression with the following properties
Base = 2Exponent = x + 4When the above expression is expanded, we have
2ˣ⁺⁴ = 2ˣ * 2⁴
Evaluate the expression 2 exponent 4
So, we have the following representation
2ˣ⁺⁴ = 2ˣ * 16
Rewrite as follows
2ˣ⁺⁴ = 16 * 2ˣ
This gives
2ˣ⁺⁴ = 16(2ˣ)
Hence, the expression that is equivalent to the expression is 16(2ˣ)
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The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and standard deviation is 4 beads. Which sentence most closely summarizes the data?
About 80 necklaces have more than 28 beads. Then the correct option is C.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and the standard deviation is 4 beads.
P(x > 28) = P(x - 24 / 4 > 28 - 24 / 4)
P(x > 28) = P(x - 24 / 4 > 1)
P(x > 28) = 1 - ∅1
P(x > 28) = 1 - 0.8413
P(x > 28) = 0.1587
Multiply both sides by 500, then we have
500 P(x > 28) = 0.1587 × 500
500 P(x > 28) = 79.35
500 P(x > 28) ≈ 80
About 80 necklaces have more than 28 beads. Then the correct option is C.
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The missing options are given below.
A. About 24 devices have more than 28 beads.
B. About 48 necklaces have more than 28 beads.
C. About 80 necklaces have more than 28 beads.
D. About 96 necklaces have more than 28 beads.
Click on all the points that are solutions to y = x^2 - 9.
A) (0,-3)
B) (2,-5)
C) (3.-3)
D) (3,0)
E) (7,4)
9514 1404 393
Answer:
B) (2, -5)
D) (3, 0)
Step-by-step explanation:
I find it convenient to let a graphing calculator plot the points and the graph.
The only two points on the graph of the curve are ...
(2, -5) and (3, 0)
Use the hundredth grids to answer the question.
Which equation is shown by the model?
See picture below
Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).
How to identify the correct equation?To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.
In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.
On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:
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Problem 1
Each scholar in fifth grade participates in one of the three extracurricular activities: sports,
chess, or art.
2/5 of the fifth grade scholars participate in sports
1/4 of the fifth grade scholars participate in chess
What fraction of the fifth grade scholars participate in art?
Answer:
7/20 participate in art.
Answer:
7/20 hcjauwauhfehhfieafuewaueiwavibiurbviubwibvebaiubj
How many different ways can teams of fourmembers be formed from a class of 20 students?1) 5 2) 80 3) 4,845 4) 116,280
a) In GeoGebra Links to an external site., construct a triangle (e.g. ABC), find the measure of all angles and all sides. Identify the type of your triangle (acute, right, obtuse/ scalene, isosceles, equilateral). Then construct a quadrilateral (e.g. DEFG), measure all angles and all sides. Identify the type of your quadrilateral (irregular, square, rectangle, etc.) Use the text command available in GeoGebra to describe the type.
b) Make a screenshot of your work in Geogebra and insert in the space provided below.
All angles are 90 degrees.Rhombus: All sides are of equal length.Square: All angles are 90 degrees and all sides are of equal length
a) To construct a triangle in GeoGebra, we can follow the steps below:
Step 1: Open GeoGebra and select the ‘Polygon’ tool.
Step 2: Select the ‘Triangle’ option.
Step 3: Click three points anywhere on the graph.
Step 4: Once you have drawn the triangle, you can use the ‘Angle’ tool to measure all the angles in the triangle. Similarly, use the ‘Length’ tool to measure the length of each side of the triangle.To identify the type of triangle, we can use the following properties:Acute Triangle: All angles of the triangle are less than 90 degrees.Right Triangle: One of the angles in the triangle is 90 degrees.Obtuse Triangle: One of the angles of the triangle is greater than 90 degrees.Scalene Triangle: All sides of the triangle are of different lengths.Isosceles Triangle: Two sides of the triangle are of the same length.Equilateral Triangle: All sides of the triangle are of the same length.To construct a quadrilateral in GeoGebra, we can follow the steps below:
Step 1: Open GeoGebra and select the ‘Polygon’ tool.
Step 2: Select the ‘Quadrilateral’ option.
Step 3: Click four points anywhere on the graph.
Step 4: Once you have drawn the quadrilateral, you can use the ‘Angle’ tool to measure all the angles in the quadrilateral. Similarly, use the ‘Length’ tool to measure the length of each side of the quadrilateral.To identify the type of quadrilateral, we can use the following properties:Irregular Quadrilateral: All sides and angles of the quadrilateral are of different lengths and measures.Trapezium: Only one pair of opposite sides is parallel.Parallelogram: Opposite sides are parallel.Rectangle:.b) Since we need to add a screenshot of the work done in GeoGebra, we cannot add it here. However, while you construct the triangle and the quadrilateral, you can keep adding the measure of angles and sides to find the properties of the figure. You can then use the Text command available in GeoGebra to describe the type of triangle or quadrilateral that you have constructed. To use the Text command in GeoGebra, follow the steps below:
Step 1: Select the ‘Text’ tool from the toolbar
.Step 2: Click anywhere on the graph to add the text box.
Step 3: Type the text in the text box.
Step 4: Customize the font, color, and size of the text as required.
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The function f is defined by f(x) = -2x-8. The x intercept of the graph of y=f(x) in the xy-plane is (x,0). WHAT IS THE VALUE OF X
Help Plis....................
Answer:
1.30
2. 0 im pretty sure
Step-by-step explanation:
if im wong sry
A hat contains 35 marbles. Of them, 20 are red and 15 are green. If one marble is randomly selected out of this hat, what is the probability that this marble is red? Round your answer to two decimal places. P(A) =
Answer:
P(A) = 0.57 (rounded to two decimal places).
Step-by-step explanation:
The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:
P(red) = number of red marbles / total number of marbles
P(red) = 20/35
We can simplify this fraction by dividing both the numerator and denominator by 5:
P(red) = 4/7
So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.
Therefore, P(A) = 0.57 (rounded to two decimal places).
Hayley is 5feet 5 inches tall. What is tis i metres to the nearest centimetre
Answer:
It might be 168 centimetres
Step-by-step explanation:
In given figure AB is the diameter of circle. If ∠CAD = 32° and ∠CPB = 28°. Find ∠CDA.
Answer:
Therefore, the angle ∠CDA is 58°.
Step-by-step explanation:
∠CDA = 58°
In the given figure, let's consider the angle ∠CDA as x.
Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.
In triangle CAD, the sum of angles is 180°. So, we have:
∠CAD + ∠CDA + ∠CAB = 180°
Substituting the known values:
32° + x + 90° = 180°
Combining like terms:
x + 122° = 180°
Subtracting 122° from both sides:
x = 180° - 122°
x = 58°
Pls help me !!!!!!!!!
Answer:
Option 1. The mean Arm Span for class A is much lower than Class B's.
Step-by-step explanation:
I hope you will be able to understand from this pic. Actually It's called Stem and Leaf Display.
3. A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The
cost per photo varies inversely with the number of photos a customer buys, as shown in the table below.
What function models the data?
To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.
To model this relationship, we can use the inverse variation equation, which can be expressed as:
y = k/x
Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.
Let's examine the data given in the table to find the value of k:
Number of Photos (x) Cost per Photo (y)
10 10
25 4
50 2
100 1
We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):
2 = k/50
Solving for k:
k = 2 * 50 = 100
Now that we have the value of k, we can write the function that models the data:
y = 100/x
Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.