Answer:
\(0.455\)
Step-by-step explanation:
Divide the number of round blue blocks in the box from the total number of round blocks in the box. Remember that only the round blocks are in the box.
\(\dfrac{\# \textrm{ of blue blocks}}{\textrm{total }\# \textrm{ of blocks}} = \dfrac{5}{5 + 2 + 4}\)
\(= \dfrac{5}{11}\)
\(\approx 0.455\)
Explain whether △ABC is congruent to △XYZ according to the angle side angle (ASA) congruence criteria.
Answer:
∆ABC and ∆XYZ cannot be proven to be congruent to each other according to the Angle-Side-Angle (ASA) Congruence criteria.
Step-by-step explanation:
The Angle-Side-Angle (ASA) Congruence criteria says that two triangles are congruent to each other if two angles and an included side of one triangle is congruent to two corresponding angles and a corresponding included side of the other triangle.
In the diagram given, the two angles were given (<B and <C), however, the side given (side AB) does not lie in the middle of <B and <C, hence it is NOT AN INCLUDED SIDE. The same applies to ∆XYZ.
Therefore, ∆ABC and ∆XYZ cannot be proven to be congruent to each other according to the Angle-Side-Angle (ASA) Congruence criteria.
Help please!!!!!!!???!!!!
Answer:
The equation is
y=0.5x+2
Find the perimeter of this rectangle.
53 in.
16 in.
[?]
inches
Answer:
138
Step-by-step explanation:
perimeter of rectangle=2(l+b)
=2(53+16)
=2(69)
=138
Fill in the following blank so that the resulting statement is true.
Points: 0 of 1
In order to construct a Venn diagram for a survey, first enter the cardinality of the
to obtain subsequent cardinalities.
Save
region. Then use
In order to construct a Venn diagram for a survey, first enter the cardinality of the universal set to obtain subsequent cardinalities.
How to explain the informationThe universal set is the set of all possible outcomes, and the cardinality of a set is the number of elements in the set. Once you have the cardinality of the universal set, you can use it to calculate the cardinality of any other set in the survey.
For example, if the universal set has a cardinality of 100, and the survey asks people whether they like dogs or cats, you can calculate the number of people who like dogs by subtracting the number of people who like cats from the total number of people surveyed.
In order to construct a Venn diagram, you will need to draw two or more circles, each representing a set in the survey. The circles should be overlapping to represent the sets that have members in common.
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In order to construct a Venn diagram for a survey, first enter the cardinality of the to obtain subsequent cardinalities region. Then use
4x - 7y = 1
6x + 4y = 16
Answer:
x = 2
y = 1
Step-by-step explanation:
Two whole numbers are such that axb=97. Determine the possible value(s) of a +b.
Given:
\(a\times b=97\)Here, a and b are whole numbers.
There is only one possibility for a and b,
\(1\times97=97\)So,
\(a+b=1+97=98\)These lines are parallel. Is this statement true or false? y = - 2 3 x + 8 y = 2 3 x − 5 A. true B. false
Answer:
This statement would be false.
Step-by-step explanation:
The given equations have slopes that are positive and negative. Therefore, we know that they will intersect at some point because the slopes are not the same. In fact, they intersect at the point (9 3/4, 1 1/2).
I have attached an image of the graph of these two equations for your reference.
Use Pythagoras' theorem to calculate the length of FG. Give your answer in centimetres (cm) to 1 d.p. 8 cm H 13 cm G
The length of FG is approximately 15.3 cm.
To calculate the length of FG using Pythagoras' theorem, we need to find the length of the hypotenuse (FG) of a right triangle. Let's denote the length of FG as x.
According to Pythagoras' theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, we have:
\(FG^2 = GH^2 + FH^2\)
Given that GH = 8 cm and FH = 13 cm, we can substitute these values into the equation:
\(x^2 = 8^2 + 13^2\)
\(x^2 = 64 + 169\)
\(x^2\) = 233
To find x, we take the square root of both sides:
x = √233 ≈ 15.26 cm (rounded to 1 decimal place)
Therefore, the length of FG is approximately 15.3 cm.
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Please see my question in the attachment, thanks
As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.
What is a vertical asymptote?In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).
By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.
In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;
As x → -1⁻, f(x) → ∞.
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find two numbers the sum of whose squares is 100, and the product of one of which times the other is equal to three times the square of the smaller plus six times this smaller one. let x and y be the two numbers such that x
Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.
The measure of the arc AT in this problem is given as follows:
mAT = 159º.
How to obtain the measure of arc AT?The measure of arc AT is obtained applying the two secant theorem, which states the angle measure of intersection of the two secant segments is half the difference of the measure of the far arc by the measure of the near arc.
The parameters for this problem are given as follows:
Far arc is AT.Near arc is 59º.Angle of intersection is 50º.Hence the measure of the arc AT in this problem is given as follows:
(mAT - 59)/2 = 50
mAT - 59 = 100
mAT = 159º.
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Divide the given polynomial by the given monomial.
Answer:
Here are the answers. Need to have 20 characters for answer. Phew
Pedro goes to the store and buys a binder, a folder, and a highlighter. The folders cost is half the cost of the binder, and the highlighters cost is $1.25 less than the binder. The total cost of the three supplies, with no tax, is $4.75. Write an equation to represent the solution.
I need help
Answer:
x + x/2 + x-1.25=4.75
Step-by-step explanation:
binder is x
folder is x/2
higlighter is x-1.25
Duane begins paying a $5,000
student loan with an annual interest rate of 6.5%
compounded monthly. He schedules monthly payments of $118.57
for 4
years.
The following table shows the first payment in the amortization schedule.
Payment
Number Loan
Amount Payment Interest Principal Remaining
Balance
1
$5,000.00
$118.57
?
What amount of Duane's first payment goes to interest?
Responses
The amount of Duane's first payment that goes to interest is approximately $26.47.
To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.
The formula to calculate the interest portion of a loan payment is:
Interest = Remaining Balance * Monthly Interest Rate.
Let's calculate the interest for the first payment using the given information:
Loan Amount = $5,000.00
Monthly Payment = $118.57
First, we need to calculate the monthly interest rate:
Monthly Interest Rate = Annual Interest Rate / 12
= 6.5% / 12
= 0.00542
Next, we need to calculate the remaining balance after the first payment:
Remaining Balance = Loan Amount - Principal Paid
= $5,000.00 - $118.57
= $4,881.43
Finally, we can calculate the interest portion of the first payment:
Interest = Remaining Balance * Monthly Interest Rate
= $4,881.43 * 0.00542
= $26.47
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A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals. What dimensions should
be used so that the enclosed area will be a maximum?
Length is 33.33 feet and width is 25 feet are dimensions should
be used so that the enclosed area will be a maximum.
What is Area of Rectangle?The area of Rectangle is length times of width
Given that, a rancher has 200 feet of fencing to enclose two adjacent rectangular corrals of the same dimensions.
Here, the dimensions of the rectangles are the same.
The width of the two rectangles is W=2W+2W=4W
The length of the two rectangles is L=L+L+L=3L
Because the adjacent side has a common length.
3L+4W=200
3L=200-4W
Divide both sides by 3
L=(200-4W)/3
Let us form an equation using the area of rectangle formula:
A=2LW
=2(200-4W)/3.W
A=400-8W²/3
Let us differentiate to get the area to be maximized dA/dW=0
1/3×(400-8W²)=0
1/3(400-16W)=0
400-16W=0
400=16W
Divide both sides by 16
W=25
The width is 25 feet.
Substitute W value in equation to get L value:
L=200-4×25/3
=200-100/3
=100/3
=33.33
The length is 33.33 feet.
Now let us find the maximum area
A=2LW
=2×33.33×25
=1666.66
Hence, length is 33.33 feet and width is 25 feet are dimensions should
be used so that the enclosed area will be a maximum.
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PLEASE HELP ANYONE ASAP????!!!!!
Answer:
g = 11
Step-by-step explanation:
26 = 7g - 63 + 12
26 = 7g - 51
77 = 7g
77/7 = 11
A student concludes that the solution to the equation ( 2×+1+3=0 is×=4
Answer:
x = -2
Step-by-step explanation:
2x + 1 + 3 = 0
2x + 4 = 0
x = -2
hay 1230 personas, entre hombres y mujeres. Si se sabe que el número de mujeres, supera en 150 al número de hombres. ¿Cuántos hombres están habitando la mini ciudad?
There are 540 men living in the mini city.
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
Therefore, there are 540 men living in the mini city.
To check our answer, we can substitute x = 540 into our original equation:
540 + (540 + 150) = 1230
690 = 1230
This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.
We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
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PLEASE ANSWER ILL MARK BRAINLIEST!!! (30 POINTSS) The swimming pool at Spring Valley High School is a rectangle with a width of 65 meters and a length of 30 meters. Around the perimeter of the pool is a tiled floor that extends w meters from the pool on all sides. Find an expression for the area of the tiled floor.
2w 2 + 95w
4w 2 + 190w
4w 2 + 190w + 1950
8w 2 + 125w + 1050
Answer:
You could try to do it side by side then the area x side.
Step-by-step explanation:
Sorry if it is not much help, hope you figure it out!
Solve the linear system using the elimination method. Type youranswer as an ordered pair in the form (#,#).5x + 7y = 3311x + 7y = 39
How do we find the second and the third derivative of this equation? Please help!
Answer:
\(\frac{7}{2\sqrt{2} }\)
Step-by-step explanation:
substitute 2 in for x. the square root of 2 is already in radical form
Question in the pic, please explain your answer
The statement translated to an algebra equation will give the value of the unknown number w = 11/5
What is algebra?Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.
Let us represent the unknown number with the letter w so that the statement can be written as the equation:
5w - 8 = 3
add 8 to both sides
5w - 8 + 8 = 3 + 8
5w = 11
divide through by 5
5w/5 = 11/5
w = 11/5
Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5
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the number of students in a chess club decreased from 37 to 19. What is the percent decrease? Round your answer to the nearest percent. The percent decrease is %.
Answer:
You should be able to get your answer by
Step-by-step explanation:
For example let's sayAbout 33%. You divide 12 by 18 and get 0.6666666 and it goes on. So, rounded to the nearest percent, it is 67%. Then, you subtract it from 100 and get 33%. So the percent decrease is 33%.
Hope this helps
which organism is a a complex invertebrate
Answer:
An example of an invertebrate are insects, crabs, spiders....
Step-by-step explanation:
Invertebrate Are animals that their legs are jointed.
Answer:
the snail
Step-by-step explanation:
Highschool geometry please answer questions 8-10 in the attachment added
The table shows points that lie on a line.
Use the slope and y-intercept to write the equation of the line in slope-intercept form.
Answer:
\(y = 4*x+3\)
Step-by-step explanation:
First pick any 2 set of points to find the slope. I chose (1,7) and (3,15)
The slope formula is shown below
\(m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)
Now fill in the variables and solve
15 - 3 = 12
3 - 0 = 3
Divide
\(12/3 = 4\)
So the slope is 4
The y intercept is 3 since that is where x = 0
Now we can write the equation
\(y = 4*x+3\)
Use the graph below to find the following:
A) what is the slope of the line?
B) what is the y intercept of the line?
C) what is the equation of the line in slope intercept form?
PLEASE HELP THIS IS DUE TODAY
H(p)=p/5 + 15
What is the independent variable in this function
In the given function H(p) = p/5 + 15, the independent variable is "p" ,
The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.
It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.
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2x+x(x+3)>6+x.x+9 helpppp
Answer:
Step-by-step explanation: This is solving for X
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x > 3
Interval Notation:
(3,∞)
Can I have brainist my guy (Or girl)
Get nae naed