The length of the 3rd side cannot be determined without at least one more side length.
In order to calculate the length of the third side of a triangle, we must also have the lengths of the other two sides. This is because the sum of the three sides of a triangle must equal 180°, so the length of one side can be determined from the other two. For example, if two sides have lengths of 4 and 8, then the third side must have a length of 8, as
4 + 8 + 8 = 180°.
Without knowing the lengths of the other two sides, it is impossible to calculate the length of the third side.
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Daphine flips a coin four times. What is the probability that it lands on rails all four times?
Answer:
4/8 if you need simplified version its 1/2
Step-by-step explanation:
A coin has 2 sides. If you flip a coin one time, the possibility of getting a tails would be 1/2.
times 1/2 by 4 (since your flipping it four times)
Which number is the prime factorization for: 2 x 3 x 3 x 5
Answers:
90
180
18
95
Answer:
90
Step-by-step explanation:
2*3*3*5=
90
Answer:
90
Step-by-step explanation:
2 × 3 × 3 × 5
2 × 3 × 15
2 × 45
90
Find the height of the triangle.
Answer:
72.83
Step-by-step explanation:
61²+x²=95²
3721+x²=9025
x²= 5304
x= 72.83
18. Rachel paid $46 in tax for the money she earned
as a camp counselor. How much money did
Rachel earn?
Helpp!
Answer:
$1022.22Step-by-step explanation:
The tax is 4.5%Amount of tax paid is $46Total amount of money earned is x.
4.5% of x = $46x*4.5/100 = 46x * 0.045 = 46x = 46/0.045x = 1022.22Answer:
Solution given
tax = 4.5%
Amount of tax = $46
Let total amount of money earned is x.
we have
4.5% of x = $46
x×4.5/100 = 46
x×0.045 =46
x = 46/0.045
x= 1022.22
So Racheal earn $ 1022.22.
A line with a slope of 0 passes through the points (-2,0) and (-8,c). What is the value of c?
The value of c will be 0.
What is a slope?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
m = y2 - y1 / x2 - x1
where m = 0
y2 = c
y1 = 0
x1 = -2
x2 = -8
0 = c - 0 / -8 - -(2)
0 = c - 0 / -8 + 2
0 = c - 0 / -6
c - 0 = -6(0)
c - 0 = 0
c = 0
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Complete the table with the perimeter for each given side length. Then, write a rule for a function, P, that gives the perimeter of the paper in feet when the side length in feet is l. Use function notation.
what does P(11) represent in this situation? What is its value?
For a roll of paper with dimensions 3 feet cut to any desire length,
a) The value of perimeter when cut to 2.5 feet is 11 feet.
b) The complete table with filled perimeter column is present above . The function notation for perimeter is , P =2(L+ W)
c) P(11) , represents the length of paper cut to 11 feet in this situation. It's value i.e., P(11) = 28 feet .
Perimeter is defined as the sum of all boundary length of any geometry. We have a roll of paper with dimensions 3 feet ( i.e, width) is cut to any length. From, it we conclude that that paper is like quadrilateral shape but not square.
a) when the paper cut in a length of 2.5 feet , so, length (L) = 2.5 feet
The perimeter of quadilateral ( rectangle in this case ) is 2(L+W) so, perimeter
= 2( 2.5 + 3)
= 11.0 feet
b) Now, we have to complete "perimeter coulmn ," in the table and side lengths are provided.
Width (w) = 3 feet
length (l) = 1 feet
perimeter = 2(4) = 8
similarly, side lengths (ft.) perimeter ( ft.)
2.5 11
1 8
2 10
11 28
L 2( L + W)
The functional notation for perimeter is
P = 2(L+W) .
c) P(11) represents the length of paper in feet when the paper is cut at a length of 11 feet . It's value is 28 feet . So, the value of P(11) is 28 feet.
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Complete question:
A roll of paper that is 3 feet wide can be cut to any length.
a. If we cut a length of 2.5 feet, what is the perimeter of the paper?
b. Complete the table with the perimeter for each given side length. Then, write a rule for a function, P, that gives the perimeter of the paper in feet when the side length in feet is L, use a function notation.
c) what does P(11) represent in this situation? What is its value?
to
5.2.2 Guided Instruction: Solutions to the
Products and Quotients of Polynomials on a
Graph
Graphs can be used to determine the products and
quotients of polynomials similarly to using graphs when
adding and subtracting polynomials.
The functions a(x) and b(x), and their product, a(x) b(x),
represented by c(x), are shown on the coordinate plane.
35A
(10, 34)
-10
-30
-25-(-0,24)
MATH
20
(0.805, 105)
10
(1.5, 6)
0
(0-3)
b(x10
-15
(8,13)
C(x)
(6.5, 10)
5
(0-8)
(10, 17)
(8.695-10)
3. Find the value of c(10).
2. What is the product of a(10) · b(10)?
10, 2
15
(8,0)
-20
1. Describe how to use the graph to determine the value
of a (10) b(10).
20
25
Thus, the choice that best describes the graph is A cubic function on a coordinate plane has an inflection point at x = 5 and crosses the x-axis at x = 5.
Definition of the cubic function .f(x)=ax3+bx2+cx+d, where 0 and the coefficients a, b, c, and d are complex numbers, and where the variable x has real values. In other words, it is both a three-degree polynomial function and a real function.
Here,
Our role in this situation is:
y = ∛(x - 5) (x - 5)
so the cubic root is given.
In this case, we see that when x = 0, we have:
The y-intercept is y = -5.
And if x = 5, we get:
Because of the sign change, the x-intercept and inflection point are both equal to y = ∛0 = 0
Thus, the choice that best describes the graph is A cubic function on a coordinate plane has an inflection point at x = 5 and crosses the x-axis at x = 5.
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A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a city 41 miles north of the transmitter to a second city 42 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter
On solving the provided question, we can say that the slope's the intersection points are: (20.698, 42.197) and (43.998,16.527), the transmitter is within range between those to points along the line.
what is slope?A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
city - north at (0,65)
city-east at (59,0)
Slope is m=(-65/59)
[tex]B= y - mx = 65 - (-65/59)(0) = 65[/tex]
The equation of the line between the cities is y = (-65/59)x + 65
[tex]x^2 + ( (-65/50)x + 65) )^2 = 47^2[/tex]
the intersection points are:
(20.698, 42.197) and (43.998,16.527)
The transmitter is within range between those to points along the line.
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A certain television is advertised as a 90-inch TV (the diagonal length). If the height of the TV is 63 inches, how wide is the TV? Round to the nearest tenth of an inch.
Answer:
The TV is 64.3 in. wide.
Step-by-step explanation:
a
2
+(63)
2
=
\,\,90^{2}
90
2
Use the Pythagorean Theorem.
a^{2}+3969=
a
2
+3969=
\,\,8100
8100
Simplify.
-3969\phantom{=}
−3969=
\,\,-3969
−3969
Subtract 3969 from both sides.
a^{2}=
a
2
=
\,\,4131
4131
\sqrt{a^{2}}=
a
2
=
\,\,\pm\sqrt{4131}
±
4131
Square root both sides.
a=
a=
\,\,64.272855...
64.272855...
Simplify. Ignore negative root, as length must be positive.
a\approx
a≈
\,\,64.3
64.3
Round to the nearest tenth.
The rectangle TV's width is determined by the formula W = 64.3 inches.
What is the diagonal of a rectangle?The formula determines a rectangle's diagonal.
From the Pythagoras Theorem , The hypotenuse² = base² + height² , and
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
Given data ,
Let D represent the diagonal of the rectangular TV.
D is now equal to 90 inches.
Let the TV's rectangle size be 63 inches.
Let W be the TV's rectangular width.
And , Diagonal of a Rectangle = √ ( Length )² + ( Width )²
D² = L² + W²
90² = 63² + W²
Subtracting 63² on both sides of the equation , we get
W² = 90² - 63²
On simplifying the equation , we get
W² = 4131
Taking square roots , we get
W = √4131 inches
W = 64.3 inches
Thus , W is equal to 64.3 inches.
Hence, the rectangular TV is 64.3 inches wide.
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i don’t know this pls help
The perimeter of the right triangle is 228 inches
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter.
Since it is a right triangle,
c² = 57² +76²
c² = 3249 + 5776
c² = 9025
c= √ 9025 = 95
Perimeter is the sum of all sides
Perimeter = 57+76+95 = 228 inches
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During a science experiment, a chemist boils a liquid and then sets it on the lab table and records the temperatures as it cools. The graph shows , the temperature in degrees Centigrade, and is the number of after the liquid is set on the table. Liquid Temperature Time () Which equation is the best model for this data?
The exponential function that best models this data is given as follows:
C. y = 80(0.75)^x + 20.
How to define the exponential function?An exponential function, considering it's asymptote, is defined as follows:
y = a(b)^x + c.
In which the parameters are given as follows:
a is used to define the initial value.b is the rate of change.c is the horizontal asymptote.From the graph, the horizontal asymptote is at y = 20, hence the parameter c is defined as follows:
c = 20.
When x = 0, y = 100, hence the parameter a is obtained as follows:
100 = a(b)^0 + 20
a + 20 = 100
a = 80.
When x = 5, y = 40, hence the parameter b is obtained as follows:
40 = 80b^5 + 20
80b^5 = 20
b^5 = 1/4
b = (1/4)^(1/5)
b = 0.75. (approximately).
Hence the function is defined as follows:
y = 80(0.75)^x + 20.
Meaning that the correct option is given by option C.
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Maggie made the following quilt from 64 square pieces of fabric.
A square array of eight squares wide by eight squares long. The length of the total square is seven and fifty-two hundredths feet.
What is the side length of each square piece of fabric? Enter your answer in the box.
11.75
feet
Answer:
11.75
Step-by-step explanation:
The quilt consists of a square array of 8 x 8 = <<8*8=64>>64 square pieces of fabric.
Since the length of the total quilt is 7.52 feet, the side length of each square piece of fabric is 7.52 / 8 = <<752/8=0.94>>0.94 feet.
However, since you are asked to enter your answer in the box in feet, you should express 0.94 feet as a decimal to the nearest hundredth. The nearest hundredth of a foot to 0.94 feet is 0.95 feet. Therefore, the side length of each square piece of fabric is approximately 0.95 feet, or approximately 11.75 inches.
So the answer is 11.75 feet.
Meada scored 24 points. If this was 4 less than the number
of points scored Jill scored, how many points did Jill score?
Define a variable. Then write an equation that could be
used to solve the problem.
Answer:
the answer is 28
Step-by-step explanation:
Maeda scored 24 points and if 4 less then jill
x is variable
x-4=24 add 4 on both sides
x=28
x^y=y^x and x=2y prove that y=2.
Answer:
[tex] {x}^{y} = {y}^{x} \: - - - (1)[/tex]
[tex]x = 2y \: - - - (2)[/tex]
Substitute (2) into (1):
[tex] {2y}^{y} = {y}^{2y} [/tex]
Log both sides:
[tex]lg(2 {y}^{y} ) = lg(y^{2y} )[/tex]
[tex]y \: lg(2y) = 2y(lg \: y)[/tex]
[tex]y \: lg(2) + y \: lg(y) = 2y \: lg(y)[/tex]
[tex]y \: lg(2) = 2y \: lg(y) - y \: lg(y)[/tex]
[tex]y \: lg(2) = y \: lg(y)[/tex]
Divide by y on both sides:
[tex]lg(2) = lg(y)[/tex]
[tex] {10}^{lg(2)} = {10}^{lg(y)} [/tex]
2= y
y= 2 (proved)
Explanation:
• step 5: lg(m)^n= nlg(m)
• Step 6: lg(mn)= lg(m) +lg(n)
The radius of a circle is 7 cm what is the area
Answer:
153.94 cm²
Step-by-step explanation:
Area of circle = πr² = π(7)² = 49π = 153.94 cm²
Answer:
7^2 = 49
49 x 3.14 = 153.86
Step-by-step explanation:
Formula of an Area of a circle:
pi(3.14 or 22/7 or whatever they tell you to use for pi) x radius squared
Tommy earned $225 washing cars with his mobile car washing business. He charges $30 per appointment and earned $45 in tips, but he also has to pay $10 per appointment for water. Write an equation to represent this situation.
A.
(30 + 10)y + 45 = 225
B.
30y + 45 = 225 - 10y
C.
30y + 45y - 10y = 225
D.
(30 - 10)y + 45 = 225
An equation representing this situation where Tommy earned $225 washing cars per appointment charge of $30 and tips of $45 while paying $10 for water per appointment is D. (30 - 10)y + 45 = 225.
What is an equation?An equation is a mathematical statement that states that two or more mathematical expressions are equivalent or equal.
Equations depict the equality of mathematical expressions using the equation symbol (=).
The total amount earned = $225
Variable charge per appointment = $30
Tips earned = $45
Variable cost per appointment for water = $10
Contribution margin per unit = $20 ($30 - $10)
Let each appointment = y
Total earnings: 225 = (30 - 10y) + 45
Thus, the equation that represents the situation of Tommy's net earnings from washing cars is Option D.
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two families with four people in each family go to a movie theater. in how many ways can they be seated
According to probability, if both families want to sit together, they can be seated in a row a maximum of two times.
What seating configuration?The direction that each person is facing is crucial when arranging the people.
In order to determine how many ways they can be seated in a row if both families want to sit together, imagine that two families with four members each attend a movie theatre.
Given that the arrangement is important, we will apply the permutation rule. We'll divide the remaining four into two groups of four each.
There are two different ways to arrange the groups so they can sit together.
2! = 2 * 1
2! = 2ways
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what is the area of this figure?
Answer:
602
Step-by-step explanation:
First find area of the rectangle portion
L x W
22 x 15
330
Second find area of trapezoid
B1+B2/2 times height
12+22/2 times 16
34/2 times 16
17 times 16
272
Lastly, add areas together
I need help with my math final!!
Answer:
8
Step-by-step explanation:
90x5=450
548-450=98
98divede12=8..2
Answer: is 14
Step-by-step explanation: its 14 but i dont know how to explain it
What is true about the sum of the two polynomials 6 s 2 t − 2 st 2 4 s 2 t − 3 st 2?
The sum of the two polynomials 6s²t – 2st² and 4s²t – 3st² is 5(2s²t – st²) in factorized from.
What is polynomials?One or more algebraic terms (monomials) are combined mathematically to form a polynomial. Poly- (many) and -nomial (terms) are the roots of the word "polynomial".
A polynomial can have exponents (powers), constants (numbers), and variables (letters), but never negative exponents or division by a variable.
In standard form, polynomials prefer to be expressed. In addition, the exponents are arranged in descending order because they don't contain any similar terms (largest to smallest).
The sum of two polynomial is
⇒6s²t – 2st² + 4s²t – 3st²
= 6s²t + 4s²t – 3st²– 2st²
= 10s²t – 5st²
= 5(2s²t – st²)
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Full question
What is true about the sum of the two polynomials?
6s²t – 2st² and 4s²t – 3st²
Wendall designs a tower with a height in feet that can be represented by the function T(x) = 9(x + 6.9), where x is the height of the visible space in a standard office. Then, he decides to include an above ground parking garage under the tower. The height of the parking garage can be represented by the function G(x) = 3x.
Answer:
[tex]G(T(x)) = 27(x + 6.9)[/tex]
Step-by-step explanation:
Given
[tex]T(x) = 9(x + 6.9)[/tex]
[tex]G(x) = 3x[/tex]
Required [Missing from the question]
G(T(x))
We have:
[tex]G(x) = 3x[/tex]
This implies that:
[tex]G(T(x)) = 3(T(x))[/tex]
Substitute: [tex]T(x) = 9(x + 6.9)[/tex]
[tex]G(T(x)) = 3[9(x + 6.9)][/tex]
Open bracket
[tex]G(T(x)) = 27(x + 6.9)[/tex]
Please help me find the circumference of the circle!
Answer:
[tex]C=59.6902604182[/tex]
Step-by-step explanation:
The formula to calculate the circumference of a circle given the diameter is:
[tex]C=\pi d[/tex]
Substitute and solve:
[tex]C=\pi \times19=59.6902604182[/tex]
[tex]C=59.6902604182[/tex]
Since the question doesn't say to round your answer is "59.6902604182."
Hope this helps.
What is the XYZ axis called?
The XYZ axis is called as X-axis, Y-axis, and Z-axis, respectively.
The term axis in math is defined as a line with respect to which a curve or figure is drawn, measured, rotated, etc.
Here we have given that XYZ axis, in math are no standard names for the coordinates in the three axes
Based on these the coordinates are often denoted by the letters X, Y, and Z, or x, y, and z.
And these axes may then be referred to as the X-axis, Y-axis, and Z-axis, respectively.
Here in the graph x-axis and y-axis represent the first two dimensions where as the z-axis, the third dimension. Which is also defines the x and y denote width and height and the z denotes depth.
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What type of correlation (association)? The outside temperature and the amount of layers you wear.
Answer:
negitive corralation
Step-by-step explanation:
The outside temperature and the number of layers you wear. represents a negative correlation.
What is correlation?It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
As we know a negative correlation is a relationship between two variables in which one increases while the other decreases and a positive correlation is a relationship in which one variable increases while the other decreases.
The case of the two variables that are outside temperature and the number of layers you wear represents the negative correlation because in the summer temperature increases and the number of layers decreases that you wear.
In the winter when the temperature goes down the number of layers increases that you wear.
Thus, the outside temperature and the number of layers you wear. represents a negative correlation.
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Sorry for the quality, if anyone could help. It’s geometry.
Answer:
5
Step-by-step explanation:
What are the 4 types of real numbers?
Real numbers are every number that exists in the real line, The four types of real numbers are rational, irrational, Natural and Integers.
What is a real number?In mathematics, a real number is a value that can be represented on the number line. The set of real numbers includes both rational numbers (such as integers, fractions, and decimals) and irrational numbers (such as √2 and π). Real numbers also include positive numbers, negative numbers, and zero. The set of real numbers is usually represented by the symbol R, and it has the properties of being closed under the operations of addition, subtraction, multiplication, and division (except for division by zero).
What are ideal and real solutions?In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.
Rational number = 3/4, -6/2, or 0.5.
Irrational number = √2, π, or e.
Natural number = 1,2,3,4....
Integers = -4, -1, 0, 1, 4.
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⚠️⚠️GIVING BRAINLIST⚠️⚠️
GIVING BRAINLIST HELP!
Answer:
I agree with Helen because she is right that the volume is about 175 cubic inch. and it is a triangular prism.
Step-by-step explanation:
helen is swaggy so i must agree with her
what other reason is there not to agree?
Given this unit circle, what is
the value of x?
(x,-√2)
X =
(1,0)
[?]
Enter
Answer:
x = - √2/2
Step-by-step explanation:
We know that x = rcosθ and y = rsinθ. The unit circle always have radius of 1 unit. Therefore, r = 1 as defined. Hence:
x = cosθ, y = sinθ
x = cosθ, θ = arcsin(y)
x = cos{arcsin(-√2/2)}
Find the measurement or θ that makes sinθ = -√2/2 and that is π + π/4 = 5π/4.
x = cos(5π/4)
And cos(5π/4) = - √2/2 as well. Hence, x = - √2/2.
Rafael claims it's easiest to score points when a scatterplot has a linear association. Sahana says it's easiest when a scatterplot has a strong association.
Who is correct?
Rafael claims it's easiest to score points when a scatterplot has a linear association. Sahana says it's easiest when a scatterplot has a strong association. Both Rafael and Sahana are correct, in their own way.
A scatterplot with a linear association means that there is a straight line relationship between the two variables being plotted. In such a scatterplot, it is relatively easy to make predictions based on the line of best fit, as well as to calculate the correlation coefficient(r), which can indicate the strength and direction of the linear relationship.
On the other hand, a scatterplot with a strong association means that the points in the plot are closely grouped together, indicating a high degree of correlation between the variables. It is relatively easy to make predictions based on the overall pattern of the points in the scatterplot, even if there is no clear linear relationship.
So, Rafael is correct that scoring points is easiest when a scatterplot has a linear association because it is relatively easy to make predictions based on the line of best fit and correlation coefficient. And Sahana is correct that scoring points is easiest when a scatterplot has a strong association because it is relatively easy to make predictions based on the overall pattern of the points in the scatterplot.
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help plz 20 points help plz its math
Answer: A
Step-by-step explanation: