Answers
Answer:
u = 14
t =8
Step-by-step explanation:
To make the triangles congruent
3u = u+28
Subtract u
3u-u = u+28-u
2u = 28
Divide by 2
2u/2 = 28/2
u = 14
12t = 16t -32
Subtract 16t
12t-16t = 16t-32-16t
-4t = -32
Divide by -4
-4t/-4 = -32/-4
t = 8
Answer:
t = 8
u = 14
Step-by-step explanation:
For the triangles to be congruent, the sides must be equal. Set each side on the first triangle equal to the corresponding side on the second triangle.
Solve.
u + 28 = 3u
28 = 2u
14 = u
12t = 16t -32
-4t = -32
t = 8
The two values for t and u are 8 and 14, respectively.
Related Questions
A delivery truck is delivering 28 cases of paper to a store. Each case has 50 packs of paper. In each pack of paper there are 200 sheets,
Which expression represents the total number of sheets of paper on the truck?
O A. (28 x 50) + 200
O B. (28 +50) x 200
OC. 28 + 50 + 200
OD. 28 x 50 x 200
Answers
Answer:
a
Step-by-step explanation:
Find the area of triangle XYZ if length XY equals 7 and length XZ equals 4.3. You also
know that angle Y equals 79°.
Answers
Answer:
A ≈ 14.8 units²
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )
where x is the side opposite ∠ X and z the side opposite ∠ Z
here y = XZ = 4.3 and z = XY = 7 , then
A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°
= 15.05 × sin79°
≈ 14.8 units² ( to 1 decimal place )
PLEADE HELP ILL WILL GIVE GAFT BRAINLIEST BRAINLIEST PLEAS EPLEASE PLEASE
Answers
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Hope this helps!
Step-by-step explanation:
Please help. I dont understand a thing. lol
Answers
Answer:
39 in²
Step-by-step explanation:
Area of triangle = 1/2 * b * h, where,
b = Base of Triangle
h = Height of triangle
Area of 4 triangles = 4 * 1/2 * 3 in * 5in
Area of 4 triangles = 2 * 3 in * 5 in
Area of 4 triangles = 30 in²
Area of square = a², where,
a = Each side of square.
Area of square = (3 in) ²
Area of square = 9 in²
Total surface area of pyramid = 30 inch² + 9 inch²
Total surface area of pyramid = 39 in²
Answer:
39 in^2 (Please mark me brainliest)
Step-by-step explanation:
3*3+3*2*5
=39
The graphs of f and g are given. (a) State the values of f(0) and g(2). f(0) = g(2) = (b) For what values of x is f(x) = g(x)? (Enter your answers as a comma-separated list.) x = (c) Estimate the solutions of the equation f(x) = −1. (Enter your answers as a comma-separated list.) x = (d) On what interval is f decreasing? (Enter your answer using interval notation.) (e) State the domain and range of f. (Enter your answers in interval notation.) domain range (f) State the domain and range of g. (Enter your answers in interval notation.) domain range
Answers
(a) The values of f(0) = 3 and g(2) = 2.
(b) The values of x for which f(x) = g(x) are -2, 2.
(c) The solutions of the equation f(x) = −1 are x = -3, 4.
(d) The interval on which f is decreasing is [0, 4].
(e) The domain and range of f are:
domain = [-4, 4].
range = [-2, 3].
(f) The domain and range of g are:
domain = [-4, 3].
range = [-0.5, 4].
How to determine the key features of the graph?In Mathematics and Geometry, a function is an equation which defines and represents the relationship that exist between two or more variables.
Part a.
By critically observing the graph of f(x) and g(x) shown in the image attached below, the corresponding output values are as follows:
f(0) = 3.
g(2) = 2.
Part b.
The values of x for which f(x) is equal to g(x) are x = -2 and x = 2;
f(-2) = g(-2) = 1.
f(2) = g(2) = 2.
Part c.
The estimated solutions of the equation f(x) = −1 are as follows;
f(-3) = -1
f(4) = -1
Therefore, x = -3, 4.
Part d.
The function f(x) is decreasing over this interval [0, 4].
Part e.
By critically observing the graph of f(x) shown in the image attached below, we can logically deduce the following domain and range:
domain = [-4, 4].
range = [-2, 3].
Part f.
By critically observing the graph of g(x) shown in the image attached below, we can logically deduce the following domain and range:
domain = [-4, 3].
range = [-0.5, 4].
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
1. A chocolate chip cookie weighs I6 grams. There afe 5 chivedate chips in the coekic. Each chocolate chip weighs 1.1 gram. What is the percent by mass of chocolate in the cookie? 2. A hydrate is a compound in which one of more water molecules is bound to each formula we can say, 1 mole of CuSO 2
.5H 2
O has 5 moles of H 2
O. (a) What is the muss of 1 mole of CuSO .5H o? Show work: (b) What is the mass of all the water in 1 mole of CuSO4.5HO? Show work: (c) What is the percent by mass of water in CuSO.5H:O ? Show work: 3. Suppose we want to determine how many waters of hydration are in calcium nitrate hydrate, Ca(NO 3
) 2
⋅XH 2
O. This problem would be similar to predicting an empirical formula, when the mass percent of each component is known. We can interpret that the simplest molar ratio between Ca(NO 3
) 2
and H 2
O is 1:X and solve for X using the following steps. (d) Find the simplest ratio of moles by dividing by the smallest of the moles calculated in (c): Show work (e) What you have essentially determined in part (d) is the molar ratio, 1: X, for Ca(NO 3
) 2
⋅XH 2
O. X= (If X is close to a whole number, report after rounding to the nearest whole number) 4. Recommended: Calculate the percent water by mass for the Alkali and Alkali Earth metal hydrates in Table-1: List of unknown compounds in this lab. Put your answers in the table, NOT, in this prelab. You will need the mass percentages during the lab.
Answers
The percent by mass of chocolate in the cookie is 34.375% which is obtained by using the arithmetic operations.
To calculate the percent by mass of chocolate in the cookie, we need to find the mass of chocolate chips and divide it by the total mass of the cookie, then multiply by 100. The mass of chocolate chips is 5 * 1.1 grams = 5.5 grams. The total mass of the cookie is 16 grams. Therefore, the percent by mass of chocolate in the cookie is (5.5 / 16) * 100 = 34.375%.
(a) To find the mass of 1 mole of \(CuSO_4.5H_2O\), we need to add up the masses of copper (Cu), sulfur (S), oxygen (O), and water (\(H_2O\)).
(b) To calculate the mass of all the water in 1 mole of \(CuSO_4.5H_2O\), we multiply the molar mass of water (\(H_2O\)) by the number of moles of water (5 moles).
(c) The percent by mass of water in \(CuSO_4.5H_2O\) is found by dividing the mass of water (from part b) by the total mass of \(CuSO_4.5H_2O\) (from part a) and multiplying by 100.
(d) The simplest ratio of moles can be determined by dividing the moles calculated in part (c) by the smallest number of moles.
(e) The value of X represents the molar ratio of \(Ca(NO_3)_2.XH_2O\).
For the calculations in the lab, the percent water by mass for the alkali and alkali earth metal hydrates in Table-1 should be determined using similar principles.
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the area of the floor in a square room is square feet. the homeowners plan to cover the floor with rows of -inch by -inch tiles. how many tiles will be in each row?
Answers
Each row in the square room will contain a certain number of tiles, determined by dividing the length of one side of the room by the length of each tile.
To find the number of tiles in each row, we need to divide the length of one side of the square room by the length of each tile. Let's denote the length of one side of the room as S and the length of each tile as L.
Since the area of the room is given in square feet, we know that S^2 = area. However, the dimensions of the tiles are provided in inches. To ensure consistent units, we need to convert the area of the room to square inches.
Once we have the area in square inches, we can proceed with the calculation. The number of tiles in each row will be S (in inches) divided by L (in inches), rounded to the nearest whole number.
Therefore, the number of tiles in each row can be found by dividing the length of one side of the room (converted to inches) by the length of each tile (in inches).
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Write the number five million four thousand three hundred
in standard form.e.g 2000=2x10*3
Answers
Five million four thousand three hundred can be written in standard form as 5,004,300.
Write the number five million four thousand three hundred in standard form?5,004,300 = 5 x 10^6 + 4 x 10^3 + 3 x 10^0.The number is composed of five millions (5,000,000), four thousand (4,000) and three hundred (300).In standard form, all numbers are written as a multiple of a power of ten. To convert the number to a multiple of a power of ten, the millions, thousands and hundreds are split apart. The millions is written as 5x10^6. This is because one million is equal to 10^6, and there are five millions. The thousands is written as 4x10^3.This is because one thousand is equal to 10^3, and there are four thousands. The hundreds is written as 3x10^0. This is because one hundred is equal to 10^0, and there are three hundreds. When the three parts are combined, the number is written as 5x10^6 + 4x10^3 + 3x10^0.This can be simplified to 5,004,300. This is the standard form of the number five million four thousand three hundred.To learn more about standard form refer to:
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Answer:
The number five million four thousand three hundred can be written in standard form as `5,004,300`. In scientific notation, it can be written as `5.0043 x 10^6`.
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hi please help i’ll give brainliest
Answers
Answer:
The answers for this question are 1 and 0
Answer:
the correct answers are 1 and 0
Two times the sum of half a number and six is four. Find the number.
Answers
Answer:
The number is:
-8
Step-by-step explanation:
2(a/2 + 6 ) = 4
2*a/2 + 2*6 = 4
2a/2 + 12 = 4
a + 12 = 4
a = 4-12
a = -8
Check:
2(-8/2 + 6) = 4
2(-4+6) = 4
2*2 = 4
How to find a side length of a right triangle with an angle and a side?
Answers
Using trigonometric functions, we can find a side length of a right triangle with an angle and a side.
What is the trigonometric ratio?Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.
Trigonometric ratios can be computed either using the provided acute angle or by calculating the ratios of the right-angled triangle's sides.
You can determine the hypotenuse by dividing the length of the side by sin(θ) if you have an angle and the side opposite to it. Alternatively, to find the length of the side next to the angle, divide the length by tan(θ).
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Find the 12th term of the arithmetic sequence whose common difference is d=9 and whose first term is a1=4.
Answers
Answer:
103
Step-by-step explanation:
A12=a1+(12-1)d
A12=4+(11)9
A12=4+99
A12=103
Can someone pls help me with this
Answers
Answer:
1.72
Step-by-step explanation:
2^.5 *3^.3 * 4^.3 / 10^.2 * 5^-.6 divided by 3^1.3 * 5^1.4 / 4^.6 * 6
= 1.41*1.39*1.52 / 1.58*1/2.63 divided by 4.17*9.52/2.30*6
{as 5^-.6 = 1/5^.6}
= 2.98/1.58/2.63 divided by 39.70/13.8
= 2.98*2.63/1.58 divided by 39.70/13.8
= 7.84/1.58 divided by 39.70/13.8
= 7.84/1.58 * 13.8/39.70
= 108.19/62.73
= 1.72
What is multiplicative property of equality?
Answers
According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.
Property of Equality:
The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.
That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.
Multiplicative Property of Equality:
According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.
The formula for this property can be expressed as for the real numbers a, b, and c.
If a × b, then, a × c = b × c.
In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.
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what is the polar coordinate of (0, pie)
Answers
Answer:
The angle's beginning and ending points are referred to as the initial and terminal sides, respectively. Distance from the origin and two angles are the three parameters of 3D polar coordinates or spherical coordinates. is a three-dimensional polar coordinate.
Step-by-step explanation:
Read above.
simplify 8.1 - 4.2+ 2/10
Answers
8.1 - 4.2 + 0.2
8.1- 4.2= 3.9
3.9+ 0.2= 4.1
The answer is 4.1.
A main task for members during the final session is to put into words what has transpired from __________.
Answers
The main task for members during the final session is to put into words what has transpired from the first to the final session.
What happens in the first session of group therapy?The group's goals should be discussed during the first few meetings, then each member's personal goals should be covered. Even small toddlers can follow and take part in these dialogues. They must be aware that the emphasis will be on defining and exploring particular issues and themes.
What is the first therapy session called?Over the years, I've discovered that assisting customers in comprehending what will occur during their initial meeting (often referred to as the "intake session") can be extremely beneficial in putting them at ease and beginning our partnership on a cordial and inviting note.
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Find the value of ∫^(π/4) cos (6x) dx. Remember: The angles for sin and cosine are always
Answers
The value of \(\int\limits^\frac{\pi }{4}_0\) \(cos (6x) dx\) is equal to 1/6 sin (6x) evaluated from x = 0 to x = π/4.
What is the result of integrating cos(6x) from 0 to π/4?To find the value of \(\int\limits^\frac{\pi }{4}_0\) \(cos (6x) dx\), we can use the integral properties and the antiderivative of cos(6x), which is 1/6 sin(6x). By applying the Fundamental Theorem of Calculus, we evaluate the antiderivative at the upper limit of integration (π/4) and subtract the value of the antiderivative at the lower limit of integration (0).
Plugging in the values, we get (1/6)sin(6(π/4)) - (1/6)sin(6(0)). Simplifying further, it becomes (1/6)sin(3π/2) - (1/6)sin(0). Since sin(3π/2) equals -1 and sin(0) equals 0, the final result is (1/6)(-1) - (1/6)(0) = -1/6.
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What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.
(a) Show your work.
(b) Is the product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7? Explain your answer
Answers
Answer:
(2x - 5 ) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x - 35
The product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7 are not equal.
Step-by-step explanation:
Product means multiplication
Product of 2x - 5 and 3x^2 + 5x - 7
(2x - 5 ) (3x^2 + 5x - 7)
= 6x^3 + 10x^2 - 14x - 15x^2 - 25x - 35
Collect like terms
= 6x^3 + 10x^2 - 15x^2 - 14x - 25x - 35
= 6x^3 - 5x^2 - 39x - 35
Product of 5x - 2 and 3x^2 + 5x - 7
(5x - 2) (3x^2 + 5x - 7)
= 15x^3 + 25x^2 - 35x - 6x^2 - 10x + 14
Collect like terms
= 15x^3 + 25x^2 - 6x^2 - 35x - 10x + 14
= 15x^3 + 19x^2 - 45x + 14
The product of 2x – 5 and 3x^2 + 5x - 7equal to the product of 5x - 2 and 3x^2 + 5x - 7 are not equal.
They both consist of different variables in their multiplier
100 - 4x = 20 + 6x; x=
Answers
Answer:
8 = x
Step-by-step explanation:
100 - 4x = 20 + 6x
100 = 20 + 10x
80 = 10x
8 = x
what is 8 4 and 5 rounded to the nearest tenth?
Answers
Answer:
8 rounded to the nearest tenth is 10.
4 rounded to the nearest tenth is 0.
5 rounded to the nearest tenth is 10.
helppppppppppp plz :) ;)
Answers
4(5)-12
Now that you have that in the way you must do pemdas so the second way to do this is to start with parenthesis
20-12
Subtract 20 by 12
Therefore your answer is going to be 8
Which equation best represents the linear function formed by the table?
Answers
Answer:
what table?
Step-by-step explanation:
A rock is dropped from a bridge 128 feet above the river. The pathway that the rock takes can be modeled by the equation h= -16t2+128. How long will it take the rock to reach the river?
Answers
Answer:
2.83 seconds
Step-by-step explanation:
In the given equation, h represents the height (in feet) of the rock above the river at time t seconds after it is dropped, and the equation is h = -16t^2 + 128.
When the rock reaches the river, its height above the river will be zero. So, we can set h = 0 in the equation and solve for t:
0 = -16t^2 + 128
Dividing both sides by -16, we get:
t^2 = 128/16
t^2 = 8
Taking the square root of both sides, we get:
t = ±√8
Since time cannot be negative, we take the positive square root:
t = √8 ≈ 2.83 seconds
Therefore, it will take the rock approximately 2.83 seconds to reach the river.
The propositional variables s and m represent the two propositions:
s: It is sunny today.
m: I will bring my umbrella. Select the logical expression that represents the statement: "Despite the fact that it is sunny today, I will bring my umbrella."
(A) s
(B) s∧m
(C) s∨m
Answers
The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m.
The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m. This is because the conjunction "and" (∧) is used to connect two statements that must both be true in order for the overall statement to be true. In this case, both s (It is sunny today) and m (I will bring my umbrella) must be true in order for the statement to be true.
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(B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."
The logical operator ∧ (conjunction) connects two propositions and represents the idea of "and." Therefore, s∧m means "It is sunny today and I will bring my umbrella." This is the logical expression that represents the statement given in the question.
To summarize, the correct answer is (B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."
Main Answer: The correct logical expression is (B) s∧m.
In the given statement, "Despite the fact that it is sunny today, I will bring my umbrella," both propositions s (It is sunny today) and m (I will bring my umbrella) are true at the same time. The logical expression that represents this is s∧m, which means "s AND m" are both true.
The statement "Despite the fact that it is sunny today, I will bring my umbrella" is best represented by the logical expression (B) s∧m, as it shows that both s and m are true.
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what is the standard deviation of the sample means called? what is the formula for this standard deviation?
Answers
The term "standard error of the mean" refers to the sample mean's standard deviation. And the formula for the standard deviation is σ/√n.
What is a standard deviation?The square root of a random variable's variance is the standard deviation of a sample, statistical population, data collection, or probability distribution. Compared to the average absolute deviation, it is algebraically easier but less reliable in practice. The standard deviation has the advantage of being represented in the same unit as the data, unlike the variance, which is a desirable characteristic.
The standard error of a statistic (such the sample mean) is related to the standard deviation of a population or sample, however they are very different. Standard deviation of the population divided by the square root of sample size yields the standard deviation of the sampling distribution of means. "Standard error of the mean" is the term for the sampling distribution's standard deviation.
The term "standard error of the mean" refers to the sample mean's standard deviation.
And the formula for the standard deviation is given by σ/√n.
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What is the value of A?
Answers
Answer:
a = 156
Step-by-step explanation:
24 and a form a straight line so they add to 180 degrees
24 +a = 180
Subtract 24 from each side
24+a-24 = 180-24
a = 156
7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 and 18 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = { vt ++3 dt Jo Answer 8. g(x) = {* In (1+tº) dt
Answers
By using Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is ln(sqrt(x + x^3)). The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is ln(1 + x^2).
The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.
So, applying this theorem, we have:
g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]
= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)
= ln(sqrt(x + x^3))
Therefore, g'(x) = ln(sqrt(x + x^3)).
Using the Fundamental Theorem of Calculus, we have:
g'(x) = d/dx [∫1_x ln(1 + t^2) dt]
= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)
= ln(1 + x^2)
Therefore, g'(x) = ln(1 + x^2).
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____The given question is incomplete, the complete question is given below:
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0. 8. g(x) = { In (1+t^2) dt} where limit are from x to 1.
Help please i need it for a grade
Answers
Answer:
(3,13 ) & (-1,5)
Step-by-step explanation:
a. 2x + 7 = x^2 + 4
b. move all terms to the left side and set equal to zero. then set each factor equal to zero. which gives you the x values 3, -1
c. substitute x with the x values to get y. 2(3) + 7 = -1^2 + 4
d. the solution is (3,13 ) & (-1,5)
To find the inverse of f(x) = 3x - 10, Jenna begins by replacing f(x) with y.
What is the next step?
A. Replace y with f'(X).
B. Subtract 10 from both sides of the equation.
C. Switch x and y.
D. Solve the equation for x.
Answers
Answer: Switch x and y
A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
To find the inverse of f(x) = 3x - 10, Jenna begins by replacing f(x) with y. The next step is to Switch x and y. And further, solve the equation for x.
Hence, the correct option is C.
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