In ΔSTU, t = 260 cm, u = 850 cm and ∠S=166°. Find the area of ΔSTU, to the nearest square centimeter.

18

216/12

that is your operation

Answer:

you will have your money for 18 days 216 divided by 12 equals to 18.

Step-by-step explanation:

hope this helps

Answer:

1

Step-by-step explanation:

AC = 5, ao AB = 2.

This means B = -1+2 = 1.

Answer:

the unit rate is 12 or 67

Answer:

largest weight = 27.65 kg, lowest weight = 3.95 kg

Step-by-step explanation:

7:1 --> 7 + 1  = total of both ratio is 8

8 --> 31.6kg

1 --> 3.95 kg

so 7 -->  3.95 * 7 = 27.65 kg

so 1 --> 3.95 * 1 = 3.95 kg

The \(y\) and \(x\) axes in the above graph are compared to how much money Jon and Steve have, respectively. Thus, \(y=6+x\) is the pictorial representation.

A graph is referred to as a mathematical construct that connects a collection of points to express a certain function. A pairwise link between the items is established using it. The lines that link the graph's vertices (also known as nodes) are its vertices (lines).

A common technique for graphically showing data linkages is the graph. Although takes up less space, a graph accomplishes the goal of conveying which is either too many more and complicated to be completely stated in the words.

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9514 1404 393

Answer:

  x = 5.4

Step-by-step explanation:

The segment sum theorem tells you ...

  AB +BC = AC

  36 +(5x -9) = 54

  5x = 27 . . . . . . . . . . . subtract 27 from both sides

  x = 5.4 . . . . . . . . . . divide by 5

Answer:

A

Step-by-step explanation:

Dimension of the rectangular fence:

Length = 30 ft

Width = 25 ft

Perimeter of the rectangular fence = 2(L + W)

= 2(30 + 25) = 2(55)

Perimeter = 110 ft

Fencing cost per foot = $4.05

Fencing cost for 110 ft = 110 × 4.05 = $445.50

Answer:

4553332 is the answer

Step-by-step explanation:

To convert gallons to pints, we need to multiply the number of gallons by 8 (because 1 gallon equals 8 pints). Therefore:

275 gallons * 8 pints/gallon = 2,200 pints

So 275 gallons of melted cheese is equivalent to 2,200 pints.

Answer:

Ratios are proportional if they represent the same relationship.

Step-by-step explanation:

The ratios 7/14 and 20/40 are in proportion. Therefore, option D is the correct answer.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

Here,

A) 6/21 and 2/42

2/7 and 1/21

So, the given ratios are not in proportion.

B. 25/100 and 50/150

1/4 and 1/3

So, the given ratios are not in proportion.

C. 18/24 and 6/12

3/4 and 1/2

So, the given ratios are not in proportion.

D. 7/14 and 20/40

1/2 and 1/2

The given ratios are in proportion.

Therefore, option D is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Which pair of ratios is proportional?

A. 6/21 and 2/42

B. 25/100 and 50/150

C. 18/24 and 6/12

D. 7/14 and 20/40

Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

We can see that Natalie is reducing the amount she owes by $18 every two weeks.

Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.

This means that after n weeks, the amount she still owes is:

$180 - $18n

Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:

$180 - P

After two weeks, she will owe:

($180 - P) - P = $180 - 2P

After four weeks, she will owe:

($180 - 2P) - P - P = $180 - 4P

After six weeks, she will owe:

($180 - 4P) - P - P = $180 - 6P

And after eight weeks, she will owe:

($180 - 6P) - P - P = $180 - 8P

We can set up an equation using the information we have:

$180 - 8P = $108

Solving for P, we get:

P = $9

Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

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The complete question:

Natalie borrowed money from her parents to pay for a trip. ​Natalie will ​pay her parents in equal amounts every week until she pays back the ​entire amount she borrowed. ​ ​The table below shows the amount of ​money Natalie still owes her parents at the end of every two weeks for ​the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?

Week 0 = $180

Week 2 = $162

Weeks 4 = $144

Week 6 = $126

Week 8 = $108

Answer:

multiple 4×225 because there are 4 tigers and one Tiger needs 225 square feet so mutiple 4×225 and you got 900 so the answer will be 900 square feet

Answer:

I want brainliest!!! u promisteed

Step-by-step explanation:

1) 180-114 = 66

angle three = 66

360 = 70 + 70 + angle two + angle two

220 = angle two + angle two

angle two = 110

Answer:

one's place

Step-by-step explanation:

The answer to this question: B

Based on the calculations using unit pricing, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)

Saving money while shopping is one of the best ways to reduce your expenses and have more disposable income for other things. Unit pricing is a pricing system that displays prices in standard units, allowing customers to compare prices across different brands and package sizes and save money. To determine which toilet paper deal is better, we can use the unit price method, which divides the price by the number of units in the package. The toilet paper with the lower unit price is the better deal.
The formula for unit pricing is as follows:
Unit price = total price ÷ number of units
Using the above formula, we can calculate the unit price of toilet paper A and toilet paper B as follows:
For Toilet paper A:
Unit price = $4.59 ÷ 6 mega rolls
Unit price = $0.765 per mega roll
For Toilet paper B:
Unit price = $9.02 ÷ 12 mega rolls
Unit price = $0.751 per mega roll
Therefore, based on the calculations, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Unit pricing is a great way to compare prices, and consumers should always use it to determine the better deal between two products, as this will help them save money and stick to their budget.

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Therefore, the surface area of the prisms A, B, C, D, E, and F are 140, 280, 190, 377, 117, and 135 square units, respectively.

Area is a measure of the size of a two-dimensional surface or shape, usually measured in square units. It is the amount of space inside the boundary of a flat object, such as a rectangle, triangle, circle, or any other shape. The calculation of area depends on the shape of the object, but in general, it involves multiplying two or more dimensions of the object, such as the length and width of a rectangle, or the radius of a circle. The resulting area gives an idea of how much space the object takes up in the plane or on a surface.

Here,

To calculate the surface area of a prism, we need to find the area of each face and add them up.

A) This prism has a rectangular base with dimensions 5 units by 8 units and a height of 10 units. So the area of the base is 5 * 8 = 40 square units, and the area of each of the two congruent rectangular faces is 5 * 10 = 50 square units. Therefore, the total surface area of this prism is:

40 + 50 + 50 = 140 square units.

B) This prism has a rectangular base with dimensions 10 units by 12 units and a height of 8 units. So the area of the base is 10 * 12 = 120 square units, and the area of each of the two congruent rectangular faces is 10 * 8 = 80 square units. Therefore, the total surface area of this prism is:

120 + 80 + 80 = 280 square units.

C) This prism has a triangular base with base length 10 units and height 8 units, and a height of 10 units. So the area of the base is 1/2 * 10 * 8 = 40 square units, and the area of each of the three congruent triangular faces is 1/2 * 10 * 10 = 50 square units. Therefore, the total surface area of this prism is:

40 + 50 + 50 + 50 = 190 square units.

D) This prism has a rectangular base with dimensions 13 units by 5 units and a height of 12 units. So the area of the base is 13 * 5 = 65 square units, and the area of each of the two congruent rectangular faces is 13 * 12 = 156 square units. Therefore, the total surface area of this prism is:

65 + 156 + 156 = 377 square units.

E) This prism has a triangular base with base length 6 units and height 15 units, and a height of 8 units. So the area of the base is 1/2 * 6 * 15 = 45 square units, and the area of each of the three congruent triangular faces is 1/2 * 6 * 8 = 24 square units. Therefore, the total surface area of this prism is:

45 + 24 + 24 + 24 = 117 square units.

F) This prism has a pentagonal base with side length 5 units and a height of 6 units. To calculate the area of each face, we need to divide the pentagon into triangles. We can do this by drawing diagonals from one vertex to all others. This divides the pentagon into five triangles, each with a base of 5 units and a height of 6 units. The area of each triangle is 1/2 * 5 * 6 = 15 square units. Therefore, the total surface area of this prism is:

5 * 15 + 6 * 5 * 2 = 75 + 60 = 135 square units.

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The domain restrictions for (f/g)(x) are (c) x = 0, 6

From the question, we have the following parameters that can be used in our computation:

f(x) = x² - 5x - 6

g(x) = x² - 6x

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

substitute the known values in the above equation, so, we have the following representation

(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)

For the domain restriction, we have

x² - 6x = 0

When solved, we have

x =  6 or x = 0

Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6

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Question

Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions

for (f/g)(x)?

A) x = +6

B) x = 0

C) x = 0,6

D) x = -2,6

Answer:

Exact Form:

2√2

Decimal Form:

2.82842712

i think

The possible rational zeros of the the given equation are ±1, ±3, ±5, ±7, ±15, ±21, ±35, ±105.

The given equation is (t)^3-13(t)^2+65t-105=0

According to Rational Root theorem,  the possible rational zeros are the divisors of the constant term and leading coefficient that can be expressed in the form p/q.

The leading coefficient of the given equation = 1

It's divisors (q) = ±1

The constant term = 105

It's divisors (p) =  ±1, ±3, ±5, ±7, ±15, ±21, ±35, ±105

The possible rational zeros of the given equation in the p/q form: ±1, ±3, ±5, ±7, ±15, ±21, ±35, ±105.

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Answer:

-3u-2v

Step-by-step explanation:

u-(3v)-4u+(-5v)

u-4u-3v-5v

-3u-2v

Answer:

33 bags

Step-by-step explanation:

she has 4.5 ft³

she needs 54 ft³

she must get an additional

54 ft³ - 4.5 ft³ = 49.5 ft³

each bag has 1.5 ft³

(49.5 ft³)/(1.5 ft³) = 33

Answer: 33 bags

The equation of the line which is parallel to the line x = -4 will be x = -3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the equation of the line is x = -4. The y-intercept is zero for the line.

The equation of the line parallel to the equation will be,

x = -3

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Answer:

35.26°

Step-by-step explanation:

You have to visualize this or draw a diagram

If a cube has side a, the face diagonal of the cube is √2a . The diagonal of the cube is √3a

One side of length a, another side of length √2a (face diagonal) and the third of √3a form a right triangle with the angle opposite √3a being the 90° angle

Therefore we can find the angle \(\theta\)  which the cube diagonal makes with the face diagonal using the fact
\(\dfrac{a}{\sqrt{2}a} = \tan\theta\)

\(\theta = tan^{-1}\left(\dfrac{1}{\sqrt{2}\right)} \\= 35.26^\circ\)

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

\(2x+y-8=0\).

Answer:

the value of x that makes the equation true is x = 3.5.

Step-by-step explanation:

To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.

Starting with the equation:

18x + 5 - 3 = 65

First, combine like terms:

18x + 2 = 65

Next, isolate the term with x by subtracting 2 from both sides:

18x = 65 - 2

18x = 63

Finally, divide both sides of the equation by 18 to solve for x:

x = 63 / 18

x = 3.5

Therefore, the value of x that makes the equation true is x = 3.5.

The answer is:

Steps & work :

First, I focus only on the left side.

Combine like terms:

\(\sf{18x+5-3=65}\)

\(\sf{18x+2=65}\)

Subtract 2 from each side:

\(\sf{18x=63}\)

Now, divide each side by 18:

\(\sf{x=\dfrac{63}{18}\)

Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:

\(\sf{x=\dfrac{7}{2}}\)

\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)

The number of students that took all the three classes is 40

The number of students are in Group 2 is 51 students

(i) To find the number of students who have taken all three classes, we need to subtract the number of students who have taken only two classes from the number of students who have taken at least one class.

Let's call the number of students who have taken all three classes "x".

The number of students who have taken Calculus and Sociology is 15 + x.

The number of students who have taken Calculus and Spanish is 20 + x.

The number of students who have taken Sociology and Spanish is 13 + x.

Adding these three equations, we have:

15 + 78 + 72 = 15 + x + 78 + x + 72 + x

solving for x

165 = 45 + 3x

120 = 3x

isolating x

So, x = 40.

hence, 40 students have taken all three classes.

(ii) To find the number of students in Group 2, we need to add the number of students who have taken at least one class to the number of students who have taken none of the classes.

Let's call the number of students in Group 2 "y".

The number of students who have taken at least one class is

32 + 22 + 16 - 10 - 8 - 11 + 5 = 36.

Therefore, y = 36 + 15 = 51.

So, there are 51 students in Group 2.

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