FInd area of 3 triangles

Answer:

$691.43

Step-by-step explanation:

If the sale price of the suit after a 30% discount is $484, then the sale price represents 70% of the original price (100% - 30% = 70%).

Let the original price of the suit be x. Then we can set up the following equation:

0.7x = 484

Solving for x, we can divide both sides by 0.7:

x = 484 / 0.7

x = 691.43 (rounded to two decimal places)

Therefore, the original price of the suit was $691.43 before the 30% discount was applied.

Answer:

$691.43

Step-by-step explanation:

x = original price

x - 0.30x = 484

0.70x = 484

x = 484/0.70 = 691.43

I found this when I searched .

In the quadrilateral ABCD, the measure of ∠A is obtained as 97°.

What is a quadrilateral?

A quadrilateral is a flat shape with four edges and four corners, also known as vertices. The quadrilateral has angles at each of its four vertices, or corners. The angles at the vertices of a quadrilateral ABCD are ∠A, ∠B, ∠C, and ∠D. A quadrilateral has the following sides: AB, BC, CD, and DA.

If all four of a quadrilateral's vertices are located on the circle's circumference, it is referred to as a cyclic quadrilateral.

We may claim that ABCD is a cyclic quadrilateral in the figure below since all four of the quadrilateral's vertices—A, B, C, and D—lie on the circle's circumference.

It is known that the sum of opposite angles of a cyclic quadrilateral is 180°, so considering angles B and D we must have mathematically -

(x + 24)° + (x + 10)° = 180°

2x + 34° = 180°

2x = 180° - 34°

2x = 146°

x = 73°

So, substitute the value of x in the equation -

∠A = (x + 24)°

∠A = (73 + 24)°

∠A = 97°

Therefore, the measure of ∠A = 97°.

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The simplified form of [tex]a^2 + 2ab + b^2 / -2a[/tex] is [tex]- (a+b)^2 / 2a.[/tex]

What is an algebraic expression?

An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. Algebraic expressions are used to represent quantities or values that can vary, depending on the values assigned to the variables in the expression. Algebraic expressions can be simple or complex, and they can have one or more variables.

To simplify the expression [tex]a^2 + 2ab + b^2 / -2a[/tex], we can follow the steps below:

1) Factor the numerator [tex]a^2 + 2ab + b^2[/tex] using the formula [tex](a+b)^2 = a^2 + 2ab + b^2[/tex]. This gives us:

[tex](a+b)^2 / -2a[/tex]

2) Simplify the expression (a+b)^2 by expanding it:

[tex]a^2 + 2ab + b^2 / -2a[/tex]

3) Replace the numerator in the expression with the expanded form of [tex](a+b)^2[/tex]:

[tex](a^2 + 2ab + b^2) / -2a[/tex]

4) Distribute the negative sign across the terms in the numerator:

[tex](-a^2 - 2ab - b^2) / 2a[/tex]

5) Factor out a negative sign from the numerator:

[tex]-(a^2 + 2ab + b^2) / 2a[/tex]

6) Simplify the expression in the numerator by recognizing that it is the negative of (a+b)^2:

[tex]- (a+b)^2 / 2a[/tex]

Therefore, the simplified form of [tex]a^2 + 2ab + b^2 / -2a[/tex] is [tex]- (a+b)^2 / 2a.[/tex]

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The complement of set Q will be Q' = {2, 8}.

what exactly is a set?

In mathematics, a set is a well-defined collection of distinct objects, called elements or members, that can be anything. These objects can be numbers, letters, people, animals, or any other things that can be described in a clear and unambiguous way. Sets are usually denoted by listing their elements within curly braces, for example:

A = {1, 2, 3, 4, 5} is a set of the first five positive integers.

Now,

The complement of a set Q, denoted Q', is the set of all elements in the universal set that are not in Q. In this case, the universal set is V = {2, 4, 6, 8}.

To find the complement of Q = {4, 6}, we need to find all the elements in V that are not in Q. These elements are 2 and 8.

Therefore,

              Q' = {2, 8}.

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Answer:

(D)  All interior angles and sides are congruent

Step-by-step explanation:

In order for any polygon to be regular, all of its interior angles must be congruent to each other, and all of its sides must be congruent to each other.

The arc length of a partial circle with a radius of 7 and a central angle of 120 degrees is approximately 14.66 units.

To find the arc length of a partial circle, we need to use the formula:

arc length = (central angle in radians) × (radius)

In this case, we are given the radius, which is 7. We are also given a partial circle, so we need to find the central angle in radians.

If we look at the partial circle, we can see that it covers 120 degrees out of a total of 360 degrees for a full circle. To convert this to radians, we need to multiply by π/180:

120 degrees × π/180 = 2π/3 radians

Now we can use the formula to find the arc length:

arc length = (2π/3) × 7 = 14π/3

We can leave the answer in terms of π, or we can use a decimal approximation:

arc length ≈ 14(3.14)/3 ≈ 14.66

Therefore, the arc length of the partial circle is approximately 14.66 units.

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Cost of each haircut is $8. For each haircut she provides tomorrow, Melissa gets paid 30%. She receives ten haircuts. She receives 24.

Cost is the sum of money that a company spends to manufacture or produce goods or services. The profit margin markup is not included. Cost, as perceived from the seller's perspective, is the total amount of money used to create a good or product. Whereas "cost" refers to the group as a whole, "costs" refers to all of the parts that make up a group. "The cost of a service involves material costs and labor charges," for instance. The distinction between "cost" and "costs" frequently confounds individuals in conversations about budgets and legal contracts. The expense incurred to produce the product or service that a firm sells is typically considered its cost.

Based on the given conditions,

Formulate:

10*8*30%

Calculate.

10*8*0.3

Reorder and group.

(10*0.3)*8

Calculate.

3*8

Calculate.

24

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Therefore, Fernando's intake will be 3.9 milligrams over the average daily intake for iron.

Milligram, spelled "milligram" in standard English, is a unit of measurement for mass or weight. It is abbreviated as "mg" and is equal to one thousandth of a gram. This means that 1 milligram is equivalent to 0.001 grams.

The milligram is commonly used to measure small quantities of substances such as medications or supplements, where precise dosing is important. It is also used in scientific research to measure the mass of tiny particles or samples.

It's worth noting that the milligram is a metric unit of measurement, meaning that it is part of the International System of Units (SI). In countries that use the metric system, such as most of Europe, milligrams are used as the standard unit for measuring mass.

by the question.

Fernando's total iron intake from the cereal and protein bars is:

11.8 milligrams (from the cereal) + (2 × 3.6 milligrams) (from the protein bars) = 11.8 milligrams + 7.2 milligrams = 19 milligrams

To find out how many milligrams over the average daily intake for iron Fernando's intake will be, we can subtract the average daily intake from his total intake:

19 milligrams - 15.1 milligrams = 3.9 milligrams

Therefore, Fernando's intake will be 3.9 milligrams over the average daily intake for iron.

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Answer Milligrams of iron he needs daily- 15.1

             Milligrams of iron in his breakfast cereal- 11.8

             Milligrams of iron in one of his protein bars- 3.6

Step-by-step explanation: it because you have to read the question carefully of what their asking and your answer will be there if u read carefully I hope this help!!

Therefore, the expected amount paid to the company under this policy during a one-year period is $4850.

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain. Probabilities can be calculated using different methods, depending on the nature of the event and the available information. In many cases, probabilities are estimated based on observations or data, and statistical methods are used to quantify the uncertainty or variability in the estimates. Probability theory is used in many areas of science, engineering, economics, finance, and other fields to model and analyze complex systems and phenomena, make predictions, and make decisions under uncertainty.

Here,

Let X be the random variable that represents the number of major snowstorms that shut down business in a year. Since X has a Poisson distribution with mean 1.5, we have:

P(X = 0) = [tex]e^{-1.5}[/tex]* (1.5⁰ / 0!)

≈ 0.2231

P(X = 1) = [tex]e^{-1.5}[/tex] * (1.5¹ / 1!)

≈ 0.3347

P(X = 2) = [tex]e^{-1.5}[/tex] * (1.5² / 2!)

≈ 0.2510

P(X = 3) = [tex]e^{-1.5}[/tex] * (1.5³ / 3!)

≈ 0.1255

The expected value of X is E(X) = λ = 1.5, which means the expected number of major snowstorms per year that shut down business is 1.5.

The policy pays nothing for the first snowstorm, so the expected amount paid for the first snowstorm is 0. For each subsequent snowstorm, the policy pays $9700. Therefore, the expected amount paid to the company under this policy during a one-year period is:

E(amount paid) = 0 + 9700 * E(X-1)

= 9700 * (E(X) - 1)

= 9700 * (1.5 - 1)

= $9700 * 0.5

= $4850

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The pοοl's water elevatiοn is rοughly 1.93 metres high.

A three-dimensiοnal οbject's vοlume, which is expressed in cubic units, indicates hοw much space it takes up. The symbοls fοr cubic quantities are litre and in3. Hοwever, the bulk οf an item can be used tο determine its measurements. The weight οf the οbject is typically cοnverted intο mass measurements like grams and kilοs.

Here,

We already knοw the pοοl's length and breadth, but we still need tο determine its height.

Additiοnally, we are aware οf the amοunt οf water pumped intο the pοοl, which we can adjust tο be the same as the pοοl's vοlume:

=> 260 × 140 x height = 54600

When we sοlve fοr height, we οbtain:

=> height =  54600/ (260 x 140)

=> size is 1.93 metres (rοunded tο twο decimal places)

This means that the pοοl's water elevatiοn is rοughly 1.93 metres high.

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The permutation ways that can 4 employees be promoted to general manager the first, second, third and forth weeks is 73440.

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are organized in a linear or sequential manner. For instance, the set A=1,6 has a permutation of 2, which is 1,6,1. There is no alternative way to organize the components of set A, as you can see.

Unlike to combination, where the order of the parts is irrelevant, permutation requires that the elements be ordered in a certain order.

The four qualified employees out of the available 18 can be promoted in the following ways:

[tex]P_4^{18}[/tex]=[tex]\frac{18!}{(18-4)!}[/tex]

On solving we get,

total number of ways= 73440

The total number of conceivable methods is 73440.

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30%  is the probability that a student surveyed plans to attend the school.

What does a probability simple definition entail?

The likelihood or chance that a specific event will occur is represented by a probability. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. Probability is the chance that something will happen, or how likely it is that an event will occur. When we toss a coin in the air, we use the word probability to refer to how likely it is that the coin will land with the heads side up.

  P(Boys) = 50%

  P(Girls) = 50%

 P(Boy attending) = 30%

  p = P(B)/P(Total)  = 30%/100  = 0.3  = 30%

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The strongest design in terms of minimizing threats to internal validity is pre and post-test with comparison group and randomization to group.

This design involves randomly assigning participants to two or more groups, administering a pretest to all groups, and then exposing one or more groups to an intervention before administering a posttest to all groups. By randomly assigning participants to groups, we can ensure that any differences between groups at the end of the study are due to the intervention and not to pre-existing differences between the groups. By using a comparison group, we can compare the outcomes of the group receiving the intervention to the outcomes of the group not receiving the intervention, thus providing a more accurate measure of the effectiveness of the intervention. Additionally, by administering both a pretest and a posttest, we can measure any changes in the outcome variable over time and attribute those changes to the intervention. In contrast, a posttest-only design is weaker in terms of internal validity because it does not provide a measure of any pre-existing differences between groups. Similarly, a pretest-only design does not provide a measure of changes over time due to the intervention. Finally, a pre and posttest design with no comparison group does not allow for the comparison of outcomes between groups and thus cannot measure the effectiveness of the intervention.

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To find the radius of the sink drain, we can use the formula for the diameter of a circle:

d = 2r

where d is the distance across the sink drain, and r is the radius.

Substituting the given value, we get:

3.8 cm = 2r

Dividing both sides by 2, we get:

r = 1.9 cm

So the radius of the sink drain is 1.9 cm.

To find the circumference of the sink drain, we can use the formula:

C = 2πr

where C is the circumference, and r is the radius we just found.

Substituting the value of r, we get:

C = 2π(1.9 cm)

C ≈ 11.94 cm

So the circumference of the sink drain is approximately 11.94 cm.

The distance form the point A to point B is equal to 618.76 feet according to the trigonometric laws.

Given that beacon-light is 104 feet above the water.

Also ∠A = 7° and ∠B = 24° with respect to the ground and the light house.

Sketch part from the above information attached below.

Let's say that the lighthouse is "O".

According to the trigonometric laws:

Tan ∝ = opposite side / adjacent side

Now, we need to find accordingly.

⇒ Tan 7°=104/AO

A0 = 104/Tan 7°

AO ≈ 852.46

Similarly,

Tan 24°= 104/BO

BO = 104/ tan 24°

BO ≈ 233.7

Now, we need to find the distance from point A to point B.

AB = AO-BO

AB = 852.46-233.7

AB = 618.76 feet

Therefore, the distance from point A to point B is 618.76 feet.

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The surface area of the given figure is 195 cm². When a figure is composed of two cubes, we can calculate its surface area by finding the sum of the surface areas of each cube.

The surface area of a cube is given by the formula:

SA = 6s²

where,

s is the length of a side of the cube.

Therefore, to calculate the surface area of a figure composed of two cubes, we need to know the length of the sides of each cube.

Once we have the length of the sides of each cube, we can find the surface area of each cube using the formula above. We can then add the surface areas of both cubes and subtract the area of the face where they meet (if applicable).

For example, if one cube has sides of length 5 cm and the other cube has sides of length 3 cm, we can calculate the surface area of each cube as follows:

Surface area of first cube = 6(5)² = 150 cm²

Surface area of second cube = 6(3)² = 54 cm²

We can then add these values to find the total surface area of the figure:

Total surface area = 150 + 54

                              = 204 cm²

If the two cubes share a face, we need to subtract the area of that face from the total surface area. For example, if the two cubes share a face of length 3 cm, we can calculate the area of that face as:

Area of shared face = 3² = 9 cm²

We can then subtract this value from the total surface area to get the final answer:

Final surface area = Total surface area - Area of shared face

                              = 204 - 9 cm²

                              = 195 cm²

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Answer:

The answer for iready is 186

Step-by-step explanation:

check the comments on the first answer

Answer: The solution for the set will be a= 1, (or) a= -5 / 6

(1, -5/6)

Step-by-step explanation:

You have to split the terms of the equation up to find the answer.

The formula for the area of a triangle is A = 1/2bh, where b is the base and h is the height. the Area for different heights using the equation and plot the coordinates on the graph.

The formula for the area of a triangle is A = 1/2bh, where b is the base and h is the height. To find the area of a triangle with a base of 5 units and a height of x units, the algebraic expression is A = 1/2(5)(x). The ordered pair (height, area) can be graphed by plotting points on the coordinate plane. To plot the first point, simply plot the height on the x-axis and the area (calculated using the equation above) on the y-axis. For example, if x = 3, then A = 1/2(5)(3) = 7.5. This point would be (3, 7.5). To plot the other points, continue to calculate the area for different heights using the equation and plot the coordinates on the graph.

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For given functions, The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x).

What is the definition of a function?

A function is a mathematical rule that gives each input value a distinct output value. A function is officially defined as a collection of ordered pairs (x, y) in which each input value x is coupled with exactly one output value y. The domain of the function refers to the input values, while the range refers to the output values. A graph, table, equation, or verbal explanation can all be used to depict a function. When the input value is x, the notation f(x) is commonly used to express the output value of a function f.

Now,

From given function f(x) and g(x)

For f(x) when x=0 then y=1 or y-intercept=1

for g(x), the y-intercept is 1 from equation y=4x+1

and slope of g(x)=4

and slope of f(x)=(11-1)/(2-0)

=10/5

=2

Hence,

           The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x).

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The number of different outfits that are possible for Hank is given as follows:

H. 90.

The Fundamental Counting Theorem states that if there are n independent trials, each with [tex]n_1, n_2, \cdots, n_n[/tex] possible results, the total number of outcomes is calculated by the multiplication of the number of outcomes for each trial as presented as follows:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

The number of each of the options is given as follows:

Hence the total number of options is obtained as follows:

5 x 6 x 3 = 90 options.

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Answer:

Y=2x-5

Step-by-step explanation:

Answer:

the answer is 2600π or in other words 8168.1

Answer:

The answer is 360 pi

Step-by-step explanation:

I don't really have an explanation, I just took the test

The difference between the weights of the heaviest apple and the lightest apple is [tex]\frac{7}{16}[/tex] pound.

Students in Mr. Lee's class weigh apples of all shapes and sizes. They weigh each apple to the closest 1/16 pound.

We can compare the weight or mass of objects using one of two words: lighter. And anything weighs less when it is lighter than something else. We also frequently use the phrase heavier as a comparison. When something weights more, this happens.

So we need to figure out how much fruit Raman sold overall last year, including apples and oranges. In order to do this, which contains information about sales from the previous year. Also, we must add the weight of the apples and oranges that Raman sold the previous year in order to calculate the overall weight of the fruit.

Given, Apple weights.

= Weight of heaviest apple = 1/2 pound- & N 18 pound 16

> weight of lightest apple = 1/6 pound. N

Difference [tex]\frac{8}{16}[/tex] - [tex]\frac{1}{16}[/tex] =[tex]\frac{8-1}{16}[/tex]=[tex]\frac{7}{16}[/tex] pound

(Answer) Hence the difference is [tex]\frac{7}{16}[/tex] pound.

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The probability from the given dot plot is a. The probability of P(30) is: P(30) = 3 / 11 b. P (20) = 4 / 11 c. P (more than 20) = 5/11.

A probability that has been established by a series of tests is called an experimental probability. To ascertain their possibility, a random experiment is conducted and iterated over a number of times; each iteration is referred to as a trial. The goal of the experiment is to determine the likelihood that an event will occur or not. It might involve spinning a spinner, throwing a coin, or using a die. The probability of an occurrence, expressed mathematically, is equal to the total number of trials divided by the instances in which the event happened. Try flipping a coin 30 times and noting whether you get heads or tails each time.

From the given dot plot the total number of students surveyed are 11 students.

a. The probability of P(30) is:

P(30) = 3 / 11

b. P (20) = 4 / 11

c. P (more than 20) = 5/11

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The three angles οf the triangle measure 155°, 10°, and 15°.

A triangle is a three-sided pοlygοn with three vertices. The triangle's internal angle, which is 180 degrees, is cοnstructed.

Let the measures οf the οther twο angles be 2x and 3x, since they are in a ratiο οf 2:3.

We knοw that the sum οf the angles in a triangle is 180°, sο we can set up an equatiοn:

155° + 2x + 3x = 180°

Simplifying and sοlving fοr x, we get:

5x = 25°

x = 5°

Therefοre, the measures οf the οther twο angles are:

2x = 2(5°) = 10°

3x = 3(5°) = 15°

Sο the three angles οf the triangle measure 155°, 10°, and 15°.

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Complete question:

One angle of a triangle measures 155°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answer:

-2(x-3)^2+2

Step-by-step explanation:

Answer:

1.

Step-by-step explanation:

no need to explain. its simple math

Answer:

82cm squared

Step-by-step explanation:

1. Find the area of the whole rectangle.

(3+4)x(3+10)

7x13=91

2. find the area of the triangles together

Dimensions of both triangles 3 and 3

3x3=9

Divide by 2 because this is a triangle, not a rectangle

9/2=4.5

Do the same for the other triangle because they are the same size      (3x3=9 9/2=4.5)

Add the area of the triangles together.

4.5+4.5=9

3. Subtract the area of the triangles from the area of the full rectangle

91-9=82cm squared

To draw a distance vs time graph for this problem, we would plot the distance on the y-axis and time on the x-axis. We would start at time t = 0, which is 8:59 am, and plot the distance that Suzette has traveled up to that point.

How to do?

For the first hallway, Suzette runs 35.0 m at a speed of 3.50 m/s. This means she covers this distance in 10 seconds (35.0 m / 3.50 m/s). So at t = 10 seconds, we would plot a point on the graph at a distance of 35.0 m.

For the second hallway, Suzette covers 48.0 m at an average speed of 1.20 m/s. This means it takes her 40 seconds (48.0 m / 1.20 m/s) to cover this distance. So at t = 50 seconds, we would plot a point on the graph at a distance of 83.0 m (35.0 m + 48.0 m).

For the final hallway, Suzette covers 60.0 m at a speed of 5.00 m/s. This means she covers this distance in 12 seconds (60.0 m / 5.00 m/s). So at t = 62 seconds, we would plot a point on the graph at a distance of 143.0 m (35.0 m + 48.0 m + 60.0 m).

To determine if Suzette makes it to class on time, we need to find how many seconds she arrives before or after the bell, which rings at t = 60 seconds. Suzette arrives at t = 62 seconds, which means she is 2 seconds late for class.

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