Angle 1 = 3x - 4
Angle 3 = 5x - 38
Find the measure of Angle 4

The total time since automobile A's departure is five hours.

You must create an expression for distance as a function of time in order to solve this. Since you are required to locate the location at which their respective distances are equal and to describe the result in terms of time, you are aware that you require that statement in those terms.

Distance = 60 km/h*(1+x) for automobile A.

Distance traveled by Car B at 75 km/h (x)

x is the time expressed in hours.

When one of those two equations surpasses the other, they are equal.

so:

60 +60x = 75x

60=15x

x=4, however, my statement is formatted to start counting when car B started moving. Therefore, the total time since automobile A's departure is five hours.

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Full question:

Two cars A and B travel along the same road in the same direction from the same starting point. Car A maintains a speed of 60 km/h and car B is at 75 km/h. But car B started one hour later. How many hours will B take to overtake A?

According to the question and after using the Pythagorean theorem the length of one side of the roof is 7.416 metres.

The Pythagorean Theorem is a mathematical formula used to determine the length of the sides of a right triangle. It is named after the Greek mathematician Pythagoras, who is credited with discovering the formula in the 6th century BC. The theorem states that the sum of the squares of the two shorter sides of the triangle is equal to the square of the hypotenuse (the longest side of the triangle). In equation form, it is expressed as a² + b² = c², where a and b are the lengths of the two shorter sides of the triangle and c is the length of the hypotenuse.

We know that the hypotenuse is 8 metres (the width of the shed) and the two shorter sides are 3 metres (the height of the walls) and y (the length of the side of the roof).
Therefore, using the Pythagorean theorem, we have:
3² + y² = 8²
9 + y² = 64
y² = 55
y = √55
y = 7.416 metres
Therefore, the length of one side of the roof is 7.416 metres.

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Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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If Ariana is buying a car for $15,812and  will repay the rest with 24 equal monthly payments. Her payment each month will  be:  $450.50.

Using this formula to find the monthly payment

Monthly payment = Cost of car - Amount paid in cash / Number of repayment month

Let plug in the formula

Monthly payment = ($15,812 - $5,000)/24

Monthly payment = $10,812 /24

Monthly payment = $450.50

Therefore the correct option is B.

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Answer:

False

Step-by-step explanation:

68% falls between the first standard deviation from the mean.

plus minus two would fall under 95%

Answer:

3/4 or 0.75

Step-by-step explanation:

1. Cross multiply: (1/2) / (3/4)

2. 1 x 3 = 3 and 2 x 2 = 4

3. 3/4 or 0.75

The rotation of line will result in the graph A

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the line be represented as m

Now , the line m is depicted on the graph

And , when a line is rotated in a plane, the possible results are:

A rotation of 0 degrees: The line stays in its original position.

A rotation of 180 degrees: The line rotates half way around and ends up pointing in the opposite direction.

A rotation of any angle between 0 and 180 degrees: The line rotates by that angle, either clockwise or counterclockwise, depending on the direction of the rotation.

Hence , the rotation of line is solved and is graph A

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If Shaheen has many triangular piece, each of area 1 sq. Unit and many rectangular piece, each of area 2 sq. Unit  she arranges these to form the given shape then the area of shape is 14 Square Units .

The Area of one triangular piece is given as = 1 Sq . Unit ;

The Area of one rectangular piece is = 2 Sq. Unit ;

From the shape given below ,

we can see that the shape has 4 triangular pieces and 5 rectangular pieces .

So , total area of given shape is ⇒\(4\times Area Of Triangle + 5\times Area Of Rectangle ;\\\)

Substituting the values of Area ,

we get ;

\(Total Area = 4\times 1 +5\times 2\)

= \(4+10\)

= 14 Sq . Units .

Therefore , the area of the given shape is 14 Sq. Units .

The given question is incomplete , the complete question is

Shaheen has many triangular piece, each of area 1 sq. Unit and many rectangular piece, each of area 2 sq. Unit .

If she arranges these to form a shape as shown below, what would be the area of this shape ?

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Answer:

If you are only measuring sq ft of one wall the answer would be 136 sq ft. If it is asking for all four walls, then the answer would be 544

Step-by-step explanation: I figure it out by doing 16*8.5, which gave me 135 sq ft fo each wall. Then I multiplied it by 4 to get 544 sq ft.

what's the question ? is there something you don't understand

The order of the given reaction is first and the rate constant of the given reaction is 0.346 M⁻¹ s⁻¹.

To determine the order of the reaction, we need to examine the relationship between the concentration of the reactant and the reaction rate. One way to do this is to plot the natural logarithm of the concentration versus time and observe the slope of the resulting line.

From the given data, we can construct the following table

[A](M)            ln[A]               1/[A]

0.00                 -                    -

20.0               -0.693           0.050

40.0               -0.944           0.025

60.0               -1.19               0.017

80.0               -1.44              0.013

100.0             -1.69              0.010

Plotting ln[A] versus time yields a straight line, indicating that the reaction is first order with respect to [A].

To determine the rate constant (k), we can use the first-order integrated rate law

ln([A]t/[A]0) = -kt

where [A]t is the concentration of A at time t, [A]0 is the initial concentration of A, and k is the rate constant.

From the table, we can see that when [A] = 20.0 M, ln([A]t/[A]0) = -0.693. Plugging in the values and solving for k gives

k = -ln([A]t/[A]0)/t

k = -(-0.693)/(2.002)

k = 0.346 M⁻¹ s⁻¹

Therefore, the value of the rate constant for this reaction is 0.346 M⁻¹ s⁻¹.

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The order of the given reaction is first and the rate constant of the given reaction is 0.346 M⁻¹ s⁻¹.

To determine the order of the reaction, we need to examine the relationship between the concentration of the reactant and the reaction rate. One way to do this is to plot the natural logarithm of the concentration versus time and observe the slope of the resulting line.

From the given data, we can construct the following table

[A](M)            ln[A]               1/[A]

0.00                 -                    -

20.0               -0.693           0.050

40.0               -0.944           0.025

60.0               -1.19               0.017

80.0               -1.44              0.013

100.0             -1.69              0.010

Plotting ln[A] versus time yields a straight line, indicating that the reaction is first order with respect to [A].

To determine the rate constant (k), we can use the first-order integrated rate law

ln([A]t/[A]0) = -kt

where [A]t is the concentration of A at time t, [A]0 is the initial concentration of A, and k is the rate constant.

From the table, we can see that when [A] = 20.0 M, ln([A]t/[A]0) = -0.693. Plugging in the values and solving for k gives

k = -ln([A]t/[A]0)/t

k = -(-0.693)/(2.002)

k = 0.346 M⁻¹ s⁻¹

Therefore, the value of the rate constant for this reaction is 0.346 M⁻¹ s⁻¹.

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Answer:

(0,-5)

Step-by-step explanation:

Answer:

4x=-12

Step-by-step explanation:

Let a number = X

So

The product of four and a number is negative twelve

4x=-12

Answer:

DPB

Step-by-step explanation:

Verticle angles are congruent

m∠APC = m∠DPB

u is in the plane spanned by the columns of A.

What is System of linear equations?

A system of equations is a collection of one or more equations with several variables. The variable mappings that satisfy all component equations—that is, the places where all of these equations intersect are the solutions of systems of equations.

Yes, u is in the plane in R3 spanned by the columns of A. The fact that the last row of the reduced matrix is [0 0 0] doesn't necessarily mean that u is not in the plane spanned by the columns of A. It only means that the system of linear equations represented by the matrix has no non-trivial solution.

In this case, u being in the plane spanned by the columns of A means that u can be written as a linear combination of the columns of A. This can be confirmed by solving the following system of linear equations:

3x - 5y + z = 0

-2x + 6y + z = 4

x + y + z = 4

Since there is a solution x = 1, y = 2, z = 1, it means that u can be written as a linear combination of the columns of A, and therefore u is in the plane spanned by the columns of A.

Hence, u is in the plane spanned by the columns of A.

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Answer:

1.

Step-by-step explanation:

0.36 + 0.64 = 1

Amy's mistake was she took the angles as alternate interior angles, rather they form supplementary angles. The measure of both angles are  118 and 62.

The alternate interior angles theorem states that if a transversal connects two parallel lines, the alternate interior angles are identical in size. If we know the measure of the corresponding alternate interior angle, we may use this theorem to determine the measure of the alternate interior angle.

As per the given question,

both angles are not alternate interior angles,

rather both of the angles are supplementary angles.

This means that both form the sum of 180

⇒ 3n - 47 + n + 7 = 180

⇒ 4n - 40 = 180

⇒ 4n = 220

⇒ n = 55

∴ The measure of both angles will be 3n - 47 = 118 and n + 7 = 62

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Answer:

subtracting 1 from 3 is the correct answer of this question

The first step in simplifying the expression is subtracting 1 from 3.

Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Step 1:

12 = [ (3 – 1) + 4] x 6  [ subtracting 1 from 3 ]

Step 2:

12 = [ 2 + 4 ] x 6 [ adding 2 and 4 ]

Step 3:

12 = 6 x 6 [ multiplying 6 and 6 ]

Step 3:

12 = 12

Thus,

The first step is subtracting 1 from 3.

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The probability that the teacher chooses all four girls is approximately 0.048, or 4.8%.

To find the probability of choosing all four girls, we need to determine the total number of ways to choose four students from the group of boys and girls, as well as the number of ways to choose four girls.

The total number of ways to choose four students from a group of 6 boys and 7 girls is given by the combination formula:

C(13, 4) = 13! / (4!(13-4)!) = 715

The number of ways to choose four girls from a group of 7 girls is given by the combination formula:

C(7, 4) = 7! / (4!(7-4)!) = 35

Therefore, the probability of choosing all four girls is:

P(All four girls) = Number of ways to choose four girls / Total number of ways to choose four students

= 35 / 715

≈ 0.048

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Answer:

3x^2 - 8x - 1

Step-by-step explanation:

(2x^2-4x+3) + (x^2-4x-4)​

First you take off the brackets:

2x^2-4x+3 + x^2-4x-4

Then combine the like terms:

2x^2 + x^2 = 3x^2

-4x - 4x = -8x

3 - 4 = -1

And finally write in Standard form (largest to smallest value):

3x^2 - 8x - 1

Answer:

Answers below

Step-by-step explanation:

Answer for 10

6x3=18 --> 18×4=72

6x6=36 --> 36x2=72

72+72=144

144

Answer for 11

18x6=108 --> 108x2=216

20x6=120 --> 120x2=240

20x18=360 --> 360x2=720

216+240+720=1176

1176

Answer for 12

10x7=70 --> 70x2=140

20x7=140 --> 140x2=280

20x10=200 --> 200x2=400

140+280+400=820

820

Answer for 13

16x16=256 --> 256x4=1024

16x20=320 --> 320x2=640

1024+640=1664

1664

Sorry I forgot how to calculate triangles.

Answer:C

Step-by-step explanation: 2x=8 so x=4

Answer:

1/2 or 0.5

Step-by-step explanation:

i asked for help BRAINLYEST

Answer:

I got 1/2 / 0.5

so maybe you put it in the wrong place

Step-by-step explanation:

In order to find the values of x and y, let's compare both values of x given:

So we have that x = -14 and y = -5.

Answer:

B.

Step-by-step explanation:

It was just angled in a different way

Answer:

10082.36cm²

Step-by-step explanation:

The formula for volume of a cone: V = [(3.14) r²](h/3)

Steps:

1. Find the value of the radius: 1/2 of the diameter (26/2) = 13cm

2. Find the value of the height: 31cm

3. Plugin: [(3.14) 13²] (31/3)

Solve for the volume of the cone:

a) 13² = 169

b) 169(pi) = 530.66

c) 530.66 (31/3) = 530.66 (10.3333)

Volume of cone: 5483.31

The formula for volume of hemisphere is 1/2[(4/3)3.14{r³}]

Steps:

1. Find the value of the radius: 13cm

2. Solve for the volume of the hemisphere

1. 13x13x13 = 2197

2. 2197 (3.14) = 6898.58

3. (4/3) 6896.58 = 9198.1067

4. (1/2) 9198.1067 = 4599.05

Add the two volumes together:

4599.05+5483.31 = 10082.36cm²

This took forever since I used the google calculator, but it got done after forever! Hope this helps!

The Volume of the figure is 10,082.53 cm³.

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.

Volume is a three-dimensional quantity used to calculate a solid shape's capacity.

We have a cone surmounted by Hemisphere.

So, Volume of Figure

= Volume of Cone + Volume of Hemisphere

= 1/3 πr²h + 2/3 πr³

= 1/3 x 3.14 x 13 x 13 x 31 + 2/3 x 3.14 x 13 x 13 x 13

= 5,483.48 + 4,599.05

= 10,082.53 cm³

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Answer:

The correct option is;

Never acute

Step-by-step explanation:

When an angle intercepts an ark, we have;

The legs of the angle meets with the endpoints of the arc

Therefore, given that the arc is greater than 180°, and that the angle of the arc is the angle defined at the center of the circle, while the angle defined by the inscribed angle is defined at the circumference of the circle

By circle theorem, the angle at the center is twice that at the circumference, whereby the angle of the arc > 180°, the angle at the subtended by the inscribed angle will > 180°/2, which is > 90° or an obtuse angle

Answer:

x=9, x greater then or equal to 55

Step-by-step explanation: