The angle measure of the base angles of an isosceles triangle are represented by x and the vertex angle is 3x + 10. Find the measure of a base angle. a. 112° b. 42.5 c. 340 d. 16°​

Answer:

2.3w - 7 + 8.1 - 3w = -3w + 2.3w + 8.1 - 7

= -0.7w + 1.1

This is the result of performing the operations in the given order: subtracting 7 from 8.1, subtracting 3w from 2.3w, and adding the results. The expression simplifies to -0.7w + 1.1

Step-by-step explanation:

Answer:

5.3w + 1.1

Step-by-step explanation:

Combine like terms

2.3w - (- 3w) = 5.3w

- 7 + 8.1 = 1.1

Answer

5.3w + 1.1

Answer:

$7910.3

Step-by-step explanation:

Given data

P=$3572

n=4

T=16 years

R= 5%

The compound interest is expressed as

A= P(1+r/n)^nt

Substitute

A=3572(1+0.05/4)^16*4

A=3572(1+0.0125)^64

A=3572(1.0125)^64

A=3572*2.21453241061

A=$7910.3

Answer:

For the first one.

and the second:

Step-by-step explanation:

I really and highly recommend you to use desmos when doing graphs cause it helps a lot and especially with anything!!! gl : )

Answer:

Step-by-step explanation:

D'E'

Answer:5

Step-by-step explanation:

rate of change is the same thing as slope (or m)

The required rate of change for the given equation y = 5x + 25 is 5.

Given that,
For the given equation y =5x +25 the rate of change is to be determined.

The slope of the line is the tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

The rate of change is defined as the change in value with the rest of the time is called rate of change.

Here,
The given equation,
y = 5x + 25
Differentiate the above equation with respect to x,
dy/dx = d(5x +25)/dx
dy/dx = 5dx/dx + d25/dx

dy/dx = 5      (since dx/dx =1 and d25/dx = 0)
here dy/dx is the slope of the equation or m or rate of change = 5

Thus, the required rate of change for the given equation y = 5x + 25 is 5.

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The best discrete variable of measurement for the situation is an interval.

Finding the scale of measurement for the variables is the next step in selecting a statistical test after identifying the independent and dependent variables. The dependent variable must be measured using an interval or ratio scale for each of the parametric tests that we have covered so far. Many psychologists also subject variables with roughly interval scales of measurement to parametric tests. You must decide whether to use "scale" or "interval" scores when performing parametric tests of means.

Given the condition about whether the race of the defendant has an impact on jury verdicts,

and measure on a 1 (not at all) to 7 (very) scale how guilty the defendant,

The best scale of measurement for the condition is an interval.

Although the interval scale has characteristics of nominal and ordered data, it also allows for the quantification of data point differences. The variables' actual positions in the order as well as their differences are both displayed by this form of data. They can be combined or split, but not added to or subtracted from. 

The fact that zero is an existing variable adds another characteristic to this scale. Zero in the ordinal scale indicates that there is no data.

Hence the scale of measurement is an interval.

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Answer:

h = 14.49 feet.

Step-by-step explanation:

From the attached figure,

Base = 14 ft

Height = h

Angle = 46°

We need to find the height of the main sail. To find it we can use trigonometry.

The relation between height, base and angle is given by :

\(\tan\theta=\dfrac{\text{Height}}{\text{Base}}\\\\\tan(46)=\dfrac{h}{14}\\\\h=\tan(46)\times 14\\\\h=14.49\ ft\)

So, the height of the main sail is 14.49 feet.

If a satellite flies 114550 miles in 22.91 hours, then it will flies 34850 miles in 6.97 hours

Given,

The total distance flies by the satellite = 114550 miles

Time taken = 22.91 hours

Speed of the satellite = Distance / Time taken

\(\frac{114550}{22.91} =5000\) miles per hour

The total distance flown by the satellite in 6.97 hours

Distance = Speed × Time

= 5000×6.97

=34850 miles

Hence, if a satellite flies 114550 miles in 22.91 hours, then it will fly 34850 miles in 6.97 hours

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Answer:

16

Step-by-step explanation:

First you figure out how many days are in 4 weeks which is 28. Then you do 448 divided by 28 which equals 16. There's your answer.

Draw the circle with the center at the intersection of the perpendicular bisectors and the radius equal to the distance found in step 4.

When constructing a circle circumscribed about a triangle, the following step is needed:

Identify the three vertices of the triangle.

Let's say the triangle has vertices A, B, and C.

Find the perpendicular bisectors of the triangle's sides.

For each side of the triangle, construct a line that is perpendicular to the side and passes through its midpoint.

Locate the point of intersection of the perpendicular bisectors.

The point where all three perpendicular bisectors intersect is the center of the circumscribed circle.

Measure the distance from the center to any of the triangle's vertices.

This distance is the radius of the circumscribed circle.

By following these steps, you can construct a circle that passes through all three vertices of the triangle. This circle is known as the circumscribed circle or circumcircle of the triangle. It is unique to each triangle and provides a useful geometric property that can be applied in various mathematical and geometric contexts.

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Answer:

x=12

Step-by-step explanation:

1525.5-1075.5= 450 $

So they have 450$ in their meals per player budget.

You should divide 450 by 37.5 to find the number of players they can bring.

450 : 37.5= 12

Therefore, the team can bring 12 players to the tournament

Answer:

They are similar because \(\frac{3}{6}\) = \(\frac{30}{60}\)

Explanation:

From seeing the shapes and their side lengths; which are similar; the ratio of length to width is also same for both: 30 : 60 → 3 : 6 → 1 : 2

Therefore, the shape is similar which cancels every not similar options.

They are similar because \( \sf \frac{3}{6} = \frac{30}{60} \)

If we check the equality of these fractions, we get the same answer on both sides i.e. LHS=RHS which is the proof that both the rectangles are similar!~

The point that is 5 units from W is (A) (-5, 2)

The point is given as:

W= (-5, -3)

A point 5 unit from W can be any of the following

W' = (-5 ± 5, -3)

W' = (-5, -3 ± 5)

When the above expressions are evaluated, we have:

W' = (0, -3), (-10, -3), (-5, 2) and (-5, -8)

Hence, the point that is 5 units from W is (A) (-5, 2)

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Answer:

16 - Original number of chocolates in the box.

Step-by-step explanation:

C = 6 / (3/8) =6 x (8/3) =48 / 3 = 16

Answer:

ummmmm 12.......................

Step-by-step explanation:

The method of variation of parameters or the method of undetermined coefficients to find the solution.

a. True

The method of solving a second-order linear homogeneous ODE using the characteristic polynomial and the quadratic formula applies only to equations with constant coefficients. The general form of such an equation is:

a(d^2y/dt^2) + b(dy/dt) + cy = 0

where a, b, and c are constants.

However, the given ODE has a non-constant coefficient in the term (7t^3+cost)dy/dt. Therefore, we cannot use the same method to solve it as we use for equations with constant coefficients.

Instead, we need to use other methods like the method of variation of parameters or the method of undetermined coefficients to find the solution to this ODE.

The method of variation of parameters involves assuming that the solution to the ODE can be written as a linear combination of two functions u(t) and v(t), where:

y(t) = u(t)y1(t) + v(t)y2(t)

where y1(t) and y2(t) are two linearly independent solutions to the corresponding homogeneous ODE. The functions u(t) and v(t) are found by substituting this form of the solution into the ODE and solving for the coefficients.

The method of undetermined coefficients involves assuming a particular form of the solution that depends on the form of the non-homogeneous term. For example, if the non-homogeneous term is a polynomial of degree n, then the particular solution can be assumed to be a polynomial of degree n with undetermined coefficients. The coefficients are then determined by substituting the particular solution into the ODE and solving for them.

In summary, the method of solving a second-order linear homogeneous ODE using the characteristic polynomial and the quadratic formula is only applicable to equations with constant coefficients. For ODEs with non-constant coefficients, we need to use other methods like the method of variation of parameters or the method of undetermined coefficients to find the solution.

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Answer:

(x^3 + 3x^2 - 2x + 7)/x- 2

Expand the numerator in the above expression

(x^3 + 5x^2 - 2x^2 + 8x - 10x - 16 + 23)/(x - 2)

Rearrange the terms of the numerator in the above expression

(x^3 + 5x^2 + 8x - 2x^2 - 10x - 16 + 23)/(x- 2)

Factorize the numerator in the above expression

[x(x^2 + 5x + 8) - 2(x^2 + 5x + 8) + 23]/(x - 2)

Factor out x^2 + 5x + 8

[(x -2)(x^2 + 5x + 8) + 23]/(x - 2)

Split the fractions

(x -2)(x^2 + 5x + 8)/(x - 2) + 23/(x - 2)

Divide the common factors

(x^2 + 5x + 8) + 23/(x - 2) hope this help btw your welcome

Answer:

The answer is really option A. x^2 - x +2-5/x-1

Step-by-step explanation:

I just took the test and got it right :)

It should be (1 1/15).

The given mathematical program can be transformed into a regular linear programming problem that can be solved using the Simplex method. The objective is to maximize the summation of cj * xj, subject to the constraint ∑aij * xj ≤ bj for each row j.

To convert this into the standard form, we introduce non-negative slack variables, denoted as sj, for each constraint. The constraints then become ∑aij * xj + sj = bj, where sj ≥ 0. This ensures that all the constraints are expressed as equations rather than inequalities.

Next, we rewrite the objective function as a maximization problem by introducing non-negative surplus variables, denoted as yj, for each decision variable xj. The objective function is transformed into max ∑cj * xj - ∑Mj * yj, where Mj is a large positive constant.

By introducing the slack variables and surplus variables, we convert the original mathematical program into a standard linear programming problem that can be solved using the Simplex method. The objective is to maximize the transformed objective function, subject to the constraints in the form of equations. The Simplex method can then be applied to find the optimal solution.

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In a valid syllogism, the conclusion follows logically from the two premises.

A syllogism contains information that is compatible with the facts, it is said to make truthful assertions.  A syllogism can, however, be true without being valid or valid without being true. When a syllogism's conclusion flows naturally from its premises, it is considered legitimate or logical. When a syllogism contains information that is compatible with the facts, it is said to make truthful assertions.

Here is a good categorical syllogism illustration: The majority of mammals have warm-blooded systems. Minor: Black dogs are all animals. Consequently, all black dogs have heated blood.

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First, we need to count the number of boxes that we have in a layer

We can count the number of boxes fast

we count the number of boxes of the length (boxes with a red point) the length is equal to 6

then we count the number of boxes of the width (boxes with a blue point) the width is equal to 6

then we do the next operation

number of boxes = (l)x(w)=6x6=36

In total 36 boxes in one layer

We know that the volume of each box is 1 cubic foot therefore the volume of one layer, is 36 cubic foot

In order to know the volume of 8 layers (volume of the container), we need to multiply 36 cubic ft (volume of one layer) by 8

The volume of the container is

The answer is B

Answer:

C. \( = 36 \sqrt{7} {cm}^{2} \)

Step-by-step explanation:

\(3 \sqrt{3} \times 4 \sqrt{21} {cm}^{2} \)

\(12 \sqrt{63} {cm}^{2} = \sqrt{ {3}^{2} \times 7 } \\ = \sqrt{ {3}^{2} } \sqrt{7} = 3 \sqrt{7} \)

\(12 \times 3 \sqrt{7} {cm}^{2} \)

\(\boxed{\green{ = 36 \sqrt{7} {cm}^{2}}} \)

Answer:

Step-by-step explanation:

is there a height? Is the triangle with a 90 degrees angle? Is there any other conditions that are given?

Answer: y=(x-1)(x+3)+6

Step-by-step explanation: you do opposite x-values and then you add the y-intercept.

Closure is one of the Gestalt principles of grouping which states that elements are perceived as being grouped together if they are near each other and form a closure.

Proximity is another Gestalt principle of grouping which states that elements that are close together are perceived as being related. In the illustration below, the three squares appear to be grouped together because of their proximity to each other.

Continuity is another Gestalt principle of grouping which states that elements are perceived as being grouped together if they are arranged in a continuous line or curve. In the illustration below, the three triangles appear to be grouped together because they are arranged in a continuous line.

Illusory contours is another Gestalt principle of grouping which states that elements are perceived as being grouped together if they create an illusion of a contour or shape.

Similarity is another Gestalt principle of grouping which states that elements are perceived as being related if they have similar characteristics or features. In the illustration below, the two triangles appear to be grouped together because they are the same color and size.

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Answer:

About $3.20 in tax, $43.20 total

Step-by-step explanation:

First you want to put the percentage into a decimal, 0.08. Then you would multiply the $40 by 0.08 (tax) to get the amount of tax ($3.20). Then to find the total amount, you could either add $3.20 and $40 together or you could multiply $40 by 1.08 (this accounts for both the item and the tax) to get $43.20.

Answer:

never mind

Step-by-step explanation:

The Lewis dot structure for BF2 is:

 F     B     F

  \   /    

   B    

  /   \

 F     B     F

In this molecule, there are three atoms (one boron and two fluorine) and a total of 12 valence electrons. Boron is in group 3, so it has 3 valence electrons, while each fluorine atom has 7 valence electrons.

To form the Lewis dot structure, we first place the atoms in a linear arrangement. Each fluorine atom shares one electron with the boron atom, giving a total of two shared electrons (or one bond) between the boron and each fluorine atom. This gives us a total of four electrons (or two bonds) between the boron and the two fluorine atoms.

The remaining four electrons are placed as nonbonding electron pairs around each fluorine atom to satisfy the octet rule. Therefore, there are a total of two bonding domains and two nonbonding electron domains around the boron atom. The electron domain geometry is tetrahedral, and the molecular geometry is linear.

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