Solve for missing sides and angles of the triangle

Mr Khumalo deposited R4 550,00 over the counter at Standard Bank, the service fee would be R10,50 + (R1,95 x 46) = R99,20.

According to the results, the cash deposit over the counter (branch deposit) services at Standard Bank includes a basic fee of R10,50 plus R1,95 per R100 or part thereof.

It is with a minimum charge of R46,00. Therefore, the minimum amount that a person can be charged for a cash deposit is R46,00.

For Mr. Khumalo's deposit of R4 550,00, the service fee would be R10,50 + (R1,95 x 46) = R99,20.

Thus, the service charge will be R99,20.

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The required area of the shaded region is 11.5 sq. units

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given is a circle with center T and radius 3 units. there is a region in the circle which is shaded, we need to find that area.

So, the shaded part is composed of a right triangle and a minor sector of the circle.

To find the area of the shaded portion, we will add the area of right triangle and a minor sector

Now, area of a triangle = 1/2 × base × height

Here, base = height = radius = 3 units

And,

Area of a sector = θ/360° × π × radius²

Where, θ is the central angle.

θ = 90°

Area of the shaded region = 1/2 × 3 × 3 + 90°/360° × 3.14 × 3²

= 9/2 + 7.065

= 11.565

Hence, the required area of the shaded region is 11.5 sq. units

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For one to isolate the variable by using equation rules. Inverse inequality sign if multiplying/dividing by negative. Steps to isolate variable in inequality: Simplify, move constants with inverse operations. Divide coefficient to isolate variable. Reverse direction if using negative number.

Inequalities require you to apply the same principles as those used in equations when isolating a variable. For example, if there is an inequality 3x - 5 < 7. one can isolate the variable, by first:

Add 5 to both sides to be: 3x < 12.

Then divide both sides by 3: x < 4.

So, the variable x is one that is isolated, and the solution to the inequality is one where x < 4.

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the value of the investment when she retires is $26434.92.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

here, we have,

given that,

Leilamade a one-time investment of $12 000.00 in a

registered retirement savings plan (RRSP) at 2.65%, compounded

semi-annually.

She plans to withdraw the money when she retires in 30

years.

So, she get finally is,

using the formula we get,

$26434.92

hence,  the value of the investment when she retires is $26434.92.

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Answer:

The place value of 4 in 265 473 is 40,000

Answer:

Step-by-step explanation:

Order:

3 is in the ones place and has a value of 3

7 is in the tens place and has a value of 70

4 is in the hundreds place and has a value of 400

5 is in the thousands place and has a value of 5000

6 is in the ten thousands place and has a value of 60,000

2 is in the hundred thousands place and has a value of 200,000

The sales price of the item is £18

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

Discount = 1/3

Original price = 27

This means that

Sales price = original price * (1 - discount)

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

Sales price = 27 * (1 - 1/3)

Evaluate

Sales price = 18

Hence, the sales price is #18

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Answer:

not enough information to answer this question

Answer:

-3x²-5xeˣ-eˣ

-3eˣx²-11eˣx-6eˣ

Step-by-step explanation:

I'm going to go by the picture and not what you wrote in your title.

To find the derivative of this we have to apply the product rule

(a*b)'=

a'*b+a*b'

We plug in our numbers and get

(-3x²+x-2)'*eˣ+(-3x²+x-2)*eˣ'

Now we can evaluate the derivatives and simplify

(-3x²+x-2)'= -6x+1

eˣ'=eˣ

which means we have

(-6x+1)*eˣ+(-3x²+x-2)*eˣ

Simplify

-6xeˣ+eˣ-3x²eˣ+xeˣ-2eˣ

Combine like terms

-3x²eˣ-5xeˣ-eˣ

Now we just need to find the derivative of this

We can apply the same product rule as we did before

(-3x²eˣ)'

Let's start by factoring out the -3 to get

-3(x²eˣ)'

which is equal to

-3(x²eˣ'+x²'eˣ)

Compute this and get

-3(x²eˣ+2xeˣ)= -3x²eˣ-6xeˣ

Now let's find the derivative of the second part

(-5xeˣ)'

-5(x'eˣ+xeˣ')

-5(eˣ+xeˣ)

-5eˣ-5xeˣ

Which means we have

(-3x²eˣ-6xeˣ)+(-5eˣ-5xeˣ)-eˣ

Combine like terms and get

-3eˣx²-11eˣx-6eˣ

Answer:

Step-by-step explanation:

BASICALLY ANYTHING WITH 3

The population is all text messages she sent and the sample is the 50 text messages she randomly selected.

Answer:

240/100

Step-by-step explanation:

just multiply 24 by 10 to get hundredths

Answer: To factorize the expression 6x + 8 fully, we can first look for the greatest common factor (GCF) of the two terms. In this case, the GCF is 2.

Step 1: Factor out the GCF:

2(3x + 4)

Now, we have the expression 3x + 4 inside parentheses. This expression cannot be further factorized since there are no common factors other than 1.

Therefore, the fully factorized form of 6x + 8 is:

2(3x + 4)

Step-by-step explanation:)

The factored expression is:

Step-by-step explanation:

To factor the expression, look at its GCF (greatest common factor).

Clearly the GCF of both terms is 2. So what we do next is we divide both terms by 2 :

The result is :

And now the 2 goes outside the parenthesis:

Hence, the answer is 2(3x + 4).

The length of the rectangle equals 80 cm, and the width equals 32 cm.

Divide the length to the width, we get the ratio between them :

80 : 32

Now, we simplify by dividing them both by the same number, in this case it's 16

=> 80 : 32 = (80 : 16) : (32 : 16) = 5:2

So, the ratio between the length and the width is 5:2

Answer:

5 : 2

Step-by-step explanation:

Ratio of length to breadth

= length : breadth

= 80 : 32

= \(\dfrac{80}{32}\)

Reduce the fraction by dividing the numerator and denominator by 8:

= \(=\dfrac{80 \div 8}{32 \div 8}=\dfrac{10}{4}\)

Reduce further by dividing by 2:

\(=\dfrac{10 \div 2}{4\div 2}=\dfrac52\)

Write as ratio:  5 : 2

Given :

Two similar triangle.

To Find :

The ratio of the area of triangle abc to the area of triangle edc.

Solution :

 ΔABC ~ ΔAPQ  (AA criterion for similar triangles)

Since both the triangles are similar, using the theorem for areas of similar triangles we have :

\(\dfrac{Area \ of \ \Delta ABC}{Area \ of \ \Delta EDC} = \dfrac{AC}{EC}\\\\\dfrac{Area \ of \ \Delta ABC}{Area \ of \ \Delta EDC} = \dfrac{20+8}{20}\\\\\dfrac{Area \ of \ \Delta ABC}{Area \ of \ \Delta EDC} = 1.4\)

Therefore, ratio of area of triangle is 1.4 .

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-11)=4(x-(-3)}\)

Simplify.

\(\rm{y+11=4(x+3)}\)

Simplified to slope intercept:

\(\rm{y+11=4x+12}\)

\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation

Answer:

For the trapezoid it is the y axis.....

For the triangles it is the x axis

The series of rigid motion transformations that map polygon A to Polygon A''' are;

A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.

The series of rigid motion transformations that map polygon A to polygon A''' are;

Transformation from A to A'

Transformation from A' to A''

Transformation from A'' to A'''

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The measure οf angle 8 is 30 degrees.

An interiοr angle is a shape's internal angle. The clοsed shape with sides and vertices is a pοlygοn.

If lines l and m are parallel, then alternate interiοr angles 3 and 8 are cοngruent.

Sο if angle 3 measures 30 degrees, then angle 8 alsο measures 30 degrees.

Therefοre, the measure οf angle 8 is 30 degrees.

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The numbers 0, 1, and -1 are zeros of multiplicity 1.

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

To find the zeros of the function \(y=7x^3-7x\), we can set y equal to zero and solve for x:

\(7x^3 - 7x = 0\)

Factor out 7x:

\(7x(x^2 - 1) = 0\)

Factor the quadratic expression:

7x(x - 1)(x + 1) = 0

The zeros of the function are the values of x that make y equal to zero. From the factored expression, we see that the zeros are:

x = 0 (with multiplicity 1)

x = 1 (with multiplicity 1)

x = -1 (with multiplicity 1)

Therefore, the correct choice is: The numbers 0, 1, and -1 are zeros of multiplicity 1.

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The use of volunteer sampling means that the result of the survey is potentially misleading.

Volunteer sampling is a sampling technique in which each participant in the sample opts to join the research, as is the case for this problem, as each participant opted to join in the project to compare their cold lengths.

The drawback of this type of sampling is that it should contain lots of participants that share similar characteristics, such as desiring to weight/diet, and this may influence their recovery to cold. The participants also may lie, which can cause misleading results to the study.

Options to remove misleading conclusions is to use a different type of sampling, such as stratified sampling, as groups of people that are either short or long sleepers are compared to reach a conclusion.

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Answer:

first term (a)=-2

common difference (d)=8

Now,

87th term=a+(n-1)d

=-2+(87-1)×8

=-2+86×8

=-2+688

=686

The true statement is (c) that He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x^2, –x, –6x, and 6.

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

The expression is given as:

\(x^{2} -7x + 6\)

Expand;

\(x^{2} -6x - x +6\)

Factorize;

x(x-1) - 6 (x- 1)

Factor out x - 6

(x - 6) (x- 1)

This means that the factors of \(x^{2} -7x + 6\) are x - 1 and x - 6

Hence, the true statement is (c) that He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x^2, –x, –6x, and 6.

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Answer: Answer is C

Step-by-step explanation:

Answer:

It is not possible.

Step-by-step explanation:

The triangle is impossible to create because of the Triangle Angle Sum Therom, which states that all 3 angles in a triangle must = 180 degrees. As they haven given us 75 degrees, and 115 degrees 75+115=190 Which is more then 180, Hence it is not possible.

The complex number factors are (x+5i) and (x-5i).

The term a + bi, where a and b are real numbers, can be used to represent any complex number.

The given expression is x² + 25

Now this can be written as :

x² - [(i)²×(5)²] as we know that i² = -1.

Now we use the algebraic form of a²-b² =(a + b)(a - b) to separate it into complex factors.

or , (x+5i)(x-5i)

Therefore the complex number factors are (x+5i) and (x-5i).

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The lateral surface area of the triangular prism is 144 sq

Here, we want to calculate the lateral surface area of the triangular prism

We proceed as follows;

The formula to use is;

From the question;

h = 8 cm

a = 5 cm

b = 5 cm

c =6 cm

Inserting these values into the equation, we have;

Well formatted version of the question can be found in the picture attached below :

Answer:

Both Carlos and Irene

Step-by-step explanation:

Given the expression (28x - 8)

Carlos : 2(14x - 4)

Danny : 7(4x - 1)

Irene : 4(7x - 2)

The factored expression Given by Carlos, Irene and Danny can be expanded to check if it gives the same expression as that Given in the question :

Carlos :

2(14x - 4)

2*14x - 2*4

28x - 8

Danny :

7(4x - 1)

7*4x - 7*1

28x - 7

Irene :

4(7x - 2)

4*7x - 4*2

28x - 8

From.the expanded solutions obtained ;

Both Carlos and Irene's solution corresponds to the factored form of the original equation and are Hence correct

Answer:

A. p=0.42n

Step-by-step explanation:

2.52/6 = $0.42

$0.42 = the cost of one oranges

So,

To find the cost of n oranges you need to multiply it by 0.42

P=0.42 x n

Ex. Find the price of 4 oranges

So you're going to multiply 4 by 0.42 to get the cost of 4 oranges that will equals $1.68

The answer is p=0.42n