The sides of a triangle measure 32 inches, 22 inches, and 19 inches. What is the area of the triangle? Round intermediate results to 3 decimal places and the final answer to 1 decimal place. The area of the triangle is?

BF=CE in a triangle ABC, E and F are mid points of equal sides AB and AC of triangle ABC.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given E and F are mid point of equal sides AB and AC of triangle ABC

In ΔABF and  ΔACE

AB=AC  (given )

∠A=∠A  (common angle )

The side FA is equal to EA

If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent

∴ΔABF≅ΔACE (SAS rule)

∴BF=CF ( Corresponding parts of Congruent triangles.)

Hence, in a triangle ABC, E and F are mid points of equal sides AB and AC of triangle ABC then BF=CE.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ9

Answer:

Each person will receive 12 ounces

Step-by-step explanation:

84 ounces divided by 7 people

84 / 7 = 12

On solving the expression, we get -> (8q + 8.7).

In mathematics, an expression or mathematical expression is a combination of terms, both constants and variables. For example -

2x + 4y + z

Given is the algebraic expression as -

- (- 8q - 8.7)

The given expression is -

- (- 8q - 8.7)

- (- 8q) - (- 8.7)

8q + 8.7

Therefore, on solving the expression {- (- 8q - 8.7)}, we get -> (8q + 8.7).

To solve more questions on functions & expressions, visit the link below

brainly.com/question/17613163

#SPJ9

The functions y = 2 (1/5)^(x) - 5 and y = 2^x are compared as follows

                                 y = 2 (1/5)^x - 5                y = 2^x

Starting value:               2                                    1

base function:        decay function = 1/5         growth function = 2

Transformation:     translation: 5 units down  no transformation

A decay function is a mathematical function that models the decrease or diminution of a value over time and is used in many disciplines including physics, engineering, economics, and machine learning.

It is a sort of function that, as time goes on, approaches zero at a pace proportionate to its current value.

The base function for decay functions is an exponential function, is

0 < k < 1

The growth function, which has values greater than 1, is the reverse of the decay function.

Learn more about growth function at:

brainly.com/question/27161222

#SPJ1

Answer:

Step-by-step explanation:

The method for finding the limit of a function on a calculator depends on the specific calculator you are using. Here are the general steps for finding the limit of a function using a graphing calculator:

Enter the function: Most graphing calculators have a function editor where you can enter the function you want to find the limit of.

Set the limit: To find the limit of the function at a particular point, you need to specify the value at which you want to find the limit. This is done by entering the limit expression, for example: limit(f(x), x, a) where f(x) is the function, x is the variable, and a is the value at which you want to find the limit.

Evaluate the limit: After entering the limit expression, you can evaluate it by pressing the "enter" or "=" button. The calculator will then display the limit of the function at the specified value.

It's important to note that a graphing calculator can only estimate the limit of a function based on the accuracy of the graph, so the result may not be exact. Additionally, some functions may have limits that cannot be evaluated using a calculator. In these cases, you may need to use analytical methods to determine the limit.

The angle ∠1 is 55 degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that  diagram shows an example of the Pratt truss used in bridge

construction.

We need to find the angle ∠1.

The given triangle is a right angle triangle which has one angle 90 degrees.

The adjacent angle to 145 degrees be angle 2.

145+∠2=180

∠2=180-145

∠2=35 degrees.

We know that the sum of three angles is 180 degrees

So ∠1+35+90=180

∠1+125=180

Subtract 125 from both sides

∠1=180-125

∠1=55

Hence, the measure ∠1 is 55 degrees.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ9

40 degrees Is the answer.

Hope this helps mate.

PLs give brainliest

Answer:

40

80 + (16x-4) + (9x +4) =180

x=4

BAC = (9*4+4)

BAC = 40

The inequality to represent the height of roller coaster is x≥52.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that. in order to ride a roller coaster at the theme park, riders must be at least 52 inches tall.

Let the height be x.

Now, x≥52

Therefore, the inequality is x≥52.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ9

The point (-2, 1) satisfies both equations y = x + 3 and y = 2x + 5 simultaneously.

What is graph of equation?

Write the equation in the form y = mx + b to determine the slope m and y-intercept (0, b). 2) Next, determine the y-intercept. 3) Depending on whether the slope is positive or negative, go up or down and left or right from the y-intercept.

We are looking for the values of x and y that satisfy both equations simultaneously. We can do this by setting the right-hand sides of the two equations equal to each other:

y = x + 3 (equation 1)

y = 2x + 5 (equation 2)

Setting the right-hand sides equal to each other, we get:

x + 3 = 2x + 5

Simplifying this equation, we get:

x = -2

Now that we have the value of x, we can substitute it into either of the two equations to find the corresponding value of y. Let's use equation 1:

y = x + 3

y = -2 + 3

y = 1

So, the values of x and y that make both equations true are:

x = -2

y = 1

Therefore, the point (-2, 1) satisfies both equations y = x + 3 and y = 2x + 5 simultaneously.

To know more about graph of equation visit,

https://brainly.com/question/29332221

#SPJ1

The time taken by Linda to cover 693 miles is 11 hours.

Rate of change is the speed at which the variables changes with respect to time.

In 9 hours Linda drove 567 miles.

Miles travelled in 1 hour is,

[tex]speed=\frac{distance covered}{timetaken}[/tex]------(1)

         =[tex]\frac{567}{9}[/tex]

         = 63 miles per hour.

Linda drove 63 miles per hour.

She is travel in the same rate from the beginning.

Let  t be the time taken by her to travel 693 miles is,

By using (1),

[tex]speed=\frac{distance covered}{timetaken}[/tex]

[tex]t=\frac{693}{63}[/tex]

⇒t=11 hours.

Hence, the time taken by Linda to cover 693 miles is 11 hours.

Learn more about rate of change here:

https://brainly.com/question/16202639

#SPJ9

Answer: I would say it’s D. $1,795

Step-by-step explanation: why not pick D….

Hope this helps^^

The simple interest earned on $3000 after 5 years at 5.3% rate of interest is $795. The correct option is C .

Given,

Principal amount = $3000

Rate of interest = 5.3%

Time = 5 years

Now,

Simple interest = Principal × ROI ×Time/100

Substitute the values ,

Simple interest = 3000 * 5.3 * 5/ 100

Simple interest = 79500/100

Simple interest = $795

Total amount after 5 years = $3000 + $795

= $3795

Hence simple interest earned on $3000 at ROI of 5.3% after 5 years will be $795 .

Therefore option C is correct.

Learn more about simple interest, here :

https://brainly.com/question/30964674

#SPJ4

The number of cubes that have just one red face is 25.

A solid three-dimensional shape called a cube contains six square faces, eight vertices, and twelve edges.

Given:

Meg paints the whole outside of a 5 x 5 x 5 cube red and then cuts it up into 1 x 1 x 1 cube.

The surface area of the cube with dimensions 5 x 5 x 5,

= 6 x 5 x 5

= 150 square units.

The surface area of the cube with dimensions 1 x 1 x 1,

= 6 square units.

The number of cubes that have just one red face is,

= 150/6 = 25

Therefore, 25 is the required number.

To learn more about the cube;

https://brainly.com/question/29372770

#SPJ1

Ayana is 6/5 times as tall as Chike.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Height of Ayana = 1 1/2 meter

And, Height of Chike = 1 1/4 meter

Now, We can simply solve the above problem as follows;

Height of Ayana = 1(1/2) meters

We can also write it as;

= 3/2 meters

And, Height of Chike = 5/4 meters

Hence, To compare the given fractions we will first make the denominator equal by taking the LCM.

LCM of 2 and 4 = 8

Hence, Heights of Ayana can be rewritten as, 12/8 meters

And, Height of Chike can be rewritten as, 10/8

Now, Comparing the height of Ayana and Chike as;

= (12/8) ÷ (10/8)

= 12/10

= 6/5

Hence, Ayana is 6/5 times as tall as Chike.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ1

Complete question is this,

Ayana is 1(1/2) meters tall. Chike is 1(1/4) meters tall. Complete the comparison.

Ayana is ____ times as tall as chike.

The required simplified expression result of (-4x+4) is subtracted from (-9x-7) is -5x -11.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

The expression (-9x-7) - (-4x+4) can be simplified as follows:
First, we'll combine the like terms:

-9x - 7 - (-4x + 4)

Next, we'll use the distributive property to simplify the right side:
-9x - 7 - (-4x) + 4

Combining like terms on the right side:
-9x - 7 + 4x - 4

Combining the remaining terms:
-5x -11

Thus, the requried simplified expression is given as -5x-11.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ9

Micaela paid the amount of $63.8 in the end for a concert ticket.

Subtract the final price from the original price then Divide this number by the original price. Finally, multiply the result by 100. You've obtained a discount in percentages.

Reformulate the basic equation to:

% discount = 100 × (original price - discounted price) / original price

To calculate the final price that Micaela paid, we need to apply the discount and the processing fee to the original price of the ticket.

The discount is 20% of the original price of $76, which is:

discount = 0.2 x $76 = $15.20

So Micaela paid:

price after discount = $76 - $15.20 = $60.80

Now we need to apply the processing fee. The processing fee is 5% of the price after the discount, which is:

processing fee = 0.05 x $60.80 = $3.04

So the final price that Micaela paid is:

final price = $60.80 + $3.04 = $63.84

Therefore, she paid $63.8 in the end, rounded to the nearest cent.

To learn more about the percentage discount click here:

https://brainly.com/question/16524608

#SPJ1

The value of x is given as follows:

x = 13.5.

Similar triangles are triangles that share these two features presented as follows:

The proportional relationship for the side lengths is given as follows:

9/x = 7/10.5.

Applying cross multiplication, the value of x is obtained as follows:

7x = 9 x 10.5

x = 9 x 10.5/7

x = 13.5.

More can be learned about similar triangles at brainly.com/question/14285697

#SPJ1

The " * " operator is used in MATLAB to do matrix multiplication. In MATLAB, the matrix multiplication process is based on linear algebraic principles.

So the " * " operator is used in MATLAB to do matrix multiplication. In MATLAB, the matrix multiplication process is based on linear algebraic principles. In MATLAB, the standard syntax for multiplying matrices is:

When the dimensions of A and B satisfy the matrix multiplication rule, the css copy code C = A * B can be used. Particularly, the number of rows in matrix B and the number of columns in matrix A must match.

The resulting matrix C will be the same size in terms of both rows and columns as matrix A and matrix B. Here is an illustration of how matrix multiplication functions in MATLAB:

A = [1 2; 3 4];% Define matrix A B = [5 6; 7 8];% specify matrix.

Learn more about multiplication here:

https://brainly.com/question/5992872

#SPJ4

Aiden's new hourly wage would be 16.64 per hour.

Solution:

We have been given that Aiden's hourly wage is 16.00 per hour

So, If he gets a 4% raise then his hourly wage will be,

16* (100+ 4) / 100 = 16.64

Therefore, Aiden's new hourly wage will be 16.64 per hour.

Learn more about Percentage here;

https://brainly.com/question/24877689

To solve the equation 3/4 x = -6 for x in one step, you can multiply both sides of the equation by 4/3:

3/4 x = -6

4/3 * (3/4 x) = 4/3 * (-6)

x = 8

The triangles ∆ABC and ∆DEF are similar triangles, and ∆ABC ≅ ∆DEF. The values of x and y are 30.6 and 30° respectively.

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

We have that line AC of the triangle ∆ABC corresponds to line BK of the triangle ∆DEF and also angle A of the triangle ∆ABC corresponds to angle D of the triangle ∆DEF.

We can evaluate for the values of x and y as follows:

2y - 5 = 65

2y = 65 - 5 {subtract 5 from both sides}

2y = 60

y = 60/2 {divide through by 2}

y = 30

2x + y = 90.6

2x + 30 = 90.6

2x = 90.6 - 30 {subtract 30 from both sides}

2x = 60.6

x = 60.6/2 {divide through by 2}

x = 30.3

In conclusion, the triangles ∆ABC and ∆DEF are similar triangles, and ∆ABC ≅ ∆BMK. The values of x and y are 30.6 and 30° respectively.

Know more about similar triangles here:https://brainly.com/question/14285697

#SPJ1

The total number of students in the science club will be 50. The correct option is C.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

If 10 students represent 20% of the total number of students in the Science Club, then 10 / 0.2 = 50 students is the total number.

Therefore, The total number of students in the science club will be 50. Then the correct option is C

Learn more about percentage here : brainly.com/question/24877689

#SPJ1

The equations equivalent to the given equation 3x - 4 = 5 are A) 3x = 9, B) 3x - 4 + 4 = 5 + 4 and E) -4 = 5 - 3x.

An equation is defined as a mathematical statement containing two expressions on either sides which are connected with an equal to sign.

Either sides of an equation are called as left hand side and right hand side.

Given equation is 3x - 4 = 5.

Adding the number 4 on both sides, we get,

3x - 4 + 4 = 5 + 4, which is the equation B.

Simplifying,

3x = 9, which is the equation A.

x = 3

3x - 4 = 5

Subtracting 3x on both sides of the equation,

3x - 4 - 3x = 5 - 3x

-4 = 5 - 3x, which is the equation E.

Hence the equivalent equations are A, B and E.

Learn more about Equations here :

https://brainly.com/question/29013156

#SPJ9

Your question is incomplete. Probably the correct question is as follows.

Select ALL the equations that are equivalent to the equation 3x - 4 = 5.

A) 3x = 9

B) 3x - 4 + 4 = 5 + 4

C) x - 4 = 2

D) x = 9

E) -4 = 5 - 3x

The expression that will help to find the area of the given shaded region is 3x²+27x+51.

Area is a measure of the amount of space inside a two-dimensional shape or surface. It is usually expressed in square units, such as square inches, square feet, or square meters. The area of a shape can be calculated by multiplying its length by its width, or by using a specific formula for that shape. For example, the area of a rectangle is found by multiplying its length and width, while the area of a circle is found by multiplying the square of its radius by pi (3.14). Area is an important concept in mathematics, and it is used in many real-world applications such as calculating the amount of paint needed to cover a wall, or the amount of land needed to build a house.

Here,

area of rectangle=(x+10)(2x+5)

area of square=(x+1)²

area of shaded region=area of rectangle-area of square

=(x+10)(2x+5)-(x+1)²

=2x²+20x+5x+50+x²+2x+1

=3x²+27x+51

To know more about area,

https://brainly.com/question/13194650

#SPJ1

Answer:

6x-7=3x-29

6x-3x=-29+7

3x=-23

x=-23/3

6x-7=8y+17

6(-23/3)-7=8y+17

-46-7=8y+17

8y+17+53=0

y=70/8

Y=8.75

ANS!!

From the information given, 168 cm is approximately equal to 5 feet and 6.14 inches (rounded to two decimal places).

To convert centimeters to feet and inches, you can use the following conversion factors:

1 inch = 2.54 cm

1 foot = 12 inches

First, convert the length in centimeters to inches by dividing by 2.54:

168 cm ÷ 2.54 cm/inch = 66.14 inches

Next, convert the total number of inches to feet and inches. To do this, divide the total number of inches by 12 to get the number of whole feet, and then use the remainder as the number of inches.

66.14 inches ÷ 12 inches/foot = 5 feet with a remainder of 6.14 inches

Learn more about length conversion here: brainly.com/question/29198025

#SPJ4

The number of signature on the petition in the first week is 6

A double is a number or an amount that is twice as large as the given number or amount. So, if we multiply a number by 2 or if we add a number to itself, we say that the number is doubled.

Since the signature doubles every week

represent the initial signature by x

p(o) = x

second week =2 x

third week =4 x

fourth week = 8x

fifth week =16 x

sixth week = 32x

32x = 192

x = 192/32

x = 6

therefore the number of signature on the petition in the first week is 6

learn more about doubling from

https://brainly.com/question/13893164

#SPJ1

Answer: x,2

Step-by-step explanation:

Answer:

7 x x + 7 x 2

Step-by-step explanation:

7(x + 2)

7x + 7(2)

7x + 14

The properties that are always true are: Opposite sides are congruent. Opposite sides are parallel. Opposite angles are congruent. Sum of all angles equals 360. Diagonals bisect each other.

A diagonal in mathematics is a line that joins two solids or polygons whose vertices are not on the same edge. Generally speaking, a diagonal is a sloping or slanting line that joins the vertices of a form. The term "diagonal" refers to lateral forms with sides, edges, and corners.

The properties that are always true are:

Opposite sides are congruent.

Opposite sides are parallel.

Opposite angles are congruent.

Sum of all angles equals 360.

Diagonals bisect each other.

Learn more about quadrilaterals here:

https://brainly.com/question/13805601

#SPJ1

Answer:       (1/2)c

To write an algebraic expression, convert parts of the verbal expression.

An expression is numbers or variables with operations performed between them. It does not have an equal sign.

Operations are ways we change numbers, usually to make them bigger or smaller. Examples of operations are multiplication, division, subtraction, addition, and square root.

The question says:     "half as big as last night’s crowd"

last night's crowd = c

'half as big' = 1/2

Therefore, we can represent the problem using the expression  [tex]\frac{1}{2}c[/tex].

Learn more about expressions and word problems here:

https://brainly.com/question/13818690