m∠LQP=77°. Find m∠PQR.

The area of the composite figures are:

The total area of Shape A is = 115.5 in²

and, total area of Shape B is = 51ft².

Here, we have,

from the given diagram we get,

Shape A.)

Part 1: it is a rectangle,

l= 13 and w = 7

so, area = 91 in²

Part 2: it is a triangle,

b = 7 and h = 7

so, area = 1/2 *7 * 7 = 24.5 in²

So, The total area of Shape A is = 115.5 in²

now, Shape B.)

part 1 : it is a rectangle,

l=4 and w = 6

so, area = 24 ft²

part2: it is a square,

side = 3

so, area = 9 ft²

part 3: it is a trapezium,

a = 6, b = 3, h =4

so, area = 1/2 * (6+3) * 4 = 18ft²

So, total area of Shape B is = 51ft².

To learn more on Area click:

brainly.com/question/20693059

#SPJ1

The Intel pays $7,760 to Bally Manufacturing on August 14.

The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.

The trade discount of 40% is calculated as follows:

Discount = List price × Discount rate

Discount = $13,100 × 0.40 = $5,240

So the net price of the machinery after the trade discount is:

Net price = List price - Discount

Net price = $13,100 - $5,240 = $7,860

After Intel returns $100 of machinery, the cost of the machinery is further reduced to:

Net price after return = Net price - Return

Net price after return = $7,860 - $100 = $7,760

Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.

For such more questions on pays

https://brainly.com/question/25793394

#SPJ8

Austin's rate of motion is (1/70)π Radians per second.

To determine Austin's rate of motion in radians per second, we need to use the formula for angular velocity:

ω = Δθ / Δt

Where:

ω = angular velocity (in radians per second)

Δθ = change in angular displacement (in radians)

Δt = change in time (in seconds)

We know that Austin runs three-quarters of a circular track, which means he covers an arc length that is equal to three-quarters of the circumference of the circle. Let's call the radius of the circle "r". Then, the arc length covered by Austin is given by:

s = (3/4) * 2πr

s = (3/2)πr

We also know that it takes Austin 1 minute and 45 seconds to cover this distance. This is the same as 105 seconds (since 1 minute = 60 seconds).

So, Δt = 105 seconds

Now, we can calculate the change in angular displacement (Δθ). The total angle around a circle is 2π radians, so the angle covered by Austin is given by:

Δθ = (3/4) * 2π

Δθ = (3/2)π

Therefore, Austin's rate of motion (ω) in radians per second is:

ω = Δθ / Δt

ω = [(3/2)π] / 105

ω = (3/210)π

ω = (1/70)π radians per second

So, Austin's rate of motion is (1/70)π radians per second.

To know more about Radians .

https://brainly.com/question/19758686

#SPJ11

The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

Learn more about a rectangular prism;

https://brainly.com/question/21308574

#SPJ1

The measures of the cylinder that has a diameter of 4 cm and height of 14 cm are:

i. circumference of the base = 6.29 cm.

ii. area of the base = 12.57 cm²

iii. volume = 176 cm²

The volume of a cylinder is calculated using the formula given as, volume (V) = πr²h, where:

Given the following:

i. The circumference of the base of the cylinder = πr = (22/7) * 2 = 44/7 = 6.29 cm.

ii. The area of the base of the cylinder = πr² = 22/7 * 2² = 88/7 = 12.57 cm²

iii. Volume of the cylinder = πr²h = 22/7 * 2² * 14 = 176 cm²

Learn more about the volume of cylinder on:

https://brainly.com/question/9554871

#SPJ1

Answer:

x = - 1

Step-by-step explanation:

Just by looking, we can tell that the axis of symmetry in this graph is going to be a vertical line. to make vertical lines, we start with:

x = ____

For a quadratic, the vertical line always hits the vertex. The x value of the vertex is - 1.

Therfore, the equation of the axis of symmetry is x = - 1

Will paid $46.4 for the two shirts, with 40% discount on the other.

As per the stated question-

The list price of two shorts =  $29 each.

Discount percentage 40%.

The formula for the calculation of the price after discount is-

Discounted cost = (2 × list price) – (list price × discount percentage)

Put the values.

Discounted cost = (2 × 29) – (29 × 40/100)

Discounted cost = 58 - 11.6

Discounted cost = 46.4

Thus, Will paid $46.4 for the two shirts, with 40% discount on the other.

To know more about the discount, here

https://brainly.com/question/13660799

#SPJ1

A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.

What theory directly contradicts concept of absolute zero?

All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).

Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.

Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.

Learn more about theory here:

brainly.com/question/18996125

#SPJ2

\((\stackrel{x}{-2}~~,~~\stackrel{y}{27}) ~~ \textit{lies on }\textit{\LARGE f}\qquad \textit{so then}\qquad f(\stackrel{x}{-2})~~ = ~~\stackrel{y}{27}\)

Plane ADF is another way to label Plane J.

In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.

These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.

Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.

Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.

Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.

Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.

Therefore, Plane ADF is another way to label Plane J.

For more such questions on label Plane

https://brainly.com/question/17512548

#SPJ8

Answer:

11 hours

Step-by-step explanation:

8t + 7 > 89

8t > 81 : subtract 7 from both sides

t > 10.125 : divide by 8 for both sides

t = 11 : estimate

Trey has to work 11 hours because 10 hours would only give him $87.

The inequality to find the value of x for the rectangle is 2(2x+4) < 122 and the value of x should be less than 28.5.

According to the question,

We have the following information:

The perimeter of the rectangle is less than 122.

A rectangle has a width of x and a length of x plus 4.

Now, the expressions for the width and length of the rectangle are given below:

Width = x units

Length = (x+4) units

We know that the following formula is used to find the perimeter of rectangle:

2(length+width) < 122

2(x+4+x) < 122

2(2x+4) < 122

Dividing by 2 on both sides:

2x+4 < 122/2

2x+4 < 61

Subtracting 4 from both sides:

2x < 61-4

2x < 57

Dividing by 2 on both sides:

x < 57/2

x < 28.6

Hence, the inequality to find the value of x for the rectangle is 2(2x+4) < 122 and the value of x should be less than 28.5.

To know more about inequality here

https://brainly.com/question/10681890

#SPJ1

Option D is the correct synthetic division of (x^2-4x+7) divided by (x-2)

Synthetic division is a shorthand procedure used to divide a polynomial by a linear factor of (x - a) form, in which "a" is constant. This method gives an expedient way to locate the quotient and remainder without carrying out long division.

x - 2 | x^2 - 4x + 7

            x^2 - 2x

           ---------

                 -2x + 7

                 -2x + 4

                 -------

                        3

read more on divisions here:https://brainly.com/question/31537400

#SPJ1

Answer: yum!!!

Step-by-step explanation:

Answer: 575

Step-by-step explanation:

Answer:

9x = 63

x = 63/9

x = 7

hope it helps!

Answer:

7

Step-by-step explanation:

7 times 9 = 63

Given:

Two sides of a triangle are 9 and 5.

To find:

The range of possible measures for the third side.

Solution:

In a triangle, the sum of smaller sides must be greater than the largest side.

Let x be the measure of third side.

Case 1: When x is the largest side, then

\(9+5>x\)

\(14>x\)            ...(i)

Case 2: When 9 is the largest side, then

\(x+5>9\)

\(x>9-5\)

\(x>4\)            ...(ii)

Using (i) and (ii), we get

\(4<x<14\)

Therefore, the range of possible measures for the third side is \(4<x<14\).

The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

Given data ,

Susan is running a 5k race. The graph of distance vs. time is shown

So , the slope of the first line is m₁

And , the slope of the second line is m₂

where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )

Now , slope of AB is

m₁ = ( 3/10 ) = 0.3

And , m₁ = 0.3 kilometers per minute

And , slope of BC is

m₂ = ( 4 - 3 ) / ( 20 - 10 )

m₂ = 1/10

m₂ = 0.1 kilometers per minute

Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )

Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ1

Answer: 8

Step-by-step explanation:

The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.

Since An element with a mass of 650 grams decays by 13.2% per minute.  and there is 220 grams of the element remaining.

So, the mass decays be

= 650 - 220

= 430

Now the total percentage be like

\(= 430 \div 650\)

= 66.15%

Now the time taken should be

= \(66.15\div 13.2\)

= 5 minutes

The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.

Learn more about time here: https://brainly.com/question/21207761

Answer:

≈3.14

Step-by-step explanation:

The formula for finding the area of a circle is:

π·r²

π=approximately 3.14(pi)

r=radius

If you follow this formula,

you would multiply 3.14 by 2², which is basically 2x2.

2x2=4   3.14x4=12.56

But since pi is an irrational number that goes on forever, you usually round pi to the hundredths place, which would be 3.14. But since you're finding the area of 1/4 circle, you need to divide the answer by 4. 12.56/4=3.14, so the answer is about 3.14.

Given that Jonathan is 8 years old and his mom is 4 times his age, it means that the age of his mom will be

= 4 * 8

= 32 years

Hence the sum of their ages will be

= 8 + 32

= 40 years

Step-by-step explanation:

(x-2)^2 + (y-9)^2   = r^2

this is of the form fora circle with center  h,k and radius r

(x-h)^2 + (y-k)^2 = r^2

for the equation given   center =   2, 9    and radius = r

Answer:

exact form: x=20/9

decimal Form: x=2.222...

Step-by-step explanation:

The value of square root of x + y squared + z squared is 30

x = 2, y = 3 and z = -5

\(( \sqrt{x + y} )^{2} + z ^{2} \)

substitute the value of x, y and z

\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)

simplify the square root and square

\( = (2 + 3) + 25\)

\( = 5 + 25\)

\( = 30\)

Ultimately, x + y squared + z squared is 30

Read more on algebra:

https://brainly.com/question/4344214

#SPJ1

Answer:

Step-by-step explanation:

Well what's your question

The period of the function f(t) = 2.3cos(0.25t) is 8π. Hence, the correct answer is d) period 8π.

To determine the period of the function f(t) = 2.3cos(0.25t), we need to consider the coefficient of t inside the cosine function.

In this case, the coefficient is 0.25, which represents the frequency of the cosine function. The period of a cosine function is given by the formula T = 2π/frequency.

Using this formula, we can calculate the period of the function f(t) as follows

T = 2π / 0.25

T = 8π

Therefore, the period of the function f(t) = 2.3cos(0.25t) is 8π.

Hence, the correct answer is d) period 8π.

The period of a function represents the length of one complete cycle or the distance between two consecutive identical points on the graph of the function. In this case, the function is a cosine function, and the period determines how long it takes for the function to repeat its values

The coefficient 0.25 in the function f(t) = 2.3cos(0.25t) affects the frequency of the cosine function. A smaller coefficient results in a slower oscillation, while a larger coefficient leads to a faster oscillation. In this case, since the coefficient is 0.25, it means that the function completes one full cycle within 8π units of time.

Understanding the period of a function is crucial for analyzing its behavior, identifying the frequency of oscillation, and studying its repetitive patterns.

for more such question on function visit

https://brainly.com/question/11624077

#SPJ8

Answer:

(18,6)

Step-by-step explanation:

add 5 units to X and 2 to Y

Answer:

2 (5c --- 2d) I don't know