A.10
B.70
C.110
D.170

Help pls asap

Answers

Answer 1

Vertical angles are congruent
2x+50=7x
50=5x
x=10

2(10)+50
20+50
Angle AEB = 70

Related Questions

Which of the following is not true about two integers p and q, where p is even and g is odd? A p+q is odd. B. pq is even C q +1 even. D. q + 5 is odd.

Answers

Answer:

The statement "q + 5 is odd" is FALSE.

Step-by-step explanation:

Let p = 2 and q = 3.

A. p + q is odd ... 2 + 3 = 5 TRUE

B. pq is even ... 2*3 = 6 TRUE

C. q + 1 is even ... 3 + 1 = 4 TRUE

D. q + 5 is odd ... 3 + 5 = 8 FALSE

can someone provide me with step by step solution of this question

Answers

Answer:

the answer is 100,008.

Step-by-step explanation:

To convert temperatures in degrees Fahrenheit to Celsius, subtract 32 and multiply by 5556

Answer: 50° F = 10° C

Step-by-step explanation:

Given information

Convert 50° Fahrenheit to Celcius

Given formula

[tex]C~=~\frac{5}{9}~ (F-32)[/tex]

Substitute values into the formula

[tex]C~=~\frac{5}{9}~ (F-32)[/tex]

[tex]C~=~\frac{5}{9}~ ((50)-32)[/tex]

Simplify values in the parenthesis

[tex]C~=~\frac{5}{9}~ (18)[/tex]

Simplify the multiplication

[tex]\Large\boxed{C=10^\circ C}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

A home gardener estimates that 18 apple trees will produce an average yield of 80 apples per tree. But because of the size of the garden, for each additional tree planted, the yield will decrease by four apples per tree. How many trees should be planted to maximize the total

Answers

19 trees should be planted to maximize the total

How many trees should be planted to maximize the total

From the question, we have the following parameters:

Number of apples, x = 18

Yield, f(x) = 80 per tree

When the number of apple trees is increased (say by x).

We have:

Trees = 18 + x

The yield decreases by four apples per tree.

So, we have

Yield = 80 - 4x

So, the profit function is

P(x) = Apples * Yield

This gives

P(x) = (18 + x) *(80 - 4x)

Expand the bracket

P(x) = 1440 - 72x + 80x - 4x^2

Differentiate the function

P'(x) = 0 - 72 + 80 - 8x

Evaluate the like terms

P'(x) = 8 - 8x

Set P'(x) to 0

8 - 8x = 0

Divide through by 8

1 - x = 0

Solve for x

x = 1

Recall that:

Trees = 18 + x

So, we have

Trees = 18 + 1

Evaluate

Trees = 19

Hence, 19 trees should be planted to maximize the total

Read more about quadratic functions at:

https://brainly.com/question/12120831

#SPJ1

Which of the following number 1001,1002,1004 will be the sum of 994 and a 2 digit number

Answers

The number that will be the sum of 994 and a 2 digit number is 1004 (option 3). Details about digits of numbers can be found below.

What is a 2-digit number?

A digit is the whole numbers from 0 to 9 and the arabic numerals representing them, which are combined to represent base-ten numbers.

A 2-digit number is any number between 10 and 99.

According to this question, 994 is said to be added to a 2 digit number to result into either 1001, 1002 or 1004.

1001 - 994 = 7 (1 digit)1002 - 994 = 8 (1 digit)1004 - 994 = 10 (2 digit)

Therefore, the number that will be the sum of 994 and a 2 digit number is 1004.

Learn more about number at: https://brainly.com/question/17429689

#SPJ1

Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 20 more adult tickets han student tickets to the fall play. to If the
class collected $880 from ticket sales, how many adult tickets were sold?
The drama class sold
adult tickets.
The solution

Answers

Answer:

Step-by-step explanation:

Let the number of adult tickets sold be a and the number of student tickets sold be s.

"The drama class sold 20 more adult tickets han student tickets to the fall play." means that a-20=s."the class collected $880 from ticket sales" means that 8a+4s=880, which is the same as 2a+s=220.

Substituting the first equation into the second,

[tex]2a+a-20=220 \\ \\ 3a-20=220 \\ \\ 3a=240 \\ \\ a=80[/tex]

A triangle with a base of 16 cm and a height of 9 cm.

Answers

Answer: 288

Step-by-step explanation:

(16x9)x2

find the zeros x^4-2x^3-44x^2-88x-32

Answers

The zeros which are the roots of the polynomial expressions are:

x = -4; x = - 2; x = 4 - 2√5; x = 2(2 + √5)

What are the zeros of a polynomial expression?

The zeros of a polynomial f(x) are really the values of x that answer the equation f(x) = 0. Thus, f(x) is a function of x, and the polynomial zeros refer to the values of x, which makes the f(x) value equal to zero. The digit of zeros in a polynomial is decided by the degree of equation f(x) = 0.

For a polynomial, there may be specific values of the variable for which the polynomial is zero. These are known as polynomial zeros. They are also known as polynomial roots. In essence, we look for the zeros of quadratic equations to discover the solutions to the given equation.

From the given equation, the zeros of x^4-2x^3-44x^2-88x-32 can be computed as follows:

Using the rational root theorem:

[tex]\mathbf{= (x+2)\dfrac{x^4-2x^3-44x^2-88x-32}{x+2} }[/tex]

[tex]\mathbf{=(x+2) (x^3-4x^2-36x-32) }[/tex]

By factorization, we have:

= (x + 2) (x + 4) (x² - 8x - 4)

The zeros which are the roots of the polynomial expressions are:

x = -4; x = - 2; x = 4 - 2√5; x = 2(2 + √5)

Learn more about zeros of polynomial here:

https://brainly.com/question/2833285

#SPJ1

A survey was conducted among the students at Elmwood High School. What are the individuals in this study?

the types of sports
the music groups
the clubs
the students

Answers

Based on the information provided, the individuals in this study are: D. the students.

What is a study?

A study can be defined as a strategic process or technique through which a scientist (researcher) observes and measures the effect of a risk factors, diagnostic test, or treatments on a particular population of interest.

What is a variable?

In Mathematics, a variable can be defined as the measurable conditions, events, characteristics, individuals, or behaviors that a scientist (researcher) can control or observe when performing a study.

Based on the information provided, the individuals in this study are the students and these include the following subclasses:

FreshmenSophomoresJuniorsSeniors

Read more on variables here: https://brainly.com/question/523303

#SPJ1

The students are the individuals in this study and is therefore denoted as option D.

What is a Sample?

This refers to a group of people which are chosen or taken from a large population for measurement or surveys.

In this scenario, the study was conducted in a school with different types of students according to their grades such as freshman, sophomore etc. This therefore makes the individuals in the study to be students and is the most appropriate choice.

Read more about Sample study here https://brainly.com/question/20064039

#SPJ1

Can someone explain the steps I’m confused

Answers

Answer:

x = 8 ± [tex]\sqrt{10}[/tex]

Step-by-step explanation:

x² - 16x + 54 = 0 ( subtract 54 from both sides )

x² - 16x = - 54

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 8)x + 64 = - 54 + 64

(x - 8)² = 10 ( take the square root of both sides )

x - 8 = ± [tex]\sqrt{10}[/tex] ( add 8 to both sides )

x = 8 ± [tex]\sqrt{10}[/tex]

then

x = 8 - [tex]\sqrt{10}[/tex] , x = 8 + [tex]\sqrt{10}[/tex]

you are considering an investment into Company XYZ and need to determine the company's value and the appropriate investment amount. You have been provided with historical financial statements for the past three years in order to build a forecast model. Key assumptions to use include:

Future sales revenue is assumed to increase at 2.5% annually.
Gross margin for 2021E is assumed to be equal to the average gross margin % for 2019 and 2020, but will decrease by 2.5% (i.e. 250 bps) each year thereafter
SG&A expense is assumed to be a percentage of revenue for the forecast period. That percentage is equal to the 2018-2020 average
Depreciation expense is assumed to be a percentage of revenue for the forecast period. That percentage is equal to the 2018-2020 average
The tax rate for the forecast period is assumed to be equal to the effective tax rate for 2018
Capital expenditures for any given year in the forecast period is assumed to be 3x the prior year's depreciation expense. For example, 2021 capital expenditures is equal to 3x 2020 depreciation expense.
No new debt or equity is assumed to be issued
Download CFI_-_FMVA_Practice_Exam_Case_Study_A.xlsx and answer the following 12 questions.
1
What is Gross Profit in 2028E using the assumptions listed above and on the Control Panel?

$17,545
$30,704
$27,780
$40,938

Answers

Option A is correct. The gross profit that has been calculated for this year is given as 17545

How to solve for the gross profit

22050 × 97.5%(100-2.5%) = 21498.75

= 21498.75 × 0.975 = 20961.28

= 20961.28 x 0.975 = 20437.24

= 20437.24 x 0.975 = 19926.31

= 19926.31 × 0.975 = 19428.15

= 19428.15 x 0.975 = 18942.45

= 18942.45 x 0.975 = 18468.80

= 18468.89 × 0.975 = 18017

= 18007 × 0.975 = $17545

Hence we can see at the end of the solution that the value of the gross profit in 2028 = $17545

Answers

The solution or the value of x = 14 (Option C). See the explanation below.

Where x (bar) is the mean.

What is the calculation for the above?

x = (12 + 13 + 14 + 15 + 16)/5

= 14

Hence option C is correct.

Learn more about mean at;
https://brainly.com/question/1136789
#SPJ1

Pls help w this question

Answers

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

According to given figure,

Angle 11, Angle 20 and Angle 16 forms angles of a triangle,

so, by angle sum property of a triangle :

[tex]\qquad❖ \: \sf \: \angle11 + \angle20 + \angle16 = 180 \degree[/tex]

[tex]\qquad❖ \: \sf \: \angle11 +66 + 43 = 180 \degree[/tex]

[tex]\qquad❖ \: \sf \: \angle11 +109 = 180 \degree[/tex]

[tex]\qquad❖ \: \sf \: \angle11 = 180 \degree - 109[/tex]

[tex]\qquad❖ \: \sf \: \angle11 =71 \degree [/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

Option B is correct

what is the length of the hypotenuse of a right triangle whose legs have lengths 12 cm and 16 cm?

Answers

Hello there! The length of the hypotenuse of a right triangle whose legs have lengths 12 cm and 16 cm is 20 cm, or the square root of 400 cm.

In Pythagorean Theorem, the hypotenuse of a right triangle is always the longest side and is representative of a variable we know as c^2, or c squared. Since we know that the right triangle in this problem has lengths 12 cm and 16 cm, we know that a^2 equals 12 squared and b^2 equals 16 squared. Because the formula for Pythagorean Theorem is a^2 + b^2 = c^2, we can write our problem out:

12^2 + 16^2 = c^2

12^2 (or 12 squared) equals 144 since 12 x 12 = 144

16^2 (or 16 squared) equals 256 since 16 x 16 = 256

Since we know what a squared and b squared equal, we can add them to find what our hypotenuse squared is.

144 + 256 = 400

We now know that our hypotenuse squared equals 400. To find c, we can simply find the square root of 400. You can keep this question in mind when doing it: “What number can be multiplied by itself to get 400?”

When calculating, we will find that the square root of 400 is 20. To verify, we can multiply 20 by itself to see what we get.

20 x 20 = 400

Our equation is true! Therefore, here is your final equation:

12^2 + 16^2 = 20^2

The length of the hypotenuse is 20 cm. If you need any extra help, let me know and I will gladly assist you.

y = x^3 - 52x^2 + 15x^4 + 16 + 20x

Answers

The factors of the equation of power 4, [tex]y=x^{3}-52x^{2} +15x^{4} +16+20x[/tex] are x=1, -2, 4/3, -2/5.

Given equation is [tex]y=x^{3}-52x^{2} +15x^{4} +16+20x[/tex],

By performing L-division method, we get

[tex]y = (x-1)(15x^{3} +16x^{2} -36x-16)[/tex]

Then again doing the same L-division method to the cubic equation [tex]15x^{3} +16x^{2} -36x-16[/tex], we get

[tex]15x^{3} +16x^{2} -36x-16 = (x+2)(15x^{2} -14x-8)[/tex]

Therefore, [tex]y = (x-1)(x+2)(15x^{2}-14x-8)[/tex]

Then finally the roots of the quadratic equation [tex]15x^{2}-14x-8[/tex] are (x-(4/3)) and (x+(2/5))

Hence, [tex]y=x^{3}-52x^{2} +15x^{4} +16+20x = (x-1)(x+2)(x-\frac{4}{3} )(x+\frac{2}{5} )[/tex]

Therefore, the roots of the equation of power 4, [tex]y=x^{3}-52x^{2} +15x^{4} +16+20x[/tex] are x=1, -2, 4/3, -2/5.

Learn more about factors of equation on

https://brainly.com/question/19814847

#SPJ1

Fatima purchased a new mattress when it was on sale. The sale price was 20% less than the regular price. If the sale price was $358, what was the original price? (Round your answer to the nearest dollar).

Answers

well, the regular price is really "x", which oddly enough is 100%, but we also know that $358 is really the discounted price by 20%, namely 100% - 20% = 80%, so we know that 358 is really just 80% of "x", so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 358& 80 \end{array} \implies \cfrac{x}{358}~~=~~\cfrac{100}{80} \\\\\\ \cfrac{x}{358}=\cfrac{5}{4}\implies 4x=1790\implies x=\cfrac{1790}{4}\implies x\approx 448[/tex]

20% equals 0.2
100% - 20% = 80% or 0.08

358 / 0.8 = $447.50

Check
447.50 * 0.8 = 358

1. In a class of 60 students, a survey was conducted, 30 students had applied for Addis Ababa University, 25 students applied for Bahir Dar University and 24 students applied for Wachemo University. 11 students applied for both Addis Ababa and Bahir Dar Universities, 6 applied for both Addis Ababa and Wachemo Universities, 9 applied for both Wachemo and Bahir Dar Universities while 4 applied neither of the aforementioned universities. Find number of students that applied at most two universities.

Answers

The number of students who applied at most two universities is 26 students.

How is the calculation for the number done?

The population of students in a class = 60 students

Number of students who applied for Addis Ababa University = 30 students

Number of students who applied for Bahir Dar University = 25 students

Number of students who applied for Wachemo University = 24 students

Number of students who applied for Addis and Bahir = 11 students

Number of students who applied for Addis and Wachemo = 6 students

Number of students who applied for Wachemo and Bahir = 9 students

The number of students who applied at most two universities is 26 (11+ 6 + 9).

Thus, the number of students who applied at most two universities is 26.

Learn more about number calculations at https://brainly.com/question/16292072

#SPJ1

A large bakery buys flour in 20-pound bags. The bakery uses an average of 1050 bags a year. Preparing an order and receiving a shipment of flour involves a cost of $15 per order. Annual Carrying costs are $ 55 per bag. a) Determine the economic order quantity? b) What is the average number of bags on-hand? c) How many orders per year will there be? d) Compute the total cost of ordering and carrying flour? e) If holding costs were to increase by $5 per year, how much would the minimum total annual cost?

Answers

Given the following:

Demand = 1050Ordering cost = 15Holding cost = 55

The economic order quantity is 24.

What is the economic order Quantity?

Eoq = √2 * demand * ordering cost / holding cost)

= √(2 * 1050 * 15 / 55)

EOQ = 24

What is the average number of bags on-hand?

The Average inventory = EOQ / 2

= 24 / 2

= 12

How many orders per year will there be?

Expected number of orders = demand / EOQ

= 1050 / 24

= 44

What is the total cost of ordering and carrying flour?

Annual holding cost (AHC) = (EOQ / 2) * Holding cost

= (24 / 2) * 55

= 660

Annual ordering cost (AOC) = (demand / EOQ) * ordering cost

= (1050 / 24) * 15

= 656

Thus,

Total cost of managing = AHC + AOC

= 660 + 656

TCM = 1,316

If holding costs were to increase by $5 per year, how much would the minimum total annual cost?

5. For holding cost of 60

EOQ= √(2 * demand * ordering cost / holding cost)

= √(2 * 1050 * 15 / 60)

= 23

Annual holding cost = (EOQ / 2) * holding cost

this gives us

= (23 / 2) * 60

= 690

Annual ordering cost = (demand / EOQ) * ordering cost

= (1050 / 23) * 15

= 685

Total cost of managing = AHC+ AOC

= 690 + 685

= 1375

Change in total annual cost = new - old

= 1375 - 1316

= 59

Learn more about Economic order quantity:
https://brainly.com/question/26814787
#SPJ1

3(q+ 4/3 )=2 solve for Q

Answers

Answer: q = -2/3

Step-by-step explanation:

First, we need to apply the Distributive Law in order to proceed with the problem.

3(q + 4/3) = 2

3q + 3(4/3) = 2

We already know that 3(4/3) = 4, since the 3's cancel out. Or, 3(4/3) = 12/3 = 4.

Our new equation is,

3q + 4 = 2

Through transposition and isolation of variables, we get,

3q = -2

Dividing by 3 on both sides...

q = -2/3

The Mogul Runners ski club planned a trip to Park City. Of the total number of club members, 11 signed up to go. If this is 25% of the club, how many members does the ski club have?

Answers

The ski club has 44 members in all

What is population?

Population refers to the total number of items or individuals that form a group.

In this case, the population means the total number of all members in the Mogul Runners ski club.

What is sample?

Sample means a fraction of the total population, in other words, the 25% of the members, whose number is 11, that signed up to go for the planned trip.

We can convert 25% to 100% by equation 25% to 11 members that signed up to go for the planned trip.

25% of club members=11 members

divide both sides by 25%

25%/25% of club members=11/25% members

club members=44 members

The ski club has 44 members altogether as computed above.

Find out more about population and sample on:https://brainly.com/question/27936223.

#SPJ1

Find the value of b.

Answers

Step-by-step explanation:

The value of b will be 43° as it is vertically opposite angle.. !!

Vertically opposite angles are equal
The value of b is 43° since it is vertically opposite

Solve this system. Write your answer as an ordered pair.

-5x + y = -3

3x - 8y = 24

Answers

[tex]\begin{cases} -5x+y=-3\\ 3x-8y=24 \end{cases} \\\\\\ \stackrel{\textit{using the 1st equation}}{-5x+y=-3}\implies \underline{y=-3+5x} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{3x-8(\underset{y}{-3+5x})=24}\implies 3x+24-40x=24\implies 3x-40x=0 \\\\\\ -37x=0\implies \boxed{x=0}~\hfill \underline{y=-3+5(\stackrel{x}{0})}\implies \boxed{y=-3} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (0~~,~~-3)~\hfill[/tex]

Answer:

( 0, -3 )

Step-by-step explanation:

-5x + y = -3 ⇒ ( 1 )

3x - 8y = 24 ⇒ ( 2 )

We can make y the subject of equation 1.

y = 5x - 3 ⇒ ( 3 )

Now let us take equation 2.

Here we can replace y with ( 5x - 3 ) to find the value of x.

Value of x.

3x - 8y = 24

3x - 8 (5x - 3) = 24

3x - 40x + 24 = 24

-37x = 0

x = 0

Now let us take equation 3 to find the value of y.

Here we can replace x with 0.

Let us find it now.

y = 5x - 3

y = 5 × 0 - 3

y = 0 - 3

y = -3

Now, let us write the answer as an ordered pair.

( x, y )

( 0, -3 )

The large rectangle was reduced to create the small rectangle.

A large rectangle has a length of 18 inches and width of 12 inches. A smaller rectangle has a length of 6 inches and width of x inches.
Not drawn to scale

What is the missing measure on the small rectangle?
2 inches
3 inches
4 inches
5 inches

Answers

Answer:

4 inches

Step-by-step explanation:

large rectangle - 18:12 ratio = 3:2

small rectangle - 6:4 = 3:2

Option 3 (C) would be correct

Find the critical value. Assume that the test is two -tailed and that n denotes the number of pairs of data. n =
20, α = 0.01
A) -0.570
B) 0.570
C) +0.447
D) +0.570

Answers

Using a calculator, the critical value for the t-distribution, with a confidence level of 99%, a sample size n = 20 and a two-tailed test is of Tc = 2.8609.

How to find the critical value of the t-distribution?

It is found using a calculator, with three inputs, which are given by:

The confidence level.The number of degrees of freedom, which is one less than the sample size.The tail.

In this problem, the inputs are given as follows:

Confidence level of 99%, as 1 - 0.01 = 0.99 = 99%.19 df, as 20 - 1 = 19.Two-tailed test, as stated in this problem.

Hence, using a calculator, the critical value is of is of Tc = 2.8609.

More can be learned about the t-distribution at brainly.com/question/27125917

#SPJ1

A hotel builds an isosceles trapezoidal pool for children. It orders a tarp to cover the pool when not in use. What is the area of the tarp?

Trapezoid ABCD with base side AD labeled 15 feet, top side BC labeled 10 feet, and right side CD labeled 5 feet. Angle C measures 120 degrees.
To find the height, first find that is
. This means the height of the trapezoid is approximately
feet. So, the area of the tarp is approximately
square feet.

Answers

The area of the tarp is 54.125 square feet

How to determine the measure of D?

From the figure in the question, we have the following angle measure:

DCE= 120

This means that:

<C = DCE - 90

Substitute the known values in the above equation

<C = 120 - 90

Evaluate the difference

<C = 30

The measure of D is then calculated as

<D = 90 - <C

This gives

<C = 90 - 30

Evaluate the difference

<C = 60

How to determine the height of the trapezoid?

Represent the height with h.

This is then calculated as:

sin(D) = h/5

This gives

sin(60) = h/5

Multiply both sides by h

h = 5 * sin(60)

Evaluate

h = 4.33

How to determine the area of the tarp?

This is calculated as:

A = 0.5 * (10 + 15) * 4.33

Evaluate

A = 54.125

Hence, the area of the tarp is 54.125 square feet

Answers

Answer:

$270

Step-by-step explanation:

Find her gross income....then subtract taxes:

30 hr/week * $10/hr - $ 30 = $270

A certain brand of coffee comes in two sizes. A 12.3-ounce package costs $2.99 . A 33.9-ounce package costs $8.74 . Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer:

[tex]12.3 - 33.9 = 21.6 \div 10 = 2.16[/tex]

Answer is as follows, using A and B for the two package sizes

A) 12.3-ounce package costs $2.99 .
B) 33.9-ounce package costs $8.74 .

Find the unit price for each size.
A) 2.99 / 12.3 = .34 per ounce
B) 8.74 / 33.9 = .26 per ounce

The 33.9 ounce size is the better buy based on the unit price of .26 per ounce

a swimming pool charges £3.60 for entry. you can save 1/3 of entry fee with a membership card. on his first visit, ken spends £5 on a membership card plus the reduced entry fee. how many times does ken visit before he gets back his £5

Answers

The number of times Ken visits, given the £3.6 pool charge, and 1/3 savings per visit is 5 times.

Which method can be used to find the number of times Ken visits the pool to get back his £5?

The entry fee = £3.60

Amount saved on entry fee by having a membership card = 1/3 of the entry fee

Amount Ken spends on the membership card and the reduced entry fee = £5

Therefore;

Reduced entry fee = £3.60×(1 - 1/3) = £2.4

Amount saved per visit = £3.6 - £2.4 = £1.2

The number of visits, n, before he gets back his £5 is therefore;

n = £5/(£1.2/visit) ≈ 4.17 visits

Ken has to visit the swimming pool more than 4 times to get his £5 back.

Rounding to the next larger whole, therefore;

The number of visits, n, before he gets back his £5 is 5 visits

Learn more about fractions here:

https://brainly.com/question/15451726

#SPJ1

Mike drove 40 miles from his home to his office, and he then drove back home using the same route. The average speed on his return trip was 10 miles/hour more than the average speed on his trip to the office. The total time for the trip is represented by this expression, where x is the average speed on the trip from his home to his office.

The average speed on Mike’s drive home is represented by
x + 10
.

When Mike drives at an average speed of 55 mile/hour on his way home, it takes him approximately
1.6 hours
to drive to work and back.

Answers

Mike's speed driving to his office is 45 miles/hour, which is 10 miles less than his average speed driving back.

How is speed calculated?

Speed is an average value of a scalar measurement of the distance covered over the time taken.

Speed is the equation, r = d/Δt, where r = speed or rate, d = distance, and Δt is the change in time.

Thus, when the distance covered by a traveler is divided by the time consumed, one can determine the average speed for the travel.

Data and Calculations:

Distance from Mike's home to his office = 40 miles

Distance to and from = 80 miles (40 miles x 2)

Hours covered from office = 1.6 hours

Average speed for the trip = 50 miles/hour (80/1.6)

Average speed to return home = 55 miles/hour

Average speed to office = 45 miles/hour (55 - 10)

Thus, Mike's speed of driving to his office is 45 miles/hour.

Learn more about calculating speed, distance, and time at https://brainly.com/question/26046491

#SPJ1

Question Completion:

What is Mike's speed driving to his office?

A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 64°. How high does the ladder reach on the building?

Answers

The height of the ladder on the building is 19.77 feet

How high does the ladder reach on the building?

Represent the height of the ladder on the building with h

So, the given parameters are:

Angle, x = 64 degrees

Length of ladder, l = 22 feet

The height of the ladder on the building is calculated using

sin(x) = h/l

Substitute the known values in the above equation

sin(64) = h/22

Multiply both sides by 22

h = 22 * sin(64)

Evaluate the product

h = 19.77

Hence, the height of the ladder on the building is 19.77 feet

Answers

The area of this regular polygon is 46.8 square units

How to determine the area of this regular polygon?

The given parameters are:

Perimeter, p = 54 m

Apothem, a = √3

The area of this regular polygon is then calculated as:

Area = 0.5 * Apothem * Perimeter

Substitute the known values in the above equation

Area = 0.5 * √3 * 54

Evaluate the product

Area = 46.8

Hence, the area of this regular polygon is 46.8 square units

A.10 B.70 C.110 D.170 Help pls asap

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

A.10
B.70
C.110
D.170

Help pls asap