Calculate the perimeter of ABCD.
B
+
6 cm
950
8 cm
5 cm
C

Calculate The Perimeter Of ABCD.B+6 Cm9508 Cm5 CmC

Answers

Answer 1

Answer:

The perimeter is 28.13 cm

Step-by-step explanation:

We connect a line from A to C

we can use the cosine rule to find the length AC

let us call it x

AC^2 = AB^2 + BC^2 - 2(AB)(BC) cos B

we have this as;

x^2 = 6^2 + 8^2 - 2(6)(8) cos 95

x^2 = 36 + 64 + 8.37

x^2 = 108.37

x = √108.37

x = 10.4 cm

AC = 10.4 cm

now, let us look at triangle ADC Where we have AC as the hypotenuse as it is the side facing the right angle

We can use Pythagoras’ theorem to get the value of CD

We have it that the square of the hypotenuse AC is the sum of the squares of the two other sides

let DC be y

10.4^2 = 5^2 + y^2

y^2 = 108.37 - 25

y^2 = 83.37

y = √83.37

y = 9.13 cm

The perimeter of the shape is the sum of all its sides

so we have;

AB + BC + CD + AD

= 6 + 8 + 9.13 + 5

= 28.13 cm


Related Questions

5x + 2 – 2(x - 1) = 3x + 4
PLS HELP !

Answers

Answer:

5x + 2 - 2(x - 1) = 3x + 4

⇔ 5x + 2 - 2x + 2 = 3x + 4

⇔ 3x + 4 = 3x + 4

⇔ 4 = 4

⇒ infinite solutions

Step-by-step explanation:

Question 4 (1 point)
If 2x + 8 = 16, what is the value of x+42
Answer:
Blank 1:
Review Answers
Need help plz

Answers

Answer:

its 43

Step-by-step explanation:

as x was 1 in the first problem

you add X (1) by 42 and get

43..

sorry if thats wrong.

Answer:

46

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 8 from both sides of the equation:

2x + 8 (-8) = 16 (-8)

2x = 16 - 8

2x = 8

Next, divide 2 from both sides of the equation:

(2x)/2 = (8)/2

x = 8/2 = 4

Next, plug in 4 for x in the given expression:

x + 42

(4) + 42 = 46

46 is your answer.

~

I get a 15% discount at Ann Taylor Loft. If I find a shirt I like for $20, how much will I have to pay for it?

Answers

The answer will be 17 dollar

CAN SOMEONE HELP ME PLZZ

Answers

Answer:

C

Step-by-step explanation:

Answer:

divide by 12

Step-by-step explanation:

12 +12=24

rotate the triangle through 180 degrees about the origin?

Answers

Answer:

Step-by-step explanation:

Uh can you give us a more clear question?

A construction company can remove 25,200 pounds of dirt from a construction site in 8 hours.

Answers

Answer:

yes they can how efficient

Step-by-step explanation:

What are the answers to these questions

Answers

F(-1)=2
F(2)=-1
F(3)=-3



The f(x) part is the input and the stuff after is the output

does anyone know how to do this percentage I need help I don't understand how to

Answers

Answer: 21

Step-by-step explanation:

Answer:

21$

Step-by-step explanation:

30 divided by 10 = 3 (10%)

3 x 3 = 9 (30%)

URGENT!

need help


...

Answers

Answer:

92°

Step-by-step explanation:

If ΔABC ≈ ΔPQR then ∡A = ∡P

∡P is 92° so ∡A is 92°

Answer:

92 degrees

Step-by-step explanation:

A group of friends wants to go to the amusement park. They have $60 to spend on parking and admission. Parking is $18, and tickets cost $10.50 per person, including tax. How many people can go to the amusement park?

Answers

Answer:

4 people

Step-by-step explanation:

plug 18+10.5x into your calculator, or just make a table labelling x and y.

note that x must not exceed $60 but can be equal to or less than $60. x=4 gives you the exact number of people, which is 4.

Can Somebody Please Help Me With This!!

Answers

Answer:

I think A

Step-by-step explanation:

sorry if it is not correct hope it helps

Answer:

I cant see the numbers clearly but I think its 24

what is the multiplicative rat of change of the function?
2/3
3/4
4/3
3/2

Answers

Answer:

3/4

Step-by-step explanation:

The "multiplicative rate of change" refers to the rate at which the function increases. The rate of exchange below is [tex]\frac{3}{4}[/tex] because if you multiply this to every value of y, the product is the next value of y.

[tex]\frac{3}{2}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{9}{8}[/tex] [tex]\frac{9}{8}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{27}{32}[/tex][tex]\frac{27}{32}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{81}{128}[/tex]

If the function continues, the next value would be: [tex]\frac{243}{512}[/tex]

Such constant rate causes an "exponential growth."

Which equation represents the slope-intercept form of the line below?
y-intercept = (0,3)
slope = 4
O A. y = 3x + 4
O B. y = 3x - 4
O C. y = 4x-3
D. y = 4x + 3
help asap

Answers

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 and c = 3, then

y = 4x + 3 → D

Answer:

b

Step-by-step explanation:

i really need help please!!!

Answers

Answer:

5x-4y=0

Step-by-step explanation:

[tex]\frac{5-0}{4-0} =\frac{y-0}{x-0} \\ 5x-4y=0[/tex]

Martin purchased a book. The receipt says that the total cost of the book is $11.65, including a 6% sales tax. What was the original price of the book without the tax?

Answers

Answer:

11.65$ : 100% = x : 94

94 because 100 - 6

Step-by-step explanation:

Do this:

11.65 x 94 = ?

divide the answer by 100

and that is your answer

Find the measure of each angle

Answers

Answer: x=36°

Step-by-step explanation:

The four interior angles of a quadrilateral always equal 360°, so:

(x+16)+(4x-8)+(4x-8)+x=360

Combine like terms:

360=10x+0

360=10x

36=x

Answer:

In image below

Step-by-step explanation:

What is the solution of each equation?

2(h - 8) - h = h - 16

a

no solution

b

infinitely many solutions

c

8

d

-8

Answers

The correct answer is b

How do you graph g(x)=f(x)+5

Answers

Make a positive line going through (0, 5)

A 24-foot ladder is placed 7ft from the wall, (as shown)
if the top of the ladder slips down 4 ft, how many feet will the bottom slide out?
a. 4 feet
b. 8 feet
c. 15 feet
d. 20 feet

anyone who answers this (first) will get 15 points!

Answers

I’m pretty sure it’s c.15 feet it’s the best answer
I would say d or c hope it helps

100 POINTS! I WILL MARK BRAINLIEST. ONLY ANSWER IF YOU KNOW HOW TO DO IT. RANDOM ANSWERS WILL BE REPORTED! :)

Answers

Answer:

the cords are 4 -2

Step-by-step explanation:

Answer:

First pic (4, -2) second pic (-3, 2)

Which expression is equivalent to 3k + 5l + 6l + 2k?

A) 8k + 8l

B) 5k + 11l

C) 5k

D) 16

Answers

Answer:

B)5k + 11l

Step-by-step explanation:

3k + 5l + 6l + 2k collect like terms

3k + 2k + 5l + 6l

5k + 11l

hope it's helpful ❤❤❤❤

THANK YOU.

The expression is equivalent to the given expression is 5k+11l. Therefore, option B is the correct answer.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is 3k+5l+6l+2k.

Group like terms and simplify, we get

(3k+2k)+(5l+6l)

= 5k+11l

The expression is equivalent to the given expression is 5k+11l. Therefore, option B is the correct answer.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ5

Amy sells tote bags at a craft fair for a day. She pays $50 to rent a booth. The materials and labor cost on each tote bag is $3.50. Her expenses for the day depend on how many tote bags she sells. Write a linear function rule and identify the initial value and rate of change.​

Answers

Answer:

Let x= number of totebags sold

Cost=C(x)=50+3.5x

Sarah and Eva took a road trip. Sarah drove two-fifths of the miles. If she drove 128 miles , how many total miles did they drive?


I need the answer without x being the equal. thanks!

Answers

Answer: 320 miles

Step-by-step explanation:

Let the miles that they drove be represented by x.

Since Sarah drove two-fifths of the miles which is 128 miles, then the total miles would be:

= 2/5 × x = 128

0.4 × x = 128

0.4x = 128

x = 128/0.4

x = 320

The total miles is 320 miles.

Find the slope of the line y = 5/8x - 1/2

Answers

Answer:

slope = [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Slope-intercept form is the way in which an equation is written to easily identify the line's slope and y-intercept. It is represented by the equation y = mx + b, in which m represents the slope.

By looking at the equation, we can see that it takes the y = mx + b format - y is isolated - therefore it is in slope-intercept form. Remember that the number in place of the m would represent the slope - and in this case, that number is [tex]\frac{5}{8}[/tex].

Final Answer:

[tex]\sf{Slope = \dfrac{5}{8}}\\\sf{Y-intercept: -\dfrac{1}{2}}[/tex]

In-depth explanation:

The question is asking us to find the slope of the line, whose equation is;

[tex]\leadsto\quad\bf{y=\dfrac{5}{8}x-\dfrac{1}{2}}[/tex]

The format of this equation is: [tex]\boldsymbol{\sf{y=mx+b}}[/tex]. This is known as slope-intercept; it's the most common way of writing the equation of a line.

In y = mx + b, the variable "m" denotes the slope, or the rate of change, of a line; b denotes the y-intercept, or the point where the line intercepts the y-axis.

Also, the slope is the number before x, while b is the constant term.

Similarly, the slope is 5/8 and the y-intercept is -1/2.

[tex]\rule{350}{2}[/tex]

Please help

Leila will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $40 and costs an additional $0.13 per mile driven. The second plan has an initial fee of $53 and costs an additional $0.08 per mile driven

Answers

9514 1404 393

Answer:

260 miles$73.80

Step-by-step explanation:

The cost of each plan (y) is the sum of the initial fee and the product of the mileage charge and the number of miles (x).

First Plan: y = 40 +0.13x

Second Plan: y = 53 +0.08x

__

We can find when the costs are the same by solving this system of equations. A way to do that is to subtract the second equation from the first:

  (y) -(y) = (40 +0.13x) -(53 +0.08x)

  0 = -13 +0.05x

Multiplying by 20 gives ...

  0 = -260 +x

Adding 260, we have ...

  x = 260

The plans cost the same for 260 miles of driving.

__

The cost of the plans for that distance is ...

  y = 40 +0.13x = 40 +0.13(260) = 40 +33.80

  y = 73.80

The cost when the two plans cost the same is $73.80.

8m + 34 = 10 - 16m
How do I do?

Answers

Answer:

m=-1

Step-by-step explanation:

8m + 34 = 10 - 16m

fist add 16m to each side

8m+16m+34=10

then subtract 34 from each side

8m+16m=10-34

add like terms

24m=-24

divide both sides by 24

m=-1

8m + 34 = 10 - 16m
34= 10-8m
24= -8m
3= m

What is it called when you must give something up in order to get something else?

Answers

Answer:

NEVER GONNA GIVE U UP

Step-by-step explanation:

NEVER GONNA LET U DOWN

Hiiii Can someone please help me please
A, B, C, or D
F, G, H, or J
Ill give lots of points because there's two Please help me thank you BRAINLIEST ANSWER btw ❤️

Answers

Answer:

B, H

Step-by-step explanation:

The electrician charges 45 dollars per hour and 30 at the beginning. We are multiplying the hours, h, by 45 to get 45h. We add 30 to get C=45h+30

Jerome will always earn 75 dollars, but he also gets 10 percent commission, which is 0.10.

Answer:

B and H are the correct answers

Match the vocabulary terms to the correct definitions.

1. the set of second coordinates in a relation, all possible y values in a function
linear function
2. a function which has one or two variables with no powers, this functions’ graph will always be a straight line
domain
3. the set of first coordinates in a relation, all possible x values in a function
range
4. a function which contains an expression within absolute value symbols
absolute value function

Answers

Answer:

Linear Function - A function that has one or two variables with no powers, this graph will always be a straight line.  Domain - the set of second coordinates in a relation, all possible y values in a function .                           Range -    the set of first coordinates in a relation, all possible x values in a function . Absolute Value function - A function which contains an expression within absolute value symbols .                                                                                                                   Step-by-step explanation: To be honest i guessed so if theses are wrong i am sorry . I really just wanted to help .  

Linear Function - A function that has one or two variables with no powers, this graph will always be a straight line.  

Domain - the set of second coordinates in a relation, all possible y values in a function .                          

Range -    the set of first coordinates in a relation, all possible x values in a function . Absolute Value function -

A function which contains an expression within absolute value symbols .                                                                                                                  

Step-by-step explanation: To be honest i guessed so if theses are wrong i am sorry . I really just wanted to help .  

6z + 9 - 7 = 4z + 12

Answers

Answer:

z=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

6z-4z=10

z=5

PlZ Make me brainliest

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