Find the area and perimeter of fig ABCD where B=90 and angle DAC=90 degrees. AB=6cm and BC=8cm and DA=24cm

Answers

Answer 1

Answer:

[tex]96\ \text{cm}^2[/tex]

[tex]17.1\ \text{cm}[/tex]

Step-by-step explanation:

[tex]DC[/tex] is the length of the hypotenuse of the triangle [tex]CED[/tex].

So

[tex]DC=\sqrt{ED^2+EC^2}\\\Rightarrow DC=\sqrt{16^2+6^2}\\\Rightarrow DC=17.1\ \text{cm}[/tex]

The perimeter of the [tex]ABCD[/tex] is [tex]17.1\ \text{cm}[/tex]

[tex]AB+AD+DC+CB=6+24+17.1+8=55.1\ \text{cm}[/tex]

The Area of [tex]ABCD[/tex] would be

Area of rectangle ABEC+Area of triangle CED

[tex]8\times 6+\dfrac{1}{2}\times 16\times 6=96\ \text{cm}^2[/tex]

The area of the figure [tex]ABCD[/tex] is [tex]96\ \text{cm}^2[/tex].

Find The Area And Perimeter Of Fig ABCD Where B=90 And Angle DAC=90 Degrees. AB=6cm And BC=8cm And DA=24cm

Related Questions

What is the density of an object that has a mass of 11 g and volume of 5.5
mL?

Answers

You answer should be 2. Do the Mass and volume. Equation which is Volume divide by mass equals 2 hope this help

I really need help!

Mr Garcia has 15 boys and 10 girls in his math class. He selects two students at random to demonstrate how they solved the day’s challenge assignment. What is the probability that both students are girls? (Leave the answer in simplified fraction form.)

Answers

Answer:

3/20

Step-by-step explanation:

Total number of students = 15 + 10 = 25

Number of girls = 10

Number of ways to select 2 students =

Number of ways to select 2 girls =

Compute the probability of selecting two girls as follows:

Thus, the probability that both students are girls is 0.15.

0.15 simplified in fraction from: 3/20

How many 1/5 servings are in 25 cups of ice cream.

Answers

Answer:

1

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

How many solutions does the equation 2(x+1) = 2x+1 have?

Answers

Answer:

No Solutions

Explanation:

2(x + 1) = 2x + 1

Simplify both sides of the equation

2(x + 1) = 2x + 1

(2)(x) + (2)(1) = 2x + 1 [Distribute]

2x + 2 = 2x + 1Subtract 2x from both sides

2x + 2 − 2x = 2x + 1 − 2x

2 = 1

Subtract 2 from both sides

2 − 2 = 1 − 2

0 = −1

This Is False, Therefore There Are No Solutions

- PNW

The ratio of exterior angle and interior angle of a regular polygon is 12:6. The name of the regular polygon is

Answers

Answer:

Equilateral triangle

Step-by-step explanation:

sum the parts of the ratio, 12 + 6 = 18 parts

exterior angle + interior angle = 180°

180° ÷ 18 = 10° ← value of 1 part of the ratio , then

6 parts = 6 × 10° = 60° ← interior angle

12 parts = 12 × 10° = 120° ← exterior angle

The sum of the exterior angles of a polygon = 360°

Divide 360° by 120° to find number of sides

360° ÷ 120° = 3

and since the interior angles are 60° , then

polygon is an equilateral triangle

In the graph y = the square root of x
When x = 2

y =
(Round to the thousandths place [3 decimal places])
PLEASE DONT JUST TAKE MY POINTS, ASAP I AM WILLING 13 POINTS

Answers

The correct answer is 1.414 or 1

write the ratio 54 inches to 7 feet as a fraction in the simplest form​

Answers

Answer:

54/7 since it cannot get simplified.

Step-by-step explanation:

Help this is due in 30 mins
The graph shows the amount of money you and your brother are saving for a trip to a water park.
Your brother saves $----- less than you each week.

Answers

Answer:

you save $90 each week your brother save $71 each week.

so your answer would be your brother saves $19 less than you each week

There are 96 blue paperclips in a bag. The number of blue paperclips is 4 times the number of yellow paperclips that are in the bag. Write a multiplication equation that can be used to find △, the number of yellow paperclips in the bag. Show how to solve the equation and include the answer

Answers

Answer:

△ is 24. I found this out by dividing 96 by 4, since the number of blue paperclips is 4 times the amount of yellow paperclips. A multiplication equation that can be used is 4x=96. X is the number of yellow paperclips. Hope this helped!

Step-by-step explanation:

Find the area of the figure

Answers

Answer:

90 cm2

Step-by-step explanation:

The figure consists of an inner rectangle with dimensions 8 by 10 and a right triangle on the bottom right with dimensions

base = 12 - 8 = 4 cm and height = 10 - 5 = 5 cm

Total area (A) is equal to the sum of the area of the rectangle and the right triangle, that is

area of rectangle = 10 × 8 = 80 cm²

area of triangle = 0.5 × 4 × 5 = 10 cm²

Hence

A = 80 cm² + 10 cm² = 90 cm² → B

What is the solution to the system of equations y = -1/2 x + 1 and y = 2x + 6?

Answers

Answer:

Since by the 2nd equation, we know that y is the same as 6-x, we can substitute that for y in the first equation:

y = 2x + 3 -> 6 - x = 2x + 3 -> 6 = 3x + 3 -> 3 = 3x -< x = 1 and by either of the two equations, that derives y = 5

Step-by-step explanation:

Answer:

ok you can use subsitution for this one

since y=2x+6

subsitute 2x+6 for y

3x-(2x+6)=6

3x-2x-6=6

add like terms

x-6=6

add 6 to both sides

x=12

subsitute

y=2x+6

y=2(12)+6

y=24+6

y=30

x=12

y=30

(x,y)

(12,30)

Step-by-step explanation:

how many ounces are in 6 1/4 pounds(show your work)

Answers

Answer:

100 oz

Step-by-step explanation:

to find out how many ounces in a quarter pound, multiply 16 by ... 1/8 lb = 2 oz; 1/4 lb = 4 oz; 1/3 lb = 5.33 oz; 1/2 lb = 8 oz; 1 lb = 16 oz; 1.5 lb

Answer:

100 ounces

Step-by-step explanation:

there are 16 oz in a pound, so, 6 x 16 = 96 oz. And in 1/4 lbs there are 4 oz, so, when you add that to 96, it equals 100 oz.

^^ this up here ok ok ok ok ok

Answers

Answer:

E is the correct answer

Step-by-step explanation:

Answer:

e!

Step-by-step explanation:

hope it helps :]

Could I uh get some help this is two days overdue and I uh didnt notice until now so... ;-;"​

Answers

Answer:

4

Step-by-step explanation:

to understand thisyou need to know about:meanPEMDASlet's solve:

according to the question

[tex] = \sf\frac{2 + 2 + 2 + 3 + 3 + 4 +5 + 7 + 8}{9} [/tex]

[tex]\sf = \frac{36}{9}[/tex]

[tex]\sf = 4 [/tex]

therefore

our balance point is 4

The balance point is 4

Find the area of the figure.​

Answers

Step-by-step explanation:

Area of this figure = 14×11+5×2+11×2

=154+10+22

186m²

Answer:

164 sq. m.

Step-by-step explanation:

Cut the figure into 2 seperate shapes to find the area of them separately. (I cut it so that I had a 5*2 figure and a 14*11 figure)

14*11 because 16-5=11

14*11=154

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7,12,13,14,15,14,19,14,13,10,11,7,18,20,14,16,14,18,13

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Answers

Answer:

14

Step-by-step explanation:

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the empty set
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all real numbers
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Answers

Answer:

All real numbers.

Step-by-step explanation:

The set includes 2 AND all numbers less than 2 AND all numbers greater than 2.

Answer:

All real numbers.

Step-by-step explanation:

(-9) / *fill the blank* = 5

Answers

Answer:-1.8

Step-by-step explanation:

I need the points bro


The diagram shows a square ABCD.
D
N
bu
A
M
I
Mis the midpoint of AB.
Nis the midpoint of AD.
The area of the shaded triangle AMN is 18 cm
Work out the area of triangle MCN.

Answers

Answer:The diagram shows a square ABCD.

D

N

bu

A

M

I

Mis the midpoint of AB.

Nis the midpoint of AD.

The area of the shaded triangle AMN is 18 cm

Work out the area of triangle MCN.

5b is the area of MCN

Step-by-step explanation:

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Answers

The 2 unshown angles in the pentagon adds up to 180 degrees because consecutive interior angles theorem for parallel lines.

Interior angle sum of pentagon is 540 degrees.

So

2y+3y+135+180=540

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Answers

Answer:

62.7

Step-by-step explanation:

Answer:

62.7%

Step-by-step explanation:

Which net represents this triangular prism?​

Answers

Answer:

The top right one.

Hope this helps :)

Help please What is the simplified answer to
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Answers

Answer:

[tex]x>29[/tex]

Step-by-step explanation:

[tex]-x<-29[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1} <\frac{-29}{-1} \\x>29[/tex]

x > 21 is your answer.

The ages, in years, of Sharice’s family members are shown. What is the mean absolute deviation of the data set?
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Answers

Answer:Statistics Calculator: Mean Absolute Deviation (MAD). Use this calculator to compute the mean absolute deviation from a data set. Data is from: ... Values must be numeric and may be separated by commas, spaces or new-line. Press the ..

Step-by-step explanation:

Answer:

the answer is 14

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Decrease £6,000 by 4% and then by 5%.

Answers

The answer is exactly £5,472

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Answer:

Step-by-step explanation:

the 3rd one

I am pretty sure is the third one

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Answers

Answer:

Im sorry what is the question? I cant see the image clearly.

Step-by-step explanation:

Answer:

repost theres no question

What is the distance between 0 and 4 on the number line? ? units -5 -4 -3 -2 -1 0 2 3 4 5​

Answers

Answer:

4 - 0 = 4

Step-by-step explanation:

The distance is 4 units from 0 to 4

84 is 99 fewer than a number c

Answers

Answer: c=99+84

Step-by-step explanation:

Just do it

The expression representing the statement given is c-99 = 84

What is expression?

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given that, 84 is 99 fewer than a number c

The mathematical expression for the given statement will be,

c-99 = 84

Now, solving for c,

c-99 = 84

c = 84+99

c = 183

This shows, 84 is 99 less than 183

Hence, the expression representing the statement given is c-99 = 84

For more references on expressions, click;

https://brainly.com/question/14083225

#SPJ2

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