Find the area of quadrilateral ABCD. A. 27.28 units² B. 33.08 units² C. 28.53 units² D. 26.47 units²

Find The Area Of Quadrilateral ABCD. A. 27.28 Units B. 33.08 Units C. 28.53 Units D. 26.47 Units

Answers

Answer 1

Answer:

[tex] \boxed{ \boxed{ \bold{ \purple{ \sf{28.53 \: {units}^{2} }}}}}[/tex]

Option C is the correct option.

Step-by-step explanation:

For ABD

[tex] \sf{ = \frac{2.89 + 8.59 + 8.6}{2} }[/tex]

[tex] \sf{ = \frac{20.08}{2} }[/tex]

[tex] \sf{ = 10.04}[/tex]

∆ ABD = [tex] \sf{ = \sqrt{10.04(10.04 - 2.89)(10.04 - 8.59)(10.04 - 8.6)} }[/tex]

[tex] \sf{ = \sqrt{10.04 \times 7.15 \times 1.45 \times 1.44 }}[/tex]

[tex] \sf{ = \sqrt{149.8891} }[/tex]

[tex] \sf{ = 12.2429}[/tex]

For ∆ ACD ,

[tex] \sf{s = \frac{8.6 + 4.3 + 7.58}{2} }[/tex]

[tex] \sf{ = \frac{20.48}{2} }[/tex]

[tex] \sf{ = 10.24}[/tex]

∆ ACD = [tex] \sf{ = \sqrt{10.24(10.24 - 8.6)(10.24 - 4.3)(10.24 - 7.58} }[/tex]

[tex] \sf{ \sqrt{10.24 \times 1.64 \times 5.94 \times 2.66} }[/tex]

[tex] \sf{ = \sqrt{265.3456} }[/tex]

[tex] \sf{ = 16.2894}[/tex]

Area of quadrilateral ABCD = [tex] \sf{12.2429 + 16.2894}[/tex]

[tex] \sf{ = 28.5323}[/tex]

[tex] \sf{ = 28.53}[/tex] units ²

Hope I helped!

Best regards!


Related Questions

The endpoints of segment GH are G(-5,5) and H(8, 19). What is the midpoint of
segment GH?

Answers

Answer:

( 3/2, 12) is the midpoint

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates together and divide by 2

( -5+8)/2 = 3/2

To find the y coordinate of the midpoint, add the y coordinates together and divide by 2

( 5+19)/2 = 24/2 = 12

( 3/2, 12) is the midpoint

Solve for the variable. 3/4x = -24​

Answers

Hello!

Answer:

[tex]\huge\boxed{x = -32}[/tex]

3/4x = -24

To isolate the "x" variable, divide both sides by 3/4 (multiply by its reciprocal, or 4/3)

3/4x · 4/3 = -24 · 4/3

x = (-24 · 4) / 3

x = -32.

Answer:

x = -32

Step-by-step explanation:

To solve an equation with a fraction, we multiply by the denominator on both sides of the equation and then solve like a normal algebraic equation.

3/4x = -24 Multiply by 4 on both sides of the equation.

4(3/4)x = -4(24) Distribute.

3x = -96 Divide by 3 on both sides of the equation.

x = -32

Write an equation for the nth term of the arithmetic sequence. Then find a50.
8, 2, -4, - 10,

Answers

Answer: See below

Explanation:

Write an equation for nth term:

a + d(n - 1)

a = 8 (first term)
d = -6 (common difference)

8 - 6(n - 1)
= 8 - 6n + 6
= -6n + 14

Find a 50:

-6(50) + 14
= -300 + 14
= -286

The equation for the nth term of the arithmetic sequence is  -6n + 14 and the found 50 is -286.

What is an arithmetic sequence?

An arithmetic sequence is a series of numbers that are ordered and share a common difference between each succeeding term. In the arithmetic sequence 3, 9, 15, 21, 27, for example, the common difference is 6.

Arithmetic is the branch of mathematics that studies numbers by performing various operations on them. A sequence is a numerically ordered list. The three dots indicate that the pattern should be continued. The difference is six.

a + d(n - 1)

a = 8 (first term)

d = -6 (common difference)

8 - 6(n - 1)

= 8 - 6n + 6

= -6n + 14

Find a 50:

-6(50) + 14

= -300 + 14

= -286

Therefore, the equation for the nth term of the arithmetic sequence is  -6n + 14.

To learn more about an arithmetic sequence, refer to the link:

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-6(w - 4) + 8W=6(w + 2)​

Answers

Answer:

w = 3

Step-by-step explanation:

-6(w - 4) + 8W=6(w + 2)​

-6w + 24 + 8w = 6w + 12

2w + 24 = 6w + 12

12 = 4w

3 = w

Answer:

w=3

Step-by-step explanation:

-6(w - 4) + 8W=6(w + 2)

-6w + 24 + 8W=6w + 12

24 + 2W=6w + 12

12=4w

3=w

pls send answer ppl​

Answers

Answer:7,560cm

Step-by-step explanation: Area is found by multiplying each side by each other. 7 x 6 x 12 x 15=7560

7 x 6=42

12 x 15=180

180 x 42=7560

Answer:

73.5cm²

Step-by-step explanation:

area of trapezium is SOPS/2 × ph

sops is the sum of 15+6= 21/2×7

147/2 = 73.5cm²

At 5 p.m., Henry and Gordon have made 60 and 20 cranes respectively. Henry can make 30 cranes per
hour while Gordon can make 40 cranes per hour. When will they get the same number of cranes?​

Answers

At 9p.m.(after 4hours)

Step-by-step explanation:

1h. 1h. 1h. 1h

henry:60. 90. 120. 150. 180

gordon:20. 60. 100. 140. 180

you can find it by using this way.i think it will be help for you.

Answer:

9 p.m.

Step-by-step explanation:

Given:

Start time = 5 p.m.Henry made = 60 cranesGordon made = 20 cranesHenry's speed = 30 cranes/hGordon's speed = 40 cranes/h

To find:

The time Henry and Gordon make same number of cranesSolution

Let the required time = x

For Henry:

60 + 30x

For Gordon:

20 + 40x

Since they require the same time and same number, we have:

60 + 30x = 20 + 40x40x - 30x = 60 - 2010x= 40x= 40/10x= 4 hours

The start time was 5 p.m., we need to add 4 hours to this to get 9 p.m.

Answer: At 9 p.m. they will get the same number of cranes

f(x) = (x - 3)(2x - 8)
lesser =
greater x =

Answers

Answer:

lesser x =3

greater x =4

Step-by-step explanation:

f(x) = (x - 3)(2x - 8)

Set the function equal to zero to find the zeros

0  = (x - 3)(2x - 8)

Using the zero product property

0 = (x - 3)   0=2x - 8

Solve each  equation

3 = x          8 =2x

3=x            8/2 =x

                      4=x

lesser x =3

greater x =4

Find two numbers between 3.456 and 3.457

Answers

Answer:

3.4561 and 3.4562

Step-by-step explanation:

there are uncountable infinitely many numbers...

Answer:

Answer is 3.456 , 3.456.

Step-by-step explanation:

3.456=3.4560

3.457=3.4570

then numbers between 3.45610 and 3.4570

is - 3.4561 , 3.4562 , ..........., 3.4570

Please Mark me as Brainliest

orgin lies on which axis

Answers

Origin lies on intersection of both acis x and y

Origin: (0,0)

Answer:

[tex]\Large \boxed{\mathrm{Both}}[/tex]

Step-by-step explanation:

The origin is the intersection of the x-axis and the y-axis.

The origin lies on both x-axis and y-axis.

What is [tex]\frac{t}{8} = 58[/tex] 100 points! Who ever answers it right and EXPLAIN IT GOOD FIRST gets a free brainliest!

Answers

T = 464.

8 times 58 = 464, so we do inverse operations

Answer: Use inverse operations to isolate the t; (multiplication.)

t/8 * 8 = t

58 * 8 = 464

The equation now looks like this:

t = 464

There is nothing left to simplify, so this is your answer.

Hope this helps!

The diameter of the moon is 1/4 of the earth. find the ratio

Answers

Earth is 4:1 and moon is 1:4of earth

earth is 4:1 and the moon is 1:4 of earth.

Train P travels for 330 km at an average speed of x km/h from Kuala Lumpur to Kota Bahru. Train Q travels from Kota Bahru at an average speed of (x-5) km/h and arrives at Kuala Lumpur 30 minutes earlier than train P. Calculate the total time, in hours taken by the 2 trains. ​

Answers

Answer:

Train P : [tex]t_{P} =\frac{330}{55}=6\ \text{hours}[/tex]

Train Q : [tex]t_{Q} =\frac{330}{55}+\frac{1}{2}=6\ \text{hours}\ 30\ \text{minutes}[/tex]

Step-by-step explanation:

The formula to compute the distance traveled by a train is:

[tex]d=s\times t[/tex]

Here,

d = distance traveled

s = speed of the train

t = time taken

From the provided information:

Train P :

d = 330 km

s = x km/h

Then time taken is:

[tex]t=\frac{d}{s}=\frac{330}{x}[/tex]

Train Q :

d = 330 km

s = (x - 5) km/h

[tex]t=\frac{330}{x}+\frac{1}{2}[/tex]

Both the trains traveled the same distance.

[tex]x\times \frac{330}{x}=(x-5)\times [\frac{330}{x}+\frac{1}{2}]\\\\330=\frac{330(x-5)}{x}+\frac{x-5}{2}\\\\330\times 2x=[660(x-5)+x(x-5)]\\\\660x=660x-3300+x^{2}-5x\\\\x^{2}-5x-3300=0\\\\x^{2}+60x-55x-3300=0\\\\x(x+60)-55(x+60)=0\\\\(x-55)(x+60)=0\\\\x=55[/tex]

Compute the time taken by the two trains as follows:

Train P : [tex]t_{P} =\frac{330}{55}=6\ \text{hours}[/tex]

Train Q : [tex]t_{Q} =\frac{330}{55}+\frac{1}{2}=6\ \text{hours}\ 30\ \text{minutes}[/tex]

least to greatest 3.2 3.08 3.18 3 1/8​

Answers


3.08
3.125 (3 1/8)
3.18
3.2

Find the missing vertex (5,3) (-5,3) (-5,-1)

Answers

The missing vertex is (5,-1), which finishes the rectangle


Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names or "y" to describe the unknowns.
six divided by a number

Answers

Answer:

[tex]\frac{6}{y}[/tex]

Answer:

6/y.

Step-by-step explanation:

If the number is y then the expression 6/y.

50,000 in scientific notation would be _____. 5 × 10^5 0.05 × 10^6 5 5 × 10^4 50,000

Answers

Answer:

Just count the number of zeros:

Step-by-step explanation:

There are 4 zeros, so the answer is 5 x 10^4.

Answer:

5 * 10^4

Step-by-step explanation:

In scientific notation, the amount an exponent has indicates how many zeroes are there.

Since we see four zeroes in the number 50,000

The only equation that would fit is of course 5 * 10^4

What is 7,814,000 in scientific notation please tell me step by step

Answers

Answer:

7.814 * 10^6

Step-by-step explanation:

Move the decimal point (which is at the end of the number) six places to the left so that you have one non-zero digit to the left of the decimal point. The number of places it is moved to the left is the exponent. Since it is moved to the left it is a positive exponent.

I NEED HELP PLEASE :(

Answers

Answer:

5th root (27)

Step-by-step explanation:

27 ^ 1/5

=> 5th root of 27^1

=> 5th root (27)

Answer:

5th root (27)

Solve x^2+2x=4 for x by completing the square

Answers

X² + 2x = 4

When completing the square, the goal is to create

a perfect square trinomial on the left side of the equation.

The number used to create one will come from

half the coefficient of the middle term squared.

In this case, that's half of 2 squared or 1 squared, which is 1.

So we add 1 to both sides giving us x² + 2x + 1 = 5.

From here, we set this as a binomial squared.

The first term is an x and the second term will

be half the coefficient of the middle term squared.

So we have (x + 1)² = 5.

Now square root both sides and remember to use plus or minus.

So we have x + 1 = ±√5.

Now subtract 1 form both sides to get x = -1 ± √5.

I'm having a hard time figuring this out I've tries multiple ways but can not get it please help​

Answers

Answer:

9.6

Step-by-step explanation:

Plugging in the info given, we get:

2(4) - (2/5)(-4) = 8 - (-8/5) = 8 + 8/5

From here, you need to make the denominators of both numbers the same in order to combine them further. Currently, as a fraction, it looks like this:

8/1 + 8/5

To make the denominators the same we can just multiply 8/1 by 5/5 (this is the same as multiplying by 1, which essentially allows us to change it's form without changing its value). Doing that gives:

(8/1)(5/5) + 8/5 = (8•5)/5 + 8/5 = 40/5 + 8/5

= (40+8)/5 = 48/5

So 48/5 is the answer. But the website wants you to put it into decimal form. This can be done using a calculator, but let's pretend we don't have one...

Decimals work by using whole numbers divided by multiples of 10 and can be visualized as moving a decimal left (or right) between numbers. For example:

1/10 = 0.1

4/10 = 0.4

23/10 = 2.3

13/100 = 0.13

59/1000 = 0.059 and so on.

So if we can multiply 48/5 by something to make the denominator some multiple of 10, we can simply move the decimal left once and that's our answer. 2/2 should work here:

(48/5)(2/2) = (48•2)/(5•2) = 96/10 or 96.0/10

96.0/10 = 9.6

So your decimal answer is 9.6.

Find the value of x in the triangle shown below.
X =
80°
7
7
29
9

Answers

Identity to remember .

We know that angles of triangle opposite of its equal sides are also equal

Here the information that we know about the given triangle is

One Angle is 80°

Sides are 7 , 7 and 9

So the angles opposite to the equal sides will be equal .

→ So one of those equal angle is x so other will also be x .

Interior angle sum property states that sum of interior angles of triangle will be 180°

→ 80° + x + x = 180°

→ 2x = 180°-80°

→ 2x = 100°

→ x = 100/2

x = 50° .

So the value of x is 50°.

The value of x in the triangle is 50°.

We have,

The given triangle is an isosceles triangle.

This means,

There are two equal sides and the angles opposite to the equal sides are also equal.

Now,

The sum of the three angles in a triangle is 180.

So,

80 + x + x = 180

80 + 2x = 180

2x = 180 - 80

2x = 100

x = 100/2

x = 50°

Now,

We can cross cheked.

80 + 50 + 50

80 + 100

180

True.

Thus,

The value of x in the triangle is 50°.

Learn more about triangles here:

https://brainly.com/question/25950519

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Find the approximate side length of a square game board with an area of 171 in?

Answers

Greetings from Brasil...

According to the statement of the question, we conclude that the area of a square is requested, whose value is 171 in²

The area of a square is given by the expression:

A = S²

where S is the side of the square - just what we want to know

So:

A = S²

171 = S²

√171 = S

S ≈ 13.08in

simply 12(-2x+3)-3x+9(x-9)

Answers

Answer:

- 18x - 45

Step-by-step explanation:

=  12 (-2x + 3) - 3x + 9 (x - 9)

=  -24x + 36 - 3x + 9 (x - 9)

=  -24x + 36 - 3x + 9x - 81

=  -24x + 8x + 36 - 81

=  - 18x - 45

Answer:

Step-by-step explanation:

First, distribute,

12(-2x+3)-3x+9(x-9)

-24x+36-3x+9x-81

Now combine like terms,

Therefore, the answer is -18x-45

A store sells paint sets. Each paint set cost the same amount. During a sale, the store reduces the price of each paint set by $1.35. Yuri spends $6.88 on 2 paints sets at the same price.

Answers

Answer:

4.79

Step-by-step explanation:

4.79 is reasonable for the problem

The price of one paint set before the sale is $4.79

We are expected to determine the price of one paint set before the sale.

From the information given:

Yuri spends $6.88 on = 2 paint set

The amount at which Yuri bought 1 paint set is:

[tex]\mathbf{= \dfrac{\$6.88}{2.0}}[/tex]

= $3.44

Recall that during the sale, the store reduce the price of each paint set by $1.35

Therefore, the price of one paint set before the sale is = $3.44 + $1.35 = $4.79

Learn more about word problems here:

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Bella makes the 2.5m distance to her food bowl in 4.1 seconds. What is her average velocity?

Answers

Answer:

Bella's average velocity is approximately 0.61 m/s.

Step-by-step explanation:

To find velocity, we divide displacement (in this case, the same as the distance Bella traveled) by the time taken to travel this displacement.

Velocity = displacement/time

If we plug in the given values, we get:

Velocity = 2.5m/4.1s

Velocity = 0.6097561 m/s

Therefore, the correct answer is about 0.61 m/s.

Please help fast! My friend thinks it’s 52 but I think it’s 28.

Answers

Answer:

Hey there!

I'm sorry, but your friend is right.

It is the difference between -40 and 12, which is 52.

Let me know if this helps :)

A rectangle's length is 3 more than it width, if the perimeter is 26 inches, what is the width of the
rectangle.

Answers

Answer:

So the width is 3.25

Step-by-step

If the perimeter of a rectangle is 300 and the length is two times the  

width, what are the length and the width?

Call the width of the rectangle x.  Then, if the length is three times  the width, the length must be 3x.  Now, if you have a rectangle whose  width is x and whose length is 3x, the perimeter must be  3x + 3x + x + x = 8x.   You are told that the perimeter is 26, so the equation is 8x = 26.  Dividing both sides by 8, one gets x = 3.25.  So the width is 3.25 and the  length is 6.5.

*Please don't get upset if this is incorrect, I am in 9th grade and I have severe dyslexia and dyscalculia*

:)

!!Please help!! This is algebra and I don't understand

Answers

Answer:

To understand this, bags of gas added make it go up, while bags of sand added make it go down:

1). Add bags of gas | balloon goes UP | 3 bags of gas ( +3 ), 10 bags of sand ( +10 )

2). Add bags of sand | balloon goes DOWN | 3 bags of sand ( -3 ), 10 bags of sand ( -10 )

3). Subtract bags of gas | balloon goes DOWN | subtract 3 bags of gas - ( +3 ), subtract 10 bags of gas - ( +10 )

4). Subtract bags of sand | balloon goes UP | subtract 3 bags of sand - ( -3 ), subtract 10 bags of sand - ( 10 )

HOPE THIS HELPS.

What is the solution of the equation 4[x + 2(3x – 7)] = 22x – 65?

Answers

X = -3/2
I hope my work .... helped you out a little.
4 (X + 2 (3X - 7)) = 22X - 65
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
4 * (X + 2 * (3 * X - 7)) - (22 * X - 65) = 0
Pull out like factors:
7X - 14 = 7 * (X - 2)
28 * (X - 2) - (22X - 65) = 0
Pull out like factors:
6X + 9 = 3 * (2X + 3)
3 * (2X + 3) = 0
3 = 0... (equation never true, has no solution; a a non-zero constant never equals zero)
2X + 3 = 0
Subtract (-3) from both sides of the equation:
2X + 3 (-3) = 0 + (-3)
2X + 3 - 3 = 0 - 3
2X + 0 = -3
2X = -3

Divide both sides of the equation by 2:
2x / 2 = -3 / 2
X = -3 / 2
X = - 1.500

Volleyballs cost $22.00 each. The Athletic Director has $277.00 in her budget to spend on new volleyballs. There is a $13.00 shipping fee per order. How many volleyballs can the Athletic Director order?

Answers

Answer: The Athletic can other 12  volleyballs.

Step-by-step explanation:

If the director has $277 to spend then it means The director can spend at most $277.

Now one volleyball cost $22 and so we could represent the number of volleyballs you can buy by the expression 22x  and including the shipping fee,we will extend the expression to 22x + 13  Now since the Director can spend  up to $277 or less we can write the whole situation in a form of inequality as,

22x + 13 ≤ 277  Now solve for x to determine the number of volleyballs  

          -13   -13

22x  [tex]\leq[/tex] 264

x [tex]\leq[/tex] 12  

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