In the accompanying diagram of rectangle ABCD, diagonal AC is drawn, DE = 8, DE 1 AC, and m2 DAC = 55. Find the area of rectangle ABCD to the nearest integer.​

In The Accompanying Diagram Of Rectangle ABCD, Diagonal AC Is Drawn, DE = 8, DE 1 AC, And M2 DAC = 55.

Answers

Answer 1

Answer:

sin (55)  =  DE / AD

AD  =  DE / sin (55)

AD  =  8 / sin (55)

And  

tan (55) = DC / AD

tan (55)  = DC / [8 / sin (55) ]

DC  =  8 tan (55) / sin (55)    

AD * DC  =

[8 /sin (55) ]  [ 8 tan (55) / sin (55) ]   =    136 units^2  

Step-by-step explanation:

f


Related Questions

Factor completely 2x2 − 2x − 40

Answers

The answer is -2(18+x)

Answer:

2(x-5)(x+4)

Step-by-step explanation:

please help with my geometry

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Answer: 32.036 now round this! Good Luck :)

Step-by-step explanation:

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Answer:

5x + 25 <= 200

Step-by-step explanation:

When it says no more than 200, that means that 200 is the max, so what she spends has to be less than or equal to 200.

how do you find GH? i will give brainielist

Answers

Answer:

16.56

Step-by-step explanation:

Hope this helps

please help_____________​

Answers

the answer is 54 units, sorry if it is incorrect!

What is −4|a - 13| ≤ −56?

Answers

Answer:

a ≤ 27

Step-by-step explanation:

Find x and y with ray theorem

Answers

Answer:

x = 2

y = 5

Step-by-step explanation:

We can say:

7 corresponds to y

(3 + 7.5) corresponds to 7.5

Plus, we can write a ratio

[tex] \frac{7}{y} = \frac{3 + 7.5}{7.5} [/tex]

[tex] \frac{7}{y} = \frac{10.5}{7.5} [/tex]

Cross multiplying, we can solve for "y",

[tex] \frac{7}{y} = \frac{10.5}{7.5} [/tex]

[tex] \frac{7}{y} = 7 \times 7.5[/tex]

y = 5

Again, using similarly, we can say:

(x + 5) corresponds to 5

(3 + 7.5 = 10.5) corresponds to 7.5

We can write a ratio:

[tex] \frac{x + 5}{5} = \frac{10.5}{7.5} [/tex]

Cross multiplying and with the help of a but algebra, we can solve for "x", shown below:

7.5( x + 5) = 5 x 10.5

7.5x + 37.5 = 52.5

7.5x = 15

x = 2

A sheet of origami paper is in the shape of a square with a side length of 7 inches, as shown. What is the area of the sheet of origami paper?


The answer is C!!


I took the unit test, your welcome tehe UwU

Answers

??... what lol good job tho

Answer:

what was c?

Step-by-step explanation:

The slope of the line is 52 and passes through the points A ( 8, -6), what is the equation of this line ?

Answers

Answer:

1.) y = -6

2.) y = 5/3x - 7

3.) y = 5

4.) y = -3x + 1

5.) x = -3

Step-by-step explanation:

4. Find the measure of arc WXY.

Answers

Answer:

200

Step-by-step explanation:this problem is actually very simple. a circle and a max measure of 360 so all you do is subtract 160 from 360 and there you go.     :)

What is an equation of the line that passes through the point ( − 1 , − 3 ) and is perpendicular to the line x − 2 y = 14? pls answer will mark you as brainiest

Answers

Answer:

y = -2x - 5

Step-by-step explanation:

First rewrite the second equation into y = mx + b format:

x - 2y = 14  

2y = x - 14

y = x/2 - 14/2 (Divide both sides by 2)

y = 1/2x - 7

A line perpendicular to another has the negative reciprocal slope

So the slope of our first equation is -2. (Flip 1/2 = 2, then take the opposite)

Plug in the points (-1, -3) for the x and y coordinates.

x (x coordinate) = -1

y (y coordinate) = -3

slope (m) = -2

-3 = -1(-2) + b

-3 = 2 + b

-3 - 2 = b

b = -5

The equation of the line is y = -2x - 5. Hope this helps! :)

Answer:

y = -2x - 5  or 2x + y = -5

Step-by-step explanation:

Let's find the slope of the given line.  

-2y = -x + 14

y = 1/2(x) -7

m = 1/2

The slope of a line perpendicular is the negative reciprocal of 1/2, which is -2

Now use the point-slope form of a line

y + 3 = -2(x + 1)

y + 3 = -2x - 2

y = -2x - 5  or 2x + y = -5

what is 3/4x2/3

a.5/12
b. 6/12
c.5/7
d. 6/7

Answers

Answer:

b is the correct answer

Step-by-step explanation:

hope this helps

40 points! and I will mark you Brainliest !
Find the shaded area. Round to the nearest tenth if necessary.

Answers

Answer:

1.) 49.5 mm ^2

2.) 183 in. ^ 2

Step-by-step explanation:

So for number one, it's a very irregular shape, but luckily, we can split it vertically! Into a triangle & a quadrilateral.

The area of the quadrilateral would be

6*7 = 42

The triangle is more difficult, because its not directly given, BUT, we do know that the height would have to be 6 minus 3, and the base would be 12 minus 7... So the equation is

[tex]A = \frac{1}{2} bh\\A = \frac{1}{2}(5)(3)\\A = 7.5[/tex]

Now, the rectangle and the triangle account for the total area in this case, when you add them, you get 49.5 mm ^2

~~~~~~~~

For the second, we have a trapezoid with a triangular cutout, the area of a trapezoid is defined as:

[tex]A = \frac{1}{2} (B1-B2) h[/tex]

Luckliy, none of the numbers of the bases, or height, are hidden. The height is 18, the larger base is 51, and the smaller is 24.

[tex]A = \frac{1}{2} (51-24)18\\A = 243[/tex]

So, the trapezoid area is 243 in ^2. But we aren't done, we still have the triangle! It will be easy though!

Remember, the formula for a triangle is half the base times the height. These numbers are directly given to us!

[tex]A = \frac{1}{2} (12)(9)\\A = 54[/tex]

Now, since the triangle is NOT SHADED, we subtract it's area from the trapezoid's...

[tex]243 - 54 = 183[/tex]

The area is 183 in. ^ 2

#SpreadTheLove

Answer:

1)49.5mm ^2.

2)183 in ^2.

Step-by-step explanation:

So for number one it's a very iregular shape,but luckily ,we can slip it vertycally.

6×7=42.

The triangle is more difficult because it's not directly given.

The questions is:

A=1 on 2 bh.

A= 1 on 2 (5 and 3)

Help please.don’t understand!

Answers

Answer:

132 green marbles

Step-by-step explanation:

green : purple

11 : 8

? : 96

first divide 96 by 8:

96 ÷ 8 = 12

this allows us to know how much it went up by

next, take 11 and multiply it by 12:

11 x 12 = 132

there are 132 green marbles

The total cost for a month at a fitness club is made up of a fixed fee and a cost per visit. Information about the total cost, C, in dollars, for n visits is shown below Determine a possible fixed fee, cost per visit and equation for the new total cost.

Answers

Answer:

C = n + 25

Step-by-step explanation:

The total amount of money is C, so the equation has to equal C. n is the cost per visit and then you add the fixed fee in which I chose 25

Help plsss
Calculate the area

Answers

Answer:

140 feet squared

Step-by-step explanation:

Let's do this step by step. First, let's find the area of the rectangle, which is 8 times 10. It equals 80. Next, do the trangle. 6 times 10 is 60. So, 60 plus 80 equals 140.

Answer:

area of rectangle =L*B

8*10=80ft^2

area of triangle=1/2b*h

h is 8 ft

1/2*6*8

3*8

24ft^2

total area is 80+24

104ft^2

nearest tenth = 100 ft^2

David uses 1/4 bag of potting soil to plant 6 tomato plants. If he uses the same amount of potting soil for each plant, what fraction of the bag of potting soil will each plant get?
1/24
24
2/3
1 1/2

Answers

Answer:

Step-by-step explanation:

A

Find the area of a circle with a radius of 16 cm. Please help!!

Answers

Answer:

area is 804.2477193

6/7x21 please help i need this to finish early

Answers

Answer:

6/7 x 21 = 18

Answer:

the answer is 18 hope this helped :)))

Explain (in words) what you would do to find the missing value in the equation. You do not find the missing number! Equation: ? + 59 5/8= 82 2/3 I will give Brainly whoever has the correct answer.

Answers

Answer:

The missing value = [tex]23\frac{1}{24}[/tex]

Step-by-step explanation:

Given - Equation: ? + 59 5/8= 82 2/3

To find - Explain (in words) what you would do to find the missing value in

              the equation. You do not find the missing number.

Proof -

Let the missing number = x

So, the equation becomes x + [tex]59\frac{5}{8}[/tex] = [tex]82\frac{2}{3}[/tex]

⇒x = [tex]82\frac{2}{3}[/tex] - [tex]59\frac{5}{8}[/tex]

     = [tex]\frac{248}{3} - \frac{477}{8}[/tex]

     = [tex]\frac{1984 - 1431}{24}[/tex]

     = [tex]\frac{553}{24}[/tex]

     = [tex]23\frac{1}{24}[/tex]

⇒x = [tex]23\frac{1}{24}[/tex]

∴ we get

The missing value = [tex]23\frac{1}{24}[/tex]

Explanation -

Here we have given the ? with addition of number that is equation to some number.

We just have to subtract the two numbers to find the missing value , as we do above.

At practice, Diego does twice as many push-ups as Noah, and also 40 jumping
jacks. He does
62 exercises in total. The equation 2x + 40 =62 describes this situation. What does
the
variable represent?

Answers

Answer:

1980

Step-by-step explanation:

5x4*x9=1980

Hope this helps :)

Brainliest?

。◕‿‿◕。 ITS PICKACHU  DAY

"the difference of p and 4."

Answers

Answer:

p - 4 = ?

Step-by-step explanation:

Difference also mean subtraction, so that means you are required to subtract the variable p and 4.

Can anyone help me with this problem?

Answers

The answer is: Y = 1/6 x -3

The graph of h is the graph of f(x) = x2 translated 2 units left and 5 units up. What is the vertex form of this function?
A. h(x) = (x + 2)2 + 5
B. h(x) = (x - 2)2 + 5
C. h(x) = (x + 5)2 + 2
D. h(x) = (x + 5)2 - 2

Answers

Answer:

A. [tex]h(x) = (x+2)^{2}+5[/tex]

Step-by-step explanation:

First, we need to defined the two transformations required to derive [tex]h(x)[/tex].

Vertical translation

[tex]n(x) = m(x) +k[/tex], [tex]k \in \mathbb{R}[/tex] (1)

Where:

[tex]k > 0[/tex], upwards.

[tex]k < 0[/tex], downwards.

Horizontal translation

[tex]n(x) = g(x+k)[/tex], [tex]k\in \mathbb{R}[/tex] (2)

Where:

[tex]k > 0[/tex], leftwards.

[tex]k < 0[/tex], rightwards.

Let [tex]f(x) = x^{2}[/tex], if [tex]h(x)[/tex] is translated 2 units left and 5 units up, then we have the resulting expression:

[tex]h(x) = (x+2)^{2}+5[/tex] (3)

Hence, correct answer is A.


find the value of x?

Answers

Answer:

135

Step-by-step explanation:

Hello There!

Remember the exterior angle of a triangle rule:

An exterior angle of a triangle is equal to the sum of its opposite interior angles

so x = the sum of its opposite interior angles (58 and 77)

58 + 77=135

so x = 135

Answer: x=135°

Step-by-step explanation:

Angles in a triangle always add up to 180° so to find the corner of the missing side next to x you need to do 58+77=135 then do 180-135=45°

So then, now we have the angle inside the triangle, we can now work out what x is.

Angles on a straight line always add up to 180° so you do 180-45=135° so x=135°.

Hope this helps :)

Write the equation of a line in slope-intercept form with a slope of 2 and
passes through the point (-3,1)

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

Hope this helps!

10% of what = 70,000​

Answers

Answer: 7000.

Step-by-step explanation:

Answer:

700,000

Step-by-step explanation:

70000 ÷ 10% = 700000

3. A pair of tennis shoes cost $48.60 including sales tax. If the sales tax rate is 8%, what is the cost of the tennis
shoes before the tax is added?

Answers

Answer:

The answer for it is 44.71

WILL GIVE BRAINLIEST AND 5 STAR PLS HELP

Answers

Answer:

The Anser Is C

Step-by-step explanation:

Question Do you play R~o~b~l~o~x Adopt ME im New And Started Yestarday

Friend ME At archerpro46

here is another one .

Answers

Answer:

18

Step-by-step explanation:

18/45 is equal to 40/100

I just divided 100 by 45 to find how much they multiplied the original fraction by to get 40/100

then I divided 40 by the number I got from the last equation and got 18

hope this helps chu <3

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