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:

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Related Questions

Lily has $18. Matt has twice as much of a third of the amount that Lily has, and
Carolyn has $23 more than Matt has. How much money does Carolyn have?
$

Answers

Answer:

$35

Step-by-step explanation:

Answer:

he has $35 left

Step-by-step explanation:

In the parallelogram below, AC = 18, BD = 30, and BC = 15. What is the length of EC?

Answers

Answer:

30

Step-by-step explanation:

what is the distance between (-6-4) and (-5,-4)​

Answers

Step-by-step explanation:

take as if this points are on a line segment AB

Dab = square root of ( xa - xb) ^2 + ( y a- yb) ^2

= square root of [ (-6) - (-5) ]^2 + [ (-4) - (-4) ]^2

= square root of (-1)^2 + (0)^2

= square root of 1 + 0

= square root of 1

= 1 units

The distance from AB is 1 unit

what does the variable x represent?

Answers

the x variable represents answer choice b

The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?

Answers

Answer:

x = -3

Step-by-step explanation:

using the slope formula y2 - y1/x2 - x1 = 1 so

-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7

Rewrite as a product of two factors: 3 + 18d + 21y​

Answers

Answer:

[tex] \huge { \red{\boxed{ \boxed{ \tt \: 3(1 + 6d + 7y)}}}}[/tex]

Step-by-step explanation:

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

in the following expression

everytime 3 is common

(3×1)+(3×6d)+(3×7d)

therefore if you take 3 from every expression we get

3(1+6d+7y)

which is a product of two factors

WILL GIVE BRAINLY IF CORRECT

A circle has its center at the point (1, -3) and goes through the point (-3, 0). Using this information, write the equation for the circle.

Answers

Answer:

(-3-1)^2+(0+3)^2=r^2

radius is 5 units

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2

We know values of all variables except r at the moment.

h is the x-coordinate of the center of the circle, and k is the y-coordinate.

x and y are coordinates of a point the circumference touches.

From there, just plug in the numbers and solve!

PLZZ HELP find area of square KLMN?

Answers

Hello! The area of square KLMN is 25 cm²

Make sure to read an explanation for better understanding to the problem.

Any questions about my answer and explanation can be asked through comments.

Step-by-step explanation:

Since the square has same length for both sides. We can proceed side × side formula. Our side is 5 because if we count these small squares or grids, we'd get 5 for both sides.

Therefore 5 × 5 = 5² = 25 cm².

We can also use Calculus to solve the problem by using Integration.

Because both lines are horizontal, they are constant function. That means they are in the form of y = b where b is a constant.

A line that passes through (a,4) where a is all real numbers. The equation is y = 4

A line that passes through (c,-1) where c is all real numbers. The equation is y = -1

Therefore,

[tex] \large{ \int^{b}_a f(x) dx+ \int^{b}_a g(x)dx} \\ \large{ \int^{2}_{ - 3} (4)dx+ \int^{2}_{ - 3} ( - 1)dx}[/tex]

Because y = -1 is below x-axis. Therefore,

[tex] \large{ \int^{2}_{ - 3} 4 dx+ \int^{2}_{ - 3} 1dx} \\ \large{ (4x)^{2}_{ - 3} + (x)^{2}_{ - 3} } \\ \large{8 - ( - 12) + 2 - ( - 3)} \\ \large{8 + 12 + 2 + 3 = 25}[/tex]

A math class has 24 scholars. Each scholar earns 2 HERO points for coming to class and turning in homework on time. The function H(s) = 2s describes the total number of HERO points awarded where s represents the number of scholars. Michael says 31 is a possible output for this scenario. Do you agree or disagree? EXPLAIN for full points.

Answers

H=2s

31=2s

S=31/2=15.5 scholars

Answer:no

Step-by-step explanation:

If an object is projected upward with an initial velocity of 64ft per second from ground level, then its height in feet t seconds after it is projected is a function defined by: h(t)= -16t^2 + 64t. how long after it is projected will it be 48 feet above the ground?

Answers

Answer:

not sure

Step-by-step explanation:

Ben has a piece of plywood that measures 1 yard on each side.He cuts the wood into 6 equal pieces.Each piece is 1/3 yard wide and 1/2 yard long.What is the area of each piece that Ben cuts?

Answers

Answer:

The area is "[tex]\bold{\frac{1}{6}}[/tex]".

Step-by-step explanation:

In this question, to understand the problem we use the model, that  Begins with drawing squares from each side which is 1 yard, and divides these as defined throughout the problem. To fix the issue, using the given model, please find the attached file.

Calculating the area of the one-piece:

[tex]=\frac{1}{2} \times \frac{1}{3}\\\\=\frac{1}{2\times 3}\\\\=\frac{1}{6}\\\\[/tex]

A new laptop costs $1100 and has a new book value of $375 after 2 years. Find the linear model V(t)=Mx+b

Answers

Answer:

- 362.5t + 1100

Step-by-step explanation:

Given :

Value, = v ; time, = t

t1, v1 = (0, 1100)

t2, v2 = (2, 375)

Slope, m = v2 - v1 / t2 - t1

m = (375 - 1100) / (2 - 0)

m = - 725 / 2

m = - 362.5

v - v1 = m(t - t1)

v - 1100 = - 362.5(t - 0)

v - 1100 = - 362.5t

v = - 362.5t + 1100

In ΔUVW, the measure of ∠W=90°, UV = 6.2 feet, and WU = 1.2 feet. Find the measure of ∠V to the nearest tenth of a degree

Answers

Answer:

11.2

Step-by-step explanation:

The answer is 11.2 degree

50 points. Can someone draw me the diagram.
If someone can draw it for me I'll be able to finish the rest myself. I'm just confused about what it is I'm supposed to draw. The directions are in the picture.

Answers

Answer:

*screenshot

Step-by-step explanation:

I tried my best drawing digitally

Need help please! I added a picture for the question need help ASAP!

Answers

Answer:

36%

Step-by-step explanation:

Tried it with 100 as a base and got to 36. Should be right :)

Answer:

He had not sold 90%

Step-by-step explanation:

make everything a percent. 20%+20%+25%+25%. Then subtract the total by 100% and get 90%

Ms. Sung budgets a maximum of $320 per month for groceries. She grocery shops 4 times a month. Which inequality can be used to find the possible values of x, the amount she can spend at the grocery store during each shopping trip

A. 4+x<320

B.4x < 320 (btw they have like a dark line under the < yk)

C.4x > 320 (they have a dark line in the bottom of >)

D. 4+ x > 320

Answers

A. Maybe or D. I think one of this but I’m not sure hope you get the answers soon

PLEASE HELP ASAP

Two lines intersect in the figure.
What is the value of x?

Answers

Answer:

x=17°

Step-by-step explanation:

5x+6=91 (vertically opposite ∠'s equal)

5x= 91-6

5x= 85

x= 85/5

x= 17°

Which countries are
in north America

Answers

Answer:

Canada, Mexico, America

Step-by-step explanation:

Canada is one and Mexico

What is the value of x in the matrix equation below?

Answers

Answer:

The value of X is 2

Step-by-step explanation:

hope it helps you...

have a great day

Answer:

C. 2

Step-by-step explanation:

on edge

Find the coordinates of the center of this circle: (x - 9) ^ 2 + (y + 4) ^ 2 = 16

Answers

Answer: center is (9, -4)

Step-by-step explanation:

There are 14 penguins on the rocks. Half as many are swimming. How many are in the water? How many in all?

Answers

Answer:

7 penguins are in the water.

21 penguins in all.

Step-by-step explanation:

14 penguins on the rocks.

Half of them equals 7 are in the water swimming.

7 + 14 = 21

7 penguins are in the water.

21 penguins in all.

The number of penguins in water = 7 penguins

The total number of penguins  = 21 penguins


What are word problems?

Word problems in mathematics involve a crucial understanding of solving real-life cases with the use of arithmetic operations.

From the information given:

There are 14 penguins on the rock.Half as many are swimming implies that: 7 of them are swimming

Thus, the number of penguins in water = 7 penguins

The total number of penguins overall = penguins in water + penguins on the rock

The total number of penguins overall = 7 + 14

The total number of penguins overall = 21 penguins

Learn more about word problems here:

https://brainly.com/question/25693822

An eagle eats about 1 bound of food in 1 day. A crow eats about 3 pounds of food in 2 days which bird eats more more food per day.

Answers

Answer:

The crow eats more food per day.

Step-by-step explanation:

eagle eats 1 pound per day.

crow eats 3 pounds/2 days -> 1.5 pounds per day

1.5 > 1

The crow eats more because the eats 3/2 food per day and the eagle eats 1 pound per day. And 3/2= 1 1/2

The expression (7-4i)-(3-12i) simplified is

Answers

Answer:

8i + 4

Step-by-step explanation:

Add/subtract like terms:

7 - 3

= 4

-4i - (-12i)

-4i + 12i

= 8i

Add these together:

8i + 4

So, the simplified expression is 8i + 4

Five times a number is 28 greater than the product of the number and -2. Find the number

Answers

Answer:

4

Step-by-step explanation:

Let the unknown number be x

Five times the number is expressed as 5x  

28 greater than the product of the number and -2 is expressed as;

28 + (-2x)

Equating both expressions

5x = 28 + (-2x)

5x = 28 - 2x

5x+2x = 28

7x = 28

x = 28/7

x = 4

Hence the number is 4

PLEASE HELP ME IN THIS I NEED HELP SO BAD!! IF YOU DINT KNOW THE ANSWER DONT TELL ME- PLEASE HURRY HELP ME (*꒦ິ⌓꒦ີ)

Answers

Answer:

18

Step-by-step explanation:

Take the 54. The cake reduces her size by 1/3 so you multiply 54*1/3 to get 18 inches or 1.5 feet tall. :)

What is the value of the expression shown?



24 minus 5 squared

Answers

Answer:

24-5^2

Step-by-step explanation:

hope this helps

please help me solve this. ill award brainliest! please just explain how to solve and what it should be. ​

Answers

Answer:

3 - that is if all of those say 7 because some have a line through and some dont.  

Step-by-step explanation:

Download photomath. You take a photo of the math problem and it gives the answer plus steps to solve.

the product of two and a number, divided by five

Answers

Answer:

10

Step-by-step explanation:

2×5=10.

10÷2=5

That should be the answer.

Which linear equation contains the points
shown in the table?
A y= 5x + 4
B. y= 4x+5
c y= 5x-4
D. y= 4x-5
Table
x y
1 -1
2 3
3 7

Answers

The answer is D



Because I worked it out

a=4

3 + a + 7 - 5 + 10 + a -a=

Answers

3 + 4 + 7 - 5 + 10 + 4 - 4 = 21

Answer:

3+4+7-5+10+4-4=19

Step-by-step explanation:

3+a=3+4+7-5+10+a=10+4-a=10+4-4=19

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