What is the area of ACDE to the nearest whole number? 10 cm 20 cm 21 cm А A 87 cm B. 105 cm C. 123 cm D 210 cm

What Is The Area Of ACDE To The Nearest Whole Number? 10 Cm 20 Cm 21 Cm A 87 Cm B. 105 Cm C. 123 Cm D

Answers

Answer 1
Final answer:

The area of ACDE is 205 cm^2.

Explanation:

The area of ACDE can be determined by finding the area of triangle ACD and triangle ADE and then summing their areas.

To find the area of triangle ACD, we can use the formula Area = 1/2 * base * height. In this case, the base is AD which is 21 cm and the height is 10 cm. Substituting these values into the formula, we get Area_ACD = 1/2 * 21 cm * 10 cm = 105 cm2.

Next, to find the area of triangle ADE, we can use the same formula. The base is DE which is 10 cm and the height is AC which is 20 cm. Substituting the values, we get Area_ADE = 1/2 * 10 cm * 20 cm = 100 cm2.

Finally, we add the areas of ACD and ADE to get the total area of ACDE: Area_ACDE = Area_ACD + Area_ADE = 105 cm2 + 100 cm2 = 205 cm2.

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Answer 2

The calculated area of the trapezoid ACDE  is 123 square cm

How to determine the area of ACDE

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

BE² = 20² - 10²

This gives

BE² = 300

So, we have

BE = 17.3

This means that

CD = 21 - 17.3

CD = 3.7

The area of ACDE  is calculated as

Area = 1/2 * (AE + CD) * AB

This gives

Area = 1/2 * (21 + 3..7) * 10

Evaluate

Area = 123

Hence, the area of ACDE  is 123 square cm

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Related Questions

Ashley picked up 15 rocks. 3 igneous, 3 metamorphic, and 9 sedimentary. What is the ratio of sedimentary rocks to the total number of rocks?

Answers

Answer:

9:6 or 3:2

Step-by-step explanation:

Answer:

9:15 or 3:5

Step-by-step explanation:

There are 9 sedimentary rocks, and there are 15 total rocks. So the ratio would be 9:15 OR you could say 3:5 in simplest form.

Hope this helped! :)

The graph shows a linear relationship between the
height and years of a plant's growth. Find the rate of
change. Select all that apply.
The rate of change of a linear function is always the
same.
Height (in)
The rate of change of a linear function increases as
the input increases.
The rate of change from 2 years to 4 years on the
graph is 1.5 inches per year.
L! The rate of change from 0 years to 6 years on the
graph is 1.5 inches per year.
8
Time (yrs)

Answers

Answer:

 a, c, d

Step-by-step explanation:

Answer:

The rate of change from 2 years to 4 years on the graph is 1.5 inches per year & The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

Step-by-step explanation:

Find the Surface area AND Volume of the figure. Round to the nearest hundredths.

Answers

Answer:

SA= 902.88 yd²

V = 1386.24 yd³

Step-by-step explanation:

Surface area

Since the bases are right triangles, you need to find the base of the triangle. Use Pythagorean theorem as you are given the hypotenuse and one leg.

19² = 15.2² + b²

361 = 231.04 + b²

Subtract 231.04 from both sides

b² = 129.96

Root that

b = 11.4

Now that you have the base, find the areas of the triangles and rectangles.

Triangles - (15.2*11.4)1/2 (2)

15.2*11.4 = 173.28

Rectangles - (15.2)(16) = 243.2

(16)(11.4) = 182.4

(16)(19) = 304

Add them all together and the SA equals 902.88 yd²

Volume

V = Bh

V = 1/2(15.2)(11.4)(16)

V = 1/2 (2772.48)

V = 1386.24 yd³

You have a package of 20 assorted thank-you cards. You pick the four cards shown. How many of the 20 cards would you expect to have flowers on them?
what is shows in the picture:
2 with thank you's then one with flowers that says thank you than on with a dragon fly that says thank you for you kindness
this is the question: You would expect ___cards to have flowers on them.

Answers

Out of 20 there are 5 cards which have flowers on them.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have total 20 thank-you cards.

Now, we choose four cards.

Out of 4 cards 2 with thank you then one with flowers that says thank you than on with a dragon fly

So, We choose pair of 4 cards 5 times.

Then, we get total cards with flower

= 1 x 5

= 5

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In which month was the peak, the largest deposit, made?
A January. B June. July. D August

Answers

Answer: It was made in B June

Step-by-step explanation: The following transactions occurred in June through August 2020. June 1 After much thought, Natalie sells a mixer to Curtis on credit, terms n/30, for $1,150 (cost of mixer $620). 30 Curtis calls Natalie. He is unable to pay the amount outstanding for another month, so he signs a one-month, 8.35% note receivable. July 31 Curtis calls

Answer:

C. July

Step-by-step explanation:

It's the tallest one in the plot.

I hope this helped. B)

Please help me out with this homework question

Answers

The answer is 81


Hope that helped!!!

of the 300 students in 8th grade, 180 take PE, 80 take art. 72 take music, 33 take PE and art, 28 take PE and music, and 20 take all three
classes
M= all students taking music
A= all students taking art
P= all students taking PE
Which of the sets has more than 150 students? Select all that apply
AUM
POM
PNAM
PUAUM
1- (PNA)

Answers

Answer:

The sets has more than 150 students

P∪A∪M

-(P∩A)

Step-by-step explanation:

See the attached figure which represents Venn diagram for the question:

180 take PE

80 take art

72 take music

33 take PE and art

28 take PE and music

20 take all three

M= all students taking music

A= all students taking art

P= all students taking PE

Number of students taking PE and art only = 33 - 20 = 13

Number of students taking PE and music only = 28 - 20 = 8

Number of students taking PE only = 180 - (20 + 13 + 8) = 139

Number of students taking ARt only = 80 - (20 + 13) = 47

Number of students taking Music only = 72 - (20 + 8) = 44

Number of students doesn't take any thing =

300 - (20 + 13 + 8 + 139 + 47 + 44) = 29

We will check the options to find the sets has more than 150 students:

1)  A∪M = 13 + 47 + 20 + 8 + 44 = 132 < 150

2) P∩M = 20 + 8 = 28 < 150

3) P∩A∩M = 20 < 150

4) P∪A∪M = 20 + 13 + 8 + 139 + 47 + 44 = 271 > 150

5) -(P∩A) = 300 - (13+20) = 267 > 150

So, The sets has more than 150 students

P∪A∪M

-(P∩A)

Which expression represents 22 more than the difference between 95 and 63
A. (22+95)
B. 22+(95+63)
C. (95-63)+22

Answers

Answer:

C

Step-by-step explanation:

Difference: 95 - 63

22 more: (95 - 63) + 22

Answer:

C. (95-63)+22

Step-by-step explanation:

difference means subtraction

95-63

more than means add after

(95-63) +22

Find the solution(s) to the system of equations. y= x^2 -2x -3 y= x -3

Answers

Answer:

two solutions : (0,-3)  , (3,0)

Step-by-step explanation:

hello :

y= x² -2x -3 ...(*)

y= x -3....(**)

x²-2x-3 = x -3

x²-3x=0

x(x-3) = 0

x=0 or x-3=0

x=0 or x=3

but : y=x-3

1) x=0   y=0-3=-3

2) x=3   y=3-3=0

two solutions : (0,-3)  , (3,0)

Find which term in the geometric sequence 1, 3, 9, 27, ... is the first to exceed 7,000.

hint (use a table)

Answers

Answer:

10th term

Step-by-step explanation:

3ⁿ⁻¹ > 7000

log₃ 7000 = 8.05

n - 1 > 8

n > 9

10th term

check: 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683

Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account that pays 4% intrest compounded annually. How much more money will she have at the end of 10 years if she chooses the account with compound interest?

Answers

Answer:

[tex]\$180.55[/tex]

Step-by-step explanation:

step 1

Simple interest

we know that

The simple interest formula is equal to

[tex]A=P(1+rt)[/tex]

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

[tex]t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04[/tex]

substitute in the formula above

[tex]A=2,250(1+0.04*10)[/tex]

[tex]A=2,250(1.4)[/tex]

[tex]A=\$3,150[/tex]

step 2

Interest compounded annually

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1[/tex]

substitute in the formula above

[tex]A=2,250(1+\frac{0.04}{1})^{1*10}[/tex]  

[tex]A=2,250(1.04)^{10}[/tex]  

[tex]A=\$3,330.55[/tex]

step 3

Find the differences between the two final amounts

[tex]A=\$3,330.55-\$3,150=\$180.55[/tex]

How to write 0.985 in expanded form in decimals

Answers

9/10 + 8/100 + 5/1000

The expanded form of 0.985 is  0.9 + 0.08 + 0.005.

What is decimal?

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Example: 1.2 is the decimal number, where 1 is the whole part and 0.2 is the fractional part.

Given:

The decimal number 0.985.

To find the expanded form of 0.985:

First, convert the number to fractional form.

0.985 = 985/1000

          = 900/1000 + 80/1000 + 5/1000

          = 0.9 + 0.08 + 0.005

0.985 = 0.9 + 0.08 + 0.005

Therefore, 0.9 + 0.08 + 0.005 is the expanded form of 0.985.

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(will give brainlesit if correct )
The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 96 miles due north of the warehouse.

A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled?

156

192

216

252

Answers

Answer:

its 176, the warehouse is 88 miles from the airport and the factory

Step-by-step explanation:

B to the zero power over B to the second power

Answers

Answer:

b^-2  or 1/b^2

Step-by-step explanation:

b^0

--------

b^2

We know when we divide powers of the same base, we subtract

b^(0-2)

b^-2

If we are not allowed negative exponents then

1/b^2

Hi, What is 678 divided by -4 times 56xs then added 7h.

Answers

Answer:-9492xs+7h

Step-by-step explanation:if you do 678 divided by -4 it would be -169.5 then multiply that by 56 witch would be -9492 then times s would be -9492xs then that added to 7h would be -9492xs+7h and your final answer

What is the slope of the line through
(2,−2)(2,-2)
(2,−2)
left parenthesis, 2, comma, minus, 2, right parenthesis
and
(9,3)(9,3)
(9,3)
left parenthesis, 9, comma, 3, right parenthesis
?

Answers

Answer:

Slope is 5/7

Step-by-step explanation:

the slope of a line is given by;

m = (y-y1)/(x-x2)

Where;

y represents the coordinate of point 1 on the Y-axis

x represents the coordinate of point 1 on the X-axis

y1 represents the coordinate of point 2 on the Y-axis

x1 represents the coordinate of point 2 on the X-axis

Points on a line are written as the ordered pair (x, y)

We are given point 1 (2, -2) and it corresponds to (x, y)

Point 2 (9, 3) and it corresponds to (x1, y1)

Therefore the slope,

m = (-2-3)/(2-9)

m = -5/-7

m = 5/7

Therefore, the slope of the line through (2,−2) and (9, 3) is 5/7

Pleaseeeee helppppppppp

Answers

Answer:

1)

b= -7

m=1

2)

b= 4

m=0

3)

b=3

m=-2

Step-by-step explanation:

Answer:

1 . m=1  b =7

2.m=0   b = 4

3. m= -2 b = 3

your welcome mark branliest if possible thanks

Determine the magnitude of the sum of the two vectors: 2.5i+1.8j; -6i-0.7j

Answers

Answer:

Answer for this question would be: A, 3.67

Answer:

A. 3.67

Step-by-step explanation:

1. Add the two vectors (2.5,1.8)+(-6,-.7)=(-3.5,1.1)

2. Find the magnitude using square root of a^2+b^2

sqrt(-3.5)^2+(1.1^2)=sqrt(12.25+1.21)=sqrt(13)=3.67

What is the slope if the line graphed below? Type answer as fraction. Rise divided by run or whole number if can be reduce.

Answers

Answer:

3/5

Step-by-step explanation:

3 up and 5 over from point to point

Answer:

3/5

Rise=3

Run=5

Step-by-step explanation:

For this question it makes it easy because they have provided you with Lines labeled Rise and Run. All you need to do now is Count the rise and run.

For Rise over run if you go up as a rise it's a positive number...But if you go down its a Negative number same with Run.... If it runs to the right its positive and if it runs to the left its negative.

For Rise it goes up...1,2,3 Spaces so Rise is 3

For run it moves to the Right 1,2,3,4,5 spaces so Run is 5

3/5 cant be reduce so it stays as a fraction.

The length of a rectangle is four times the width. The
perimeter of the rectangle is 40 inches. What is the area of
the rectangle (in square inches)?

Answers

Answer:

Step-by-step explanation:

let the width=x

length=4x

P=2(l+w)=2(4x+x)=10x

10x=40

x=40/10=4

width=4 in

length=4×4=16 in

area=16×4=64 square inches.

The required area of the given rectangle is given as 64 inch².

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,
As mentioned in the question,
The length of a rectangle is four times the width.
l = 4w

Now,
The perimeter of the rectangle is 40 inches.
2 [l + w] = 40
2 [4w + w] = 40
5w = 20
w = 4 inches

Length,
l = 4(4) = 16 inches

Area of rectangle = l × w
                          = 16 × 4 = 64 inch²

Thus, the required area of the given rectangle is given as 64 inch².

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the salesman claims that the new machine can produce more items in an 8-hour workday than the old machine is the salesmans claim true​

Answers

Answer:

No

Step-by-step explanation:

the salesman's claim is false because the new machine only makes 20 items an hour and the old one makes 25. So in 8 hours the new machine will only make 160 items and the old one will make 200

I'LL GIVE BRAINLIEST, NEED HELP.
Create a proportion that can be used to solve the following scenario. Solve your proportion and show your work.

As the Space Station orbits around the Earth, it travels about 75 miles in 15 seconds. At that speed, how far would it travel in 12 minutes?

Answers

Answer:

3600 miles

Step-by-step explanation:

75mi/15 seconds is our proportion

there are 60 seconds in 1 minute. 60/15 = 4

there are 12 minutes. 12X 4 = 48

we need to multiply 75 mi by 48 to find our distance

75 X 48 = 3600

Can you get this question answered please

Answers

D, B, C, E, A

You times all the denominators of the fractions to reach one common multiple

Find the measure of Arc QRM

Answers

Answer:

200°

Step-by-step explanation:

The angle subtended at the centre is equal to the measure of the intercepted arc, thus

arc MQ = 85° + 75° = 160°

The measure of the circle is 360°, thus

arc QRM = 360° - 160° = 200°

The answer for this question would be 200°

Avery received $80 in cash for mowing lawns. She did the following with the $80. Put 20% of the $80 into a bank account. Spent 1/4 of the $80. Kept the rest of the $80 in cash. How much of the $80 did Avery keep as cash?

Answers

Answer:

$48

Step-by-step explanation:

To start off, we know that Avery put 20% of the $80 in her bank account. We can figure out how much 20% of 80 is by multiplying 80 by 20% and then subtracting that number from 80. Remember to switch 20% to its decimal form (20% -> .2).

Step 1) 80 x .2 = 16

Step 2) 80 - 16 = 64

Next, we have to figure out how much 1/4 of the remaining $64 would be. We just simply divide 64 by 4 to figure out how much Avery spent.

Step 3) 64 / 4 = 16

Lastly, since we know Avery spent 16 dollars, we can subtract the 16 from 64 to get our final answer.

Step 4) 64 - 16 = 48

Avery kept $44 of the $80 as cash after putting 20% into a bank account and spending 1/4 of it.

Avery received $80 in cash for mowing lawns. Let's calculate how much she kept after her transactions. First, she put 20% of the $80 into her bank account. Calculating 20% of $80 involves multiplying $80 by 0.20, resulting in $16. Next, Avery spent 1/4 of the $80, which equals $20, as $80 divided by 4 gives $20. To find the amount Avery kept as cash, we subtract the amounts she put in her bank and spent from the original $80.

$80 - $16 - $20 = $44

Therefore, Avery kept $44 of the $80 as cash.

4. Mrs. Sloan is purchasing 3.4 pounds of trail mix that costs $4.25 per pound. How
much change will Mrs. Sloan receive if she gives the cashier $20.00
F. $14.45
G. $12.55
H. $5.55
J. $7.45

Answers

The answer is H: $ 5.55

Explanation: you take $ 4.25, which is one pound, and multiply it by how many pounds is being bought, which would be 3.4 pounds, that gives us $14.45, which is the price of 3.4 pounds. We then take $20.00 and take away $14.45. This leaves us with $5.55 which is our change.

Find the zeroes of the function g(x).
g(x) = (x + 9)(x + 6)

Answers

Answer:

[tex]x = -9, x = -6[/tex]

Step-by-step explanation:

Step 1:  Find the zeroes

(x + 9)

[tex]x + 9 - 9 = 0 - 9[/tex]

[tex]x = -9[/tex]

(x + 6)

[tex]x + 6 - 6 = 0 - 6[/tex]

[tex]x = -6[/tex]

Answer:  [tex]x = -9, x = -6[/tex]


The diameter of a bike wheel is 2 ft. How far will the bike go in one rotation of the wheel?

Answers

Answer:

6.3 feet

Step-by-step explanation:

diameter is 2ft.

so the "r" radius is half of diameter. i.e 1 ft.

therefore, circumference of wheel =2  x pi x r

2 x 3.14 x 1 = 6.3

Answer:

the circumference of a circle = 6.26 feet

Step-by-step explanation:

to evaluate how far the  bike will go in one rotation simply means to find the circumference of the wheel

given that

diameter = 2feet

π = 3.14

recall, that

the formulae for calculating the circumference of a circle = 2πr

note diameter = 2 x radius

radius = diameter / 2

radius = 2/2

radius = 1feet

the circumference of a circle = 2πr

the circumference of a circle = 2 x 3.14 x 1

the circumference of a circle = 6.26 feet

0.4x=18=-13 what is x?

Answers

Answer:

x = 77.5

Step-by-step explanation:

Assuming that you meant:

0.4x+18 = -13

Subtract 18 on both sides:

0.4x = -31

Multiple by 5/2 on both sides

x = 77.5

Support me by marking my answer as brainiest

A pack of 4 chocolate bars costs £1.20

What is the price per unit?

Answers

Answer:

30 cents

Step-by-step explanation:

Since 4 bars cost 1.20 pounds, divide 1.20 by 4

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