If x = 9 units, y = 3 units, and h = 8 units, find the area of the rhombus shown above using decomposition.

Answers

Answer 1

Answer:

[tex]Area = 96[/tex]

Step-by-step explanation:

Given

[tex]x = 9[/tex]   [tex]y =3[/tex]    [tex]h = 8[/tex]

See attachment for rhombus

Required

Determine the area

From the attached rhombus:

We have

(1) Triangle

[tex]Base = x;\ \ Height = h[/tex]

The area is:

[tex]Area = 0.5 * Base * Height[/tex]

[tex]A_1= 0.5 * x*h[/tex]

[tex]A_1 = 0.5 * 9 *8[/tex]

[tex]A_1 = 36[/tex]

(2) Triangle

[tex]Base = y;\ \ Height = h[/tex]

The area is:

[tex]Area = 0.5 * Base * Height[/tex]

[tex]A_2 =0.5 * y * h[/tex]

[tex]A_2 =0.5 * 3 * 8[/tex]

[tex]A_2 =12[/tex]

(3) Rectangle

[tex]Area = Length * Width[/tex]

[tex]Length =h; Width = x - y[/tex]

because all sides are equal, so the remaining side is x - y

So:

[tex]A_3 = h * (x - y)[/tex]

[tex]A_3 = 8 * (9 - 3)[/tex]

[tex]A_3 = 8 * 6[/tex]

[tex]A_3 = 48[/tex]

So, the area is:

[tex]Area = A_1 + A_2 + A_3[/tex]

[tex]Area = 36 + 12 + 48[/tex]

[tex]Area = 96[/tex]

If X = 9 Units, Y = 3 Units, And H = 8 Units, Find The Area Of The Rhombus Shown Above Using Decomposition.
Answer 2

Answer: area 72

Step-by-step explanation:


Related Questions

A new color of green requires 5 yellow to 4 parts blue. If the paint mixer used 30 gallons of yellow, how many gallons of blue were needed

Answers

Answer:

24 gallons of blue

Step-by-step explanation:

The number of gallons of blue color needed is for the mixer in which 30 gallons of yellow used, 24

What is the ratio?

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

A new color of green requires 5 yellow to 4 parts blue

The paint mixer used 30 gallons of yellow

The number of gallons of blue color needed = ?

Ratio of yellow to blue in mixture = 5/4

So, if 30 gallons of yellow is used

then gallons of blue = ?

Suppose, gallons of blue =  x

5/4  = 30/x

x  = 24

Hence, the gallons of blue is 24

To know more about Ratio check:

https://brainly.in/question/7996583

#SPJ2

PLEASE HELP ILL GIVE BRAINLIEST
PLEASE SHOW WORK I WAS STUCK ON THIS ONE

Answers

Answer:

Your answer is $19.26

Step-by-step explanation:

I did the math

Answer:

C

Step-by-step explanation:

12.00x50%=6

12.00x7%=0.84

12+6+0.84=18.84

A circle has a circumference of 88cm find the value of it's radius

I need the answer with steps as soon as possible I will give u the brainliest

Answers

Answer:

r≈14.01cm

Step-by-step explanation:

r=C

2π=88

2·π≈14.00563cm

Sorry if im wrong.

The radius of a regular hexagon is 8 cm.
Find the apothem, perimeter and area
of the regular hexagon.

Answers

Answer:

We have,

side= a

= 8 cm

We know that the area of the regular hexagon

[tex] = \frac{3 \sqrt{3} }{2} {a}^{3} [/tex]

[tex] = \frac{3 \sqrt{3} }{2} {8}^{2} [/tex]

[tex] = \frac{3 \sqrt{3} }{2} \times 64[/tex]

[tex] = 96 \sqrt{3} \: \: {cm}^{2} [/tex]

Step-by-step explanation:

Hope it is helpful...

Principal, $2000; Annual interest rate, 5.3%; time, 2 years
After 2 years?

Answers

Answer:

212 and I= 2000+212

              =2212

Step-by-step explanation:

-8(p - 4) = 96 solve for p

Answers

Answer:

-8

Step-by-step explanation:

which statement describes a way to find the median if the data set?​

Answers

answer: D to find the median

Answer:

Step-by-step explanation:

WHOEVER ANSWERS I WILL MARK BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Prime Factorization involves breaking down a number into prime numbers (aka numbers that can only be divided by itself and 1)

36

9  x  4

(3x3) x (2x2)

Hope that helps!

Lets multiply all the choices so we can see if it all multiplied is 36.

A) 2 • 2 • 2 • 3

   4 • 2 • 3

   8 • 3

   24

B) 2 • 2 • 3 • 3

   4 • 3 • 3

   12 • 3

   36

C) 2 • 3 • 3 • 3

   6 • 3 • 3

   18 • 3

   53

D) 1 • 2 • 2 • 3

   2 • 2 • 3

   4 • 3

   12

The answer is B! I hope this helps.


Help me please please

Answers

Answer:

x = 2, use formula of area of triangle by talking x as base and 5 as height.

I need the Area and Perimeter.​

Answers

Answer:

P = 40 m

A = 100 m²

Step-by-step explanation:

(10√2)² = 200

200/2 = 100

side length = √100 = 10 m

P = 10 x 4 = 40 m

A = 10 x 10 = 100 m²

Polynomial Multiplication: Please HELP ITS FOR MATH!!!!

Answers

Answer:

Step-by-step explanation:

1. Monomial times Monomial

2. Binomial times Binomial

3. Binomial times Trinomial

4. Monomial times Trinomial

5. Binomial times Monomial

Answer: (The first number will be for the side on the left and the second will be for the on the right it matches with) (1, 3) (2, 1) (3, 5) (4,2) (5, 4)

Step-by-step explanation:

The nomial number(prefix) is determined by how many terms are in a parentheses. For example, The first one (3z) (9z) has one term bc 3z is one tern and 9z is one term so they are both monomials but b-1 would be a binomial because it has two terms so knowing that should explain my answers

A math club has 40 members. The number of girls is 3 times the number of boys.
a. Write the system of equations that represents this situation. Use the variables g and b to
represent girls and boys.
How do you solve this problem I don’t understand word problem

Answers

Answer:

10

Step-by-step explanation:

Answer:

*i think* 10 boys and 30 girls

Step-by-step explanation:

this is because there are already 10 means, and if you multiply 10 by 3, you get 30

10+30=40

lmk if you have questions!

but if you want the equations then

b + b X 3=40

i think this is what your teacher means

which values are solutions to the inequality below, need explanation to better understand if it can be given.

Answers

Answer:

a b and d

Step-by-step explanation:

Simplify the Multiplication problem below:
3/4 • 2/5=?

Answers

Answer:

3/10 or 0.3

Step-by-step explanation:

3/4 • 2/5= 6/20

6/20= 3/10

A grocery store clerk put only packages of glazed
donuts and packages of chocolate donuts on a
shelf. The ratio of the number of packages of
chocolate donuts to the total number of packages
on the shelf was 5 to 12. Which number could be
the number of packages of glazed donuts the clerk
put on the shelf?

A. 23 B. 18 C. 14 D. 32

Answers

Answer:

c. 14

Step-by-step explanation:

12 - 5 = 7

needs to be a multiple of 7 which 14 is

Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00.

Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get 4 dollars and 60 cents + 4 dollars and 60 cents = 9 dollars and 20 cents for the 15% gratuity.”

How should Antoine respond to Tess’s method?
“Tess, the best way to find 15% of $46.00 is to multiply StartFraction 1 over 15 EndFraction by $46.00 to get $3.07, which is the 15% gratuity.”
“Tess, you found 20% of the number because you added 10% and 10%. You need to add 10% to One-half of 10%. Add $4.60 and $2.30 to get $6.90, which is the 15% gratuity.”
“Tess, the best way to find 15% of $46.00 is to multiply 0.015 and 46.00 to get $0.69, which is the 15% gratuity.”
“Tess, you should use a table with 5% segments to find the gratuity. Each 5% segment has a value of $9.20, so that is the 15% gratuity.”

Answers

Answer:

How would Antonio respond....she would say "Thanks for the practice ".

Tess is right about it being easy to find 10% of 46 by moving the decimal point 1 place to the left to get 4.60.....but there is no need to do that twice....because if u do 10% twice, ur doing 20%.

okay....once u get 10% of 46 = 4.60....then u figure 5% of 46 = (0.05(46) = 2.30....because 10% + 5% = 15%.....then u add those together.....4.60 + 2.30 = 6.90. This can easily be checked...15% of 46 = 0.15(46) = 6.9 ,just like 10% of 46 + 5% of 46 = 6.9

Answer:

Rergvfgvf

Step-by-step explanation:

Find the volume of the figure

Answers

Answer:

760ft

Step-by-step explanation:

First you find the volume of the rectangle thing :)

so 14 times 19 times 2 = 532ft

than you need to do the triangle so 20 - 14 (for base length) is 6

so 19 times 6 times 2 = 228ft

now you ad them, so 532 + 228 = 760

Which one is the correct answer, please help.

Answers

Answer:

one solution

one solution

Factor x3y6 + 27z42. (xy3 + 3z39)(x2y9 – 3xy3z39 + 9z1,521) (xy3 + 3z39)(x2y6 – 3xy3z39 + 9z78) (x3y6 + 27z42)(x6y12 – 27x3y6z42 + 729z84) (xy2 + 3z14)(x2y4 – 3xy2z14 + 9z28)

Answers

Answer:

[tex]x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})[/tex]

Step-by-step explanation:

Given

[tex]x^3y^6 + 27z^{42[/tex]

Required

Factor

Express both terms as a cube

[tex]x^3y^6 + 27z^{42} = (xy^2)^3 + (3z^{14})^3[/tex]

Let

[tex]a =(xy^2)[/tex]

[tex]b = (3z^{14})[/tex]

So:

[tex]x^3y^6 + 27z^{42} = a^3 + b^3[/tex]

Using sum of cubes:

[tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)[/tex]

So:

[tex]x^3y^6 + 27z^{42} = (a + b)(a^2 - ab + b^2)[/tex]

Substitute in, values of a and b

[tex]x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})((xy^2)^2 - (xy^2)*(3z^{14}) + (3z^{14})^2)[/tex]

[tex]x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})[/tex]

Answer:

its d

Step-by-step explanation:

17
What is the center and radius of the circle with the equation
2? + y2 - 2x + 4y - 4 = 0?
1) Radius:
Center:

Answers

Answer:

[tex] Center = \boxed{1}, \: \boxed{ - 2} \: ; \: Radius = \boxed{3}[/tex]

Step-by-step explanation:

[tex] {x}^{2} + {y}^{2} - 2x + 4y - 4 = 0 \\ \\ ({x}^{2} - 2x + 1 - 1) + ( {y}^{2} + 4y + 4 - 4) - 4 = 0 \\ \\ ( {x}^{2} - 2x + 1) + ( {y}^{2} + 4y + 4) - 9 = 0 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = 9 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = {3}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = - 2 \\ r = 3 \\ \\ center = \boxed{1} \: \boxed{ - 2} \: \: radius = \boxed{3}[/tex]

Alexandra is going to wrap the presents to give to her twin sisters for there birthday. How much wrapping paper will she need

Answers

Answer:

Step-by-step explanation:

2

Answer:

2 wrapping paper

Explanation:

2 wrapping paper because there are 2 twin sisters

So, therefore 2 wrapping paper

Area and Perimeter. ​

Answers

Answer:

A = b x h

P = b + b + h + h

A = 84 in

P = 38 in

a= 84

p= 38

Like a neighbor, state farm is there.

What function would reveal the minimum of f(x) = 2x^2 + 8x + 6

Answers

Answer: derive function f(x) and you get f'(x) = 4x+ 8

Step-by-step explanation: Derivation gives a function which tells

Is original function increasing or decreasing.

When f'(x) = 0, it means that original function of second degree

Changes its direction. Now you solve 4x+8 = 0 and x=-2.

That's the minimum point in his case.

what is the greatest common factor of the polynomials: 35x^4+10x^3+25x^2

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

5x^2

Step-by-step explanation:

35x^4 + 10x^3 + 25x^2 =

Break up each term into a product of all its prime factors.

= 5 * 7 * x * x * x * x + 2 * 5 * x * x * x + 5 * 5 * x * x

Now see which factors are in common to all terms.

GCF = 5x^2

Find the area of a pizza with radius 4 inches.

Answers

Answer:

50.24

Step-by-step explanation:

4x4x3.14

(4 because of the radius)

(3.14 because of pi)

Write an exponential decay model for each situation. The value of x for each value of f(x) will lie between two consecutive whole numbers. List the whole numbers.

initial value: 1,800
decay rate: 7%
f(x) = 400

Answers

Answer:

The numbers are;

20 and 21

Step-by-step explanation:

A general form of an exponential decay model can be presented as follows;

f(x) = a·(1 + r)ˣ

Where;

f(x) = The output for a given input variable, 'x'

x = The input variable

a = The initial value

r = The growth (+ve) or decay (-ve) rate

When f(x) = 400, a = 1,800, r  = -7% = -0.07, we get;

400 = 1,800 × (1 - 0.07)ˣ

(1 - 0.07)ˣ = 400/1,800 = 2/9

ln((1 - 0.07)ˣ) = ln(2/9)

x = ln(2/9)/(ln(1 - 0.07)) ≈ 20.73

The value of 'x' lies between 20 and 21.

Can someone please please help me
I’ll give brainiest

Answers

Answer:

$13.50

Step-by-step explanation:

So excluding tax and tip, let's find the cost of the meal.

$6.70 + $1.95 + $2.35 =  $11.00

Now let's add the 4.5% tax. We do this by adding 4.5% of 11.00 to 11.00

$11.00 + 0.045($11.00) = $11.495 which rounds to 11.50

Now the tip is 2 dollars, so add 2 to 11.50 to get $13.50

$6.70 + $1.95 + $2.35 = $11
4.5% sales tax is $0.50 so $11 + $0.50 = $11.50
$11.50 + $2.00 tip = $13.05

A $60 sweater is on sale for 25% off. There is an additional 10% discount offered if you sign up for a credit card. What is the sale price of the sweater if you sign up for a credit card?

Answers

Answer:$39

Step-by-step explanation:

Answer: $39.00 I'm pretty sure

PLZ ANSWER FOR TEST
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z

A. 113.5°
B. 47.5°
C. 46.5°
D. 180°​

Answers

Answer:

C

Step-by-step explanation:

19.9 + 113.6 = 133.5

180-133.5= 46.5

Answer:

[C] 46.5°

Step-by-step explanation:

Given:

In triangle xyz, angle x measures 19.9° and angle

y measures 113.6°. what is the measure of angle z

Note that:

Triangle = 180 degree

Solution:
Since,

x = 19.9 degree

y = 113.6 degree

then we have:

19.9 + 133.6 + z = 180

133.5 + z = 180

Subtract both sides by 133.5

133.5 - 133.5 = 180 - 133.5

x = 46.5 degree

Hence, the measure of angle z is 46.5

Also means that [C] 46.5 is the correct answer.

Kavinsky

7. One pint is equal to 2 cups. Gavin's
recipe lists a cup of milk. How many
pints of milk is this?
Answer quick PLZZ no website

Answers

Answer:

1/2 pint or 0.5 pint

Step-by-step explanation:

1 pint = 2 cups

(1 pint)/2 = 1 cup

1/2 pint = 1 cup

1/2 pint or 0.5 pint

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