In rectangle FGHK, FC = CH = 8.5 cm. What is the area of rectangle FGHK?

8.5 cm
15cm^2
120cm^2
125.5cm^2

In Rectangle FGHK, FC = CH = 8.5 Cm. What Is The Area Of Rectangle FGHK?8.5 Cm15cm^2120cm^2125.5cm^2

Answers

Answer 1

Answer:

we have the width is 8 cm and the diagonal line is 17 cm so to get the length you're going to use Pythagoras theorem so 8 centimetres will be represented by a 17cm will be represented by c then length will be represented by b so b squared is equals to c squared minus a squared say 17 squared - 8 squared 17 squared is 289 while 8 squared is 64 the result will be 225 so b squared is equals to 225 to get b we will get the square root so b is equals to 15 so our length is 15 the area is equals to length x width so 15 * 8 you get 120 square centimetres

Answer 2

120 square centimeters is the area of rectangle FGHK.

What is area of a rectangle?

Area of a rectangle (A) is the product of its length (l) and width (w).

here, we have,

from the given figure,

we have the width is 8 cm and the diagonal line is 17 cm

so to get the length you're going to use Pythagoras theorem

so 8 centimeters will be represented by a

17cm will be represented by c

then length will be represented by b

so b squared is equals to c squared minus a squared

say 17 squared - 8 squared

17 squared is 289 while 8 squared is 64

the result will be 225

so b squared is equals to 225

to get b we will get the square root

so b is equals to 15

so our length is 15

the area is equals to length x width

so 15 * 8

you get 120 square centimeters.

hence, 120 square centimeters is the area of rectangle FGHK.

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Related Questions

Please help!! I don’t know it

Answers

1) m=2
B=8
Y=2x+8
2) the slop is 2
3)the slope is 0
4)the slop is -4/3

I need helppp!!!!!!!!!

Answers

Answer: 0.5 and 9

Explanation:

6x + 1 _> 4
6x _> 3
x _> 1/2

-2x + 8 > -12
-2x > -20
x < 10

Thus, 1/2 <_ x < 10 meaning that x is bigger or equal to 1/2 but less than 10.

And if we look at our choice we see that 0.5 and 9 meets the condition

what is the decimal multiplier to increase by 2.5%

Answers

%100 x 2,5 is the answer

Pls help me with this question

Answers

Answer:

option C, x=1

Step-by-step explanation:

[tex]2^{9x-3} = 8^{3-x}[/tex]

[tex]2^{9x-3} = (2^3)^{3-x}[/tex]

[tex]2^{9x-3} = 2^{9-3x}[/tex]

cut 2 from LHS and RHS  you will get,

9x-3 = 9-3x

9x + 3x = 9 + 3

12x = 12

x = 12/12

x = 1

therefore, option C is the correct option

hope it helps you!

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{x = 1}}}}[/tex]

Option C is correct.

Step-by-step explanation:

[tex] \text{First ,\: let's \: know \: about \: exponential \: equation} : [/tex]

Exponential Equation

An equation in which variables appears as an exponent of a base is known as exponential equation. The following axioms are useful while solving the exponential equations :

If [tex] \sf{ {a}^{x} = {a}^{b} }[/tex] , then x = bIf aˣ = 1 , then aˣ = a⁰ and x = 0

Thus , while solving an exponential equation, we should simplify the equation till the equation is obtained in the form [tex] \sf{ {a}^{x} = {a}^{b}} [/tex] or aˣ = 1 .

Now, let's start to solve :

[tex] \sf{ {2}^{(9x - 3)} = {8}^{( 3 - x)}} [/tex]

➸ [tex] \sf{ {2}^{9x - 3} = {2}^{3(3 - x)} }[/tex]

➸ [tex] \sf{ {2}^{9x - 3} = {2}^{9 - 3x}} [/tex]

➸ [tex] \sf{ \cancel{2} ^{ \: 9x - 3} = \cancel{2} ^{ \: 9 - 3x} }[/tex]

➸ [tex] \sf{9x - 3 = 9 - 3x}[/tex]

➸ [tex] \sf{9x + 3x = 9 + 3}[/tex]

➸ [tex] \sf{12x = 12}[/tex]

➸ [tex] \sf{ \frac{12x}{12} = \frac{12}{12}} [/tex]

➸ [tex] \boxed{ \sf{x = 1}}[/tex]

The value of x is 1 .

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]


help meee please :))))

Answers

Answer:

90°

Step-by-step explanation:

what is the slope of the line?​

Answers

Answer:

I am pretty sure it's -3/1, correct me if I am wrong!

Step-by-step explanation:

Answer:

-3/1

Step-by-step explanation

You see where the line meets the corners of the squares on the graph. The equation for slope is m=rise over run. You rise three squares, and go to the right one.

the empire state building weighs about 7.3X10 to the 8 power (pounds) the world trade center building weighs about 88,200,000 pounds. what’s is total weight, in pounds, of these two buildings? Expressing your answer in scientific notation in the form aX10 to the power of B, what are the values of A and B?

Answers

Answer:

which principle prevents a brach from abusing  its powerwhich principle prevents a brach from abusing  its power

Step-by-step explanation:

Marcos is baking a cake. He has a recipe for a large cake that calls for 6 cups of flour, 2 cups of sugar, and 1 cup of butter. Marcos only has ½ cup of sugar, so he's going to make a smaller cake. How much flour and butter should he use in his recipe?

Answers

Answer:

3/2 cups of flour

1/4 cups of butter

Step-by-step explanation:

Cups of flour = 6

Cups of sugar = 2

Cup of butter = 1

Marcos only has ½ cup of sugar, so he's going to make a smaller cake.

Cups of sugar for big cake = 2

Cups of sugar for small cake = 1/2

Ratio of cups of sugar for big cake to small cake is

= 2 : 1/2

= 2 ÷ 1/2

= 2 × 2/1

= 4

This means to make smaller cake, all recipes should be divided by 4

Flour for small cake = flour for big cake / 4

= 6 / 4

= 3/2 cups of flour

= 1.33

Butter for small cake = Butter for big cake / 4

= 1 / 4 cups of butter

= 0.25

PLEASE ANSWER AS SOON AS POSSIBLE
The cost of 4 peaches is $4.96. What is the constant of proportionality that relates the cost in dollars, y, to the number of peaches, x? Write the corresponding linear equation.

Answers

4x (4 peaches) = 4y (4.96$)
x (4/4 peaches=1) = y (4.96$ / 4 = 1.24$)
y f(x) = 1.24$

i need help with this please ​

Answers

Answer:

Yes because the y value is 0 thus the ordered pair is located on the x - axis

Step-by-step explanation:

Yes it is on the x-axis because the y coordinate is 0 meaning it is on the x-axis line

Solve for b.
ab +c=d

Answers

Answer: B = [tex]\frac{-c}{a}[/tex] + [tex]\frac{d}{a}[/tex]

Step-by-step explanation:

you need to get B alone so that would be subtracting everything around it

ab = -c + d

then you need to get that a away from it by dividing both sides by A

B = [tex]\frac{-c}{a}[/tex] + [tex]\frac{d}{a}[/tex]

Review the steps in the derivation of the tangent sum identity. The steps are not in order.

A 2-column table with 4 rows. Column 1 has entries 1, 2, 3, 4. Column 2 has entries StartFraction sine (x + y) Over cosine (x + y) EndFraction, StartStartFraction StartFraction sine (x) cosine (y) Over cosine (x) cosine (y) EndFraction + StartFraction cosine (x) sine (y) Over cosine (x) cosine (y) EndFraction OverOver StartFraction cosine (x) cosine (y) Over cosine (x) cosine (y) EndFraction minus StartFraction sine (x) sine (y) Over cosine (x) cosine (y) EndFraction EndEndFraction, StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction, StartFraction sine (X) cosine (y) + cosine (x) sine (y) Over cosine (x) cosine (y) minus sine (x) sine (y) EndFraction.

Which list shows the steps in the correct order?

I --> II --> IV --> III
I --> IV --> II --> III
III --> I --> II --> IV
III --> I --> IV --> II

Answers

Answer:

The answer is B: I  IV II  III

Step-by-step explanation:

Just did it

The sequence for the derivation of tangent sum identity is option I --> IV --> II --> III.

What is trigonometric identity?

The trigonometric identities is the relationship between the different trigonometric ratios. These trigonometric identities are the basic formulae that are true for all the values of the reference angle.

For the given situation,

The derivation for the tangent sum identity is given in the table below.

The derivation follows the steps,

[tex]\frac{sin(x+y)}{cos(x+y)}[/tex]

we know that, [tex]sin(x+y) = sinx cosy + cosx siny[/tex] ,

[tex]cos(x+y)=cosxcoxy - sinxsiny[/tex] and

[tex]\frac{sinx}{cosx}=tanx[/tex]

⇒ [tex]\frac{sinxcosy + cosxsiny}{cosxcosy-sinxsiny}[/tex]

Divide each term by [tex]cosxcosy[/tex]

⇒ [tex]\frac{\frac{sinxcosy}{cosxcosy} +\frac{cosxsiny }{cosxcosy} }{\frac{cosxcosy}{cosxcosy} -\frac{sinxsiny}{cosxcosy} }[/tex]

⇒ [tex]\frac{tanx+tany}{1-tanxtany}[/tex]

Hence we can conclude that the derivation of tangent sum identity is option I --> IV --> II --> III.

Learn more about trigonometric identity here

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2x -3 >7 solve please

Answers

Answer:

4

x

2

28

x

+

49

Step-by-step explanation:

Its Not The Answer But Its Your Question Simplified

Answer:

I don't know if this is correct but it probably is but I got x=5

Step-by-step explanation:

you write the equation and put the line through the sign, and cross out the 3. Then you are going to add 3 to the seven which will then equal 2x > 10. Then you cross out the 2 and divide both side with the 2. and 10 divided by 2 is 5 so therefore x equals 5.

can someone please help me with this ​

Answers

Answer:

m<B=74°

Step-by-step explanation:

3x-23+2x-12=180

5x-35=180

5x=180+35

5x=215

x=215÷5

x=43

m<B=2x-12=2(43)-12=86-12=74

answer:

b= 10x i pretty sure

Step-by-step explanation:

(Help!!)Select all the true statements.

Answers

Answer:

the first choice, the second choice, and the last choice

Step-by-step explanation:

5 and 6 because they are alternate angles

2 and 3 because they are corresponding angles

2 and 4 because they are corresponding angles

At a pumpkin patch, if Armando guesses the weight of his pumpkin within 0.3 pounds, he gets to take the pumpkin home for free. If his pumpkin weighs 4.9 pounds, which two equations can be used to find the minimum and maximum weights he can guess in order to get his pumpkin for free?

x – 0.3 = 4.9 and x – 0.3 = –4.9
x + 0.3 = 4.9 and x + 0.3 = –4.9
x + 4.9 = 0.3 and x + 4.9 = –0.3
x – 4.9 = 0.3 and x – 4.9 = –0.3
Please Help <3

Answers

Answer:

x – 4.9 = 0.3 and x – 4.9 = –0.3

Answer:

d

Step-by-step explanation:

What is 2 + 2, minus 4?

Answers

Answer:

0

Step-by-step explanation:

2 + 2 = 4 and then 4 - 4 = 0

Answer:

0

Step-by-step explanation:

2 + 2 - 4 =

4 - 4 =

0

Hope this helps.

decrease £240 by 10%

Answers

Answer:

216

Step-by-step explanation:

240 - 240(.10)

= 240 - 24

= 216

Alternative method:

240(.90) = 216

please help me i really dont understand

Answers

You add all of them together

Answer:

48

Step-by-step explanation:

solve the equation. -3x^2=12x+12
a.) no real solution
b.) x= -2
c.) x= 2
d.) x= -2 and x=2

Answers

3x^2+12x+12=0
=(3x+6)(x+2)
b) x=-2

What is the value of x

Answers

Answer:

98 degrees

Step-by-step explanation:

First calculate the entire triangles angles:

180 - 53 - 45 = final angle of triangle

82 = final angle of triangle

Using the straight line rule for angles, x and the inner angle must equal to 180 degrees:

180 - 82 = x

98 = x

Angle x is 98 degrees.

What is the Nature of Roots of x^2+9x+14=0?

Answers

Answer:

(x+7)(x+2)

Step-by-step explanation:

If we multiply it out we get:

x * x = x^2

7 * x = 7x

2 * x = 2x

7 * 2 = 14

Add it all, we get: x^2 +9x+14

Therefore these are the factors

2 2/3 as a improper fraction

Answers

Answer:

8/3

Step-by-step explanation:

Answer: 8/3

Step-by-step explanation: if you write 2 has a fraction with the denominator being 3 you will get 6/3 then you can add 6/3+2/3=8/3

Can someone do this for me ill give you brainliest

Answers

Answer:I think you make somthing like i think task one would be lets say (Av)task two would be like(Bx) and it would all end out like this C

Av+Bx=C

Step-by-step explanation:

Ryan earned a yearly income of $67,000, he needed to pay an income tax of 17% . What was the amount of income tax he paid

Answers

Answer:

11,390

Step-by-step explanation:

67,000 x 17%= 11,390


Finn looked at 2 websites every 18 hours. At that rate, how long, in
hours, will it take to look at 4 websites? Plz help

Answers

Answer: 1 day, 12 hours (36 hours)

Given that Finn looked at 2 websites every 18 hours, let's solve the problem.

Multiply by 2, because he looks at 4 websites, and 2 x 2 = 4.

18 x 2 = 36.

The answer should be 36. Hope this helps you!

Choose the best representation 8/11

Answers

Ya where are the options....?

Determine the constant of variation for the direct variation given.
R varies directly with S. When S is 16, R is 80.
1/5
5
16

Answers

Answer:

The constant of variation is k=5

Step-by-step explanation:

Proportions

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

[tex]y=k\cdot x[/tex]

Where k is the constant of proportionality.

We know R varies directly with S. Their relationship is:

[tex]R=k\cdot S[/tex]

We also have when S=16, R=80. Thus:

[tex]80=k\cdot 16[/tex]

Solving for k:

[tex]k=80/16=5[/tex]

The constant of variation is k=5

Could someone help me to understand this please? It would mean a lot

Answers

Answer:

A: AD

B: 25x15=375

Step-by-step explanation:

A: AD is parallel because the lines are the same.

B: AB = 25mm

BC = 15mm

25x15 = 375mm

The image below is for reference to Question B.

- 71 = x/64

One step

Answers

Answer:

x=-4544

Step-by-step explanation:

- 71 = x/64

Multiply each side by 64

- 71 *64 = x/64 *64

x=-4544

Answer:

x=−4544

Step-by-step explanation:

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