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
Answers
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
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
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
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.
PLEASE ANSWER AS SOON AS POSSIBLE
The cost of 4 peaches is $4.96. What is the constant of proportionality that relates the cost in dollars, y, to the number of peaches, x? Write the corresponding linear equation.
Answers
x (4/4 peaches=1) = y (4.96$ / 4 = 1.24$)
y f(x) = 1.24$
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 EquationAn 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 = 0Thus , 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!!)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
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
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.
help meee please :))))
Answers
Answer:
90°
Step-by-step explanation:
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.
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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
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.
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:
Please help!! I don’t know it
Answers
B=8
Y=2x+8
2) the slop is 2
3)the slope is 0
4)the slop is -4/3
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.
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!
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
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:
what is the decimal multiplier to increase by 2.5%
Answers
please help me i really dont understand
Answers
Answer:
48
Step-by-step explanation:
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:
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]
I need helppp!!!!!!!!!
Answers
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
- 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:
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:
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:
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+6)(x+2)
b) x=-2
decrease £240 by 10%
Answers
Answer:
216
Step-by-step explanation:
240 - 240(.10)
= 240 - 24
= 216
Alternative method:
240(.90) = 216
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.
Choose the best representation 8/11