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
8m+6 What is the constant
Answers
Answer:
the answer is 6
One math student, John, can solve 6 math problems in 20 minutes while another student, Juaquine, can solve the same 6 math problems at a rate of 1 problem per 4 minutes. Who works faster?
1.John
2.Juaquine
Answers
Answer:
John
Step-by-step explanation:
6/20=0.3
1/4=0.25
Juaquine is solving problems at a faster rate as compared to John.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
As per the question, we can compare their rates of problem-solving by calculating the number of problems they can solve per minute.
For John, this is 6 problems / 20 minutes = 0.3 problems per minute.
For Juaquine, this is 6 problems / (4 minutes/problem) = 1.5 problems per minute.
Since Juaquine can solve 1.5 problems per minute compared to John's 0.3 problems per minute, Juaquine is solving problems at a faster rate.
Hence, Juaquine works faster as compared to John.
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A middle school took all of its 6th-grade students on a field trip to see a ballet at a theater that has 2500 seats. The students filled 1475 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answers
Answer:
59%
Step-by-step explanation:
1475 / 2500 = 0.59 or 59%
Step-by-step explanation:
X-4>3
Hellllp me please
Answers
x is equal to 8 and any numner greater than 8
Answer:
X is larger than 7
Step-by-step explanation:
X-4>3
X>3+4
X>7
Write the equation of the horizontal line that passes through (-3, 4).
Answers
Answer:
y=4
Step-by-step explanation:
if u remember
Vertical
Unidentified
X intercept
Horizontal
O =zero
Y Intercept
so if it's horizontal if goes through the y axis and the coordinate gives you (-3,4) so the y axis will be 4.
What is the decimal equivalent of 8/3
Answers
Answer:
2.6666666666666. . . (2.67 rounded to the nearest hundredth)
Step-by-step explanation:
(Sorry if I am wrong. Please don't get mad at me)
Hope I helped :)
Birthday Polynomial Project Birthday October 9,2003 Help pls anyone
Answers
Answer: I don't know what you need help on with this question
Step-by-step explanation:
I would help if I knew
I need help this this maths
Answers
Answer:
Step-by-step explanation: I would say the ones with Y= goes into functions and the “X” goes into not function (this is an guess that is half way right)
THIS IS ALL MY POINTS
Answers
Answer:
A. Yes, because it passes the vertical line test.
Step-by-step explanation:
We just started this unit in math class so I'm realitivly new to it but I tried my best to answer your question as accurately as possible! Have a wonderful rest of your day and I hope my answer was helpful and accurate!
Answer:
A. Yes, because it passes the vertical line test.
Step-by-step explanation:
We just started this unit in math class so I'm realitivly new to it but I tried my best to answer your question as accurately as possible! Have a wonderful rest of your day and I hope my answer was helpful and accurate!
Step-by-step explanation:
P.S don't trust tutors...
...they are always (mostly) wrong
Is the change in Vivians elevation from The bottom of the ferris wheel to the top a positive number or negative number? Why?
Answers
Answer:
Step-by-step explanation: The change in Vivian’s elevation is a positive number because her elevation increased as she moved from the bottom back to the top.
Select three ratios that are equivalent to16:12
Answers
Answer:
256:144
48:36
32:24
:)
How many pounds are in 2 and 3 fourth tons
Answers
Answer:
5500
Step-by-step explanation:
Answer: 2 tons
Step-by-step explanation:
A triangle has angle measurements of 80°, 90°, and 10°. What kind of triangle is it?
acute
right
obtuse
Answers
Answer:
Right.
Step-by-step explanation:
It has a 90 degree angle, so that automatically makes it a right triangle.
This degrees ate less than 90°
What value of n makes the equation true?
-2n + 1.8 = 3.2
Answers
Answer:
n = -0.7
Step-by-step explanation:
-2n + 1.8 = 3.2
-1.8 -1.8
-----------------------
-2n = 1.4
/-2 /-2
--------------
n = -0.7
3.2-1.8= 1.4
1.4 divided by -2= -0.7
please help me!!! It’s due Thursday
Answers
Answer:
sorry man
Step-by-step explanation:
(couldn’t see question well,but i think that’s the answer)
5x + 15 + 5x +15 +5x
Answers
Answer:
15x + 30
Step-by-step explanation:
I'm pretty sure it's that. Hope it's right!
Answer:
15x+30
Step-by-step explanation:
Idk if this is what your looking for <3
Which of the following real numbers is NOT and irrational number?
A 35
B 51
C 29
D 49
Answers
Answer:
B
Step-by-step explanation:
cause i said so
Always thinking about food, Scooby-Doo and his crew went out to eat. Their total bill was about $82. If the group wanted to leave a 20% tip, how much will the tip cost? (Can you also show your work?)
Answers
Answer: it will be $16.4
Step-by-step explanation:
Answer: 16.40
Step-by-step explanation:
82 * 20 = 16.40
A gallon of gasoline at the local gas station
cost $2.69. If you put 8 gallons of gasoline
in your car, how much will it cost you
Answers
Answer: $21.52
Step-by-step explanation: 2.69 times 8 = $21.52
How many sides does a regular polygon have if the measure of an exterior angle is 18⁰?
Answers
Answer:
We do this by dividing 360° by the size of one exterior angle, which is 72°. The answer is 360° ÷ 72° = 5 sides. to see whether you are correct.
Please help it's urgent!
Solve for r: S = 4pier^2
Answers
Answer: i cant type it but take the images- hope that helps
Step-by-step explanation:
Write the domain as an inequality!!!
Answers
Answer: [tex]x \le -1[/tex]
=================================================
Explanation:
The domain is the set of all possible x values of a function.
The largest x can get is x = -1, since this x value applies to the x coordinate of the right most point on the curve. The filled in circle indicates we include this endpoint as part of the domain.
There is no smallest x value due to the arrow showing the curve goes on forever in that direction.
We can write the domain as [tex]-\infty < x \le -1[/tex] but it's better to write [tex]x \le -1[/tex]
Put another way: the domain consists of values that are -1 or smaller.
Does this graph represent a function? Why or why not?
10+
8.1
8+
2
06142
10
A. Yes, because it passes the vertical line test,
B. Yes, because it is a curved line.
C. No, because it fails the vertical line test.
D. No, because it is not a straight line.
Answers
suppose y varies directly as x. if y= -7 when x=-14 find x when y=10.
Answers
Answer:
x=20
Step-by-step explanation:
we see that the connection between y and x is that y is always 1/2 as much as x.
What is the slope of a line parallel to y = 10?
Answers
Answer: y=6
Step-by-step explanation:
because y=10 is a vertical line so you can put any number in y= ____
Selena is simplifying the expression (6 h Superscript 5 Baseline) squared. She wrote (6 h Superscript 5 Baseline) squared = box h Superscript 10.
What number should Selena put in the box?
Answers
Answer:
36 is the correct answer on edge
Step-by-step explanation:
(6h^5)^2 is our expression
1. Break it up:
6 x 6, h^5 x 2
2. Solve
36, h^10
therefore:
36h^10
Answer:
36
Step-by-step explanation:
3 times a number f increased by 5 squared
Answers
Answer:
3f + 5²
Step-by-step explanation:
3 times a number f means we could just put them together, aka 3f. Then increased means we can add. Next you see 5 squared. Squared means the exponent is 2, or you are multiplying the number with itself.
Box 2:
length
• width • height = (4x-1). x•x^3?
volume = 4x^5 -x
Degree of length:
Degree of width:
Degree of height:
Degree of volume:
DONE
Answers
Answer:
1.) Volume= Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is Length × Width × Height
2.) Terms in this set (4)
Measure 50 ml of water into a gradulated cylinder.
Place object in cylinder and measure the new volume.
Subtract the 50ml from the new volume.
The difference in the volume is the volume. of the object.
3.) Graduated cylinders
4.) Particles behave differently within each state of matter: solid, liquid, and gas. The particles give matter a property called mass. The mass of an object is related to the amount of material that makes up the object and how hard the object is to move. Simple experiments can show how gases have mass.
Explanation:
1.) Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre.
SI unit: Cubic metre
In SI base units: 1 m3
2.) If the object has an irregular shape , the volume can be measured using a displacement can . The displacement can is filled with water above a narrow spout and allowed to drain until the water is level with the spout. As the irregular object is lowered into the displacement can, the water level rises.
3.) Today they will practice measuring different liquids. They will use a container called a graduated cylinder to measure liquids. Graduated cylinders have numbers on the side that help you determine the volume. Volume is measured in units called liters or fractions of liters called milliliters (ml).
4.) Mass is a measure of the amount of matter in an object. Mass is usually measured in grams (g) or kilograms (kg). ... An object's mass is constant in all circumstances; contrast this with its weight, a force that depends on gravity. Your mass on the earth and the moon are identical.
~-Long Story short, its 1 = Degree of Length
1 = Degree of Width
3 = Degree of Height That's is all summed up!-~
5 = Degree of Volume
Ⓗⓞⓟⓔ ⓣⓗⓘⓢ Ⓗⓔⓛⓟⓔⓓ❕
~
The degrees of the given dimensions are degree of length= 1 ,degree of width = 1 , degree of height= 3 , degree of volume = 5
To determine the degree of each dimension and the volume for Box 2, let's consider the expressions:
Length = (4x - 1)
Width = x
Height = x³
Volume = Length × Width × Height
Volume = (4x - 1) × x × x³
Now, let's simplify the volume expression:
Volume = (4x² - x) × x³
Volume = 4x⁵ - x⁴
Now, let's find the degrees of each dimension and the volume:
Degree of length:
The degree of the length dimension is the highest power of x in the expression (4x - 1). The highest power of x in this expression is 1.
Degree of width:
The degree of the width dimension is the highest power of x in the expression x. The highest power of x in this expression is 1.
Degree of height:
The degree of the height dimension is the highest power of x in the expression x³. The highest power of x in this expression is 3.
Degree of volume: The degree of the volume is the highest power of x in the expression 4x⁵ - x⁴. The highest power of x in this expression is 5.
Therefore, the degrees are as follow,
Degree of length: 1
Degree of width: 1
Degree of height: 3
Degree of volume: 5
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Given the relation y = 7x^2 + 3, if the input is 4, what is the output? (4 points) 115 116 118 120
Answers
Answer:
115
Step-by-step explanation:
PLug in 4 as the value of x.
7 (4)^2 + 3
7 (16) + 3
112 + 3
115.
The output is 115.
pls help!!!!!!!!!!!!!
Answers
Answer:
All triangles have 180 degrees.
Step-by-step explanation: