Answers
Answer:
a = 25m^2
b = 5m
d = 35.73 m^2
c = 7.94m
Step-by-step explanation:
First, remember that the area of a square of side length L is:
A = L^2
And for a triangle rectangle with catheti a and b, and hypotenuse H, we have the relation:
H^2 = a^2 + b^2 (Phytagorean's theorem)
Ok, let's look at the left image, we have a green triangle rectangle.
The bottom cathetus has a length equal to the side length of a square with area of 16m^2
Then the side length of that square (and the cathetus) is:
L^2 = 16m^2
L = √(16m^2) = 4m
The left cathetus has a length equal to the side length of a square of area = 9m^2
Then the side length of that cathetus is:
K^2 = 9m^2
K = √(9m^) = 3m
Then the catheti of the green triangle rectangle are:
4m and 3m
Then the hypotenuse of this triangle (b) is:
b^2 = (4m)^2 + (3m)^2
b^2 = 16m^2 + 9m^2 = 25m^2
b = √(25m^2) = 5m
And b is the side length of the red square, then the area of that square is:
a = b^2 = 25m^2
Now let's go to the other image.
Here we have an hypotenuse of side length H, such that:
H^2 = 144m^2
And we have a cathetus (the one adjacent to the green triangle) of side length L such that:
L^2 = 81m^2
The other cathetus will have a sidelength c, such that:
c^2 = area of the purple square
By the Pythagorean's theorem we have:
144m^2 = 81m^2 + c^2
144m^2 = 81m^2 + c^2
144m^2 - 81m^2 = c^2
63m^2 = c^2
(√63m^2) = c = 7.94m
And the area of a triangle rectangle is equal to the product between the catheti divided by two.
We know that one cathetus is equal to c = 7.94m
And the other on is equal to the square root of 81m^2
√(81m^2) = 9m
then the area of the triangle is:
d = (7.94m)*(9m)/2 = 35.73 m^2
Related Questions
Last week, gas cost $2.50/gallon. This week, gas cost $3.20/gallon. What was in the
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Answers
Answer:
28%
Step-by-step explanation:
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Answer:
3x² -16x - 12
factored:
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Answer:
Step-by-step explanation:
cut each of the long boards in half. use a piece from each cut.. for one triangle and the other two pieces of each cute, for the next triangle. Place the longest board on the hypotenuse. then place the next board on one side of the triangle that is being made. line the ends up with each other ... so that the ends make the missing side form a right angle to the side board. Maybe the protractor would help here some. To find the 90° angle. Do the same with the other two pieces and the triangles will be congruent. b/c the Hypotenuses are the same length and one of the sides are also the same length. so then that makes them congruent triangles... hope that makes sense? :/
Answer:
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Step-by-step explanation:
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3/5 of the pupils in Year 9 say their favourite colour is red.
There are 80 pupils in Year 9.
How many students said red is their favourite colour?
Answers
Answer:
48
Step-by-step explanation:
Since 80 pupils is the total amount of pupils in Year 9...
5/5 = 80
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3/5 = 16 x 3 = 48 (The amount of pupils who said red is their favourite colour in Year 9)
Quincy was stuck inside during an afternoon rainstorm. He spent 202020 minutes reading books, 181818 minutes eating lunch, 121212 minutes watching TV, and 101010 minutes drawing. For every 101010 minutes Quincy was inside he spent 333 minutes \_\_\_\_____\_, \_, \_, \_.
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Answer:
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Step-by-step explanation:
woop
People use water to cook, clean, and drink every day. An estimate of 34.4
% of the water used each day is for. If a family uses 68.8 gallons of water a day for , how many gallons do they use every day?
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Answer:
12345678910 trust me it work when you impress the teacher
si un tren viaja a la velocidad de 350 km por hora ¿cuantos kilómetros recorrerá si tiene que llegar su destino en 5 horas?
Answers
Answer:
1,750 km
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Train speed = 350 km per hour
So, we can calculate the total distance covered by train in 5 hours by using following formula,
Distance covered in 5 hours = 5 × 350 km
= 1,750 km
Hence, the train will travel 1,750 km to reach its destination.
Hey guys I really need this answer asap (50 points) and branliest ty
Answers
Answer and Step-by-step explanation:
The answer is A. 67.5.
We are told the scale factor of a model train is 1 inch to 13.5 feet.
We multiply the 5 inch model car by 13.5 to get the car size.
5 times 13.5 is 67.5.
#teamtrees #PAW (Plant And Water)
Answer:
we have
1 inch :13.5ft
5in:=13.5×5=67.5ft
option A.67.5ft is a required answer.
Alice bought a car for £15000. After one year the car was worth 12% less.
Work out the new value of the car.
Answers
The new value of the car is £13200.
Answer:
13,200
Step-by-step explanation:
12% of 15,000 is $1,800. you would subtract 1,800 from the original price of the car. with an answer of 13,200.
What is the area of the square?
Answers
Answer: 16
Step-by-step explanation:
All you do is count the space in between 0 and 5 and then take that number and multiply it by itself.
Find the perimeter of the trapezoid
Answers
Answer:
1st slot: 12
2nd slot: 48
Step-by-step explanation:
Hope this helps!
An expression is given that has a value between 4.44.4 and 4.54.5, and where xx represents an integer. \sqrt{x}+\sqrt{x} x + x What is the value of xx?
Answers
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Given
[tex]\sqrt x + \sqrt x = (4.4,4.5)[/tex]
Required
Find x
When the result is 4.4, we have:
[tex]\sqrt x + \sqrt x = 4.4[/tex]
This gives:
[tex]2\sqrt x = 4.4[/tex]
Divide both sides by 2
[tex]\sqrt x = 2.2[/tex]
Square both sides
[tex]x = 2.2^2[/tex]
[tex]x = 4.84[/tex]
When the result is 4.5, we have:
[tex]\sqrt x + \sqrt x = 4.5[/tex]
[tex]2\sqrt x = 4.5\\[/tex]
Divide both sides by 2
[tex]\sqrt x = 2.25[/tex]
Square both sides
[tex]x = 2.25^2[/tex]
[tex]x = 5.0625[/tex]
So, the value of x is between 4.84 and 5.0625
i.e.
[tex]x = (4.84,5.0625)[/tex]
The only integer between the above interval is 5.
Hence:
[tex]x = 5[/tex]
help if u can plz ty
Answers
Explanation:
Plug in 9 for all your x’s
-3(9) + 3
Simplify and your answer is -24
Hope this helps ;)
Answer:
-24
Step-by-step explanation:
According to the Question ,
⇒ f(x) = -3x + 3 .
For finding the value at x = 9 , put x = 9 ,
⇒ f(9) = -3(9) + 3
⇒ f(9) = -27+3
⇒ f(9) = -24
Hence the value of f(9) is -24 .determine if the sequence is arithmetic or geometric and determine the common difference/ ratio in simplest form
3,12,21
Answers
Answer:
Hello ♡
The answer to your question is :
2,12,21 is an arithmetic sequence with a common difference of +9 between each of them .
Step-by-step explanation:
Good luck ^^
Hope this helps u ;)
P - 24 = 13 step explanation
Answers
Answer:
p = 37
Step-by-step explanation:
The most important step in beginning algebra is to get all the letters on one side and and all the numbers on the other. In This case it is only all the numbers that need to be transferred.
p - 24 + 24 = 13 + 24
p = 37
Express in simplest form:
-1(-x+6x + 1)-3
– 3x
Answers
Answer:
-5x - 4
Hope this helps!!! :)
Answer:
-8x-4. I hope that this helps kid
Find the length of x
Answers
A man travels 2 miles, turn left and travels 3 miles, turn left again and travel 6 miles. How far is he from the starting point?
Answers
Answer:
11
Step-by-step explanation:
2+3+6=11 miles
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Answers
Answer:
∠ PQR = 70°
Step-by-step explanation:
The tangent- tangent angle PQR is half the difference of the intercepted arcs.
minor arc PR = 360° - 250° = 110°
Then
∠ PQR = [tex]\frac{1}{2}[/tex] (250 - 110)° = [tex]\frac{1}{2}[/tex] × 140° = 70°
kyley buys a computer game for $38 she uses a coupon to receive 15% off off the price of the game after the coupon is deducted she must pay 6% sales tax what is the total cost?
Answers
Answer:
34.58$
Step-by-step explanation:
TO find the answer we must first find 1% of 38$, which would be .38. so now multiply by 15 and 15% of 38 is 5.7$ so now the cost is 32.3$. Now we find the 6% of sales tax. .38 x 6 = 2.28, now add it all together and you get 34.58$
(っ◔◡◔)っ ♥ Hope It Helps ♥
A general formula for a parabola is x2=4py. What is the value of p in the equation x2=12y? p=3 p=4 p=6 p=12
Answers
Answer:
p = 3
Step-by-step explanation:
The given equation of parabola
[tex]x^2 = 12y[/tex]
The standard parabola equation
[tex]x^2 = 4py[/tex]
Now, all we need to do is compare or equate the above two equations to find the value of p
[tex]4py =12y\\p =3[/tex]
Therefore, the value of p = 3 in the equation asked
Answer:
A general formula for a parabola is x2=4py.
What is the value of p in the equation x2=12y?
A) P=3
1. If Im of wire has mass of xg, what will
be the mass of 25m of the same wire?
Answers
Answer:
25xg
Step-by-step explanation:
if I am wrong tell me right away good luck.
Devonte is balancing his checking account. His account statement does not include a deposit of $107.00 that he
made on November 1st. What is Devonte's actual account balance?
Answers
Answer:
its $1,330.26 D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
How can you find the measure of the third angle of a triangle if the other two measures are known?
Answers
Explanation: hope this helps
you would add up both of the other two measures and then subtract that by 180 since all triangles add up to 180 degrees
HELP WITH THESE TWO PLEASE
Answers
Match the term on the right with its image or description on the left. (6 points)
1.
Circle A and a line segment connecting points B and C which are on the circle.
2.
Circle A and point B on the circle and line passes through point B only.
3.
a segment between the center of a circle and a point on the circle
4.
the distance around a circle
5.
the distance along a circle between two points on the circle
6.
Circle A and a line segment connecting points B and C which are on the circle.
a.
Secant
b.
Radius
c.
Circumference
d.
Chord
e.
Tangent
f.
Arc length
Answers
Answer:
See explanation
Step-by-step explanation:
Match the term on the right with its image or description on the left. (6 points)
check
1.
Circle A and a line segment connecting points B and C which are on the circle.
answer: Secant
2.
Circle A and point B on the circle and line passes through point B only.
answer: Tangent
3.
the distance along a circle between two points on the circle
Answer: Arc length
4.
the distance around a circle
Answer: Circumference
5.
a segment between the center of a circle and a point on the circle
Answer: Radius
6.
Circle A and a line segment connecting points B and C which are on the Answer:Chord
I just took the quiz and came back to help you!
Have a great day!!
The statements along with the blanks are given above.
What is a circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.
Given is the image or description and terms w.r.t a circle.
Circle A and a line segment connecting points B and C which are on the circle : Chord.Circle A and point B on the circle and line passes through point B only : Secant.A segment between the center of a circle and a point on the circle : Radius.The distance around a circle : Circumference.The distance along a circle between two points on the circle : Arc length.Therefore, the statements along with the blanks are given above.
To solve more questions on circles visit the link below-
brainly.com/question/1041084
#SPJ6
Isaiah's family took a road trip to Mount Rushmore. Isaiah slept for the last 290 miles of the trip. If the total length of the trip was 500 miles, what percentage of the total trip had they travelled when Isaiah fell asleep?
Answers
Answer:
58%
Step-by-step explanation:
We need to find what percent 290 is of 500.
percent = part/whole × 100%
percent = 290/500 × 100%
percent = 58%
Answer: 58%
Please help I have the answers I just need the work and steps pls!!!
Answers
Answer:
15 cubes can fit
Step-by-step explanation:
1/4 per cube. 1 1/4 cm long
5 cubes across.
3 cubes in height
5 across times 3 = 15
If f(x) = -2x2 + x-5, what is f(3)?
Answers
Answer:
f(3) = -20
Step-by-step explanation:
Replace each instance of x in 3^2x -9 =0 with 3:
f(x) = -2x2 + x-5 = f(x) = -2x^2 + x-5 (" ^ " represents "exponentiation")
f(3) = -2(3)^2 + 3 - 5
f(3) = - 18 - 2 = -20