The areas of the squares adjacent to two sides of a right triangle are shown below.
What is the area of the square adjacent to the third side of the triangle?
Answers
Answer:
[tex]85\:\mathrm{units^2}[/tex]
Step-by-step explanation:
All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.
All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.
Therefore, let [tex]h[/tex] be the side length of this largest square. Since the area of a square with side length [tex]s[/tex] is given by [tex]s^2[/tex], [tex]h^2[/tex] will represent the area of the square:
[tex]\sqrt{35}^2+\sqrt{50}^2=h^2=\boxed{85\:\mathrm{units^2}}[/tex]
Answer:
85
Step-by-step explanation:
We can use the Pythagorean theorem (a^2+b^2=c^2) to find the area of square adjacent to the third side.
Area of a square=side^2
So, we can substitute the areas of the squares that share side lengths with the triangle for a^2, b^2, and c^2 in the Pythagorean theorem.
For example, in the diagram above, the area of the square that shares a side with side length a is 35 square units. So, a^2=35.
Let's fill in the remaining values:
a^2 + b^2 = x^2
35+50-x^2
85=x^2
The area of the square adjacent to the third side of the triangle is 85 units^2.
Related Questions
True or False:
The value of y in the given equation is 18.
y + 17 = 36
True or false
Answers
Answer:
False ..... ....... . . .. ..
If g(x)= x+2/x-2 and h(x) = 4 - X, what is the value of (GoH)(-3)?
A.) 8/5
B.) 5/2
C.) 15/2
D.)18/5
Answers
Answer:
A. 8/5
Step-by-step explanation:
please be careful when typing the question. you made a mistake here (you wrote "x+2" instead of "x+1"). luckily you have provided also the screen shot.
the used symbolism of a composite function is nothing else than asking for
g(h(x)) for x=-3.
so, first we need to calculate h(-3) = 4 - -3 = 7
then we take that result as argument for g : g(7) = 8/5
so, altogether
g(h(-3)) = g(7) = 8/5
we can do this generically for x by substituting x in g by the expression of h
g(h(x)) = ((4-x) + 1) / ((4-x) - 2) = (5-x)/(2-x)
for x = -3 this gives (5- -3)/(2- -3) = 8/5
The value of the composite function (g o h) (-3) is 9/5.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
First, we need to find the composition g o h, which means we need to substitute h(x) into g(x), so that:
(g o h)(x)
= g(h(x))
= g(4 - x)
= [(4 - x) + 2] / [(4 - x) - 2]
= (6 - x) / (2 - x)
Now, we can find (g o h)(-3) by substituting x = -3 into the expression above, which gives:
(g o h)(-3)
= (6 - (-3)) / (2 - (-3))
= 9 / 5
Therefore,
The value of (g o h)(-3) is 9/5.
Learn more about functions here:
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The water level at Lake Willow
was -14 feet. After 3 days of rain,
the water level rose by 23 feet.
What is the water level after the
rain?
+
Answers
Answer:
9ft
Step-by-step explanation:
-14 + 23 = 9
Find two integers whose sum is 5 and product is -66 TWO INTEGRES
NOT 1 TWO
Answers
Answer:
-6 and 11
Step-by-step explanation:
The only factors of 66 are 11, 6, 2 and 3
11*6 is the only pair whose product is 66
The difference betwen 11 and 6 is 5
11 must be positive and 6 negative since the sum is positve
Find the greatest common factor of 15y^4 and 14y^2
Answers
Answer:
y^2
Step-by-step explanation:
Here, we want to get the greatest common factor
Looking at the two, 14 and 15 has no common factors
So, we shift focus to the y raised
We have this as ;
y^2( 15y^2 + 14)
Thus, y^2 is the common factor
Answer my question its urgent
Answers
Answer:
Step-by-step explanation:
Hope this helps u!!
2x-1/4 + x/3 = 2
Solve the equation
Answers
Answer:
below
Step-by-step explanation:
steps are shown above
find the sum of (2x-12) from x=7 to x=16
Answers
Answer:
it's 2 obviously
Step-by-step explanation:
thanks
In ▵ABC, if m∠A=80 degree, then m∠c cannot be
A) 80 degree
B) 90 degree
C) 95 degree
D) 105 degree
Answers
Answer:
95
Step-by-step explanation:
jdisusyhsyysysyydyydyyddhdhhdhhdhhd random
can someone please help!! 30 POINTS!!
Answers
Answer:
y = 5
Step-by-step explanation:
| x | means absolute value. That is number itself ( without the negative sign)
y = |x| - 6
y = | -11 | - 6
y = 11 - 6 = 5
Rearrange the following numbers in order from least to greatest.
2, -7, 3, -9, -14, -8, 0, -10, -25
will mark the best answer or 1st answered brainliest or whatever
Answers
Answer:
-25, -14, -10, -9, -8, -7, 0, 2
Step-by-step explanation:
You do thing and it work
Need to choose answers
Answers
Answer:
Box Number 3.
Step-by-step explanation:
4 is a coefficient in 4x because 4x is really 4*x which has 4 multiplying x. This is the same as 4 working with x. Also none of the other answers are true.
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answers
Answer: 3 7/12
Step-by-step explanation:
1. Solving the whole number
4-1=3
2. Solving the fraction parts
3/4 - 1/6=
Find the LCM. The LCM is 12 so we rewrite the factions like this:
9/12-2/12=7/12
3. Add.
3+ 7/12= 3 7/12
Hey there!
4 3/4 - 1 1/6
= 19/4 - 7/6
= (19 × 6) - (7 × 4) / 4 × 6
19 × 6 = 114
7 × 4 = 28
= 114 - 28 / 4 × 6
4 × 6 = 24
114 - 28 / 24
114 - 28 = 86
= 86/24
= 3 7/12
Answer: 86/24 OR 3 7/12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
answer as soon as possible
Answers
Answer:
a). 840 b). 14
Step-by-step explanation:
a). 840 miles
350 miles ÷ 25 gallons = 14
14 (miles per gallon) x 60 gallons of gas = 840
b). 14
(first step of the first answer)
350 miles ÷ 25 gallons = 14 miles per gallon
hope this helped!
a) 840 miles can go for 60 gallons of gas.
b) The mileage is 14 miles per gallon.
Here, we have,
given that,
A new truck can travel 350 miles on 25 gallons of gas.
now, we have,
a). we get,
the milage of the truck is:
350 miles ÷ 25 gallons = 14
so, we get,
for 60 gallons of gas it can go:
14 (miles per gallon) x 60 gallons of gas = 840
so, 840 miles can go for 60 gallons of gas.
b). and, again we have,
the milage of the truck is:
(first step of the first answer)
350 miles ÷ 25 gallons = 14 miles per gallon
so, The mileage is 14 miles per gallon.
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Find the value of A
Answers
Answer:
a = 5
Step-by-step explanation:
Angles A and B are the same at 45, a and b are also the same
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
sin(A)/a = sin(B)/b = sin(C)/c
Substitute the known values into the law of sines to find a.
SinA / a = sin(90) / 5√2
a = 5
Find the common difference of the arithmetic sequence.
0, 0.4, 0.8, 1.2, . . .
Answers
0 - 0.4 - 0.8 - 1.2 - 1.6 - 2.0 - 2.4 - 2.8 - 3.2 etc.
5.
Peter earns $9 each hour for the first 40 hours he works each week. For every hour he
works after 40 hours, he earns $12 each hour. Last week Peter earned $444.
Which equation could be used to find the number of hours, h, during which Peter
earned $12 last week?
A. (40 x 9) + h = 444
B. (40 x 9) - h = 444
C. (40 x 9) + 12h = 444
D. (40 x 9) - 12h = 444
Answers
444-360 = 84
84 /12= 7
The answer is C
how would i graph -2≤x<4
Answers
Answer:
Step-by-step explanation:
Like that on the graph but on the x axis
Answer:
I hope this helps!
Step-by-step explanation:
How many isosceles triangles in this pentagon?
Answers
Answer:
6 triangles
i am not very sure thou
change 45' into seconds.
Answers
Answer:
2700 seconds
Step-by-step explanation:
The notation " ' " is said as "minutes".
° = degrees; ' = minutes; " = seconds
45 minutes
1 minute = 60 seconds
1*45=60*45
45 minutes = 2700 seconds
what is the slop of the line?
slope = 1/3
slope = -3
slope = 3
Answers
Answer: slope = 3
Step-by-step explanation:
We can see from the point intersecting the y axis (y-intercept) to the point (1, 1) it goes up 3 and right 1 giving us the slope [tex]\frac{3}{1}[/tex] simplified to 3
Select the correct answer.
Simplify the expression 53 × 5-5.
Answers
The circumference of a circle is 32 centimeters. Find the radius of this circle.
a. about 201.06 cm c. about 5.09 cm
b. about 100.53 cm d. about 10.19 cm
Answers
Answer:
r≈5.09cm
Step-by-step explanation:
Help please ASAP ASAP
Answers
Answer:
-1/12
Step-by-step explanation:
The slopes of perpendicular lines are equivalent to -1.
Answer:
-1/4
Step-by-step explanation:
Subtract 12x from both sides to get -3y=-12x+81
Divide both sides by -3 to get y=4x-27
Take the negative reciprocal of 4, which is -1/4
What is the value of x? Round the answer to the nearest tenth
Answers
Answer:
The answer is A.
Step-by-step explanation:
The answer is A because an obtuse angle rounds to 120 degrees, then you divide it by 6 which is A.
Find the measure of CDE. The measure of CDE equals a certain # of degrees.
Answers
2x-13+3x-8+2x-3+2x-7+3x-1+2x+11+2x+9= (7-2)×180
16x-12=(7-2)×180
(7-2)×180 Work this out on a calculator
And then that answer=16x-12
Then you solve by adding 12 both sides and dividing by 16 both sides to get what x is.
b) Write down the formula to find the perimeter of a circle.
Answers
Answer:
C = 2πr
Step-by-step explanation:
We know that, the perimeter of a figure is equal to the sum of all sides.
A circle having no sides.
The perimeter of a circle = The circumference of the circle
The formula for the circumference of the circle is given by :
C = 2πr
Where
r is the radius of the circle
Hence, this is the required solution.
Pls help.
Thank You So Much if you did!
Answers
Answer:
1 a) 124
Step-by-step explanation:
x +1 /5 =25
x +1 =25*5
x+ 1=125
x = 125-1
x=124
Which of the following tables represents a function?
Answers
Answer:
The last one
Step-by-step explanation:
Which expression(s) are equivalent to the given expression?
6x−18y+36
2(3x−9y+18) 2 times open paren 3 x minus 9 y plus 18 close paren
3(2x−6y+12) 3 times open paren 2 x minus 6 y plus 12 close paren
4(2x−14y+32) 4 times open paren 2 x minus 14 y plus 32 close paren
6(x−3y+36) 6 times open paren x minus 3 y plus 36 close paren
9(6x−2y+4)
Answers
Answer:
2 ( 3x - 9y + 18)
3 ( 3x - 6y + 12)
Inclusively:
6 ( x - 3y + 6)