Since triangle 2 is a right triangle, write an equation applying the Pythagorean Theorem to the triangle.
Answers
Answer: a^+b^2=n^2
Step-by-step explanation:
The equation for triangle 2 will be: a² + b² = n².
What is Pythagorean theorem?
Pythagorean theorem states that for a right-angle triangle, the sum of the squares of the base and the height is equal to the square of the hypotenuse of that triangle.
Here, the angle between side: a and side: b is a right-angle.
Therefore, we can consider side: a as the height and side: b as the base of the triangle.
Therefore we can write as per the Pythagorean theorem:
(Base)² + (Height)² = (Hypotenuse)²
Hence, a² + b² = n²
Learn more about Pythagorean theorem here: https://brainly.com/question/23936129
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Related Questions
Solve x2 + 8x = 24.
Answers
Answer:
-10.3 and 2.3
Step-by-step explanation:
use quadratic formula:
-8 ± √8²-4(-24) ÷ 2
= -8 ±√64+96 ÷ 2
= -8 ± √160 ÷ 2
= -8 + 4√10 / 2 and
-8 - 4√10 / 2
which is the same as -4 + 2√10 and -4 + 2√10
which is the same as -10.3 and 2.3
can sombody help me plz i got 5 min left
Answers
Answer:
$46.25 ÷ $9
Step-by-step explanation:
someone please help!!!
Answers
Answer:
A = x² + 11x + 30
Step-by-step explanation:
For a given rectangle
Length (l) = x + 5
Breadth (b) = x + 6
Now,
Area of rectangle
A = l × b
= (x + 5) × (x + 6)
= x² + 6x + 5x + 30
A = x² + 11x + 30
Thus, The area of rectangle in the form of polynomial is
x² + 11x + 30
-TheUnknownScientist
X 52° Find the unknown angle measure
Answers
Answer:
38 degrees
Step-by-step explanation:
The perimeter of one square is given as 4x. Its perimeter is equal to the perimeter of a rectangle given as 2.5x + 3.75. Write an equation to determine the perimeter of each figure
Answers
Answer:
5
Step-by-step explanation:
it would be 5. x is 5 so if it is wrong sorry its best e a while since i done that kind of math
The diameter of a circle is 10 m. Find its area to the nearest tenth.
Answers
Answer:
78.5
Step-by-step explanation:
A=pi x r^2
A= 3.14 x 5 x 5
A=78.5
The areas of two similar squares are 16m2 and 49m2 what is the scale factor of their side lengths
Answers
Given:
The areas of two similar squares are 16m² and 49m².
To find:
The scale factor of their side lengths.
Solution:
We know that the ratio of the areas of the similar squares is proportional to the ratio of square of there sides.
[tex]\dfrac{\text{Area of first square}}{\text{Area of second square}}=\dfrac{(\text{Side length of first square})^2}{(\text{Side length of second square})^2}[/tex]
[tex]\dfrac{16\ m^2}{49\ m^2}=\dfrac{s_1^2}{s_2^2}[/tex]
[tex]\dfrac{4^2}{7^2}=\left(\dfrac{s_1}{s_2}\right)^2[/tex]
[tex]\left(\dfrac{4}{7}\right)^2=\left(\dfrac{s_1}{s_2}\right)^2[/tex]
Taking square root on both sides, we get
[tex]\dfrac{4}{7}=\dfrac{s_1}{s_2}[/tex]
[tex]\dfrac{s_1}{s_2}=\dfrac{4}{7}[/tex]
Now, the scale factor is the ratio of side length of second square to the side length of first square.
[tex]k=\dfrac{s_2}{s_1}[/tex]
[tex]k=\dfrac{7}{4}[/tex]
Therefore, the scale factor of their side lengths is [tex]k=\dfrac{7}{4}[/tex].
Answer: 4/7 is the right answer on Acellus
Step-by-step explanation:
I’m really struggling here :,D
Answers
Answer:
-2
Step-by-step explanation:
last question (arc length and area) thanks!!!
Answers
Answer:
[tex]m\angle ABC=60\textdegree[/tex]
Step-by-step explanation:
[tex]m\angle ABC=360-90-90-m\angle AOC\\=180-120\\=60\textdegree[/tex]
a parallelogram has one angle that measures 40 what are the measures of the other three angles in the parallelogram
Answers
Answer:
40°, 140°, and 140°
Step-by-step explanation:
The fourth term in an arithmetic sequence is 18 and the seventh term is 39. If the first term is a1 , which is an equation for the nth term of this sequence?
Answers
Answer:
aₙ = 7n - 10Step-by-step explanation:
The nth term: [tex]a_n=a_1+d(n-1)[/tex]
So:
a₄ = a₁ + 3d
18 = a₁ + 3d ⇒ 3d = 18 - a₁
a₇ = a₁ + 6d
39 = a₁ + 6d
39 = a₁ + 2(18 - a₁)
39 = a₁ + 36 - 2a₁
39 = 36 - a₁
a₁ = -3
3d = 18 - (-3)
3d = 21
d = 7
So the nth term:
[tex]a_n = -3 + 7(n-1)\\\\a_n=-3 +7n - 7\\\\a_n = 7n - 10[/tex]
Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81
Answers
Answer:
converge
Step-by-step explanation:
The ratio that you multiply by to get the next term is 2/3, which is less than 1, so the geometric series converges by the Geometric Series Test.
Answer:
Converge
Step-by-step explanation:
The value of r in this infinite series is 2/3.
If the absolute value of r is less than 1, then the infinite series converges.
Since 2/3 is less than 1, the series must converge.
Find all the zeroes of the polynomial x^4 − 3x^3 + 6x − 4 , if two of its zeroes are √2 and −√2 . Thanks
Answers
Answer:
x=1 and x=2
Step-by-step explanation:
FIrst, continiuously apply syntheic divison to break it down into a quadratic.
Then, factor that quadratic.
Your zeores would be 1 and 2
PLEASE HELP IM STRESSED I CANT THANK YOU :)
Answers
Answer:
125
Step-by-step explanation:
In ΔPTO we are given that
∠PTO = 90° (indicated by the right angle)
and ∠TPO = 35°
And we need to find the exterior angle (∠TOB)
If you didn't know this is the rule about exterior angles
Exterior angles of a triangle are equal to the sum of the opposite interior angles of a triangle
So more specifically for this problem
∠TOB = ∠PTO + ∠TPO
Now that we have created an equation we want to plug in the values that we are given
∠TOB = 90 + 35
90 + 35 = 125
Therefore the answer is 125
Which of the following is always true about lines of symmetry?
A line of symmetry divides a shape into two equal parts.
A line of symmetry is a vertical line through the middle of a figure.
A figure can have only one line of symmetry.
A line of symmetry goes through opposite vertices of a figure.
Answers
PLEASE HELP!!!!
Robert is baking desserts for a picnic. He needs to make at least 20 servings of dessert for the
event. For every batch of brownies he bakes, he will get 8 servings, and every pie will
yield 14 servings.
Answers
Answer:
x*8 + y*14 ≥ 20
Step-by-step explanation:
We know that:
A batch of brownies makes 8 servings.
A pie makes 14 servings.
He wants to make, at least, 20 servings.
Then if he makes x batches of brownies, he will get x times 8 servings.
If he makes y pies, he will get y times 14 servings.
Adding that, he will get a total of:
x*8 + y*14 servings
And because he wants to make at least 20 servings (he can make 20 or more)
The inequality will be:
x*8 + y*14 ≥ 20
Where the "≥" symbol means that the expression at the left is greater than or equal to the expression of the right
Can someone please help me on this problem?
Answers
Answer:
$5820.10
Step-by-step explanation:
formula: [tex]117\sqrt[3]{n^{2} }+1264[/tex]
n = 243
[tex]117\sqrt[3]{243^{2} }+1264[/tex] = 117(38.941)+ 1264
= 4556.097 + 1264
= 5820.10
plz help plz help its not a lot
Answers
Answer:
Option A) 7 inches
Step-by-step explanation:
t=0
so d= -0.5(0)+7
so d= 7 inches
hope it helps
have a great day!!
these are all of the OC's i have made so fare what do you guys think
Answers
Answer:
Step-by-step explanation:
nice i like them
Can someone plz help with this problem??
Answers
Answer:
17,2
Step-by-step explanation:
X = 21×cos35° = 21 × 0,82 = 17,20
Which algebraic expressions are binomials? Check all that apply. xy x2y – 3x 6y2 – y y2 + 4xy – x2 +
Answers
Answer:
4xy are binomials because it only had one term
Answer:
the answers are B, C, E
Step-by-step explanation:
x2y – 3x
6y2 – y
4xy – two-fifths
Calculate the side lengths a and b to two decimal places.
O A. a = 2.55 and b = 2.43
O B. a = 15.09 and b = 15.81
O c. a = 2.43 and b = 2.55
O D. a = 15.09 and b = 16.75
E. a = 15.81 and b = 15..09
Answers
Answer:
b
Step-by-step explanation:
What two numbers have a product of -22 and a sum of -9?
Answers
Any help, please!
I dont understand
Answers
The mean is 80, the standard deviation is 5. What number is 2.5 standard deviations above the mean? It is a normal distribtion.
Answers
Answer:
So the final answers would be (90 > z)-P(80<z) = .47725 or 47.725%
Step-by-step explanation:
PLEASE HELP ME I WILL BRAINLIST YOU
Answers
Answer:
Pentagonal Prism
Step-by-step explanation:
It has 5 sides and a pentagon has 5 sides
Answer:
pentagonal prism
Step-by-step explanation
a pentagon is a 5 sided shape, and a prism just gives it a height, so the answer is 3
brainliest please :) its fine if you don't give me brainliest tho :p
pls help me answer this and if you don't know, pls don't answer.
Answers
Answer:
Step-by-step explanation:
After eight games the team has won two games lost five and tied one if there season is 24 games how many games will they win at this rate
Answers
Answer:
Since the games in total add up to 8, we see that 8 is a factor of 24. It goes in 3 times. Therefore, we have to multiply everything by 3 to get the answer out of 24. There will be 6 wins, 15 losses and 3 tie. That adds up to 24.
Please help!! I'll give brianlist!!! which points are reflections of each other across both access?
Answers
Answer:
(5,-6) and (-5,-6) is the correct answer
Step-by-step explanation:
Eliminate incorrect answers
(-2,8)and (2,-8) are in the opposite direction not mirroring each other
(-7,-1) and (-7,1) are on the same x axis but to close to the y axis not mirroring
(4,-3) and (-3,4) is completely off and not mirroring
* Remember the first number in the parentheses moved on the x axis then the y
Hope this helps =)
plz mark Brainly
What is the percent change? Original cost is $15 and the new cost is $70.
Answers
Answer:
467 percent
Step-by-step explanation:
Answer:
366.67% increase
Step-by-step explanation: