Answer:
28
Step-by-step explanation:
21^2+28^2=35^2
The third number of the Pythagorean triplet as c = 40.82.
What is Pythagorean triplet? What is a mathematical function, equation and expression? Pythagorean triplet : A Pythagorean triplet consists of three positive integers a, b, and c, such that a² + b² = c².function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that 21 and 35 are two members of a Pythagorean triplet.
We can write the Pythagorean triplet as -
a² + b² = c²
c² = a² + b²
c² = (21 x 21) + (35 x 35)
c² = 441 + 1225
c² = 1666
c = √1666
c = 40.82
Therefore, the third number of the Pythagorean triplet as c = 40.82.
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How would four billion, nineteen million, three hundred thirty-seven thousand, two be written in standard form?
can someone please help with math?!
Tell whether the ordered pair is a solution to the equation.
(4, 4); y = -x + 8
Answer:
Yes, it is.
Step-by-step explanation:
(4) = -(4)+8
4=4
True
a triangle with side 9,10and 11 has the same perimeter as a square with sides of length
Answer:
7.5.
Step-by-step explanation:
A square has 4 equal sides so:
4x = 9 + 10 + 11 where x is the length of one side of the square.
4x = 30
x = 7.5.
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Complete the pairs of corresponding parts if △RST ≅ △TXY.
∠S =
∠ TXY
∠ XTY
∠ XYT
Complete the pairs of corresponding parts if △RST ≅ △TXY.
∠STR =
∠ XYT
∠ TXY
∠ XTY
Complete the pairs of corresponding parts if △RST ≅ △TXY.
RS =
TX
XY
TY
Complete the pairs of corresponding parts if △RST ≅ △TXY.
ST =
TY
XY
TX
Complete the pairs of corresponding parts if △RST ≅ △TXY.
RT =
TX
XY
TY
Complete the pairs of corresponding parts if △ABD ≅ △EFC.
∠A =
∠ FCE
∠ FEC
∠ EFC
Why is ▲MAE ≅ ▲TON?
HL
HA
LL
All of the following are ways to prove triangles congruent except
SAS
SSA
ASA
SSS
Answer:
Step-by-step explanation:
△ RST ≅ △ TXY
We are given ΔRST and ΔTXY are congruent to each other.
If two triangles are congruent to each other then their corresponding parts are equal.
Please see the attachment of two triangles.
∠R is corresponding to ∠T
∵ ∠R=∠T By CPCT
∠XYT is corresponding to ∠STR
∵ ∠XYT=∠STR By CPCT
∠XTY is corresponding to ∠SRT.
∵ ∠XTY=∠SRT By CPCT
∠TXY is corresponding to ∠RST
∵ ∠TXY=∠RST By CPCT
CPCT: Congruent part of congruence triangle.
What is the equation of the line with a y-intercept of -10 and a slope of 7?
Answer:
do it got a picture
Step-by-step explanation:
Solve for x.
1/3 x+4=-2/3 x+12
Answer:
x = 8
Step-by-step explanation:
1. Group all x terms on the left side of the equation
1/3· x+4=-2/3·x+12
Add 2/3x to both sides:
1/3x+4+2/3·x=-2/3x+12+2/3·x
Group like terms:
1/3·x+2/3·x+4=-2/3·x+12+2/3·x
Combine the fractions:
1+2/3·x+4=-2/3·x+12+2/3·x
Combine the numerators:
3/3·x+4=-2/3·x+12+2/3·x
Find the greatest common factor of the numerator and denominator:
1·3/1·3·x+4=-2/3·x+12+2/3·x
Factor out and cancel the greatest common factor:
1x+4=-2/3·x+12+2/3·x
Simplify the left side:
x+4=-2/3·x+12+2/3·x
Group like terms:
x+4=-2/3·x+2/3·x+12
Combine the fractions:
x+4=-2+2/3·x+12
Combine the numerators:
x+4=0/3·x+12
Reduce the zero numerator:
x+4=0x+12
Simplify the arithmetic:
x+4=12
2. Group all constants on the right side of the equation
Subtract 4 from both sides:
x+4-4=12-4
Simplify the arithmetic:
x=12-4
Simplify the arithmetic:
x=8
Answer:
x=8
Step-by-step explanation:
1/3x +4= -2/3 +12
Subtract 4 from both sides: 1/3x + 4-4 = -2/3x + 12 -4
Simplify: 1/3x = 2/3x + 8
Add 2/3x to both sides: 1/3x + 2/3x = -2/3x + 8 + 2/3x
Simplify: x=8
Angle C is 60 degrees and angle CAB is 78 we need to find angle DAB
Answer:
∠ DAB = 48°
Step-by-step explanation:
The sum of the 3 angles in Δ ACD = 180° , then
∠ CAD + 60° + 90° = 180° , that is
∠ CAD + 150° = 180° ( subtract 150° from both sides )
∠ CAD = 30°
Then
∠ DAB + ∠ CAD = ∠ CAB
∠ DAB + 30° = 78° ( subtract 30° from both sides )
∠ DAB = 48°
d) | Is side-side-angle a congruence rule? Is angle-side-side
a congruence rule? Explain.
Answer:
Look at step-by-step explanation
Step-by-step explanation:
Side-side-angle is not a congruence rule because a side cannot be in between an angle and a side. Angle-side-side is the same thing, a side cannot be in between an angle and a side.
will mark brainliest
Answer:
K (-1,-1)
Step-by-step explanation:
How do I solve this?
Answer: A: 3x^2y^(3/2)
Step-by-step explanation:
This can be written as
(81*x^8*y^6)^(1/4)
Then multiply each exponent by (1/4):
81^(1/4)*x^(8(1/4))y^6(1/4))
81^(1/4) = 3
x^(8(1/4)) = x^2
y^6(1/4)) = y^(3/2)
The result: 3x^2y^(3/2)
Find the equation of the line with slope of 2 passing through (3,1)
please
PLEASE HELP whoever answers all of them and first i’m giving brainliest.
Answer:
1. To solve a one-variable equation, it may be necessary to first multiply by using the Distributive Property
2. The next step is to combine like terms as needed.
3. Then solve for the variable by applying inverse operations.
4. If solving lead to a true equation, then the equation has infinitely many solutions.
5. if solving leads to an untrue equation, then the equation has no solution.
for everyone who answers this happy points
Answer:
im just answering because im doing a challenge.
Step-by-step explanation:
Find the area of the figure.
[tex]\huge \bf༆ Answer ༄[/tex]
At first Divide the figure into two rectangles, I and Il
Area of figure l is ~
[tex] \sf24 \times (40 - 30)[/tex][tex] \sf24 \times 10[/tex][tex] \sf240 \: \: ft {}^{2} [/tex]Area of figure ll is ~
[tex] \sf 18 \times 30[/tex][tex] \sf540 \: ft{}^{2} [/tex]Area of whole figure = Area ( l + ll )
that is equal to ~
[tex] \sf240 + 540[/tex][tex] \sf780 \: \: ft{}^{2} [/tex]Please answer this question with step by step method.
Answer:
x = 3/2 or 1.5
Step-by-step explanation:
(9(4x-1))/2x = 15
simplify the 9(4x-1) = 36x-9
(36x-9)/2x = 15
multiply both sides by 2x to take out the fraction
36x-9 = 15(2x)
36x-9 = 30x
subtract by 30x on both sides, and add 9 on both sides
36x-9-30x = 0
36x-30x = 9
6x = 9
x = 9/6 = 3/2 or 1.5
Hello!! can you please help me? I've been trying to answer this question for a while now, but I cant seem to figure it out. (9th grade Geometry).
What is the degree measure of the angle formed by the hands of a clock at 7:30 PM?
HELP PLEASE
Use the value of the discriminant to determine the number and type of roots for the equation,
X^2 = 4x - 4
A. 2 real, irrational roots
B. 1 real, rational root
C. 2 complex roots
D. 2 real, rational roots
We are given –
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² = 4x -4[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² -4x +4 = 0[/tex]
Where, a = 1 ; b = -4 ; c = 4Let's find it's discriminant.
We know –
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf Discriminant = b² - 4ac}[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = (-4)² - 4 \times 1 \times 4[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = 16-16[/tex]
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\sf Discriminant =0 }[/tex]
If Δ (Discriminant) >0here are two separate real roots.If Δ (Discriminant) =0, there are two identical real roots.If Δ (Discriminant) <0, there are no real roots, but there are two complex roots.As we got –
Δ Discriminant is 0 that means , there are two identical real roots. Henceforth, Option (D) 2 real, rational roots – is correct.Jennie has $200 and spends $30. What percent did Jennie spend?
Answer:
30$ is 15% of 200$
Step-by-step explanation:
To find how much percent Jennie spent let's first find how much one percent of $200 is.
∴200/100=2
so one percent of 200 is 2
now let's find how much percent 30$ is of 200$
∴30/2=15
meaning that 30$ is 15% of 200$
maths question algebra
Answer:
x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]
Step-by-step explanation:
5x² - 3y = 4y + 8 ( add 3y to both sides )
5x² = 7y + 8 ( divide both sides by 5 )
x² = [tex]\frac{7y+8}{5}[/tex] ( take square root of both sides )
x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]
Brittany is a scientist.She is recording the number of cells in a dish.After each hour,the cell divides into four cells.The sequence shown represents the growth of the cells. 1,4,16,64,256,. . . Which explicit formula represents this situation
Answer:
4^n-1
Step-by-step explanation:
So given sequence is a geometric sequence where terms increase or decrease by a constant common ratio(r)
Formula to find terms in Geometric sequence is " ar^n-1 where a is first term , r is common ratio and n is number of items
In this case , first term (a) is 1 , common ratio(r) is succeeding term/preceding term = 4/1 = 4 and number of items be (n).
Applying "ar^n-1 " we get,
1*4^n-1 which is , 4^n-1
Thats the formula which represents the situation....
The oblique prism below has an isosceles right triangle base.
An oblique right triangular prism is shown. The triangular bases have 2 sides with a length of x. The length of they hypotenuse is unknown. The distance from the 2 triangular bases is (x + 3). The vertical height of the prism is (x + 2).
What expression represents the volume of the prism, in cubic units?
One-halfx3 + x2
One-halfx3 + Three-halves x2
x3 + x2
x3 + 3x2
The volume of the prism, in cubic units is 1/2x³ + x²
The volume of the oblique prism is given as:
V = Base area * Height
Given the following
Height = x + 2Base area = area of the triangleBase area = 1/2 (x*x)
Base area = 1/2 x²
Get the volume of the prism;
Volume of the prism = 1/2(x²)(x+2)
Volume of the prism = 1/2(x³+2x²)
Volume of the prism = 1/2x³ + 1/2(2x²)
Volume of the prism = 1/2x³ + x²
Hence the volume of the prism, in cubic units is 1/2x³ + x²
Learn more on the volume of prism here: https://brainly.com/question/23963432
Answer:
1/2x³ + x²
Step-by-step explanation:
edg
geometry - please help
solve for x & y
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.
The round off value of 38.23 to the nearest whole number is?
Answer:
38
Step-by-step explanation:
38.23 is closest to 28, because neither the .2 or .03 is high enough to round the last whole number up
Answer:
Rounding 38.23 to the nearest whole number would be 38
Step-by-step explanation:
Rounding 38.23 to the nearest whole number would be 38 because the extra 0.23 is less than 0.50
If it was 0.50, the answer would go up to 39.
i need help no links
Which statement is not used to prove that triangle ABC is similar to triangle ADC?
Answer:
what are the statements we pick from?
Step-by-step explanation:
most likely look out for angles and lengths that go against the established ratio
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A 14 cm cube is built from small cubes, each 2 cm on an edge. Compare the edge lengths of the two cubes.
9:1
7:1
8:1
10:1
Answer:
7:1
Step-by-step explanation:
What does R represent?
A. a line segment
B. a point
C. a line
D. a rat
Answer:
B
Step-by-step explanation:
What time is three to one in the morning