Answer: 30
Step-by-step explanation:
Just did it
The perimeter of the given right triangle with hypotenuse 13 and base 5 is 30 units.
What is the Pythagoras theorem?
The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
We are given that;
hypotenuse=13, base=5
Now,
If the hypotenuse of a right triangle is 13 and one of the legs (also called the base) is 5, we can use the Pythagorean theorem to find the length of the other leg:
a^2 + b^2 = c^2
where a and b are the legs of the right triangle and c is the hypotenuse.
Substituting the given values, we get:
5^2 + b^2 = 13^2
Simplifying:
25 + b^2 = 169
b^2 = 144
b = 12
So, the length of the other leg is 12.
Now we can find the perimeter of the right triangle:
Perimeter = a + b + c
where a and b are the legs and c is the hypotenuse.
Substituting the given values, we get:
Perimeter = 5 + 12 + 13
Perimeter = 30
Therefore, by using pythagoras theorem the answer will be 30
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suppose that 951 tennis players want to play an elimination tournament. that means: they pair up, at random, for each round; if the number of players before the round begins is odd, one of them, chosen at random, sits out that round. the winners of each round, and the odd one who sat it out (if there was an odd one), play in the next round, till, finally, there is only one winner, the champion. what is the total number of matches to be played altogether, in all the rounds of the tournament?
The total number of matches played in the tournament will be the sum of all of these matches:
475 + 220 + 92 + 40 + 18 + 8 + 4 + 2 + 1 + 1 = 861
To determine the total number of matches to be played in the tournament, we need to first determine the number of rounds that will be played. Since each round eliminates half of the remaining players, we need to find the power of 2 that is closest to, but less than, the total number of players (951).
2^9 = 512 (too small)
2^10 = 1024 (too big)
2^8 = 256 (too small)
2^7 = 128 (too small)
2^6 = 64 (too small)
2^5 = 32 (too small)
Therefore, we can conclude that there will be 2^9 = 512 players in the first round, leaving 439 players. One player will be sitting out, since the number of players is odd. In the second round, there will be 2^8 = 256 matches played, with the 439 remaining players and the one player who sat out in the first round. This will leave 184 players for the third round, with one player sitting out again.
Continuing this pattern, we can determine that there will be 10 rounds in total, with the following number of matches played in each round:
Round 1: 475
Round 2: 220
Round 3: 92
Round 4: 40
Round 5: 18
Round 6: 8
Round 7: 4
Round 8: 2
Round 9: 1
Round 10: 1
The total number of matches played in the tournament will be the sum of all of these matches:
475 + 220 + 92 + 40 + 18 + 8 + 4 + 2 + 1 + 1 = 861
Therefore, there will be a total of 861 matches played in all the rounds of the tournament.
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Y>-3x-5 in linear inequality
Answer:
5>Bx-15 go on calculator if dont correct
Step-by-step explanation:
i hope it helps
2/5 in Fraction form?
Answer:
2/5 is fraction form.
0.4 is decimal form btw.
How do you find a linear slope on a table chart? -3 -8 0 -1 3 6 6 13
Answer:
Look at the x values.
Step-by-step explanation:
On the table chart, look at the x values. If there is the same number for different points, it is not a linear slope. However, if all of the x values are different, then it is a linear slope.
-) Colin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win
more than 200 points. He wants to know how many gold coins he needs to find.
) Let g be the number of gold coins Colin finds. Which inequality represents the situation?
259 > 200
259 > 200
25 +9 > 200
25+ 9 > 200
Answer:
A
Step-by-step explanation:
25g>200
so A
if my answer helps please mark as brainliest.
which expression is equivalent to f(x)=3x+2
Find the volume. Image is below
gasoline is stored in a cylindrical container that has a diameter of 13.8 meters and a height of 4.7 meters. which is closest to the amount of plastic needed to cover the entire container?
Answer:
V = 702.984763 m³
Step-by-step explanation:
radius r = 6.9 m
height h = 4.7 m
volume V = 702.984763 m³
lateral surface area L = 203.7637 m²
top surface area T = 149.571226 m²
base surface area B = 149.571226 m²
total surface area A = 502.906152 m²
In Terms of Pi π
volume V = 223.767 π m³
lateral surface area L = 64.86 π m²
top surface area T = 47.61 π m²
base surface area B = 47.61 π m²
total surface area A = 160.08 π m²
Agenda:
r = radius = diameter/2
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
Formula: Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr²h
Calculate the lateral surface area of a cylinder (just the curved outside):
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)
Question Answer O A True O B False Question Answer O A True O B False Question Answer OA O B True False Using logarithmic differentiation we obtain that the derivative of the function y = x2x² satisfies the equation y = 4x log x + 2x. y Using logarithmic differentiation we obtain that the derivative of the function (1+x²)2 (1 + sin x)² y= 1-x² satisfies the equation 4x 2cos x 2x -= + y 1 + x² 1 + sin x 1-x² Given two complex numbers z=3-1 and w=3+ the product z2w equals 30-10%. Y'
In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.
In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.
In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².
In the third question, the product z²w is calculated correctly as 30-10%.
It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.
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What are the first 3 consecutive odd numbers?
The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.
Consecutive numbers are those that always appear in the same order, from smallest to largest.
For instance:
The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.
consecutive odd numbers:
Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."
Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.
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Please can someone help solve the attached:
The translation moves 5 units to the left and 2 units down, so we have:
c = -5
d = -2
How to find the values of C and D?To identify the translation, let's follow a single vertex of the triangle.
The top vertex of triangle A is at (2, -3)
After a reflection about the x-axis only the y-value changes, so after the reflection the coordinates of that vertex will be:
(2, 3).
In now we apply the given translation, the new coordinates will be:
(2 + c, 3+ d)
And the coordinates of this vertex on triangle B is (-3, 1), so we have:
(2 + c, 3+ d) = (-3, 1)
2 + c = -3
c = -3 - 2 = -5
3 + d = 1
d = 1 - 3
d = -2
So the translation is defined by the values:
c = -5
d = -2
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can I pleas have some help on these questions. you will get Brainiest and lots of points. THANK YOU. here is the question :
Find the first five terms of each sequence. Separate your answers with commas and no spaces: 1,2,3,4,5
a1 = -5, an = 3(an-1), n ≥ 2
a1 = 4, an = -2(an-1) +1, n ≥ 2
a1 = -5, an = -3(an-1) -1, n ≥ 2
Answer:
3,6,5,8,1
Step-by-step explanation:
Could you help me with this geometry question?
The value of <RQZ has been calculated as 21 from the solution we have below.
How to solve for RQZWe have
< PZQ= <PQZ
PQR - PRQ = 42
Let < PZQ = y⁰
PQZ = y⁰
Let PRQ = x⁰
< PQR = x + 42⁰
< QpZ + y + y = 180⁰
such that
QPZ + 2y = 180⁰
<QPZ = 180⁰ - 2y
<(QPZ + PQR + PRQ) = 180
Adding these equations, we would have
180 - 2y + x + 42 + x = 180⁰
180 would cancel out
We have
2x - 2y + 42 = 0
x- y +21 = 0
We have to add 21 to both sides of the equation
x- y + 42 = 21
(x + 42) - y = 21
(x + 42) = <PQR and y = < PQZ
Hence 21 = <RQZ
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Rhea sells Fish-stick Sandwiches for $8 and Fish-stick Burritos for $9. One day, Maya bought 12 of items and paid $103.
* 20 points *
PLS HELPS ME!!!!!!!!!!!!
Answer:
Step-by-step explanation:
1).
(a). Yes, the graph is linear.
(b). Rate of change is a slope m, m = (60 - 80) / (10 - 0) = - 2
2). Graph is not proportional, because y-intercept is (0, 80) and not (0, 0)
The profit for a product is given by P(x)= -16x2 + 1760x - 44,800, where x is the number of units produced and sold. How many units give break even (that is, give zero profit) for this product? separate by commas
The break-even point for the product is reached when the number of units produced and sold is 55.
We can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given profit function -16x² + 1760x - 44,800, the coefficients are:
a = -16
b = 1760
c = -44,800
Substituting these values into the quadratic formula, we have:
x = (-1760 ± √(1760² - 4(-16)(-44,800))) / (2(-16))
Simplifying further:
x = (-1760 ± √(3,097,600 - 286,720)) / (-32)
x = (-1760 ± √2,810,880) / (-32)
Now, we calculate the square root:
x = (-1760 ± 1674.83) / (-32)
Dividing by -32:
x ≈ (1760 ± 1674.83) / 32
x ≈ 54.75 or x ≈ 131.75
Rounding to the nearest whole number, we get:
x = 55 or x = 132
However, since we're dealing with the number of units produced and sold, the solution x = 140 is not feasible as it would result in a negative profit. Therefore, the break-even point occurs when 55 units of the product are produced and sold.
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The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them. The force is 0.084 Newtons when the distance between the objects is 3 metres. Work out d (rounded to 2 DP) when F = 0.029 Newtons.
The distance when F = 0.029 based on the computation is 5.1 meters.
How to calculate the distance?From the information, the force, F between two objects is inversely proportional to the square of the distance.
This willilk be illustrated as:
F = k / D²
We will find the value of k. This will be:
F = k / D²
0.084 = k / 3²
0.084 = k / 9
Cross multiply
k = 9 × 0.084 = 0.756
Therefore, the distance when F = 0.029 will be:
D² = k / F
D² = 0.756 / 0.029.
D² = 26
D = ✓26
D = 5.1
The distance is 5.1 meters.
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Which known factor affects prices in the financial markets?
A-International stocks
B-Media speculation
C-Government policy
D-Foreign companies
I know it’s not A becuse I failed it on Frist try with that answer
In ΔPQR, the measure of ∠R=90°, QR = 61 feet, and RP = 90 feet. Find the measure of ∠P to the nearest degree.
Step-by-step explanation:
given= in triangle PQR,<R=90⁰ QR=61 FEET RP=90 FEET
by using pythagoras therom ;
(hypotenuse)²=(side1)² +(side2)²
(PQ)²=(PR)²+(QR)²
(PQ)²=(90)² + (61)²
(PQ)²=8100 + 3721
(PQ)²=11821
TAKING SQUARE ROOTS ON BOTH SIDES, WE GET;
PQ= 108 feet
<P = thita
sin ⁰ = opposite/hypotenuse
sin⁰ =QR/PQ
SIN⁰ =61/108
SIN⁰ =0.56
there amgle P measures 0.56 degree
Answer:
34
Step-by-step explanation:
its right
Solve for X. Answer needed ASAP!!
45+1y/-15 = -3
Answer:
y=720
Step-by-step explanation:
Multiply both sides of the equation by −15.
−675+1y=45
Add 675 to both sides.
1y=45+675
1y=720
-- -----
1 1
y=720
A steak that weighs 4 pounds cost $31.68 at HEB™. At this rate, what will be the cost of a steak that weighs 1/2 pound
Answer:
mabe try $24.10
Step-by-step explanation:
question in the number 7,567.23, how does the value of the 7 in the ones place compare to the value of the 7 in the thousands place?
The value of the 7 in the one's place is 1/1000 times the value of the 7 in the thousand places.
According to the question,
The number is 7,567.23.
Place value in Maths describes the position or place of a digit in a number. Each digit has a place in the number.
The difference in place value in one's place and thousand places is 1000.
The 7 in the thousands place is 1000 times the value of the 7 in the one's place.
So, The value of the 7 in the one's place is 1/1000 times the value of the 7 in the thousand places.
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Solve the quadratic by factoring.
x^2 + 9x +25 = 5
Answer:
To solve the quadratic equation x^2 + 9x +25 = 5 by factoring, we first rearrange the equation to get:
x^2 + 9x +20 = 0
Next, we need to find two numbers that multiply by 20 and add to 9, the coefficient of x. The two numbers are 4 and 5.
So, we can factor the quadratic as:
(x + 4)(x + 5) = 0
Setting each factor to zero and solving for x, we get:
x + 4 = 0 or x + 5 = 0
Solving for x in each equation, we get:
x = -4 or x = -5
Therefore, the solutions to the quadratic equation x^2 + 9x +25 = 5 are x = -4 and x = -5.
Find x. Round your answer to the nearest tenth of a degree.
10, x, 15
X=°
help me please this is the last one
a. In the triangle, the value of angle x = 25° and it is a scalene triangle
b. In the triangle, the value of angle x = 11° and it is a scalene triangle
c. In the triangle, the value of angle x = 45° and it is a scalene triangle
What is a triangle?A triangle is a polygon with 3 sides
a. To find the value of x in this triangle, we know that
x° + (2x + 11)° + 94° = 180° (sum of angles in a triangle)
Solving for angle x, we have
x° + 2x° + 11° + 94° = 180°
3x° + 105° = 180°
Subtracting 105 fromboth sides, we have that
3x° = 180° - 105°
3x° = 75°
x = 75°/3
x = 25°
(2x + 11)° = (2 × 25° + 11)°
= 50° + 11°
= 66°
Since the angles in the triangle are 25°, 66° and 94°. Since no angles are equal, it is a scalene triangle.
So, the value of x = 25° and it is a scalene triangle
b. To find the value of x in this triangle, we know that
2x° + (11x + 3)° + 34° = 180° (sum of angles in a triangle)
Solving for angle x, we have
2x° + 11x° + 3° + 34° = 180°
13x° + 37° = 180°
Subtracting 37 from both sides, we have that
13x° = 180° - 37°
13x° = 143°
x = 143°/13
x = 11°
(11x + 3)° = (11 × 11° + 3)°
= 121° + 3°
= 124°
Since the angles in the triangle are 11°, 34° and 124°. Since no angles are equal, it is a scalene triangle.
So, the value of x = 11° and it is a scalene triangle
c. To find the value of x in this triangle, we know that
x° + (x + 20)° + 90° = 180° (sum of angles in a triangle)
Solving for angle x, we have
x° + x° + 20° + 90° = 180°
2x° + 110° = 180°
Subtracting 110 from both sides, we have that
2x° = 180° - 110°
2x° = 70°
x = 70°/2
x = 45°
(x + 20)° = (45° + 20)°
= 45° + 20°
= 75°
Since the angles in the triangle are 45°, 75° and 90°. Since no angles are equal, it is a scalene triangle.
So, the value of x = 45° and it is a scalene triangle
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A useful computational shortcut for the ANOVA test is expressed asa. dfw = dfb + SST
b. SSB SSW-SST
c. SST = SSB/SSW
d. SSW SST-SSB
The correct answer is (b). SSB = SST - SSW
The ANOVA (analysis of variance) test is a statistical method used to compare the means of two or more groups. One useful computational shortcut for this test is expressed as SSB = SST - SSW, where SSB is the sum of squares between groups, SST is the total sum of squares, and SSW is the sum of squares within groups.
The useful computational shortcut for the ANOVA test is expressed as:
SSB = SST - SSW
where SSB is the sum of squares between groups, SST is the total sum of squares, and SSW is the sum of squares within groups.
Option (b) is the closest, but it has a typo. It should be:
SSB = SST - SSW
Therefore, the correct answer is (b).
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The useful computational shortcut for the ANOVA test is SSW = SST - SSB
therefore,option d. SSW = SST - SSB is correct.
ANOVA (Analysis of Variance) is a statistical test used to analyze differences between group means.
The test involves partitioning the total variation into two components:
variation between groups (SSB, sum of squares between) and variation within groups (SSW, sum of squares within).
The total sum of squares (SST) represents the overall variability in the dataset.
The computational shortcut for ANOVA states that the sum of squares within groups (SSW) can be calculated by
subtracting the sum of squares between groups (SSB) from the total sum of squares (SST).
So, SSW = SST - SSB.
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9 (4 + 2c) = ?
THANK YOUUUUU
Answer:
18c + 36
Step-by-step explanation:
Rearrange Terms:
9 (4 + 2c) =
9 (2c + 4) =
18c + 36
Hope this helps! :)
2. What is the mode for the data set 13, 11, 10, 12, 14, 9,
11, 8, 11?
A.10
B. 11
C. 12
D. none of the above
Answer:
11
Step-by-step explanation:
mode is the number that is most frequent
11
Answer:
11
Step-by-step explanation:
Mode means the highest repeated observation in the data set,
Therefore Mode = 11, as 11 has repeated 3 times, the most in the data set
Answers please. First to answer all of them correctly gets brainliest.
Answer:
1: Graph 4
2: Graph 2 (the first one in the third picture)
3: I got $422, so $420, is probably the correct answer.
Step-by-step explanation:
If I helped, a brainliest would be greatly appreciated!
how do we do thisss
3^-2 × 3^x = 81
Answer:
x = 6
Step-by-step explanation:
Using the rule of exponents
\(a^{m}\) × \(a^{n}\) ⇔ \(a^{(m+n)}\) , then
\(3^{-2}\) × \(3^{x}\) = 81 , that is
\(3^{x-2}\) = \(3^{4}\)
Since the bases on both sides are equal, both 3 then equate the exponents
x - 2 = 4 ( add 2 to both sides )
x = 6