One angle of a right triangle measures 51 degrees. What is the measure of the other small angle?

Answer:

\(y-7=6(x-2)\)

Step-by-step explanation:

Equation of line in point-slope form is

\(y-y_1 = m(x-x_1)\)

Here

\(m=6 \ \ \ and \ \ \ (x_1, y_1) = (2, 7)\)

Substituting values in equation

\(y-7=6(x-2)\)

Answer:

Length= 19

Width=16

Step-by-step explanation:

(16x2)+(19x2)=70

38+32=70

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

im study about history it was my favourite subject!

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Answer: $1.92??

Step-by-step explanation:

∵ 372 miles ≠ 300 miles

∴ Not correct.

Answer:

17 dollars

Step-by-step explanation:

100 - 15 = 85

85 percent of 20 = 17

Answer: D

Step-by-step explanation:

By definition, sec x = 1/cosx.

Answer:

B

Step-by-step explanation:

Commutativity justifies the statement, of If n is a multiple of 8, then n is even. However, n is not even. Therefore, n is not a multiple of 8.

Commutativity is used in Maths equations and describes sums that can be moved around and will still give the same answer.

'Commutative' comes from the word 'commute' which means to move and travel around, so equations that are commutative have numbers that can be moved within the equation.

commutative law, in mathematics, is either of two laws relating to number operations of addition and multiplication that are stated symbolically as a + b = b + a and ab = ba.

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The maximum and minimum value of the function subject to the given constraint is f(0,0) = 0.

What are Lagrange multipliers?

Lagrange's multiplier is a mathematical technique used to find the maximum or minimum value of a function subject to certain constraints. It is named after Joseph-Louis Lagrange, who first introduced the method in the 18th century.

To use Lagrange multipliers to find the maximum and minimum values of the function f(x, y) = y^2 - x^2 subject to the constraint 1/4x^2 + y^2 = 64, we need to first set up the Lagrange function:

L(x, y, λ) = y^2 - x^2 + λ(1/4x^2 + y^2 - 64)

We then find the partial derivatives of L with respect to x, y and λ:

∂L/∂x = -2x + λ(1/2x) = 0

∂L/∂y = 2y + λ(y) = 0

∂L/∂λ = 1/4x^2 + y^2 - 64 = 0

Solving these equations, we find the following solutions:

x = 0, y = 0, λ = -8

x = 8√2, y = 8√2, λ = 4

x = -8√2, y = -8√2, λ = 4

Now, we need to check these solutions to see if they satisfy the constraint 1/4x^2 + y^2 = 64. Only the first solution x = 0, y = 0 satisfies the constraint.

Hence, the maximum and minimum value of the function subject to the given constraint is f(0,0) = 0.

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Answer: 14.25

First we will find the mean,

(2+4+5+5+3)/2

=19/2=9.5

Now we will subtract all 5 numbers from the mean we found.

9.5-2=7.5

9.5-4=5.5

9.5-5=4.5

9.5-5=4.5

9.5-3=6.5

We will now find the mean for these new numbers, that is,

(7.5+5.5+4.5+4.5+6.5)/2

=28.5/2=14.25

THERE YOU HAVE IT, MEAN ABSOLUTE DEVIATION OR MAD. GOOD LUCK!

The range of values for the width of the dog run is 73.5 ≥ w ≤ 237

Perimeter of a rectangle = 2(length + width)

The inequality:

281 ≥ 2(67 + w) ≤ 608

281 ≥ 134 + 2w ≤ 608

solve independently

281 ≥ 134 + 2w

281 - 134 ≥ 2w

147 ≥ 2w

w ≥ 147/2

w ≥ 73.5

2(67 + w) ≤ 608

134 + 2w ≤ 608

2w ≤ 608 - 134

2w ≤ 474

w ≤ 474 / 2

w ≤ 237

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The width of the dug run is 73.5 ≤ w ≤ 237

A compound inequality is an inequality formed by combining two simple inequalities.

Analysis:

Let the width of dug run be w

perimeter = 2(67 + w) = 134 + 2w

   281 ≤ 134 + 2w

     147 ≤ 2w

     73.5 ≤ w

 Also, 134 + 2w ≤ 608

        2w ≤ 474, w ≤237

In conclusion, the range of values of the width of the dug run is 73.5≤w≤237

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The total amount the college student will have in the savings account after 5 years will be $15,095

From the question, we are to determine the amount the college student has in savings.

From the compound interest formula, we have that

A = P(1 + r/n)^nt

Where A is the amount

P is the principal

r is the interest rate

n is the number of times compounded per year

and t is the time.

From the given information,

P = $13,000

r = 3%= 0.03

n = 4

t = 5

Putting the parameters into the formula

A = P(1 + r/n)^nt

A = 13000(1 + 0.03/4)^(4×5)

A = 13000(1 + 0.03/4)^20

A = $15095.39

A ≈ $15095

Hence, the amount is $15,095

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Using translation concepts, the correct statements are given as follows:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

Ava's graph is given by:

h(x) = x² + 4.

It is a vertical translation of 4 units of f(x) = x², as the change was in the range of the function. Hence, it has a y-intercept of f(0) = 0² + 4 = 4.

Victor's graph is given by:

g(x) = (x + 4)²

Which means that it moves 4 units from f(x) = x² in a positive direction.

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The simplified fοrm the expressiοn is  \(7x^2+5x-12\).

MathematicaI expressiοns cοnsist οf at Ieast twο numbers οr variabIes, at Ieast οne arithmetic οperatiοn, and a statement. It's pοssibIe tο muItipIy, divide, add, οr subtract with this mathematicaI οperatiοn.

Unknοwn variabIes, integers, and arithmetic οperatοrs are the cοmpοnents οf an aIgebraic expressiοn. There are nο symbοIs fοr equaIity οr inequaIity in it.

Here the given expressiοn is

=> \((6x^2+5x-3)+(x^2-9)\)

Nοw simplifying the expression then,

=> \(6x^2+5x-3+x^2-9\)

=> \(6x^2+x^2+5x-3-9\)

=> \(7x^2+5x-12\)

Hence the simplified fοrm the expression is  \(7x^2+5x-12\).

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Answer:  

6  

Step-by-step explanation:

this question is basically asking you to find the HCF of 30 and 36

step 1 : draw prime factor tree diagrams and write the numbers out as the product if their prime factors

step 2: multiply the prime factors they have in common

30 = 2 x 3 x 5

36 = 2 x 2 x 3 x 3

HCF = 2 x 3 = 6

Answer: 6 rows of lemon trees and 6 rows of lime trees.

Steps: All you need to do is to find the highest common factor of 30 and 36, which is 6.

30 divided by 6 is 5 and 36 divided by 6 is 6.  So uncle john can plant 5 lemon trees and 6 lime trees each row. That would make 6 rows of lemon trees and 6 rows of lime trees.

Brainliest pls if it is correct!

This is an arithmetic sequence with a common difference given by d= -7

I will start by defining my first term as u⁰=361

Now we have to think, if u⁰ is my 1st term than my 47th term would be u⁴⁶ not u⁴⁷ since i start counting from 0 and not 1.

Using the relation that describes the implicit relation of an arithmetic sequence, i can say:

u(n)=u⁰+nd where n is any number

u⁴⁶=u⁰+46d

u⁴⁶=361+46(-7)

u⁴⁶=361-322

u⁴⁶=39

Answer:

39.

Step-by-step explanation:

This is an arithmetic sequence with common difference -7

47th term = a + d(n - 1)

= 361  - 7(47-1)

= 39.

Answer:

the number is -15

Step-by-step explanation:

if you turn the word problem into an equation it would be

4x+19=-86-3x

with x being the unknown number

the next step is to move the -3x to the other side by adding it to the 4x

your equation should now be 7x+19=-86

next you should move the 19 to the other side by subtracting it from the -86

this leaves you with the equation

7x= -105

lastly you must divide the -105 by seven which leaves you with the answer x= -15

Answer: 39

Step-by-step explanation: We have to move the decimal one place to the right to make 1.2 a whole number, so 12. You do the same thing to 46.8, so you get 468. Then you divide from there. 12 can go into 46 3 times. 12 x 3 = 36. you subtract to get 10, then bring down your 8, to get a new number of 108. 12 can go into 108 9 times. 12 x 9 = 108. Then you have a remainder of 0. Your product is 39.

Answer:

700

Step-by-step explanation:

Step-by-step explanation:

3x × 8x- 3x×16

24x -48x

-24x

Answer:

bgfadnjsaflkdjkfsdjbehheheh

Step-by-step explanation:

Answer:

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Step-by-step explanation:

1) Substitute 5 into the question

2) Work out the sides

3) Put it into an inequality

5 < 7

Hope this helps, have a great day!

3pints for $12

x pints for $20.00

simply cross muliply:

12x=60

x=60/12

x=5

Thus the answer is 5.

Answer:

1 rupee=100 paisa

so, 20 paisa:2000 rupees

=>20 paisa:2000×100

=>1:10000.

Answer:9/41

SOH = opposite over hypotenuse

Step-by-step explanation:

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

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Answer:

We need a question

Step-by-step explanation: