Quien sabe cual es el complemento de 32 grados?
Estoy muy confundida

Answer:

22 1/2 or 45/2

Step-by-step explanation:

We will simplify further as follows:

***Sum of fractions***

Now, using this with the information given we have:

Now, we know that this expression was the denominator of 1, so:

Now, using division of fractions

So, that is:

Answer:

d

Step-by-step explanation:

90

Answer:

Step-by-step explanation:

Multiply the numerator by the reciprocal of the denominator.

251

300

= 56

Any number can be converted to fraction if you use one for the denominator:

84/1

Therefore now that we've converted 84 into the fraction, to work out the lowest term, we put the fraction 2/3 side by side with our new fraction, 84/1 so that we should multiply those 2 fractions.

all you need to do is convert the whole number into the fraction or then multiply the numerators or denominators :

2 x 84 / 3 x 1

= 168 / 3

In this situation, our new fraction shall actually be the simplified down further. To do that, we want to find the greatest common factor of those numbers.

We can now sum both the new numerator or the denominator by the three to simplify this fraction down to its lowest terms.

168/3 = 56

3/3 = 1

When we put that together, we could see that our complete solution is:

56/1

= 56

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Answer:

Brian is 6 years old, John is 9 years old

Step-by-step explanation:

i.

J = 3 + B

J x B = 54

ii.

(3 + B) x B = 54

B² + 3B = 54

iii.

(B + 9)(B - 6) = 0

B = -9 or 6 -- -9 is irrational as one cannot be negative years old

Brian = 6 years old; therefore, John = 9 years old

Answer:

It’s 105

Step-by-step explanation:

The finance charge for the month of August is $4.93.

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

Given:

The starting balance from the previous month is $270.

The transactions on the account for the month are given in the table to the right.

Assume an annual interest rate of 19% on the account and that the billing date is August 1st.

After finding the balance outstanding each day, we sum it up.

And get the average as $305.4839

Now we find the average balance by dividing it by 31 days of the August month.

Average balance = $305.4839

Finance charge = $305.4839  x19 x 31/365 days

Finance charge = $4.929589

Finance charge = $4.93

Therefore, the Finance charge = $4.93.

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Answer:

Option (4)

Step-by-step explanation:

From the given circle O,

AC and BD are the diameters intersecting at point O.

∠AOB ≅ ∠COD [Vertical angles]

Therefore, length of intercepted arcs by these central angles will be same.

\(m(\widehat{AB})=m(\widehat{CD})\)

(3x - 70) = (x + 10)

3x - x = 70 + 10

2x = 80

x = 40

Since, \(m(\widehat{AB})+m(\widehat{BC})=180\) [Since AC is a diameter]

(3x - 70) + \(m(\widehat{BC})\) = 180°

3(40) - 70 + \(m(\widehat{BC})\) = 180°

\(m(\widehat{BC})\) = 180° - 50°

           = 130°

Therefore, Option (4) will be the correct option.

Answer:

130 degrees

Step-by-step explanation:

Answer:

3a-4b

3a-4(6)

3a-24

Step-by-step explanation:

The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:0.533583

Step-by-step explanation:

The value of (1.487³ - 1) ÷ (1.487³ + 1) using log is 1.

The logarithm is the exponent or power to which a base must be raised to yield a given number.

If x is the logarithm of n to the base b then,

\(b^{x}\) = n

Where,

x = \(log_{b}\) n.

We have,

(1.487³ - 1) ÷ (1.487³ + 1)

We can solve this using log:

= log(1.487³ - 1)

= log 1.487³ - log1

= 3 log 1.487 - 0

[ log 1 = 0 and  \(logm^{n}\) = nlogm ]

= 3 x 0.1723

= 0.5169

Using log on (1.487³ + 1)

= log (1.487³ + 1)

= log 1.487³ + log 1

= 3 x log 1.487 + 0

= 3 x 0.1723 + 0

= 0.5169

Now,

(1.487³ - 1) ÷ (1.487³ + 1)

= 0.5169 ÷ 0.5169

= 1

Thus the value of (1.487³ - 1) ÷ (1.487³ + 1) using log is 1.

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Answer:

160 students

Step-by-step explanation:

As, 80% of 200 students instruments are of brass

So 80% of 200

= 80/100 x 200 = 160

So 160 students

The length of Jennifer's garden is 25 feet.

A rectangle is a geometric shape that has four sides and four right angles (90 degrees) with opposite sides being parallel and equal in length. It is a type of quadrilateral, a polygon with four sides. The length of the sides that are parallel to each other is called the base, and the length of the sides that are perpendicular to the base is called the height.

Let's suppose that the length of the garden is x feet.

We know that the width of the garden is 5 feet, so the total length of the edging required for the two widths is 2 x 5 = 10 feet.

The remaining edging is used for the two lengths of the garden, so we can write an equation based on the total length of the edging:

2(5 + x) = 60

Simplifying this equation, we get:

10 + 2x = 60

2x = 50

x = 25

Therefore, the length of Jennifer's garden is 25 feet.

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Let the 4-passenger cars be represented with F

Let the 6-passenger cars be represented with S

Rocket Coaster has 15 cars

So that F + S = 15 ----- Equation 1

Also, we were told that the total room for 72 passenger

so that 4F + 6S = 72 ----- Equation 2

Solving the two equations simultaneously using the substitution method,

Step 1

From equation 1:

Make F the subject of the formula

F = 15 - S ---- Equation 3

Step 2

substitute equation 3 into equation 2

4 (15 - S) + 6S = 72

Step 3

60 - 4S + 6S = 72

6S - 4S = 72 - 60

2S = 12

divide both sides by 2

S = 12/ 2

S= 6

Step 4

Substitute the value of S = 6 into equation 3

F = 15 - 6

F = 9

So the number of 4-passenger cars = 9

the number of 6-passenger cars = 6

Answer:

94.99

Step-by-step explanation:

Hi,

The formula to find the area of a circle is: A = πr²

So...

A = 3.14 (r)²

The radius of the circle is 5.5 because half of the diameter is the radius.

A = 3.14 (5.5)²

A = 3.14 (30.25)

A = 94.985 rounded is 94.99

I hope this helps :)

Answer:

\(m = 1.5\%\)

Step-by-step explanation:

Given

The attached table

Required

Determine his percentage commission

To do this, we need to calculate the slope (m) of the table as follows:

\(m = \frac{P_2 - P_1}{x_2 - x_1}\)

Where

\((x_1,P_1) = (7000,165)\)

\((x_2,P_2) = (7500,172.5)\)

\(m = \frac{P_2 - P_1}{x_2 - x_1}\) becomes

\(m = \frac{172.5 - 165}{7500- 7000}\)

\(m = \frac{7.5}{500}\)

\(m = 0.015\)

Convert to percentage

\(m = 0.015 * 100\%\)

\(m = 1.5\%\)

Hence, his percentage commission is 1.5%

The two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠K = ∠N and ∠L = ∠P are there.

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. We denote the similarity of triangles here by ‘~’ symbol.

It is given that two triangles that are JKL and MNP are considered in which:

Now, from ΔJKL and ΔMNP, we have

∠K = ∠N (Given in the question)

∠L = ∠P(Given in the question)

Thus, by AA rule of similarity,

ΔJKL is similar to ΔMNP.

Therefore, the two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠K = ∠N and ∠L = ∠P are there.

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Answer and Step-by-step explanation:

We can eliminate answer choices 2 and 4, since the graphs are shading below the line, which means y is less than or less than or equal to the values.

The answer is the first answer choice.

This is because this inequality matches up with the graph.

Everything is shaded below, and y is less than, so it matches up.

3 is the y-intercept.

The slopes match up as well.

#teamtrees #WAP (Water And Plant)

Answer:

  √17

Step-by-step explanation:

The Pythagorean theorem can be used for the purpose.

  hypotenuse² = base² +height²

  (√26)² = 3² +height²

  26 -9 = height²

  height = √17

The length of the other leg is √17.

Answer: 8

Step-by-step explanation:

I do not understand the question. But if my interpretation is correct, then:

If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.

Answer:

0.3

Step-by-step explanation:

1.9r + 0.1r = 0.6

Add like terms on the left side.

2r = 0.6

Divide both sides by 2.

r = 0.3

Answer:

3.333 continued

Step-by-step explanation:

Add 1.9r and .1r because they are like terms and you get 2r

Divide 2/.6

r = 3.3333

The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."

According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.

The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:

Sum = (n/2)(first term + last term)

In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:

Sum = (7/2)(x + (x + 6))

Simplifying the equation:

(7/2)(2x + 6) = (21/4)(x + 6)

Multiplying both sides by 4 to eliminate the fractions:

14x + 42 = 21x + 126

Subtracting 14x from both sides:

42 = 7x + 126

Subtracting 126 from both sides:

-84 = 7x

Dividing both sides by 7:

-12 = x.

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Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property

From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.

In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.

Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

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Answer:

To find 29% of 150, we can first express 29% as a decimal by dividing 29 by 100. 29% is the same as 0.29.

Then, we multiply 0.29 by 150 to find the answer:

0.29 * 150 = 43.5

So, 29% of 150 is equal to 43.5.

Here's the work:

29% * 150 = 0.29 * 150 = 43.5

\(\huge\text{Hey there!}\)

\(\mathsf{29\%\ of \ 150}\)

\(\mathsf{= \dfrac{29}{100} \ of \ 150}\)

\(\mathsf{= \dfrac{29}{100} \times 150}\)

\(\mathsf{= \dfrac{29}{100} \times \dfrac{150}{1}}\)

\(\mathsf{= \dfrac{29(150)}{100(1)}}\)

\(\mathsf{= \dfrac{4,350}{100}}\)

\(\mathsf{= \dfrac{4,350 \div 50}{100 \div 50}}\)

\(\mathsf{= \dfrac{87}{2}}\)

\(\mathsf{= 43 \dfrac{1}{2}}\)

\(\mathsf{= 43.5}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{\dfrac{87}{2}}}\huge\checkmark\)

\(\huge\boxed{\mathsf{43 \dfrac{1}{2}}}\huge\checkmark\)

\(\huge\boxed{\mathsf{43.5}}\huge\checkmark\)

\(\large\text{Either of those should work because they are all equivalent to each}\\\large\text{other}\uparrow\)

\(\huge\text{Good luck on your assignment \& enjoy your day! }\)

Answer:

11x-1

Step-by-step explanation:

Area =length x width

so multiply (2x+3) and (3x+1) to get 11x-1

Answer: >

Step-by-step explanation:

Answer:

Step-by-step explanation:

an normal rectangle will have abot 4 lines of symmetry but since i can not see you rectangle i cant tell for sure