Patrick left an $7 tip on a $53 restaurant bill. What percent tip is that?

The measures of the two angles is  29° and 61°.

It is required to find the measures of the two angles.

When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

Given :

The sum of complimentary angles is 90°.

Let x represent the unknown angle, then the given angle is 32° + x

x + (32 + x) = 90°

   2x + 32 = 90°

   2x         = 58°

     x         = 29°

Since the complement is x, its measure is 29°.

To find the other angle, sub 29° in for x.  

So 29° + 32°

= 61°.

Therefore, the measures of the two angles is  29° and 61°.

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The old monthly payment was =  9.27 x 50 = 463.5

The new monthly payment is = 11.10 x 50 = 555

The percent increase in his monthly payment is 1.947%

Given,

Sandra Williams bought a home with a 10.25% adjustable rate mortgage for 25 years. She paid $9.27 monthly per thousand on his original loan

According to the question:

So, per thousand value of $65000 is 50000/1000 =50

Now, the old monthly payment was =  9.27 x 50 = 463.5

She decides to renew and will now pay $11.10 monthly per thousand on his loan.

So, the new monthly payment is = 11.10 x 50 = 555

The percent increase in his monthly payment is= 11.10 /9.27 - 1 x 100

19.7411 % and to nearest tenth it is 1.947%

Hence, the old monthly payment was =  9.27 x 50 = 463.5

the new monthly payment is = 11.10 x 50 = 555

The percent increase in his monthly payment is 1.947%

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Answer:

y=36

Step-by-step explanation:

this is an isosceles triangle so the bottom 2 angles are equivalent

5x=40

/5. /5

x=8

So since all 3 angles equal 180 degrees

we subtract the 2 40 adegrees angle

180-40-40

100

3y-8=100

   +8. +8

3y=108

/3. /3

y=36

Hopes this helps please mark brainliest

The approximate height of the Eiffel Tower at -9°C is approximately 0.191 meters.

Here, we have to calculate the approximate height of the Eiffel Tower at the lower temperature (-9°C), we need to consider the change in height due to the temperature change.

Given that the height increases by 19.1 cm when the temperature changes from -9°C to +40°C, we can use this information to find the height at -9°C.

Change in height = Height at +40°C - Height at -9°C

19.1 cm = Height at +40°C - Height at -9°C

Let's denote the height at -9°C as "h" meters.

The height at +40°C would then be "h + 0.191" meters (due to the 19.1 cm increase).

So, the equation becomes:

0.191 = h + 0.191 - h

Solving for "h":

h = 0.191

Therefore, the approximate height of the Eiffel Tower at -9°C is approximately 0.191 meters.

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Answer:

C seems right to me

Step-by-step explanation:

Answer:

n=10

Step-by-step explanation:

6=3n/5

multiply both sides by 5

30=3n

divide both sides 3

10=n

The equation that best represents the given scenario is option a: x/(3x-4) = 80/20.

To solve this problem, let's use x to represent the number of bats. According to the problem, the number of baseballs is four less than three times the number of bats. This can be expressed as:

Number of baseballs = 3x - 4

Next, we are told that the equipment is 80% baseballs. This means that the number of baseballs is 80% of the total equipment. Since the total equipment consists of baseballs and bats, the equation becomes:

Number of baseballs = 0.8 * Total equipment

Since the total equipment is the sum of the number of baseballs and bats, we can rewrite the equation as:

Number of baseballs = 0.8 * (Number of baseballs + Number of bats)

Substituting the expression for the number of baseballs from the first equation, we have:

3x - 4 = 0.8 * (3x - 4 + x)

Now, we can solve for x:

Therefore, the number of bats is 1.

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The 99% confidence interval for the true population mean textbook weight is (38.11, 39.89) ounces.

We can find the standard error (SE) by using the formula:

SE = σ/√n

Where

σ = population standard deviation = 2.8 ounces

n = sample size = 41

SE = 2.8/√41

SE = 0.436

Now we can find the confidence interval by using the formula:

CI = x ± z*SE

Where

x = sample mean = 39 ounces

z* = the z-value corresponding to the level of confidence of 99 percent

The z-value corresponding to the level of confidence of 99 percent can be found using the z-table or calculator. It is found to be 2.576.

CI = 39 ± 2.576*0.436

CI = (38.11, 39.89)

Therefore, we can say that we are 99% confident that the true population mean textbook weight is between the interval (38.11, 39.89) ounces.

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

Hope This Helps!

Step-by-step explanation:

Answer:

If two lines are parallel, then they have equal slopes.

Step-by-step explanation:

Conditional:

If two lines have equal slopes, then the lines are parallel.

Converse: switch the hypothesis and the conclusion.

Converse:

If two lines are parallel, then they have equal slopes.

Answer:

$2 for each bottle of mango juice and 3$ for each bag of chips

Step-by-step explanation:

hope it can help you lovelots

Answer: 89

Step-by-step explanation:

Let the equation of the line be y=mx+b. Then, \(365=4m+b\).

The y-intercept is \(b=365-4m\).

From, the given information,

\(1 \leq 365-4m \leq 9\\\\-9 \leq 4m-365 \leq -1\\\\356 \leq 4m \leq 364\\\\89 \leq m \leq 91\)

So, the minimum possible slope is 89.

The values of the trigonometric functions of t are Sin(t)=0.2, Cos(t) = -5/12, Csc(t) = 5,Sec(t) = -12/5, Cot(t) = -5/12 and  the radius r of the circle if an arc of length 20 m on the circle subtends a central angle of 5π/7 rad is 8.86 m

To find the values of the trigonometric functions of t, the tan(t) value was used to calculate the sin(t) value by using the relationship sin²(t) + cos²(t) = 1. The other trigonometric functions were calculated by using the relationship among the trigonometric functions.

Sin(t) = √(1 - (tan(t))^2) = √(1 - (-12/5)^2) = √(1 - 144/25) = √(25/25 - 144/25)   = √(1/25) = 0.2

Csc(t)= 1/0.2= 5

The radius of the circle was then determined by using the arc length and the angle subtended at the center. The arc length was divided by the subtended angle to find the radius. The result was rounded off to two decimal places.

Radius r = (20m)/(5π/7)   = (20m*7)/(5π)   = 28/π = 8.86 m

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Since the hockey team is risk-neutral, they will base their decision solely on the expected value of each player's contribution to the team.

The expected value of Anton's contribution is:

E(Anton) = 0.5(0) + 0.5(10) = 5

Similarly, the expected value of Brandon's contribution is:

E(Brandon) = 0.5(3) + 0.5(7) = 5

Since both players have the same expected value, the team is indifferent between them. Therefore, the team can select either player, and the decision will not impact their expected outcome.

It's important to note that this decision is based on the assumption of rationality and equal weighting of outcomes. In reality, other factors such as team chemistry, position needs, and salary requirements may also influence the team's decision-making process.

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Answer: Slope = c / a + b

Concept:

Here, we need to know the idea of a slope.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Slope = Rise / Run = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)

Solve:

STEP ONE: Identify the points

A (0, 0)

C (a + b, c)

STEP TWO: Apply the formula

Slope = (y₂ - y₁) / (x₂ - x₁)

Slope = (c - 0) / (a + b - 0)

Slope = c / a + b

Hope this helps!! :)

Please let me know if you have any questions

Kyle needs to save for 4 more weeks than Lisa.

The camp costs $200, so we want to find the number of weeks required for both Lisa and Kyle to have a total savings of $200.

For Lisa, we can look at the table to see her savings for different numbers of weeks.

It shows that she saves $15 per week. We can set up an equation to represent her savings:

S = 15w

For Kyle, we are given that he has already saved $30 and plans to save $10 per week. We can set up an equation to represent his savings:

S = 10w + 30

Now, we can set their savings equations equal to $200 and solve for w:

15w = 200

10w + 30 = 200

Solving these equations, we find:

w = 200/15 ≈ 13.33

w = (200 - 30)/10 = 17

To find how many more weeks Kyle needs to save than Lisa, we subtract the number of weeks Lisa needs from the number of weeks Kyle needs:

= 17 - 13

= 4

Therefore, Kyle needs to save for 4 more weeks than Lisa.

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The equation of the quadratic with vertex of (5, 4) and passing through 8, 13) is:

Quadratic equation of the standard vertex form,

y = a(x - h)² + k     where a = 1/4p

The vertex

v (h, k) = (5, 4)

h = 5

k = 4

substitution of the values into the equation gives

y = a(x - h)² + k

y = a(x - 5)² + 4

passing through point (8, 13)

13 = a(8 - 5)² + 4

13 - 4 = a(3)²

9a = 9

a = 1

substituting for a

y = (x - 5)² + 4

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The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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Answer:

So...

Step-by-step explanation:

He earns $7.00 per hour, and he needs $210.00. H represents hours.

7.00 every hour

So 7.00 x  2 is 14

7.00 x 10.00 is 70

7.00 x 30 is 210. So after 30 hours he will be able to buy his phone. He should buy his phone on black friday. But now its too late.

Answer:

8

Step-by-step explanation:

-12 x -2 = 24. 24-16=8

The property of real numbers illustrated by the equation 2/5 + 27/5 + 5/27 = (2/5) + 1 is the Associative Property of Addition.

The Associative Property of Addition states that the grouping of numbers being added does not affect the sum. In other words, when adding three or more numbers, the order in which they are grouped for addition does not change the result.

In the given equation, the numbers 2/5, 27/5, and 5/27 are being added. The grouping of these numbers is changed on the left side of the equation by adding the first two fractions first and then adding the result to the third fraction. On the right side of the equation, the grouping is different, with the first fraction (2/5) being added to the number 1. However, despite the different grouping, the sum remains the same.

Therefore, the equation illustrates the Associative Property of Addition.

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Answer:

An x-coordinate is the x value in an ordered pair, which is just two mathematical objects, such as numbers, paired together. ... For instance, in the ordered pair (2,5), the x-coordinate would be '2. ' This value tells you how far a point is from the origin, or starting point, in the x direction on a 2-dimensional graph.

Step-by-step explanation:

For any lower bound L of A, we have −L ≤ N, which implies that −N is the greatest lower bound for A.

To prove that A has the greatest lower bound, we can follow the hints given:

Hint #1: Since A is bounded below, it has a lower bound M ∈ R. Now define a new set B:= {x ∈ R: x = −a for some a ∈ A}. Prove that −M is an upper bound for B as follows. Let x ∈ B be arbitrary. It follows that x = −a for some a ∈ A.

To prove that −M is an upper bound for B, we need to show that for any x ∈ B, x ≤ −M. Since x = −a for some a ∈ A, we have −a ∈ A. Since M is a lower bound for A, we have −a ≥ M. Therefore, x = −a ≤ −M, which implies that −M is an upper bound for B.

Hint #2: Use the result of Hint #1 to help explain that B has a least upper bound N ∈ R.

Since −M is an upper bound for B, B is bounded above. By the Completeness Axiom, B has a least upper bound, denoted as N.

Hint #3: Prove that −N is the greatest lower bound for A as follows. Let a ∈ A be arbitrary, and note that −a ∈ B. Continue this argument and establish that −N is a lower bound for A. To verify that −N is the greatest lower bound, let L ∈ R be an arbitrary lower bound for A. By an argument analogous to that suggested in Hint #1, −L is an upper bound for B.

Let's prove that −N is a lower bound for A. Since N is the least upper bound of B, we have x ≤ N for all x ∈ B. Since B = {x ∈ R: x = −a for some a ∈ A}, we have −a ∈ B for any a ∈ A.

Therefore, for any a ∈ A, we have −a ≤ N, which implies that −N is a lower bound for A.

To prove that −N is the greatest lower bound for A, let L ∈ R be an arbitrary lower bound for A. By the same reasoning as in Hint #1, we can show that −L is an upper bound for B.

Since N is the least upper bound of B, we have −L ≤ N. Therefore, for any lower bound L of A, we have −L ≤ N, which implies that −N is the greatest lower bound for A.

In conclusion, we have proven that A has the greatest lower bound, which is −N.

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Answer:

36.656

Step-by-step explanation:

Calculate using trigonometry, Calculator may be required

Ok, so it's actually pretty easy

First of all, we know that all triangles' angles add up to 180 degrees

Here we can tell that we have one 90 degree angle and another 45 degree angle

Now, we can subtract both of these angles to then finalize that, the missing angle is equal to 45 degrees

Hope this helps :)

Answer:

100°

Step-by-step explanation:

55°+25°+third angle=180°(by angle sum property)

80°+third angle=180°

third angle=180°-80°

third angle=100°

Answer:

The measure of the third angle of the triangle would be 100°.

Step-by-step explanation:

25 + 55 + x = 180

80 + x = 180

x = 180 - 80

x = 100

Answer:

about $14,000 i think

Step-by-step explanation:

i think

Answer:

1,000 ÷25 = 40 so 40÷20= $2.00

your answer is $2.00 hope this helps

Therefore, the total distance traveled by the particle on the interval [0, 2π] is 24π meters. Regarding the vector function domain, as the particle is moving along a line, which suggests that the vector function representing the particle's position is likely of the form r(t) = ⟨x(t), y(t), z(t)⟩, where x(t), y(t), and z(t) represent the position components along the x, y, and z axes, respectively.

To find the total distance traveled by the particle on the interval [0, 2π], we need to integrate the magnitude of the velocity function v(t) over that interval.

The magnitude of the velocity function is given by ∥v(t)∥ = √(v₁(t)² + v₂(t)²), where v₁(t) and v₂(t) are the x and y components of the velocity function.

In this case, v₁(t) = 12cos(t) and v₂(t) = -12sin(t). Therefore, the magnitude of the velocity function is:

∥v(t)∥ = √((12cos(t))² + (-12sin(t))²)

      = √(144cos²(t) + 144sin²(t))

      = √(144(cos²(t) + sin²(t)))

      = √(144)

      = 12

The magnitude of the velocity function is constant and equal to 12 m/s.

To find the total distance traveled, we integrate the magnitude of the velocity function over the interval [0, 2π]:

Total distance = ∫[0,2π] ∥v(t)∥ dt

             = ∫[0,2π] 12 dt

             = 12 ∫[0,2π] dt

             = 12 [t] [0,2π]

             = 12 (2π - 0)

             = 24π

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