The legs of a right triangle are 3 units and 5 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. (5 points)

Question 4 options:

1)

4.00 units

2)

2.83 units

3)

5.83 units

4)

8.00 units

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distribute 3

Subtract 3x

Divide 9

-4/3 = x

Check

After 8 number of games both has equal amount of money.

Deana starts with $15 and the machine she is playing costs $0.75 per game

lulu starts with $13 and the machine she is playing costs $0.50 per game

Let us after x number of games both has same money

Deana spends 0.75*x amount of money after playing x number of games.

Deana has remaining amount of money 15 - 0.75*x.

lulu spends 0.50*x amount of money after playing x number of games.

lulu has remaining amount of money 13 - 0.50*x.

We have assumes that after x number of games both has same amount of money.

[tex]15-0.75*x = 13 - 0.50*x[/tex] --- this is the correct expression to write an equation that could be used to find after how many games the two friends will have the same amount of money.

15 - 13 = 0.75*x - 0.50*x

2 = 0.25*x

x = 2/0.25

x = 8.

So After 8 number of games both has equal amount of money.

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Answer:

Step-by-step explanation:

You want the values of x and y when corresponding angles at parallel lines are marked (9x -14)° and (7x +18)°, and a vertical angle to those is marked y°.

Corresponding angles where a transversal crosses parallel lines are congruent:

  (9x -14)° = (7x +18)°

  2x = 32 . . . . . . . . . . divide by °, add 14-7x

  x = 16

Then these angles are ...

  (9(16) -14)° = (144 -14)° = 130°

Vertical angles are congruent, so ...

  y° = 130°

  y = 130

Answer: A

Step-by-step explanation: To find Pedro Romar's new balance, we need to add his previous balance and the interest to the deposit, and then subtract the withdrawal. This gives us $895.00 + $3.50 + $210.00 - $20.50 = $1,088.00. Therefore, the correct answer is $1,088.00 or option (a).

Answer:

3500

Step-by-step explanation:

1 : 200 = 17.5 : x

x = 200 × 17.5

x = 3500

The equation of line passes through the point (8, 2) will be;

⇒ y = 1/4x

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (8, 2).

And, The slope of perpendicular line is,

⇒ m = - 4

Now,

Since, The equation of line passes through the point (8, 2).

So, We need to find the slope of the line.

Since, The product of slope of the perpendicular line is - 1.

Hence, Slope of the line is,

m = - 1/- 4

m = 1/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 2 = 1/4 (x - 8)

⇒ y - 2 = 1/4 (x - 8)

⇒ y - 2 = 1/4x - 2

⇒ y = 1/4x

Therefore, The equation of line passes through the point (8, 2) will be;

⇒ y = 1/4x

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Answer:c

Step-by-step explanation: decreasing

The type of hypothesis test would be the best to compare these ratings are that it is sample test.

The Independent Samples t Test compares the means of two independent groups in order to determine whether there is statistical evidence that the associated population means are significantly different.

The Independent Samples t Test is a parametric test. This test is also known as: Independent t Test.In independent samples (or unpaired sample), the values come from two or more different groups. For example, if the group of men and the group of women are asked about their income, independent samples exist. In this case, a person from one sample cannot be assigned to a person from the other sample

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Answer:

.................=/

Step-by-step explanation:

A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland.

An Atlantic Ocean hurricane or a northern Pacific Ocean hurricane is a tropical storm. In most years, hurricanes develop between June 1 and November 30. The Taino Indian word "hurakan," which means "god of wind," is where the word "hurricane" originates.

A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland. Depending on the maximum sustained wind speeds, hurricanes are either classed as tropical storms or hurricanes. Hurricanes have winds of 74 mph or more, whereas tropical storms have winds of 39 to 73 mph.

The hurricane's eye, which is a calm, clear region encircled by powerful winds, is the most hazardous component of the storm. The hurricane's eye, which can be up to 30 miles across, frequently experiences the storm's greatest rains and highest winds.

A hurricane's landfall can result in flooding from storm surges, strong winds, and heavy rains. The increase in sea level that happens as a cyclone nears land is known as a storm surge. Along with coastal locations, this increase in water level has the potential to inflict significant harm and flooding.

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story that represented equation, Maria, who liked cookie packages, did the arithmetic and discovered that the price of 4 cookie packages plus $5 is equivalent to the price of 12 cookie packages less $11.

A mathematical equation is a formula that connects two expressions with the equal sign = to express equality.

As a fan of cookie packages, Maria did the math and found that the cost of 4 packages of cookies + $5 is equal to the cost of 12 packages of cookies less $11.

[tex]'a'[/tex] represents the expense of a box of cookies,

On one side of the equation, we have the 4 packages of cookies plus $5.

[tex]4a + 5[/tex]

additionally, the 12 packages of cookies less 11 dollars on the other side of the equation.

[tex]12a - 11[/tex]

Now,

[tex]4a + 5 = 12a - 11[/tex]

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Hello,

I hope you and your family are doing well!

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. In this case, the difference between consecutive terms is 6, so the common difference is 6.

The explicit formula for the nth term of an arithmetic sequence with first term a1 and common difference d is:

a_n = a1 + (n-1)d

Plugging in the values from the given sequence, we have:

a_n = 7 + (n-1)6

This is the explicit formula for the nth term of the arithmetic sequence.

For example, if you want to find the fifth term of the sequence, you would plug in n = 5:

a_5 = 7 + (5-1)6 = 7 + 4*6 = 7 + 24 = 31

So the fifth term of the sequence is 31.

---

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It is proved that Point A is situated equal distance from Triangle PQA and RQA.

It is a line that divide an angle or a line in two equal parts.  In the given figure, QA is a bisector as it divides the angle PQR.

Triangles are called congruent when they have equal corresponding sides and equal corresponding angles. As shown in figure, the bisector QA creates two congruent triangle PQA and RQA.

it is given, QA is bisector of angle Q, so point A lies equal distance from P and R. According to the figure, APQ and ARQ are right angle.

As per the rules of congruence theorem, triangle PQA and Triangle RQA are two congruent triangles.

hence, A is the same distance from P and R

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Statement                                                                  Reason

1. QA is the bisector of ∠PQR                                   Given

2. ∠PQA   ≅ ∠RQA                                          Definition of bisector

4. ∠QXA ≅ ∠QYA                                   All right angles are congruent

5. QA ≅ QA                                                                Given

6.△PQA ≅ △RQA                                            AAS Postulate

8. Point A is equidistance                              Definition equidistance

from the side of ∠PQR        

What is right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given that point A is lie on the bisector of ∠PQR.

When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector. Segment bisectors and angle bisectors are the sorts of bisectors that are most frequently taken into consideration.

Therefore QA is the bisector of ∠PQR

Then ∠PQA   ≅ ∠RQA  

Since ∠QXA and ∠QYA are right angle, therefore they are congruent.

∠QXA ≅ ∠QYA

QA ≅ QA

AAS postulate: The triangles are congruent if two angles and the excluded side of one triangle match two angles and the excluded side of another triangle.

According to AAS postulate,

△PQA ≅ △RQA  

Point A is equidistance from ∠PQR.

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Answer: $62900

Step-by-step explanation:

Find 5% of 37000 by taking 37000 timed 0.05 = $1850

Then find the total rise after 14 years by taking 1850 timed 14 = $25900

Then we add the original 37000 with 25900 = $62900

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Answer: around 62900 Dollars in 14 years

Step-by-step explanation:

find the percentage of the raise per year

1850

Multiply by 14

25900

add the starting amount of salary per year

25900+37000

73257

For $6.99, you can buy 1 pound of shrimp, therefore, the third option is correct

A ratio indicates the number of times one number contains another.

The given equation is c = 6.99p, where c is the cost and p is the weight in pounds.

c = 6.99p

substitute p = 1:
c = 6.99

Hence, for $6.99, you can buy 1 pound of shrimp, therefore, the third option is correct.

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The transformations of f(x) are (b) horizontally shrunk by a factor of 1/4, vertically stretched by a factor of 5 and then reflected across the x-axis

From the question, we have the following function that can be used in our computation:

f(x) = x²

g(x) = -5(4x)²

Mathematically, these equations can be represented as

g(x) = -5f(4x)

The above equations implies that, we have the transformation to be:

Hence, the transformed function is (b(

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Answer: No solution

Step-by-step explanation:

First take away p from both sided and then you get 4 = -9 but you can't really do anything else

When Michael continues at this rate, the words Michael type in 12 minutes will be 1032.

It is important to note that a rate demonstrates how many times one number can fit into another number. Rates contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Here, Michael typed 430 words in 5 minutes. The words ler minutes will be:

= 430 / 5

= 86

If he continues at this rate, thr words Michael type in 12 minutes will be:

= 86 × 12

= 1032 words.

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Complete question

Michael typed 430 words in 5 minutes. If she continues at this rate, how many words could Michael type in 12 minutes?

Answer:

baba perksssssssssssssss

Step-by-step explanation:

Answer: y=2x-13

Step-by-step explanation:

When lines are parallel to each other they have the same slope so the slope of the line we are trying to find is 2.

To find the y-intercept we can turn the equation into point-slope form using our point (6,-1) and slope (2).

Point-Slope Form: y-y1=m(x-x1)

y+1=2(x-6)

Then solve for y to find the y-intercept

y+1=2x-12

y=2x-13 is your answer in Slope-intercept form

Answer:

No they would be perpendicular

Step-by-step explanation:

Answer: c) 3/27

Step-by-step explanation:

To make equivalent fractions, we multiply the numerator and denominator with the same number so that on cancelling we get the original fraction...

Therefore, 1/9=

1 x 3 / 9 x 3 = 3/27

Which can also be written as 3:27

So, the answer is c) 3/27

The number of minutes it takes to complete 2 levels is (a) 60 minutes

From the question, we have the following parameters that can be used in our computation:

Number of Levels 2 7

Time (hours) ? 3.5

This table can be represented as follows:

Ratio = Level : Time

So, we have the following representation

Level : Time = 7 : 3.5

At level 2, we have

2 : Time = 7 : 3.5

Express as fraction

Time/2 = 3.5/7

So, we have

Time = 2 * 3.5/7

Evaluate

Time = 1

Express as minutes

Time = 60 minutes

Hence. the time is 60 minutes

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x = ± π/2 + 2kπ    with k ∈ Z is the solution of fundamental identities

What is fundamental identities?

An equation is referred to as an identity if it has one or more variables and holds true for any replacement value of each variable that is specified on both sides of the equation.

 y = cscx

  y³ - y² - y + 1 = 0   has a root for y = 1

=  y³ - y² - y + 1  

= ( y² - 1 ) ( y - 1 )

= ( y + 1 ) ( y - 1 )²

   cscx = ± 1

  sinx = ± 1

or

  x = ± π/2 + 2kπ    with k ∈ Z

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There are 15 different positive divisors (greater than 1) for the number m³pt. Here m, p, and t are distinct prime numbers. This is obtained by the prime factorization method.

The following are the steps to find the number of positive factors of a number:

Step 1: Find the L.C.M of the number by using the prime factorization method. For example: consider the number 24. Then, its prime factorization is as follows:

24 = 2 × 2 × 2 × 3

Step 2: Same bases should be added in powers. So, the factors we can write as

24 = 2³ × 3¹

Step 3: To find the number of positive factors of the number, the exponents of the prime factors is multiplied by adding 1.

I,e., N = (3 + 1)(1 + 1) = 4 × 2 = 8.

So, there are 8 factors for the number 32. They are 1, 2, 3, 4, 6, 8, 12, and 24.

It is given that, m, p, and t are distinct positive prime numbers.

Then, the number of positive divisors greater than 1 for the number m³pt are

m³× p × t

Since m, p, and t are prime factors, we can multiply their power by adding 1 to them. I.e.,

N = (3 + 1) (1 + 1) (1 + 1) = 4 × 2 × 2 = 16

So, there are a total of 16 factors for the given number (including 1). So, the number of factors greater than 1 is 16 - 1 = 15.

Therefore, there are 15 different positive divisors greater than 1 for the number having prime factors as m³pt.

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Answer:

Area= 2(x-3)

Area= (x-3)2

Step-by-step explanation:

not sure if that's right but I think it is

Answer: A' (-4,-1)  B' (-2,-1)  C' (-1,2)

Step-by-step explanation:  The reasons these are the correct answers because if you look at the rule of a rotation, it states that: The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .

If more than 25 people are added, the total revenue will be r(x) = $ 50, with the x = 5 size group producing the highest revenue for the agency.

The law of diminishing returns dictates that marginal revenue will eventually begin to decline as output level rises, even though it can remain constant above a certain threshold of output.

calculation

If a group of 25 people or more, a travel agency will organize the excursion.

The cost is $300 per person, if the group has exactly 25 participants. However, the cost per person drops by $10 for each additional person beyond the calculated maximum of 25.

R(X) = ( 25 + x ) ( 300 - 10x ) ( 300 - 10x )

evaluate in relation to x = R'(X) = 300 - 10x - 250 - 10x = 50 - 20x

We now have 30 people, which means that there are 5 more persons than 25.

Marginal revenue equals $50 when x = 5 and R'(X) = 50 - 20(5).

The revenue will drop by $50 for the following individual (31st ).

If more than 25 people are added, the total revenue will be r(x) = $ 50, with the x = 5 size group producing the highest revenue for the agency.

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Answer:

The square root of 9 is equal to 3.

Step-by-step explanation:

Square roots are essentially x squared = y. In this case, y is 9. x squared makes x = 3 because 3 * 3 * 3 = 9