Consider the hypotenuse of a right triangle with two legs that are two inches and one inch long, respectively. The length of the hypotenuse, in inches, is between which pair of the following fractions?
a 9/4 10/4
b 17/8 18/8
c 14/4 15/4
d ¼ ⅓
e ¾ 5/4

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Pythagoras formula for the relation of the side lengths of a right-angled triangle :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle). a and b are the "legs".

so, we have here

c² = 1² + 2² = 1 + 4 = 5

c = sqrt(5) = 2.236067977...

so, answer option c is too big (values bigger than 3).

answer options d and e are too small (values smaller than 2).

a

9/4 = 2.25

10/4 = 2.5

this is also too big .

that leaves us with b

17/8 = 2.125

18/8 = 9/4 = 2.25

that is correct


Related Questions

Order the rational numbers from least to greatest
-45/7
9/7
0/7
-4/7
6/7
-7/7

Answers

Answer:

-45/7

-7/7

-4/7

0/7

6/7

9/7

-45/7
-7/7
-4/7
0/7
6/7
9/7
hope it helps

Please help with this math

Answers

Answer:

iuj

Step-by-step explanation:

7/8 of the animals in a garden are goats the rest 230 cow how many animals are there altogether​

Answers

Answer:

1610

Step-by-step explanation:

230 is 1/8 percent, multiply it by 7, get 1610

If one angle of a triangle is 30° more than twice another angle, and the third angle is equal to the sum of the first two angles, find the measure of each angle.

Answers

Answer:

Answer:first angle = 25 degrees

Second angle = 35 degrees

Third side = 120/degrees

Step-by-step explanation:

What is the area of this tile

Answers

ANSWER: 4in^2
Explanation: 4x1=4

Answer:

4in^2

Step-by-step explanation:

1x4=4 and then ^2 because it's square inches

A person who is 1.7 meters tall want to know the height of the
center of a Ferris wheel from the ground in the amusement
park, if he is 40 meters away and looking up to its center with an angle of 30°.

The center of the Ferris wheel is how many meters from the ground?

Answers

Answer:

https://www.javelin-tech.com/blog/wp-content/uploads/2020/11/NC_Math-3_Student-Edition-1-1.pdf

Step-by-step explanation:

Find the answer here if you can find it :> thanks me later

Calculate the slope of the line for Graph B.

Answers

Answer:

-1

Step-by-step explanation:

rise = -2

run = 2

Slope = rise / run

= -2/2 = -1

Since also the angle made by the line and x axis in anti clockwise direction is > 90° the slope will be-ve .

Answer:

Slope = -1

Step-by-step explanation:

You are provided with two points on the line (-5, 7) and (1,1).

[tex]Slope = \frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]

[tex]Slope = \frac{7-1}{-5-1} =\frac{6}{-6} =-1[/tex]

Can you please help me

Answers

Answer:

11

Step-by-step explanation:

PLEASE HELP! WILL GIVE BRAINLIEST (NO LINKS)


1. What is the probability of rolling a total of 7 or 11 with two 6-sided dice

2. What is the probability of rolling a total less than 5 with two s6-sided dice

3. What is the probability of rolling a total of 10 with a 6-sided dice and a 8-sided dice

Answers

Answer:

1. 2/9

2. 1/3

3. 112

Step-by-step explanation:

how to solve this.im stuck in this question for 20 mins. Plzz answer

Answers

Answer:

Find the minimum or maximum value of the function g (I) = -3x^2 - 6x + 5. Describe the domain and range of the function, and where the function is increasing and decreasing. > -1 all real numbers The function The maximum value is I < 0 The domain is and the range is right of I left -1 is increasing to the of I= and decreasing to the 0 12 :: yo y0 :: 8 :: IS-1 :: -1 :: 0 :: I> 0 :: 1 :: 8 :: < 0 :: left :: all real numbers :: y -8 :: y < 8 :: y8​

Step-by-step explanation:

3(x-2)=18 can somebody plzz help me

Answers

Answer:

x=8

Step-by-step explanation:

3(x-2)=18

3x-6=18

3x=18+6

3x=24

x=24/3

x=8

Given : Simplify 3(x - 2) = 18

Solution : According to the question, here we are given an equation i.e 3(x - 2) = 18 where we need to get the value of x by simplifying it.

3(x - 2) = 18

Cross multiplying 3 to the other side

x - 2 = 18/3

x - 2 = 6

Transposing -2 to the right hand side of the equation to get +2

x = 6 + 2

Adding them we get the final answer

x = 8

Henceforth, the required answer is 8

In ΔABC and ΔPQR it is given that ∠A=∠R , ∠C=∠P , ∠B = ∠Q. then which of the following holds true ? *
1 point
(a)∆BCA ≅ ∆PQR
(b) ∆ABC ≅ ∆PQR
(c) ∆CBA ≅ ∆PQR
(d)∆CAB ≅ ∆PQR

Answers

Answer:

c. CBA = PQR

Step-by-step explanation:

Fill in the missing values
in the empty boxes
based on the pattern.
Х
y
-5
17
-3
11
-1
5
1
3

Answers

x

ysalamst po

-17-30sanaol

Pls help me with this, tyyy!

Answers

Answer:

Input : 12

Output : -48

Step-by-step explanation:

Hope it helped

Find surface area I need help

Answers

Step-by-step explanation:

π x r^2 + π x r^2 + 2 x π x r x h

4π + 4π + 16π = 24π

Please answer lol its math

Answers

Answer:

12.5

Step-by-step explanation:

hope it helped

Answer:

12.5

Step-by-step explanation:

Divide 25ft by 2mm

> 25 / 2 = 12.5

Find the slope of the line graphed below.​ 21 points!

Answers

The answer is 3/2
3 units up and 2 units to the left that is the slope

Answer:

The answer is 1.5

Step-by-step explanation

First you want to find the rise. This is the amount of height between the two points (Y) and divide them over the run. This is amount of distance (X) between the points. This will be 6/4. Divide this and you have your answer!

Solve the equation.
-3x + 1 + 10x = x + 4
Ох:
x=
No
x=
x =
x = 12
x = 18

Answers

Answer:

x=1/2

Step-by-step explanation:

Find the third side in simplest radical form:

Answers

Step-by-step explanation:

[tex]by \: pythogorus \: law \\ {x}^{2} = ( { {29}^{2} - {21}^{2} })^{ \frac{1}{2} } \\ = \sqrt{20} \\ = \sqrt{4 \times 5 } \\ = 2 \sqrt{5} [/tex]

If the perimeter of a square is 7 feet how many inches long is the square on each side?

Answers

Answer:

7÷4=1.75

Step-by-step explanation:

..............

The length of each side of the square is 1.75 feet.

What is square?

"It is a quadrilateral with all sides are equal and all angles are 90°"

What is the perimeter of square?

"The perimeter of square is, P = 4 × a,

where 'a' is the side length of the square."

For given example,

the perimeter of a square is 7 feet.

⇒ P = 7 feet

Let 'a' be the length of each side of the square.

Using the formula of perimeter of a square,

⇒ P = 4 × a

⇒ 7 = 4 × a

⇒ a = 7 ÷ 4

a = 1.75 feet

Therefore, the length of each side of the square is 1.75 feet.

Learn more about the perimeter of a square here:

https://brainly.com/question/11495285

#SPJ2

The nth term of a sequence is 3n2 - n + 10 where n is a positive integer. Which term in the sequence is equal to 54?​

Answers

Answer:

4th term

Step-by-step explanation:

Equate the nth term formula to 54 and solve for n

3n² - n + 10 = 54 ( subtract 54 from both sides )

3n² - n - 44 = 0

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.

product = 3 × - 44 = - 132 and sum = - 1

The factors are - 12 and + 11

Use these factors to split the n- term

3n² - 12n + 11n - 44 = 0 ( factor the first/second and third/fourth terms )

3n(n - 4) + 11(n - 4) = 0 ← factor out (n - 4) from each term

(n - 4)(3n + 11) = 0

Equate each factor to zero and solve for n

n - 4 = 0 ⇒ n = 4

3n + 11 = 0 ⇒ 3n = - 11 ⇒ n = - [tex]\frac{11}{3}[/tex]

Since n > 0 then n = 4

The 4th term of the sequence is 54.

What is a sequence ?

A sequence is a set of numbers with a constant difference or a constant ratio or it have a certain relation with the next and previous term.

According to the given question the nth term of a sequence is 3n² - n + 10.

We have to determine which term is equal to 54 or the value of and it must be an integer.

So, 3n² - n + 10 = 54.

3n² - n - 44 = 0.

3n² - 12n + 11n - 44 = 0.

3n(n-4) +11(n-4) = 0.

(3n+11) = 0 OR (n-4) = 0.

n = - 11/3 OR n = 4.          ( given the term no. is a positive integer ).

learn more about sequence here :

https://brainly.com/question/21961097

#SPJ2

If angles are supplementary, then one of the angles is an obtuse angle. Answers are these Sometimes always or never pick one

Answers

An obtuse angle measures 180 degrees if angles are supplementary then one of the angles is about an obtuse angle

Can Someone explain this to me? No Links no bots please.

Answers

Answer:

The domain is x = all real numbers and the range is y >= 0.

Step-by-step explanation:

The domain represents all possible values that x can be for a given equation or graph. Since this is a parabola, it will keep expanding upwards and outwards infinitely, so it will eventually reach every x value on both the positive and negative axis, therefore x is all real numbers (also written as (-INF, INF) in another notation).

The range is similiar to the domain, but it represents all possible y values. The parabola, as I mentioned before, will expand upwards infinitely, so all y values greater than the vertex will be reached. The vertex for this graph is the lowest point of the parabola, so y will have to be greater or equal to it. For this equation, the vertex is (0,0) so y has to be greater than or equal to 0.

What is the sum????????

Answers

sum is the process of adding two numbers.

Write the steps you follow when you want to graph an equation y=2x +3.
Step 1;......

Step 2:.....

Step 3:.....

Answers

Answer:

1.Pick the point x= 0, y=3 as your starting point.

2. write the slope as a fraction, in this case 2/1. Move up as many times the numerator says (2), and forward as many times the denominator says (1). If either is negative, you move the opposite direction.

3. You got a second point. Put a ruler between them - or any straight edge - and draw the line.

Dana ate her trail mix. she found that 28% of the trail mix is raisins. What is 28% of 7 ounces

Answers

Answer:

the answer is 2.28 ounces

Where do I graph them?​

Answers

hi there is the gems I am getting on to be a good choice and evolve as a means to get a better of your life

Plus 6 at the end means that the line crosses the y axis at positive 6 and 3x is 3/1x and you just rise over run to graph the line. Hope this helps.

In each figure, solve for x

Answers

46+30=76
angles in a triangle add to 180°
180-76=104
180-104=76
x=76
To get the answer you add 46 degrees and 30 degrees to get 76 and then all the angles in the inside have to add up too 180 so you substract 76 too 180 and that would give you 104 but you gave to substract it again to get x and that would get you 76

can you help me please

Answers

Answer:

i cant read that

Step-by-step explanation:

When using a(n) _____ join, only rows from the tables that match on a common value are returned.

Answers

When you using an Inner Join, rows from table that match a common value are the only ones returned.

In SQL server, of we can create a new table by combining rows that have values that match in two or more tables by using an inner join clause.

Logically, this is used to retrieve data from tables that have a common field or appears to have data in both tables.

The diagram below shows the data retrieved using Inner Join in SQL Server which is represented by the part in black.

Therefore, when you using an Inner Join, rows from table that match a common value are the only ones returned.

Learn more about Inner Join on:

https://brainly.com/question/12851463

Other Questions
Thank-you letters should be sent out withinof the interview.O A. one weekB. one dayC. one monthD. a few days speech on what is more important being right or being more popular what's the answer to Select ALL the correct answers.Consider the graph of function g below.Determine which sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g. Shift right 2 units, reflect over x-axis, and then vertically stretch by a factor of 3. Shift left 2 units, reflect over x-axis, and then vertically stretch by a factor of 3. Shift right 6 units, reflect over x-axis, and then vertically stretch by a factor of 3. Reflect over the y-axis, vertically stretch by a factor of 3, and then shift up 6 units. Reflect over the x-axis, vertically stretch by a factor of 3, and then shift up 6 units. Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 3. What does Ender decide he must do about bullies? Why? (ENDERS GAME ) An example of kinetic energy being converted into heat energy What is the y-coordinate of the solution of the system of equations?Sy= 3x 262x y = 19Enter your answer in the box.y= plz help Yo _[blank 1]_ Paulo. _[blank 2]_ de Per. _[blank 3]_ muy alegre hoy, porque voy a un concierto. _[blank 4]_ en el Parque Central a las ocho. Opa! Qu hora _[blank 5]_?Qu palabra (ser o estar) completa cada oracin correctamente? What goes in what blank here are the choses Esta esta EsesSoysoy Estoyestoy "Think About Pardoning Me" Every year the president of the United States pardons a turkey. Pardon means to be cleared, freed, or let go. Assume the role of a turkey and write a formal letter to the President explaining why you should be pardoned.DOESN'T HAVE TO BE SO LONG ( 1 paragraph ) A company's biggest vulnerability in employing a best-cost provider strategy A. relying too heavily on outsourcing. B. getting squeezed between the strategies of firms employing low-cost provider and high-end differentiation strategies. C. getting trapped in a price war with low-cost leaders. D. being too timid in cutting its prices far enough below high-end differentiators many of their customers. E. not having a sustainable distinctive competence in cost reduction. A report that details prevention, appraisal, internal failure, and external failure costs is called a ________. do the write a relation as a set of five ordered pairs then express the relation using a: table mapping diagram graph What is 8.798 rounded to the nearest cent Solve it by Substitutionno link or website a well download for the answer. please do step by step If Rick did not drive to the city, the alternative was to take the train.a. development b. hazard c. compulsion d. choice 66Chapter 6 DiscussionntsThis discussion will require you to do an experiment with a friend or a member of your family. This experiment issuggested by Stanley Coren and his associates to demonstrate Weber's law (Coren, S., Ward, L., & Enns, J.T. (2003)Sensation and perception (6th edition) New York: Wiley.)etYou need three quarters, two envelopes, and a pair of shoes (preferrably heavier than a tennis shoe).1. Place one quarter in one envelope and the remaining two quarters in the other2. Have the person lift each envelope and tell you which is heavier3. Have the person go away or turn around, and then place each of the envelopes into separate shoes4. Have the person lift each shoe and tell you which is heavierurces. What were your results? Why? What was at work here? Describe how this principle might impact other areas of our everyday lives. Give at least three specific examples.Respond to at least one other classmate. David wants to purchase some pens. The pens he likes cost $2 each, not including tax. This is represented by the graph below. Write an equation for the graph of the line. Write an essay that compares and contrasts life in the dystopian society of the novel you read with our modern-day society.How can I start my first sentence?Book:the giver Translate the following word into Englishconfundidocontrolledcontinuedconfusedconfronted C plus 3/8 equals 1 1/3 what does C equalASAP How many bagels can you buy for $50?