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

What is 35 X (5 +150)=

Answers

Answer: 5425

Step-by-step explanation:

Write the equation of the line described below in point-slope form.

Answers

Answer:

y-1=2(x-3)

Step-by-step explanation:

Point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]. m = the slope. [tex]1=y_{1}[/tex] and [tex]3=x_{1}[/tex] now you plug it in. y-1=2(x-3).

[tex]\text{Given that,}\\\\(x_1,y_1)=(3,1) ~ \text{and slope, m=2}\\\\\text{The equation,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -1 = 2(x -3) \\\\\implies y = 2(x-3) +1 \\\\\implies y =2x-6 +1\\\\\implies y =2x -5[/tex]

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

w>-20

Step-by-step explanation:

1.
Identify the vertex and the y-intercept of the graph of the function.

y = 0.5(x – 3)^2

A. vertex, (3, 0); y-intercept 4.5

B. vertex, (–3, 0); y-intercept, 4.5

C. vertex, (–3, 0); y-intercept, 1.5

D. vertex, (3, 0); y-intercept, 1.5

Answers

Answer:

A. vertex, (3, 0); y-intercept 4.5

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 3 , 0 )

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

x-intercept(s):  

( 3 , 0 )

y-intercept(s):  

( 0 , 4.5 )

Can someone please answer for d and b

Answers

Answer:

d=2√2, b=[tex]\frac{3\sqrt{2}}{2}[/tex]

Step-by-step explanation:

first triangle is a 30-60-90

so, sides x-x√2-2x

x=2

therefore d=2√2

second triangle is 45-45-60

sides, 1-1-√2

which means b√2=6

b=6/√2 ---> multiply by √2/√2 to get ride of the √2 denominator

b=6√2/4 , simplify

b=[tex]\frac{3\sqrt{2}}{2}[/tex]

Griff needs $46.35 more to buy a video game that costs $75.00, how much money does he already have?

Answers

Griff already has $28.65

Solve for m.

−2.4(m−5/6)=−5

Enter your answer as a simplified mixed number in the box.

m = plzzzzzzz helpppppp meee i willl give you all my points

Answers

Answer:

2 11/12

Step-by-step explanation:

This is what I got for the answer in the test.

The value of m in the given equation would be; m = 2.91

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We need to find the value of m.

This equation could also be given by;

−2.4(m−5/6)=−5

Distribute the negative;

−2.4(m−5/6)=−5

- 2.4m + 2.4 x 5/6 = -5

Now we get;

- 2.4m = -5 - 2

- 2.4m = -7

m = 2.91

Hence, the value of m in the given equation would be; m = 2.91

Learn more about expression here;

brainly.com/question/14083225

#SPJ2

which one is the same to 0.6 . 1/6 , 6% , 3/5 , 60% or 6/100

Answers

3/5 and 60% are both equivalent to 0.6


There are 50 students in one of Mr. Rudolph's physical education classes. On Monday, 14% of the students were absent from that dass. How many students were present in that dass
on Monday?

Answers

50 x .14 = 7 students absent
50 - 7 = 43 students present

43 is the number of students were present in that class on Monday

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that there are 50 students in one of Mr. Rudolph's physical education classes.

On Monday, 14% of the students were absent from that dass.

We have to find the number of students were present in that dass

on Monday.

Let us find 14% of 50

14/100 ×50

0.14×50

7 students were absent.

Now 50-7=43 students.

Hence, 43 number of students were present in that class on Monday

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ6

FOR A BRAINLST PLS BE ACCURATE

Answers

Answer:

the answer is the third

hope it help

Solve the slope for the table.

Answers

the answer to your question is slope is 6

From 11 friends to 12 friends find the percent

Answers

Answer:

109.090909%

Step-by-step explanation:

Answer:

9.09091%

Step-by-step explanation:

From 11 friends to 12 friends find the percent

from 11 friends to 12 friends. The number of friends is increased by 1.

To get the percentage of increase:

(12 - 11) / 11 = 1 / 11 = * 100% =

The increase of 1 friend is equivalent to 9.09091% increase

11 is the basis. It is the 100%

 1 is the increase. It is the 9.09091%

12 is the total number of friends.

A fish is at 12.85m below sea level and a turtle is at 3.5m right above the fish. State the position of the turtle.

Answers

Answer:

9.35

Step-by-step explanation:

because you take 3.5 away from 12.85

Answer:

9.35

Step-by-step explanation:

SAME EXPLANATION PO

Graph the equation and identify the intercept(s). If the equation is linear, find the slope of the line.

4. 2x - 3y = 6
5. y = 4.5
6. y = | x - 1 | -2

Answers

Answer:

Graphs shown below.

4.) x-intercept: (3,0)  y-intercept: (0,-2)  slope: 2/3

5.) x-intercept: none  y-intercept: (0,4.5)  slope:0

6.) x-intercept: (3,0) and (-1,0)  y-intercept: (0,-1)   slope: none

#4 is blue graph, #5 is green graph, #6 is red graph

Step-by-step explanation:

** #4 is blue graph, #5 is green graph, #6 is red graph **

Last summers, students who worked earned an average of $80 a week with a standard deviation of $12. What percentage of students earned more that $104 per week?

Answers

Answer:

2.28%

Step-by-step explanation:

Given:

μ = 80σ = 12x = 104

Find z-score:

z = (x - μ)/σz = (104 - 80)/12 = 2

Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.

Percentage of students earned more than $104:

100 - 97.72 = 2.28

Which Game Is The Best And Why?

A.) Uncharted 4 a Thief's End
B.) Call Of Duty Modern Warefare
C.) Batman Arkham Knight
D.) Marvel's Spider-Man

Answers

B) obviously it’s the most played game then all of the others this year

Answer:

Hmm, id say call of duty, because first of all, my brother would not be happy if i chose something else, lol, also that one is pretty fun

Step-by-step explanation:

man to be honest there is a girl i really like should i tell her how i feel

Answers

Answer:

I think if you haven't hung out with her a lot, you should start hanging out with her, getting along, until you have built up courage to tell her you have feelings for her.

Yesss but be smooth with it though.

Ahmed has x pens.
Lucy has 2 more pens than Ahmed.
James has twice as many pens as Lucy.
Write down an expression, in terms of x, for the number of pens James has,

Answers

2(x +2 )

This is the number

What force is required to accelerate a car at a rate of 5 m/s2 if the car has a mass of 35.7 kg?Force Mass Acceleration




30.7 N


7.14 N




178.5 N




0.14 N

Answers

Answer:

178.5 N

Step-by-step explanation:

force = mass *  acceleration

f = 35.7 * 5

f = 178.5

178.5 Newtons

in a certain game, a fair die is rolled and a player gains 20 points if the die shows a 6. if the die does not show a 6, the player loses 3 points. if the die were to be rolled 100 times, what would be the expected total gain or loss for the player?

Answers

The expected gain or loss is an illustration of mean and expected values.

The expected total gain is 83 points

The given parameters are:

Addition of 20 points for rolling a 6Removal of 3 points for not rolling a 6

The probability of rolling a 6 in a fair die is 1/6.

The probability of not rolling a 6 in a fair die is 5/6.

So, the expected gain in each game is:

[tex]\mathbf{E(x) = 20 \times \frac 16 - 3 \times \frac 56}[/tex]

[tex]\mathbf{E(x) = \frac{20}6 - \frac{15}6}[/tex]

Take LCM

[tex]\mathbf{E(x) = \frac{5}6}[/tex]

[tex]\mathbf{E(x) = 0.83}[/tex]

The number of games is 100.

So, the expected gain is:

[tex]\mathbf{Gain = 100 \times 0.83}[/tex]

[tex]\mathbf{Gain = 83}[/tex]

Hence, the expected total gain is 83 points

Read more about expected value at:

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solve pls brainliest

Answers

Answer:

1.8333

Step-by-step explanation:

A theater always sets the price of a seat on the lower level, a, as $5 more than the price of a seat in the balcony, b. This situation is represented by the function a = 5 + b.

Answers

Answer:

I took the test

Step-by-step explanation:

A company claims that their new bottle holds 25% more laundry soap. If their original container help 48 fluid ounces of soap, how much does the new container hold?

Answers

The new container holds 60 fluid ounces of soap

Will give brainly if correct

Answers

there a five lines of symmetry because the number of lines in a pentagon is how many symmetry lines you add

Will mark brainliest

Answers

Answer:

27

Step-by-step explanation:

Isosceles trapezoid ABCD has legs AB and CD, and base BC. If AB = 3y - 4, BC = 2y -3, and CD = 4y - 18, find the value of y.

Answers

Answer:

   (6)

Step-by-step explanation:

Since it is an isosceles trapezoid the length of the two legs (i.e.  AB = 5y-10 and CD = 2y+8) are equal.  In other words,

5y - 10 = 2 y + 8

Subtract 2y from each side:

5y - 2y - 10 = 8

Now add 10 to each side

5y - 2y - 10 + 10 = 8 + 10 =>

3y + 0 = 18 =>  

3y = 18 =>

y = 6

Soooo I’m kinda confuzzled, I have trouble simplifying decimals..does anyone mind giving a helping hand??

Answers

Answer:

65 miles per gallon.

Step-by-step explanation:

Scale it down. [tex]78:1.2 = x:1.0[/tex] or, solving for x, [tex]x= \frac{78\cdot 1.0}{1.2} = 65[/tex] miles per gallon.

four more than the price ,p

Answers

What? What do you need help with?

Choose the graph of the inequality's solution. -4x + 8 > 12

Answers

Answer:

[tex]x < - 1[/tex]

You should have a circle on -1 with the arrow going left

Step-by-step explanation:

Subtract 8 from both sides.

[tex] - 4x + 8 > 12 \\ - 8 \: \: \: \: - 8[/tex]

[tex] - 4x > 4[/tex]

Divide by -4

[tex] \frac{ - 4x}{ - 4} > \frac{4}{ - 4} [/tex]

Since you are dividing by a negative, you need to flip the inequality.

[tex]x < - 1[/tex]

write a funny statement

Answers

Answer:

haaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

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