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3 years ago

What is the length of the hypotenuse of the triangle?

Mathematics

2 answers:

Dvinal [7]3 years ago

6 0

8x8 + 15x15 = y^2

64+225 = 289

take the square root of 289 which = 17

ANSWER = C. 17

vlada-n [284]3 years ago

5 0

Answer:

The correct option is C.

Step-by-step explanation:

According to the Pythagoras theorem, in a right angled triangle

$hypotenuse^2=perpendicular^2+base^2$

From the given figure it is clear that the triangle ABC is right angled triangle. Where, CB is perpendicular, AC is base and AB is hypotenuse.

Using Pythagoras we get,

$(AB)^2=(CB)^2+(AC)^2$

$(AB)^2=(15)^2+(8)^2$

$(AB)^2=289$

$AB=\sqrt{289}$

$AB=17$

The length of the hypotenuse of the triangle is 17 cm. Therefore the correct option is C.

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The lines on a 2-cup liquid measuring cup divide each cup into eighths If you measure 1 3/4 cups of water between which two quan

sasho [114]

Answer:

The line between 1 5/8 and 1 7/8 is exactly 1 3/4.

Step-by-step explanation:

1 3/4 = 1 6/8

Since the lines are every 1/8 of a cup, there are a total of 16 lines indicating 1/8 of a cup for a total of two full cups.

1/8 less than 1 6/8 is 1 5/8.

1/8 more than 1 6/8 is 1 7/8.

The line between 1 5/8 and 1 7/8 is exactly 1 3/4.

5 0

3 years ago

HELP ME OUT HERE! PLS TELL ME HOW U GOT THE ANSWER TOO!

IgorC [24]

Answer: Choice C

$\begin{array}{|c|c|} \cline{1-2}x & y\\\cline{1-2}0 & 1\\\cline{1-2}2 & 2\\\cline{1-2}4 & 3\\\cline{1-2}6 & 4\\\cline{1-2}\end{array}$

=========================================================

Explanation:

There are four marked points on the line.

Each point is of the form (x,y)

The first or left most point is (0,1)
The second point is (2,2)
The third is (4,3)
The fourth is (6,4)

Each of these points is then listed in the table format as shown above.

There are infinitely many other points on the line; however, we only select a few of them to make the table (or else we'd be here all day).

Extra side notes:

The slope of this line is m = 1/2 = 0.5
The y intercept is 1 located at (0,1)
The equation of this line is y = 0.5x+1

8 0

2 years ago

Read 2 more answers

45% of the population of a city are men

leonid [27]

Answer:

$\boxed{\textsf{ The number of children is \textbf{24150}.}}$

Step-by-step explanation:

Given that the 45% of the population of a city are men and 15% are children . The number of women is 64,400 . And we need to find the number of children . Here ,

$\sf\implies Percentage_{(men)}= 45/% .\\\\\sf\implies Percentage_{(children)}= 15\% .$

So the percentage of women will be equal to [ 100 - ( 45 -15) ]% = [ 100 - 60 ]% = 40% .

So let us take the total number of people be x . So ,

$\purple{\bigstar}\underline{\underline{\boldsymbol{ According\ to \ Question :- }}}$

$\sf\implies 40\% \ of \ x \ = \ 64,400 \\\\\sf\implies \dfrac{40x}{100}= 64,400 \\\\\sf\implies x =\dfrac{64,400\times 100}{40}\\\\\sf\implies \boxed{\pink{\sf x = 161,000 }}$

$\rule{200}2$

The percentage of children = 15% :-

$\sf\implies Number_{(children)}= 15\% \ of 161,000\\\\\sf\implies Number_{(children)}= \dfrac{15}{100}\times 161,000 \\\\\sf\implies \boxed{\pink{\frak {Number_{(children)}= 24150 }}}$

5 0

3 years ago

Identify the graphed linear equation.

Marrrta [24]

C
step by step explanation:

8 0

3 years ago

What is the interquartile range of 45,60,40,90,60,50,75,120,90

puteri [66]

IQR = 40

1) Put the numbers in order: 40, 45, 50, 60, 60, 75, 90, 90, 120
2) Find the median: Median is 60 (the 2nd one)
3) Place parentheses around the numbers above and below the median. For easy identification of Q1 and Q3. (40, 45, 50, 60,) 60, (75, 90, 90, 120)
4) Find the Q1 and Q3. Q1 = median of the lower half of the data; Q3 = median of the higher half of the data. Q1 and Q3 have even sets so its median cannot be defined.
5) Had both sets contain odd sets, the median of Q1 is subtracted from the median of Q3 to get the IQR.

We can then use the Alternative definition of IQR.
IQR is the difference between the largest and smallest values in the middle 50% of a set data.

40, 45, 50, 60, 60, 75, 90, 90, 120

Middle 50% is 50, 60, 60, 75, 90; IQR = Largest value - smallest value;

IQR = 90 - 50 = 40

5 0

3 years ago