Melissa has six sets of card matches. She drops the cards and must find their match again. Record your results below.

Given:

In a right angle triangle,

Perpendicular =  8 units

Base = x units

Hypotenuse = 17 units

To find:

The exact value of x.

Solution:

The given triangles is a right angle triangle. So, side lengths form a Pythagorean triplet.

[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]

[tex](17)^2=(x)^2+(8)^2[/tex]

[tex]289=x^2+64[/tex]

[tex]289-64=x^2[/tex]

[tex]225=x^2[/tex]

Taking square root on both sides.

[tex]\pm \sqrt{225}=x[/tex]

[tex]\pm 15=x[/tex]

Side cannot be negative. So, [tex]x=15[/tex].

Therefore, the required value is [tex]x=15[/tex] and yes, the side lengths form a Pythagorean triplet, i.e., (8,15,17).

9514 1404 393

Answer:

  2)  y = kx

Step-by-step explanation:

Direct variation is described by the formula ...

  y = kx

where 'k' is the constant of proportionality.

Answer:

your picture is not loading for me

Answer:

1/5

Step-by-step explanation:

The transformer formula is as expressed as

Ns/Np= Ip/Is

Ns and Np are the number of turns in the secondary and primary coil respectively

is and Ip are the currents in the secondary and primary coil respectively

Given the following

Ip = 16A

Is = 80A

Substitute into the formula

Ns/Np = 16/80

Ns/Np = 1/5

Hence the transformer's turn ratio is 1/5

Answer: for pf, 1:5 is WRONG!

Step-by-step explanation:

Answer:

7 17/60

Step-by-step explanation:

you do 6x10 witch is 60 then you do 19 x 23 witch is 437 then divide that by 60 and that is 7 and you have 17 leftover

Answer:

the second choice

Step-by-step explanation:

2 has to be divided into 8 parts in total which is shown by option B

Answer:

9 km

Step-by-step explanation:

If Gwen were to walk 3 km for every trip she takes, she would walk 6 km on the second trip and 9 km on the third trip.

Answer:

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -¹/₂

(2, 3)    ⇒   x₀ = 2,  y₀ = 3

The point-slope form of the equation:

y - 3 = -¹/₂ (x - 2)

So:

y - 3 = -¹/₂ x + 1         {add 3 to both sides}

y = -¹/₂ x + 4            ←  the slope-intercept form of the equation

Answer:

C

Step-by-step explanation:

Slope of UV = 0 = Slope of XW

So UV is parallel to XW.

Slope of UX = [6-(-4)]/[-7-(-3)] = -5/2

Slope of VW = [6-(-4)]/(0-4) = -5/2

Slope of UX = Slope of VW i.e. UX is parallel to VW.

It is a parallelogram because opposite sides are parallel.

Answer:

Yes, because opposite sides are parallel.

Step-by-step explanation: I took the test

Answer:17

Step-by-step explanation:

red line is crimson because itit tha national colour of nepal

Answer:

-14/25

Step-by-step explanation:

:D

Answer:

16.69 cm³

Step-by-step explanation:

In finding the volume of the cylinder without the prism you find the volume of the cylinder assuming it has no prism in it then minus the volume of the prism

Volume of the cylinder assuming there is no prism through it

V=πr²h  where r is radius of the cylinder and h is height of the cylinder

Given that diameter = 2, then r= 1 cm  and height, h = 6cm

V= π * 1 * 1 * 6

V= 18.85 cm³

Volume of the rectangular prism

V= l*w*h

V= 6*0.6*0.6

V= 2.16 cm³

The volume of the cylinder without the prism

18.85 cm³-2.16 cm³ = 16.69 cm³

Answer:

Not an answer

Step-by-step explanation:

Answer:

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 25, \pi = \frac{12}{25} = 0.48[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.2842[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.6758[/tex]

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

Answer:

1.86 Miles per hour

Step-by-step explanation:

13/7

Answer:

27

Step-by-step explanation:

PEMDAS

That is the order that you should solve complex equations

You first do equations in Parentheses

Then exponents

Then Multiplication or Division (whichever comes first in the equation)

Then Addition or Subtraction (again, whichever comes first in the equation)

So we first do the equation in parentheses, 7 - 5

7 - 5 = 2

Then we do the exponent (to the power of 2)

2 to the power of 2 is 4 (fun fact. 2 + 2 is the only equation that is the same in addition form and multiplication form)

Next, we multiply 4 by 6

4 x 6 = 24

And finally addition

3 + 24 = 27

Answer:

14.86854, or 15

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

You cross multiply 5 and 5 and 2 and 6 to create a new fraction

Answer:

12/25

Step-by-step explanation:

so what you would do is keep the first fraction (2/5) then change the symbol then flip the last fraction (5/6). so then you would multiply 2*6= 12 and 5*5=25. so the answer would be 12/25.

Answer:

$67.98

Step-by-step explanation:

The discount was 25%, so you would need to multiply 90.64 and 0.25.

90.64*0.25= 22.66

However, that isn't your final answer because 22.66 is how much Sophie saved.

90.64-22.66= 67.98

Therefore, your answer would be $67.98.

Hope this helps :)

Answer:

45.54

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

a drop means subtraction and rising means addition

Answer:

x • (3x + 1) • (x + 2) • (2x - 3)

Step-by-step explanation:

Answer:

16:1

plz brainliestt

Step-by-step explanation:

144 : 9

Answer:

16:1

Step-by-step explanation:

Answer: 83.5

Step-by-step explanation: