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3 years ago

0.45 written as a common fraction in its simpliest form is

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

7 0

Answer:

45/100 = 9/20

Step-by-step explanation:

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Find the angles of a parallelogram in which an exterior angle is one-third that its interior angle.

iogann1982 [59]

Answer:

The angles of a parallelogram are 135°-45°-135°-45°

Step-by-step explanation:

we know that

In a parallelogram opposites angles are congruent and consecutive angles are supplementary

Remember that

The sum of a exterior angle and its interior angle is equal to 180 degrees

Let

x ----> the measure of one interior angle of parallelogram

y ----> the measure of the other interior angle of parallelogram

we have that

$x+\frac{x}{3}=180^o$

solve for x

$\frac{4}{3}x=180^o\\\\x=(180^o)3/4\\\\x=135^o$

<em>Find the measure of the other interior angle of parallelogram</em>

Remember that consecutive interior angles are supplementary

$x+y=180^o$

substitute the value of x

$135^o+y=180^o$

solve for y

$y=45^o$

therefore

The angles of a parallelogram are 135°-45°-135°-45°

3 0

3 years ago

Find a parametrization, using cos(t) and sin(t), of the following curve: The intersection of the plane y= 5 with the sphere

Elenna [48]

Answer:

The parametrization, of the given curve is $x = 10 cos(t) \ \ ,z = 10 sin(t)$

Step-by-step explanation:

From the question we are given the function

$x^2 + y^2 + z^2 = 125$

At y= 5

$x^2 + 5^2 +z^2 =125$

$x^2 + z^2 = 100$

$x^2 + z^2 = 10^2$

Converting the above to it polar equation we have

$x = 10 cos(t) \ \ ,z = 10 sin(t)$

6 0

2 years ago

Have the conditions for inference been met?

alekssr [168]

Answer: the answer is A

Step-by-step explanation: because the original question does not state that the swimmer “randomly selected” the members. It only says the swimmer “selects” 10 members. Therefore, it is A (The sample is not random)

youre welcome

5 0

2 years ago

Compute 1 + 2 + 3 +....+ 1,997 + 1,998 + 1,999

sp2606 [1]

Answer:

1 999 000

Step-by-step explanation:

Formula:

$1+2+3+.\ .\ .+n=\frac{n\times \left( n+1\right) }{2}$

………………………………………

Then

$1+2+3+....+1997+1998+1999=\frac{1999\times \left( 1999+1\right) }{2}$

$1+2+3+....+1997+1998+1999=\frac{1999\times \left( 2000\right) }{2}$

$1+2+3+....+1997+1998+1999=\frac{3998000 }{2}$

$1+2+3+....+1997+1998+1999=1999000$

7 0

2 years ago

A square park with sides 15 meters in length has a diagonal walkway as shown.

Alexxandr [17]

Answer:

The approximate length of the diagonal walkway is 21.21 meters

Step-by-step explanation:

we know that

Applying the Pythagorean Theorem in the square park, find out the the approximate length of the diagonal walkway

$c^2=a^2+b^2$

where

c is the diagonal of the square

a and b are the length sides of the square

we have

$a=15\ m\\b=15\ m$

substitute

$c^2=15^2+15^2\\c^2=450\\c=21.21\ m$

therefore

The approximate length of the diagonal walkway is 21.21 meters

5 0

3 years ago

0.45 written as a common fraction in its simpliest form is​

0.45 written as a common fraction in its simpliest form is