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3 years ago

Change each of the following angles in degrees to angles in radians

Mathematics

1 answer:

grin007 [14]3 years ago

7 0

Answer:

d: 2.6179, e: 4.1887, f: 5.2359 all in rad

Step-by-step explanation:

(d): 150°degrees

150° × π / 180°

= 0.83333333333π rad

= 2.6179 rad

(e):240°degrees

240° × π / 180°

= 1.3333333333π rad

= 4.1887 rad

(f): 300°degrees

300° × π / 180°

= 1.6666666667π rad

= 5.2359 rad

If all my stuff is correct please give me an 5/5 and a thanks. :)

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AB = 6x DC = x + 15 AD = 9 BC = 3y Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show tha

ra1l [238]

Answer:

Therefore the lengths of the opposite side pairs.

C) 18, 9

Step-by-step explanation:

Given:

Quadrilateral ABCD is a parallelogram

AB = 6x

DC = x + 15

AD = 9

BC = 3y

TO Find:

AB = ?

BC = ?

Solution:

Quadrilateral ABCD is a parallelogram ..........Given

∴ Both pairs of opposite sides of a Parallelogram are congruent.

∴ AB = DC and AD = BC

substituting the values we get

$6x=x+15\\6x-x=15\\5x=15\\x=\dfrac{15}{5}\\ x=3\\and\\9=3y\\y=\dfrac{9}{3}\\ y=3$

substituting the x' and 'y' values we get

$AB= 6\times 3=18\\and\\BC=3\times 3=9$

Therefore the lengths of the opposite side pairs.

C) 18, 9

3 0

3 years ago

A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of

Stels [109]

Answer:

14.9 miles

Step-by-step explanation:

If the road was created, the 3 different roads would form a right triangle where the new road would be the hypotenuse and the other 2 roads would be the legs.

We can use the pythagorean theorem to find the length of the hypotenuse, or the new road:

a² + b² = c²

14² + 5² = c²

221 = c²

14.9 = c

= 14.9 miles

4 0

3 years ago

ANSWER THIS FAST<br> BRANLIEST IS ON THE LINE in

seraphim [82]

Answer:

Option A.) is correct $\triangle XYZ \sim \triangle WVZ$ by AA similarity. There are two angles that are congruent given by $\angle ZXY = \angle ZWV \hspace{0.2cm} and\hspace{0.2cm} \angle ZYX = \angle ZVW$ .

This is because both pairs represent alternate interior angles formed by lines intersecting two parallel lines.

Step-by-step explanation:

From the given figure we can say that

i) Option A.) is correct $\triangle XYZ \sim \triangle WVZ$ by AA similarity. There are two angles that are congruent given by $\angle ZXY = \angle ZWV \hspace{0.2cm} and\hspace{0.2cm} \angle ZYX = \angle ZVW$ .

This is because both pairs represent alternate interior angles formed by lines intersecting two parallel lines.

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3 years ago

. The diameter of Bubba's bubble is

Oksana_A [137]

Answer:

10.22

Step-by-step explanation:

2.45 * 10 =20.45 - 3.67 * 10 =30.67

30.67 - 20.45

30 - 20 = 10

.67 - .45 = .22

30.67 - 20.45 = 10.22

8 0

3 years ago

What is the weight, in Newtons, of a person on Earth whose mass is 90 kilograms? Gravity near the Earth's surface is 9.8 m/s2.

valentinak56 [21]

Answer:

W = 882 N

Step-by-step explanation:

Given that,

The weight of a person, W = 90 kg

The value of acceleration due to gravity, g = 9.8 m/s²

We need to find the weight of the person on Earth. The formula for the weight of an object is given by :

W = mg

Substitute all the values,

W = 90 kg × 9.8 m/s²

W = 882 N

So, the weight of the person is equal to 882 N.

8 0

3 years ago