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3 years ago

Look at the figure. Classify the pair of angles: <2 and <7.

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

3 0

Answer:

Same-side exterior angles

Step-by-step explanation:

Through the process of elimination it is not:

→ Corresponding angles as that would be 2 and 6

→ Same side interior angles as that would be 3 and 6 or 4 and 5

→ Alternate interior angles as that would be 6 and 4 of 3 and 5

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Find the equation for the plane through the points Upper P 0 (4 comma 5 comma negative 3 )P0(4,5,−3), Upper Q 0 (1 comma 4 comm

alexira [117]

Answer:

4x -4y +z = -7

Step-by-step explanation:

The direction vector will be perpendicular to any/all vectors between the given points. It can be found, for example, using the cross product:

d = (P0Q0) × (P0R0) = (-3, -1, 8) × (-4, -3, 4)

The cross product can be computed by hand or by any of a number of calculators or web tools. Here it will be ...

d = (20, -20, 5)

These can be the coefficients of x, y, and z in the plane equation. However, the equation is better written using coefficients that are mutually prime, so we choose the direction vector to be ...

d = (4, -4, 1)

The constant C in the plane equation

d·(x, y, z) = C

will be the dot product of this direction vector (d) any any of the given points. Using R0, we find the constant to be ...

C = (4, -4, 1)·(0, 2, 1) = 4·0 +(-4)·2 +1·1 = -8+1 = -7

so, the plane equation is ...

4x -4y +z = -7

6 0

3 years ago

A central angle of a circle measures 1.5 radians. If the radius of the circle is 3 cm, what is the area of the related sector?

soldi70 [24.7K]

Answer:

Option B. $6.75\ cm^{2}$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=3\ cm$

substitute

$A=\pi (3^{2})=9 \pi\ cm^{2}$

Remember that

$2\pi$ radians subtends the complete circle of area $9 \pi\ cm^{2}$

by proportion

Find the area of the related sector for a central angle of $1.5$ radians

Let

x------> the area of the related sector

$\frac{9 \pi}{2\pi}\frac{cm^{2}}{radians} =\frac{x}{1.5}\frac{cm^{2}}{radians}\\ \\x=9*1.5/2\\ \\x= 6.75\ cm^{2}$

7 0

3 years ago

Suppose a certain character in a role-playing game has an ability to use in battles. When activated, the ability deals damage to

Helen [10]

Answer:

The chance of getting exactly 3 hits is = 0.20

Step-by-step explanation:

P.S - The exact question is -

As given,

F(x) = 0 , x < 1

0.30 , 1 ≤ x < 2

0.56 , 2 ≤ x < 3

0.76 , 3 ≤ x < 4

0.9 , 4 ≤ x < 5

1 , 5 ≤ x

Now,

f(x) = 0.30 , x = 1

0.56 - 0.30 = 0.26 , x = 2

0.76 - 0.56 = 0.20 , x=3

0.9 - 0.76 = 0.14 , x = 4

1 - 0.9 = 0.1 , x = 5

0, otherwise

Now,

The chance of getting exactly 3 hits is = f(x = 3) = 0.20

8 0

3 years ago

PLZ HELP I NEED TO TURN THIS IN TODAY

Cerrena [4.2K]

Answer:

The top one

Step-by-step explanation:

Just count how many are in each catagory

5 0

3 years ago

Read 2 more answers

Helpp me plz respond

spayn [35]

The ratio is 1:6 for this

6 0

3 years ago