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galina1969 [7]
2 years ago
13

Vertical plane X intersects horizontal plane Y. Point D is on the left half of plane Y. Point F is on the bottom half of plane X

. Point E is on the right half of plane Y. Point C is above and to the right of the planes.
Which statement is true about the points and planes?

The line that can be drawn through points C and D is contained in plane Y.
The line that can be drawn through points D and E is contained in plane Y.
The only point that can lie in plane X is point F.
The only points that can lie in plane Y are points D and E.
Mathematics
1 answer:
Evgen [1.6K]2 years ago
5 0

Answer: The line that can be drawn through points D and E is contained in plane Y.

Step-by-step explanation:

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The fastest car on Earth, the Thrust SSC, would win every NASCAR race in America if it broke the rules. If it takes 0.5 hours to
kvv77 [185]

Answer:

760 miles per hour

Step-by-step explanation:

since it travels 380 miles in half an hour, multiply by two to see the answer

4 0
3 years ago
The volume of a cone is 50 pi cubic feet. Its height is 6 feet. In feet, what is the radius of the cone? Round the answer to the
defon

Answer:

Radius= 5.0ft ( given)

Step-by-step explanation:

Given: Volume of cone= 50π ft^3

Height of cone= 6ft

Required: Radius

Volume of cone= 1/3 * π * r^2 *h

(or)

r^2= Volume *3/h π ( Just disintegrating the formula and taking radius^2 to the left hand side(L.H.S) )

= (50 π *3)/(6)π

= 50/2 (because, 3 π /6 π = 1/2)

r^2 = 25

now, r =√25= 5.0 ft

Therefore, the radius of the cone is 5.0 ft(to the nearest tenth) :)

8 0
3 years ago
Read 2 more answers
The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 2 and a root of multiplicity 1 at x = − 3 . The y -in
lesya [120]

Answer:

P ( x ) = -0.7 (x - 2)²(x + 3)

Step-by-step explanation:

<u>We are given</u> :

P ( x ) , has a root of multiplicity 2 at x = 2

and a root of multiplicity 1 at x = − 3

Then

P ( x ) = a (x - 2)²(x + 3)  ; where ‘a’ is a real number.

P ( x ) = a (x - 2)²(x + 3)

= a (x² - 4x + 4)(x + 3)

= a [x³ - 4x² + 4x + 3x² - 12x + 12]

P (0) = -8.4

⇔ a [(0)³ - 4(0)² + 4(0) + 3(0)² - 12(0) + 12] = -8.4

⇔ 12 a  = -8.4

⇔  a  = (-8,4) ÷ 12

⇔  a  = -0,7

<u>Conclusion</u> :

P ( x ) = -0.7 (x - 2)²(x + 3)

4 0
2 years ago
For a circle with a radius of 6 feet, what is the measurement of the central angle (in degrees) that intercepts an arc with a le
makkiz [27]

Answer:

135 degrees

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

C=2\pi r

we have

r=6\ ft

substitute

C=2\pi (6)

C=12\pi\ ft

step 2

Remember that the circumference of the circle subtends a central angle of 360 degrees

so

using proportion

Find out the measurement of the central angle (in degrees) that intercepts an arc with a length of 9π/2 ft

\frac{12\pi}{360^o}=\frac{(9\pi/2)}{x}\\\\x=360(9\pi/2)/12\pi\\\\x=135^o

3 0
3 years ago
Cuidadosamente, Severina, a empregada dos “Silva” arruma uma bela cesta de maçãs. O patriarca ao ver as maçãs toma para si 1/6 d
sveticcg [70]

There was a total of 18 apples

<u>Step-by-step explanation:</u>

Let us consider the total no. of apples be 'a'.

Patriarca took 1/6 of the apples. So the remaining apples is,

   a - (1/6) a= (5/6) a

Step 1:

His wife takes (1/5) of the rest of the apples. So after she takes the apples the remaining apples will be,

   (5/6) a - (1/5) (5/6) a

   (5/6) a - (1/6) a = (4/6) a

Step 2 :

Her elder son takes (1/4) of the remaining apples. So,

   (4/6) a - (1/4) (4/6) a

   (4/6) a - (1/6) a = (3/6) a

Step 3:

Middle son takes (1/3) of the remaining apples. So,

   (3/6) a - (1/3) (3/6) a

   (3/6) a - (1/6) a = (2/6) a

Step 4:

Younger son takes (1/2) of the remaining apples. So,

   (2/6) a - (1/2) (2/6) a

   (2/6) a - (1/6) a = (1/6) a

After work she takes the remaining 3 apples. So the remaining apples were 3

So,

   (1/6) a = 3

       a = 3 x 6

      a = 18 apples

There were a total of 18 apples.

7 0
3 years ago
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