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konstantin123 [22]
3 years ago
8

Which label on the cone below represents the vertex? A cone. A is the base, C is the center of the base, B is the height, and D

is the vertex. A B C D
Mathematics
2 answers:
melamori03 [73]3 years ago
6 0

Answer:

A cone and a cylinder have the same base and height, as shown below.

A cone is inside of a cylinder with same base and height.

The volume of the cylinder is 84 pi inches squared What can be concluded about the volume of the cone? Check all that apply.

The volume of the cone is One-third the volume of the cylinder.

The volume of the cylinder is 2 times the volume of the cone.

The volume of the cone is less than the volume of the cylinder.

Step-by-step explanation:

GaryK [48]3 years ago
4 0

Answer:

a

Step-by-step explanation:

My teacher helped me with the test

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Which expression is equivalent to − 5 6 (x − 1 2 y + 12)? A) 5 6 x + 5 12 y − 10 B) 5 6 x + 5 12 y + 12 C) − 5 6 x + 5 12 y − 10
navik [9.2K]

Answer:

Option A - -\frac{5}{6}(x-\frac{1}{2}y+12)=-\frac{5}{6}x+\frac{5}{12}y-10

Step-by-step explanation:

Given : Expression -\frac{5}{6}(x-\frac{1}{2}y+12)

To find : Which expression is equivalent to given expression ?

Solution :

Expression -\frac{5}{6}(x-\frac{1}{2}y+12)

Applying distributive property, a(b+c)=ab+ac

-\frac{5}{6}(x-\frac{1}{2}y+12)=-\frac{5}{6}x-(-\frac{5}{6})(\frac{1}{2}y)+(-\frac{5}{6})(12)

-\frac{5}{6}(x-\frac{1}{2}y+12)=-\frac{5}{6}x+\frac{5}{12}y-10

Therefore, option A is correct.

7 0
2 years ago
The length of a rectangle is 3 less than 2 times its width. The area of the rectangle is 77 squared feet.
larisa86 [58]

Answer:

Let the Width(W) =X feet

then Length(L) = (2X-3)feet

Area of the rectangle (A)=77 square feet

A = L× W

L×W=A

(2X-3) × X = 77

2X²- 3X =77

2X²-3X -77=0

Solving it using the factorization method

2X²-14X+11X-77=0

(2X²-14X)+(11X-77)=0

2X(X-7) + 11(X-7)=0

(2X+11)(X-7) =0

When 2X+11=0

X= -11/2

When X-7=0

X = 7

Therefore X= 7

Width = X feet

= 7feet

The width is 7feet

Length = (2X-3)feet

= (2×7) -3)feet

=(14-3)feet

=11feet

3 0
2 years ago
HELP Use either law of sines or law of cosine. Need help on this problem! show work please!​
Marina86 [1]

Answer: x = 15.035677095729 approximately

Round this however you need to.

=================================================

Explanation:

I'm assuming you want to find the value of x, which your diagram is showing to be the length of segment QR.

If so, then we'll need to find the measure of angle Q first. Using the law of sines, we get the following:

sin(Q)/q = sin(R)/r

sin(Q)/PR = sin(R)/PQ

sin(Q)/13 = sin(85)/19

sin(Q) = 13*sin(85)/19

sin(Q) = 0.6816068987

Q = arcsin(0.6816068987) ... or ... Q = 180-arcsin(0.6816068987)

Q = 42.9693397461 ... or ... Q = 137.0306602539

These values are approximate.

----------------

Now if Q = 42.9693397461 approximately, then angle P is

P = 180-Q-R

P = 180-42.9693397461-85

P = 52.0306602539

Similarly, if Q = 137.0306602539 approximately, then,

P = 180-Q-R

P = 180-137.0306602539-85

P = -42.0306602539

A negative angle is not possible, so we'll ignore Q = 137.0306602539

----------------

The only possible value of angle P is approximately P = 52.0306602539

Let's apply the law of sines again to find side p, aka segment QR

sin(P)/p = sin(R)/r

sin(P)/QR = sin(R)/PQ

sin(52.0306602539)/x = sin(85)/19

19*sin(52.0306602539) = x*sin(85)

19*sin(52.0306602539)/sin(85) = x

x = 15.035677095729

This value is approximate.

Round this value however you need to.

4 0
2 years ago
Read 2 more answers
the odds in favor of frank mckinnis winning a hot dog eating contest are 2:9the odds in favor of frank mckinnis winning a hot do
Ivahew [28]

Answer:

Consider the complete question is,

'The odds in favor of frank McKinney winning a hot dog eating contest are 2:9,

  • Determine the probability that Frank will win the contest,
  • Determine the probability that Frank will not win the contest'

Solution :

We know that,

Odds in favor : the ratio of the number of ways that an outcome can occur compared to how many ways it cannot occur.

We have,

\frac{\text{Number of ways of winning the contest}}{\text{Number of ways of not wining the contest}}=\frac{2}{9}

So, total outcomes = 2 + 9 = 11,

\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}

Thus, the probability that Frank will win the contest = \frac{2}{11}

And,

The probability that Frank will win the contest = \frac{9}{11}

5 0
3 years ago
Read 2 more answers
R is inversely proportional to A.
hjlf

Here are the answer: a) R = 3.6 and b) A = 2

Step-by-step explanation:

Given,

R is inversely proportional to A.

R ∝ \frac{1}{A}

so, R = \frac{k}{A}  -------eq 1 where k is any constant

To find the values of a) R when A = 5 and

b) Value of A when R = 9

Now,

Putting R = 12 and A = 1.5 in eq 1 we get,

12 = \frac{k}{1.5}

or, k = 12×1.5 = 18

From eq 1 we get,

R = \frac{18}{A} --------- eq 2

Now,

a) Putting A= 5 in eq 2 we get,

R = \frac{18}{5} = 3.6

b)  Putting R = 9 in eq 2 we get

R = \frac{18}{A}

or, A = \frac{18}{9} = 2

5 0
3 years ago
Read 2 more answers
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