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3 years ago

Part a) Classify the figure Part b) Name the vertices, edges, and bases

Mathematics

1 answer:

steposvetlana [31]3 years ago

3 0

A) The figure is a rectangular-base pyramid (maybe square-base, but insufficient information to tell for sure).

b) Vertices: A, B, C, D, E
• Edges: AE, BE, CE, DE, AB, BC, CD, AD
• Bases: ABCD

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of the 75 boys in the 7th grade class, 25 participate in at least one sport . of the 120 girls in 7th grade class 30

hoa [83]

Answer:

"No, the relationship is NOT proportional"

Step-by-step explanation:

<u>Complete Question:</u>

Of the 75 boys in the 7th grade class, 25 participate in at least one sport. Of the 120 girls in 7th grade class 30 participate in at least one sport. Is this relationship proportional?

We have to see the ratio of each and if they are equal (after reducing), we can say they are proportional.

Boys:

25 participate in atleast 1 sport and there are total of 75. Hence, ratio is

25 : 75 = 1 : 3

Girls:

30 particiapte in atleast 1 sport and there are toal of 120. hence ratio is:

30 : 120 = 1 : 4

So, the relationship is NOT proportional

6 0

3 years ago

What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

telo118 [61]

Answer:

$f(x)=-\frac{1}{8}(x-3)^2+3$

Step-by-step explanation:

We want to find the equation of the parabola with a focus of $(3,1)$ and directrix $y=5$ .

Considering the directrix, the quadratic graph must open downwards.

The equation of this parabola is given by the formula,

$(x-h)^2=4p(y-k)$ , where $(h,k)$ is the vertex of the parabola.

The axis of this parabola meets the directrix at $(3,5)$ .

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,

$h=\frac{3+3}{2}=3$ and $k=\frac{5+1}{2}=3$ .

The equation of the parabola now becomes,

$(x-3)^2=4p(y-3)$ .

Also $|p|$ is the distance between the vertex and the directrix.

$|p|=2$

This implies that $p=-2\:or\:2$ .

Since the parabola turns downwards,

$p=-2$ .

Our equation now becomes,

$(x-3)^2=4(-2)(y-3)$ .

$(x-3)^2=-8(y-3)$ .

We make y the subject to get,

$y=-\frac{1}{8}(x-3)^2+3)$ .

This is the same as

$f(x)=-\frac{1}{8}(x-3)^2+3)$ .

4 0

2 years ago

Select steps that could be used to solve the equation 1 + 3x = -x + 4.

Tema [17]

For this case we have the following equation:

$1 + 3x = -x + 4$

We must solve the equation by following the steps below:

We subtract 1 from both sides of the equation:

$3x = -x + 4-1$

On the right side of the equation we have that different signs are subtracted and the sign of the major is placed:

$3x = -x + 3$

We add x to both sides of the equation:

$3x + x = 3\\4x = 3$

We divide between 4 on both sides of the equation:

$x = \frac {3} {4}$

Thus, the correct option is option B

Answer:

$x = \frac {3} {4}$

Option B

6 0

3 years ago

Read 2 more answers

An alligator's tail length, T, varies directly as its body length, B. An alligator with a body length of 4.5 feet has a tail

Amiraneli [1.4K]

If and only if it is a proportional relationship, the problem can be solved by creating a proportion of B1/T1=B2/T2. This can also be expressed as 4.5/3.5=5.4/x given the values. You must cross multiply, so 4.5x=3.5(5.4). This simplifies to x=4.2. So, the tail length would be 4.2 feet.

Hope this helps.

3 0

3 years ago

HELP!!!!

Likurg_2 [28]

Answer:

$(10+2p)/p=((20+0.80p)/p)+1$

Step-by-step explanation:

3 0

3 years ago