Changing Dimensions of 3-D Figures

1 answer:

4 0

The prisms are congruent if the lengths of corresponding edges are in a 1:1 ratio, the volumes and the base areas are equal and the prisms have same height

Step-by-step explanation:

For the two prisms to be congruent the following properties should hold TRUE

The lengths of corresponding edges are in a 1:1 ratio.

The volumes are equal.

The base areas are equal.

The prisms have the same height.

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Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=4/3 x

Mrac [35]

Answer:

$y=\frac{3}{4}x-1$

Step-by-step explanation:

Since we're looking at perpendicular lines, the slope of the new line is the reciprocal of the original line.

So the slope of our new line is $\frac{3}{4}$

So far, we are looking at $y=\frac{3}{4} x+b$

Now we need to find the b value by plugging in the given point.

$2=\frac{3}{4}(4)+b\\ 2=3+b\\ b=-1$

So the final equation is $y=\frac{3}{4}x-1$

8 0

3 years ago

Which one is the answer for these qution 4x=5(9x+2) A)5/2 B)41/10 C)-10/41 D)10/41

stealth61 [152]

C. -10/41

First use the distributive property to get 4x = 45x + 10
Use subtraction on both sides by 10
Again use subtraction of 4x on both sides
You now have -10 = 41x
Use division to get x alone and you now have -10/41 = x

5 0

3 years ago

Consider the probability that exactly 20 out of 309 people will get the flu this winter. Choose the best description of the area

noname [10]

Answer:

The distribution of proportion of people who will get the flu this winter is N (0.065, 0.014²).

Step-by-step explanation:

Let X = number of people who will get flu this year.

The sample selected is of size, n = 309.

The number of people who will get flu in this sample is, x = 20.

Compute the sample proportion of people who will get flu as follows:

$p=\frac{x}{n}=\frac{20}{309}=0.065$