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Agata [3.3K]
3 years ago
8

Check out this right triangular prism: Find the surface area of the right triangular prism (above) using its net (below). units2

^22squared
Mathematics
1 answer:
RoseWind [281]3 years ago
7 0

Answer:

96 squared units

Step-by-step explanation:

Please find attached the diagram used in answering this question

The surface area is equal to the area of each shape

Area of a triangle = Area of a triangle = 1/2 x ( base x height)

1/2 x 2 x 3= 3

there are 4 triangles, area of both triangles = 3x4 = 12

Area of rectangle = length x width

Area of middle rectangle = 6 x 7 = 42

Area of two side rectangles = (3 +3) x 7 = 42

surface area = 42 + 42 + 12 = 96

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Which transformation changes triangle ABD to triangle A'B'C'?
VARVARA [1.3K]

Answer:

Mostly answer is A but am confused btwn A and D I'll let you know when I'm sure

4 0
2 years ago
Read 2 more answers
Mathematics Mh Slope
gizmo_the_mogwai [7]

Answer:y=-3x+4

Step-by-step explanation: use the y=mx+b equation.

6 0
3 years ago
Read 2 more answers
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to fi
Keith_Richards [23]

Answer:

P(X = 12) = 0.0064.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 30, p = 0.2

We want P(X = 12). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{30,12}.(0.2)^{12}.(0.8)^{18} = 0.0064

P(X = 12) = 0.0064.

6 0
3 years ago
Can someone help me please will give brainlist
nadya68 [22]

Answer:

A) it converges

B) 1998.047

C) 2000

d) The sum is getting smaller and smaller

Step-by-step explanation:

Formula: a_n+a_1*r^(r-1)

(1000*((0.5^10)-1))/(0.5-1)=1998.047

(1000*((0.5^30)-1))/(0.5-1)=2000

8 0
2 years ago
On the basis of data collected during an experiment, a biologist found that the growth of a fruit fly population (Drosophila) wi
Ket [755]

Answer:

(a). 15

(b). 78

Step-by-step explanation:

Growth of the population of a fruit fly is modeled by

N(t) = \frac{600}{1+39e^{-0.16t} }

where t = number of days from the beginning of the experiment.

(a). For t = 0 [Initial population]

N(0) = \frac{600}{1+39e^{-0.16\times 0} }

       = \frac{600}{1+39}

       = \frac{600}{40}

       = 15

Initial population of the fruit flies were 15.

(b).Population of the fruit fly colony on 11th day.

N(11) = \frac{600}{1+39e^{-0.16\times 11} }

       = \frac{600}{1+39e^{-1.76} }

       = \frac{600}{1+39\times 0.172 }

       = \frac{600}{1+6.71}

       = \frac{600}{7.71}

       = 77.82

       ≈ 78

On 11th day number of fruit flies colony were 78.

3 0
4 years ago
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