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3 years ago

Find the surface area of the triangular prism shown below .

Mathematics

1 answer:

Wewaii [24]3 years ago

7 0

Answer:

the surface area should be 544 (whatever the unit is)

Step-by-step explanation:

You start by taking the rectangles on the side and finding their area.

1. (10×14)×2 ←Because there are two rectanglular sides.

2. find the area of the triangles on the side. 1/2bh = area of triangle.

(.5×8×6)×4 ← in order to find the area for all of the triangles.

3. lastly take the base of the prism and find the area then add the previously found values together.

(12×14)+(.5×8×6)×4+ (10×14)×2 = 544

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A new surgical procedure is said to be successful 60% of the time. Suppose the operation is performed five times and the results

USPshnik [31]

Answer:

0.07776, 0.3456,0.08704

Step-by-step explanation:

Given that a new surgical procedure is said to be successful 60% of the time

Let X be the no of successes

Then X has only two outcomes and each trial is independent of the other

Hence X is binomial with p = prob of success in a single trial = 0.60

n = Number of operations performed = 5

Prob that

a) all five operations are successful =

$P(X=5)\\= (0.6)^5\\=0.07776$

(b) exactly three are successful

= $P(X=3) = 5C3 (0.6)^3(0.4)^2\\= 0.3456$

$==P(X$

3 0

3 years ago

WILL GIVE BRAINLIEST!! What are the slope and the y-intercept of the linear function that is represented by the graph?

UNO [17]

Answer:

its d

Step-by-step explanation:

y=-3/4+3 I think that's right

3 0

3 years ago

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What is the correlation

RideAnS [48]

Answer:

type=positive

Correlation refers to the degree of correspondence or relationship between two variables.

8 0

3 years ago

Measuring and arcs.

n200080 [17]

Answer:

Hope this helps

Step-by-step explanation:

3. Minor arc, 44°

4. Major arc, 140°

5. Minor arc, 44°

6. Major arc, 316°

7. Semi circle, 180°

8. Major arc, 140°

9. 38°

10. 52°

11. 142°

12. 128°

13. 232°

14. 308°

7 0

3 years ago

Find the solution set of this inequality|10x+20| ≤10

Pavlova-9 [17]

Answer:

solution is

[-3,-1]

Step-by-step explanation:

we are given

$|10x+20|\leq 10$

Firstly, we will find critical values

so, let's assume it is equal

$|10x+20|= 10$

now, we can break absolute sign

For $|10x+20|= -(10x+20)$ :

$-(10x+20)= 10$

we can solve for x

$-10x-20= 10$

Add both sides by 20

$-10x-20+20= 10+20$

$-10x= 30$

Divide both sides by -10

and we get

$x=-3$

For $|10x+20|= (10x+20)$ :

$(10x+20)= 10$

we can solve for x

$10x+20= 10$

Subtract both sides by 20

$10x+20-20= 10-20$

$10x= -10$

Divide both sides by 10

and we get

$x=-1$

so, critical values are

$x=-3$

$x=-1$

now, we can draw a number line and locate these values

and then we can check inequality on each intervals

For $(-\infty,-3)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-5

$|10\times -5+20|\leq 10$

$|-50+20|\leq 10$

$30\leq 10$

so, this is FALSE

For $[-3,-1]$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-2

$|10\times -2+20|\leq 10$

$|-20+20|\leq 10$

$0\leq 10$

so, this is TRUE

For $(-1,\infty)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=0

$|10\times 0+20|\leq 10$

$|0+20|\leq 10$

$20\leq 10$

so, this is FALSE

so, solution is

[-3,-1]

7 0

3 years ago