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KengaRu [80]
3 years ago
11

What is the surface area of the triangular prism?

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
3 0

Answer:

300yd²

Step-by-step explanation:

Surface Area = area of triangles *2 + area of thhe 3 rectangles

SA= 2*( 9*4/2) + 5*12 + 8*12 + 9*12=  2*18 +5*12 + 8*12 + 9*12 =

36+60+96+108 = 300

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The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9
mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em>h(t)<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>h(t) = 3 +90\cdot t -16\cdot t^{2}<em>, where </em>t<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

3+90\cdot t -16\cdot t^{2} = 84

16\cdot t^{2}-90\cdot t +81 = 0 (1)

By Quadratic Formula:

t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}

t_{1} = 4.5\,s, t_{2} = 1.125\,s

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

3 0
3 years ago
I know I haven't been on this app for a long time but can ya'll help me plzz
nexus9112 [7]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. A sandwich costs $2, and hot
Morgarella [4.7K]

A. Solution set is in the attachment (dark green shading in the middle)

B. Yes, 2(5) + 3(1) ≤ 15; 13 is less than or equal to 15

5 + 1 > 3, 6 is greater than 3

C. (4, 2) means that he buys 4 sandwiches and 2 hot lunches

7 0
3 years ago
In a random sample of 75 individuals, it was found that 52 of them prefer coffee to tea. What is the margin of error for the tru
Ugo [173]
0.106 is the answer

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4 0
3 years ago
What is the midpoint of the line segment with endpoints (1,-6) and (-3,4)?
kirill115 [55]

Answer:

(-1,-1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2

(1+-3)/2 = -2/2 = -1

To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2

(-6+4)/2 = -2/2 = -1

(-1,-1)

8 0
3 years ago
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