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3 years ago

Please help, someone!

Mathematics

1 answer:

NISA [10]3 years ago

6 0

hey. I wish I could help but even me I'm not good at it. my cousin usually helps me do it but he's not around I'm sorry say.

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What is the surface area of the prism?

Sever21 [200]

Answer:

Question 3: 582 ft²

Question 4: 348 in²

Step-by-step Explanation:

Question 3:

Consider the solid shape given as being consisting of two rectangular prism. With careful examination, you'd observe that the offer one beneath has dimensions, $l, w, h, as 15, 4, 9$

The second one has $l, w, h, as 6, 4, 6$

Surface area of the bigger rectangular prism = total surface area - area of the surface that is joined to the smaller rectangular prism.

Area of the face joined to the smaller rectangular prism = 4*6 = 24 ft²

Surface area of the bigger rectangular prism = $2(wl + hl + hw) - 24$

$2(4*15 + 9*15 + 9*4) - 24$

$462 - 24$

Surface area of the bigger rectangular prism = 438 ft²

Surface area of the smaller rectangular prism = total surface area of rectangular prism - area of the surface that is joined to the bigger rectangular prism.

= $2(wl + hl + hw) - 24$

$= 2(4*6 + 6*6 + 6*4) - 24$

$= 168 - 24 = 144 ft^2$

Surface area of the solid = 438 + 144 = 582 ft²

Question 4:

Surface area of the triangular prism is given as: 2(B.A) + P*L

Where,

B.A = area of 1 triangular base = ½*height of the triangle*base of the traingle

B.A = ½*6*16 = 3*16 = 48 in²

P = perimeter of 1 triangular base = sum of all sides of the triangle.

P = 16+10+10 = 36 in

L = length or height of prism =

Plug in the values to find surface area of the prism

Surface area = 2(B.A) + P*L

= 2(48) + 36*7 = 96 + 252 = 348 in²

Surface area of prism = 348 in²

4 0

3 years ago

What is one root of this equation? 2x^-4x+9=0

Nutka1998 [239]

9514 1404 393

Answer:

1 +i√3.5

Step-by-step explanation:

In vertex form, the equation is ...

2(x² -2x +1) +7 = 0

2(x -1)² +7 = 0

Then the solutions are ...

(x -1)² = -7/2

x = 1 ±i√3.5

One solution is 1+i√3.5.

3 0

2 years ago

In the year 2019, Lee County used approximately 55 million gallons of water. Historical trends show that each year the water dem

Harlamova29_29 [7]

Answer:

Approximately 62 gallons of water will be used by Lee County by the year 2025.

Step-by-step explanation:

The amount, in millions gallons of water, spent by Lee County, in t years after 2019, is given by the following equation:

$P(t) = P(0)(1 + r)^{t}$

In which P(0) is the amount spent on 2019 and r is the increse rate, as a decimal.

In the year 2019, Lee County used approximately 55 million gallons of water.

This means that $P(0) = 55$

Historical trends show that each year the water demand is increasing by a rate of approximately 2.1%.

This means that $r = 0.021$

$P(t) = P(0)(1 + r)^{t}$

$P(t) = 55(1 + 0.021)^{t}$

$P(t) = 55(1.021)^{t}$

Approximately how many million gallons of water will be used by Lee County by the year 2025?

2025 is 2025 - 2019 = 6 years after 2019. So this is P(6).

$P(t) = 55(1.021)^{t}$

$P(6) = 55(1.021)^{6}$

$P(6) = 62.3$

Rounded to the nearest millions

Approximately 62 gallons of water will be used by Lee County by the year 2025.

3 0

3 years ago

I’m not sure how to do this can anyone help!!!!!

satela [25.4K]

9514 1404 393

Answer:

22/44

Step-by-step explanation:

The probability of black is the ratio of black cards to all cards. If the Ace and 2 are removed from each suit, there will be 11 of the 13 cards remaining. 2 suits are black, for a total of 2×11 = 22 black cards. Of course there are 4 suits altogether, for a total of 4×11 = 44 total cards. Then you have ...

P(black) = (black cards)/(total cards)

P(black) = 22/44

_____

You are expected to be familiar with the fact that a deck of 52 playing cards consists of 4 suits: diamonds, clubs, hearts, spades. Each suit has 13 cards, identified as Ace, 2, 3, ..., 10, Jack, Queen, King. The clubs and spades are black; the diamonds and hearts are red.

7 0

3 years ago

I need help with this math problem

solong [7]

Answer:

Step-by-step explanation:

Use PEMDAS

5^2 + 8 ÷ 2

25 + 8 ÷ 2

25 + 4

8 0

3 years ago

Please help, someone!​

Please help, someone!