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2 years ago

What are two ways you can find the surface area of a prism?

2 answers:

5 0

1. If the matching ends are triangles, find the area of the triangle (A=1/2bh)
2. If Matching ends are rectangles/squares, find the area of the rectangle/square (bh)
Hope that was helpful!!!

Fiesta28 [93]2 years ago

4 0

The total surface area of a prism is the sum of the area of all of its sides.

The surface area = (2 * area of base) + (perimeter of base * height)

If the base is a rectangle or square you can use this formula:
SA = 2LW + 2(L+W)H = 2LW + 2HL + 2HW = 2(LW + LH + HW)

If the base is a circle, use this formula:
SA = 2πr² + 2πrh

If the base is a triangle, this formula will come in handy:
SA = bh + ( $\sf{s_1 + s_2 + s_3}$ )h
where s₁, s₂, and s₃ are the three sides of the triangle.

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The function f(x)=1+1.5ln(x+1) models the average number of free-throws a basketball player can make consecutively during practi

UNO [17]

Answer:

402 days.

Step-by-step explanation:

f(x)=1+1.5ln(x+1)

When f() = 10 we have:

10 = 1 + 1.5ln (x + 1)

ln (x + 1) = (10-1) / 1.5 = 6

x + 1 = e^6

x = e^6 - 1 = 402.4.

8 0

2 years ago

75,4,3,100 form of proportion<br><br>

Oksi-84 [34.3K]

Answer:

75/4=3/100

Step-by-step explanation:

sinple this is on proportion

if you want crisscross the fraction

5 0

2 years ago

I need help figuring out the answers for this

Gennadij [26K]

<h2>Step-by-step explanation:</h2>

Interest, is an additional money paid for borrowing money. it could be simple or compound interest.

simple interest= p×T×R/100

when interest is compounded annually

F= p(1+r)^t

F= future value

p= principal

r= rate

t= time

compound interest is calculated based on the initial and accumulated interest.

<h2>interest Linda earns</h2><h3>fist year</h3>

F= p(n+r)^n

F= 10000(1+0.02)^1

F= 10000×1.02= $10200

interest= 10200-10000

interest = $200

second year

F = 10200(1+0.02)^1

F=10200×1.02= $10404

Interest= 10404-10200

interest= $204

third year

F= 10404(1+0.02)^1

F= 10404(1.02)

F = $10612.08

interest= 10612.08-10404

interest= $208.08

<h2>Bob's interest</h2><h2>I= p×t×R/100</h2>

first year

I=10000×1×0.02/100

interest= $2

second year

I= 10000×2×0.02/100

interest= $4

for the third year

I =10000×3 × 0.02/100

interest= $6

<h2>check answer above for final computation</h2>

6 0

1 year ago

The length of a rectangle is 9 centimeters more than half

Sedaia [141]

Answer:

l = 16 cm

Step-by-step explanation:

Let's set the width of the rectangle as "w" and the length of the rectangle as "w/2 + 9".

The perimeter of a rectangle is calculated by adding up the value of all of its side lengths. Therefore, we can find the perimeter using 2l + 2w = P.

We can substitute 60 for P and w/2 + 9 for l.

2(w/2 + 9) + 2w = 60
2w/2 + 18 + 2w = 60
w + 18 + 2w = 60
3w + 18 = 60
3w = 42
w = 14

Substitute w = 14 into the equation for length l.

l = w/2 + 9
l = 14/2 + 9
l = 16

The length of the rectangle is 16 cm.

4 0

2 years ago

The Varners live on a corner lot. Often children cut across their lot to scar walking distance. The diagram to the right represe

icang [17]

About 12.56 units.
Solve for x by plugging in values into Pythagorean theorem.
$a^{2} +b^{2} = c^{2}$
$x^{2} +(x+12)^{2} = 34^{2}$
Simplify
$2x^{2} + 24x+144 = 1156$
Subtract 144 from both sides
$2x^{2} + 24x = 1012$
divide both sides by 2
$x^{2} + 12x = 506$
complete the square
$x^{2} + 12x + 36 = 506 +36 . = (x+6)^2 = 542$
take the square root of both sides.
$x+6 = 23.28$
subtract by 6 to get about 17.28 for x.
Plug in values for x to get distance traveled on outside of the yard.
17.28 + (17.28 +12) = 46.56
subtract 34 from the length to get the difference in travel. 46.56-34=12.56

8 0

3 years ago