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1 year ago

What is the surface area of the rectangular prism?

Mathematics

2 answers:

Sunny_sXe [5.5K]1 year ago

8 0

10cm is the correct answer

vagabundo [1.1K]1 year ago

3 0

10 cm is the correct answer

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Using the formula in model 1, choose the correct answers for the total amount and amount of interest earned in the following com

DIA [1.3K]

The total amount is $ 1015.82 and interest amount is $ 165.82

Solution:

The formula for amount when interest is compounded annually is:

$\mathrm{A}=P\left(1+r}\right)^{n}$

Where,

"A" is the total amount

"P" is the principal

"r" is the rate of interest in decimal form

"n" is the number of years

From given, $850 at 2% for 9 years, compounded annually

P = 850

t = 9 years

$r = 2 \% = \frac{2}{100} = 0.02$

Substituting the given values we get,

$A = 850(1+0.02)^9\\\\A = 850 \times 1.02^9\\\\A = 850 \times 1.1950\\\\A = 1015.82$

Thus total amount is $ 1015.82

Interest amount = Total amount - principal

Interest amount = 1015.82 - 850

Interest amount = 165.82

Thus total amount earned is $ 1015.82 and interest amount is $ 165.82

7 0

3 years ago

I don’t understand how to find the dimension, Need help :c

slava [35]

Width = W

Length = 2 times the width plus 3 feet = 2W + 3

Area of triangle A = L * W

A = W (2W + 3)

20 = 2W^2 + 3W

2W^2 + 3W - 20 = 0

(W + 4) (2W - 5) = 0

W + 4 = 0; W = - 4 (width cannot be negative, excluded)

2W - 5 = 0

2W = 5

W = 2.5

L = 2W + 3 = 2(2.5) + 3 = 8

Answer:

Width = 2.5 feet and Length = 8 feet

Hope it helps.

8 0

2 years ago

[(2x)^x (2x)^2x]^1/x how do you simplify this?

Monica [59]

Note that [ (2x)^x ]^(1/x) = 2x, and that [ (2x)^(2x) ]^(1/x) = (2x)^2 = 4x^2

Multiplying these 2 results together, we get (2x)(4x^2) = 8x^3 (answer)

5 0

3 years ago

Someone answer this please

lions [1.4K]

Answer:

$1,334.5 \: {cm}^{3}$

Step-by-step explanation:

Height of the cylinder h = 17 cm

Radius of the cylinder r = 5 cm

$V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(5)}^{2} \times 17 \\ \\ = 3.14 \times 25 \times 17 \\ \\V_{cylinder} = 1,334.5 \: {cm}^{3}$

7 0

3 years ago

Brainliest Award +100 Points for the first correct answer.

katen-ka-za [31]

Answer:

min = 64.2m ; max = 86.2m

Step-by-step explanation:

$38.25m \leq AC < 38.35m
\\ 11.5deg \leq B < 12.5deg
\\ 19.5deg \leq D < 20.5deg$

$d_{min} = BC_{LB} - CD_{UB}
\\ \\ d_{min} = \frac{AC_{LB}}{tan(B)_{UB}} - \frac{AC_{UB}}{tan(D)_{LB}}
\\ \\ d_{min} = \frac{38.25}{tan(12.5)} - \frac{38.35}{tan(19.5)}
\\ \\ d_{min} = 64.2m (3sf)$

$d_{max} = BC_{UB} - CD_{LB}
\\ \\ d_{max} = \frac{AC_{UB}}{tan(B)_{LB}} - \frac{AC_{LB}}{tan(D)_{UB}}
\\ \\ d_{max} = \frac{38.35}{tan(11.5)} - \frac{38.25}{tan(20.5)}
\\ \\ d_{max} = 86.2m (3sf)$

7 0

2 years ago