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Anna71 [15]
3 years ago
8

Work out the surface area of the solid cuboid H=2cm W=4cm L=5cm

Mathematics
1 answer:
Nitella [24]3 years ago
6 0

Answer:

total surface area = 76 sq.cm

Step-by-step explanation:

total surface area of cuboid = 2 ( lb + lh + bh )

( where l is length , b is width and h is height )

so, surface area :

= 2[ (5×4) + (5×2) + (2×4) ]

= 2 [ 20 + 10 + 8 ]

= 2 × 38

= 76 sq.cm

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slamgirl [31]
A) See the attached graph. The purple area appears to be what you want to find.

b) Integrating with respect to x seems much easier. If one were to integrate over y, there would need to be two regions of integration: [1, e^2] and [e^2, e^4].

c) \int\limits^1_0 {(e^{4x}-e^{2x})} \, dx =\frac{1}{4}(e^{4}-1) -\frac{1}{2}(e^{2}-1) \approx 10.2050094588

3 0
3 years ago
If a bird is on the ground, 7 ft away from a 10 ft tall tree, then what is the angle (to the
iren2701 [21]

Answer:

The angle is 55°

Step-by-step explanation:

To find the angle at which a bid is looking up on top of a tree that is 10feet tall if the bird is on the ground 7 feet away from the tree, we will follow the steps below:

we will use trigonometric ratio to find the angle

SOH CAH TOA

sinФ = opposite / hypotenuse

cosФ = adjacent / hypotenuse

tanФ = opposite /adjacent

from the diagram below, opposite = 10 feet   and   adjacent = 7 feet

the best trig.ratio to use is tan

tanФ = opposite /adjacent

tanФ = 10 /7

tan Ф =1.42857

to get the value of  Ф, we will take the tan⁻¹  of both-side

tan⁻¹ tan Ф = tan⁻¹ 1.42857

Ф= tan⁻¹ 1.42857

Ф≈55°

Therefore, the angle is 55°

4 0
3 years ago
5 (4^2)-6 (1+4)-(-3)
sashaice [31]
The answer is 53

Do what's inside parentheses first then add or subtract all the numbers together
7 0
3 years ago
A bank made a farmer loan of $1,000 at 14% for 3 years compounded annually. Find the future value and the compound interest paid
Anna11 [10]

Answer:

Principal =  $1,000

Rate of interest = 14% = 0.14

Time = 3 years

A= P(1+r)^t

A = Amount or future value

P = Principal

r = rate of interest in decimals

t = time

Substitute the values in the formula

A= 1000(1+0.14)^3

A=1481.544

Future Value is $1481.544

Compound interest = Amount - Principal = $1481.544- $1000 = $481.544

Formula of simple interest : SI =\frac{P \times R \times T}{100}

Substitute the values :

SI =\frac{1000 \times 14 \times 3}{100}

SI =420

So, Simple interest = $420

Compound interest - Simple interest

= $481.544- $420

= $61.544

So, Compound Interest is $61.544 more than simple interest.

8 0
3 years ago
Find the area and perimeter
artcher [175]

Answer:

Step-by-step explanation:

Add all 4 sides to get perimeter so the first one is 9+9+2+2=22cm

the area is length x width so the first one is 9 x 2 =18cm ^2

3 0
3 years ago
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