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2 years ago

Find the surface area of the net below.

Mathematics

1 answer:

dedylja [7]2 years ago

5 0

Answer:

472 in²

Step-by-step explanation:

This net is made up of 3 identical rectangles and 2 identical triangles.

Area of a rectangle = width x length

Area of a triangle = 1/2 x base x height

Rectangle

width = 8 in
length = 19 in

Triangle

base = 8 in
height = 2 in

Surface Area

SA = 3(8 x 19) + 2(0.5 x 8 x 2)

⇒ SA = 456 + 16

⇒ SA = 472 in²

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Cade and Tyce both tried to find the missing side of the right triangle. A right triangle is shown. The legs are labeled 6 and 9

Talja [164]

Step-by-step explanation:

Two legs of the right triangle are 6 and 9. We can find its third side as follows :

$a^2+b^2=c^2$

The above is called Pythagoras theorem and it is applicable for a right angled triangle.

a,b and c are base, perpendicular and hypotenuse respectively

c is the third side

So,

$c^2=6^2+9^2\\\\c=\sqrt{117} \\\\c=10.816\approx 10.82$

Hence, Cade and Tyce both are correct. The length of the missing side is 10.82

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3 years ago

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What is the constant of proportionality in the table below?

kenny6666 [7]

Answer: $\dfrac{2}{5}$

Step-by-step explanation:

The constant of proportionality 'k' between two variables ( one independent and one dependent ) is given by :-

$k=\dfrac{\text{Value of dependent variable}}{\text{Value of independent variable}}$

In the given table, independent variable = Days

Dependent variable = Total Miles

From first row, Days = 3

Total Miles = $1\dfrac{1}{5}=\dfrac{6}{5}$

Then, the constant of proportionality in the table

$k=\dfrac{\dfrac{6}{5}}{3}=\dfrac{6}{5\times3}=\dfrac{2}{5}$

Hence, the constant of proportionality in the table is $\dfrac{2}{5}$ .

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3 years ago

Eugene had $24 to spend on three pencils.

TiliK225 [7]

Each pencil costs $2

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3 years ago

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Find the percentage of vacationers from question 10 who spent between $1500 and $2000.

mars1129 [50]

Answer:

The percentage change of vacationers is 33.3 %

Step-by-step explanation:

Given as :

The old value of the vacationers = $ 1500

The new value of the vacationers = $ 2000

Let the percentage variation = x %

Or, x % increase = $\dfrac{\tyextrm new value - \textrm old value}{\textrm old value}$ × 100

Or, x % increase = $\dfrac{\tyextrm $ 2000 - \textrm $ 1500}{\textrm $ 1500}$ × 100

Or, x % increase = $\frac{500}{1500}$ × 100

Or, x % increase = $\frac{1}{3}$ × 100

Or, x % increase = $\frac{100}{3}$

∴ x = 33.3 %

So, The percentage increase change is 33.3 %

Hence The percentage change of vacationers is 33.3 % Answer

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3 years ago

For the model to be to scale, the ratio of the height to the side length should be the same for both the actual pyramid and the

Alex787 [66]

Answer: yes it’s close

Step-by-step explanation:

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3 years ago

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