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3 years ago

The perimeter of a rectangular painting is 262 centimeters. If the width of the painting is 59 centimeters, what is its length?

Mathematics

1 answer:

Liula [17]3 years ago

3 0

The formula of the perimeter of a rectangle is 2l+2w so look at the photo

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A stand is a frustum shape, formed by removing a small square-based pyramid from the top of

kupik [55]

The frustum can be considered as consisting of a square pyramid, less the

cut volume.

The mass of the stand, is approximately 18.60905 kg

Reasons:

The given parameter of the frustum are;

The density of the frustum, ρ = 85 g/cm³

Height of pyramid, h = 9 cm

Side length of base = 10 cm

Height of frustum

By proportional shapes, the side length of the top of the frustum can be found as follows;

$\dfrac{4 \, cm}{9 \, cm} = \dfrac{x}{10 \, cm}$

$x = \dfrac{4 \, cm}{9 \, cm} \times 10 \, cm = 4\frac{4}{9} \, cm$

$V = \dfrac{h}{3} \times \left(B_1 + B_2 + \sqrt{B_1 \times B_2} \right)$

B₁ = 10², B₂ = $\left(4\frac{4}{9} \right)^2$

Therefore;

$V = \dfrac{4}{3} \times \left(10^2 + \left(4\frac{4}{9} \right)^2 + \sqrt{10^2 \times \left(4\frac{4}{9} \right)^2} \right) \approx 218.93$

The volume of the stand, V ≈ 218.93 cm³

Mass = Volume × Density

∴ Mass of the stand, m = 218.93 cm³ × 85 g/cm³ = 18,609.05 grams = 18.60905 kg.

Learn more here:

brainly.com/question/24323975

8 0

3 years ago

PLZ HELP I WILL GIVE BRAINLIEST...

Delicious77 [7]

Answer:

a. 6

b. 7

c. (b) Kira's

why? b. it has the large sample size

Step-by-step explanation:

7 0

3 years ago

What does not represent the quotient of 17 divided by 10?

amm1812

17-10= j i really don't know i just guessed

7 0

3 years ago

In order to estimate the average time spent on the computer terminals per student at a local university, data were collected fro

Ksju [112]

Answer:

d. 0.133

Step-by-step explanation:

-Standard error is calculated using the formula:

$E=\frac{\sigma}{\sqrt{n}}\\\\\sigma-=standard \ deviation\\n=sample \ size$

#We substitute the given values in the formula to solve for E:

$E=\frac{\sigma}{\sqrt{n}}\\\\=\frac{1.2}{\sqrt{81}}\\\\=0.133$

Hence, the standard error is 0.133 and the correct option is d

7 0

3 years ago

HELPPPPPPPPPPPPPPPPPPPPPPPP

matrenka [14]

If 3 = $m^x$ , then we know 9 = $(m^x)^2$ because 9 is 3 squared.

$(m^x)^2$ can be simplified to $m^{2x}$

So now we know $9m^2$ = $m^{2x}$ · $m^2$

Since $m^{2x}$ and $m^2$ have the same base, we can express it as a single term by adding the exponents together.

So the answer is C) $m^{2x+2}$

3 0

3 years ago