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3 years ago

9

Charmaine needs to memorize words on a vocabulary list she memorized 30 of the words which is five -sixth of the list how many w

ords are on the list

1 answer:

yulyashka [42]3 years ago

4 0

30 = 5/6 of x
30 = 5/6 (x)
30 ÷ 5/6 = x
30 × 6/5 = x
180/5 = x
36 = x

36 words on the list

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A storage shed is to be built in the shape of a (closed) box with a square base. It is to have a volume of 150 cubic feet. The c

Alenkinab [10]

Answer:

$C(s) = 6s^2 + \dfrac{1500}{s}\\\text{where s is the side of base.}$

Step-by-step explanation:

We are given the following in the question:

A storage shed is to be built in the shape of a (closed) box with a square base.

Volume = 150 cubic feet

Let s be the edge of square base and h be the height.

Volume of cuboid =

$l\times b\times h$

where l is the length, b is the base and h is the height.

Volume of box =

$s^2h = 150\\\\h = \dfrac{150}{s^2}$

Area of base =

$\text{side}\times \text{side} = s^2$

Cost of concrete for the base = $4

Cost of base($) = $4s^2$

Area of roof =

$\text{side}\times \text{side} = s^2$

Cost of material for the roof = $2

Cost of roof ($) = $2s^2$

Area of 4 walls =

$4\times (sh)\\=4sh$

Cost of material for the side = $2.50

Cost of material of side($) =

$2.50\times 4s(\dfrac{150}{s^2})\\\\=\dfrac{1500}{s}$

Total cost

= Cost of base + Cost of 4 sides + Cost of roof

$C(s) = 4s^2 + \dfrac{1500}{s} + 2s^2\\\\C(s) = 6s^2 + \dfrac{1500}{s}$

is the required cost function.

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3 years ago

Complete the table below to classify the triangles as scalene or isosceles.

Dmitry_Shevchenko [17]

First two are scalene last one is isosceles.

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3 years ago

8 m<br> 3 m<br> 5 m<br> 2 m<br> 3 m<br> 9 m<br> 8 m

Andrew [12]

Answer:

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2 years ago

Find the volume of this sphere.

Sholpan [36]

<h3>Calculate the volume of the sphere</h3>

To start finding the volume of this sphere, we get the following data:

π = 3
r = 2 ft²

To find the volume we apply the following formula:

$\boldsymbol{\sf{V= \dfrac{3}{4}\pi r^{2} }}$ , where

v = volume
π = pi
r = radius

We substitute our data in the formula and solve:

Substituting values into the equation

$\boldsymbol{\sf{V=\dfrac{3}{4}*3*(2 \ ft)^{3} }}$

Calculate exponent cubed

$\boldsymbol{\sf{V=\dfrac{3}{4}*3*8 \ ft^{3} }}$

Multiplying

$\boxed{\boldsymbol{\sf{V=32 \ ft^{3} }}}$

Therefore, the volume of the sphere is 32 ft³.

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2 years ago

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tammy is 14 years old. she has a younger sister and an older brother. her sister is 12. the mean of all their ages is 14. how ol

mafiozo [28]

Answer:

16

Step-by-step explanation:

To solve, we can use an equation finding the average of the siblings'ages.

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3 years ago