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3 years ago

Find the value of x to the nearest tenth.

Mathematics

1 answer:

Shalnov [3]3 years ago

7 0

Answer:

x=14.7

Step-by-step explanation:

use the law of sines

sinA = sinB= sinC

------ ------ ------

a b c

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3 years ago

A written explanation solving the question how much fluid is needed using the Pythagorean method and finding the area of the tri

Alecsey [184]

Answer:

793 liters of washing fluid is needed

Step-by-step explanation:

step 1

Find the slant height of the triangular faces of pyramid

we know that

The lateral area of a square pyramid is equal to the area of its four triangular faces

$LA=4[\frac{1}{2}bl]$

where

b is the base of triangle (is the same that the length of the square base)

l is the slant height

To find out the slant height we need to apply the Pythagorean Theorem

$l^2=(b/2)^2+h^2$

we have

$b=35.42\ m$

$h=21.64\ m$

substitute

$l^2=(35.42/2)^2+21.64^2$

$l^2=781.9337$

$l=27.96\ m$

step 2

Find the lateral area of the pyramid

$LA=4[\frac{1}{2}bl]$

we have

$l=27.96\ m$

$b=35.42\ m$

substitute

$LA=4[\frac{1}{2}(35.42)(27.96)]$

$LA=1,980.6864\ m^2$

step 3

Find out how much window washing fluid is needed

we know that

2 L of washing fluid cover 5 square meters

using proportion

$\frac{2}{5}\ \frac{L}{m^2}=\frac{x}{1,980.6864}\ \frac{L}{m^2}\\\\x=1,980.6864(2)/5\\\\x= 792.27\ L$

Round up

793 liters of washing fluid is needed

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3 years ago

Evaluate the given integral by making an appropriate change of variables, where r is the rectangle enclosed by the lines x - y =

vova2212 [387]

$\begin{cases}u=x-y\\v=x+y\end{cases}$

$\mathbf J=\dfrac{\partial(u,v)}{\partial(x,y)}=\begin{bmatrix}\dfrac{\partial u}{\partial x}&\dfrac{\partial u}{\partial y}\\\\\dfrac{\partial v}{\partial x}&\dfrac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&-1\\1&1\end{bmatrix}$
$\implies\det\mathbf J=2$

The area of the region is then given by

$\displaystyle\iint_R\mathrm dA=\int_{u=0}^{u=7}\int_{v=0}^{v=6}2\,\mathrm dv\,\mathrm du=84$

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3 years ago

Find the unit rate.<br> 100 cupcakes in 10 boxes<br> cupcakes per box

stellarik [79]

Answer:

<h2>hope it helps you </h2><h2>mark as brainlist </h2>

Step-by-step explanation:

100/10=10

8 0

3 years ago

Read 2 more answers