Answer:

Step-by-step explanation:
<h3><u>Given:</u></h3>
θ = 71°
Adjacent = AB = 6.3 cm
<h3><u>Required:</u></h3>
Hypotenuse = BC = ?
We will use the trigonometric ratio of cos.
![\displaystyle cos \theta = \frac{Adjacent}{Hypotenuse} \\\\cos \ 71 = \frac{6.3}{BC} \\\\0.33 = \frac{6.3}{BC} \\\\BC =\frac{6.3}{0.33} \\\\\boxed{BC = 19.4 \ cm}\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cos%20%5Ctheta%20%3D%20%5Cfrac%7BAdjacent%7D%7BHypotenuse%7D%20%5C%5C%5C%5Ccos%20%5C%2071%20%3D%20%5Cfrac%7B6.3%7D%7BBC%7D%20%5C%5C%5C%5C0.33%20%3D%20%5Cfrac%7B6.3%7D%7BBC%7D%20%5C%5C%5C%5CBC%20%3D%5Cfrac%7B6.3%7D%7B0.33%7D%20%5C%5C%5C%5C%5Cboxed%7BBC%20%3D%2019.4%20%5C%20cm%7D%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hello :
sin(x) + cos(x) = √2(1/√2 sin(x) +1/√2 cos(x))
but : 1/√2 = cos(π/4) = sin(<span> π/4)
</span>sin(x) + cos(x) = √2( cos(π/4)sin(x) + sin( π/4) cos(x)) =√2<span>sin(x + π/4)
</span>because : cos(π/4)sin(x) + sin( π/4) cos(x)=sin(x + π/4) by identity :
sin(a+b) = sina cosb +cosa sinb
Answer:
<h2>
11.11 square yard </h2>
Step-by-step explanation:
Step one:
given data
charges=$90
installation=$9 per square yard
total cost of installation= $810
let x represents the number of square feet
Step two:
The expression for the installation cost is given as
810=9x+90------------1
solve for x, collect like terms
810-90=9x
720=9x
divide both sides by 9 we have
x=720/9
x=11.11 square yard
Dear Ffw299, we can find the circumference of a dime using the formula C=2πr. 2x3.14x8.5=59.5 millimeters in circumference.
Answer:
He will use the D box because it has a volume of

Step-by-step explanation:




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<em>brainliest</em><em> </em><em>appreciated</em>
<em>good</em><em> </em><em>luck</em><em>!</em><em> </em><em>have</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em><em>!</em>