Answer:
Solution given:
Centre(h,k)=(-5,-9)
radius (r)=7
we have
Equation of a circle is;
(x-h)²+(y-k)²=r²
Substituting value;
(x+5)²+(y+9)²=7²
<u>(x+5)²+(y-9)²=49 is a required equation of a circle</u>.
Answer:
600
Step-by-step explanation:
since it is a right triangle based pyramid, 2 of them will make a cube. so, it is bwh / 2.
base = 24
width = 10
height = 5
volume = 1200
volume of pyramid = 600
Answer:
153.86 square feet
Step-by-step explanation:
The formula for the area of a circle is A=πr2
area = pi x radius squared
the radius is 7 feet, square that to get 49
multiply 49 by pi to get the area: 153.86 square feet
<u>8th Grade: </u>90 x 0.80 = 72
<u>7th Grade:</u> 80 x 0.75 = 60
Conclusion: 8th Graders like pop music more because 72 out of the 90 in 8th grade Dave surveyed enjoy it, compared to the 60 out of 80 in 7th grade that enjoyed it.
Answer:
<u><em>canvases over weeks
</em></u>
<u><em>
</em></u>
<u><em>Step-by-step explanation:
</em></u>
<u><em>
</em></u>
<u><em>Given:
</em></u>
<u><em>
</em></u>
<u><em>w(h) represents how many hours per week
</em></u>
<u><em>
</em></u>
<u><em>c(t) approximates how many canvases she paints per hour
</em></u>
<u><em>
</em></u>
<u><em>In function composition, if we have two function f(x) and g(x) then
</em></u>
<u><em>
</em></u>
<u><em>(f.g)(x) or f(g(x)) means first apply g(), then apply f() i.e. applying function f to the results of function g.
</em></u>
<u><em>
</em></u>
<u><em>Now we have c(w(h)), this means first we apply w(h) which will give us hours per week and then we'll apply function 'c' on the results of 'w' (that is number of hours for weeks painted). As result we'll get number of canvas </em></u>per week!
