3 years ago

Leah’s eye makeup is 5/8 of Tanya’s eye make-up. What is the ratio of Leah’s eye make-up to Tanya’s eye make-up?

Mathematics

1 answer:

AlexFokin [52]3 years ago

5 0

The numerator is 5 so it’s on the left and and denominator 8 is on the right so it 5:8 is the answer

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Find an equation of the circle that has center (-4,3) and passes through (6,-4).

kumpel [21]

Answer:

$(x+4)^2+(y-3)^2=149$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center of the circle and $r$ is the radius of the circle.

Given that $(h,k)\rightarrow(-4,3)$ and it passes $(6,-4)$ , their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(-4-3)^2+(6-(-4))^2}\\\\d=\sqrt{(-7)^2+10^2}\\\\d=\sqrt{49+100}\\\\d=\sqrt{149}$

Therefore, if the length of the radius is $r=\sqrt{149}$ units, then $r^2=149$ , making the final equation of the circle $(x+4)^2+(y-3)^2=149$

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3 years ago

An A-frame cabin is 26.23 feet high at the center and the angle the floor makes with the base is 53. How

Vsevolod [243]

Answer:

solution,

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