The surface area of a cone is given by the formula S= il + gn2. Solve the formula for l.

Mathematics

2 answers:

REY [17]2 years ago

7 0

Answer:

l=(S-gn²/)i

Step-by-step explanation:

S= il + gn²
il=S-gn²
l=(S-gn²/)i

hjlf2 years ago

3 0

Answer:

NO SÉ A QUÉ TIPO DE CONO TE REFIERES, SI TE REFIERES A UN

CONO DE BASE REDONDA LA FÓRMULA ES:

Step-by-step explanation:

S = πr $\sqrt{r^{2} + h^{2}}$

DONDE r ES EL RADIO DE LA BASA Y h ES LA ALTURA.

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Find the length of the third side. If necessary, write in simplest radical form.

Mazyrski [523]

Answer:

$\boxed {\boxed {\sf 8}}$

Step-by-step explanation:

This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.

$a^2+b^2=c^2$

Where a and b are the legs of the triangle and c is the hypotenuse.

In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:

$a= 7 \\b= \sqrt{15}$

Substitute these values into the formula.

$(7)^2+(\sqrt{15})^2=c^2$

Solve the exponents.

(7)²= 7*7=49

$49+ (\sqrt{15})^2=c^2$

(√15)²=√15*√15=15

$49+15=c^2$

Add.

$64=c^2$

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

$\sqrt{64}=\sqrt{c^2} \\\sqrt{64}= c\\8=c$