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3 years ago

If sin Θ = 5 over 6 , what are the values of cos Θ and tan Θ? (2 points)

1 answer:

6 0

Cos² (theta) = 1 - (5/6)²
cos² (theta) = 1 - 25/36 = 11/36
cos(theta) = $\sqrt{ \frac{11}{36} }=\pm \frac{ \sqrt{11} }{6}$
tan(theta) = sin(theta) / cos (theta)= $\pm\frac{5/6}{ \sqrt{11}/6 }= \pm \frac{5}{ \sqrt{11} } =\pm \frac{5 \sqrt{11} }{11}$
Answer: D)

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♡LOTS OF POINTS TO RIGHT ANSWER♡

muminat

Answer:

$\approx19.16$

Step-by-step explanation:

To find the surface area of a cone, one uses the following formula,

$A=(\pi)(r)(r+\sqrt{h^2+r^2}})$

Where (r) is the radius of the base of the cone, and (h) is the height of the cone, ( $\pi$ ) represents the numerical constant (3.1415...). In order for this formula to work, one needs the height of the cone. This can be found using the Pythagorean theorem. One can form a right triangle with the base's radius, the side length, and height of the cone, then solve for the height of the cone. The Pythagorean theorem states the following,

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

Substitute,

$a^2+(1)^2=(5.1)^2$

Simplify,

$a^2+1=26.01$

Inverse operations,

$a^2=25.01\\a\approx5$

Now one can use the formula to find the surface area of a cone, substitute in the given values, and solve,

$A=(\pi)(r)(r+\sqrt{h^2+r^2}})$

Substitute,

$A=(\pi)(1)(1+\sqrt{5^2+1^2}})$

$A=(\pi)(1+\sqrt{25+1})\\A=\pi(1+\sqrt{26})\\A\approx 19.16$

6 0

3 years ago

The maximum error of the point estimate of population mean is found by:

Reika [66]

Answer: one-half the width of a confidence interval

Step-by-step explanation:

5 0

2 years ago

Help plz I don’t understand

otez555 [7]

Answer:

600 m²

Step-by-step explanation:

Area = 3.14 × 14 × 14 = 615.44

rounding off :

600 m²

7 0

3 years ago

Find the volumes of the figures below. I just need answers.

poizon [28]

Hello!

The volume of a cone is found by using the formula: V = 1/3πr²h.

Figure 1 --

From figure one, it shows us the radius, which has a length of 8 centimeters, and the height, which is 14 centimeters. With that values, we can substitute those values into the formula and solve.

V = 1/3π(8)²(14)

V = 1/3(64)(14)π

V = 64/3(14)π

V = 896/3π centimeters³, 938.29 centimeters³ (multiplied by π), and 937.81 centimeters³ (multiplied by 3.14).

Therefore, the volume of the first cone is 938.29 centimeters³.

Figure 2 --

From the second figure, the height of the cone is 19.6 and the diameter is 12. To find the radius, divide the radius by 2, which is will give the radius.

V = 1/3π(6)²(19.6)

V = 1/3(36)(19.6)π

V = 12(19.6)π

V = 235.2π, 738.53 (multiplied by 3.14), 738.90 (multiplied by π)

Therefore, the volume of the second cone is 738.90 units³.

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4 years ago

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asambeis [7]

Answer:

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Step-by-step explanation:

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3 years ago