To find the volume of a sphere, we can apply the following formula:
(4
/3)πr^3
We know the radius is 10, so we can plug that value in.
(4/3) * pi * 10^3
<h3>V = 4188.79020479in^3</h3>
The question says "exact" volume, so I've included all of the digits in the tenths and beyond place, without rounding.
Answer:
Distance traveled by Sierra in h hours at a rate of 2x miles per hour = 2xh
Explanation:
Distance traveled by a body = Velocity of the body * Time taken by the body
Here velocity of Sierra = 2x miles per hour
Time taken by Sierra = h hours.
Distance traveled by Sierra = 2x * h = 2xh
So distance traveled by Sierra in h hours at a rate of 2x miles per hour = 2xh
Point form: (4,11)
equation form: x=4 y=11
solution: option B and C both are correct i.e., option C is correct i.e., ∠E ≅∠H and ∠I ≅ ∠F .
option C is correct i.e., ∠E ≅∠H.
explanation:
it is given that ratio of corresponding sides of ΔFGE and ΔIJH are equal
i.e.,
and if ∠E ≅ ∠H
Then ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.
so option C is correct i.e., ∠E ≅ ∠H.
and option B is also correct
explanation:
since it is given that
And if ∠I ≅ ∠F
then ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.
Answer:
40°
Step-by-step explanation:
We can find the tangent of ∠J using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,
SOA stands for
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.
Considering triangle ΔJKL, where ∠L=90°, JK = 7.3 feet, and KL = 4.7 feet
As such, with respect to angle J, JK is the hypotenuse, KL is the opposite side
Hence
Sin J = 4.7/7.3
Sin J = 0.643835616
J = 40.08°
