Answer:
The measure of angle ERK is 55°
Step-by-step explanation:
step 1
Find the measure of arc EK
we know that
The diameter divide the circle into two equal parts
In this problem
EOR is a diameter
see the attached figure to better understand the problem
so
arc EK + arc RK=180°
substitute the given values
arc EK + 70°=180°
arc EK=180°-70°=110°
step 2
Find the measure of angle ERK
we know that
The inscribed angle is half that of the arc it comprises.
m∠ERK=(1/2)[arc EK]
substitute
m∠ERK=(1/2)[110°]=55°
Answer:
9.55 in
Step-by-step explanation:
First of all we have to find the base area
base area = radius^2 x 3.14 = 10^2 x 3,14 = 100 x 3,14 =314 in^2
the volume of a cylinder is
V = base area x height
so the height is
V/base area
3000 : 314 = 9.55 in
What you do is plug the numbers for each variable ur equation will look like 2(6)(-3)+4
lets solve it step by step 2(6)(-3)+4
12(-3)+4 then -36+4 and ur answer will be -32
Hi!
This is a fun one, as it delves into basic trigonometry.
We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,
a² + b² = c²
We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)
Let's do the one on the right first.
We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).
a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6
Therefore, the length of DC is about 7.6.
Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.
Have a great one!