Answer:
224
Step-by-step explanation:
7x^2y, when x = 4 and y = 2
Plug in
7x^2y = 7 (4)^2 (2)
=7 * 16 * 2
= 224
3/5a = 1/4....multiply both sides by 5/3, cancelling out the 3/5 on the left
a = 1/4 * 5/3
a = 5/12
Answer:
V = 43323 mm³
(second answer is already correct)
Step-by-step explanation:
these pennies make up the shape of a cylinder, so, we can solve this question by solving for the volume of a cylinder.
the volume of a cylinder can be found with the formula:
V = πr²h
(V = volume ; π = pi ; r = radius ; h = height)
We know the diameter of this cylinder is 19.05 mm. Diameter is two times the length of the radius, (diameter is all the way across, radius is from center to outer / halfway across) meaning that we can find the radius by dividing 19.05 by 2.
diameter = 19.05
radius = 19.05 / 2 = 9.525
so, r = 9.525
we also are given the height of this cylinder, 38 mm
so, h = 38
π = 3.14159 (π is a constant)
plugging our measurements into the volume formula:
V = πr²h
V = (3.14159)(9.525²)(38)
V = (3.14159)(362.9025)(38)
V = 43323.4894628
[rounded to V = 43323 mm³]
And yes, the volume is not affected by a change in shape. (you are correct)
hope this helps!!
Answer:
To three decimal place = 0.030
Step-by-step explanation:
Let probability of death in white p (WH) = 86%
Let probability of death in black p(B) =12%
Let probability of death in Asian p(A) = 2%
Probability of death caused by diabetes among white will be 2.8% of p (WH) = 0.86 x 0.028 = 0.02408
Probability of death caused by diabetes among black will be 4.4% of p (B) = 0.12 x 0.044 = 0.00528
Probability of death caused by diabetes among Asian will be 3.5% of p (A) = 0.02x 0.035 = 0.0007
If a sample is chosen and the cause is diabetes then the probability will be
Probability of death caused by diabetes among white or Probability of death caused by diabetes among black or Probability of death caused by diabetes among Asian
0.02408 +0.00528 +0.0007 = 0.03006
To three decimal place = 0.030
Answer:
0.51 cm
Step-by-step explanation:
In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°
By the sine definition,
Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,
In the right triangle, two acute angles are always complementary, so
Thus,
